diff --git a/hackathon/elastic_constants/MD/MD_01-10-25.ipynb b/hackathon/elastic_constants/MD/MD_01-10-25.ipynb new file mode 100644 index 0000000..ebbf357 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_01-10-25.ipynb @@ -0,0 +1,34532 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "fee4e526", + "metadata": {}, + "source": [ + "We compare our values with the paper - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4\n", + "\n", + "Copper [Mishin potential](https://www.ctcms.nist.gov/potentials/entry/2001--Mishin-Y-Mehl-M-J-Papaconstantopoulos-D-A-et-al--Cu-1/)" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:63: UserWarning: calc_static_with_qe(), evaluate_with_qe() and optimize_positions_and_volume_with_qe() are not available as the import of the module named 'pwtools' failed.\n", + " raise_warning(module_list=quantum_espresso_function, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/__init__.py:41: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:94: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " # analyse_structures_helper,\n", + " # generate_structures_helper,\n", + "\n", + " get_tasks_for_elastic_matrix,\n", + " analyse_results_for_elastic_matrix\n", + ")\n", + "\n", + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name\n", + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib\n", + "from atomistics.calculators.lammps.libcalculator import calc_molecular_dynamics_langevin_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_npt_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_nvt_with_lammpslib" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True)\n", + "len(unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1007230a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "500" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5)\n", + "len(repeated_unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict = None) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There is at least one non-excluded one OpenFabrics device found,\n", + "but there are no active ports detected (or Open MPI was unable to use\n", + "them). This is most certainly not what you wanted. Check your\n", + "cables, subnet manager configuration, etc. The openib BTL will be\n", + "ignored for this job.\n", + "\n", + " Local host: cmti001\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(\n", + " unit_cell, \n", + " potential_name_str, \n", + " lmp_optimizer_kwargs\n", + " )\n", + "\n", + "relaxed_unit_cell" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict = None) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(\n", + " structure=structure, \n", + " potential=potential,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "3.61500008107858" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(\n", + " structure=unit_cell, \n", + " potential=potential_name_str,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs)\n", + "\n", + "a_0 # Angstrom" + ] + }, + { + "cell_type": "markdown", + "id": "00afafda", + "metadata": {}, + "source": [ + "We get the same lattice constant at 0K as the reference paper!" + ] + }, + { + "cell_type": "markdown", + "id": "487ad8a1", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "6da5fde2", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(\n", + " structure : Atoms, \n", + " strain : float = 0.005\n", + " ):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "66091ecb", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(\n", + " tensor_dict : dict, \n", + " strain : float\n", + " ) -> list[float]:\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "fdd3131b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " relaxed_dict = calc_static_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " strained_dict = calc_static_with_lammpslib(\n", + " structure=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + "\n", + " stress_diff = strained_dict['stress'] - relaxed_dict['stress']\n", + " \n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a1655241", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_0K(\n", + " structure : Atoms, \n", + " potential_name : str,\n", + " strain : float = 0.005\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_0K(\n", + " structure=structure,\n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "cc4c0ef2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(relaxed_unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "ee98fe5d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0, tensor_dict_0 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell, \n", + " potential_name=potential_name_str,\n", + " strain=0.005\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8d66bf8b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the 0K code was independent\n", + "elastic_constants_list_0 # TODO: Bar, change to GPa" + ] + }, + { + "cell_type": "markdown", + "id": "606b4dec", + "metadata": {}, + "source": [ + " 𝐶11=169.9GPa, 𝐶12=122.6GPa, and 𝐶44=76.2GPa" + ] + }, + { + "cell_type": "markdown", + "id": "3126ed0f", + "metadata": {}, + "source": [ + "#### Comparing with paper" + ] + }, + { + "cell_type": "markdown", + "id": "4d364244", + "metadata": {}, + "source": [ + "#### Larger super cell" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "11aa1585", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0_r5, tensor_dict_0_r5 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell.repeat(5), \n", + " potential_name=potential_name_str,\n", + " strain=0.005\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "f068c7e3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "500" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(relaxed_unit_cell.repeat(5))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "c33bfe89", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.675027139, 1214497.722894898, 762691.2007684085]" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the 0K code was independent\n", + "elastic_constants_list_0_r5 # TODO: Bar, change to GPa" + ] + }, + { + "cell_type": "markdown", + "id": "dc1c5c62", + "metadata": {}, + "source": [ + "### Varied strain" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "afdb1be8", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0_r5_s_0d0005, tensor_dict_0_r5_s_0d0005 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell.repeat(5), \n", + " potential_name=potential_name_str,\n", + " strain=0.0005\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "ce937595", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.8, 122.5, 76.2])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the 0K code was independent\n", + "elastic_constants_list_0_r5_s_0d0005 # TODO: Bar, change to GPa\n", + "np.round(np.array(elastic_constants_list_0_r5_s_0d0005)/(10**4), 1) #GPa" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "7f31c5dc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0_r5_s_0d00005, tensor_dict_0_r5_s_0d00005 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell.repeat(5), \n", + " potential_name=potential_name_str,\n", + " strain=0.00005\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "96c34910", + "metadata": {}, + "source": [ + "Too small!" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "ad42bff1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.9, 122.6, 0. ])" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the 0K code was independent\n", + "elastic_constants_list_0_r5_s_0d00005 # TODO: Bar, change to GPa\n", + "np.round(np.array(elastic_constants_list_0_r5_s_0d00005)/(10**4), 1) #GPa" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d5c86034", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "9ae7a71e", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0_r5_s_0d0001, tensor_dict_0_r5_s_0d0001 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell.repeat(5), \n", + " potential_name=potential_name_str,\n", + " strain=0.0001\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "a3af7799", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.9, 122.6, 76.2])" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the 0K code was independent\n", + "np.round(np.array(elastic_constants_list_0_r5_s_0d0001)/(10**4), 1) #GPa" + ] + }, + { + "cell_type": "markdown", + "id": "d7432d13", + "metadata": {}, + "source": [ + "We get the same as the reference paper\n", + "\n", + "𝐶11=169.9GPa, 𝐶12=122.6GPa, and 𝐶44=76.2GPa" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a5590c67", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "1d4d9117", + "metadata": {}, + "source": [ + "## Reference function to fit elastic constants (Jan + Yury)'s" + ] + }, + { + "cell_type": "markdown", + "id": "921512df", + "metadata": {}, + "source": [ + "Requires only `relaxed_unit_cell` and `potential_name_str` from previous cells" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "abfe2e9f", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(structure: Atoms, potential: str, strains, stresses=None, energies=None):\n", + "\n", + " task_dict, sym_dict = get_tasks_for_elastic_matrix(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True\n", + " )\n", + "\n", + " potential_df = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict=task_dict,\n", + " potential_dataframe=potential_df,\n", + " )\n", + " \n", + " elastic_dict, sym_dict = analyse_results_for_elastic_matrix(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "07218d2f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "# relaxed_structure = get_relaxed_structure_at_0K(unit_cell, potential_name_str)\n", + "elastic_dict = fit_elastic_constants(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str,\n", + " strains=None\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "2b379a68", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "9d40a4ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[169.74837326961014, 123.55258250676765, 76.24914297264033]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_reference = [\n", + " elastic_dict['elastic_matrix'][0,0], \n", + " elastic_dict['elastic_matrix'][0,1], \n", + " elastic_dict['elastic_matrix'][3,3]\n", + " ]\n", + "\n", + "elastic_constants_list_reference" + ] + }, + { + "cell_type": "markdown", + "id": "3bfb90c7", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "id": "d35b8305", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential : str, \n", + " temperature : float = 500, \n", + " seed : int = 4928459, \n", + " cell_scale_value : int = 5,\n", + " thermostat : str = 'langevin'\n", + " ) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(cell_scale_value)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " )\n", + " \n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " structure_npt = bulk('Cu', a=npt_lattice_constant, cubic=True)\n", + " structure_repeated_npt = structure_npt.repeat(cell_scale_value)\n", + "\n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " # structure_repeated_npt = structure.copy()\n", + " # structure_repeated_npt.set_cell(\n", + " # [[npt_lattice_constant,0,0], \n", + " # [0,npt_lattice_constant,0], \n", + " # [0,0,npt_lattice_constant]],\n", + " # scale_atoms = True\n", + " # )\n", + " # structure_repeated_npt = structure_repeated_npt.repeat(cell_scale_value)\n", + "\n", + " if thermostat == 'nose-hoover':\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " nvt_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " )\n", + " \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "markdown", + "id": "0c365654", + "metadata": {}, + "source": [ + "#### Comparing with paper" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "0982c65f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 200., 400., 600., 800., 1000.])" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "temps = np.linspace(200, 1000, 5)\n", + "temps" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "d35d730e", + "metadata": {}, + "outputs": [], + "source": [ + "equilibriated_cells_dict = {}" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "id": "46199553", + "metadata": {}, + "outputs": [], + "source": [ + "equilibriated_cells_dict_test = {}" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "3e2eae2c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "for temp in temps:\n", + " equilibriated_cells_dict_test[temp] = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=temp, \n", + " seed=1234,\n", + " cell_scale_value=5\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "641d2fe7", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "for temp in temps:\n", + " equilibriated_cells_dict[temp] = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=temp, \n", + " seed=1234,\n", + " cell_scale_value=5\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "2eaf66a3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{200.0: Atoms(symbols='Cu500', pbc=True, cell=[18.13009526549904, 18.13009526549904, 18.13009526549904], momenta=...),\n", + " 400.0: Atoms(symbols='Cu500', pbc=True, cell=[18.189762350319793, 18.189762350319793, 18.189762350319793], momenta=...),\n", + " 600.0: Atoms(symbols='Cu500', pbc=True, cell=[18.25254286101205, 18.25254286101205, 18.25254286101205], momenta=...),\n", + " 800.0: Atoms(symbols='Cu500', pbc=True, cell=[18.32136441717797, 18.32136441717797, 18.32136441717797], momenta=...),\n", + " 1000.0: Atoms(symbols='Cu500', pbc=True, cell=[18.396310570465143, 18.396310570465143, 18.396310570465143], momenta=...)}" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "equilibriated_cells_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "c9180f1a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{200.0: Atoms(symbols='Cu500', pbc=True, cell=[18.13009526549904, 18.13009526549904, 18.13009526549904], momenta=...),\n", + " 400.0: Atoms(symbols='Cu500', pbc=True, cell=[18.189762350319793, 18.189762350319793, 18.189762350319793], momenta=...),\n", + " 600.0: Atoms(symbols='Cu500', pbc=True, cell=[18.25254286101205, 18.25254286101205, 18.25254286101205], momenta=...),\n", + " 800.0: Atoms(symbols='Cu500', pbc=True, cell=[18.32136441717797, 18.32136441717797, 18.32136441717797], momenta=...),\n", + " 1000.0: Atoms(symbols='Cu500', pbc=True, cell=[18.396310570465143, 18.396310570465143, 18.396310570465143], momenta=...)}" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "equilibriated_cells_dict_test" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "585b271d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.0, 0.018)" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(temps, [((structure.get_volume()/(len(structure)/4))**(1/3)/a_0)-1 for temp, structure in equilibriated_cells_dict.items()], \"--o\")\n", + "plt.xlim([0, 1000])\n", + "plt.ylim([0, 0.018])\n", + "# plt.scatter(0, a_0)" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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xrK0NDB58lkyZ4tDpdBiN5ld4f/R6PUuWLOHRo0ds3rxZAsv7cuXKFSpVqkSNGjVeGFiWLVtGx44dE51jMBho06YNx48fTxRYLl68aAosS5cuNbV/VWBp2LAh+/fv548//qBNmzaoqsr48eMZP348f/zxB+3btzddR1VVrl+/TkhICAB///03s2fPZvPmzdLD8o5iYmI4e/Ys+fPnl16BdxQbG8uZM2fkXiYDVVU5d+4cadKkIU+ePObVIolu3LhBWFgYJUqUsLjA4usL48frOXPGkdhYK6ysFHLliiYqypr79+0pXlxl6dJIXFwST9z4UCZPnpwie1hQFEW11BISEqKWKVNGrVGjhhoVFWU6Pn78eNXe3l7du3fvc+cYjUZ1+PDhqrOzs3r27FnT8WPHjqlOTk7qmDFjErU3GAxqixYtVFdXVzUyMtJ0PDY2Vm3UqJGaLVs29erVq6bjO3bsUG1tbdUFCxY899rPlm3btqkFChRQb9++/VydlKSVyMhIddeuXWpwcPBzdVKSVuReJl8xGo3qoUOH1IsXLz5XJyXp5eLFi+qhQ4dUo9H4XN2HLDdvKmrZsooKLy41ayrq6dPPn/chy+jRo9XatWursbGxz9V9zMWiB906OjqSP39+Lly4wM2bNyHhN8RDhw6RNWtWXFxcIOHxy6NHjzAajeh0OooUKUJoaCgHDhwwXWv//v1ER0dTokQJ0zESus+eDp57diCttbU1X3zxBY8fP+bq1aum41euXMFgMLx2lpAxoU9QHgW9O7mHyefpvZR7+u5UVZX7mIws9b25aROcOGF+9F9Fi0LJkuZHxX/BogOLjY0Nbdq0ITQ0lKFDh7Jt2zbGjRvHvn37aNasmelxz6pVq2jatCl3794FwM3NjaJFizJ79my8vLz4/fffmTVrFsWLF6dixYqQ8Jjhjz/+4Ndff+XSpUvcuXOH6dOnM3PmTK5du4ZOp6Np06ZkzpyZMWPGsGXLFlasWMHUqVPJly8fFSpUSPS1CiGESHmuXTM/ktjp09rmhuK/Z9GBBaBOnTqMHDmSU6dO8c033+Dp6Unz5s354YcfTLOGoqOjefz4salXI1u2bPzyyy9kzZqVoUOHMnbsWLJnz87MmTPJljDPLCYmhsWLF/Pzzz9z7949YmJimDZtGlOmTDH1qBQrVoyZM2cSHh5O//79GT58OFmzZuXnn3+WWQFCCPEJeN14akdHbUqz+O9Z9KDbp4xGI3fu3DGNyM+ePTuOjo6m+pCQEEJCQsiZM2ei0fpPnjzh/v37qKpKhgwZyJAhg6nu6TVftMR+9uzZSZUqlenvwcHBhIWFATx3nZfZunUrAwYMwNvbm5w5c5pXiySIiorC19eXkiVLkjlzZvNqkQRP72WJEiXIkiWLebVIgqfbdjg7O1O4cGHzapFEfn5+hIaGUqFCBdMvo5bg99+hV6+XT1GeOhV+/NGy9ggaO3YsR44cSXGDbi3nXfEKVlZWfPbZZxQsWJD8+fMnCisA6dOnx8XF5bmphWnTpqVAgQIULFjwuZDx9JoFChR4rjwbVkhYZK5gwYIvvI4QQoiUaf9+WLz45WGlYkVo1cqywkpK9lEEFiGEEOJ9UVXYuRO6doUjR+Dzz6FnT21wba5cULAgDBgAS5dC7tzmZ4v/igQWIYQQIkF8PMyfD199BTdvQqNG8Oef8NtvsHs3HDgAPj7a0vsFC5qfLf5LEliEEEKIBAaDFkoePIAOHbQNDPPl0x77ZMoEn30G2bPLY6APQQKLEEKIT15kJISEgIMD/O9/MGeO1tMicyYshwQWIYQQn7TLl7VHQN98A48eQYEC8PXX8Jr1QcV7JoFFCCHEJ8vfXwsna9bAvn1w44Z5C2EpJLAIIYT4JO3eDW3aaNOXixQBT09tRpCwTBJYhBBCfFIMBtiyRVsQ7tw5KFtWWyDO3R2e2VJOWBgJLEIIIT4pRqP2COjGDWjQQPvvL780byUsjQQWIYQQn4SICG0mkJ0dDB8OY8dq05Zla7iPgwQWIYQQKYqqwpUrcOwYnDoFYWFaUBk4UCuPH2tjVkaPlpVqPyYSWIQQQqQYDx5oPSe1a0OtWlpp2BBat4aFC2HzZrh0yfws8TGQwCKEECJFiInRek3+9z9tfMrTR0B//w3e3toKtb/8AuXKmZ8pPgYSWIQQQqQI/v6wdq350X99/jm0bSszgT5WEliEEEKkCMePQ2io+dF/+ftDcLD5UfGxkMAihBAiRVAU8yOJWVtL78rHTAKLEEKIFKFQIUiVyvzov4oUgQwZzI+Kj4UEFiGEEB+9y5dh8mRt1+UXyZwZ+vYFe3vzGvGxkMAihBDio7Z3L7RrB3/9BfnzQ4cOkCuXtkBcunTg6qotvV+rlvmZ4mMigUUIIcRHyWCAP/6AHj3g5EmoWBEWLYLFi2HPHti6VQsxW7Zoa7Ho5SfeR03++YQQQnyU4uJg9WptzZXGjcHLCypVAhsbKFAAatbU1lxJn978TPEx+igCi8Fg4PLly2zdupWTJ08SERFh3uSFgoOD8fb2Zv/+/dy/f9+8GoPBwOPHj/Hz8+PmzZsorxhirigK165dw9/fn+joaPNqIYQQ78mjR9r0ZUdHGDMGfv5Z61XJk8e8pUhJLD6wREZG8tNPP+Hm5kbHjh2pU6cO3bt35+7du+ZNTVRVZfv27TRs2JCWLVvStGlTGjRogI+PD6qqAnDz5k26d+9O9erVqVatGt999x1xcXHmlzLZvXs3tWrVon79+vj7+5tXCyGEeA+uXNHGqAwerK1kW66ctj+Qs7N5S5HSWHxg2blzJ5MmTcLV1ZW1a9fSt29ftm7dyrx58zAajebNAbh79y6DBw8mJiYGDw8PZs6cycOHD/n+++8JDAwEICwsjCtXrlCwYEEcHBx4/PixKcyYCwwMZNy4cdy4cYOHDx9iMBjMmwghhPiP7dun7Qm0axccPgz37pm3ECmZRQcWg8HAtm3bcHZ25qeffsLd3Z0RI0bg5uaGl5fXS3tZ9u7di7+/P/369aNly5Z07tyZb7/9Fj8/P44cOQJAkSJF2L59O6tWraJ8+fIvfRxkMBiYMWMGjx8/pkaNGi8NNUIIIf4bigLLlkH37nD6tDbrZ/58cHExbylSMosOLJGRkZw9e5ZixYqRK1cuAGxtbXF1deXevXtcu3bN/BRUVcXf35/06dNTtWpV0/GqVavi6OjI+fPnAbC2tiZdunRYWVk9c/bzdu/ezeLFi/nxxx8pUaLES4ONOZ1OZ35ICCFEEkVEaBsWfvst3LoFTZpoM4MqVwb5mP206BRFsdgugytXrlCpUiVq1KiBl5eXKQR4eHjQq1cvli1bRseOHROdEx8fT5s2bThx4gS+vr7kyJEDgIsXL1KpUiWaNGnC0qVLTe0VRaFNmzYEBQWxe/duHBwcTHWBgYE0a9aMjBkzsnLlSkaNGoWHhwf79++nnNl2n4qiMHv2bP755x9IeCx19epVFixYQObMmRO1FUljMBh4+PAh6dKlw15WfXonci+Tj6qqPHz4EFtbW9KmTWteLZIoLOwJcXFxZMiQEZ1OZwojISHw44+fceFCOho1uk3//o9Il06HdHa/mE6n47fffuPWrVts2bIFGxsb8yYfLYvuYVEU5aXjVEj4wHiRqKgo80Omti87x1x8fDwzZswgODiYCRMmkCZNGkh4M1i/ZDMKe3t7nJyccHJyMgUfKysrrK2tsbKykvKW5en91uv1z9VJSVqRe5l8xdraGp1OJ/fyHYq1tRW2tlbo9VaEh9sQHm6LlZU1trZW3LtnRXi4FZkzWzFqVBTTp4cxYkQkGTNao9c/fy0pWnn6vkyJLLqHJSgoiKpVq/L555+zZs0a9Amr/sydO5cBAwawceNG6tatm+gcRVHo378/69ev5+DBg+TPnx+AM2fOUK1aNTp16sTs2bMTtX9RD8vt27epXLkyWbJkoW3btuh0OjZs2MDRo0fp168fdevWxd3d3XQdc9u3b+eHH37A29ubnDlzmleLJIiOjubQoUOULFlSeqvekdzL5KOqKocPH8bZ2ZnChQubV4s3oKra4Nlly+DgwViMRiNubo588QXMmwfVq8OECaB9LKtAyvxBnNzGjh3LkSNHpIflfXJ2diZ//vycO3eO4Gf2BD979izp0qUjX758idqT8Jtj3rx5efDgARcvXjQdv3TpEhEREZQoUeK59iT0nDz9bxI+jDJkyMDt27f5+eefmTx5MsePHyc+Pp4lS5awY8eOZ67yvDcd6yJe7017xcTrJbWnUbyc3MN3t307tGwJCxeCn58dAQGOLFgAvXrBqVNw/rz2SEgjYeVTZ9GBxdbWFnd3d65evcrq1auJiorin3/+YdeuXVSsWNE0EPfYsWPMmTOHkIR3dtWqVUmdOjVz587l2rVrBAcHs2rVKtKnT88XX3wBCYHiwYMH3L17l5iYGGJjY7l79y6BgYHExMSQLVs2/vzzT/bv38/Bgwc5ePAgLVu2xM7Ojt9//50hQ4Yk+lqFEEK8uYgImDULnvld1ERRIGtWbUG47NnNa8WnyqIDi06no1WrVlSqVIn//e9/NGjQgJYtW6IoCt98841p0KCPjw+jRo3i0aNHAJQqVYpu3bpx8OBB6tevT926dfHx8eG7776jZMmSkLAOS+fOnalUqRJ79uzh9OnTuLm5UbVqVXx9fbGxscHFxYWCBQuaSpo0aVAUhdy5c5MlS5ZEX6sQQog3FxAAx4+bH/1XVJS29L4QT1l0YAHIlSsXXl5e/PTTT7i6utKrVy82b95MzZo1TW0qV67M0KFDcU5Y6tDW1pbx48ezfPlyWrZsSePGjVm5ciUDBw40DTq0tbWlfv36dOzYkUGDBjF06FA6depE+/btTTOLzNWrV48RI0aQLVs28yohhBBJEBkJMTHmR/8VF/fqevHpsehBtx+zrVu3MmDAABl0mwyioqLw9fWVgaLJ4Om9LFGihPQSviNFUThy5IgMun1LN25AtWpw+7Z5jSZrVvD2hiJFzGvE68igWyGEECIZxMTAzp3PDqh9XsuW8IJ5FeITJoFFCCHEe/PoEYwcCQMGaONUypSBdOn+rXd0hI4dYehQsLV99kzxqZPAIoQQ4r24cUPbD+jXX8HKCsaMgW3bYN06GDz4Pv3732DtWpX582V2kHieBBYhhBD/uTNnoE0b2LIFcuXSQsvw4ZAlC7i5wVdfPaJDh0Dq1VNJlcr8bCEksAghhHgPHB21mT9lysCSJdCjh9bL8pTBAEajDllzU7yMBBYhhBD/iYgI+OsvCA2FAgXg999h9WqoUcO8pRCvJ4FFCCFEsrt9G/r1g+bNYf58MBqhbFmZ+SPengQWIYQQyeroUejUSdvUMHVqyJDBvIUQSSeBRQghRLIwGmHTJm0m0IEDkD8/eHo+P15FiLchgUUIIUSy2LFDCyt+fto4lbVroU4d0MtPGpEM5G0khBDijSmKtvjb/fvP7/WTM6e2pH737vDHH/D554nrhXgXEliEEEK8kYsXtYG0tWpp+wC1bg3z5sGiRRAWBqVKwcqVMHUqyB6xIrlJYBFCCPFafn7QtSv89pu2CNylS7B1qxZgvvkGli4FVYWSJSF9evOzhXh3EliEEEK8ksEAs2bB8ePmNRq9XluxVoj/kgQWIYQQrxQaCocOmR/9V1yctkicTmdeI0TykcAihBDilUJDtfIyigL37pkfFSJ5SWARQgjxStmyvXqFWhsbbcCtEP8lCSxCCCFeKjYWNmyA4GDzmn+5u0P58uZHhUheEliEEEK8UEgIjB8PvXtrs4KqVYPMmf+tt7eHhg1h9mzImPHZM4VIfhJYhBBCPOfqVejVCyZP1qYrf/cdrFoF27fD3LkwbRr8+ae29H7evOZnC5H8JLAIIYQwMRi0fYDatNECSdasMGUK/PyzNnW5TBno0wd++AHq15c1V8T789EEFlVVCQ8PJz4+3rzqlaKiooiOjjY/nCSxsbGEhYWhKIp5lRBCpCjR0Vo4OXlSG0i7eLG2MJytrXlLId6vjyKwnDx5km+++YYaNWrQrl07NmzYgMFgMG+WSHBwMBMmTKBu3bo0aNCAGTNmEBISYqqPiopiy5YtTJw4kV69ejFt2jTi4uJM9YqisH//fgYNGkSTJk1wc3OjS5curF27NsmhSQghLN2TJxAZCU5OMGSI9jho+XJt80IhLIHFB5YzZ87QsWNHNm/eTNGiRblx4wbdu3fHy8sLVVXNmwMQFhbGDz/8wKRJk8iUKROOjo4MGzaMkSNHmnpb/P396dGjB1OnTsXT05ONGzdiNBpN14iPj2fSpEksWbIEa2trChcujLe3N1999RXr169/5tWEEOLjdvs2fP21Nl4lOhqqVtXGqRQtat5SiA/HogOLoih4enpy48YNZs2ahaenJytXriRr1qzMnj2b0JesZHTq1Ck2b95Mnz59WLlyJatXr6ZVq1YsW7aMU6dOAZArVy5+++03fHx8qFmzpvkl0Ov19OrVi7/++ot169axfPlyvLy8SJUqFR4eHkRGRpqfIoQQH51jx6BtW1i7FlavhsBA7bjeon86iE+RRb8lo6OjOXbsGAULFqRGjRoAFChQgFq1anH58mVu3bplfgoAhw8fBqBp06bY2tqSKlUq2rdvj8FgMAWWTJky0axZM0qXLk2qVKme662xsbGhWbNmlC1bFjs7O3Q6HeXKlSN79uw8fPjwtY+krKysANDJWtXvTO5h8nl6L+WevjudTvdR30eDQZv107YtHD6sDaadPfvVC8T9l+S9KV5HpyjKi5+rWIDr169TuXJlKlWqxKpVq9AnRP7ffvuNfv36sWrVKlq2bJnoHKPRSJ8+fdi5cyeHDh0iV65cAFy8eJFKlSrRtm1b5s+fb2qvKApt2rQhKCiI3bt34+Dg8MzVEtu2bRvt2rUzXeNpKCFhULC/vz8PHz6EhNC0cOFCNmzYQPbs2Z+5ikiq2NhYzp07R758+UgvUxLeidzL5KOqKhcuXCB16tR89tln5tUWQacDvV77iFdVUBQtDMTG6vHwSMuMGXqePFGpXj2M8ePjKVZMx4eaW3Dz5k3Cw8MpVqyYhJZ39PPPP3P27Fm2bNmCjY2NefVHy6IDS0BAAK6urtSqVYuVK1ea3sQLFy6kd+/eeHp60qlTp0TnxMXF0ahRI/z9/fH19SVHjhwAXLhwgUqVKtGkSRM8PT1N7d80sFy6dImWLVsSHx/PihUrKFu2bKJ6RVHo378/O3fuhIRBvTqdjmnTppEpU6bnenDEm1NVlZiYGGxtbROFRJF0ci+TV0xMDFZWVhb5Q0GvhwcP9Ny44cjDh45kzRpBgQJRpE6t8vChPSNHluXmTQeaNr1L69ZXSJfO8MHCCgnjBo1GI/b29uZVIgn0ej1Lly7l4cOHbN682SLfm2/LogPL1atXqVSpEm5ubnh5eZkCi4eHB71798bLy4s2bdokOsdoNNKjRw98fHw4dOgQOXPmhGd6WJo2bcqSJUtM7d8ksFy+fJkePXpw7949fv/9dypXrmzeBFVVCQoKIjw8HID9+/czdepUtm7dagpN4u3ExMRw8uRJChUqRIYMGcyrRRLIvUw+qqpy+vRp0qZNi4uLi3n1B6WqsHs3jB2rIyDAjvh4K+ztDVSuHMuoUdp05aNH7bl1y4pmzaKwsVFQ1Q/bq3H16lXCwsIoVaqU9LC8o4kTJ3Ly5EnpYXmfwsPDqVWrFg4ODmzfvh1HR0cAxo4dy/Tp0/Hx8XmupwNg3Lhx/PLLL+zZs4cKFSpAQoCoV68eo0aNYtiwYaa2rwssT8PK+fPn8fLyos4bzvHbvn07P/zwAz4+PhJY3lF0dDSHDh2iZMmSZH52XXCRZHIvk4+qqhw+fBhnZ2cKFy5sXv1BXbgATZtqq9Wac3XVBthmy2Ze82H5+/sTEhJCxYoVJbC8o7Fjx3LkyJEUF1gsetCto6MjZcqU4eTJk/j6+gIQGBjI5s2b+eyzz8idOzckjHXZu3cvUVFRABQpUoTo6Gh27tyJqqoYjUZ27NiBTqfjyy+/TPQaer3eNHjO2tradFxVVQICAujZsycXL15k+vTpbxxWSAhCJFxHvBu5h8nn6b2Ue/ruLPUeKoo2mPZFYQW0Abbr1pkf/fDkvSlex6IDi5WVFR06dMDR0ZH+/fszY8YMvv76ay5cuEC3bt3ImLDb1rp162jfvj1BQUEAVK9enRo1ajB9+nRGjx7N6NGjmTt3LtWqVTP1yERFRTF79mxGjBjBmTNnuHr1KqNGjWL06NFcunQJRVEYO3YsBw4cIGvWrPj7+zNy5EhGjhzJnDlz3nn1XCGE+C/ExsKhQ+ZH/6WqcO2a+VEhLJ9FBxaAL7/8knnz5pEtWzZmz55NYGAg48ePp0ePHqZuQxcXF9zd3U2PjDJnzsy8efNo2LAhq1evZt26dbRr147p06eTOnVqSBjr4u/vz+nTpylYsCBffPEF586d4/Tp0zx58gSdTke+fPlo1KgRefPm5cyZM5w6dYpTp05x6dKlRIvMCSGEpdDrIeGj8KVkjRXxMbLoMSzPioiI4MmTJzg4OODs7JyoTlEUFEXBysoq0bPP+Ph4Hj58iE6nI1OmTM9NQ1YU5YXdj08fE72sXqfTmdq8zNatWxkwYADe3t6mgb/i7URFReHr6yvjLpLB03tZokQJsmTJYl4tkkBRFI4cOWKRY1jmzNF2V37Bxxe2trBsGbRubV7zYfn5+REaGkqFChVMS1iItyNjWD4wJycncuTI8VxYISFgWFtbPxcgbGxsyJYtG1mzZn1uCqdOp8PKygpra+vnytMw8rJ682AkhBCWIDBQCyN16oCbm3mtpk4d2R9IfJw+msAihBDi5U6fho4doWdP2LsXFi6EPn2gYEFIk0b784cftN6XtGnNzxbC8klgEUKIj1h8PKxZoy2xv28f5MwJmTODiwvMmgXe3rBrl/bnlCmQsPi3EB+dDxJY/v77b7Zt20Z8fLx5lRBCiDegqhASou2w3LMnBARA7dpaeGnSRGtjZQU5ckD58tqfsrix+Jh9kMDi4eHB2LFjiY2NNa8SQgjxBlRV60EZNw7i4qB3b/D0hLJltT2EhEhpkj2wXLx4kRMnTryyPJ25I4QQIukURZuaXKeO1nsyfTr8+ivIxC+RkiV7YPn666+pUaMG1apVo2rVqi8su3btem7WjhBCiFeLi4OZM+F//4OoKC2srFsHvXqB7BkoUrpkDywkrHHSqlUrunXr9sKSL1++F65vIoQQ4sWCg2HQIBg6FH75RZsVpNdrewJJh7X4FCR7YClTpgypU6dm1KhRzJkz54Xliy++IC4uzvxUIYQQL3DmDLRvD7Nng4MDDBwIRYuatxIiZUv2wOLq6oqjo6NpX58XKVy4MF988YU8FhJCiARGI9y5o+0D5OenPfIxGmHjRmjVSpuynC8f/PYbjBwJ6dKZX0GIlC3ZA0vDhg3ZsWMHpUuXNq8yGTx4MLNmzcJeHroKIQR378KwYVCzJtStC7VqaeuqHD4MHh5w5Yo2wHb1am1JffldT3yKkj2wODk5kT9/ftNGhC9ia2uLvb29zBQSQnzyIiO1FWh/+QUuX9b+HhQEW7fCgAHQuDEMHw6LF0OZMuZnC/HpSPbAIoQQ4s3t3Qvbt5sf1fzzj/Z4aPx4bXCtEJ8yCSxCCPEBnTihjVd5mSNHICLC/KgQnx4JLEIIIYSweO8lsGzatIlff/2VqFf9GiGEEJ+gQoW09VRextUVnJzMjwrx6XnFt0ny2blzJwsWLCAmJsa8SgghPmkVKkCxYuZHNblyQceOrw40Qnwq3su3gV6vx9ra2vywEEJ8kh480DYqfPIE8ubVpi63bg3OzuDoCGnTwpdfwty58IoVIoT4pLyXwCKEEEJz+jR06aLt/+PhoW1kWL48LF0Ku3fDX3/Brl3atOaGDWXZfSGeksAihBDvgdEImzdrPSk7d0Lu3Fp5yt5e602pVAnKlYP06Z89WwghgUUIIf5jjx/DxInQtau2am21avDHH1p4kfEpQrwZ+VYRQoj/2NKlMGYMREdDv36wfLk22FYI8eY+isASGRnJ7t27mTdvHmvXriU4ONi8yXMUReHkyZN4eHiwePFiLly4gKqqieqfPHmCn58fx44dw8/PD0VREl0DICoqCm9vb+bPn8/q1asJDAw0byKEEM9RFIiP1/67WjUtoMyYAVOmQI4c5q2FEK/zXgKLoigYDAbzw28kLCyM4cOH06JFC6ZOnUqPHj3o0KEDly9fNm9qYjQaWb58OQ0bNmTMmDEMGzaM+vXrs3r1alNouXLlCvXr18fNzQ13d3cGDhxIbGxsoutER0czbtw4mjVrxvjx4/nmm29o0qQJvr6+idoJIcSzIiJg+nQYOFCbCVSmjLbrcs+e2lgVIUTSvZfAUqNGDbp06ZLk3ZlVVWX16tXMnz+f9u3b4+3tzZQpUzh27Bj/+9//iIuLMz8FgAsXLjBkyBBy587N1q1b+fPPP0mTJg1jxozh1q1bABgMBgoXLky/fv0oXLgwYWFh5pdh7969zJkzhxYtWuDj48OKFSsICgpi6tSpsgieEJ84vR6srFT0+n97bgGuXdMe+wwdCr//ri29r9NBliwyXkWId/Fevn1atWrF8OHDX7mD84vEx8ezdetWcuTIwbBhw3BxcaF79+7UrVsXb29v7t69a34KJASN+/fv8+OPP1KmTBmqVKnCgAEDuH79OocPHwagUKFCeHh4MHLkSD777LNEj4tI6KVZv349tra2fP/99xQpUoQ6derQsmVL9u7di7+/f6L25mQnaiFSLkXRNiU8cSItJ0868uABqCr4+EDbtrBsmbaWysSJ8MUX5mcLId7GewksbyskJISAgABKlSpFzpw5AbCxsaFKlSqEhIRw7do181NQVZXg4GAyZszI559/bjr++eef4+DgwNGjRwGwsrJCr9ejKMpzYYWEHphr165RsGBB8ubNazpeqlQpwsPDuXDhQqL2qqpiNBoxGAwYDAaMRqPpuJR3L3Ivk688+56VktSicP++wtixULeujgEDitCzZy7q14e+faFbNzh+HIoXV1myRKV/f5XUqc2vIeVFRd6TyVtSIp2iKBb7fxYQEICrqyvu7u54eXmZei08PDzo1asXnp6edOrUKdE58fHxtGzZktOnT+Pr60uOhNFtFy5coHLlyjRu3BhPT09Te0VRaNOmDUFBQezevRsHBwcAYmNjqVevHqlTp2b9+vVYWVkBsGzZMrp27crChQvp0aNHoutMnjzZ1INz//59AgMDmTt3LlmyZEmxb6D3wWg0EhISQurUqbGzszOvFkkg9/LdGAx6FizIz4oVzuZVAFhZGalQIYjeve9SsKDKC8bxi5eIiIggPj6edOnSSQ/1O9Dr9SxYsIDAwEA2b96MjY2NeZOPVooMLC1atODMmTPJElicnJxYv369aWuBVwUWLy8vU8/L1atXOXr0KEuXLiVLliymdiLp4uPjuXv3LpkyZSJVqlTm1SIJ5F6+C5ULF+z46qvcRETYmlcCUKBANIsW3SFjxjgURX7oJsWjR4+IiYkhe/bsEljegU6nY/bs2Vy7do0tW7ZIYHkTRqOR4OBgLl++TGRkpOl4jhw5cHFxIU2aNInav0hwcDDVq1fHxcWFjRs3YmurfUhMmTKFMWPGsHnzZtzd3ROdo6oqQ4cOZenSpRw8eJCCBQsCcPr0aapVq0bXrl2ZOXOmqf2rAkv9+vV5+PAhe/fuxdlZ+43qaVhaunQpnTt3Nl3H3I4dO/j+++/x8fExhSbxdqKjozl06BAlS5Ykc+bM5tUiCeRevptVq6BzZ3jZpMds2bRxLIUKmdeI1/H39yckJISKFStKYHlHY8eO5ciRIykusCT7GJbY2FgOHjxIz549qVatGg0bNqRt27a0bduWli1b4ubmRuPGjZk1axa3b982Pz0RZ2dnChQowPnz5wkKCoKEsSVHjx4lffr0uLi4mI7Fxsaiqio6nY78+fPz+PFjzp07Z7rWuXPniI6Opnz58qZjJHSf6XQ6dDpdog0araysyJ07N7dv3040uPfkyZM4OTlRtGhR07EXeXYMi3g3cg+Tz9N7Kff07bxulo+1NaSgnw/vlbw3xeu85tsv6dq1a0ebNm34559/qFevHtOmTWPDhg1s2LCBJUuW8M0336CqKmPHjqVu3bps377d/BImNjY21K9fn+DgYH799VcuXbrEsmXL2LNnD9WqVTMNxF2/fj0dO3Y0hZry5cuTPn16ZsyYwfHjxzl48CDTp08nd+7cuLq6AhAXF4e3tzfr16/nzp07PHz4kPXr17Nx40aCg4OxtramWbNmREdHM3fuXPz9/Vm+fDnr1q3Dzc2NIkWKJPpahRApm6Jo5VWhpUgRbfqyECL5veJb7+1EREQwZcoUvL29mT17Nr169aJWrVrUqlWLtm3bMmHCBLZt28bGjRupWbMmfn5+5pcw0el0tGvXjp49e+Lp6UmVKlX4/vvvKVu2LKNHjzYNGrxz5w5HjhwhOjoagGLFijFx4kRu3LhBvXr1aNy4Mffv3+fnn3/ms88+g4TVc0eOHEnXrl05e/Yst27domfPnnTv3p3Tp08DUKtWLfr27cvatWupVq0affr0IUeOHIwcOVKe/wvxidm3D4YMgZcs/0SmTNC/P8hHgxD/jWQfwxIZGfnGP8xVVSU6Ovq167NER0ezf/9+Lly4QJYsWahTpw6ZMmUy1d+5c4c7d+6Ypi6TMDbFz8+PQ4cOER8fj6urK6VKlTI9G42Pj+fs2bOJxteQEJKKFi1KhgwZAIiJieH48eOcOHGCtGnT4ubmZgo9r7J161YGDBiAt7e3qSdIvJ2oqCh8fX1l3EUyeHovS5QoIYPB35Cqagu/BQRo41cyZoTixWHjRpVbtxQcHHQUL65n0CCoX//VPTDi5fz8/AgNDaVChQro5Sa+k5Q6hiXZA8tTsbGx3L59O9Fy97a2tuTMmdMUKlIyCSzJRwJL8pHAkjQHDsC2bTBgAGTODHfuaD0o6dLB7dsKO3ZcIGvWNFSv/hlp05qfLZJCAkvySamBJdnfFTExMaxbt45WrVpRtWpVqlSpYvqzcuXKNG/enNWrV5sGpQohhKWJjoYFC6BDB5g6VZsdBJAzJ6RPr/W45M4NpUqFUaRIlIQVId6DZA8sK1asoFu3bpw4cQJXV1e+/fZbfvrpJ3744QeqV6+On58fvXv3TrQRoRBCWIo7d7Qele++g8BAaNAA3NzMW2kDcI1Gnay3IsR7kuyBZcGCBeTPn5/NmzezatUqxo4dS+/evRk1ahReXl5s376d/Pnzs3DhQtMgWSGE+NBUFf7+G9q3h99+0x79TJgAnp5QooR5ayHE+5bsgeXy5cu4u7tTtmzZROuakLC2SdGiRWnYsCGRkZHyWEgIYTGMRli9WgstJUtqGxgOHgwJa0YKIT6wZA8shQoVYuPGjRw5coQ4s/l/MTExnD59mo0bN5I5c2bTyrVCCPGhPHgAjx9ri7716wcDB2rBpUEDSNhCTAhhAZI9sAwZMoSoqCiaNm1KixYt6N69Oz///DNff/01TZo0oV69ety+fZvu3bvL5mtCiPfm6cJvTz19BNSyJXzzDYSGakvq//yzLK0vhCVK9sDStGlTVqxYQc2aNbl06RKbN282rXZ75coVKleuzIoVK2jWrJn5qUIIkezu3oVffoGOHbXxKePHw7FjsHAhtGsHBw/ClSvw6JHWXraxEcIyJXtg0el0VK1aFU9PT/bv34+vry9///03hw4d4sCBA3h5eVGnTh2ZZy+E+M/5+UHbttpYlFWrYM0aGDtWW+Dtu+8gKAjatIHlyyFhazIhhIVK9tTw4MEDAKytrcmWLRsFCxY0lRw5ciRaxCYmJobg4GCZ3iyESHbx8TBjBhw6ZF6jjVnR67Xw8ttv2iMg6VkRwrIle2Bp2rQpv/32G5cvXyY+Pt68GoAnT56wZ88eOnTowG+//WZeLYQQ7+zqVdi61fzov6ytoUYNZNE3IT4SyR5YcufOzbhx46hRowYdOnRg3LhxrF69mm3btjF37lz69u2Lu7s7bdq04fHjx7i5uZn29xFCiOQSGQkREeZH/xUTow20FUJ8HJI9sCxbtoyNGzfSrl07zp8/z4wZM+jevTtt27Zl0KBBbN68maxZszJr1iz+/PNPqlWrZn4JIYR4Z87O2jL6L5MmDWTNan5UCGGpkj2w2NjYUKFCBaZMmcK+ffvw9vZm06ZNbNiwgW3btnHgwAH+/PNPOnToYNoRWQghklNIiLZC7ePH5jX/qlwZChc2PyqEsFTJHlielTlzZsqUKUOtWrWoVasWbm5uuLi4EBcXR0xMjAy2FUIkK1WFf/7RpjD/73/a30uV0gbYPuvzz2HoUHB0THxcCGG5/tPA8iKqqvLzzz/Tv39/YmJizKuFEOKtKQps2wY7dmi7Kc+erf194ULo3FnbfXnWLNi0CSpWND9bCGHJ3ntg0el0XL9+nRMnTsheQkKIZBEUpO2ybGUFPXpovSerVkHXrpAtG3TvDkuWaPsD9eunhRkhxMflvQcWAL1ej5Vs0iGEeEdPl9dv1Qq++krbFyhnTpg4ESpUSNxWp5O1VoT4mCV7YBk3bhxDhw5lxYoV/PPPP9y6dYuoqKhEbWQasxDiXUVEwLRp2kq1vr4QGPjqQbZCiI9bsgeWY8eOMXfuXLp06YKbmxvVqlWjYcOGfPvtt3h4ePD333/z6NEjCS1CiLeiqtreP337wvDhcO+etvz+6tVQoIB5ayFESpHsgWXJkiX4+PiwePFi+vbtyxdffMGDBw/4448/6Nu3L7Vr12bHjh3mpwkhxBu5dk3btHD5ckiXDiZM0JbXL1r0+dlAQoiUI9m/ve3t7SlTpgydO3dmypQprFq1in379rF//35WrlzJkCFDaNGiBZ9//rlsgCiEeCnzVQ8MBu1YxoxQrBi4umoDawcP1haBE0KkbMmeGLp27UrLli3x8PDgzJkzxMbGkiFDBkqWLEnLli0ZM2YMXl5ezJw5EwcHB/PTXyo8PJz79+/zOAkPqWNjY7l//z4PHjzAYDCYVwMQHR3N/fv3efjwIYqimFcDEBIS8trrCCHeXXQ07NoFP/wAXbpoU5CvX4fjx7VHQBcvanv/zJoF69ZpewHJ7z1CfBqS/Vu9Vq1ahIeHM3LkSNzd3WnYsCGTJ0/m0KFDprBhbW2No6PjG41jMRgMrFy5kkaNGlG1alVq1KjB//73v9cGF39/f7766iuqVq1K1apV+frrr7l48WKiNmfPnqVt27ZUrVqV6tWr8+OPP3Lr1i1TfVRUFNOnT6dWrVpUr16dqlWr0rt3b/z8/BJdRwjx7kJDYdAgaNkSZs7UHvl8/z3UqQMtWsDvv2vrqsTHaz0qWbKYX0EIkZIle2Dp27cvmzdvZseOHUyYMAFnZ2fmzZtHw4YNqVWrFkOGDMHb25t79+69tEfjWYcPH6Zfv348fvyYbt26UbhwYcaPH8+iRYteulLuo0eP+Pbbb9m0aRMNGjSgSZMmbNmyhSFDhhAZGQnAjRs36NmzJ4cPH6Z9+/bUr1+fRYsWMXbsWKKjowHYvHkzw4cPx87Oju+//55GjRqxadMm+vbty8OHD81eVQjxtlQVVqzQxqKYb1h45Qrcvg1VqkC3btpaK0KIT0+yBxYAR0dHypQpw9dff83KlSvx9vZm2rRplC5dmk2bNtGmTRvc3Nz4/vvvX/mD32g0snr1auLi4pg6dSpDhgxh7ty5lC9fHi8vr5f2suzbtw8fHx++//57pkyZwuTJk/nmm2/Ys2cPBw8eBGDjxo2cOHGCcePGMXr0aCZNmkTbtm1Zt26dqSfmzJkzODg4MHPmTL7++mumTJlC48aNOXbsWKKeGCHEu4mNhe3btZVqX0Sn09ZZqVBBHgEJ8an6z7/1bWxsKFCgAN27d2fRokX4+Pjg4eFBnTp1CAgIICQkxPwUk+joaE6cOEHp0qWpXLkyABkyZKBWrVpcu3bthaFBVVXOnTuHvb09DRo0MC1QV7VqVQBOnToFCY+DMmXKRO3atQGwsrKifv36xMTE4O/vDwkDiOPi4kyhKjo6moiICBwcHF47/ubp677JYy/xanIPk8/Te2lp9/TRI7h82fzov1T11fUfgk6ns7j7+DGz1PemsBw6RVFe/FwlGcTHx/PgwQPi4uIgYYXbTJkymX7Yh4WFYW9vj62trdmZmmvXrlGpUiWqV6+Ol5eX6Y3s4eFBnz598PLyonXr1onOMRgMdOzYEV9fX3x9fcmZMycAFy9epFKlSjRr1owFCxbQunVrbt++zd69e0mdOjUAPj4+1KlThxEjRjB27FguX75Mt27dCAwMpGHDhly/fp1//vmHfv36MXjw4ERft6IorF692tQ7c/nyZQ4fPoynpydZ5GH7O4mPj+fOnTtkzpyZVKlSmVeLJLDUexkdraNnz5ycOuVkXpVAZfTou7RtG4aqWsYPNFVVuXv3Lvb29mTMmNG8WiTRw4cPiYmJIUeOHBJa3oFOp2P27NlcvXqVLVu2YGNjY97ko/WfBJbAwEA2b97Mzp07OX/+vGlMiF6vx8XFhapVq1KnTh3Kly//0rACEBAQgKurK7Vq1WLlypWmN/HChQvp3bs3np6edOrUKdE5cXFxNGrUCH9/f3x9fcmRIwcAFy5coFKlSjRt2pSZM2dSrVo1bG1t8fHxwclJ+5D09vambt26DB8+nHHjxhEQEEDPnj05ffo0n3/+OUFBQTx58oRhw4bRr1+/RG8ERVGYNGkShw4dAuDBgwcEBQUxb948MmfO/NLxNuL1jEYjoaGhpE6d+pXvF/F6lnYvdTqt92TvXjvmzi1IUNCLA0uuXAZ++cWf3LnDUBTL+WEWGhqKjY2NRYW/j1VkZCTx8fGkS5fOvEokgV6vZ+HChaafwxJYXmHSpEmsXr2amzdvUrhwYYoUKUK+fPkgIUGfP3+eCxcuEBMTg7u7O6NGjaJ48eLmlwHg9u3bVK1alXLlyrFq1SrTui2//fYb/fr1Y+XKlbRq1SrROUajkV69erFr164X9rC0adOG2bNn06ZNG65evcq+fftInz49PNPDMnLkSEaNGkWvXr1YvXo1Hh4eNGzYkIcPHzJ48GB27drF9u3b+fLLL02vq6oqiqKYgsn27dsZNGgQe/bsMYUm8Xaio6M5fPgwJUqUIFOmTObVIgme3svixYuTOXNm8+r3Sq/XHgXNmwdz5uh48EBHlizw8CE8uy9qhgwwcaLKV18l60fVO1NVlaNHj5I+fXoKFSpkXi2S6NKlS4SEhFChQgXpYXlH48aN4+jRoymuhyXZx7DMmTOHSpUqsW7dOv766y8WLVrEiBEjGDFiBNOnT2fLli34+PgwevRo/Pz8WLNmjfklTDJmzEiuXLm4cuUK4eHhpuN+fn6kSpWKAi9Yh9vKyop8+fLx8OFDrly5Yjp+9+5dYmJiKFasGDY2NmTJkoVbt25x+/ZtU5tbt26h0+koVKgQqqpy5coVPv/8cxo3bkyqVKn47LPPaNSoEU+ePOH8+fOm80johrOyssLa2hpra+tEY1j0er2UdyjPPts2r5OStGIp9xL0nD+vp2dPPWPG6AkN1fHVV9oaLHPnQuvW0Lw59OkDa9ZAt24f9ut9UbGUe5lSytN7Kffz3UtKDXzJHlie9qrUqFGDNGnSPHfj7O3tKVy4MN9//z07d+6ka9euieqfZWtrS6lSpbh06RL79+9HVVWuXr2Kj48P+fPnJ3fCHvH+/v5s2rSJiIT5kF9++SU6nY5NmzYRGxtLZGSkqYemdOnSAFSpUoXIyEh27dpl6iZfvXo1GTJkoEyZMgCkSpWK69evc+nSJQBiYmI4c+YMVlZWZMiQwfR1vog8AhLi5W7d0qYob9wIWbNqmxjOmgUlSsDXX4OXl7Y30Ny54OYG1tbmVxBCfGqSPbAEBwezffv2N1oRNnv27Li4uJgfNrGysqJLly5kz56d3r1706VLF1q2bMnNmzfp06eP6VHO5s2b6dGjB8HBwQCUL1+epk2bsnDhQtq2bUurVq3w8vKiXbt2pjBSu3ZtqlWrxsSJE+nUqRPt27dn37599OjRg7x586LX62nevDmPHz+mXbt29OnThw4dOjBv3jxq1qxJtWrVEn2tQojXi4vTxqxkzgyVK0PNmrByJfTrB89OvNPrZb0VIURiyR5Ynj4aSS5ly5bljz/+oFGjRly6dIn8+fOzYMECunTpYuq9KV68OG3btjXN9nF0dOTnn39mwIABhISEEB8fz+jRo5k8eTKOjo6Q8Ljp999/p1evXty8eROdTmda68XGxgadTkfbtm1ZsmQJ5cuX5/jx44SFhTFixAgWLlz42h4WIURix49Djx5w5Ag4OsLYsVovimR/IcSbSPZBt8WLFydnzpysX7/eFA6SS1hYGI6OjlgnoX84KioKnU73ynVTIiIisLGxwc7OzrwKEh7vhIeHY2tri729vXn1C23dupUBAwbg7e1tGvgr3k5UVBS+vr6ULFnygw8U/dg9vZclSpR4b9PtY2Jg7VotoFy/rj0KWrDg43/MoygKR44cwdnZmcKFC5tXiyTy8/MjNDSUChUqoJfVAd/J2LFjOXLkiAy6fR1ra2sOHz5Mq1atGDJkCIsXL+bAgQPcvHmTqKgo8+ZJkiZNmiSFFRJ6W14VVgCcnJxeGlZI6DVKkybNG4cVIYTmzh1tI8NevbSw0qgRfPutPO4RQiRdsgcWEuaBX7lyhXnz5tGzZ0/q1q1L1apVadCgAf369WPBggWcOHEC47NzF4UQKcqhQ9CundabYmsLI0bA4sXw+efa+itCCJEUyR5YDAYDFStWxMfHBx8fH5YvX87QoUOpWLEijx8/xsvLi379+vHjjz+aFpQTQnycAgNhxw5tNs/WrfDgwb91/v5w9CgULQoeHjBmjLamihBCvI1kDyyqqmJtbU22bNkoV64c7dq1Y/To0axYsYK9e/dy4MABVq1aRffu3ZP8eEcIYTn+/huaNNHWS+nfH1q10v6+c6c2E6hNG21RuHXrtDr5dhdCvItkDyypU6dGr9ejmG27am1tjbOzM8WLF6dFixZ06dJFxoQI8ZE6e1ZbL+XECW2nZRJ2XD5yBL7/Hi5dAicnbVaQLAIrhEgOyR5YFi5cyJAhQ2SUtxAplKJoa6ckbGr+nIAA+PNP86NCCPFukj1VZM6cGVdX1zcKLI8fP+bGjRvmh4UQFsxggDNnzI8mJt/WQojk9vpUkUS1atVi/PjxnDp1isjISPNqDAYD9+7dY8WKFTRt2hQPDw/zJkIIC2ZlBQlrNL7UK1YJEEKIt5LsgaVevXr88ccf1K5dm/r16/Pjjz8ybtw4xo0bx6hRo2jTpg01atSgf//+pEqViqZNm5pfQghhwSIjoUaNl6+lotfDMxuZCyFEskj2wDJ16lS2b9/ON998g6IorF69mokTJ/K///2P+fPnc+XKFVxdXfHy8mL16tWUK1fO/BJCCAukKPDXX9qsIIDatc1baFq1gvr1zY8KIcS7SfbAAlCgQAHGjh3Ljh07OHjwIDt37mTnzp3s27ePvXv34uHhQd26dUmTJo35qUIIC3T/PowfDx07go8PHDgAM2fC4MFQsiTky6ettzJ0KMyYAc7O5lcQQoh3858ElqecnJxwcXHBzc2NWrVqUbx4cZydnbl//z7h4eGoarJuYySESGaqCv/8A507a4ElKkpbZn/sWMifHyZNgj17YP9+Lcj89BO8py2KhBCfmP80sLyIqqpMnDiRfv36ERMTY14thLAQqqpNX27eHHbtAhcXmDNH60EpUEBro9NBxoyQPTtkzixL7gsh/jvvPbDodDoePXrEuXPnZC8hISyYTqcNoA0Ph4YNYf16badlmQEkhPgQkj2wREdHv/ZRj06nw+plUwyEEB9MfDxs3Ahr1mjrrTRrpi0Ct2SJNlZFCCE+lGQPLH379uWrr75i5syZ7Nq1iwsXLhASEpKoN0Un/cZCWJx792D4cOjUCfr1g9Ontd6UWrVk00IhxIeX7IElMjKSbdu2MXjwYBo3bkzVqlVxc3OjY8eO/PTTT2zcuJFHjx5JaBHiA3jasfnst5+iaANn27SBadO0sSvt20Pu3P+2EUKIDy3ZA8uiRYs4cOAAGzZsYMKECTRv3py0adPy999/89NPP9G6dWt27NhhfpoQ4j/0dLbP//5nyy+/FGXIkDSsWgVBQTB9uhZQDhzQHvssXgxTpmiDaIUQwlIke2BJnTo1hQoVon79+gwcOBAPDw927NjBgQMH2L59OzNnzqRXr15UrFjxjfYbEkK8G0WBdeu02T4TJ1qza1d2PD0d6NZNCyo//wxPnkC7dtrYldatwdbW/CpCCPFhvZfE4OjoSN68ealevTp9+vRh3rx5TJ06FQcHB/OmQohkdvUqDBkCd+8mPh4bCwcPaou+TZ8OCxdCwYKJ2wghhKV4L4HlRezs7GQcixDvwcGDcPOm+VGNooCjI3TtCqlSmdcKIYTl+GCBRQjxfjx+rAWTl7l7FyIizI8KIYRl+SgCS1BQEPPmzWPChAnMmDEDPz+/1671Eh0dzfbt2/npp5/46aefWLduHdHR0YnahIWF8eeffzJhwgQmTpzIzp07MRgMidoYjUaOHj3K1KlTmTBhApMnT8bHx4f4+PhE7YSwRKoK9vavXoE2Sxatl0UIISyZxQeWwMBAOnfuzLBhw9i2bRtTp06lUaNG7N+/37ypSVxcHOPGjaNDhw6sXbuWFStW0KVLF6ZMmUJcXBwAERERfPfdd3z11Vds2rSJRYsW0a5dOxYtWoSS8OuooigsXLiQxo0bM2nSJLZt24aHhwdjxowhMjLS7FWFsEzXr2vB5UX0em1xOHkcJISwdBYdWFRV5c8//+TgwYNMnjyZXbt2sWbNGuLi4pgzZw6xsbHmpwBw7tw5Fi5cSP369dm1axd//fUXbm5uzJw5kwsXLgCwf/9+Vq1aRfv27dm9ezfbt2+nQIECTJkyhTt37gBw5swZxo8fT7Fixfjrr7/YvXs3+/btY/r06TjKr6TCgoWHaxsV6nTQqBGUK/f8NGVbW22WUJcur+6BEUIIS2DRgSUuLo6//voLFxcXWrVqRerUqalUqRK1a9fm0KFDpmBhbv/+/URGRtK+fXsyZ85Mrly5aN++PWFhYZw4cQKA3bt3Y2VlRZcuXUiXLh2FChWiU6dO3L59m9OnT6OqKps3byYiIoKRI0fi4uJCREQEOXLk4IsvvsD2NfM+Zcp28pHB2Ulz4oQWRCZNgpgYqFYNtm2DrVth6FAjFSs+oHXrWBYvhnnzIH168yuINyHvy+T19H7KfRUvo1MU5SWdxR9ecHAwVatWpUSJEqxZs8a0/9CcOXMYNGgQmzZtonbt2onOURSF7777jg0bNnDo0CE+++wzAE6fPk21atXo2rUrM2bMoHPnzpw8eZL9+/eTMWNGALy9valbty5jxoxh2LBhNGrUiBMnTtCoUSMOHz6MwWDA1dWVH3/8kRIlSiR6XVVVCQ4ONj0q2rt3L1OmTGHbtm3kyJHjtWNuxMvFxMRw8uRJChUqRAZZI/6F9HqIirJiwwZ7fv5Zx7VrULBgHJs2xZEzp9aDotNBdHQsR4+epEiRQmTN6ozR+PLHReLVVFXl9OnTpE2bFhcXF/NqkUTXrl3jyZMnlCpVSkLLO9DpdPz000+cPHmSLVu2YGNjY97ko2XRgSUgIABXV1fc3d3x8vIyvYk9PDzo1asXnp6edOrUKdE58fHxNGrUCD8/P3x9fcmRIwcAFy5coHLlyjRp0oQ5c+ZQu3ZtDAYDPj4+ODk5wTOBZfjw4YwePZp69eqxZ88eXFxcaNu2LTExMfzxxx/kzZuXDRs2kC1bNtPrKorCt99+y86dOwGIiooCYNq0aWTKlEkCyztQVZWYmBhsbW1l08wX0OkgKMgeL69C+PhkIj4eypd/SNu2ARQtGpXocY/cy+QVExODlZVVivqh8KHEx8djNBqxt7c3rxJJYGVlxZIlS3j48CGbN29OUe9Niw4sV65cwdXVlZo1a74wsCxfvpz27dsnOic+Pp7WrVtz8uTJRIHl4sWLVKpUiSZNmvDbb7/RtGlTHj16xN69e02BxcfHhzp16jBs2DDGjBlDvXr12Lt3L0uXLqVDhw4ATJgwgTFjxrBixQratm1rel1VVbl48SIPHjwA4MiRI3h4eLBhwwayZ89uaieSLjY2lvPnz+Pi4kJ6eX7xnFOnoG9fe65eTYWzs44+fVS6dw8jbdo4FCXxb6pyL5PP0+/51KlTk1s2Xnpnt27dIjw8nKJFi0oPyzvQ6XT8/PPPnD17NsX1sKAoimqp5fHjx2qpUqVUd3d3NTo62nT8p59+UlOlSqX6+vo+d47RaFSHDh2qpkmTRj1x4oTp+N9//606Ojqqo0aNUhVFUTt37qzmzp1bvXnzpqnN1q1bVWtra/XXX39VDQaD2qBBAzVTpkyqv7+/qc22bdtUW1tbdcGCBc+99rNl27ZtaoECBdTbt28/VyclaSUyMlLdtWuXGhwc/Fzdp1wMBu3PK1cU9fPPFbVyZUXdtevf4y8qci+TrxiNRvXQoUPqxYsXn6uTkvRy8eJF9dChQ6rRaHyuTkrSyujRo9XatWursbGxz9V9zMWiR4Y6OTlRokQJzp8/bxpgGx8fz+HDh8mWLZtpfEpcXBwREREoioJOp6NQoUKEh4dz6NAh07WOHTtGTEwMxYsXByBfvnwEBQVx9OhRU5v9+/djbW3NF198gU6no2zZsoSGhnL9+nVTm9u3b2MwGF47S8hoNELCb2Hi3cg9TMxohB07YOhQCAkBFxf44w9YvRpq1dLGs7zM03sp9/Tdqaoq9zEZyXtTvM4rPto+PGtra1q0aEFoaChjxozhwIEDTJ06FW9vb5o1a0bmhHmaq1evpmXLlgQGBgLg5uZGgQIFmDt3Llu3bmXNmjXMnTuXggULUrFiRQAaNWpE+vTpGTlyJGvWrGHRokUsXbqUChUqULx4cXQ6HY0aNSJDhgyMGTOG7du3s3r1aqZNm0aRIkWoXLlyoq9ViOSkqnDnDuzeDfv2QcKTRkJCYMIE6NgRfvkF1q/X2hYvDs8MqRJCiBTHogMLgLu7O8OGDePw4cN06NCBOXPm0KJFC/r27WsaNPj48WOuXLliWhQuV65cTJ48GScnJ77++mu+//57smXLxqxZs8iZMycAJUqUYMKECVhbW/Ptt98ycuRIvvjiC6ZOnUq6dOkAKFWqFFOnTiUiIoKePXvy3Xff4eDgwK+//irPrMV/JiQEJk7UekuaNNHWUWnUCH76SQsq48dra6x07AiuruZnCyFEymTRg26fUlWVGzduEBoaip2dHfny5cPOzs5Uf//+fe7fv0+BAgWeO3737l10Oh2fffbZCwcZ3r17l/v372NlZYWLi4tpAO5TasJ05eDgYACyZMnyRoNot27dyoABA/D29jaFJPF2oqKi8PX1pWTJkqZetZTKYICRI7Xek5ft/5M7N4weDW3bJn1J/af3skSJEmTJksW8WiSBoigcOXIEZ2dnChcubF4tksjPz4/Q0FAqVKgg61i9o7Fjx3LkyJEUN+j2o3hX6HQ68ubNS+nSpSlatGiiUAKQOXNmihcv/sLjpUuXplSpUi8MKwA5cuSgdOnSlCxZ8rmwQsJrZ8uWjdKlS1O6dOk3CitCvK1r12DFipeHlYwZYfFi6N496WFFCCE+Zh9FYBHiU3HmDNy7Z340sUyZzI8IIUTKJ4FFCAtib//qWT5PV6wVQohPzSs+GoUQ71NsLAQGvjqQFC0KefKYHxVCiJRPAosQFuDqVfjuOxg4UAsuL5IqlbazcqpU5jVCCJHySWARwgLs2AELF2q9K4MHw//+ByVKgJMTpE0L5crBzJnaLsyv6oERQoiUSgKLEB9IUJDWswLQvDl88w0sXaqFlREjYNcu2LZNCzPbt2szg2xtza8ihBCfBgksQrxnBoMWQpo310JIUBBkz671oDRvDk+XTciSBapUgYoVIUMG86sIIcSnRQKLEO9RYKC2MFyHDnD0KMTEwOPHWt2rZgcJIcSnTj4ihXgPYmO1xzqtWsGUKVovy7ffwpo1UKyYeWshhBDmJLAI8R5cvQp9+sDhw9pg2mXLYOpUSNhwXAghxGtIYBEiGTx5An5+cOEC3L+vHTMYtB2XFQXy5oXWraFrV1i9Gpo2/XesihBCiNeTwCLEOzAaYdUqbTdlNzeoXh1q19Zm+vz0EzRoAEeOgIODduy330D2yRNCiKSTwCLEW1JV+PNPbTry339rPSuPHsHZszBmDIwbBwEBcP681t7eXqYlCyHE25LAIsRbCguDuXMhJMS8RmNtDePHazOChBBCvBsJLEK8peBgrQflZVQVChSQpfSFECI5SGAR4i1ZWb167RRV1QbcCiGEeHev+LgVQrzKw4dgZ2d+9F9Zs2q7KwshhHh3EliESKLwcJg/XxubcvOmee2/unaF/PnNjwohhHgbEliEeEOqCqdPQ48e2iq1N29qe/9MnqytVmtnpz0mypVL27zwhx+0gbdCCCHenQQWId7Qli1aQFm7Vtus8NdfYfFiGDwYdu6EDRtg3TrYvVub0iwbFgohRPKRwCLEa6iq9qeDA0REaAvDrV+v9bKkSaPV5cgBdetC48ZQsOCrB+MKIYRIuo/iY1VRFK5fv85ff/3FmTNniI2NNW/yQg8fPmTfvn38/fffhIaGmlcDEBQUxJ49ezh69CgRERHm1SYGg4Hbt29z69atN3598XGLjYXly2HOHIiP11ayXb1a2weobFnz1kIIIf5LFh9YYmJimD59OrVq1aJVq1bUqVOHvn37EhwcbN7URFVVdu/eTf369WncuDGNGzemadOmHDlyxNRGURRWrVqFu7s7zZo1o0GDBrRv3x5/f/9E13pq+/bt1KxZk7p16760jUg5Ll+G/v2hZ09t8Tc/P208ipsbZM5s3loIIcR/zeIDy6ZNmxg9ejQlSpRgzZo19OjRAy8vLyZNmoTBYDBvDsC9e/cYMmQIISEhzJgxg19//ZXLly/z7bffmoJOQEAAQ4YMwd7eHg8PD0aNGsWhQ4cYNGgQ4eHhia539+5dxo8fz5UrV7h9+zZxcXGJ6kXKERMDXl7aWJXff9ce+fTvD7lzm7cUQgjxPll0YImPj2fdunU4OTkxceJE6taty4gRI6hSpQqbNm0iKCjI/BQA9u3bx9mzZ+nfvz/du3ena9eu9O/fn1OnTpl6WbZs2UJgYCDDhw+nbdu2fPvtt/Ts2ZN9+/Zx8eJF07WMRiMLFizg8ePHVK5c+ZlXER+r+Hhthk9AADx48O/xBw/gu++0XpULF6BGDe0R0MiRkC7ds1cQQgjxvll0YImOjub69esUK1aMvHnzAuDg4EDlypV58OABN27cMD8FVVW5cOECadOmxc3NzXS8Zs2aODg4cD5hJ7qLFy+SJUsWSpcuDYBOp8PV1ZXY2FhOnDhhOu/AgQN4eHgwcOBAypQpg/KGS5fqE0Zd6nQ68yqRRMl5D8+fV+nWTXu0U60a1KkDEydqg2ljYmDfPrCxgUGDtF2Yq1dPWQNon97L5Lynnyq5h8lL3pvidXSKoiTMgbA8V69epVKlSri5ueHl5WV6I3t4eNCrVy+WLVtGx44dE51jMBho164dx44dw9fXlxw5ckBCQKlUqRJNmzZl3rx5NGzYkLCwMHx8fEidOjUAPj4+1KlTh2HDhjF+/HgePHhAixYtyJAhA3/88QcjRozAw8OD/fv3U65cuUSvqygKixYt4vTp0wDcvHmTs2fPsmjRIrJkyYL6dKqJSDKDwUBwcDAZMmTAwcHBvPqN6PUQGOjEyJF5OHHCKlGdlRX06hVB9+7X2bnTGjBSt64RG5uUt7S+0WgkKCjone6l+Ne9e/ews7MjnXTBvbPQ0FBiY2PJkiWLeZVIAr1ez9y5c7lx4wZbtmzBxsbGvMlHy6J/dzQajS8cp/L0h/+LQoCqqkRGRpofRlVVUzEYDISHh6PT6V6a5o1GI3PmzOHq1auMGDECJycnU3vrl6wGFhERwePHj3n8+DHh4eGoqkp8fDxxcXHEx8dLeYfy9N/N/PibltjYOJYuteHEieff8kYjLFliyz//QN26kdStG4OixBMb+/x1UkJ513spRStxcXEoioLRaHyuTkrSi9FoRFEU+bx8xxIXF4fRaDT/mEsRLLqH5e7du1SpUoWyZcuyevVq02OW+fPn8/3337N+/XoaNGiQ6BxFURg0aBArV67k77//xsXFBYBz585RpUoV2rdvz5w5c+jUqRPnzp1j3759ODs7A7B7924aNGjAhAkT6NKlC19++SVZs2blq6++Qq/X4+XlxYEDBxg6dCi1a9emUqVKiV772QC1bds2BgwYgLe3t6mXR7yd6OhofH19KVGiBJnfcopOVBTUr6/j4EHzmn/99BMMG6aa1l1JiZLjXgqNqqocOXIEZ2dnChUqZF4tksjf35/Q0FAqVKjw0l8kxZsZN24cR44ckR6W9ylDhgzkz5+fixcv8vDhQ0j4kDhx4gRp06Yl/ws2atHr9WTOnJkHDx4kmn4cEBBAZGQkJUqUQK/Xky5dOm7evMnNZzaDuXDhAqqqUqxYMQwGAw4ODvj7+zNw4EB+/PFHDh48SHx8PNOnT2fNmjWm85562gNj/s327HEpSS/JcR+jo3U8eZLon+U52jI8z5+bksqzzOukJK3IvUzeIvcz+UpKZdGBxc7Ojho1ahAQEMDvv/9OeHg4f/31F5s3b6ZcuXLkypULgB07dvD9999z//59ACpXroyDgwMLFy7k7t273Lt3j2XLluHs7MyXX34JgJubGzExMSxYsIBHjx5x+/ZtNm3aRI4cOShSpAiZMmVizZo1eHt74+Pjg4+PD82aNcPOzo758+czYMCARF+rsGzOzpAwvvqFbG2hYkXzo0IIISyFRQcWnU5HmzZt+PLLL5kwYQL16tWjc+fOODk5MWjQIBwdHQE4e/Ysy5cvJywsDIAvvviCQYMGsWfPHho0aEDdunXx8fGhZ8+elChRAoA6derQs2dPli1bRr169ahTpw6nTp3ixx9/JE+ePNja2lKsWDFKly5tKpkzZ0av11OkSBFyy8IcH4WYGG1vn+Bg+OoryJrVvIWmbl2oWtX8qBBCCEth0YEFIG/evHh5eTF69Gg+//xzunfvzpo1a6hWrZqpTaNGjViwYIFpdLmdnR2DBg3C09MTNzc3qlSpwqJFixg2bBhWVtoMkdSpUzNx4kR+++03KlasSJ06dVi5ciW9evUyjZUx16lTJxYtWsRnn31mXiUs0NPVaps311ar/eILmD1b21nZxgZ0Om1huGbNYPp0SJvW/ApCCCEshUUPuv2Ybd261TToNmfOnObVIgmioqLw9fWlZMmSbzRQNCZG2zV50iS4eFELJX36wKhR4OgId+7A6dMQGQk5c8Lnn4OTk/lVUqan97JEiRIyffQdKYpiGnRbuHBh82qRRH5+fqZBty/7pVG8mbFjx8qgWyEsmapqq9f266etVnvxIpQvD3/8ofWwJDxBJGdOaNgQ2rSBSpU+nbAihBAfMwksIkVZtw4WL4bUqWHIEPjzT2jUSHsEJIQQ4uMlgUV89Pz94fp1bUxK27ba45/Vq7Ul9+VpnBBCpAwSWITFs7YGKysVK6vEw63Cw2HOHKhfH/r2hcePIW9emDVL2wMoBS9HIIQQnxwJLMKi3bsHW7fasGaNC3/95cCdO9pYlZMnoVs3+OEHuHFDCycxMdo5CRPBhBBCpCASWITF2rsXmjSB9u1tWLAgH927p6ZhQ22qcsuWsH49ZMigDahdtgyyZze/ghBCiJRCAouwSJcuacHk2DGIi9OOxcXpOHsW5s2DW7egVi1YswZGjICMGc2vIIQQIiWRwCIsjqrChg3atOSXcXMDLy9tdVoZqyKEECmfBBZhcVQVzpwxP5pYpkzSqyKEEJ8SCSzC4uj1r18mX6cDRTE/KoQQIqWSwCIsSnw87N+vLZ3/MlZW8ihICCE+NRJYhEUJDIRvvtEG26ZN+3wo0emgaVNo3fr5OiGEECmXBBbxwcXHazsrGwza1OQOHaB7d9i4ESZMgAoVFLJmjaFsWQMTJsDcuZA+vflVhBBCpGQSWMQHdecODB0K9erBrl3anj8DB8KCBVCtGgwbBps2xTJ16glWrgxl2DB4gw2bhRBCpDASWMQHYTDAli3QogVMnw5378KVK1qdjU3i1WpTp1bJmjWKNGmM/x4UQgjxSZHAIt4rVYXbt7VelU6d4J9/oGhR+P136NnTvLVGVUFVdYAMWhFCiE+VBBbxXhmN8NNP8Ouv2t9799aW2O/QARwczFsLIYQQGgksIlmpqva4x2j29CYwECIjtUc97u7asvrLl2s7KxcsmLitEEIIYU4Ci0gWqqqtn9KzpzYupU0b+OUXCAiAFSugQQMtnBiN0Lgx/PknNGwI1tbmVxJCCCGeJ4FFvDNFgdWroW1bWLxYG0y7fj0MHgx168LXX2tL7R85ovWy2NhAmjTmVxFCCCFeTgKLeGeXL2s7Jt+7Z14DN25oAWXAAJgzR4KKEEKIt/PRBBZVVYmJicFgMJhXvVJsbCyxsbHmhxOJiYkhLi7O/LBJfHw8MTExKLJ5zQv5+sL16+ZH/5UnDwwZArlyyeq0Qggh3s5HEVjOnDlDnz59qFOnDu3atWPTpk2vDQ8PHz5k/PjxNGjQgMaNG/Prr78SERGRqM2tW7cYPHgwdevWpUWLFixcuJDIyEhICEj//PMP48aNo1mzZtSuXZuvvvqKnTt3YjQfUfqJe12GDAuD6Gjzo0IIIcSbs/jA4ufnR7du3Vi3bh05cuTA39+fHj16sG7dOlRVNW8OQHh4OIMHD2bSpEnY29sDMHz4cMaPH2/qbXnw4AF9+vRh/vz5ZMyYkZCQEPr378+sWbMwGo3Ex8czbtw45s+fj8FgIGPGjBw4cICOHTuydu1as1f8dCkKPH5sfjSxPHnA2dn8qBBCCPHmLDqwKIrC0qVLuXjxIjNmzGD58uWsXLmStGnTMn36dMLCwsxPAeDvv/9mxYoVdO/enTVr1rBmzRratm3LwoULOXv2LAD79+9n165dDBgwgJUrV7J27Vrc3NyYM2cOAQEBWFlZ0adPH3bt2sWmTZtYu3Ytq1atwsbGht9//52oqCjzl/3k3LunrakyY4Z5zb9sbKBRI3B0NK8RQggh3pxFB5aYmBgOHz5MgQIFqFevHnq9nuLFi9OkSRP8/f25deuW+SkAHD9+HL1eT+vWrXF0dCRt2rS0bduWmJgYfH19ISGwODg40KhRI2xsbMiWLRstW7bk3r17nD9/HisrKxo0aEDJkiWxs7PDysqKokWLkiNHDh48ePDKMS8AVglry+tS4KCNuDjYvBmaNYMxY7QeFnd3KF068RiVtGm1mUK9er3b2JWUeA8/lKf3Uu7pu9PpdHIfk5G8N8Xr6BRFefFzFQtw48YNqlSpQsWKFVm1apUpBCxcuJBvvvmG1atX07x580TnKIpCv3792LJlC4cOHSJ37twAXLhwgcqVK9OiRQsWLFhAu3bt8PPzY9++fWTIkAEAb29v6taty6hRoxg9enSi6wLs2bOH1q1b06xZMxYsWID1M4uIqKrKjRs3ePLkCQAHDx5k5syZbNmyhezZsz9zlY+XTqeiqjoOHtTTubMToaE68uaN4rvv4mjeXEdICPz1F5w8qe2mXK0a1Kih9bK8i5iYGM6cOUOBAgVwlmdL70TuZfJRFIVz586RJk0a8ubNa14tkuj69euEhYVRsmRJCS3vaNKkSZw+fZotW7Zg864fwBbEogNLQEAArq6uuLu74+XlZXoTL1y4kN69e+Pp6UmnTp0SnRMXF0ejRo3w9/fH19eXHDlyQEJgqVSpEs2aNWPGjBlUr14dGxsbfHx8cHJygmcCy/Dhwxk3blyi6166dIkWLVoQHR3Nn3/+SenSpRPVPw1KO3fuBCAqKgq9Xs+0adPIlCnTS8fbfAz0epWoKD2RkXoyZjTw6JENM2aUJF26WFq1ukKePDEYjTp0Om0lW6NR61HR6Z5f8fZtKIpCbGwstra2ptAq3o7cy+SjqiqxsbHo9XpsbW3Nq0USxcXFoSgKdnZ2EljegV6vZ8mSJTx69IjNmzdLYHlfrly5QqVKlXBzc2PlypWmN7GHhwe9e/dm+fLltGvXLtE5RqORbt26sX///kSB5eLFi1SqVIkmTZqwcOFCmjdvTmBgIHv37iVt2rQA+Pj4UKdOnecCy61bt/j666/x9/dn4cKFuLu7P/cNpaoq169fJzQ0FBJ6WGbPns3mzZs/2h6Wp/+LFy/CL7/oCQzU4+FhIFcuePLEDgcHA3Z2Rl4zYeudxcbGcubMGfLnzy+9Au9I7mXyUVXV1MOSJ08e82qRRDdu3CAsLIwSJUo89/kq3pxOp0uxPSwoiqJaagkNDVXLli2rVqhQQX3y5Inp+Lhx41QnJyf16NGjz52jKIo6evRo1cnJST127Jjp2IEDB1QHBwd13LhxqqIo6ldffaVmyJBBvXDhgqnNypUrVSsrK3XRokWmYzdu3FDr1Kmj5s6dW925c+dzr/Wysm3bNrVAgQLq7du3n6v7WEpYmKLOmqWoLi6KCoqaNaui7tr1fLv/ukRGRqq7du1Sg4ODn6uTkrQi9zL5itFoVA8dOqRevHjxuTopSS8XL15UDx06pBqNxufqpCStjB49Wq1du7YaGxv7XN3HXCx60G2qVKn4/PPP8fPz48yZM5Cwvsq2bdvImTOnaXzK3bt3+eeff4iJiQGgQIECREZG4u3tDQnd4Hv27EFRFL788ksAypUrR0hICIcOHYKE3zx3796Ng4MDxYoVQ1VVbt68Se/evTl+/Djz5s3D3d0dRVFQVfW1j3iertXyunaWyGiEEyega1f44Qe4dk0bVLtqFVSvbt76v/cx3kNL9fReyj19d2/yOSDenLw3xetYdGCxsrKiffv22NnZ8e233zJlyhR69+7NmTNn6Ny5M5kyZQJgzZo1tGjRgsDAQABq1KiBq6srU6dOZfz48YwePZpff/2V2rVrU65cOQBq1qxJoUKFmDBhAr/88gsDBw5k+fLltG7dmpIlS2IwGBgzZgw7d+5EURQWLVpE69atadOmDYMHD/7opzU/eaLN9Jk+XSt//fXv4m5Xr0KnTtp+QFmzwv/+p21gWLWqbFYohBDiw7DowAJQvXp15syZg5WVFdOmTePs2bMMHTqU/v37o9drX362bNkoW7YsdnZ2pr/Pnz+fSpUqsXDhQv744w8aNmzIzJkzTeNVXFxc+P333ylevDi//vor27Zto0uXLowZM8a02FyGDBmoVq0aJUqU4P79+wQFBREUFMTDhw9fu9KuJbt2Dbp0gdattT1+BgyAli2hf39tbZXs2cHVVZu2vGkTDB8OGTOaX0UIIYR4fyx60O2zHj9+zKNHj0iVKhVZs2Y1hRUAg8GAwWDA1tY20fGoqCiCg4PR6XRkz57dFGieFRkZSVBQELa2tmTPnt00VVlVVdOodXNPZwW8amDY1q1bGTBgAN7e3uTMmdO8+oOJidGCyaJF5jWa4cNh3DgID9d6UxImUH1QUVFR+Pr6UrJkSTJnzmxeLZLg6b0sUaIEWbJkMa8WSaAoCkeOHMHZ2ZnChQubV4sk8vPzIzQ0lAoVKiT6HBdJN3bsWI4cOZLiBt1+NO8KZ2dnChQoQPbs2Z97M1tbW2Nvb//ccUdHR1xcXMibN+8LwwoJ42Ty589P7ty5E62rotPpsLOzw8HB4bnyMU+7u3pVexT0MqtWwZ07kC6dZYQVIYQQgo8psIjkERDw6r1/goK0UCOEEEJYEgksn5gcOSBVKvOj/0qbFrJlMz8qhBBCfFgSWD4RigI3bkDevFCmjHntv0qXhs8+Mz8qhBBCfFgSWD4BDx5ouyrXqwc+PjBqFLxoYU4XFxg4UHZWFkIIYXkksKRg8fGwZQu0aqXtqnzlCly4AG5usHYt9OsHn38OpUppM4fWrtXqhBBCCEsjgSUFevr4Z9gwbQG4AwegaFGYM0frQQEoWxZmzoQ9e7QyY4b2OEgIIYSwRBJYUqD4eBg/Hn79Vfv711/Dhg3QqxekSfNvO50OMmQAZ+d/NzoUQgghLJEElhTEz08br2Jnp61SW78+LF8Os2dDgQLmrYUQQoiPhwSWFCAkRHvc06iRFk4MBmjYENas0f5MQQsdCiGE+ERJYPkIqCpcvgxeXuDhAYcPaxsVKoo2PqVtW21X5Zs3tbEr4eHaIx6Z7SOEECKlkMBi4SIjYcIEqFMHOnfWxqE0aKD99zffaDOAdu+GnDm1gbOzZ2vL6gshhBApiQQWC6aq2lTjCRO0npOn+zCGhsK6dbBgAUREaDsvr1+vBZi0aWUArRBCiJRHAosFCw3VdlWOjzev0VhZwciRMH++TEkWQgiRsklgsWBPnmg9Ky9jNGp7A9nbm9cIIYQQKYsEFgum17/68Y6VFTg4mB8VQgghUh4JLBbqzh1YuBAePTKv+VeePFCunPlRIYQQIuWRwGKhfH1h0iRt4G3atOa12mOgXr0gd27zGiGEECLlkcBiQfz94cgRLaS4uWmzfhYu1DYw/OoryJ9f61WpWRMWL9bq9fIvKIQQ4hMgP+4sQFgYzJ2rrUrbq5f2OChTJm1dlY4doXJlbSbQvn3aQnHr12uLxcn4FSGEEJ8KCSwfkKpqAaRjR/j+e7h2DbJmhbg4rf7Z3hNra8ieXVsgLnXqf48LIYQQnwIJLB9IUBCMGQOtW8PWrVoQmTQJVqyAfPnMWwshhBCfto8isMTExODt7Y2XlxcbNmzgwYMH5k2eo6oqZ86cwcvLi1WrVnHx4kVUVU3Uxmg0cubMGVatWsXatWu5fv16onqAuLg4jh49ipeXF+vXrycoKMi8yUvpdNrU4xe5elV75PPkiRZa1q2DIUMgY0bzlkIIIYSw+MDy+PFjfvjhB5o1a8agQYPo2rUrbdq04ezZs+ZNTRRFYdmyZTRs2JDvvvuO/v37U79+fZYtW2YKLQaDgYULF1K3bl1++OEHevXqRf369dm+fbvpOtHR0UyaNIn69eszaNAgunfvTuPGjTl48OAzr/ZiOp22CeHu3dpuyiQMqt22TVvwrXx5GD9e28xwyRIoU8b8CkIIIYR4yuIDy6ZNm/Dw8KBJkybs2rWLn3/+mcOHDzNjxgziX7Jmvb+/P6NGjSJDhgysW7eOrVu3kiNHDiZNmsStW7cA8PX1ZcSIERQtWpStW7eydu1aVFVl8uTJhCQkDG9vbyZPnkytWrX466+/WLx4Mbdv32b8+PFERESYvWpiej08eABffw3t2sHEidCiBXTrBkePgq2tNm6lY0cZPCuEEEK8jkUHlvj4eLZs2UK2bNkYM2YMxYoVo1u3btSuXZs9e/YQGBhofgoAPj4+3L17l4EDB1K1alUqVKhAjx49uHLlCvv37wdg3759xMTEMHLkSMqWLUvNmjVp164dR48e5eTJk6iqyrZt27C1tWXw4MEUL16c5s2b06JFC06cOMHVq1fNX9aMtkRtXJyOXbu0PX8uXYLPPwcnJ/O24lV0Oh26Vy35K97Y03sp9/PdyX1MXk/vpdxT8TI6RVESD+ywIA8ePKB69erkz5+fdevWYW1tDcCMGTMYPnw427dvp3r16onOUVWVESNG4OHhwYEDByhSpAgAJ06cwM3NjV69ejF16lS6du2Kr68vBw8eJEuWLABs3bqV5s2bM23aNPr27Uvt2rV58uQJe/bsIV26dAAsWbKEnj174unpSYcOHRK9bmRkJHEJU3z27NlFx46jMBg2ANkBbSry2LGQOfO/Oy+L14uJieHo0aMUK1aMjDLI5508vZdFixYlU6ZM5tUiCVRV5fjx46RLl44CBQqYV4skunz5MqGhoXzxxRcSWt7Rzz//zJkzZ9iyZQs2Njbm1R8tiw4sAQEBuLq64u7ujpeXl+lN7OHhQa9evVi2bBkdO3ZMdE58fDxt2rThxIkT+Pr6kiNHDgAuXrxIpUqVaNKkCfPmzaN+/fpERUXh4+ODU0KXh4+PD3Xq1GHYsGGMGTMGd3d3UqdOzfr167FKGD27bNkyunbtysKFC+nRo4fpdRVFYfDgwezZsweA8PAwrl8PBPIB2hsmZ07IkEGbzizenKIoREZG4uDgYAqt4u3IvUxekZGRWFtbY2dnZ14lkig2NhaDwUCqVKnMq0QSBQcHU7ZsWTZu3CiB5X0JCAigUqVK1KpV64WBxdPTk06dOiU6Jz4+nmbNmnHu3LlEgeXChQtUrlyZJk2aMHv2bNzd3VEU5bWBxcnJiQ0bNrw2sKiqyv79+01jZM6cOcPKlV4MGzYEZ2dnQOtVkbCSdA8fPuTnn3+mc+fOlChRwrxaJMGjR4+YPHmy3MtkYDQamTZtGvnz56d58+bm1SKJ1q1bx7Vr1/jxxx9Nn7fi7WzYsIGYmBg2b96cogILiqKolloePHigFi9eXK1fv74aGxtrOj516lTV1tZW3b59+3PnGI1GdcCAAWqWLFnUgIAA0/HTp0+radKkUQcPHqwajUa1Q4cOqouLi3r37l1Tmx07dqjW1tbq5MmT1fj4eLV69epqqVKl1MePH5vaeHh4qHq9XvXy8nrutZ8t27dvVwsWLKgGBgY+VyclaeX27dtq/vz51V27dj1XJyVp5c6dO2qBAgXUv/7667k6KUkrRqNRrVOnjjpmzJjn6qQkvYwZM0atW7fuc8elJL2MGTNGrV27dqKfmymhWPSgWycnJ3LmzMmFCxe4d+8eJHRp//PPP6RLl458CSusKYqC0WhEVVV0Oh358uXjwYMHHDt2zHStkydPEhkZSfHixdHpdOTOnZs7d+5w6dIlU5uzZ8+i1+spW7YsOp2OHDlycOvWLVOvCQk9J46OjhQqVMh07EUMBgOKomAwGMyrRBLJvUw+ci+Tz9N7qciAtGRhNBoxGo0vnf0p3pyiKM+tO5YSWHRgsbW1pXbt2ty5c4f58+dz+/Zt/vzzT3bt2oWrqyu5cuUCYPPmzfTs2dMUamrUqEH27Nn5/fffOXXqFCdPnmTOnDlkz56dChUqAFC/fn3s7e2ZP38+fn5+7N+/n8WLF1OsWDFKliyJXq+nSZMmhIeHM3v2bK5cucKmTZtYt24drq6uprD0Mvb29mTNmlW6NpOBlZUVWbNmxd7e3rxKJJHcy+SVMWNGUsteGckiderUZMqUSQbcJoPUqVOnyAkKFj2GhYTxCwMGDGDTpk2kS5eOiIgI8uXLx2+//Ubp0qUBmDp1KtOmTePQoUPky5cPRVGYP38+48aNQ6fTYWVlhV6vZ+LEiXTs2BG9Xk9cXBwTJkxg1qxZODg4YDAYSJcuHbNmzaJu3brodDrCw8MZOHAgK1euJE2aNERHR5MnTx5+++03ypUrZ/6lJhIZGcmjR4/Inj27DG58R/Hx8QQFBZExY0YcHR3Nq0USGAwGAgMD5V4mA1VVCQ4Oxs7OzjROTby9x48fExsbS9asWSW0vKOUei8tPrAAhIeHc+TIEU6fPk2ePHn48ssvyZkzp6n+6tWrXLt2DVdXV9MIc4PBwOnTpzl69Cg2NjZUrFiR4sWLo39mR8HY2FiOHz/OsWPHsLW1xd3dnYIFC5rqASIiIjh69CjHjx8nU6ZM1KpVi9y5cydqI4QQQoj/1kcRWIQQQgjxabPoMSwfs6ioKIKDg2UA2SsYDAYePXpEUFCQacG9F4mNjSU4OJioqCjzKpOYmBiCg4OJjY01r/rkxMXFERMT88LBoHFxcXIv31BcXBz37t0jLCzshQMYFUXhwYMHhIaGmleZGAwG7t27R3h4uHnVJ8NoNL72+/zZe/mi9y3PfF48fvz4hf8eKVVsbCyxsbEv/X9++h571XYxTz9Do6OjzatMoqOjCQ4Ofum/kSWQwJLM4uPjWbJkCQ0bNsTNzY02bdpw4MAB82afNIPBwLp16+jQoQM1a9akevXqNG/enD/++CPRD8n4+HjWrl1L48aNqV69Oo0aNcLT0zNRCIyKisLT05MmTZpQvXp1mjVrxpYtW176oZfSBQQE0LZtW9q2bcvNmzdNx1VVZd++fbRp04bq1avTsGFD5s6dy5MnT0xtFEVhw4YNNG3alOrVq9O0aVOWL1/+yg+5lCg6Opply5bRrFkz3NzccHd3p3///gQHB5vaHD9+nF69elGjRg1q167NuHHjEgUXVVXZu3cvnTt3xs3NjXr16jFz5sxP7l6ePn2aLl26JPo+37hxI0aj0dTmypUr9O7dmxo1alCrVi1+/PHHRO9dgFOnTpmuU7NmTQYNGpTo3yOlCQ4OZvHixXz33Xc0btyYXr16vTAYHz16lA4dOlC9enUaNGjA/PnzE32GqqrKX3/9RcuWLalevTpNmjRh0aJFiX5hMRqNrFy50vQ527JlS9atW2eZv2ybz3OW8vbFaDSqnp6eqpOTk1q9enV1zJgxqouLi5o3b1710KFDz7X/VEt4eLhapUoVtXjx4mqvXr3UgQMHqgULFlRTpUqlrl692tRu69atatq0adXy5curI0eOVMuVK6emTp1aXbFihaok3G8PDw/Vzs5OrVGjhjp8+HC1UKFCaubMmVVvb+/nXjell6ioKLVr164qoKZJk0Y9c+aMqe7EiRNqnjx51Ny5c6tDhw5VGzdurNra2qo//fSTajAYVEVR1J07d6oZM2ZUixYtqo4YMUJ1c3NTHR0d1aVLl6pGo/G510uJJT4+Xp0yZYrq4OCglihRQh04cKD69ddfqzVr1lT9/f1VRVHUGzduqGXKlFHTpEmj/vjjj2rTpk1VW1tbdeDAgaZ1L86ePavmyZNHzZo1qzpy5Ei1YcOGqr29vTpt2jTT/U7p5fbt22q5cuXUjBkzqt9//706ZswYtVChQmqmTJnUAwcOqErCWlvu7u5q6tSp1d69e6u9evVS06RJo7Zo0UINDw9XFUVR7927p7q6uqqZMmVSf/jhB7Vjx46qvb292qlTJzUiIuK5100JZefOnaqzs7OaO3du1cbGRs2XL58aFBSUqI2fn59apEgRNWfOnOro0aPVOnXqqI6OjoneYwcPHlSzZ8+u5suXTx02bJhasWJF1d7eXl28eLHpOuvXr1fTpUunlipVSh0xYoRatmxZNX369OratWuf+7o+dJHAkowlJCRErVChglq8eHH1+vXrqpKwGJ2Tk5Pap0+fT+aD6nUlJiZG3b17d6JF+w4dOqQ6OzurjRo1UmNiYtSYmBi1ZcuWapYsWdRz586piqKoFy5cUHPlyqW6u7urUVFRamhoqOrq6qrmz59fvXr1qqooirp//341TZo0avfu3dX4+PjnXjslF09PTzV79uxqgwYN1AwZMpgCi9FoVIcNG6ba2tqq69evV5WEHwLlypVTCxcurN69e1eNj49XO3TooKZPn1719fVVFUVRb968qRYsWFCtVq2a+uTJk+deLyWWixcvqtmyZVPr1KmT6AfEkydP1NjYWNVoNKqzZs1SdTqdOmXKFNVoNKphYWFqy5Yt1QwZMqhnz55VjUajOnbsWNXGxkZdvny5qiiKev/+fbVq1apqgQIF1Dt37jz3uimxbNy4UdXpdOr48eMTHbO2tlbHjRunKoqibtiwQbWyslJHjBihGgwG1WAwqCNGjFAdHR3VvXv3qoqiqCtWrFCtrKzUadOmqYqiqNHR0WqXLl1UJycn9ciRI8+9bkooDx8+VI8cOaJeuXJF/fLLL9V8+fKpwcHBidqMGjVKtbe3V9etW6cqiqIGBgaq5cuXVwsVKqQGBgaqBoNB7dKli5ouXTpTQLx48aLq4uKiVq9eXQ0PD1djY2PVJk2aqFmzZlVPnTqlKoqiHj16VM2WLZv65ZdfPvd1fegij4SS0fXr1/Hz86NGjRp89tlnALi6ulK4cGH+/vvvF3bpfYpsbW2pWbMm2bJlMx3LlSsXTk5OxMXFoaoqoaGhnDp1ikqVKpk2litQoADly5fH39/f9Ezcz88PNzc38uTJA0C5cuX44osvOHr0KCEhIabrp3QBAQFMmDCB5s2bU79+/USPxKKjozl06BCFCxemWrVqAGTKlAk3NzeuX7/OjRs3CAkJ4Z9//qFChQqm5QJy5MjBl19+mWjhxpRu7969PHr0iFatWhEQEMC6devw8/PDwcEBGxsbVFU1LVxZv359dDodTk5OuLu78/jxY06dOkV8fDz79u0jV65c1KhRAxLWa6lTpw43b97Ez8/P/GVTJHt7e6ytrYmLizO9H41GIzqdzjSb08/PDxsbG9zd3dHr9ej1etO2Kf/88w+qqnL48GHSpUtH7dq1AbCzs6NOnTpER0dz4cKFRK+ZUjg7O1O+fHly5MjxwqX1o6Oj+fvvv3FxcTF9T2fNmpXatWtz9epVLl68yJMnTzh27BhFixY1fU8XLFiQypUrc/r0aW7evMm9e/c4efIkVapUoVixYgCULl2asmXLcurUqUSvaQkksCSjkJAQoqKiTLs/k/BNmzt3biIjIy3zmaAFUFWVP//8k8DAQNzc3LCzsyMwMJCHDx9SqFAhbG1tAbC2tiZfvnzcv3+fO3fu8OjRI2JjYylZsqRprQE7OzsyZ85MUFAQjx8/NnullCk6OpqJEycC8N133z33ARcWFsbt27efW3vl6arPERERPHr0iODgYLJkyWLayE+v11OiRAliYmJ4+PDhM1dMuQICAlAUhalTp9K8eXN69OhBzZo1GTNmjOm5f1hYGLly5SJr1qym856G73v37qGqKhEREeTIkSPRonJZsmTBYDB8Mvfyyy+/pHPnzvz+++906dKFnj17MnDgQKpUqUKrVq1QVRV/f39Sp05t2vONhKCcOnVqzp8/bwolmTNnTvQLTp48ebC2tk7x4e9lA21jY2N58OABzs7OiRaBfPqLW3R0NJGRkTx+/DjRQpF6vZ7ixYtjMBiIi4vj/v37PHz4kKxZs5rWC7OysqJ48eLExMSYrmspJLAkM1tbW/Lnz2/6u42NDXnz5kWn06WoBXySk7e3N5MnT6ZGjRp06dIFEsJfRETEC+/Z0+XQb9++TVRU1HM/oJ9+k7/smz0leRr2tm7dypgxY8iXL5/p/9t8lWXz+5E6dWpiY2O5cuXKS9vY2NgQERHB7du3Ex1PqXQ6HQaDATs7O5YsWcLmzZupVKkS06dPZ9euXab3o7Ozc6JdhbNkyYKTk1Oi92vu3LkTtXFxccHBweGF7+mUyNramsyZM/P48WMOHjzIwYMH+X97dxvT1NnGAfzfFyothVJtGxCwBWQD5E3mBsjMMBoXA1vGyBKdRA1jKk42ApIs6Maibh+WJcaMOQ3LsmQflr1kxOwliw1VYSzGgZuxRdmGQAtIwaKm1Vn6cj0fnnJCi7rtiebp6PVLzpdz7sMhd845vXr3uq/bZrNBq9VCKpWCiO47e8rpdMLr9d7zPYBAAn8kS0tLmxewzF05XCQSISUlJaj/EhISguqREVHQcz93BCzccMDygHk8nqAPAI/Hg+Hh4Xk3Bfsvk8mEHTt2IDs7Gx9++KEwOqVWq6FUKuHxeOb12+zQcUpKChQKxbyRK5FIBLFYPO8DeyFyOBw4cuQI9Ho9UlJS0Nvbi+HhYXi9Xly8eDEo0Ah96TudTshkMqSnpwv9FdrG4/EIa3pFAgqsR7Zz505UVFRgzZo1aGhogEgkwpkzZ4T+mZ6eDpppMTk5CZfLFXSvWq3WoDZDQ0P4888/593PC1VXVxeOHDmCLVu24PTp0+jq6sLBgwfx9ddf4+OPP4ZYLIZSqQw9TaBUKiGRSO7bJtKriA8NDQWNhAwPD8+bJWSz2YLuObvdPm8W5dznnojuW/bg/4kDlgcoPj4ecrkck5OTwj632w2r1QqFQjFvJCDSmUwm1NbWQiqV4t1330VqaqpwLDExERqNBmazWQhIvF4vBgcHodPpkJycjCVLlmDRokW4ePGicJ7b7cbk5CSWLVsGrVYr7F+orl27BpvNBovFgmeeeQbr16/H4cOH4XQ6UVtbi6NHjyI+Ph4pKSlwOBxBLyKLxQKJRILFixcLfWq324U6DEQEs9mM6OjoiOhLBHJ7xGJxUICm0+mgVCqFb/OxsbGw2Wy4evWq0GZsbAwIjLTMfkMdHx8PGkEYGhqCRCJZkGu83E1XVxd8Ph9qa2thMBig0+lQU1MDvV6Pnp4eeDwe5ObmwuVyYXx8XDhvfHwcLpcLOTk5UCgUWLFiBSYnJ4OmMc8G5VlZWcK+SCKTyaDRaOBwOIICltnp4HK5HAqFAmq1GhMTE0Ibv98Ps9kMqVQKmUwGnU4HrVaLiYkJ4f6emZnB+fPnw3K9MQ5YHqC0tDRkZmbCZDIJN85PP/2Ey5cvo6ysDPHx8aGnRCQiQmdnJ3bs2AGpVIr29nY89thjmF1hlIigVqtRUFCAc+fOobe3FwgswfDzzz8jKysLS5YsQUJCAjIzM9HZ2Qmz2QwE6mP09fUhPz//vt/MForExER88MEH+Oijj9DW1oa2tjZs3rwZCoUCLS0tqKqqQnR0NFavXo3Lly+ju7sbCLzYjEYjDAYDDAYDYmJikJubi3PnzgnJdhcuXMCpU6eQnZ0dlJe1kJWUlCAqKgomk0kI3GYTuGeDmLKyMty4cQM//PAD/H4/nE4nTpw4gYSEBOH8devWwWaz4dSpU0AgsDx9+jT0en3EfMgmJiZiZmYmKHlzcHAQ09PTUKlUEIvFWLVqFUQiEYxGo/BTr9FohEgkwuOPPw6RSITi4mJcv34dHR0dQOAD9eTJk1CpVMjPz59zxYVj9j04d2Rk7j6FQoEnn3wSV65cEep8TUxM4OTJk3jkkUeQnZ2N+Ph4FBUV4cKFCzh79iwQyNH68ccfkZeXB71eD51Oh5UrV6K7uxv9/f3AnHdoQUGBcO2wETptiLf/ffP5fPTJJ59QTEwMlZSUUFNTE+n1ekpNTaXz58/Pax+p261bt2jt2rUEgDIyMuiFF16gqqoqqqqqopaWFrp9+zb5/X765ptvKDY2lgoKCuiNN96gJ554glQqFXV0dJA/0N/Hjx+nqKgoys3NpebmZsrOziadTkdGo3HedSNlO3bsGMXGxpLFYhH29fb2kl6vJ4PBQHv37qXi4mJSKpV09OhRYbr9999/TxqNJqgvVSoVff755xFTh8XpdNKLL75Icrmctm7dSk1NTaTT6aigoID++OMP8vv9ZLVaac2aNaRSqWjXrl30/PPPk0wmo6amJqEOy++//055eXmk0+mooaGB1q9fT9HR0fTee+9FTHkDs9lMaWlppNVqqbGxkd566y1asWIFxcXFCfWWnE4nVVZWkkqlorq6OqqrqyOVSkWVlZVCHZaJiQkqKSkhjUZDTU1NtHXrVpLL5fTKK68I/b3QNrvdTjt37qTKykpSq9UUHR1NFRUVVF1dTQMDA+QPTFHOzMykpUuXUmNjI5WVlZFcLqe2tjbhee3q6qLExETKyMig5uZmKiwspPj4ePr000+Fa3311VekUqmosLCQmpubKSMjg5KSkoQSCOG0SVpbW98KDWLY/0YkEiErKwuJiYkYGBjAyMgI0tLS8M4776CoqGhefkCk8vl8+OWXX6BQKBATE4ObN2/C5XLB5XJBqVTi6aefRlRUFAwGA7KysjA8PIz+/n5otVq0traivLxcyLfIzMyEwWCA1WrFlStXsHz5crz99ttYu3ZtxPb32NgYHA4HKioqoFargUCiXX5+PqampmCxWKBQKNDc3Izt27cLeQCpqalYuXIlrFYrLl26BJ1Oh9bWVjz33HMRkQ+EwFB7cXExxGIxzGYzrFYrVq9ejQMHDgjTPuPi4lBaWorp6WlcunQJXq8X27dvR2Njo5CsuHjxYqxatQpjY2MYGBhAdHQ09uzZg5dfflmY9bbQaTQa5OXlCf00NDSEZcuWYf/+/Xj22WchkUggk8lQVFQEAOjr68Pk5CQqKyuxb98+6HQ6AEBMTAyKiopw+/Zt9PX1wel0Ytu2bWhoaEBcXFzIVRcGp9OJL7/8Ena7HQkJCUhOTsatW7fgdruxYcMGaLVaaDQaFBYWwmazYWBgAFKpFPX19XjppZeE9IPk5GTk5ORgYmIC/f39UKlUaGlpwaZNm4TE24yMDKSnp8NqteK3335DUlISDh48iPLy8rB7h/Lihw/JnTt3QESQSqWcuxKCiIJqM8wlFoshk8mCHpSZmRn4fL779qXb7Ybf70dUVFTEJ+J5vV54vV7IZLKg2QAIBIszMzMQiUT3/I3a6/XC4/FALBYHzTiINLPP8KJFi+b1I7gv/7bZPkBg1tm9ns/ZZQvkcnnoISCQf+F2u+/b3wuF3+8XalKFCr0fPR4PvF7vffvl79yHs39nNpAMRxywMMYYYyzszf/awBhjjDEWZjhgYYwxxljY44CFMcYYY2GPAxbGGGOMhT1OumWMPXA+nw9WqzWoTHgoqVQKvV4fNPOro6MDPT098Hq9KC4uxqZNm+D1emG1WiGVSpGcnCzMkHC5XBgdHYVMJkNiYiLa29uFarJVVVUoKSmZczXG2L8dj7Awxh44q9WK6upqlJeXo7y8HOvWrUNZWRk2btwo7GtoaIDL5Qo6z2g04tixYxgaGsKNGzcAADdv3kR1dTX27NkjBEAOhwP19fXYsGEDvv32WxARHA4HLBYLDh8+HFRdlTG2MPAIC2PsgXM6nbBYLPD5fCAivPnmm/j1119x/PhxLF26FAgscJmZmRlUU2L37t04c+YMuru7oVarIRKJMDU1hdLSUuh0OnR2dsLlcqGxsRFffPEFmpqa0NLSAoVCASKCxWLBU089hUOHDqGurm7Of8QY+7fjERbG2AMXGxuL4uJilJaWorCwEG63G+np6di4cSNKS0tRWlqK7OzsuxZkQ6Bq9NzigSKRCBKJBHa7XQhW9u7di3379kGhUNz1HMbYwnL3twVjjD0gDocDo6Oj0Ov196yy+VfEYjGsViu2bNmC7777Dq+//jpaWlruWRWVMbbwcMDCGHuoRkZGMDU1hdzc3HsurfBXxGIxRkZGcPbsWbS2tmL//v0crDAWYThgYYw9VP39/fB4PMjJyQk99I/I5XLIZDKYTCZMTEyEHmaMLXAcsDDGHhoigtlshlKpREZGRujhv83n8yEvLw8tLS0wGo2oq6vD6OhoaDPG2ALGAQtj7KG5c+cOLBYLkpOTkZSUFHr4byMiREVF4bXXXsOBAwdgMpmwe/duDloYiyAcsDDGHppr165hcHAQjz76KOLi4kIP/yNEBKlUivr6eg5aGItAHLAwxh6aq1ev4vr16/8o4TZ0evLslGaJRCKMtMwGLV1dXXj11VcxNjYGBJJzeWozYwsTByyMsYdm+fLl+Oyzz1BTUxN66K5EIhE8Hg9sNhump6eBQE2X999/H4cOHYJMJgMAIWg5ceIEtm3bBr/fD7vdjrGxMfh8vpC/yhhbCLjSLWMsbNTX16O9vR3JycnYvHkzDh48GNrkrtxuN2pqatDT04PR0VG0tbVh165doc0YY/9iHLAwxhhjLOzxT0KMMcYYC3scsDDGGGMs7HHAwhhjjLGwxwELY4wxxsIeByyMMcYYC3scsDDGGGMs7HHAwhhjjLGw9x8/MQtXQjZTUQAAAABJRU5ErkJggg==" + } + }, + "cell_type": "markdown", + "id": "4871541d", + "metadata": {}, + "source": [ + "Comparing with the paper\n", + "\n", + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "markdown", + "id": "803d0061", + "metadata": {}, + "source": [ + "### Run for different sizes" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "e17c1cb2", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_r5 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234,\n", + " cell_scale_value=5\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "95f5b456", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_r6 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234,\n", + " cell_scale_value=6\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "253fdbb2", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_r7 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234,\n", + " cell_scale_value=7\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "27dda665", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(500, 864, 1372)" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(repeated_unit_cell_nvt_300_r5), len(repeated_unit_cell_nvt_300_r6), len(repeated_unit_cell_nvt_300_r7)" + ] + }, + { + "cell_type": "markdown", + "id": "8504d819", + "metadata": {}, + "source": [ + "### Run for different temps" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "a79f0164", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=4928459\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "ca412583", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "# input should be a unit cell and the output is a repeated cell\n", + "\n", + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=4928459\n", + " )\n", + "repeated_unit_cell_nvt_500 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=500, \n", + " seed=4928459\n", + " )\n", + "repeated_unit_cell_nvt_800 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str, \n", + " temperature=800, \n", + " seed=4928459\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "50657869", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(Atoms(symbols='Cu500', pbc=True, cell=[18.159633978016213, 18.159633978016213, 18.159633978016213], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.22042115296756, 18.22042115296756, 18.22042115296756], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.32144627231945, 18.32144627231945, 18.32144627231945], momenta=...))" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300, repeated_unit_cell_nvt_500, repeated_unit_cell_nvt_800" + ] + }, + { + "cell_type": "markdown", + "id": "287c3799", + "metadata": {}, + "source": [ + "### Re-run for different seeds to observe the change" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "id": "cf846c16", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234\n", + " )\n", + "repeated_unit_cell_nvt_300_2 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=9876\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "e4e42d8b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "f2d8b550", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 == repeated_unit_cell_nvt_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "7404bcd8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Temperature-dependent Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "bd68a586", + "metadata": {}, + "source": [ + "### Finite temperature Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "d5363fdd", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(\n", + " structure : Atoms, \n", + " strain : float = 0.005\n", + " ):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "b4b47f14", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(\n", + " tensor_dict : dict, \n", + " strain : float\n", + " ) -> list[float]:\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "61bd9d33", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array, \n", + " temperature : float, \n", + " seed : int, \n", + " thermo : int, \n", + " thermostat : str\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " if thermostat == 'nose-hoover':\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " relaxed_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " strained_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + "\n", + " stress_diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "id": "9f46351a", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential_name : str, \n", + " temperature : float = 0, \n", + " strain : float = 0.005, \n", + " seed : int = 4928459, \n", + " thermo : int = 100, \n", + " thermostat : str = 'langevin'\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_finite_temperature(\n", + " structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " seed=seed,\n", + " thermo=thermo,\n", + " thermostat=thermostat\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "50845aad", + "metadata": {}, + "source": [ + "#### Comparing with paper" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "82533806", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{200.0: Atoms(symbols='Cu500', pbc=True, cell=[18.13009526549904, 18.13009526549904, 18.13009526549904], momenta=...),\n", + " 400.0: Atoms(symbols='Cu500', pbc=True, cell=[18.189762350319793, 18.189762350319793, 18.189762350319793], momenta=...),\n", + " 600.0: Atoms(symbols='Cu500', pbc=True, cell=[18.25254286101205, 18.25254286101205, 18.25254286101205], momenta=...),\n", + " 800.0: Atoms(symbols='Cu500', pbc=True, cell=[18.32136441717797, 18.32136441717797, 18.32136441717797], momenta=...),\n", + " 1000.0: Atoms(symbols='Cu500', pbc=True, cell=[18.396310570465143, 18.396310570465143, 18.396310570465143], momenta=...)}" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "equilibriated_cells_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "6659e458", + "metadata": {}, + "outputs": [], + "source": [ + "elastic_constants_dict = {}\n", + "tensor_dict = {}" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "id": "0386213e", + "metadata": {}, + "outputs": [], + "source": [ + "elastic_constants_dict_test = {}\n", + "tensor_dict_test = {}" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "id": "c659e9e7", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "for temp, equilibriated_structure in equilibriated_cells_dict.items():\n", + " elastic_constants_dict[temp], tensor_dict[temp] = calculate_elastic_constants_at_finite_temperature(\n", + " structure=equilibriated_structure, \n", + " potential_name=potential_name_str,\n", + " temperature=temp,\n", + " strain=0.0001,\n", + " seed=1234,\n", + " thermo=100,\n", + " thermostat='langevin'\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "14d49564", + "metadata": {}, + "outputs": [], + "source": [ + "# for temp, equilibriated_structure_test in elastic_constants_dict_test.items():\n", + "# elastic_constants_dict_test[temp], tensor_dict_test[temp] = calculate_elastic_constants_at_finite_temperature(\n", + "# structure=equilibriated_structure_test, \n", + "# potential_name=potential_name_str,\n", + "# temperature=temp,\n", + "# strain=0.0001,\n", + "# seed=1234,\n", + "# thermo=100,\n", + "# thermostat='langevin'\n", + "# )" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "id": "b4285378", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{200.0: [2174669.4602611274, 1018898.4947703532, 441041.9870180025],\n", + " 400.0: [102953.0412111774, 2239282.3723677625, 450444.124337224],\n", + " 600.0: [2729935.1501242556, 2724024.822803784, 1814141.2255990584],\n", + " 800.0: [7255225.069917799, 1563706.9363174024, 986652.5363471605],\n", + " 1000.0: [299621.45449615887, 1412857.5283340057, 2972982.8263855726]}" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "id": "2bf8f64f", + "metadata": {}, + "outputs": [], + "source": [ + "c11s = np.array([constants[0] for temp, constants in elastic_constants_dict.items()])/(10**4)\n", + "c12s = np.array([constants[1] for temp, constants in elastic_constants_dict.items()])/(10**4)\n", + "c44s = np.array([constants[2] for temp, constants in elastic_constants_dict.items()])/(10**4)" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "id": "ac9baeb6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(temps, c11s, color='black', label=\"C11\")\n", + "plt.plot(temps, c12s, color='red', label=\"C12\")\n", + "plt.plot(temps, c44s, color='blue', label=\"C44\")\n", + "\n", + "plt.ylabel('C [GPa]')\n", + "plt.xlabel('T [K]')\n", + "plt.legend()" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" ...,\n", + " [-7.89363857e+00, -2.39676629e+00, -2.64249204e+00],\n", + " [-1.05107549e+00, 4.31242632e-01, -6.24408176e-01],\n", + " [ 3.48748578e+00, 2.54798427e+00, 2.30150997e+00]]]),\n", + " 'volume': array([6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 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"execute_result" + } + ], + "source": [ + "tensor_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "id": "9f93a3b6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['C11', 'relaxed_dict_C11', 'strained_dict_C11', 'C12', 'relaxed_dict_C12', 'strained_dict_C12', 'C44', 'relaxed_dict_C44', 'strained_dict_C44'])" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tensor_dict[200].keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "id": "74e82ded", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.061675995882257896" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "temp = 800\n", + "\n", + "plt.title(f'Relaxed stress - {temp}K')\n", + "plt.plot(np.array(tensor_dict[temp]['relaxed_dict_C11']['pressure'][:,0,0])/(10**4))\n", + "\n", + "mean_run = np.mean(np.array(tensor_dict[temp]['relaxed_dict_C11']['pressure'][20:,0,0])/(10**4), axis = 0)\n", + "plt.axhline(mean_run)\n", + "mean_run\n", + "# plt.ylim([-2500, 6000])" + ] + }, + { + "cell_type": "markdown", + "id": "5f8b8ae3", + "metadata": {}, + "source": [ + "##### Higher strain" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "id": "12d6c022", + "metadata": {}, + "outputs": [], + "source": [ + "elastic_constants_dict_s_0d005 = {}\n", + "tensor_dict_s_0d005 = {}" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "id": "90faefec", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "for temp, equilibriated_structure in equilibriated_cells_dict.items():\n", + " elastic_constants_dict_s_0d005[temp], tensor_dict_s_0d005[temp] = calculate_elastic_constants_at_finite_temperature(\n", + " structure=equilibriated_structure, \n", + " potential_name=potential_name_str,\n", + " temperature=temp,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100,\n", + " thermostat='langevin'\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "id": "974b2f9c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{200.0: [1689926.2870792623, 1199900.7722401675, 730334.6302901498],\n", + " 400.0: [1520860.1690123065, 1194548.8862952578, 677026.4162059409],\n", + " 600.0: [1526808.8931538542, 1143067.2013240021, 674252.0820365035],\n", + " 800.0: [1361479.7608443967, 1060540.9171514856, 606522.5563947186],\n", + " 1000.0: [1141727.2409333778, 989964.1113679174, 581845.8784267915]}" + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_dict_s_0d005" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "id": "b33bb357", + "metadata": {}, + "outputs": [], + "source": [ + "c11s_s_0d005 = np.array([constants[0] for temp, constants in elastic_constants_dict_s_0d005.items()])/(10**4)\n", + "c12s_s_0d005 = np.array([constants[1] for temp, constants in elastic_constants_dict_s_0d005.items()])/(10**4)\n", + "c44s_s_0d005 = np.array([constants[2] for temp, constants in elastic_constants_dict_s_0d005.items()])/(10**4)" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "0fdbe2f5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(temps, c11s_s_0d005, color='black', label=\"C11\")\n", + "plt.plot(temps, c12s_s_0d005, color='red', label=\"C12\")\n", + "plt.plot(temps, c44s_s_0d005, color='blue', label=\"C44\")\n", + "\n", + "plt.scatter(0, elastic_constants_list_0[0]/(10**4), marker='*', color='black')\n", + "plt.scatter(0, elastic_constants_list_0[1]/(10**4), marker='*', color='red')\n", + "plt.scatter(0, elastic_constants_list_0[2]/(10**4), marker='*', color='blue')\n", + "\n", + "\n", + "plt.xlim([0, 1000])\n", + "plt.ylim([40, 180])\n", + "plt.ylabel('C [GPa]')\n", + "plt.xlabel('T [K]')\n", + "plt.legend()" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "8e5c91b7", + "metadata": {}, + "source": [ + "Constants from the reference paper:\n", + "\n", + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "74ead283", + "metadata": {}, + "outputs": [], + "source": [ + "tensor_dict_s_0d005" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ad10c7c8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['C11', 'relaxed_dict_C11', 'strained_dict_C11', 'C12', 'relaxed_dict_C12', 'strained_dict_C12', 'C44', 'relaxed_dict_C44', 'strained_dict_C44'])" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tensor_dict_s_0d005[200].keys()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6a24ad86", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.061675995882257896" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "temp = 800\n", + "\n", + "plt.title(f'Relaxed stress - {temp}K (strain 0.005)')\n", + "plt.plot(np.array(tensor_dict_s_0d005[temp]['relaxed_dict_C11']['pressure'][:,0,0])/(10**4))\n", + "\n", + "mean_run = np.mean(np.array(tensor_dict_s_0d005[temp]['relaxed_dict_C11']['pressure'][20:,0,0])/(10**4), axis = 0)\n", + "plt.axhline(mean_run)\n", + "mean_run\n", + "# plt.ylim([-2500, 6000])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7ca030f5", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "fcb74b32", + "metadata": {}, + "source": [ + "#### Run for different sizes" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "02b5c2ea", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_r5, tensor_dict_300_r5 = calculate_elastic_constants_at_finite_temperature(\n", + " structure=repeated_unit_cell_nvt_300_r5, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ba16fdbb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_r6, tensor_dict_300_r6 = calculate_elastic_constants_at_finite_temperature(\n", + " structure=repeated_unit_cell_nvt_300_r6, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e491482e", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_r7, tensor_dict_300_r7 = calculate_elastic_constants_at_finite_temperature(\n", + " structure=repeated_unit_cell_nvt_300_r7, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "5a10573e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([158.95130238, 118.05992355, 72.83813811]),\n", + " array([164.42664787, 118.43620252, 73.03356358]),\n", + " array([159.63144702, 117.30668158, 72.31421084]))" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(elastic_constants_list_300_r5)/10**4, np.array(elastic_constants_list_300_r6)/10**4, np.array(elastic_constants_list_300_r7)/10**4" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "6e5239a5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(500, 864, 1372)" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(repeated_unit_cell_nvt_300_r5), len(repeated_unit_cell_nvt_300_r6), len(repeated_unit_cell_nvt_300_r7)" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "id": "ff30b899", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-248.5645054267502\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 4))\n", + "\n", + "ax1.set_title(f'Relaxed stress - 300K, \\n{len(repeated_unit_cell_nvt_300_r5)} atoms')\n", + "ax1.plot(tensor_dict_300_r5['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_r5 = np.mean(tensor_dict_300_r5['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "ax1.axhline(mean_run_r5)\n", + "print(mean_run_r5)\n", + "ax1.set_ylim([-3000, 8000])\n", + "\n", + "ax2.set_title(f'Relaxed stress - 300K, \\n{len(repeated_unit_cell_nvt_300_r6)} atoms')\n", + "ax2.plot(tensor_dict_300_r6['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_r6 = np.mean(tensor_dict_300_r6['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "ax2.axhline(mean_run_r6)\n", + "mean_run_r6\n", + "ax2.set_ylim([-3000, 8000])\n", + "\n", + "\n", + "ax3.set_title(f'Relaxed stress - 300K, \\n{len(repeated_unit_cell_nvt_300_r7)} atoms')\n", + "ax3.plot(tensor_dict_300_r7['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_r7 = np.mean(tensor_dict_300_r7['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "ax3.axhline(mean_run_r7)\n", + "mean_run_r7\n", + "ax3.set_ylim([-3000, 8000])\n", + "\n", + "\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cb5ca196", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3607a825", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "46c7add7", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "b9713897", + "metadata": {}, + "source": [ + "#### Run 0" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e853de44", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300, tensor_dict_300 = calculate_elastic_constants_at_finite_temperature(\n", + " structure=repeated_unit_cell_nvt_300, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bf2da33d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_500, tensor_dict_500 = calculate_elastic_constants_at_finite_temperature(\n", + " structure=repeated_unit_cell_nvt_500, \n", + " potential_name=potential_name_str,\n", + " temperature=500,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0444dcca", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_800, tensor_dict_800 = calculate_elastic_constants_at_finite_temperature(\n", + " structure=repeated_unit_cell_nvt_800, \n", + " potential_name=potential_name_str,\n", + " temperature=800,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "b5378f7b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the finite temp code was independent\n", + "elastic_constants_list_300, elastic_constants_list_500, elastic_constants_list_800" + ] + }, + { + "cell_type": "markdown", + "id": "e376c301", + "metadata": {}, + "source": [ + "#### Run 1 - different seed" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1f88bad9", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_1, tensor_dict_300_1 = calculate_elastic_constants_at_finite_temperature(\n", + " structure=repeated_unit_cell_nvt_300_1, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo= 100\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "b59baacb", + "metadata": {}, + "source": [ + "#### Run 2 - different seed" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "980af781", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_2, tensor_dict_300_2 = calculate_elastic_constants_at_finite_temperature(\n", + " structure=repeated_unit_cell_nvt_300_2, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=9876,\n", + " thermo= 100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "id": "8677c191", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1631197.7360318168, 1192380.5158855317, 736879.229655739]" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "43d86cb5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1589513.0238372444, 1180599.2354769662, 728381.381124874]" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "d16ed341", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1629049.494307301, 1175005.8632093833, 706370.4573887336]" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_2" + ] + }, + { + "cell_type": "markdown", + "id": "981bfa77", + "metadata": {}, + "source": [ + "#### Diagnostics" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d33b7f32", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-2500.0, 6000.0)" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Relaxed stress - Run 0')\n", + "plt.plot(tensor_dict_300['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_0 = np.mean(tensor_dict_300['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "plt.axhline(mean_run_0)\n", + "mean_run_0\n", + "plt.ylim([-2500, 6000])" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "id": "ba7ca3f7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-2500.0, 6000.0)" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Relaxed stress - Run 1')\n", + "plt.plot(tensor_dict_300_1['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_1 = np.mean(tensor_dict_300_1['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "plt.axhline(mean_run_1)\n", + "mean_run_1\n", + "plt.ylim([-2500, 6000])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "id": "0f787209", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Strained stress - Run 1')" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(tensor_dict_300_1['strained_dict_C11']['pressure'][:,:,0])\n", + "plt.axhline(np.mean(tensor_dict_300_1['strained_dict_C11']['pressure'][20:,0,0], axis = 0))\n", + "plt.title('Strained stress - Run 1')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5e292476", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "atomistics", + "language": "python", + "name": "dev-atomistics" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_03-09-25.ipynb b/hackathon/elastic_constants/MD/MD_03-09-25.ipynb new file mode 100644 index 0000000..d0592a0 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_03-09-25.ipynb @@ -0,0 +1,1701 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " analyse_structures_helper,\n", + " generate_structures_helper,\n", + ")\n", + "\n", + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name\n", + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_npt_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_nvt_with_lammpslib" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True)\n", + "len(unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1007230a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "500" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5)\n", + "len(repeated_unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict = None) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There is at least one non-excluded one OpenFabrics device found,\n", + "but there are no active ports detected (or Open MPI was unable to use\n", + "them). This is most certainly not what you wanted. Check your\n", + "cables, subnet manager configuration, etc. The openib BTL will be\n", + "ignored for this job.\n", + "\n", + " Local host: cmti001\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(unit_cell, potential_name_str, lmp_optimizer_kwargs)\n", + "relaxed_unit_cell" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(structure, potential)\n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "3.61500008107858" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(unit_cell, potential_name_str) # optional argument lmp_optimizer_kwargs\n", + "a_0" + ] + }, + { + "cell_type": "markdown", + "id": "a5c7184f", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "fe7f9a37", + "metadata": {}, + "source": [ + "### The old way" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "fc5abe51", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation_old(structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " elastic_constant : str, \n", + " deformation_gradient : np.array, \n", + " strain : float) -> float:\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_static_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe)\n", + " strained_dict = calc_static_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + " # print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + " diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " #return diff, constant\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "085147e6", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_old(structure : Atoms, potential : str, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + " \n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation_old(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d69ed63f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "strain_list = [0.005, -0.005, 0.0005, -0.0005, 0.0004, -0.0004, 0.0003, -0.0003, 0.0001, -0.0001]\n", + "elastic_constants_old = {}\n", + "for strain in strain_list:\n", + " elastic_constants_old[strain] = calculate_elastic_constants_old(structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " strain=strain)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "71cc73fa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{0.005: [1692164.6750272135, 1214497.7228949314, 762691.2007684121],\n", + " -0.005: [1710790.6463856378, 1247922.3801806667, 762691.2007684069],\n", + " 0.0005: [1697853.2932338533, 1224662.659686236, 761904.8651709246],\n", + " -0.0005: [1699856.6833791414, 1227964.3387871818, 761904.865170909],\n", + " 0.0004: [1698002.119256038, 1224858.4015360293, 761903.2505709308],\n", + " -0.0004: [1699647.353066269, 1227541.5719992353, 761903.2505709392],\n", + " 0.0003: [1698180.0334696264, 1225068.265620764, 761902.0532181964],\n", + " -0.0003: [1699438.2221923887, 1227152.3992523046, 761902.0532182545],\n", + " 0.0001: [1698602.3751587172, 1225666.2585527708, 761899.9945214274],\n", + " -0.0001: [1699020.04986783, 1226418.0480321562, 761899.9945215051]}" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_old" + ] + }, + { + "cell_type": "markdown", + "id": "02d8b319", + "metadata": {}, + "source": [ + "### The new way - modular" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "70269f40", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(structure : Atoms, strain : float = 0.005):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "c80b5eb1", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(stress_tensor_dict : dict, strain : float):\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in stress_tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "4eb8ecf6", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(structure : Atoms, potential_dataframe : pd.DataFrame, deformation_gradient : np.array):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_static_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe)\n", + " strained_dict = calc_static_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + " # print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + " diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " return diff" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "bdad3b19", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_0K(structure : Atoms, potential_name : str, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(structure=structure, strain=strain)\n", + "\n", + " stress_tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff = get_stress_tensor_at_0K(structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " )\n", + " stress_tensor_dict[constant_str] = diff\n", + "\n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(stress_tensor_dict, strain)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "0f769e02", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell, \n", + " potential_name=potential_name_str,\n", + " strain=0.005\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "4e54f2b0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_0" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "69de1155", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_old[0.005]" + ] + }, + { + "cell_type": "markdown", + "id": "e4744a71", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "2e24a3c5", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(structure : Atoms, potential : str, temperature : float = 500) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(5)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100\n", + " )\n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # structure_repeated_npt = bulk('Al', a=npt_lattice_constant, cubic=True).repeat(5)\n", + "\n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], [0,npt_lattice_constant,0], [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(5)\n", + "\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100\n", + " ) \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "b1fe1215", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "# input should be a unit cell and the output is a repeated cell\n", + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=300)\n", + "repeated_unit_cell_nvt_500 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=500)\n", + "repeated_unit_cell_nvt_800 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=800)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "876adbf3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(Atoms(symbols='Cu500', pbc=True, cell=[18.159633978016213, 18.159633978016213, 18.159633978016213], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.22042115296756, 18.22042115296756, 18.22042115296756], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.32144627231945, 18.32144627231945, 18.32144627231945], momenta=...))" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300, repeated_unit_cell_nvt_500, repeated_unit_cell_nvt_800" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Finite Temperature Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "b3e4b32a", + "metadata": {}, + "source": [ + "### The old way" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "3f558d1e", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation_at_finite_temperature_old(structure : Atoms, potential_dataframe : pd.DataFrame, elastic_constant : str, deformation_gradient : np.array, temperature : float, strain : float):\n", + "\n", + " from atomistics.calculators.lammps.libcalculator import calc_molecular_dynamics_nvt_with_lammpslib # FIXME: Add to top later!\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['pressure'])\n", + " # print(\"Strained stress:\\n\", strained_dict['pressure'])\n", + "\n", + " diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + " # print(diff)\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "27196719", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature_old(structure : Atoms, potential : str, temperature : float = 500, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation_at_finite_temperature_old(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "b2fe2da0", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_old = calculate_elastic_constants_at_finite_temperature_old(structure=repeated_unit_cell_nvt_300, potential=potential_name_str, temperature=300, strain=0.005)\n", + "elastic_constants_list_500_old = calculate_elastic_constants_at_finite_temperature_old(structure=repeated_unit_cell_nvt_500, potential=potential_name_str, temperature=500, strain=0.005)\n", + "elastic_constants_list_800_old = calculate_elastic_constants_at_finite_temperature_old(structure=repeated_unit_cell_nvt_800, potential=potential_name_str, temperature=800, strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "8187d2c2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_old, elastic_constants_list_500_old, elastic_constants_list_800_old" + ] + }, + { + "cell_type": "markdown", + "id": "acdf52df", + "metadata": {}, + "source": [ + "### The new way - modular" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "ee8a3478", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(structure : Atoms, strain : float = 0.005):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "91650a2c", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(stress_tensor_dict : dict, strain : float):\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in stress_tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list\n" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "6a373e2b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(structure : Atoms, potential_dataframe : pd.DataFrame, deformation_gradient : np.array, temperature : float):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['pressure'])\n", + " # print(\"Strained stress:\\n\", strained_dict['pressure'])\n", + "\n", + " diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + " \n", + " return diff" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "07d6d1d5", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(structure : Atoms, potential_name : str, temperature : float = 500, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(structure=structure, strain=strain)\n", + "\n", + " stress_tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff = get_stress_tensor_at_finite_temperature(\n", + " structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature\n", + " )\n", + " \n", + " stress_tensor_dict[constant_str] = diff\n", + "\n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(stress_tensor_dict, strain)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "e853de44", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_300, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "bf2da33d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_500 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_500, \n", + " potential_name=potential_name_str,\n", + " temperature=500,\n", + " strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "0444dcca", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_800 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_800, \n", + " potential_name=potential_name_str,\n", + " temperature=800,\n", + " strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "b5378f7b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300, elastic_constants_list_500, elastic_constants_list_800" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "a625faff", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_old, elastic_constants_list_500_old, elastic_constants_list_800_old" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "85285a34", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_0" + ] + }, + { + "cell_type": "markdown", + "id": "82782a43", + "metadata": {}, + "source": [ + "## (Jan + Yury)'s function to fit elastic constants" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "432a25fc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n" + ] + }, + { + "data": { + "text/plain": [ + "OrderedDict([('s_e_0',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])),\n", + " ('s_01_e_m0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.5968796658126285, 3.5968796658126285, 3.5968796658126285])),\n", + " ('s_01_e_m0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6059512556700533, 3.6059512556700533, 3.6059512556700533])),\n", + " ('s_01_e_0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.624026312560087, 3.624026312560087, 3.624026312560087])),\n", + " ('s_01_e_0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6330301185181946, 3.6330301185181946, 3.6330301185181946])),\n", + " ('s_08_e_m0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.5968796658126285, 3.5968796658126285, 3.6150000810785805])),\n", + " ('s_08_e_m0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6059512556700533, 3.6059512556700533, 3.6150000810785805])),\n", + " ('s_08_e_0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.624026312560087, 3.624026312560087, 3.6150000810785805])),\n", + " ('s_08_e_0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6330301185181946, 3.6330301185181946, 3.6150000810785805])),\n", + " ('s_23_e_m0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.6149092456290215, -0.018120872889173224, -0.018120872889173224], [-0.018120872889173224, 3.6149092456290215, -0.018120872889173224], [-0.018120872889173224, -0.018120872889173224, 3.6149092456290215]])),\n", + " ('s_23_e_m0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.614977430311052, -0.009048882249211423, -0.009048882249211423], [-0.009048882249211423, 3.614977430311052, -0.009048882249211423], [-0.009048882249211423, -0.009048882249211423, 3.614977430311052]])),\n", + " ('s_23_e_0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.6149775432859825, 0.009026287616106184, 0.009026287616106184], [0.009026287616106184, 3.6149775432859825, 0.009026287616106184], [0.009026287616106184, 0.009026287616106184, 3.6149775432859825]])),\n", + " ('s_23_e_0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.6149101495767533, 0.018030483764124534, 0.018030483764124534], [0.018030483764124534, 3.6149101495767533, 0.018030483764124534], [0.018030483764124534, 0.018030483764124534, 3.6149101495767533]]))])" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sym_dict, structure_dict = generate_structures_helper(\n", + " structure=relaxed_unit_cell,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + ")\n", + "structure_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "a2ad0a82", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "({'SGN': 225,\n", + " 'v0': 47.24163655365946,\n", + " 'LC': 'CI',\n", + " 'Lag_strain_list': ['01', '08', '23'],\n", + " 'epss': array([-0.005 , -0.0025, 0. , 0.0025, 0.005 ]),\n", + " 'strain_energy': [[(-0.005, -14.155331549040174),\n", + " (-0.0025, -14.158842895538605),\n", + " (0.0, -14.159999873522768),\n", + " (0.0024999999999999996, -14.158857794361712),\n", + " (0.005, -14.15545249983866)],\n", + " [(-0.005, -14.157811017439585),\n", + " (-0.0025, -14.159456877440729),\n", + " (0.0, -14.159999873522768),\n", + " (0.0024999999999999996, -14.159463637175513),\n", + " (0.005, -14.157865505906283)],\n", + " [(-0.005, -14.156634898702134),\n", + " (-0.0025, -14.159158178385077),\n", + " (0.0, -14.159999873522768),\n", + " (0.0024999999999999996, -14.159156382493132),\n", + " (0.005, -14.156620532355765)]],\n", + " 'e0': -14.159999873522768,\n", + " 'A2': array([3.90269271, 1.83064058, 2.85545831])},\n", + " {'elastic_matrix': array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]]),\n", + " 'elastic_matrix_inverse': array([[ 0.01523097, -0.00641602, -0.00641602, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00641602, 0.01523097, -0.00641602, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00641602, -0.00641602, 0.01523097, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0.0131149 , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0.0131149 ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0.0131149 ]]),\n", + " 'bulkmodul_voigt': 138.95117942771515,\n", + " 'bulkmodul_reuss': 138.9511794277151,\n", + " 'bulkmodul_hill': 138.95117942771512,\n", + " 'shearmodul_voigt': 54.98864393615269,\n", + " 'shearmodul_reuss': 39.7037528164912,\n", + " 'shearmodul_hill': 47.34619837632195,\n", + " 'youngsmodul_voigt': 145.74074756752282,\n", + " 'youngsmodul_reuss': 108.75294404877984,\n", + " 'youngsmodul_hill': 127.551323872706,\n", + " 'poissonsratio_voigt': 0.32518950400688545,\n", + " 'poissonsratio_reuss': 0.36955497067784265,\n", + " 'poissonsratio_hill': 0.3470070274585657,\n", + " 'AVR': 16.141624506124586,\n", + " 'elastic_matrix_eigval': EigResult(eigenvalues=array([ 46.19579076, 416.85353828, 46.19579076, 76.24914297,\n", + " 76.24914297, 76.24914297]), eigenvectors=array([[-0.81649658, 0.57735027, 0.61737659, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, -0.77143511, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, 0.15405852, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 1. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 1. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 1. ]]))})" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")\n", + "\n", + "result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + ")\n", + "\n", + "sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + ")\n", + "\n", + "sym_dict, elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "a6b97eff-c327-4c7e-b280-16777d3f3c7d", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(structure: Atoms, potential: str, strains, stresses=None, energies=None):\n", + "\n", + " sym_dict, structure_dict = generate_structures_helper(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + " )\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + " )\n", + "\n", + " sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "a7c156eb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "relaxed_structure = get_relaxed_structure_at_0K(unit_cell, potential_name_str)\n", + "elast_dict = fit_elastic_constants(\n", + " structure=relaxed_structure,\n", + " potential=potential_name_str,\n", + " strains=None)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "eb5f05b6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elast_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1eca244a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "e2b61396-042c-42a6-9320-1860442aff58", + "metadata": {}, + "outputs": [], + "source": [ + "def get_bulk_structure(\n", + " name: str,\n", + " crystalstructure=None,\n", + " a=None,\n", + " b=None,\n", + " c=None,\n", + " alpha=None,\n", + " covera=None,\n", + " u=None,\n", + " orthorhombic=False,\n", + " cubic=False,\n", + " basis=None,\n", + "):\n", + " from ase.build import bulk\n", + " equil_struct = bulk(\n", + " name=name,\n", + " crystalstructure=crystalstructure,\n", + " a=a,\n", + " b=b,\n", + " c=c,\n", + " alpha=alpha,\n", + " covera=covera,\n", + " u=u,\n", + " orthorhombic=orthorhombic,\n", + " cubic=cubic,\n", + " basis=basis,\n", + " )\n", + " return equil_struct" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "pyiron-latest", + "language": "python", + "name": "pyiron-latest" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_05-11-25.ipynb b/hackathon/elastic_constants/MD/MD_05-11-25.ipynb new file mode 100644 index 0000000..66adc29 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_05-11-25.ipynb @@ -0,0 +1,2331 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan, Sriram\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "ad9d71eb", + "metadata": {}, + "source": [ + "## Reference" + ] + }, + { + "cell_type": "markdown", + "id": "fee4e526", + "metadata": {}, + "source": [ + "We compare our values with the paper - [M. Krief, et. al., Physical Review E, 103, 063307, 2021](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4)\n", + "\n", + "Potential used: Copper [Mishin potential](https://www.ctcms.nist.gov/potentials/entry/2001--Mishin-Y-Mehl-M-J-Papaconstantopoulos-D-A-et-al--Cu-1/)" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "314284cf", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " get_tasks_for_elastic_matrix,\n", + " analyse_results_for_elastic_matrix\n", + ")\n", + "\n", + "from atomistics.calculators import (\n", + " evaluate_with_lammpslib, \n", + " get_potential_by_name, \n", + " calc_molecular_dynamics_npt_with_lammpslib, \n", + " calc_molecular_dynamics_nvt_with_lammpslib\n", + ")\n", + "\n", + "from atomistics.calculators.lammps.libcalculator import (\n", + " calc_static_with_lammpslib, \n", + " calc_molecular_dynamics_langevin_with_lammpslib\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "4c2e5072", + "metadata": {}, + "outputs": [], + "source": [ + "from pyiron_base import Project, job" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "d0c85625", + "metadata": {}, + "outputs": [], + "source": [ + "pr = Project(\"Finite_temp_convergence_4\")" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "4ce06b81", + "metadata": {}, + "outputs": [], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True) # 4 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "1007230a", + "metadata": {}, + "outputs": [], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5) # 500 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"\n", + "\n", + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.61500008107858, 3.61500008107858, 3.6150000810785805])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(\n", + " unit_cell, # 4 atoms\n", + " potential_name_str, \n", + " lmp_optimizer_kwargs\n", + ")\n", + "\n", + "relaxed_unit_cell # 4 atoms" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_lattice_constant_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(\n", + " structure=structure, \n", + " potential=potential,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " a_0 = structure_relaxed.get_volume()**(1/3)\n", + "\n", + " return a_0 # Angstrom" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(3.61500008107858)" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_lattice_constant_at_0K(\n", + " structure=unit_cell, \n", + " potential=potential_name_str,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs)\n", + "\n", + "a_0 # Angstrom" + ] + }, + { + "cell_type": "markdown", + "id": "00afafda", + "metadata": {}, + "source": [ + "We get the same lattice constant at 0K as the reference paper!" + ] + }, + { + "cell_type": "markdown", + "id": "487ad8a1", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "6da5fde2", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(\n", + " structure : Atoms, \n", + " strain : float = 0.005\n", + " ) -> dict:\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "66091ecb", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(\n", + " tensor_dict : dict, \n", + " strain : float\n", + " ) -> list[float]:\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "fdd3131b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " relaxed_dict = calc_static_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " strained_dict = calc_static_with_lammpslib(\n", + " structure=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + "\n", + " relaxed_dict['stress_GPa'] = relaxed_dict['stress'] / 10**4\n", + " strained_dict['stress_GPa'] = strained_dict['stress'] / 10**4\n", + "\n", + " stress_diff = strained_dict['stress_GPa'] - relaxed_dict['stress_GPa']\n", + " \n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "a1655241", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_0K(\n", + " structure : Atoms, \n", + " potential_name : str,\n", + " strain : float = 0.005\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_0K(\n", + " structure=structure,\n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "1d4d9117", + "metadata": {}, + "source": [ + "## Reference function to fit elastic constants (Jan + Yury)'s" + ] + }, + { + "cell_type": "markdown", + "id": "921512df", + "metadata": {}, + "source": [ + "Requires only `relaxed_unit_cell` and `potential_name_str` from previous cells" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "abfe2e9f", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(\n", + " structure: Atoms, \n", + " potential: str, \n", + " strains, \n", + " stresses=None, \n", + " energies=None):\n", + "\n", + " task_dict, sym_dict = get_tasks_for_elastic_matrix(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True\n", + " )\n", + "\n", + " potential_df = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict=task_dict,\n", + " potential_dataframe=potential_df,\n", + " )\n", + " \n", + " elastic_dict, sym_dict = analyse_results_for_elastic_matrix(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "07218d2f", + "metadata": {}, + "outputs": [], + "source": [ + "elastic_dict = fit_elastic_constants(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str,\n", + " strains=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "2b379a68", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "9d40a4ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.7, 123.6, 76.2])" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_reference = [\n", + " elastic_dict['elastic_matrix'][0,0], \n", + " elastic_dict['elastic_matrix'][0,1], \n", + " elastic_dict['elastic_matrix'][3,3]\n", + " ]\n", + "\n", + "np.round(elastic_constants_list_reference, 1) # GPa" + ] + }, + { + "cell_type": "markdown", + "id": "21e47c80", + "metadata": {}, + "source": [ + "In comparison with the [reference paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4 \"M. Krief, et. al., Physical Review E, 103, 063307, 2021\"),\n", + "\n", + "$C_{11}$=169.9GPa, $C_{12}$=122.6GPa, and $C_{44}$=76.2GPa" + ] + }, + { + "cell_type": "markdown", + "id": "3bfb90c7", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "d35b8305", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential : str, \n", + " temperature : float = 500,\n", + " run : int = 100000,\n", + " thermo : int = 100,\n", + " seed : int = 4928459, \n", + " cell_scale_value : int = 5,\n", + " thermostat : str = 'langevin'\n", + " ) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(cell_scale_value)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " # structure_npt = bulk('Cu', a=npt_lattice_constant, cubic=True)\n", + " # structure_repeated_npt = structure_npt.repeat(cell_scale_value)\n", + " \n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], \n", + " [0,npt_lattice_constant,0], \n", + " [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(cell_scale_value)\n", + "\n", + " if thermostat == 'nose-hoover':\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " nvt_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Temperature-dependent Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "61bd9d33", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array, \n", + " temperature : float,\n", + " run : int, \n", + " thermo : int,\n", + " seed : int,\n", + " thermostat : str\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " if thermostat == 'nose-hoover':\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " relaxed_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + " strained_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + "\n", + " relaxed_dict['pressure_GPa'] = relaxed_dict['pressure'] / 10**4\n", + " strained_dict['pressure_GPa'] = strained_dict['pressure'] / 10**4\n", + "\n", + " stress_diff = -np.mean(strained_dict['pressure_GPa'][20:] - relaxed_dict['pressure_GPa'][20:], axis=0)\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9f46351a", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(\n", + " structure : Atoms, # change to unit cell\n", + " cell_scale_value : int,\n", + " potential_name : str, \n", + " temperature : float = 0, \n", + " strain : float = 0.005,\n", + " run : int = 10000,\n", + " thermo : int = 100, \n", + " seed : int = 42, \n", + " thermostat : str = 'langevin'\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " equilibriated_structure = equilibriate_structure_at_finite_temperature(\n", + " structure=structure,\n", + " potential=potential_name_str, \n", + " temperature=temperature, \n", + " seed=seed,\n", + " cell_scale_value=cell_scale_value\n", + " )\n", + " \n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=equilibriated_structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_finite_temperature(\n", + " structure=equilibriated_structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " thermostat=thermostat\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return {\"elastic_constants\": elastic_constants_list, \"tensor_dict\": tensor_dict}" + ] + }, + { + "cell_type": "markdown", + "id": "ede048ce", + "metadata": {}, + "source": [ + "### Convergence tests" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "d79e68dd", + "metadata": {}, + "outputs": [], + "source": [ + "input_params_scale = {\n", + " \"cell_scale_value\" : [3, 5, 7, 9],\n", + " \"run\" : [10000],\n", + " \"temperature\" : [500],\n", + " \"strain\" : [0.0001],\n", + " \"seed\": [1357],\n", + " \"thermostat\" : [\"langevin\"]\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "64a69658", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'cell_scale_value': 3, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 5, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 7, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 9, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n" + ] + } + ], + "source": [ + "from itertools import product\n", + "keys = input_params_scale.keys()\n", + "values = input_params_scale.values()\n", + "\n", + "for combo in product(*values):\n", + " params = dict(zip(keys, combo))\n", + " print(params)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "3d1ef5ee", + "metadata": {}, + "outputs": [], + "source": [ + "input_params_scale = {\n", + " \"cell_scale_value\" : [2],\n", + " \"run\" : [100],\n", + " \"temperature\" : [500],\n", + " \"strain\" : [0.001],\n", + " \"seed\": [1357],\n", + " \"thermostat\" : [\"langevin\"]\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "f17dd89b", + "metadata": {}, + "outputs": [], + "source": [ + "def run_convergence(structure, potential_name_str, input_params, project):\n", + "\n", + " from itertools import product\n", + " from pyiron_base import job\n", + " \n", + " keys = input_params.keys()\n", + " values = input_params.values()\n", + "\n", + " for combo in product(*values):\n", + " params = dict(zip(keys, combo))\n", + " print(params)\n", + "\n", + " conv_job = job(calculate_elastic_constants_at_finite_temperature)\n", + " conv_out = conv_job(\n", + " structure = structure,\n", + " potential_name = potential_name_str,\n", + " pyiron_project = project,\n", + " **params\n", + " )\n", + "\n", + " conv_out.server.queue = \"cmmg\"\n", + " conv_out.server.cores = 1\n", + " conv_out.server.run_time = 3600\n", + "\n", + " conv_future = conv_out.pull()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "8ad1dc09", + "metadata": {}, + "outputs": [], + "source": [ + "convergence_job = job(run_convergence)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "fa6a27a6", + "metadata": {}, + "outputs": [], + "source": [ + "convergence_out = convergence_job(\n", + " structure=relaxed_unit_cell,\n", + " potential_name_str=potential_name_str,\n", + " input_params = input_params_scale,\n", + " project = pr,\n", + " pyiron_project = pr\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "c649eb62", + "metadata": {}, + "outputs": [], + "source": [ + "# convergence_out.server.queue = 'cmti'\n", + "# convergence_out.server.cores = 40\n", + "# convergence_out.server.run_time = 3600" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "0564273b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "convergence_out" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "fd63ea61", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The job run_convergence_da672396d8fb2c079aa261550d49d85b was saved and received the ID: 30430710\n", + "{'cell_scale_value': 2, 'run': 100, 'temperature': 500, 'strain': 0.001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "The job calculate_elastic_constants_at_finite_temperature_d308870e78b6dfa9434937fe84b78ca5 was saved and received the ID: 30430711\n", + "Queue system id: 18658654\n" + ] + } + ], + "source": [ + "convergence_future = convergence_out.pull()" + ] + }, + { + "cell_type": "markdown", + "id": "eb6a13bc", + "metadata": {}, + "source": [ + "### Results of job decorator trials" + ] + }, + { + "cell_type": "markdown", + "id": "16ff5591", + "metadata": {}, + "source": [ + "* 0- outer - ran local - aborted, with an empty IndexError\n", + "* 1- inner - ran local - aborted\n", + "* 2- outer - ran local - finished, submitted 3\n", + "* 3- inner - submitted to cluster - still running - found `IndexError: tuple index out of range` in `error.out`\n", + "* 4- outer - submitted to cluster - aborted\n", + "* 5- inner - ran locally on the submitted node - aborted" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "2dafbefe", + "metadata": {}, + "outputs": [], + "source": [ + "pr.refresh_job_status()" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "7c5a854f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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230402533abortedNonecalculate_elastic_constants_at_finite_temperature_3f31ca9f29c781d5aae9a98d2a1f7608/calculate_elastic_constants_at_finite_temperature_3f31ca9f29c781d5aae9a98d2a1f7608/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 09:47:55.740714NaTNaNpchilaka@cmti001#1PythonFunctionContainerJob0.4NoneNone
330402546finishedNonerun_convergence_b585bf23f12cf5e996152b9211733b1a/run_convergence_b585bf23f12cf5e996152b9211733b1a/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 10:05:50.183369NaTNaNpchilaka@cmti001#1PythonFunctionContainerJob0.4NoneNone
430402547abortedNonecalculate_elastic_constants_at_finite_temperature_2e4f430ec29d6780fd5be57c1b28b761/calculate_elastic_constants_at_finite_temperature_2e4f430ec29d6780fd5be57c1b28b761/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 10:05:50.274458NaTNaNpchilaka@cmti001#40#cmtiPythonFunctionContainerJob0.4NoneNone
530402555abortedNonerun_convergence_85d7818d36a9340e21aeb6de136e7e1e/run_convergence_85d7818d36a9340e21aeb6de136e7e1e/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 10:15:41.3166192025-10-22 10:19:32.703173231.0pchilaka@cmti001#40#cmtiPythonFunctionContainerJob0.4NoneNone
130402556abortedNonecalculate_elastic_constants_at_finite_temperature_f5c42c2842e9d3496acfc0553dadc2bf/calculate_elastic_constants_at_finite_temperature_f5c42c2842e9d3496acfc0553dadc2bf/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 10:15:47.140769NaTNaNpchilaka@cmti085#1PythonFunctionContainerJob0.4NoneNone
830430700finishedNonerun_convergence_bd9ee943f21bc896fcf8461aa254e78c/run_convergence_bd9ee943f21bc896fcf8461aa254e78c/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-11-04 15:17:07.672665NaTNaNpchilaka@cmti001#1PythonFunctionContainerJob0.4NoneNone
630430701finishedNonecalculate_elastic_constants_at_finite_temperature_5577a111f30b792e8397249b47a207f5/calculate_elastic_constants_at_finite_temperature_5577a111f30b792e8397249b47a207f5/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-11-04 15:17:07.816545NaTNaNpchilaka@cmti001#1PythonFunctionContainerJob0.4NoneNone
730430710finishedNonerun_convergence_da672396d8fb2c079aa261550d49d85b/run_convergence_da672396d8fb2c079aa261550d49d85b/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-11-04 15:25:56.848955NaTNaNpchilaka@cmti001#1PythonFunctionContainerJob0.4NoneNone
930430711finishedNonecalculate_elastic_constants_at_finite_temperature_d308870e78b6dfa9434937fe84b78ca5/calculate_elastic_constants_at_finite_temperature_d308870e78b6dfa9434937fe84b78ca5/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-11-04 15:25:56.946120NaTNaNpchilaka@cmti001#1#cmmgPythonFunctionContainerJob0.4NoneNone
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calculate_elastic_constants_at_finite_temperature_5577a111f30b792e8397249b47a207f5 \n", + "7 run_convergence_da672396d8fb2c079aa261550d49d85b \n", + "9 calculate_elastic_constants_at_finite_temperature_d308870e78b6dfa9434937fe84b78ca5 \n", + "\n", + " subjob \\\n", + "0 /run_convergence_8b236c6eee8dbc1ea1bda8643db16c13 \n", + "2 /calculate_elastic_constants_at_finite_temperature_3f31ca9f29c781d5aae9a98d2a1f7608 \n", + "3 /run_convergence_b585bf23f12cf5e996152b9211733b1a \n", + "4 /calculate_elastic_constants_at_finite_temperature_2e4f430ec29d6780fd5be57c1b28b761 \n", + "5 /run_convergence_85d7818d36a9340e21aeb6de136e7e1e \n", + "1 /calculate_elastic_constants_at_finite_temperature_f5c42c2842e9d3496acfc0553dadc2bf \n", + "8 /run_convergence_bd9ee943f21bc896fcf8461aa254e78c \n", + "6 /calculate_elastic_constants_at_finite_temperature_5577a111f30b792e8397249b47a207f5 \n", + "7 /run_convergence_da672396d8fb2c079aa261550d49d85b \n", + "9 /calculate_elastic_constants_at_finite_temperature_d308870e78b6dfa9434937fe84b78ca5 \n", + "\n", + " projectpath \\\n", + "0 /cmmc/u/ \n", + "2 /cmmc/u/ \n", + "3 /cmmc/u/ \n", + "4 /cmmc/u/ \n", + "5 /cmmc/u/ \n", + "1 /cmmc/u/ \n", + "8 /cmmc/u/ \n", + "6 /cmmc/u/ \n", + "7 /cmmc/u/ \n", + "9 /cmmc/u/ \n", + "\n", + " project \\\n", + "0 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "2 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "3 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "4 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "5 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "1 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "8 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "6 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "7 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "9 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "\n", + " timestart timestop totalcputime \\\n", + "0 2025-10-22 09:47:55.625592 2025-10-22 09:49:54.547541 118.0 \n", + "2 2025-10-22 09:47:55.740714 NaT NaN \n", + "3 2025-10-22 10:05:50.183369 NaT NaN \n", + "4 2025-10-22 10:05:50.274458 NaT NaN \n", + "5 2025-10-22 10:15:41.316619 2025-10-22 10:19:32.703173 231.0 \n", + "1 2025-10-22 10:15:47.140769 NaT NaN \n", + "8 2025-11-04 15:17:07.672665 NaT NaN \n", + "6 2025-11-04 15:17:07.816545 NaT NaN \n", + "7 2025-11-04 15:25:56.848955 NaT NaN \n", + "9 2025-11-04 15:25:56.946120 NaT NaN \n", + "\n", + " computer hamilton hamversion parentid \\\n", + "0 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "2 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "3 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "4 pchilaka@cmti001#40#cmti PythonFunctionContainerJob 0.4 None \n", + "5 pchilaka@cmti001#40#cmti PythonFunctionContainerJob 0.4 None \n", + "1 pchilaka@cmti085#1 PythonFunctionContainerJob 0.4 None \n", + "8 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "6 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "7 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "9 pchilaka@cmti001#1#cmmg PythonFunctionContainerJob 0.4 None \n", + "\n", + " masterid \n", + "0 None \n", + "2 None \n", + "3 None \n", + "4 None \n", + "5 None \n", + "1 None \n", + "8 None \n", + "6 None \n", + "7 None \n", + "9 None " + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pr.job_table()" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "id": "8e1423d7", + "metadata": {}, + "outputs": [], + "source": [ + "tj = pr.load(30430711)" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "id": "d09460a3", + "metadata": {}, + "outputs": [ + { + "data": { + "application/json": { + "result": "{'elastic_constants': [nan, nan, nan], 'tensor_dict': {'C11': array([[nan, nan, nan],\n [nan, nan, nan],\n [nan, nan, nan]]), 'C12': array([[nan, nan, nan],\n [nan, nan, nan],\n [nan, nan, nan]]), 'C44': array([[nan, nan, nan],\n [nan, nan, nan],\n [nan, nan, nan]]), 'relaxed_dict_C11': {'cell': array([[[7.28739076, 0. , 0. ],\n [0. , 7.28739076, 0. ],\n [0. , 0. , 7.28739076]]]), 'energy_pot': array([-111.16100844]), 'energy_tot': array([-108.8681816]), 'forces': array([[[ 2.76137003, -2.70557783, 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1.72547744],\n", + " [ 1.52749757, -2.60298004, -0.8553487 ],\n", + " [ 2.80764099, 3.64986022, 0.53317439],\n", + " [ 3.71006122, 0.3717157 , -3.74715374],\n", + " [ 0.02388625, 0.02549482, -3.70028412],\n", + " [ 1.20387636, -1.42016678, 1.44337895],\n", + " [-0.34662953, -0.84401013, 1.7001589 ],\n", + " [ 1.08269671, -5.02929815, 3.97343814],\n", + " [ 3.44250668, -3.86843095, 3.17733314],\n", + " [-2.72460194, 0.0619881 , 4.08011735],\n", + " [-1.24816746, -2.61138328, 3.09146858],\n", + " [-3.43961163, 3.01754801, 3.9726501 ],\n", + " [ 0.4365244 , 1.95635693, -0.72108091],\n", + " [ 0.57835284, 0.62447667, -1.63110204],\n", + " [ 5.20325902, -0.71365467, 3.12211682],\n", + " [-2.14778906, 2.98108405, -0.27535182],\n", + " [ 1.49602312, -0.74112238, 0.20306259],\n", + " [ 2.64733904, 3.48631617, 0.49233559],\n", + " [ 2.93550741, 2.65687902, 2.873883 ],\n", + " [-1.16737745, 1.13431698, 1.73703189],\n", + " [-0.47313158, 1.34502063, -0.37752767],\n", + " [-2.31557506, -2.67502995, 4.47333548],\n", + " [-0.89383734, 2.58951132, -2.66832234],\n", + " [-0.66408474, -3.45284409, 1.33398293],\n", + " [-3.43341905, 1.78058802, 0.88357112],\n", + " [ 0.32617837, -2.04771505, -1.42380222],\n", + " [ 1.12729573, -2.28428428, 1.36401692],\n", + " [ 0.86047341, 2.66334357, -2.74787242],\n", + " [-3.76119329, -2.30321728, 3.87688308],\n", + " [ 3.0961986 , 1.72441902, -1.77872338],\n", + " [-2.96257913, -3.45341162, -2.03355698],\n", + " [ 1.33720209, 1.5198764 , -2.49085333]]]), 'positions': array([[[6.74250081, 1.66538363, 0.84628086],\n", + " [6.78538864, 3.4296954 , 2.7425243 ],\n", + " [1.17147181, 1.51488402, 2.71077503],\n", + " [1.20652118, 3.433597 , 0.81260608],\n", + " [6.58896419, 1.5302575 , 4.43593467],\n", + " [6.39439614, 3.39240842, 6.19198751],\n", + " [1.14182465, 1.53457788, 6.30358189],\n", + " [1.13795642, 3.50256297, 4.5204448 ],\n", + " [6.619278 , 5.10648431, 0.69628032],\n", + " [6.66526137, 6.97676117, 2.5613112 ],\n", + " [1.18597955, 5.23879969, 2.62996585],\n", + " [1.25110205, 6.985326 , 0.82413277],\n", + " [6.6383778 , 5.07557882, 4.62301838],\n", + " [6.74840638, 7.17300106, 6.31915235],\n", + " [1.09645099, 5.32833593, 6.26782329],\n", + " [1.13231606, 6.95959573, 4.46557473],\n", + " [3.06205666, 1.5268965 , 0.90954128],\n", + " [2.85891284, 3.32127236, 2.54833425],\n", + " [4.93559648, 1.34614594, 2.65168883],\n", + " [4.82062411, 3.32722993, 0.89311609],\n", + " [2.94378521, 1.56412893, 4.4879889 ],\n", + " [2.93667571, 3.31407398, 6.24428788],\n", + " [4.77838546, 1.54415593, 6.50560962],\n", + " [4.59004819, 3.20999025, 4.32362209],\n", + " [3.20127844, 5.17886343, 1.01287598],\n", + " [2.99396332, 7.08252612, 2.66070492],\n", + " [5.12492683, 5.16139724, 2.92747459],\n", + " [5.03787346, 7.03738582, 0.87502168],\n", + " [2.93643998, 5.14699687, 4.34827943],\n", + " [3.06343719, 7.02438281, 6.45261971],\n", + " [4.72132214, 5.12808046, 6.32336588],\n", + " [4.82787492, 6.958876 , 4.61772943]]]), 'pressure': array([[[ 1244.9837897 , 2890.47587833, 4865.33999666],\n", + " [ 2890.47587833, 3375.75006757, -3070.42716694],\n", + " [ 4865.33999666, -3070.42716694, -3393.18692334]]]), 'pressure_GPa': array([[[ 0.12449838, 0.28904759, 0.486534 ],\n", + " [ 0.28904759, 0.33757501, -0.30704272],\n", + " [ 0.486534 , -0.30704272, -0.33931869]]]), 'temperature': array([571.7284531]), 'velocities': array([[[-5.18951053, -4.06052477, 1.27934953],\n", + " [-0.09100285, -0.62744026, 1.80738487],\n", + " [-0.70012239, 0.15061745, 1.55236467],\n", + " [-1.17762467, 5.42022111, -3.54383134],\n", + " [-1.29504925, 0.21287001, 3.18117653],\n", + " [ 1.1643785 , 1.74006789, -1.76788166],\n", + " [-2.82546213, 4.56316083, -1.30502315],\n", + " [-1.51932187, 1.0350226 , -0.67567604],\n", + " [ 0.07160142, 3.26876018, 2.93826776],\n", + " [ 1.73302989, -0.94980553, 1.95658457],\n", + " [ 1.1001665 , -7.68434901, -1.12301184],\n", + " [-0.00861563, -1.22526185, 1.7185582 ],\n", + " [ 1.21940939, -0.19075215, 5.27077982],\n", + " [-2.25757629, 1.2213853 , -0.33387214],\n", + " [-2.97849307, -0.29687466, -1.62944433],\n", + " [ 0.69826221, -3.80237969, 5.26866923],\n", + " [-2.39792962, 3.67610768, -4.95423292],\n", + " [ 1.50466881, 1.78650735, 1.07847264],\n", + " [ 1.64143088, -1.2277928 , 1.10477221],\n", + " [ 1.43266109, -2.05890544, 3.18228392],\n", + " [ 4.51712916, 1.4909864 , -4.39292378],\n", + " [-0.00896961, 2.77141425, 1.75374898],\n", + " [-0.28512485, 0.85466912, -0.26731526],\n", + " [-6.65328629, -0.30197712, -1.44406045],\n", + " [-1.21722579, -2.54562063, -0.60791467],\n", + " [ 2.37490457, -2.37258529, -0.51995864],\n", + " [-3.9881667 , -2.43240284, 0.68896212],\n", + " [ 3.51180904, -4.78556989, 0.3109416 ],\n", + " [ 2.92397053, -0.04126405, -4.64229167],\n", + " [ 2.80558357, 1.26998424, -0.57434783],\n", + " [ 1.76575246, 3.60800295, 5.65918774],\n", + " [ 3.80148158, 3.19244429, -1.08456583]]]), 'volume': array([387.00425324])}}}})" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tj.output" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "id": "c7cf358a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[nan, nan, nan]" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tj.output.result['elastic_constants']" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "1dfdd35f", + "metadata": {}, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'Atoms' object has no attribute 'list_nodes'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mAttributeError\u001b[39m Traceback (most recent call last)", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/IPython/core/formatters.py:406\u001b[39m, in \u001b[36mBaseFormatter.__call__\u001b[39m\u001b[34m(self, obj)\u001b[39m\n\u001b[32m 404\u001b[39m method = get_real_method(obj, \u001b[38;5;28mself\u001b[39m.print_method)\n\u001b[32m 405\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m method \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m--> \u001b[39m\u001b[32m406\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mmethod\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 407\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m\n\u001b[32m 408\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:462\u001b[39m, in \u001b[36mDataContainerBase._repr_html_\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 460\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34m_repr_html_\u001b[39m(\u001b[38;5;28mself\u001b[39m):\n\u001b[32m 461\u001b[39m name = \u001b[38;5;28mself\u001b[39m.\u001b[34m__class__\u001b[39m.\u001b[34m__name__\u001b[39m\n\u001b[32m--> \u001b[39m\u001b[32m462\u001b[39m plain = \u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mname\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m(\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mjson.dumps(\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mto_builtin\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m=\u001b[49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m)\u001b[49m,\u001b[38;5;250m \u001b[39mindent=\u001b[32m2\u001b[39m,\u001b[38;5;250m \u001b[39mdefault=\u001b[38;5;28mstr\u001b[39m)\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m)\u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m 463\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[33m\"\u001b[39m\u001b[33m
\u001b[39m\u001b[33m\"\u001b[39m + plain + \u001b[33m\"\u001b[39m\u001b[33m
\u001b[39m\u001b[33m\"\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:1016\u001b[39m, in \u001b[36mDataContainer.to_builtin\u001b[39m\u001b[34m(self, stringify)\u001b[39m\n\u001b[32m 1015\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mto_builtin\u001b[39m(\u001b[38;5;28mself\u001b[39m, stringify=\u001b[38;5;28;01mFalse\u001b[39;00m):\n\u001b[32m-> \u001b[39m\u001b[32m1016\u001b[39m data = \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m.\u001b[49m\u001b[43mto_builtin\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m=\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1018\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mto\u001b[39m(v):\n\u001b[32m 1019\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(v, HasDict):\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:451\u001b[39m, in \u001b[36mDataContainerBase.to_builtin\u001b[39m\u001b[34m(self, stringify)\u001b[39m\n\u001b[32m 444\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mrepr\u001b[39m(v) \u001b[38;5;28;01mif\u001b[39;00m stringify \u001b[38;5;28;01melse\u001b[39;00m v\n\u001b[32m 446\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m.has_keys():\n\u001b[32m 447\u001b[39m \u001b[38;5;66;03m# force all string keys in output to work with h5io (it\u001b[39;00m\n\u001b[32m 448\u001b[39m \u001b[38;5;66;03m# requires all string keys when storing as json), since\u001b[39;00m\n\u001b[32m 449\u001b[39m \u001b[38;5;66;03m# _normalize calls int() on all digit string keys this is\u001b[39;00m\n\u001b[32m 450\u001b[39m \u001b[38;5;66;03m# transparent for the rest of the module\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m451\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m {\u001b[38;5;28mstr\u001b[39m(k): \u001b[43mrec\u001b[49m\u001b[43m(\u001b[49m\u001b[43mv\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;28;01mfor\u001b[39;00m k, v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.items()}\n\u001b[32m 452\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 453\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m [rec(v) \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.values()]\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:442\u001b[39m, in \u001b[36mDataContainerBase.to_builtin..rec\u001b[39m\u001b[34m(v)\u001b[39m\n\u001b[32m 440\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mrec\u001b[39m(v):\n\u001b[32m 441\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(v, DataContainerBase):\n\u001b[32m--> \u001b[39m\u001b[32m442\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mv\u001b[49m\u001b[43m.\u001b[49m\u001b[43mto_builtin\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m=\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 443\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 444\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mrepr\u001b[39m(v) \u001b[38;5;28;01mif\u001b[39;00m stringify \u001b[38;5;28;01melse\u001b[39;00m v\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:1016\u001b[39m, in \u001b[36mDataContainer.to_builtin\u001b[39m\u001b[34m(self, stringify)\u001b[39m\n\u001b[32m 1015\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mto_builtin\u001b[39m(\u001b[38;5;28mself\u001b[39m, stringify=\u001b[38;5;28;01mFalse\u001b[39;00m):\n\u001b[32m-> \u001b[39m\u001b[32m1016\u001b[39m data = \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m.\u001b[49m\u001b[43mto_builtin\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m=\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1018\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mto\u001b[39m(v):\n\u001b[32m 1019\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(v, HasDict):\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:451\u001b[39m, in \u001b[36mDataContainerBase.to_builtin\u001b[39m\u001b[34m(self, stringify)\u001b[39m\n\u001b[32m 444\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mrepr\u001b[39m(v) \u001b[38;5;28;01mif\u001b[39;00m stringify \u001b[38;5;28;01melse\u001b[39;00m v\n\u001b[32m 446\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m.has_keys():\n\u001b[32m 447\u001b[39m \u001b[38;5;66;03m# force all string keys in output to work with h5io (it\u001b[39;00m\n\u001b[32m 448\u001b[39m \u001b[38;5;66;03m# requires all string keys when storing as json), since\u001b[39;00m\n\u001b[32m 449\u001b[39m \u001b[38;5;66;03m# _normalize calls int() on all digit string keys this is\u001b[39;00m\n\u001b[32m 450\u001b[39m \u001b[38;5;66;03m# transparent for the rest of the module\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m451\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43m{\u001b[49m\u001b[38;5;28;43mstr\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mk\u001b[49m\u001b[43m)\u001b[49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43mrec\u001b[49m\u001b[43m(\u001b[49m\u001b[43mv\u001b[49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mfor\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mk\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mv\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;129;43;01min\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mitems\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m}\u001b[49m\n\u001b[32m 452\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 453\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m [rec(v) \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.values()]\n", + "\u001b[36mFile \u001b[39m\u001b[32m:894\u001b[39m, in \u001b[36m__iter__\u001b[39m\u001b[34m(self)\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:973\u001b[39m, in \u001b[36mDataContainer.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 971\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m value\n\u001b[32m 972\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m--> \u001b[39m\u001b[32m973\u001b[39m value = \u001b[38;5;28mself\u001b[39m[key] = \u001b[43mvalue\u001b[49m\u001b[43m.\u001b[49m\u001b[43mload\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 974\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m value\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/hdfstub.py:99\u001b[39m, in \u001b[36mHDFStub.load\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 89\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mload\u001b[39m(\u001b[38;5;28mself\u001b[39m) -> Any:\n\u001b[32m 90\u001b[39m \u001b[38;5;250m \u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 91\u001b[39m \u001b[33;03m Read value from HDF.\u001b[39;00m\n\u001b[32m 92\u001b[39m \n\u001b[32m (...)\u001b[39m\u001b[32m 95\u001b[39m \u001b[33;03m Otherwise it will be loaded with :method:`.ProjectHDFio.to_object()`.\u001b[39;00m\n\u001b[32m 96\u001b[39m \u001b[33;03m \"\"\"\u001b[39;00m\n\u001b[32m 97\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m (\n\u001b[32m 98\u001b[39m \u001b[38;5;28mself\u001b[39m._group_name \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m._hdf.list_nodes()\n\u001b[32m---> \u001b[39m\u001b[32m99\u001b[39m \u001b[38;5;129;01mor\u001b[39;00m \u001b[33m\"\u001b[39m\u001b[33mTYPE\u001b[39m\u001b[33m\"\u001b[39m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_hdf\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_group_name\u001b[49m\u001b[43m]\u001b[49m\u001b[43m.\u001b[49m\u001b[43mlist_nodes\u001b[49m()\n\u001b[32m 100\u001b[39m ):\n\u001b[32m 101\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m._hdf[\u001b[38;5;28mself\u001b[39m._group_name]\n\u001b[32m 103\u001b[39m load = \u001b[38;5;28mself\u001b[39m._load_functions.get(\n\u001b[32m 104\u001b[39m \u001b[38;5;28mself\u001b[39m._hdf[\u001b[38;5;28mself\u001b[39m._group_name][\u001b[33m\"\u001b[39m\u001b[33mTYPE\u001b[39m\u001b[33m\"\u001b[39m], \u001b[38;5;28;01mlambda\u001b[39;00m h, g: to_object(hdf_group=h[g])\n\u001b[32m 105\u001b[39m )\n", + "\u001b[31mAttributeError\u001b[39m: 'Atoms' object has no attribute 'list_nodes'" + ] + }, + { + "ename": "AttributeError", + "evalue": "'Atoms' object has no attribute 'list_nodes'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mAttributeError\u001b[39m Traceback (most recent call last)", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/IPython/core/formatters.py:406\u001b[39m, in \u001b[36mBaseFormatter.__call__\u001b[39m\u001b[34m(self, obj)\u001b[39m\n\u001b[32m 404\u001b[39m method = get_real_method(obj, \u001b[38;5;28mself\u001b[39m.print_method)\n\u001b[32m 405\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m method \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m--> \u001b[39m\u001b[32m406\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mmethod\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 407\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m\n\u001b[32m 408\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:457\u001b[39m, in \u001b[36mDataContainerBase._repr_json_\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 456\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34m_repr_json_\u001b[39m(\u001b[38;5;28mself\u001b[39m):\n\u001b[32m--> \u001b[39m\u001b[32m457\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mto_builtin\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m=\u001b[49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:1016\u001b[39m, in \u001b[36mDataContainer.to_builtin\u001b[39m\u001b[34m(self, stringify)\u001b[39m\n\u001b[32m 1015\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mto_builtin\u001b[39m(\u001b[38;5;28mself\u001b[39m, stringify=\u001b[38;5;28;01mFalse\u001b[39;00m):\n\u001b[32m-> \u001b[39m\u001b[32m1016\u001b[39m data = \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m.\u001b[49m\u001b[43mto_builtin\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m=\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1018\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mto\u001b[39m(v):\n\u001b[32m 1019\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(v, HasDict):\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:451\u001b[39m, in \u001b[36mDataContainerBase.to_builtin\u001b[39m\u001b[34m(self, stringify)\u001b[39m\n\u001b[32m 444\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mrepr\u001b[39m(v) \u001b[38;5;28;01mif\u001b[39;00m stringify \u001b[38;5;28;01melse\u001b[39;00m v\n\u001b[32m 446\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m.has_keys():\n\u001b[32m 447\u001b[39m \u001b[38;5;66;03m# force all string keys in output to work with h5io (it\u001b[39;00m\n\u001b[32m 448\u001b[39m \u001b[38;5;66;03m# requires all string keys when storing as json), since\u001b[39;00m\n\u001b[32m 449\u001b[39m \u001b[38;5;66;03m# _normalize calls int() on all digit string keys this is\u001b[39;00m\n\u001b[32m 450\u001b[39m \u001b[38;5;66;03m# transparent for the rest of the module\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m451\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m {\u001b[38;5;28mstr\u001b[39m(k): \u001b[43mrec\u001b[49m\u001b[43m(\u001b[49m\u001b[43mv\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;28;01mfor\u001b[39;00m k, v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.items()}\n\u001b[32m 452\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 453\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m [rec(v) \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.values()]\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:442\u001b[39m, in \u001b[36mDataContainerBase.to_builtin..rec\u001b[39m\u001b[34m(v)\u001b[39m\n\u001b[32m 440\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mrec\u001b[39m(v):\n\u001b[32m 441\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(v, DataContainerBase):\n\u001b[32m--> \u001b[39m\u001b[32m442\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mv\u001b[49m\u001b[43m.\u001b[49m\u001b[43mto_builtin\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m=\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 443\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 444\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mrepr\u001b[39m(v) \u001b[38;5;28;01mif\u001b[39;00m stringify \u001b[38;5;28;01melse\u001b[39;00m v\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:1016\u001b[39m, in \u001b[36mDataContainer.to_builtin\u001b[39m\u001b[34m(self, stringify)\u001b[39m\n\u001b[32m 1015\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mto_builtin\u001b[39m(\u001b[38;5;28mself\u001b[39m, stringify=\u001b[38;5;28;01mFalse\u001b[39;00m):\n\u001b[32m-> \u001b[39m\u001b[32m1016\u001b[39m data = \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m.\u001b[49m\u001b[43mto_builtin\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m=\u001b[49m\u001b[43mstringify\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1018\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mto\u001b[39m(v):\n\u001b[32m 1019\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(v, HasDict):\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:451\u001b[39m, in \u001b[36mDataContainerBase.to_builtin\u001b[39m\u001b[34m(self, stringify)\u001b[39m\n\u001b[32m 444\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mrepr\u001b[39m(v) \u001b[38;5;28;01mif\u001b[39;00m stringify \u001b[38;5;28;01melse\u001b[39;00m v\n\u001b[32m 446\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m.has_keys():\n\u001b[32m 447\u001b[39m \u001b[38;5;66;03m# force all string keys in output to work with h5io (it\u001b[39;00m\n\u001b[32m 448\u001b[39m \u001b[38;5;66;03m# requires all string keys when storing as json), since\u001b[39;00m\n\u001b[32m 449\u001b[39m \u001b[38;5;66;03m# _normalize calls int() on all digit string keys this is\u001b[39;00m\n\u001b[32m 450\u001b[39m \u001b[38;5;66;03m# transparent for the rest of the module\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m451\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43m{\u001b[49m\u001b[38;5;28;43mstr\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mk\u001b[49m\u001b[43m)\u001b[49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43mrec\u001b[49m\u001b[43m(\u001b[49m\u001b[43mv\u001b[49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mfor\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mk\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mv\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;129;43;01min\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mitems\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m}\u001b[49m\n\u001b[32m 452\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 453\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m [rec(v) \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.values()]\n", + "\u001b[36mFile \u001b[39m\u001b[32m:894\u001b[39m, in \u001b[36m__iter__\u001b[39m\u001b[34m(self)\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/datacontainer.py:973\u001b[39m, in \u001b[36mDataContainer.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 971\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m value\n\u001b[32m 972\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m--> \u001b[39m\u001b[32m973\u001b[39m value = \u001b[38;5;28mself\u001b[39m[key] = \u001b[43mvalue\u001b[49m\u001b[43m.\u001b[49m\u001b[43mload\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 974\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m value\n", + "\u001b[36mFile \u001b[39m\u001b[32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.12/site-packages/pyiron_base/storage/hdfstub.py:99\u001b[39m, in \u001b[36mHDFStub.load\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 89\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mload\u001b[39m(\u001b[38;5;28mself\u001b[39m) -> Any:\n\u001b[32m 90\u001b[39m \u001b[38;5;250m \u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 91\u001b[39m \u001b[33;03m Read value from HDF.\u001b[39;00m\n\u001b[32m 92\u001b[39m \n\u001b[32m (...)\u001b[39m\u001b[32m 95\u001b[39m \u001b[33;03m Otherwise it will be loaded with :method:`.ProjectHDFio.to_object()`.\u001b[39;00m\n\u001b[32m 96\u001b[39m \u001b[33;03m \"\"\"\u001b[39;00m\n\u001b[32m 97\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m (\n\u001b[32m 98\u001b[39m \u001b[38;5;28mself\u001b[39m._group_name \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m._hdf.list_nodes()\n\u001b[32m---> \u001b[39m\u001b[32m99\u001b[39m \u001b[38;5;129;01mor\u001b[39;00m \u001b[33m\"\u001b[39m\u001b[33mTYPE\u001b[39m\u001b[33m\"\u001b[39m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_hdf\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_group_name\u001b[49m\u001b[43m]\u001b[49m\u001b[43m.\u001b[49m\u001b[43mlist_nodes\u001b[49m()\n\u001b[32m 100\u001b[39m ):\n\u001b[32m 101\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m._hdf[\u001b[38;5;28mself\u001b[39m._group_name]\n\u001b[32m 103\u001b[39m load = \u001b[38;5;28mself\u001b[39m._load_functions.get(\n\u001b[32m 104\u001b[39m \u001b[38;5;28mself\u001b[39m._hdf[\u001b[38;5;28mself\u001b[39m._group_name][\u001b[33m\"\u001b[39m\u001b[33mTYPE\u001b[39m\u001b[33m\"\u001b[39m], \u001b[38;5;28;01mlambda\u001b[39;00m h, g: to_object(hdf_group=h[g])\n\u001b[32m 105\u001b[39m )\n", + "\u001b[31mAttributeError\u001b[39m: 'Atoms' object has no attribute 'list_nodes'" + ] + }, + { + "data": { + "text/plain": [ + "DataContainer({'input': HDFStub({'groups': ['input__index_0', 'output__index_1'], 'nodes': ['DICT_VERSION', 'HDF_VERSION', 'NAME', 'OBJECT', 'READ_ONLY', 'TYPE', 'VERSION']}, input__index_0), 'output': HDFStub({'groups': ['input__index_0', 'output__index_1'], 'nodes': ['DICT_VERSION', 'HDF_VERSION', 'NAME', 'OBJECT', 'READ_ONLY', 'TYPE', 'VERSION']}, output__index_1)})" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tj.content['storage']" + ] + }, + { + "cell_type": "markdown", + "id": "b3d2cd0f", + "metadata": {}, + "source": [ + "### Running directly" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ff344c4e", + "metadata": {}, + "outputs": [], + "source": [ + "# def run_convergence(structure, potential_name_str, input_params):\n", + "\n", + "# from itertools import product\n", + "# from pyiron_base import job\n", + " \n", + "# keys = input_params.keys()\n", + "# values = input_params.values()\n", + "\n", + "# for combo in product(*values):\n", + "# params = dict(zip(keys, combo))\n", + "# print(params)\n", + "\n", + "# elastic_list, tensor_dict = calculate_elastic_constants_at_finite_temperature(\n", + "# structure = structure,\n", + "# potential_name = potential_name_str,\n", + "# **params\n", + "# )\n", + "\n", + "# return elastic_list, tensor_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "dd0eb561", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'cell_scale_value': 4, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "velocity all create $(2 * 500) 1357 dist gaussian\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n" + ] + } + ], + "source": [ + "# elastic_list, tensor_dict = run_convergence(relaxed_unit_cell, potential_name_str, input_params_scale)" + ] + }, + { + "cell_type": "markdown", + "id": "b22947ea", + "metadata": {}, + "source": [ + "## Pyiron table" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7e422ab5", + "metadata": {}, + "outputs": [], + "source": [ + "def db_filter_function(job_table):\n", + " return (job_table.status == \"finished\") & (job_table.hamilton == \"PythonFunctionContainerJob\")\n", + "\n", + "def job_filter_function(job):\n", + " return (job.status == \"finished\") & (\"calculate\" in job.name)\n", + "\n", + "def get_input_structure(job):\n", + " return job.project_hdf5['input']['data']['structure']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cb4cafc7", + "metadata": {}, + "outputs": [], + "source": [ + "table = pr.create.table(\"Convergence_pyiron_table\", delete_existing_job=True)\n", + "\n", + "# table.db_filter_function = db_filter_function\n", + "table.filter_function = job_filter_function\n", + "\n", + "table.add[\"input_structure\"] = get_input_structure\n", + "\n", + "table.run(delete_existing_job=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3b0d257f", + "metadata": {}, + "outputs": [], + "source": [ + "table.get_dataframe()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1040ef80", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "atomistics", + "language": "python", + "name": "dev-atomistics" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_06-08-25.ipynb b/hackathon/elastic_constants/MD/MD_06-08-25.ipynb new file mode 100644 index 0000000..30fb584 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_06-08-25.ipynb @@ -0,0 +1,2859 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "314284cf", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " analyse_structures_helper,\n", + " generate_structures_helper,\n", + ")\n", + "\n", + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name\n", + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_npt_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_nvt_with_lammpslib" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [], + "source": [ + "structure = bulk('Al', 'fcc', a=4.05, cubic=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name = \"1999--Mishin-Y--Al--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + ")\n" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure(structure: Atoms, potential: str) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "2c46da55", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There was an error initializing an OpenFabrics device.\n", + "\n", + " Local host: cmti001\n", + " Local device: hfi1_0\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Al4', pbc=True, cell=[4.050004662201837, 4.050004662201837, 4.050004662201837])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure = get_relaxed_structure(structure, potential_name)\n", + "relaxed_structure" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure(structure, potential)\n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "4.050004662201837" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(structure, potential_name)\n", + "a_0" + ] + }, + { + "cell_type": "markdown", + "id": "a5c7184f", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "b6cdb5ed", + "metadata": {}, + "source": [ + "### Calculated individually" + ] + }, + { + "cell_type": "markdown", + "id": "f011489c", + "metadata": {}, + "source": [ + "#### Calculate C11" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "05203bab", + "metadata": {}, + "outputs": [], + "source": [ + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "eda3ed8b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Atoms(symbols='Al4', pbc=True, cell=[4.029754638890828, 4.050004662201837, 4.050004662201837])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "structure_strained = relaxed_structure.copy()\n", + "\n", + "structure_strained.set_cell(\n", + " [structure_strained.get_cell()[0]*(0.995), structure_strained.get_cell()[1], structure_strained.get_cell()[2]],\n", + " scale_atoms=True\n", + ")\n", + "\n", + "structure_strained" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "d9b840d8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Relaxed stress:\n", + " [[-2.43580132e-04 2.02497379e-11 2.52703340e-11]\n", + " [ 2.02497379e-11 -2.43580106e-04 2.62291021e-11]\n", + " [ 2.52703340e-11 2.62291021e-11 -2.43580114e-04]]\n", + "Strained stress:\n", + " [[ 5.72921753e+03 -1.46328933e-11 -1.22781749e-11]\n", + " [-1.46328933e-11 3.07529760e+03 2.34727955e-11]\n", + " [-1.22781749e-11 2.34727955e-11 3.07529760e+03]]\n" + ] + }, + { + "data": { + "text/plain": [ + "1145843.555110171" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_dict = calc_static_with_lammpslib(structure=relaxed_structure, potential_dataframe= df_pot_selected)\n", + "strained_dict = calc_static_with_lammpslib(structure=structure_strained, potential_dataframe= df_pot_selected)\n", + "\n", + "print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + "print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + "diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "C11 = diff[0, 0] / 0.005\n", + "# C12 = diff[0, 1] / 0.005\n", + "\n", + "C11" + ] + }, + { + "cell_type": "markdown", + "id": "e5d08ec7", + "metadata": {}, + "source": [ + "#### Calculate C12" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "ba91a29a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Atoms(symbols='Al4', pbc=True, cell=[4.029754638890828, 4.029754638890828, 4.050004662201837])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "structure_strained = relaxed_structure.copy()\n", + "\n", + "structure_strained.set_cell(\n", + " [structure_strained.get_cell()[0]*(0.995), structure_strained.get_cell()[1]*(0.995), structure_strained.get_cell()[2]],\n", + " scale_atoms=True\n", + ")\n", + "\n", + "structure_strained" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "0f505345", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Relaxed stress:\n", + " [[-2.43580132e-04 2.02497379e-11 2.52703340e-11]\n", + " [ 2.02497379e-11 -2.43580106e-04 2.62291021e-11]\n", + " [ 2.52703340e-11 2.62291021e-11 -2.43580114e-04]]\n", + "Strained stress:\n", + " [[ 8.80299001e+03 1.47064255e-11 -2.02847248e-12]\n", + " [ 1.47064255e-11 8.80299001e+03 7.45067521e-12]\n", + " [-2.02847248e-12 7.45067521e-12 6.13579643e+03]]\n" + ] + }, + { + "data": { + "text/plain": [ + "613579.6671739953" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_dict = calc_static_with_lammpslib(structure=relaxed_structure, potential_dataframe= df_pot_selected)\n", + "strained_dict = calc_static_with_lammpslib(structure=structure_strained, potential_dataframe= df_pot_selected)\n", + "\n", + "print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + "print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + "diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "# C11 = diff[0, 0] / 0.005\n", + "# C12 = diff[0, 1] / 0.005\n", + "\n", + "sigma11 = diff[0, 0]\n", + "sigma33 = diff[2, 2]\n", + "\n", + "C12 = (sigma33/ 0.005) /2\n", + "C12" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "cc09eeb0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "614754.4955247561" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sigma11/ 0.005 - C11" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "8b268cdf", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "614754.4955247543" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sigma22 = diff[1, 1]\n", + "sigma22/ 0.005 - C11" + ] + }, + { + "cell_type": "markdown", + "id": "aafefd47", + "metadata": {}, + "source": [ + "#### Calculate C44" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "22a5e5d4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "66.43035441556098" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure.get_volume()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "1ad41d90", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[[4.050004662201837, 0.0, 0.0],\n", + " [0.0, 4.050004662201837, 0.0],\n", + " [0.0, 0.0, 4.050004662201837]]" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure.get_cell().tolist()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "0731affd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[4.05000466e+00 0.00000000e+00 0.00000000e+00]\n", + " [0.00000000e+00 4.05000466e+00 2.02500233e-03]\n", + " [0.00000000e+00 2.02500233e-03 4.05000466e+00]]\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Al4', pbc=True, cell=[[4.050004662201837, 0.0, 0.0], [0.0, 4.050004662201837, 0.0020250023311009185], [0.0, 0.0020250023311009185, 4.050004662201837]])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "structure_strained = relaxed_structure.copy()\n", + "relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + "F = np.eye(3,3) + np.array([\n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0.0005],\n", + " [ 0, 0.0005, 0]\n", + "])\n", + "\n", + "strained_cell = F@relaxed_cell\n", + "print(strained_cell)\n", + "\n", + "structure_strained.set_cell(\n", + " strained_cell,\n", + " scale_atoms=True\n", + ")\n", + "\n", + "structure_strained" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "50f40925", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "66.43033780797236" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "structure_strained.get_volume()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "a0ece7ec", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "eb1154d4437f492287fcd14918dd9171", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "516d8d2507f2462aaa2d59933f0d0f9f", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "NGLWidget()" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from structuretoolkit.visualize import plot3d\n", + "\n", + "plot3d(structure_strained)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "c598b3e8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Relaxed stress:\n", + " [[-2.43580132e-04 2.02497379e-11 2.52703340e-11]\n", + " [ 2.02497379e-11 -2.43580106e-04 2.62291021e-11]\n", + " [ 2.52703340e-11 2.62291021e-11 -2.43580114e-04]]\n", + "Strained stress:\n", + " [[ 4.10367247e-01 -3.37954779e-11 -1.97645834e-11]\n", + " [-3.37954779e-11 3.47506713e-01 -3.15961812e+02]\n", + " [-1.97645834e-11 -3.15961812e+02 3.47506713e-01]]\n", + "Stress difference:\n", + " [[ 4.10610827e-01 -5.40452157e-11 -4.50349174e-11]\n", + " [-5.40452157e-11 3.47750293e-01 -3.15961812e+02]\n", + " [-4.50349174e-11 -3.15961812e+02 3.47750293e-01]]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "-315961.8121188986" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_dict = calc_static_with_lammpslib(structure=relaxed_structure, potential_dataframe= df_pot_selected)\n", + "strained_dict = calc_static_with_lammpslib(structure=structure_strained, potential_dataframe= df_pot_selected)\n", + "\n", + "print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + "print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + "diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "print(\"Stress difference:\\n\", diff)\n", + "\n", + "sigma23 = diff[2, 1]\n", + "\n", + "C44 = sigma23 / (2 *0.0005)\n", + "C44" + ] + }, + { + "cell_type": "markdown", + "id": "49018633", + "metadata": {}, + "source": [ + "### Combined function" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fc5abe51", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation(structure : Atoms, potential_dataframe : pd.DataFrame, elastic_constant : str, deformation_gradient : np.array, strain : float):\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_static_with_lammpslib(structure=structure, potential_dataframe=potential_dataframe)\n", + " strained_dict = calc_static_with_lammpslib(structure=structure_strained, potential_dataframe=potential_dataframe)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + " # print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + " diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "085147e6", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants(structure : Atoms, potential : str, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "a0c86f48", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "[1145843.555110171, 613579.6671739953, 316998.27964768995]" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calculate_elastic_constants(structure=relaxed_structure, potential=potential_name, strain=-0.005)" + ] + }, + { + "cell_type": "markdown", + "id": "e056ce43", + "metadata": {}, + "source": [ + "## Finite Temperature Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "e4744a71", + "metadata": {}, + "source": [ + "### Equilibriated lattice constant\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "markdown", + "id": "680abebc", + "metadata": {}, + "source": [ + "#### NPT simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "4970a399", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[0;31mSignature:\u001b[0m\n", + "\u001b[0mcalc_molecular_dynamics_npt_with_lammpslib\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mstructure\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'Atoms'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mpotential_dataframe\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'pandas.DataFrame'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mTstart\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'float'\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m100.0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mTstop\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'float'\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m100.0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mTdamp\u001b[0m\u001b[0;34m:\u001b[0m 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\u001b[0moutput_keys\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'positions'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'cell'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'forces'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'temperature'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'energy_pot'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'energy_tot'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'pressure'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'velocities'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'volume'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;34m'dict'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mDocstring:\u001b[0m \n", + "\u001b[0;31mFile:\u001b[0m /cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/libcalculator.py\n", + "\u001b[0;31mType:\u001b[0m function" + ] + } + ], + "source": [ + "calc_molecular_dynamics_npt_with_lammpslib?" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "2bfa5c1c", + "metadata": {}, + "outputs": [], + "source": [ + "structure_repeated = relaxed_structure.repeat(5)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6f6eddbe", + "metadata": {}, + "outputs": [], + "source": [ + "npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=500,\n", + " Tstop=500,\n", + " #Tdamp=,\n", + " run=10000,\n", + " thermo=100\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "52c84f3b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['positions', 'cell', 'forces', 'temperature', 'energy_pot', 'energy_tot', 'pressure', 'velocities', 'volume'])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "npt_dict.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "12c1c039", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(relaxed_structure)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "b7981ee0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.plot(npt_dict['temperature'])" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "4a79f1a9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.plot(npt_dict['pressure'][:,0,0])\n", + "plt.axhline(np.mean(npt_dict['pressure'][:,0,0]), linestyle='-')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "c10f00a2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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chMNhZLNZ3HHHHbjooov4MZ/85Cfxmc98BjNnzsT777+PW265BSeffDJWrVqFeDwOAPjsZz+LWbNmob29HevXr8dNN92EdevW4YknngAA7NixA21tbQWf39bWhh07dijHtnTpUnzrW9/y83XKgmUneTFI5JBTJpdDjDTVBEEQBFEWvoyYRx55BMuWLcNDDz2EuXPnYu3atbj66qvR0dGBSy+9FABwwQUX8OPnzZuHo48+GjNnzsTvf/97nHfeeQAsPYx4zAEHHICjjz4aq1evxpFHHgkAMIzCcItpmsrXAeCmm27CNddcw//d19eH6dOn+/l6vvDVdoA8MQRBjCLe2NaH+ngYM1vqqz0UgigLX0bM9ddfjxtvvJFnEs2fPx+bNm3C0qVLuREjM2XKFMycORNvv/229rxHHnkkotEo3n77bRx55JFob2/Hzp07C47btWsXJk+erDxHPB7nnp69gZ/sJNloyVKtGIIgqkTfSBqf+slfMakhjr/eeHK1h0MQZeErpjE0NIRQyPmWcDjsSLGW2bNnDzZv3owpU6Zoj3n99deRTqf5MQsWLEBvby9efvllfsxLL72E3t5eHH/88X6GXDGiPrKTZN0MZSgRBFEtugdTSGVy2NY7DNOkDRUxtvHliTnrrLNwxx13YMaMGZg7dy7WrFmDu+66C1/4whcAAAMDA/jmN7+JT3/605gyZQo++OADfOMb30BrayvOPfdcAMC7776L5cuX44wzzkBrayveeOMNXHvttTjiiCNwwgknAAAOPvhgnH766bjssstw//33A7BSrM8888xRkZkE2J4YL9lJcm0YqhVDEES1YJsq07TmIpakQBBjEV9GzD333INbbrkFX/nKV9DZ2YmOjg5cfvnluPXWWwFYXpnXXnsN//Vf/4Wenh5MmTIFn/jEJ/DII4+gsbERgFUz5qmnnsKPfvQjDAwMYPr06Vi8eDFuu+02hMNh/lnLly/HlVdeiUWLFgEAzj77bNx7771Bfe+y4dlJnjwxkiaGwkkEQVSJVMaef1LZHN+QEcRYxJcR09jYiLvvvht333238u+1tbV4/PHHXc8xffp0PPvss0U/q7m5GcuWLfMzvL1KNFRanRjr32TEEARRHcTwdiqTQ11hLVKCGDOQCV4idp2YUsJJpIkhCKI6OIwYD9mVBDGaISOmRHiKdSnhJPLEEARRJVKSJ4YgxjJkxJRIxE84SdrtkCaGIIhqIW6qyIghxjpkxJSIn7YD6Rx5YgiCGB2IhguFk4ixDhkxJeKn7UBWmihIE0MQRLUQN17pDG2oiLENGTElwjwx2ZxZtGCUbOh4EQP7wTRNjKSzgZ6TIIjxiVPYS/MGMbYhI6ZEokLl4mJGifz3oIvdXfs/6/DR7zyJzv6RQM9LEMT4QwwnJUkTQ4xxyIgpEbHKZbEMJTl8FLQmZvWmbvQnM3h750Cg5yUIYvwhbqqC9goTxN6GjJgSEY0Yv54YL52v/cB2VskMuYYJgnBHLnZHEGMZMmJKRAwnFTNKKl2xl2UY0IREEEQxyIghxhNkxJRIKGQg38i6qFEi/z1oTUwyzTwxNCERBOFOioS9xDiCjJgyYI3TitWKkYvbeakt44dklowYgiC8IXpfKMWaGOuQEVMG0ZCdZu2GHG4K0hNjmqagiSEjhiAId8RNVJKK3RFjHDJiysD2xPgLJwWpiaES4gRB+IHmDGI8QUZMGXhtAimHk4LsnSTGtyk7iSCIYjjCSeSJIcY4ZMSUgdcmkOmcHE4KbuJw9EGhXRVBEEWg7CRiPEFGTBl4bQIpa2CCDCdR9U2CIPxARgwxniAjpgyiYW9NICsaTiJPDEEQPnBoYiicRIxxyIgpg0jImydG/nugnhihzgMZMQRBFCNFnhhiHEFGTBmw7KRinhUWTuLF8QLc/YykSdhLEIR3HN5b8sQQYxwyYsrAa3ZSOm/E1ETD+eMrk51EuyqCIIpBmhhiPEFGTBnY4SRvxe6YERNksTsS9hIE4QfRiKEUa2KsQ0ZMGXgNJzHPS00kXxyPUqwJgihCZ/8IXt/WG/h5xVYDNGcQYx0yYsrAe7E7yRNToewk8sQQxPjhsgdfwZn3PI/tvcOBnpdC0MR4goyYMmDF7ry2HYiTJoYgCI9s6R6GaQI7ekcCPa9DE0PhJGKMQ0ZMGXBPjMcu1jVRVlemMuEkyk4iiPED86wW2yT5hYS9xHiCjJgy4J6YYsXu8kZLTYSEvQRBeINtSoI2NCpZ7C6TzeG/X9mMD/cMBXpegtBBRkwZREr1xAS4sxK9L7SrIojxQTZncmMj6AyiSiYDPPfObvzz/76K23/3eqDnJQgdZMSUQdRvdlIFNDFJ8sQQxKimbySNX63agv6RtOf3VLIgXaqCKdZ7BlIAgM7+ZKDnJQgdZMSUAa8T4zM7qVLCXjJiCGL08bPnP8C1/7MO/7Vyk+f3VNLDWklNDDvfQDIT6HkJQgcZMWXgtU6MXbHXOj5bsToxJOwliNHG7gHLK7G1x3uqtLghCdpbkq5gOInNQYNkxBB7CTJiysBrdhIT8sbzwt4gsw1I2EsQoxv2jPYOew8nJdMVNGIcwt5gM5+YZ3gwSRsqYu9ARkwZeM1OSu+ltgOpbA6mGeykRBBEebCFvc+PEVOhcJJpmlJtqWCNDTbWwVSG5iJir0BGTBmUXiemMpoY0wy+pgRBEOVRkifGsTkJ7pmW557ARcP5cZsmMJQibwxReciIKQOWYl3McMjK2UkBThzyLo0qcBLE6IJ5VUr1xAQZTpLPFbQmRjS+SBdD7A3IiCmDcMhbBd40L3ZXAU+MNAkl07T7IYjRRLIET8xIujLiW7H5IwDkzGDD26IRQxlKxN6AjJgyiIZYOEk/CWRzJlhouBKaGFnMS54YghhdMCOkb8S7TqRSnphktnCTE6SRJM4/JO4l9gZkxJQBS7F2CyeJXppKhJNkI0bMaiAIovqwhT2bMz17J8TnOMiNCZur8vsv6/xBGjFiOClFnhii8pARUwZc2OsSThK9NJUW9qr+TRBEdRENkr4Rj0ZMhWq5sBoxtfkNFRDsnJEiTQyxlyEjpgwiHsJJ4t/iFUmxzkr/JiOGIEYTopHQO+RNF1NpYW8sEkIsr9GrlBFDmhhib0BGTBnY4SQXT4wYTuLF7iqXnZSkqr0EMaoQn1Gv4l5Hxd5M8J7baDiEeH7+Ik0MMZYhI6YM7HCSmybG+ls4ZCAWsY4P1BOTlY0Y8sQQxGiiJCOmwpqYaFjwxFRKE0OeGGIvEKn2AMYyvGKvyyTD/hYOGUJKdgVTrMmIIYhRhWiE9HnsZO2o2FuhcBLbTFXKM0zhJGJvQEZMGbBid26eFfa3aMjwpKHxS0GxOzJiCGJUIdZu8lrwzhlOCl7YGwuHkI2YBZ9VLskseWKIvQuFk8og6qGLNXPfRsIhbvQE6YlhE1BDPOL4N0EQowOHsLcEIyZITwwzMqIRoyLhJNFgoxRrYm9ARkwZMM9K2i3FOv+3iOCJyRap8OsHNgE11kQc/yYIovrkcqajjpR3TUyFspMytrA36iExwS+iwTVAwl5iL0BGTBl48cRkuCdG0MRUIJxke2Jo4iAIvyQzWdz1p7ew5sPuQM8re1FKCycFN1+QsJcYb5ARUwZ2A0g3T0zeiAmFbE1MkOGkLHliiH0D0zTx1YdW41uPvR74uf+ycTf+/c/v4PuPvxXoeeXwbinhpGQlhL1iijUJe4kxDBkxZRDxkG3EWgxEwoagiQlm0jBNUwgnRQGQJoYYv2zvHcHvX92On7/wgeceRF7pGUoBALoGU4GeV95UeDdihHBSBeq4RMOV0cSkSNhL7GXIiCkDXifGkyfGQDhgT4wYaydPDDHeGcoLRU0zeGN9OK9BCVqMKns5SqkTU4mKvZYmxpqPqO0AMZYhI6YMPDWAFGLQ0bznxjQtwV+5iJMPM2JIE0OMV8QKsCPpYO/z4VS24DOCQN5UlNQ7qRLC3kjlNTEk7CX2BmTElIGtcXEpdpcTit2FjYLXy0GcMJiwlzwxxHhF9JKMBNytfShvxASt4xht4SS24YqHQ4jl26AENWfkcqbDyzxaPDEbtvfhqQ07qz0MokKQEVMGXrKTsmKdmJBtxATReoBNPpGQgZp8c0nSxBDjlYp6YvLnS2VygYZvmDEihnu9jN3pialM76Soh8SEUs7NGE5nA22xUipfXb4aX3zwFWzuGqr2UIgKQEZMGXjLTspPGiGDC4Gt18t/uNkEGYuEEK+Aa7hUNncN4TP3vYA/vb6j2kMhxhFDoicm4LApCycBwXoQ2PM4sS4Gtofx4o1x9E4K8LumeDjJCHzOUG2ghkZBwbvtvSMAgJ19I1UeCVEJyIgpg6iH7KS0UCdG9MQEUSuGTT4xIb49GjwxT23Yib990I3/fmVztYdCjCOcnpjKhJOAYENK7BmNR0JoqrUyCL3UinGEkwL0xIjC3ljAKdbimFkSQ7U7WWdzJveyUcr3+ISMmDLgKdNu4SShTkwoZMDI2zFBpFkzgyUWDiEecHy7HPbk01SrPYER4wuHJybwcJJ97iDv26TQcDGRN2I8eWIqJewV6sSwcHhQc4a4qaqPWfNRtQ0HUUdV7bEQlYGMmDLg4SQ3Ya9QJwawvTeBaGLy545HRU9M9Q0HVmtjKOCFhti3qaQmplKeGBYWipdhxGRzZmDaEmXF3qA0MYLXiSUaVFvcK37+gMfMMGJsQV2sy0BMmc7mTO5CFREr9gJ5N2s24HBS2NbEjIZwEjdiaOdDBMhQBbOTKqaJETwx9XnPhzdNjNNIS2dzCIfCgY0nGg7BhDUHBeaJydpGTP1oNGJoPhqXkCemDCJiyrRmN8Mr9uYNnCBbD9ju23DFNDHf/t0b+P7jb/p6DzdiUuSJIYJjsKLhpMoKe2ORMJpq/GhinM9xUN6StCDsDbpOjLipYkZMtQ0HsVZNtcdCVAbyxJQBiykDeqOEe2LyBg/73yA6WYsx6EpoYnqGUvjp8+8DAK74xAGojXnbCTIjZpjCSUSADI3BcJK4sDfxcJL7+TPZXMF8ElStGFETI79WLuJ8xMNJVc5OEg3SanuFiMpAnpgycGYb6TwxdgwaAO9kHUTGAXffVqgjrTiZ9494K9IFAN1DzBMT/KTx8vtd+MLP/4ZNewYDPzcxuqmoJ6bEcFL3YAor1m/XPncsPToe9a6JUXldgspQYucRMxqD1sTEIiHUx5mw19vvlMxksWF7X+A9sQYonDTuISOmDEQNjG6SESv2ArbhE2SxO7FOTJDCXnFi7/NoxORyJrqHrGNH0rlA2iuILH9pE/78Zid+9+r2QM9LjH5Eb8lIhXonAcCgjzDo9//0Fr68bDX+uF59P7KwUDzs3YgRa8RUqpaLI8U6qHOL+h+fmpilf3gTn/zRc/jzm52BjIXh1MSQZ3g8QkZMGRiGYTeB1ISHstwT4wwnBV3sLuhdFeBcNLz2fOkdTjsMtKBDSmwB2D2QDPS8xOhHXJCCDyeVFnbY0j0MQF9ITdxoNNVaC3uxDYFtaNiVuAPTxDgq9garoxNDZ36zkzbu7AcAbNoTbFVdZ3aSd28yMXYgI6ZMWNaRLtsoLWUncWFvAJOSMjspwKwNhxHjsedLVz6UxAg6Js7GwXQ3xL6DwxMT4H2ey5mO8/kxYtj9qBtPqoQ6MWxzEo+EuaERlG7FNmJsYW8lNDF+hb3cextwiQjR+zJa6lZ1D6bwg8ffqkhI/J3Ofvz46XccXvTxDhkxZVKs9QAzVlg4KRxgdlJSEU4K0hMjFgDz6omRjYugHyY2DjJi9j0qpYmRF04/YQfmVdGNR9xoJDxW7OUhqAq0ExGFvUHr6JJCJpZfT0x3/nkOOnVe/Pz+UaKJefhvm3Hv0+/gvmffC/zcdz2xEd9//C387tVtgZ97tEJGTJkUS5lmoRUWTmI7q0CL3QnZSZXyxHgV9srGRdBp1uSJ2XcRs5OC1H7J96g/T4x1rG7x5QaJD2GvWCAv+CaN5RW7cxu7I8U6n8no1fvBkgHk+jjlMjAKs5M+7LI8MF2DwYfEd/Vb59zWs+/0iSIjpkwiRdy9aaGLNWB7YoKYlFS9kyqmiSmSFsqouBEzQkbMvoroiQnSwyefy08IlHtiNEaV3RrEe50YHk6K2uEkr8/1rv4kTvz+0/jmb19X/t2uE2MLe9MZbxuqp9/qxGHf+hPuf/Zd5d95JlYkhDof4aThVJZfp6C1TqOx2B3TUfVXoIIwm6d3DZARQ3gkGnLvn8QEv3Kxu0plJ2VzZiB6G8A5uZfqiQlysUlmsnzHu2cwFXg6JoCKnJMon0w25/B2BBl2kMXnXhe7kXSWP4NFw0mCJmYwlXXdxIwInhi/IZ/frtuGTXuG8MQbO5V/V4aTPM4XazZ1AwBe29qr/LvoGfYTThJ1dIGHk0Zh76StPRU0YvLzNPPI7Av4MmIymQxuvvlmzJo1C7W1tZg9ezZuv/125ITMnM997nMwDMPx33HHHec4TzKZxNe+9jW0traivr4eZ599NrZs2eI4pru7G0uWLEEikUAikcCSJUvQ09NT+jetEMzDostOktsO2MdXpos1EJw3ZqiEFOtCT0xwD6roDUplcr5SYb1w2/+tx8I7n0bvEGUxjDbkPlxBCkBLDSeJz4QujCsKe1mxO8DdG5MUPBq2sNfbfPH4+h0A9FmB3IiJGL5TrHcX0a2UKuztFuaMSgp7U5lc1RvkmqaJbXkjphJGFbuvyIjRcOedd+K+++7Dvffeiw0bNuB73/sevv/97+Oee+5xHHf66adj+/bt/L8//OEPjr9fffXV+M1vfoOHH34Yzz//PAYGBnDmmWcim7VvuIsvvhhr167FihUrsGLFCqxduxZLliwp46tWBlvYq/HESA0gw0U8N35wFLsTKnAGpYsZFgwQr7uGSoaTZEOqayDYkNIf1u/A1p5hrN+m3mkS1WNI0lYEGXaQDW2vOg7RqNZ7YmyDJBwy0Jhf3N20JbawN2yHfDxsTHb1J/G3TV0A9B7QlFAnxm+KNXvevHidGvLF7rw8/90OT0zlwkmqf+9tugZT3Aj0U0DUC5msvbHbtQ+VoPDVdmDlypU455xzsHjxYgDAfvvth1/+8pd45ZVXHMfF43G0t7crz9Hb24uf/vSn+MUvfoFTTz0VALBs2TJMnz4dTz75JE477TRs2LABK1aswIsvvohjjz0WAPDAAw9gwYIFeOutt3DQQQf5/qKVIlokxZq9Xtg7qXxDgxkrsUgIkbA1SWZzZmU8MV5TrCtpxEhj2DOYxIyWukDOnc2ZfOw95IkZdcg6lSDDDmzhrI+FMZjKet4hi0Z1UU1M3lPaVBtFfzLjmu2XFKr8suimFw/Ckxt28uNHMlmYpgnDcDalFYW9ftO39+SFqDpDIymEqvwUu+sWnrdKZicBlvdjYn0s0M/wAwslAd4zPr0ibjQ7+5LK33884ssTs3DhQjz11FPYuHEjAGDdunV4/vnnccYZZziOe+aZZ9DW1oYDDzwQl112GTo77SqMq1atQjqdxqJFi/hrHR0dmDdvHl544QUAlrGUSCS4AQMAxx13HBKJBD9mtMA9McXCSWFnOEmnifGjyRBd1YDdDyUoT4zowvfriWE7zkDDSdIYuoeC88R0D6X4b9IzTKLh0UZlPTHWuVob4wCshc/Lcyh6U4qFWOKCESO/V0aVneRlY7IiH0oCANNUe1jEYnd+07f3ME+MxmBzhJNiJYaTAvbEyPNWJXQoftgmGDGpTC7QLDtHeDOTGzUp5ZXGlxFzww034KKLLsKcOXMQjUZxxBFH4Oqrr8ZFF13Ej/nkJz+J5cuX489//jP+7d/+DX/7299w8sknI5m0rPgdO3YgFoth4sSJjnNPnjwZO3bs4Me0tbUVfH5bWxs/RiaZTKKvr8/x396Aa1yKCHt5xV6XcNIL7+zGUd950nOOv5jSCFg7NwBIZYN5MEppO8CMmKkTawvOUS4FnpgAw0liBeBKeGL6RtJVd2WPZWRPTJDd2pkRM6nBMmIyOdPT+fscRkzxOjEAkKj1F07y6i3pG0njhXd3O15TjUkU9vrNfGLPSLFQldgAMpnJFU00cISTAtasyPdNtRtSsswkxkCARpWcQbqv6GJ8GTGPPPIIli1bhoceegirV6/Ggw8+iB/84Ad48MEH+TEXXHABFi9ejHnz5uGss87CH//4R2zcuBG///3vXc8tu75UbjA399jSpUu5CDiRSGD69Ol+vlrJRItU4GVaGS/F7v767m50Dabwf2u9GTFicSnAniiDcsmKXhS/KdbTJlphHlmQWQ4FmpgA06zFB95tgfnP597Dx773Z2zu8l4efSSdxck/eAaL//05yn4qEXYvsucnyB07W5Rb80YM4C0MInoGtUaM5C31UitGFPZ6zU56+s1OpLMmPtLWwDdMKnEv98RE7Iq92ZxZNFsylcnx7+tH2AsU1xiJnpig68Sw37ElH0IK0mgoBbl+S5CeIVljQ0aMguuvvx433ngjLrzwQsyfPx9LlizB17/+dSxdulT7nilTpmDmzJl4++23AQDt7e1IpVLo7u52HNfZ2YnJkyfzY3buLEwR3LVrFz9G5qabbkJvby//b/PmzX6+WskU64XEi93ltTNsgskqwk9sEtiw3ZsXSUxpBERPTPCaGC8itOFUlk+c0yriiXE+8EEaMU5PjP68j726HZu7hrHyvT2ez72zbwS7B1L4YM9Q4BkJpmni969u92VUjUXYQjixzjICguzJxc5VH4+gNuq9SFufr3CSdV4vtWJ4OCka8izsffx1y0N9+tx21OQ/Sx6TaZp8UyUWu/NyftFboguBJAWvU0yoQzNQxPvh1MQEW5KBfd+2phprLFX2hm7tcT6nQRox8iaPjBgFQ0NDCIWcbwmHw44Ua5k9e/Zg8+bNmDJlCgDgqKOOQjQaxRNPPMGP2b59O9avX4/jjz8eALBgwQL09vbi5Zdf5se89NJL6O3t5cfIxONxNDU1Of7bG0SLpFinC7KT9CmTbBLY0j3sKXyTEhpAAsFrYkQDZDCVLeoWZvUeomEDkwR9QVDI12RPkEZMv30ut3ASM3D8GFDiJB10qGrle3vw1YdW418eXR/oeUcbzBPTUm/dV34XOzdtFjPW62JhX6nBTg2CN2Gvl9YD6nCS3lMyks7i6Td3AQBOn9eOmny1XHkDIZ5DNDLEz9QhGvnFwklsU1UfZwZhMSPGfpaCNE5FQ3Ryk3XfVN+IcYaT+pPBzQcUTvLAWWedhTvuuAO///3v8cEHH+A3v/kN7rrrLpx77rkAgIGBAVx33XVYuXIlPvjgAzzzzDM466yz0Nrayo9JJBL44he/iGuvvRZPPfUU1qxZg0suuQTz58/n2UoHH3wwTj/9dFx22WV48cUX8eKLL+Kyyy7DmWeeOaoykwBb46JPsXaGk9yK3Yku47d29Bf97JQ0QbLdXiU8MUDxCYC5hZvrY6jLT6RBhpOYC35KwtpVBRpOEj0xLgsM+8w9PlIYxUk66ErDW7qsSXGbNDmON9iC1JwPC4ykc55Dcy+8sxvzbntcW2mWlRKojYV5arAX7YQzxbp4iAUoPZzkZmT8ZeMuDKezmDqhFnM7mrg3STYIRG+LpYmxQ/PFwlWi/kynW5FDZ14Nwu4KFbtjxlON0PKh2ro0Fk5ibRkq6onZR9KsfRkx99xzD/7+7/8eX/nKV3DwwQfjuuuuw+WXX45vf/vbACyvzGuvvYZzzjkHBx54IC699FIceOCBWLlyJRobG/l5fvjDH+JTn/oUzj//fJxwwgmoq6vDY489hnA4zI9Zvnw55s+fj0WLFmHRokU49NBD8Ytf/CKgrx0cxYS9du8kqYu1wogRJyovIaWC7CTeyTogYa90nmK6GOYZmVhnGzGVEPbOzKdVBxpOEjUxGm9JOpvjk44fL5AY8w8yowqwvV/F+vGMdZgnpbnBTo/1Ku598f0u5Exg1aZu5d/ZfV4bLd0To007loW9dV6MGDE7qXg46fHXrdD7aXPbYRgGN2LkMYmGSjQcgmEYnsNVe4Q+P9mcqTxeDp15rdrbPViZcBL7DRviET6WamYnDaUyfM46sL0x8PHI3r19xRPjq05MY2Mj7r77btx9993Kv9fW1uLxxx8vep6amhrcc889BUXyRJqbm7Fs2TI/w6sK0bB73Ze03HYgrBcCp/waMWzSYNlJPsuI/2bNFkybWIeP7tes/Lvsgi8W4mINzVoaYqiLVS7FelZrA158r6uCnhj1ecVQUKnhpKCNGGYgjTUj5ifPvINlKzfhkcsXYHpz8Vo/rIhXq1DjI5nOoSYa1r2Fs6PXvcy7KpzkSdgrXPNMvt1HJOzcF6aEmi+AoIlxeZZsTUyY115Jawy2dDaHJzcwI8bSC9bkP6swnGSdI2TYnuFYJIRUtnglWzkTcDid5QYWQ/Y6eb2WTr1NLrD6Juxz6wUjppqeGOYtbYxH0JGoxRr0YCDAgndsfpzcFMfOvuQ+Y8RQ76QyibhoXACh2J1csVfpibEnnTe2Fw8nyfF2P31WVm3qwtcfWYevP7JWewyb3JkBVtyIsf7eXB+vqCdmVmvwnhjxgdfpVnpKDAuJ7xN3nUHAxpHK5HztYvtG0vmMluqUYX98/Q5s6x3BYx7LCQzlF59EbdTOUPJYY2N7r+XC1+kP2D1qhZN8GDGSUaQKsxR4YnyGk+JF0qBfeq8LvcNptNTHcHR+M8IMO/n6pIQaMQyvdWhkz6PqXhOL3QFiOEn/O42kswVhazcPmx9NCzu2PmYbMbr3m6ZZcQNnaz6UNHViLRpr3D1DpmnirR39/p7p/D21/6QGAEBnwEbMPU+9ja8sXxVYb76gICOmTNw8K4CidxKr8Kvw3CQdmpg+T2mPQKEmxoubnbmg3ax1NrkzkW4x1yfzxDTXRVEb81523CvMiNqvpR6ANSEFVSxq94BzN6iaPESPip8aNeJO0y3zqRTEc3utqgwA//b4W/j8z/+G33pM5w8adi+tfNdblhfzxNTFI6iJsFIC3n77HXkjRpdey+5RZzip+Ln7pestj8c0zYIMQk/F7nyEk1hW0qK5k7lxV1tE2CsKer1ufGQNmCp5QJ6PGjwIe9mGISQ4XnS/6yN/+xDzbnsc/7d2q+tYGUxH1RCPFA0T3vTr13DUd57Ak5rGmUGwNV8jZuoEwYjRjOfF97pw2t1/wc0+BPtsfmRGTNCemPv/8h7+8NoOvKppAFotyIgpE952QGNwyL2TvGpiRtI5bNoz6PrZhUaMtwnJNE0++SU1TdFSmRwf4+R8emKxRdLpiWHhJP1isGcg6aubN9PkTJtYx69jEN4Yq+WA84FXeWPEz9oz6EfYK4ShgtbECGPyE1J6b7d1b72zayDQ8XiFeTFe+aDbkzeIhSXrY2Hb0+BRBMqMGJ0RzjQxdbGIp4WXIXsm5cU3kzN5G4ACYa9Llho3YqJhwchQPydsQfnYAZP4azpNjF0jRmHEFPPEKMJJMnK2pJeqvcwIb66PCTWA1GNZu9n6rmzuKoYdTgqjocZ9LC9/0IWRdA5X/HI11nyo1k6VC0uv7phQi4a4dR/oSle83Wl54t/Y5r1oK5sf959kbfK6Bv3Nr26kszl+7T7Y7b4u7W3IiCkTuwGkR08MazugCD/JxsSGIiElWUgX55kM7rvItzsHsGmPXa9ANWGLuziWnlis1wf3xNRH7ewkjSbmnc4BHPOvT+Ga/17rek4Rtmgk6qK8/0kQVXu7BlPImYBh2IuMShfTI2VReNX7OIW9wYaTxPN5raoMWL1VAKuGTTVgk/dwOotXt/QUPZ55RupiEcGI8eAtGUnz3a7WiOHhJLtcfjEjxjTNAqG7vPiKz7PdO8negec0C4yqi7XOyGCZVQmhQ7YuO8lu/mi7Pbx2st7tIZyky05yu5bMiJlYFyvqYWOvr/mwx3WsjAEfmhj2jI6kc/jig6/g/Qos1Nt8hJPYJqqz3/vzyT3VrfUIGUDO9LfZckPcIJERM86IFslOYmEjP56YqROsQnHFxL1JTXZSsQnpCcllqtqdDKUzfLwtDSyc5L5IdgueGDaR6jwxb+bDZV4npJF0ln+vppoImussIyYIoSyrgdFcF0NLPvtFtVOWvSheDShnnZjR4YlhQuZqiP+snjH2Pfrie11F3zMk7KqZSNZLTRHRSEtl1b1qmDFaGy0edmCMpHN80WYLpFs2kKyJMU19KMHunRTmXhOdsJcZTkzMC1geHPFvjLRSE+NtzpA9lSpvidxiwYu+iM0ZE+tiWi0Pg/1O23tHuHfNjUGP2UnZnMnLKsyeVI+uwRQu/f9eDvzZYOGkjgnFjRg2r+0eSHnubcU85RPrYmjO11MK6juInun3yIgZX/A6MboGkKxCZt4TE3bpYs3csYdNTwBwN2JM0yzsneShpgQA/ElyxyqNGEHsyB644inWzBMT44tBMpNTujTZw9vZP+Kp3gfbZYQMy03N6oUEEU5iRsykxjgmcE9MoUEgh5i8plk7BcHBeWIy2ZzDcPFqxKSzOX7dquGJkY1hL7oYromJRbThEhVeyryzBbnOh7BXvB/ZvSgbSOw5DIcM7oGNR8Lc4NCFZ+1wki3s1Xl62TVg3lhA74nhmhghnMTmjKIp1nmDndU3URmQopYHAOryoTk3fRH3xNRHi4YJh4XX124uHvJhlYLrBU2Mqv5Pz1CKh/0e+sfjML25Fh92DeGLD/4tULEvK3Tn0MRoNobiJsprvRfmKW+qjaKtMVgjplfwTH9QROawtyEjpkyK1YmReyfZbQf0npjDpk0A4G7EyNU3xf91s9y39w5j3ZZeR+jELZxUFwvztNBinpguRbE7QD3hsQl8JO2t2yo7vrEmilDI4PVCgggnsQe9tSHuqlmQDSZ5d6qjUsJe2dBy01mIiNdsZ5/+O2ztGcbNj74WeEsD2ZB4ZVNX0d0m18TE/Wli5B27yohh53ZW7HU3kNj92FQbFYwqdTgpJqUiF8tQcoSTIu7ZQ8yIqRWet9qYOsVaNR4vc8ZQKsM3NawnmjKcVCDsLV5moVuoLcU8bDrjdFg4z5rNPdpzMsQUa2Y0qMTd7PlM1EbRnqjBg58/BhPronh1Sy9u++3rrp+xvXfY03OXyeawI79hmDaxFo35OVXn8RPnDC8bjWzO5OdqqonwZIxKeGI+2D00qnrAkRFTJtEi2UlZqYu1W9sBNgkcNn0CAGBb74j2AREntbiP7CSmvj9yxkTe30hlRAwJO98m5olxMWJEl2xzfQzxSAis1INqEhMXk04PD2nvMNtlWGNpqYAnprUhhgn5MFUxTQzgzYAaTmUdi5tb+Gv91l48//Zu7d9luqXvXkyzxBDj7L3Dae2i8fO/vo9lL36I7/z+Dc9j8gL77dsa42ipj2EkncO6IrqYQYcmxpv2C7DTq+3PLryH2b1eEw17LpXPnoWmmigfT0E4KesUujKK9U9StR3QGRksrVusl1NU2KsKJ7l4Yth9Ho+EeLjVixHjTdhrXYMJdTGh55MunGS/7iUMbWcnifV/Cs9tJyRY3232pAb84DOHAXD3EvaNpHHyD57Fp+97oehYdvZbItto2MCkhnhxTYxwb3iZH0XjrLEmahsxAVXtFY2YgWRmVFUDJiOmTHidGG12EqsT46zYq2w7kJ9IWhviti5mh9obo4q3eylR/qe8EfN3h0x2dZ3bOoEwTwt1S7EWXbIT6qIwDAN1TBejmDjExaTTxRvA4KLe/FjYhBNE/ySWXj2p0fbEqLKT2ITLvExePls2WkbSOWXtHNM08Q//38u45Kcv4cdPv+Np3LIB5zWcJO/OdLu1zfmWBk9t6HT0zikX9ts31UZx3OwWAMCLRUJKdnZSpOhiJ7Kjz9mOQd6JZ3Mmf14c4aQiou0+wajWaVDk8AqjqCcmbb8v5mJkZHN2SLlG+IwanbA369xQAd48Mew+b6mPaUXVuZzJdX5sM+VH2NtcLxqDunCS/ZmvbektWq9EJexV6aJEDzKDpSm7PVObu4YwnM7inc6Bop5EVuhuSqIWoZDBPTHFhL1AoTdRBZsfa/MZbcyI8TK3ekH2+n6we/Q0nCUjpkyK1YnRVuxVhZOEyevgKU0A9CEl9iBGQgZC+XMXy07qHU7zncUiwYhRuVjFcFKjB0+M6JJlu7talzRr0WvgpSgTd9/nH37bE1P+QyqGkybU6TUxzPPBJjgvXiB2XVob4vweUHlj+obtkuTff/wt/ODxt4q6bOXzlGrE6DIgtucr3WZyJh5d4602hxeY56+xJoLjZlsF2ty6gudypu0Z9BlOkj0xBQXqhIWxLuZd2Csa1bqFXS5GyfAaTqqJhmxhr2J+EZ9z0ROjG4/KE+NmJDHsStxxfehM7MskhZPcOoKze3iCIOzVzV+i8T+czuKtne7ZmyphL1A434kZUgw2DwwkM1q9UK+PCt5ijRg2JnZ+VZaa6PXd6WF+7OXhduu8kxqC9cT0SnPNaMpQIiOmTOxwknvvpILsJFXbAaEw1iFTrN4aOiNGdt2K/1+3K3jmrU5kciY+0taA2ZMaXGsniMLepiK7BsB2OYu7GV61N60KJ9kTgJeYLxet5cfCUqyDqIBrh5NsYa8qjMcmu4+0WUaMl3AS21FNFNLCVRMeMyRY0a97n34Hd/x+g6shI4uESzVidLqYrYIo9pG/bQ4sDs7uo8aaKBbsb3liVm3q1i9ewmJcH4sU1U6IsF0se07lcJJoYMcjIe/CXsGo5qnBcoXcko0YO5zEexsp6sSIhoQqnDSsyU7yM2cAtqeypUGvW0kqPMP1XNhbXBPTXKf38jDYfdCer1u1toguhmtiYhGEQ3ZPKdmosj0xdpo685QA+rCfuNEp5qlkot6OvBHDjA3AFiAzcjnTcW94mx9t7yaA4DUx0jUYTRlKZMSUiVs4yTRNrn2J8OwkdXG8TNbO4olFQpjDPTHq3YabEaMLJ7HU6kWHWD1W3HadrPu05Ylxj+EDzqJVjDqXqr0le2Lymhg7nBScJ2ZSY1yriRE1P8yI8eIFsrMvYphYpw9VMUNi/0kN+NbZcwEA//n8+7jl/9Zr64mwc7Pr7LVir7w7U02SyUyWT8yRkIG3OwewbkswlTqZIdFYE8H+kxrQ2hBHMpPDWo3OgYV2DMPyTpTiiZndav1m8r0+LFTrDYUMV+2EiGhU68ajE/ayhUbn2RTDUG7F6NhiHwuHeOIAYIt8R+SKvRlnM1pxbK7hJGbE1Mf1oSpHc0lrLF5CcyxEO9FDOInNI8fnDd9iuhgxnASAb9rk9hPMiJkozF3hkMG1gLqu9uJz7NWImZrXIdZEbQNV3hz2j2QgPvKejBgW3mSemLwRsztgYS/zJJEnZhzhJuwVdS9yOEnWxDiFumEeTtq4s195blW8ncWiVRNSMpPFM2/tAmDpYQCrERmgy05iGRsRbjj0jWS0u/E9iriyqxEjCte8GDGCkBKwJlQgaGFvnHcZlg2NvuE01/ywipjeNDGCJ8altg3zxLQ1xXHp8fvhzk/Ph2EAy178EPf/5T3ludl3n5lvw+DVE8Pi5GyBVF3/nb3Wa/FICGceOgUA8N+vbPZ0/mL0j9gTrmEYPKSkqxfDNFX1Met4pokpVidmKJXh1+Qjkxscn80YFox1wPYeDKb09zrgNKq1wl6NJsat9YC4mSkm7GVjj0ed59cWu3PRxLilWLOWAy0NsaLhpFgkxJs3+i92p/fEiPqf4z/SCsCLJ8ZuOyD+r2ygit4gEb6h0fVSEzY6xbyyLJw0LW8EALZRpQtvMdwyCBl7yxNzxIwJAEZXmjUZMWUS4XUcCic80dsih5PkSUPsRRKLhDCzuQ51sTCSmZzyhpGrY4r/X+WWX/nuHgwkM2hrjPMUbldPjCKclM2Z2oWja6BwImCtB1RCVnEx8bXTkIS9PcPpskprWy0H8rqVxphdJ0aauFihu8Z4BG15d7aXcJKYQupuxFiTTVujde4LPjoD1y06CADwwrvqjCV2btYQ068n5uB2K2Spuv7bem339/kfnQ4AeGzttkAaetqeGOtaM3HvyvfU33NQSK8GoDUaZFgoqT4W5jvIwnBSXsCeN2LYQmea7i0znNlJeS2HxmgQa7gAYjip8LkTvajxaIgbHCojg31/uZO3LuRjh5Ps4/0Le4sYbIKXh80v6aypnJPS2RyfB6wUa72HTZx3WAjync4BV8Oda2JqnEbMgOyJGSr0xAC2LqZX09Ve/OxiHmE5nARAWytG9vx4mx+dmzxWJ6Y/mQnkmWWamMPzmbPv7x7Ueoj3NmTElEnEpXidaMSwHVVYk53EJrxIyEA4L9Y9KL/IqDpaq1zVbr2TnhCykpgQuMGlJgbfoUbDqIuF+bh1Be/YRMDqtwD2wqByJ4uudC+7BfshtcbMQjOmWWgUZHMmrwhcDNZyIGRY3h22+5Inxx5hovOT3i0KFyfmY+4qHQ/zjrDJB7AnDFmcKp+bNcT0mmLNrvfcqQnHZ4vY2RQ1OG5WC6Y316I/mcEf128vev7HX9+BO1e8qZ3k2MLF7j+2KK3+sEdpmDBjgqXsFhOAMpgR056o4V5Ht3AS+19WGsDNgyAa1XalWTk7SZ1i7aaJkbUlcddwUmG1XvG7FBa7K/TEsHkp6eaJYUZMQ1zrLVGFt+uF2jWq8BzbKBgGu45qbRFgG5uGAXQkajCj2TLcdS0rTNMUit05vWzyfNctGGkibpmKgFM3t9tlQ2OaJn+eWDgJgDbNmj3XM1vq+N+LtTixC93ZBhu7nkFkFjLDat7UBCIhA8mMXfem2pARUyZubQfEMJBd7E6tiWGeGHEScMtQsieNwl2VShOzMa/kPza/6wUEI0YRmxezkwzDKFphskvhkq3TdNPNCYWZAG91EGR3aSQc4jsl2ZhY/tImnH73c/jP59RhGBG2oLMGdMwTI2cl2OXRo9wLNJzOFp1cenyGkyYJRkx7wvLK6FIsu4bsXilszMXSTk3TtI2YjibHZ4sww4mlhH7mKMsb4yWkdPtjb+A/nnlX2+3WFvZa99Ts1npMaowjlckpdQ7MmGAVYHUhDbfv0FBjh0RF5HCSYRie6pv0iuEkTc8fnbCX111SGjG2ziUUMuwu1qoQcdppgDG4JkY3HkWxO5VwmOEIJ2nOrTLYIuEQX0hVBiE38GujCIcMV2HvSMoau2VkGjysodPFDKWyPPxrh5Pyz7Z0D+g8McUE2F41MT1DaW6IT8k/0+K4ZG0UM46mTazlhmCxkJLsiTEMw06zDiCkxL5ra0MM0/MG5GjRxZARUyZhTXgIkMJJIcNxvLzYsMJYYvycufvdjRhvnhj2IIpGBpvYVbskO5xkHVMszVpVa0GnibH0BuK/s8VTWqWHVPwushHzXL5g3OseOsCKehjANpIA5+TVJXhUGuIRft2LhZScwl4P4aQme5JjWRgDyYzSeGQ7yJn5SQUo7o0ZTGX5wj2vw/LEqCZIvnOcYI3h00dNg2FYuhW37uqZbI6nZu/RTOx9UjjJMAwsYPViFKnWYuFFwEc4qU/wxGgy7MSwKcMueOctnBTXLL7FKvYqjRihzAJgb3pU4ephTTiJe2Lkir1ZF2FvVv9d2T3eWh/Xhnx0BluDS8haDLUCELw8hfMX6+XGvhvzUuo6TjOjKWTY79F1KFeFwgE7nFSuJoaFklob4o7fSle11zbuYpicnwOKhZTkTR4gpFmXacRkc6ZQUiCGWflN02jJUCIjpkyiLnVfeKG7kMHFbrpidyM+PTFJRQzarXcSW5DFbre8KVqRtgOAUGVUs0iqjJjaqLpODDtHLBziO41i3hj2Hia8FT9LNmJey2fReCkSJfZNAqSsBEXjxub6GAzD8BxSsoW9MT4pqjpZ7+ovDCeJ5dJVkxhbBCY1xvlvWUzcy65zQzzCPTiqqr3ci5GP4U+dUIuFeUHl/67aoj3/7oEUz6zQdexmk7aYZmrrYgqNGDtVNt+t3WPvJGZMdSRqhLLzzjHJ4STAXSvGENsO6LKTxB5IIom64uEk9h4xO0kWGvNwUkRjxKSzjvco68QU0cSYpmn3RGuwO03rspNkg81N3NsteUB4JWaXkCIzNo+YMRGAJe5VCbAHhPRqNvfa2Un2WEbSWd6Xq1KeGDkziaELJ/XwKsZRtDVZ80FRI4ZnJwlGDBf3ur/XNE28/H6X1iDsH7GTGhK1UR6+Jk/MOIGlTqvc+GzSENMfI5pwkkoEyNKsd/YlCxZLVUlzt+wklRFTrxG6AYWCx0YXFzggKPyFiYDtaIelkIuYYss8D8VcnkpPjKJqb2ffCN+Bb5eqtaoQC90xbF1MYeNGZoh4bUDJtTRCGErVP4kZF6IRA9juZ1kXk8rYPaea62Ouu3sRMZ28qSbCDV95tyZqYhgX5AW+/7tqi1ZvJMbJdX2i5HASYO+s3+kcKDjeDic5NTHFwkm2JkbfNXhIyMJjeKkV40yxdq+d4tY7SV6A7b5J1ncUDQ7ZGzOiyU5iRl7OdL6HhaRYPyZxbDojpj+Z4edoqXcJJ2XVBptbaE7M3AOE31WhiRmRNlWHTGlCLBJC91Aam/YUVo9lXjQ2x4n/X/xdmcEgbl4YE2r1zysgCXvdPDHdTq8mQ9eTrod7faPcG1vMiLGrYNvfwUuG0uoPu3HRAy/i/PtX4qIHXlSKgNk1qo9Z1YBZIsFoyVAiI6ZMIjx7oHBSZxO9OBHZxe6Ka2Ia4na3Zlm34F4npjBezSZ80Yhp9BBOkj0xqoJ31m5N4YnRhJNEUWSbh7itaZqCu9R+SFkfly5hAnlN0GHs7E0WVdCLfZMYKjcy98TkDRz2PYuJ5piRM6HO7sskGz4DyQzfDYrhJMBagIFCI4aNJ2RYvw37LYt5Ylhm0qSGOAzD0LqrtymyKf7ukMmoiYawvXcEH2qaQu7otQ1H3Vj6RwoN0slNdsq8HJod5MLefHaSpricjK2JqUFjXH3/soJwjnBSzL2+iWmazhRrFgbJeAuxsO+dUWT7yaUTYg4jxnl+9v0LNDHCv8Xz8+wklSZGU6yTLc6WUDRc/LtKBptb1V65Uq5bnZghyWMWi4S4pkuVam3XiBHCN4oK5V1CSIt5bBhuHjPAOT/sGUxqU/LF7tUiuorpTEQ7sU4MJxXZ5I0oPDEN1ntVVXvf6ezH5b94Bef95AVe2mAkrRbrsvGw+WtWvuYShZPGCbZQV6WJyWccCdkAYU02k1itV8TeYTtvdD/ZSey9huHc/dZrHiKgUPDoVqBrKJXlk69DExNVGzFKT4zLTmMkneOTrMoTIxade1UoyJbK5riWRYfYN4mhciNzYyT/mcxz4+aJyThSSEVPjPMasu9eL/TuYUxpUot7u4QFIBQyirq+GaInBoDSiBxMZvikKHpi4hE7VXl7j9rLJY5T1+xS5YmZWBfjBr5sGMrekhqN5kM3lnYhnCTveoeFDtaMYuGk4XSWe1Ld2g6oyiCwz2JhaPn34gXspM70QOFzzb6/rImJhg0+z4hjUmpiihTIFEW94mfJhfR0BptbQ02uiamXzq0KJym6dR8x3QopqcIgYssBeyz531UwTtk9KmcmAbDLLSieqZF0VjIQTW3m5jaNEaPPTrK95mx+LJYJJIY3GTpPzB9e245FP/wLHn99J0IG8JmjpvFNhMprwzZMbI7ZL++J2dw1VDSRYG9ARkyZ6DwrAIRqvWJKo1oTk5QmL4Yuk0EVb9dV9+R9NeIRnl4NwLUpmr3zkYS9igeVLeTxSMixGNTx3kmFFSmt7+bNE8MMp3DIcJy/mRW8E4yC16SMmGK6GFU4SZVayf6/7IlxM2LEyS9RG+Vu84FkxrEgqUS9jMkJ9SQmVxlNuBiZIrIRo/LEMC1JY03EUX4dsD0zW3VGjLBjVAkiM9kcv7fEc4dCBv8N5InUDg2wOjEsxVo/gY6ks9w7OEUwYgZTWcezJ+/wAb0AlMGegUi+lL1Oy2EXu3MaGYZhcGNcNmK4sDc/nnDI4K0oCmpL8Q7WzjnDMAyluFfVdqBYF2veciB/n9XG1F4wVbYk4G4Qinox63u4ZSc5xd0AcHg+Q0nlibFrCxWGCZWemHrnfQ4ImxnFfczm45Bhn3e3plaMqkYMYN//ss6wV9igtHvY5FnncJagAOwNivw83fvnd5AzgRMPnITHr/44vv+Zw3jKuipTsZd7YqzxdiRqEYuEkM6a2NbjPq69ARkxZcKL3Sk8MbxvUsi+zKztgOy+1XlidB6QlMI1zCbLdNZ0hFG4HqbO+aC61XHQCXtVWTKiqFd0yWrDSYInhu0A3B5SsUaMeH7W64R5YkzT5J4YNlHraqww5OwkAMomkN2CtoV9V8C9aq+4g4mEQ2iqifIFSYyzd0qGhcgUTZo1S/lmRpVXT4z8WbZw0J7oWM+kjkQtZNhuUjd5ieEklREjLmay10nXebfQE1M8O4kZZTXREBK1US7qlMcwrNjh2wuv+vxiJohhGFqNjs47AegXSFUlbp2hoSt2Z71WaGy4CXtVKdyAXcSNbRjiujoxivkIsENzqlIEdnaSpIlRhpOc2UkAcEReR/XG9r6CTZjccgBQa51UCQkMuwVJ4X3cI2gM2X2r08WoasQAQsVeSZPYLQh7JyueTxmxZEWjUthrv3fjzn68sb0PkZCBuy84HAdMtjJgWZFNlSdGNmJCIQP75WvYvLe7UMO2tyEjpkzcGkCySUMMJ+myk2xNjHNCatL0LXLTxADOCa9PIeq1xhUSmqLpBI+SsFcReuoaUk8EdgNIOZxkhxPYw+P2kPYqXKXW5zknjx19I9g9kEQ4ZKfsiouqCjk7CbAFfWLnVrFoHWBraHRpxNZ7nMLFUMjg7xczd3SiXsCuFSMbY3ZtC+vcbqXsRQrDSUxYLXhi+M6x0DPUwY0YnSdGEPYqKp2y317sC8TgO0fpmhZoYjxkJ4k1YgzDsJop5j9PNMRlYx0oLuyVCy/qirTZIt3CabaxVr0LV71Hl0HEvr+sibHGVOiJsUPQCmGvxhPD9GatUjipIH1b02LBzSCUnyk3rZNKuzRtYi3qYmGlR0AVTlI1vO2S0rxFJgiaGFnvYmcQ2cUvVfq4kXSWe7O8hpN6hOsyWQgn6TQ3/Um7ZIUYop0kPE/svawb/UkHtTmysdxqyvTw8JZ9/GjKUCIjpkwiGs8KYGcgRRzZSeqUbL0nRm08uNWJAZxtDFSZSQw2yRSrn8EWSaUnRtHBGhDDSWpPjDOc5OKJUQhBARSkOTMvzIGTG3ktAzdPTCab454UN0+MaZrc6GDfsdlD7yZR1CufW3zfLqnlgIjtiXEaDXI2WCnZSQAET5g9eW2T0qtFuBGjMQ5FY1RVmViuESOii+EPSdlJXordcT2MEKJrUixiqnBSsZ4/ck0OrXdCI3YF9J6zpCIEFdPUihmRQk8iqqq9ak+M4RirjF2tl4WT/ImY3UJz8jOl09sAtnZJ/J0Mw7Cz9ySjekAKQVpjKZzrVI1rGew3ykrFOQGnl7XFZUOzJZ+Z1BiPFMy/TQojJpPN8bleTLFOZXLaDQp75uORkMMrx8aVzlpdsXM5E/+3dhsA4NwjpjrO4ZbJJKZ8M9j8+oEiM2xvQ0ZMmdh1YhTCXqaJUWUnScfrNTHePTFWPZr8+YTiVW5GjK0VsB+kbM7kkymbNNyqjOomAl3FXqYpaKyJekqxZsfL42ef1z2UgmmavD7MoVMT9g7GxYjpGkrBzLccEMcua2L6RjLccyanWHsJJ00UHn6241OFk9iEJcIW4e4hZy0XeQepE4DLiNlJAARPmMITk1B5YqzXVJoY0zS5ngZQe4UGuB4qUvA3nUFre2Ks98QFz4dudypmJjFUi5gtGFUIQItoYtizqQ0naYS9gIsRo0ibtgveScJeHk4qPL8qFVpd7I6FoHWamLywN2+01wheITFkLVYaFvFUJ6YgxVqfnSR6zADRqFZ7YpThpJQ3T0xNNMw3hnJotEcIsbANkKr1wJZua5GfOrG2IPupIV64MRQ3qxNqo4hHwvz66LzVqkJ3gGUIs/lqV38Sr2zqxtaeYTTEIzjl4DbHsa6emGG7sjJjNBW8K5xJxhlDqQwiRUrDlwPbHWUyuYK4L4t1hmCHZ1IZ9fFswgwbzvgxe7C7BpPK48VzA5arOJkx0TOYtgVn+YmoPhYuGGNtfgLc02+fX568h1IZPjn1DqcLzsFCCI01Ecff2DM7kHS+p3somf9uITTUWN+vfySDPQNJh7uYwcZfFw9J18beoe7oG8GavMDvoPZGvgPb0j2sbQ2wOZ8mPLEu5oipM8Ntz2AKQ6kMX9RroyHkTBNDqQzPvNrdn9Sen006jXH7urCFb2ef/T628CdqIwXnioYNxCPWb/rB7kHMyMeiWQGrhvy541HrYnflx6wimzOxu985Jubp29k3wt+3OT/xNtfHCs7FNDhbu4cwmEw7JubeobRjIR9IZtAzlHIs4uzz6xT3IlvYt/eOOO91Luy27sVc3nAxTWuClYWzALC5y5pcWxrs78CMoN399vkH84sGOzdgh1v6FPc6UHg/MkNqOOXsccOMdwOFmpD6GKv47Lx/mIElzgMRIZPJOQew+cVQ3Df24sv+xjwcOZj8NXYtRzQtNJiHrqEm7Lj2ANA1lOTeVmY0GNL8xcchjT2bM7lhUBMNu15H67qk+bUQ/zYp7234cM+g43UWCo6H7TmDZWz1D6f5vct+S/b9ZBK1EXT2p7Czb4R7NgBgF7susTA3Hnb0Fs417+2y7sMpidqCv7ENbf+IPR7m4WyIhZHK5pDK5jCpIZ6vhzOI6c2F3lH+G8ULv0NLfQw9Q2l82DWEFet3AAD+7uA2Po/x78mKakrPHmB72sVnloW539s1ULT1Sin4OadhuvWbH8P09fUhkUhg+tX/jVC8rvgbCIIgCIKoOrnkEDbffT56e3vR1NTkeiyFkwiCIAiCGJOMe0/M9l17ilpy5bBnIIWPfe9pAMDr31rkcK//6fUduPqRdThyxgQs+8djAVixyRO//wwA4I3bT+PHfv/xt/Czv36Az5+wH64/7SD++l/e2oUvL1+NQ6Y04n//6Xj++tcfWYvHX9+Jb3xyDi5ZMJO/fsq/PYvtvSN4+EvH4dBpVoO/Kx5agz+/2YnbzjqEl45n/PP/rMPvXtuBfz7tIHzuhP0AAG/t6Me5P3kBLfVRPHfDyQCAnsE0jr/zzwCAdbf9nSOufvEDL2Ht5h7cfcFhWDS3nb8+ks7iyG8/CQB46RsnczHnmfc8j/d2DeJnn/sojp3djEv+8yWs/rAHd51/GE6fZ7+fceuj6/G/q7fiypM/gi+ftL/jb+fftxLrt/XhrEOn4LFXt2PulCb8zz8tcHz2yhtPLkgvB4D/fO593PXERpx96BR89+8P5a+Lv9H6by7CY69uw02/Xo/j92/Bf156ND/upO8/g87+JP778uMwb2qi4Pzsut965iG48Bjruj/wl/fxwyc34pzDOrD00/M9jfOG/30Vj726Hdf83YH4x4/NAlD4O7+7awBn3fNXJGojWHnTKQXnAIDnNu7C5ctW46DJjfjNV+17adEP/4It3cNY9sVjMKu1ASfkf+c1t56qDNWcf/+LWL+1F/9+4eE49ZDJ/PVfrdqCW/7vdSz8SCs+7BrEh13D+MUXj8FRMyfyY+5/9j386Km3cd4RHfjOufMd593SNYxFd/8F0bCBtbf+HX+WjvnOkxhIZfHHKz+GmflCW0d9+wkMp3NYcdXHeIhN5OPfexq7B1L43y8vwCH5yq43/eo1/N+6bfj6qQfiso9b1/HkHzyDHX3O33DVpm4s+enLmN5ci8ev/njBuW/5zXr8ao19P2ayORz6rScAOH/DC+5/Ea9t7cU9Fx6OU4TrBAD/+8oW3Prb13HSgZPwk0uO5K/f+cc38eDKTfjCwv1w3SJrHmD3+E8uPgInzbG1DJ994CWsUTx3gPq5PvfHL+Ctnf144B+Owgn5Plhu9002Z+LQb/4JJoBnrz+J6yaOueNJDCSz+N2VCzE7r4341m9fxyOvbMFXP7E/vvqJj/BzvPjeHnzh569g9qR6/O5rC/nrqzd14xLpGovPwovfONkh5P/Sf63C8+/sxh2fmodzj7RFqX99ezcu+8UqfKStHr+9wj7/kv98Gas+7C6YU8T7ZnpzLQ7/1hNI50w8ec2Jymw83dz59f9ei8fX78RNn5yDOe2NuPRnf8PMljr88aqPOd7P7oEfXXg4/k66BwD73v79lQsxq7Uej67Zim/8xjnX/PtTb+O+Z9/DhR+dhlvPmltwjgdf2IQ7V7yJT85rx7+df5jjb99b8SZ+/sIm/m95fWFkcyYO+9afkDOBZ647yaHP+9idf8aewTQe/erxODCfkg0A5/34Bby5sx8/vugIfELS2JRLX18fpkxq8eSJGfeamLpYxFEgKWjSNbYNGIuEHYt7KJ+5FI+E+RiaamzNQDwS5nFasW28ON5J+ZtpMJV1vM50eI21UcfrTFNiwM4OYhqXSY3xgmvBKtAmMzn+N6bXqxPGIn6vbM6KFTOY2HdKotY5lmgYIcM6nwHDHs+IczxTErUAetAzlFb+Vkx82aoYP5tYX3jXahx42IwJ/Ddvro+hazCFnuG0MtOGjbt9gnPc7QnbEM3m7Bo6rQ3Oz5/UGEdnfxKDyaxy3CyOP7mphv+dZQP1JzOoi0V4engsEkJ7oqZA/AcA0/KFqLoGU/w8TE/Qkb/mk/MC3f6RDGoiYUdRQ/5989d9cqLGMd4piRps6R5G73CGiy1bG2KYWFcoNAaAGc21WL+1F3uE8Vjjs8Y0bWItBpIZfNg1jGHpvmXpsxPrC39LZoyksyYy+XvMNE3++7c0xvh7amMRDKdTMAyj4DypjJ11tl9rPf87SylNZe0xMRFpc719biZilcfOUN2PkZCBTM50jIeJwZvqYgXnaW1kz3XG8bccnwfs55rp4kIh53dltakStYXnbxQya/h48pNMY4197kSNncEin2PPQBJsdps6oZYnKNTFIhhIZh1zDBt3vTR/MdGrfC1ZynSzcB/URsMwDOTF9s7vyhIZJkjXctYky4ja2ZuUzp/Nn995fGNNFMPpJDI5EyYMpPMDnzqhVqnHYxmQQ9L4B0dYm5A4pk4sfD4ZTGC+/6QG5b3UVBvFQCqLTP76MwFzizDXTMuff8+gen5kej75uwKFBfY+c9R07XrY2mDNZ/0jGd4c1jRN9OaF7O1Nznly/7YGvLmzH9v7RgJfYzM+zkfhpDIRa8DItWKyqrYD4vFChpJO3a/NTtIUl1LVfVA1T2SoMjF47YyofSNFw3Y1XjnNmonj5OwkcUIX06yZeJEJOZnVr8tQUnVoZfBaMflF61DBI9JeJENJ1TcJYEan9V17hlPcYJhYp86O0mUoyXViAHshZcYCy8Rpa4wrDRhAbAJpif6GU3bJ8wlSnZic6SyrLsIL3TU4jROxVgybdOXJT4QVwZNrxTCB9+SmGmXBQMD+7eVCd4C1WLNsOSZcTmZy9gIpTGy8poiiVkxn/whM03oWmoWsE1VKK7svxdTUhmLZSSOF2X6q2jW6Z1R8b2GKtUudGG2KdeH5edq3IFhnhoC4IYm6pFjv4SUCoo4MS1U2lrbYneZa8hIBwrNh1fNh1Y/VmVhydtKU/L3Yn8w45iWWgSTfZ2INIDaGmmhIacAAdjaiPP/aGTsx/jz1j2QcCQJWjRjrmZs+Ua3LbJR60rH7QZwzJhep2iv2opMR618dOLkBB09pLDiGwebhXQP25wym7BYbE6T5b7RkKJERUyaigSJX7VW1HRD/f9aRoqiekJqEolhi5C/FjB4pfVM1CbimWCtSIOUO1vxYReuBzr4R9I1kEDIKK1KK52CTSjqb4xMSO5+q4JqIXeyucOFrkQyQ+dNsI0bXAZqxS1HojjFBSLPukopy8c9W9G4S4SnWgnFnp1hb34llFqgK3TFkY4wZQJGQwX8/MR1UVytmlyaVW6zaywylKYr0akaHpmovq2XTnqhRppID6r5JjrFIqZ7ifSnWCHEreCf2THK02ZCMmGzO5Iu3uJNkmW0j6ZyyN4zKqFYVvEtqnlHAS50YRcVeH8Xuanl5A/s9ygaQvPebWdAsdY/UcoCharOgK3YnGg3i/CU3f7TPrf5d2ZwkVyeuF+qviM+5KsUacBa849V6FenVjAnS88oQq6A31Ub4vC5W7WU1YhriEeXc5RyPdT5eALBWNGKsZ0LXP0lXRwuwm0ACwKeOmKrdKFnHFtaMYs9vTKpBA4B7a6pd8I6MmDKJCi0FZE+Muk6M2JW20IjReWKyOdPhzdAVl2I7MC8VewGh2J2iFLu861G1Hnh9Wx8AvbtUrhUj7oLZBNemKTfPx6/Y+TJE708sEnLEbNs1heIYu/sLC90xEkLJ8R5NHRzZCyQiFsgTJ+qJUrG7TpdCdwXfIz+JiX2TxEmpWNVeuUYMgxuRfSO8/ssURcsBhq5/Euub1J6oUfafAux0adWECxQW3WKhvLqYM0TmVlNku2DEiDRK969YCE7VABKwa9SIqDqq2wXvBO+EZmEH3OrEFBaw09WJcWs74FrsLiJU7NVU+QbslgMt0v2iOre+AaQdbhKvTZfCwAdgd8lOy9+VGZuF35UZ3KJncEBRsRewvXkDyYxdabxBb8SwZ0quPs0LwOVbT9gF70QjxipVME1RI4YhV0IXKwEz2CZmV3+yoNI7IDZ/VNReEjYs5xw+teDvjmMVrQfE7ylz+PQJ+KeT9sclx80s+NveZNxrYipNKN+gLWeiYNfGu1h78MTwCU+akGqiIUTDhtUldSTNJwVdIS27K601waSzOT4Rq4wAVYl1XWEp+4GzJ971+YaLKmErYE94Q9yIsd5bHwtz4467SzWeGLdwmLiLOmRKk8NVXswTo+qbxLA9MSmh8q5UMVgxcfExKwrkAfak3TeSRiabs8NJikJ3DLYYd/Ynkc7m7OKC0g4yURvFrv6k3ojR9GiaLITzmOtYJXJkTNW0HmAF89qbbE9Mt2TEFPfEOCdS5sGTDWS3/kk7FIXuxM9kY2C7e8NwGhrxSIhrXAaTmYLnRnU/qsbj1juJvXckbTVfZUYQe25rFJW4C40Y1gBSb8SoxqPqnQRYc4p4rj1SywE+HrdwktyxWzjfQDLDPUQ9g+oQra6Fg847DFhG9Zs7+vlznsnm+NjcPDHs+VQVumNMUBjjYnd6uw1JHDv7ko4mkMwTM03hoWbI4SQeuhYaUrY0xPkas2cgWdAo1s0Tc0BbAy46Zjo6ErUFbQ9kVAXv5L5JIh9pa8ANp89xPefegDwxAWA3gSzuiQkJVXWdmhi1J0bseCuGcfiOLSx7YpyuZzG0oIqZqjq72i0HnBOAGNpirN9mGTFzO9QKcmYIsXOK1XoZbpoY0zT556nGL3pHDp3mNKTa894ElRs2k83xnZgynCT0TemRyqMz5LYHIsx7Y3U5tideNimapnVuL+Gk1vo4IiEDpmkt7t2KiQ4oXrV3t9aIsav2snCSqyZmgm1UsUV3JJ3l16Fd0MT0DuvCSe6eGHYv8EJ1cdm414eTdJ4YuWLvsNByQNwpG4ahrTSrux+VmhgXT0xjTYTPA47nWrGZYVXBdeEkVcXeGkW1bOb5FecY0ZMsn3+PVK2Xn1vxXXnvt7DzdwqFDN7zSryW3TpPjDacpA+dya0HRO+ZfN+Imza35o8McR5giPMf01kxb9XufpURo69TZt+T1vlFrQ0jHDL4c6Gay9w0MYZhYOl5h+JrpxygHQPDnoeF/mfcE6O/RtWGjJgAiLJWAhpPTFTKFGEThxh+YhoXlUhP1cm6uCfG+jt7+BrjEZ4JJaJqisb6lNRJE4ZKZLx+qxVO0nli2GIwnLbO2a9wxbMFvEcqrQ9YkxfP8lB5YoRd4nxpDG6emK5Bu+WAaicmdhnWxe/dhL0qUS9gGbTMI9A9lMZOD+GkUMjghsb23pGCvkkMt9YQgBi6ksNJtuHAdC5u4aTm+hhfmHf2Wudkxlg8EsKEuiif/OX+Sf1CB3MVbdpwkuyJyXsuFP2TdvTlQ2JNmnBS0hlOUoUo7BL13u5Hldg16eKJCQl6JnGB9NrFOp3Nca+ZsgGkopmiqndSKGRwI0n29OzW3GesyrcYTkq6tFhQiXt1z5TKy5MT2qCofiu59QD7HKvatdqIGRjJuLYcYPBmsMJvxDYojTURvkHlDWEH1eEkHbyfV94wYs+L7Plo5xuNwo1eX5FnyivyswfYRpWq9MNogYyYAOCeGEkTw/4tGw/s3yphryqTQbU46TUxTk+MrgM0QzXByM0fGbI7vnswxXURh2g8MXI4SdUAMFEb5d9DbkDGjo+GDeWOs8XhiZng+JutiSk0YnbxjKq40rhjD233UJpPLPKu0a3xm9yhV4QtCj1DKZ5xMMklnCR+l519I9rJV6ezACyPhphqL8Lc073Dab7TcwsnGYbBXdPs92fvY2niEwRNkUixcNIkqX+S3TKgMMwKFHZIB0RPjHPxkBcM3X0O2Dt42ROjux+52DVvNORyJjcyVM80YN9j4ubELTspnbHnC9HYV4aTJE+MYzzyxkcjHJY7WMuf5zV0pgpZq/RigDrrTPyNVb+VrInRiXrF1waSWdfmjwyVtqtHEWJhIWlxLvAWTnLOqXb4xjmmNsFbKuMWbveDKpzkpokZLZAREwC6JpDMSIlIk5jdBLK4JgbQeGIU3W4BvSdGpYcBdNlJGmGvNA4WStqvpU77APFwUpIZMYWLmGEYBVkpDDETRCWOm9xUg+b6GDoSNdg/XzOCwXYvA1L6JaDXhzDYDmx77zDfActelRaXTtY6MTBgT1Bdgymhg7U3I2Z774h28nUzYpiIuSYaKhA7NtVE+KKZzZkIhwxXzxAgZig5jRjmMZrAPVn2tcnlTJ7+XSycVOCJkcZco+kcDeg1MWJ2kmmajnCSjC41uFdYMMT7UR6P6DVRLezsHOI5ASFMHBHDScwTI6bvivWmFA0gJUNDzJyMhiXPcERtxOiEvTVcvyOKmNUlIgDbWFv20of8M7q5OF3WxBT+rqIRU6Movsi8htslT0y9ItGgUcgGEgXyOtjYh9NZPqZeRYiFbaZ2K7KTPIWTkmmkMjk+dnmumcwzCJ1GTC5n8qQMXQaUV0Q9Gsskc9PEjBbIiAmAiCI8ZP2buW+dkwZLyxbDT+6emEKtQ7HsJK9GjGudmCIp1iyUNFcTSgJsXc2QlJ0kGz22K9P5kOo6tDJqomE88fWP449XfbzAWKyPR/juW/bGsEVS3mUy2EP7fj59MBYJFSx2LJQ1lMoWLKZdGrcwYNfG2DWQ5O7nYkbDFJ5mPVzUE9M3UmjEsNoPkxT1aAzDDlcBlvGn8k6JME8NN2JYenX+PCph70Aqw4s6FhP2FmhipHtRFXYArEmdvVeXnZTJmRhJ52wjRrHYqbwHgF5/wBZfdk5xgVdVPQZEDZMinBRVeGKyhZ6YeCSkNO7lDCLRQImGNZ4YOTtJk2Ite3nE96rC4V8+cX9EQgYeW7cN//hfr1iNQYc1nhgu7LXHIhqbqiKOotDcNE3+m6nuMft3zXIPq/z9RBrjEYS4dknSrSg8MSxZQKwR41XYy+Zqwyg08ts1nhjxmQrKE5PM5IRsKb1HebRARkwARDQxZSb0LQwn2bUZGCnF5MVgFrZjsvOYneSWXg3Yu9N01uTvYRVJC4S9Uooq88TM69AbMdwTk9fEsPHIE8xkTczXdpXqdxktDXFtzFbepTFe3WKNff9JDcr3MU/CB3ssI6a5LlawWDTGI9xAlXUxPZqYv/ja2zsHAFj3h9tECnjzxLilWHPPkyITC7B3eoB7jRiGrUNgRkzS8V7VDpYZsJZWQT31TBL0UclMlmtStNlJUhZL73Cae0Dl61MfC/MFqT+Z5ve5rP2yjtUZMer7MS4tvk6jQW0QqjxnynCSItzDjtMVaZONPNEAKjBiNJ4YtgjLnpi4WyaWYhN22tx2/OelR6M2GsZfNu7C3//HC8rMPUDUOtnndgv7AcDkhL34dg+lPYWT+oUUazdNTChkFPxOLMQizqlypqJYI0Y39wLOcBKbMxK10YI1o63I/Kiq4+IXZ7FJ63NU33W0QUZMAETDhUYJYIeT5EkjotTE6N2x3BOTNx5M09ROGjpNjNYTIywOAzxrg6W1uqdYv55Pr5YFtSK6OjHyTrZN0kIwiml6iqHTxfz13d0AgOP3b1G+jy3CbBFQeVQMw+AhJVkXYwsXC9/HdjUbd/YDsAwL1Q5T9z26NBodNyOmWD0a8XVViwYZu1aMdV13SuGkphpbSM7GMyBkJunqZkyojfJFf/dACkO83oe37KQuQXQpP3eGYTgylHT3OeDUTojoPIPyeMRCd7rv6uqJUYaTbCODp1drvDyyJ4ZtsMIho2CBVBlJKWE3XlDszqUasM44PemgNjx02bGYWBfFmzus+74+Fi7wUqnChOw7qMJ+1meGuSdkW88w/81URowt7E17yk4CBF2MZMS4eWK81IgBnLWLuNZGMddN1nhi3KqZl4I8D6v0P6MNMmICgBklBZ6YbGGdGEDtuWGTgEq8yrUow6zqrdivyX1XJVaWVBEOGXwSZ/qDYpqY/pEM+kbS+GCP9aDq0qutc8jhJLUnpo2X1tZ4Yko0YlQZSjt6R/DerkGEDODY2WojRk4p1E10ugylbkXRKvs91ndhRoxbjRj5e+zoE7KTfAh7i2mAxDG4iXoZcq2Y7UK1XsAyGGRRZLHMJMDa+bIFYVd/0vbESAtSrSacpMvcYojue95yQJmdpBH2akSUcpE2vqhrRL2A2ui0NTFCdlK+OF1aDLG4pFcDttdiJOUMJ6m8QnZbA/v8bDGOho2CDZCqGrCbsJdxxIyJ+N9/Op7fO6oic3a9HfvcbjViGOye3d47wn8z2fC1XrOLy9kVtd3nloRUtZfrRIQ5gt2zXYMp5HKmJ1EvIGp07DYIqjlDF05SFV4sB1mTptL/jDbIiAkApsXQVuyVjRjX7KTCB0/2gIj9OeSdj19NDOAUlwH6mgxNwjjeyFfqnTqh1lUYJ3tiVNlJgL0D2FmQnVTeTsOudmsXZnsh74WZPzWhvS7yzkPncmZu5K4BdTjJTdjLRIDFRL2AnWnjyE6SJl9dny3AgxEjeGI6XNKr+TGSDmFnX6EOhadZ569FscwkeyysgvNI0eykpOSJ2VPUiLEzlIbdwkkaYa+uZpFc7E5XAkFENjpN0w7pOjQxSk+MvlovoPfEyN4pcYxphRHTqvASqtK3vXxfwArf/vorx2PxoVNwhdDtmp9b4WFj/1/lMWOI/cXchL0sfL6tZ5j35HILJwHOwpfi/4pzBLvfMjmrKKkXUS8ghZNcvB4s3NudD7MydBrDUpGLTar0P6MNqtgbALrspIwmOynsmp1UPJwkun0LGkD6TLEGLCOmsz8phJPUOoQmYRdrV+rVe2GAwt5J9kOn88TI7tLydhpTFOGkv76zBwCwYP9W7fsKjBjNbq1ZU/BOV+8BKJw0JxUR9QKsQSTzwqk1H/aiWFjsrpgR41cTw44ZSmWtejdCtV6GXO2UG7Bx9wmR7wYHkkXrxMiaGJ2XimEvGmmtgB2Attid7n7kWo6M0/OhC69Y53AaMZmcyRdWMcyiMjLcqvUCthGTyZlIZ3PKQnf8/Ipwktv9IutWcjnT9fwyk5tq8OOLj1T+La74Xd0K3TGm8KakI1z3pA4nOUs+qMKOMnLBux7FnBqLhNBUE0HfSAa7B5KeasRYnx/l42F6Gl3dqlgkhFQmh86+JKbnO9uX66mWkdOsSROzj2CHk9TZSRE5pVHy3GSL1JSwhb3WhJoSwlTyLikuCXs9eWJqWGGvfP2MtNp9K4aTuBHjIuoFFBV7NSWyVYWW3I73Srsk7DVNEyvznpgTPqIOJQHWhCn+FlpPTF4Ts3tQp4lRCHvr1d/djWg45GiPEFdkS/G6I8NpR7M9QN/BmiFmJ7lV62XURMM8s+vVLT3I5EwYhnPRk5tAevXETBJ2g9qKvZoeO7qePAxRE+MeTnI+Ewzd/SiHQdwK3TGapGw/Z0aTotidok6MLpwkboZG0llXTwx7LakwYlQtOXg4yUc6uVfU4SR3YS/gzJazw0kqI0Yuk1A8TKIT9sraldZGpotJeQ4niWNkho9qrjYMg28QxNC4fT8G448Q5+GRdJbfE6PZE0NGTABoU6xz6nCS7YkpzGTw44lRTRiyJ4ZNkG5GDHO7yuXYdcLebM7E3z7oBqCv1MvQC3vV2Ul7BlOO6+FWUtsLU6TmiR/sGcK23hHEwiEcPbNZ+z7DMBw6Il2KoS6c5GrEFBSyKm7EAE4PSXN9YbYU+41T2ZxjQQL0Haz5GBpFTUxxI0Y8bvWHPQAsA0lcJNn1YzvXYi0HGOJuUOeJYc+JmOYLeNfE9I2khXCSe1E0kWIp1iNSSrOfcJIYGlNmJwnGwnCRcJKVem0f6xbuUaVwu2Wzyc0uxXutbCNGIez1Fk5imxV3Ya9sDLuFwhmyR1FXkK6Vi/xTnsNJsUiI/9ab8+/RbZhYc9vn3t7FXyt3fpQRi02y7xsOGUqDcLRARkwARIqFk0Ih6Xi7sBjg1LioPTFOrYObq9r2xEjhJBdLnXtiigh7a6NhbpCxSq1zi4WTokzY6wwnyQvZxDoxK8X2apS702AajZ4hK3zw13csL8wRMya47uwA506r2Uc4aSSdtbOaFO+TF9hiNWIYYqhGNdHVx8IFGUGA5e5n11QXTpreXIeJdVHMyP+vF5h2Zs2HlkEr12Wxa8UwT4y38ujibnCwWO8kKZy0p0gpeVFI6RZO0gp7NfdjQbG7UowY4T2igcqK0YnCXmbw6LKTDMOwxc+pHH+vq7BXOL/b/VKg/3EJb/uFC5IVnhi3FGJbo+Uu7JV1Mrqwo4jY0R5Qa2IAe0OzpXvIU40YBpsLN3cNKc/LOPvwDgDAb9Zs5Z7Wcj3VMqImxu7jpM8mHA2QERMAunRPbbE7KfzEJoFwyCjQzwCiJyaTF//pJ0hdA0gvwt6BpBWG4CmN0uRuGIZjAWprjBddgNniM5zKWs3zNHViDMPguz6xam+xYnfFaIxHuCh0R98IVr5r6WFO+IheD8OY4METwwyS3YIRwxbtiNAfR3dewFs4CSj0xMhYzUIL+/H0DKe5QS0382PURMN46tqT8PsrF3qesNjCsSbviZks9Sqyq/bKnphi4STRE6PrYu2enaQLE4hVe5lhrQonaTUxmvsxrgkn6QrdAYXFCVV9kwAgpshmtDUx+ilcFPem3IS9PFxlz1+7XIyYgkJ6zMsT1qeTe0Vu3wDoPcMiLJy0s2+EJyioPDFiQ0rAmydGNDZzOVPITpLCSfn5i9WgKlYjhsGeh615T4zOiPm7gyejPhbGlu5hrNpkbRzK1QzKiM14uR5mFIeSADJiAqFB43q2eyephb22J0ZfKAqwb9BszsRQyt01LGYnZYWS1N6MGMuDwOQU8sJhjcU+T7FQknUOVuzOOjdbTFU7Bybuffn9Pfy1Xk1Kq1cMw+Aegm09wzwzyU0Pw0gIaYW6HRvThWzuGuKLkS3qLQz5ANZvJE7IXsNJkwUjRjf5qtKsWfrzxLqoq2eguT5WNNQjwhYOlg3SLhsx9U5PzIBLJVURtnDu7k/yXbi8g2YZMnJ2Uhfv8K2+PmLBRu5x9JOdpKnLIXuGxIVdh6gxy+aEzCRNKxFVdpKbN1HcXKU9hJPE87tpYuTmm15EzF5xqxOjmo8YbY1WlelMzsQHuy2PhsqIAWxDFiheIwZwttDoT2a4+Fo2ZJknZu3mHgDFa8Qw2PPArr9uw1QbC+P0eVMAAI+u3QpAn+1ZKmwj2TOU5vfAaO6bBJAREwgNQtqmSDanE/Y6w0+qUuMiYhinbyTtWh1TdA2LqbZungw+YQu7U/a5MuICNM+lPgw/B6sTk8zyB06sTSNy2tx2AMDSP76JR9fkH1IPmp5iMCPm6Tc70T2URn0sXNAsUoW4I9KFJ+Z2JDAlUYOuwRSueWQdcjnTtdCdfD7DUC8UKhyeGM255dAjAPzt/S4AwMFTiv9efpgqaWfkcJKsJej3OOGK4SRmRNR5LHZna2LUnyGGk9y0Frq2A7ZQ3t0zxIwrL+EkwLo2qhoxgCjsLdTEuHl6xCaZTBTs5olRamJcspP8hM68ovKwcY+ZSzgpHDIwOT9WFurW6ThE46ZYejVgzwM9w2nuVayNhgvGw55j9vleQklAoVHvNm986ggrpPS7V7fn53h1tmepTBDC+u90DuRfG701YgAyYgKhUQjHiGR4xV5N24GsUxOj27UZhuEoeGdPGoUPtdh2gE249bGwaxphY409YbPdaSwSUvbPEXegbj2TGGyXm8rm+OLeWBNR7lC+fOJsfPbYGTBN4Jr/XovfvbqNL3zluEvbm6zJ5NG12wAAx8xqLppWCTgXGV2KdU00jPsuOQqxSAhPbtiJe59+x1XUK5+vpT7maSzi97De790T85e3Le/Txw+c5OlzvCILgGVPzESpSJiq+acKthiksjkegpI9MVw7IXde9qiJEbOT1F2snToxIN9sT5edJHmGvNRNiYZD3IDqHU5rNzNRbmR4T7EWv9ewIztJr4lJOjQx1nX0FE4K0IiJK7qTs6J6buEkoLDStM4TI4Z4vWQncSNmKO3aEFHuw1ZM1GuPx3kut8Jyx+/fikmNcfQMpfHsxl1lh9tlxLA+N2LIEzP+adC4nu1S35KwVwonudWIYYiF5rxqYrykV8vjL5YJIE7eXsJJ4gLBCqLpFjHDMPDtc+bh/KOnIWcCV/5yje26LcNdyjwYTGznRQ8D2A9vpIg6/7DpE/Cdc+YBAH745EY8usYyltzSEtki66VGDKOYJgYorD2SzGS5DujjB1TYiJE9MXwHK6dYu/+WNdFwwT1b4IlRhB2SmSx/BnXaH5Zi2zeSce1i3RCzXfzs+RxM6UMJpXonEsLmZETjXVGGkzLuKdbi9xpJeUuxZmMeSmX4dSwm7DVNk3fXDtYTI4aTMo7vo6Oga7lC2As4w0leNDFNgnapS+hvJCP3mPLqiWmQ5kNVMgAjHDJwzmGWN+bRNVsDF/YCwKT8ZoRVFCdNzD6AKBYU4b2TNBV7Mx41MYAzTOBW0lzcVXntOyTG/910AoBtgEysi6LDQ1G0eCTEi0+xgmhuxc5CIQNLzzsU5x4xlS8Y5TY3kxfXBZp+STJsEdZpW0TO/+h07kV6csNOAEU8Mfm/eRX1As7voTu3uCgCwKpN3RhOZ9HaEMec9kbPn+WFlvqYY+HSGTHdQ5Zg3Gt2ElC4eMr3o7yQAnCkhOo+w67Ym3bVWojZUCykxDxJsXCoIORja2L86UTY4uPwxBQIe1l2UmGdGLeFvSZa6IlxC0GzY3b3p/LvDxVUSgbsgnQ5kzWOLT5/eUVV/8dLnRig0KjWeWJEr54u7CjCninTdM8gksPCpYSTwppkAJFPHTEVAPDEhp38t5LDm+XAPDHv7x4EMLpbDgBkxASCWEBLhMWY5YwjOSU75SGTQawV47bzYeco1RNTbMJgBtG8qQlPojXDMPgiwarxFgsNhUMGvv/3h2LxfEvE1upht+SG7ME4uN2bNoSlVnqZ6ADgtrPm4qiZE/m/3XZ5LO7tx4ipiYb55Kn1xNQ4PTF/2ZgPJR3QWrTJpF9CIcNhyBYIe/PXL5XJYSSd01ZrViFel5poqOAZEhdS5qGwQ0lR7Xf1Gk6KCIYK80qsyws2mxQpp3Lasc4gkRHDf6oO1oAunFQ87VjUl6RYRV0PtaV2DVjP6aTGuPIZFw2nYaEgWjCemELBtpfsJKDQE+NF2OtFEyMK8Tft0S/sLVI4aeoEj+EkwYviJZ15bkcTDmhrQCqT44Z4kJ4YlmjANtmjudAdQEZMILCbUA4nMSOlsNidrInxUN1TqNrrpdhdsgQjZjCZ4a5bXSbAQfnd/McO8BaSsc5lpzgD3pT0kXAId194OG44fQ7uOHe+589SIXoIFsxu8byYHz5tAupjYRzv0p5AJBYJ4SefPZJ7EdwMlAX7tyIWCWGhj+sIAKcd0o7JTXFt001ZE8MKYwWth2Gw3W9jPFKwaFhaLOtadw2l+PMhV01VIXpiVD1wahwVaa3nobuIHsYap50RNFzEYGfPRddgCt/+3Rv4yvLVAICjBUPVHo8dBnHrMi8jhv+4sDeqCSdlRCPGX4q1XSdGJew1HOd3K3RnncPg3tVkOlsZYa+YYu3B6wTYBe8YqvsGcAp+vWQnAXZomTW9VS3sjfGI4/f27IkRxuPFYDAMg3tjGEFpYoDCeWu0GzGjtwzfGKJRk53EG0DK2Uk6TYxriXI7nBQyotrj40L83LMR43F3CgCfOWoajpvV4vkBBQQjpjfp+C7FiIZD+KeT9vf8OTrEyc1rKAkAZrTUYc2ti3xNzpObarD8H4/Fb9ZsxXlHTtUed/q8drz+rdM8i3oZd/79ocjlTK0hJhoxu/qTeD3fqNOvseQVZsTIoSSAdbKOYfdAEtt7hvn97iWcJE6ksh4GYDVJLBd/Mp0FaqNFmz+Kny0KR3Wh0/p4BHsGU/j8z//GvTwXHTMDNy8+uOBYFgZhIRavDRHFWjHsuSj0xOSNDJ+emFrBsGIifbcGkOz8u1xEvYD1u9ZEwxhKWWUTvBpsXmDfJ501kc2ZCIeMosYmQ8yWq42GlYkJgG3EhEOG57moqTaKbb0j3BOj0okYhoHWhhi29Y6gPhb2vPiLz4PXTKBzDu/A9x9/C4A6vFkO8u8+mvsmAeSJCQSdsFdXsZc9XGmeYl1cGCeKy9w8N+JrbEdV3BOTr06aymir9TIMw8CMljpfoQmWZs01MQGlA3plYl0UzfUxhAx/HiSgtN3lgZMbccPpc4pOSH4NGIbbteceu5E0nn/H8sLM7WjynMbtFzcjBrB3cZvzfWF06fUyxTwxhmEU6Ce6XTqHM2QRJaBfHOsFT0xrQxz/3+eOxtLz5ivDFI5eRZmspxAxYP9ebuGkWInhJJ6dlLI9MbGIIjtJamtQrFkoIBXSq0A4CbC/o5cGkAAwZYJ9D+pCSeLf3MKOMuw+/pBpYjQ6ESbunTaxznPhP9Ez7bVa9rSJdThmv2YA1j0UZEVduYDpaE+xJk9MANieDCnFWtMAkv07m5U9MW6aGDucNLFev/OJl2TE5MNhI+6l2EuFnYsZMUHVNPCKYRj46aVHo28kg5kt9Xv1s/c2CUEA/tzGyqRWixw7qxmGYf2vCjYpb+6ya3d4mXDFBVR3L9ZEQxhOZ3nogWtiXIyYaDiEmmiIGz4hQ+8B3a+lDhu29+GT89pxx7nzXY0j1qvINOFonOfVE9M7nOb/X5edlDOtOSUSDnlKsRZDXGytVntibB0d4F7oTnVuZvwEWeyOnbs+HvFU7A6wheapTE6bmQSIyQneF2dmtPB2Ihpjg+li/HiqRcM64UNE+6kjpuLlD7oC95TIxutoT7EmIyYAGgVPjGmafJLWNYDkDSOl7CTXcJLgiXHVxIQVRkwR655lYmSEQm21iqZ4pcIWIZbiHGT81itHzCjUMYxH2ITWM5Tm9WH8ep/8cMJHWvHqbYu0Oic2KbOsDq9eOHE3qNtVWwtpmu/YeaG7IotTY00UI2nrXqyNhrVG1Q8+cxi++omPYG5HU1HDyzAMxCOWcZFM5zx5VwGn0WlrYtTCXsAKs0TCgifG5fxisTsmjFanWGs0MS6emLggZPbqdfJCKGQgFg4hlc3xTC+vGyvDMDAlUYNNe4ZcPTHsHvSqhwEKjRbdwt7KPTHejZhGh9DY+9x43pFTsX5bL07wqNnzyljTxFA4KQCYJZ0zbdcnYGti5IlD18XakyamiBFjGAZ/nRkNxSx10V3P+hYF6YmpFTJJgL0fTtqXYL/1jr4R7B5Ioi4WdmRMVQI3ofZEKZzktTy6F09MbdQZTtrjwRNjjcG+/2pddvf18YjnLDxA8k54FfY6Uqw14STh38zr4UcT4yx25yHFesBd2CufO8hwEuA0kHI5s2jHbhGWoeRmxHzioDZ8cl47vvTx2Z7HJM+huo3hKXPa0Fwfw6mHTPZ87iaHJsa7wVATDeNfz52PxYdO8fweL4geOMMIrqVBpaDVJACYiCybMzGQzPAHiBkpssCssE6MF02MHU4q5qqOhy2XKjNIink+WFO0wVSW78KCNGLkCSXIdEDCiXxtj5vdEsgOuVQmSOEk754Yd00MYGfxcE/MkHvzR4aYDRLkfW6FQtJOsasfT4zGoyF6ctl5mZfCTexqd4QW68SoenlJKdYePDHO9O3ghL3s3P0jGUdYDvD2W7HO6m7FKSfUxfAflxzla0yy0aLTxHxy/hScPq/dl0bFkWI9CvQnsUgIE+ui6B6yxOY6gfRogTwxAWAYhrJWjK7tAHPtZgo0Mf48Mapid4C9kxnw0PyRwbxJzPAplgngB/lco92yH8vIBuvHKxhK8gKblFkTSq96qERtlC+KquwkwBkuAYCuQffmjwzx/ismFvUDrxWT8a4TYYujmyfGMIwCca8dTvJQ7C7l3gAyKgh7TdPkHazdNTGslEOwdWLEc4+kc0V7uckwca+bJ6YUZKPFzWPiV2Tb4DPFem/AwrmjZTxukBETEKoMJZ5iXaTtgLc6MYUVe3XHyzsiL54PNv7dFfDEyCmsFE6qHHLFz0qKer3AJkEWSnTbIYsYhsE9ATpPjNx6wLsmRgwnBWnE2ONh+hbvKdYZrSZGPE86b2jYIRY3TYzgLXFrACk2jR2x61B5yk5KBR9OYr9rMp3l4fl4JOQpk+iUgyejrTGOUw9uC2QsjAJNTICLe13MTgf3IzauJOy3H+2iXoDCSYGhqhVj906Si91pulh7qtibEXZ56uPlYlmePDH5xWUX98QEL+xlVEPYuy/RVBtFfzKDqRNqMau1utlY8qTsxwvX2hjH1p5hbVaKXd3VWtjt7CT3zxCNmCCN9bgixOKn7cCIyzwgim8tj4nzM1U4dCtumhjBE8P0MI01EVcNihjK8ypi9opY8K5YLzeZI2dMxMv/cmog4xAR59BYOBSoB88wDDTVRNA9lB41ng8Wzk2MEqPKDTJiAsL2xNhp1rx3kjRxsAmplIq9WSGDyKsnxk84iU12ugJgpSAbROSJqSxNtVFs7RnGxw+cFGj9iFKQd3J+fns2kdZrw0n2YjeYshdqXfNHhlgxOFhNTGHGjldPTDZnck+SyvARQz5iXyG3xVQsdscr9qrOLXhivOhhAMELlgm22B0gh5O81YipNOIcmqgr3hrAL1edcgDe2N7nuSVKpSFPzD6I3ATSNE07xTose2KcKdZeNDG10TAiIQOZnMl3S1phr+Biro2GPe2QZJd9JerEMMiIqSwzmmuxYXsf/u6QYF3qpSALFf14Yi45biaGUhksOqRd+XcxfMMMgJpoqGiISLz/ymks6jYer2nHNdEQTynu7B/Jv8ctnGTyvkIho1BvJ1IbszVDbsJe7okRjJhixRH5uSsRThKuI285EOB8VAqih6QSC/vnTpgV+DnL4ZhZzfh/z71X8czGIKDVJCBkYS8zUABVnRhZE1PcHWsYBppqo+gaTPHOpbqdj/i610JIciXTICcN0YiJR0JVzZbZF1h63qG45LheLPxIdUW9QKF2wI8Be+KBk3Cii6ZH3LF3edTDyGMI1BPDhb05z20H2HO9eyDJDQiVYSUaGmLKsZtHQFWQThVOigt6G/+emGCL3VnnscNydo2Y6i5VojE+WkI+leSUgydj/TdPC1wgXQlI2BsQchPIrGjEaLpYs92R5xLl+cl3z6B3T4xnIyYue2KC1MTY56LMpMrTXB/Dxw6ofigJUGligruv4oKw10u1XtUYgrzPmdGQTGe5t8RLiIWFiruHrFC0WzgpLYSTinmRVNlJxYS9XmrEiOdO+kgn94rYEXy0hJPqBfGtn6q6Y5mxYMAAPo2YTCaDm2++GbNmzUJtbS1mz56N22+/HblcTnn85ZdfDsMwcPfddzteP+mkk2AYhuO/Cy+80HFMd3c3lixZgkQigUQigSVLlqCnp8fXl9ubcGFv3ogR+5wU98R4mwSYIDad19J40cSUbsRUxhPDJmxi36AmGnLcp0HWCBKzb7o8NH9kiIZ0oOGkSKHnw8vCLj+jKrGu2KTRS7VewFkMMK0pvCm+lvLhiRH7MgWvibG9PKMlnGQYBg8jjfaGiPsavlaUO++8E/fddx8efPBBzJ07F6+88go+//nPI5FI4KqrrnIc++ijj+Kll15CR0eH8lyXXXYZbr/9dv7v2lpnmeaLL74YW7ZswYoVKwAAX/rSl7BkyRI89thjfoa81ygIJ2X14aRSNDFA4QKgNWLERcPjAydb3ZWqE0OemH0LwzAwsS6KnX121ktQ1AqLnZfmj4yKh5PSOV+1UwqMGKUnxs5O4kZMkbGz65PK2mGZYnqbnf3ePDHsPI5wkku6tx/E6zicrxNTbU8MYAl69wym9olw0ljC14yycuVKnHPOOVi8eDEAYL/99sMvf/lLvPLKK47jtm7diiuuuAKPP/44P1amrq4O7e1qwd6GDRuwYsUKvPjiizj22GMBAA888AAWLFiAt956CwcddJCfYe8V5DoxoiamoGIvz07y3sUaKPRiaIvdCWEpr7sGeXGpmCeGRL37HBNqY4IRE6QnJr/YpYRwkgdNTEOlKvYqhb0ewkk1XowYO5w07KHQHeDcPPTnsybdwkkAsL3HKkpYVBPjSLFmnphgrqVYJ2bYZ4p1JWGemLGQsbMv4ct0XrhwIZ566ils3LgRALBu3To8//zzOOOMM/gxuVwOS5YswfXXX4+5c+dqz7V8+XK0trZi7ty5uO6669Df38//tnLlSiQSCW7AAMBxxx2HRCKBF154QXm+ZDKJvr4+x397kwZeJ8aaLFgNmGjYKNAmyG0H/NaUYHjxxHg1YgqykyrQABKglgP7IuLOVRaQl0NNyZ4YoWJvJerEZMoMJymME1G3Ymti3M8tzid9w9bmSpXNJIaBtnk0YuwaNJXQxNgGEtfEjAIjht1bXnRXxN7D14xyww03oLe3F3PmzEE4HEY2m8Udd9yBiy66iB9z5513IhKJ4Morr9Se57Of/SxmzZqF9vZ2rF+/HjfddBPWrVuHJ554AgCwY8cOtLUVpoe2tbVhx44dynMuXboU3/rWt/x8nUBplD0x+XCSqu9EWNbEeKzuKYeGtMXuSjBiKpudJAp7yROzryEaMUH+/mLYIZP1bsSI3sBKtB0YGMnYxeg8eCcKNTH6gnTprN0hu5iexzAM1EStztr9+c2Vqk6MaMQM5o0GP56Yygl77TDYaAgnfXHhbNTFIjh9njqCQFQHXzPKI488gmXLluGhhx7C3LlzsXbtWlx99dXo6OjApZdeilWrVuFHP/oRVq9e7ZoZcdlll/H/P2/ePBxwwAE4+uijsXr1ahx55JEA1P0nTNPUnvemm27CNddcw//d19eH6dOn+/l6ZSHXieF9k0J61zDvnVSkAi9DDsV488R4+4lFF3skZAQ2IQGysJc8MfsaLMRjGEBDBbKBxAaHfj0xwTeAtKpqM4LTxDDxrQnA+8JeGw1jJJ3jbR9U4ttQyOA1qADrdyp2He1qyULF3ooIe61zjoZw0oL9W7Bg/5ZqD4OQ8HXXXX/99bjxxhtx4YUXYv78+ViyZAm+/vWvY+nSpQCA5557Dp2dnZgxYwYikQgikQg2bdqEa6+9Fvvtt5/2vEceeSSi0SjefvttAEB7ezt27txZcNyuXbswebK6xXk8HkdTU5Pjv70JmxhtYa81qcqF7gBF24G0x3BSrbdwkkMT41GEJhoxQbtuHcLeMZK2RwQHuwcbYhFP/W+8okyx9qCJqYmG+DMYZHsNtvj2DdtVu70YMQVaN8/hJG9GjIhKEyOPc2JdTHucfN5hn5lYXlCFk4qJmIl9F19P8NDQEEKSZyEcDvMU6yVLluDUU519K0477TQsWbIEn//857Xnff3115FOpzFlyhQAwIIFC9Db24uXX34ZxxxzDADgpZdeQm9vL44//ng/Q95ryMJeltIo14gBClOsR4MmpqFCGRuAtUMLhwxkcyZ5YvZBmGERdChRDDuwGitePDGGYaCxJoKeoXRFwkm9eSMmEjKU4WQZL+EkUdib17p6ygaSF39dhV/r/PlQUpHMJOuzxeaSwRa7E1PnI+G8sHcUhJOI0YmvWeWss87CHXfcgRkzZmDu3LlYs2YN7rrrLnzhC18AALS0tKClxelui0ajaG9v5xlF7777LpYvX44zzjgDra2teOONN3DttdfiiCOOwAknnAAAOPjgg3H66afjsssuw/333w/ASrE+88wzR2VmEuCsE2OaJjdQ5PRqwDZsmKHDC2P5zE7SuW9L0sTEK6MTAKxFoy4aRn8yQ5qYfRCWzRF0en2N4A1gwt5izR8Zs1rrsW5zD6ZNrC1+sM/x9OX1J149E4VaN1UGUb5AZiaHbF5w48UTI2cwefHEFNPDWJ9tF6RLB+6Jsc/NjMBqV+wlRi++7ox77rkHt9xyC77yla+gs7MTHR0duPzyy3Hrrbd6PkcsFsNTTz2FH/3oRxgYGMD06dOxePFi3HbbbQgLIrjly5fjyiuvxKJFiwAAZ599Nu69914/w92rMCMgmzOt4lI5fThJ74kpponxGk4q04ipwIRRG2NGDHli9jWmTLAMhbam4oujH9givqN3hAtpvYSTAOCnl34Uu/qT6JgQpBFjPXcsE8jroi4/o6rNidhpmm1+PGliJE+MzlsifqYXI0YMJ+Xy81hgmhihuaRhWNeSwkmEDl+rVWNjI+6+++6CCrxufPDBB45/T58+Hc8++2zR9zU3N2PZsmV+hldV6mJhGAZgmlZNBibaVQl7RU1MLmcWrcDL8LJjk1/3mtIsjr8SIroJdVF09ic9ufuJ8cXCj7Tiu+fNx0dnNQd6XnEhBSzhezEtB6O5Phb4vcgW32EfLQcA5zMaj4SUyQtiVd2kxxRroDRNTGuDF12R3XbAhLf5yys8nJTXwwAUTiL0kI8uIAzDQEM8gv6RDPpHMly0q4qJs7h0JmdyLwxQgibGw4TkVYNiGAYaYhH0JzMVMWJuPXMuVm3qxhHTJwR+bmJ0Ew4ZuPCYGYGfV17Eq20gy+0CvFawFcX3ujmApUanM6bQdsBDOEk2YgLyxLDz+pm/vGI30sxyA2k0ZCcRoxMyYgKkMW/EDIxkuCdGJezlbQeyJt9VAf40MZGQoc30YGGpeCTkqzdMfdwyYipRk2HhAa1YeED1uyoT4wf53q52ETLZqPLqiWmIRRAygJyp7pskniuVzdpGjBdNjDQmnbDXryZGNUdUIjspx/Q/ZMQQGoIrBkI4OlmLFXtlRE1MMmtNSCFDLQIWqY2G+TFuux42mfhtVMYylGjXQ4wFZE9ES9WNGOd4Yh48JYBVp4V5TLWaFYcnJh9O8vCcFoSTFOFt8fwAMKmhpuh53XowlYuq2B3NSYQOMmICRCx451axl/dOyuUc1XrdCgQCVsiHTXZuE0a8RCOGNYGshLCXIIJGDtd4FfVWikIjxvv0ykLF2nBSfs5IZ3MYyXjrYg04hb1u3ltxs9XaWPw6hhQFMYMS9or1f4ZGUcVeYnRCRkyAiLVi3Cr2ir2TvGYmMVjVXrcJ8rDpEzCjuQ6LD53iffCwC9HRrocYC1giWPvf1dbEyEaFH41Ignti3MNJSaEjtd9id26iZ9Fr5KVOjHzuWLj4JswrXDScsZtdjobeScTohLbcASI2gWQ7G3XFXmsyyQqaGL81JdyOb22I4y///AnvA89TH7cmCjJiiLGAYRiIR0I8vFJ9TYy3dGYV3IjRiIFtYW8OIxnvFXtrHEaM3shgRlI4ZHj2aNVEQ+gdzr8/wDYloo6Hpc5TnRhCB3liAkRsAslqwCjDSfnX0rmc52q9DOZ2Dsp1K9KS34FV2y1PEF4RF+mqe2LkcJKPZ5SJ9vXhJLtib5ILez1U7BW9Ja46OmtOam2IeW4N4fXcflEZZxROInSQeRsgLJwkamJULlzmncnmTM/VehlssvMqGvTDP524PzoSNfj0kdMCPzdBVAJL3JtvOVBl4zscMhANG57rPokUCycx4yaVzfHsJG8NIO0xuBlV7G9eMpPsczvDSUERFdqUANZ19NK+gdg3IU9MgPAmkMmMXbFX6YnJp1iXpIkpHk4qlenNdbji5AM8N40kiGojaiWqHU4CnBlTfsJJxbKTuCcmY3KdiCdNjHB9dDViAHs+afWohwGc6eBBz0eivoi8MIQbZMQEiK2JEevE6MNJpgku0vOriYlXIJxEEGMNcdGvdjgJKH1htzUxxerEiF2s/YWT3IS97G9eRb2A09AI3IgRxk0aPcINWgkDpFGRnRRRtR0QDBuWQuhdE1M8O4kg9hVGkyYGcBoWfp7RU+ZMxpz2Riyer84oZF6UVMYOJ3nx3nrNTmLXbnpznecxi16eoKr1MsTflTKTCDdIExMgTk+MvgGkmHY9mLIanHmdBBJF3M4EsS/BjIZwyOAGfjVxiF3D3hffg9obseLqj2v/zjKLUtkckvnsJC+Lu3M8el3J50+YhbbGOM4+bKrXITtCZ0FvqsQsLQonEW7QShggXNjr8MSoUqwFT0zSnyfm5IMn49hZzTj/o9PLHS5BjHnYIj2xLhZYnZJyKNUTUww2PwyMZITP8qmJKeKJWbJgP196uBqPouFSEA0kCicRblR/6zKOsCv2pl17J4mGDfPEeJ3wpk6oxSOXLyh3qAQxLmCLXXP96BCjlyrsLQYzQPpG0sJn+eti7bXDt1dEAyl4TUxI+P9kxBB6yBMTIE5NTL53ksITEwoZYC/bmhh6UAnCL2yxGy21jSpVO4UZIGy+iIQM5QbJbTxu2UmlEK+QwQaQsJfwDhkxAcIbQI5keK2IsKbhGhP8DibznhjKNiII37DFrqVhtBgx9nMc5MIuG0RedSIVDflUMsXaYcRQwIDQQytngLBwUiZncuNEV+qb6WJYirWu3DhBEHpETcxooFK1U2QDRJeKLeMoSBcJVjNUqWJ3AIWTCO/QyhkgddEwb0jXPZQCoM5OEl/nmhjyxBCEb46YMQEhA/jofs3VHgqAymti+Od43PR4FfaWQqVEzAAJewnvkJ8uQEIhAw2xCPqTGfQMWQI8fTjJMmKGyBNDECVzzuFTseiQ9lFTS6RSC7t8Lq/eCdEYCN6IqWSKNRkxhDdo5QwYFlLqGbY8MSphL2AbN7Ymhh5UgiiF0WLAAKXXiSmGHJb2qokJhQzuEQo8O6lC3xWgcBLhHTJiAobViuketDwxugwCNimRJ4Ygxg+V8sSUGk6yjrWMALdid6UQr2Q4iTwxhEdo5QyYxrwnhmtitJ4Y0sQQxHijUlVs5fnBj3eCeUwqGU4KOsVa9PJQxV7CDVo5A6Yhn2bN6znohL2UnUQQ445KLeyhkOHYEPmpK8XCbUHXiamtaIq10HaAPDGEC7RyBgwreMfQhZPY64P5tgPkiSGIsU8lM3ZET4qfhd0OJ40dTwzViSG8QitnwDTIRowmnMQ9MawjLblMCWLME69g7RTRKPLScoAfmzesKuktqWSKNYWTCDfIiAmYhhpvRkxYep08MQQx9qmkd0L0xJSmiRk7xe7iFE4iPEIrZ8DInhidmE4OM5EmhiDGPqKHJOh+aGJ2kZ/spL0h7K1kdhJ5Ygg3aOUMmEbJEyN7XBiyhyZOnhiCGPNUcmF3hJN8LOyzJ9UDAPZrqQ90PJRiTYwGSDEVMLIRU6x3EoM8MQQx9qmkEVNqOOmG0+fgomNmYPakhkDHU9HeScK1IyOGcINWzoBpiEcd/45o2g7Ixg1V7CWIsc/eyk7yY8REwqHADRh5DJX0xNSQEUO4QEZMwMjC3rDWE0OaGIIYb9TsreykUTBfRMMh7lEmTQxRLar/JIwzCoS9RRpAMig7iSDGPiw12DCCzwYS54iagEXDpcIMjKBFzLVCbZugBcnE+II0MQEja2KKVexlkCeGIMY+kxNxdCRq0NZUA8MI1oiJRuzzjZa045poGAPJTODp5NOba3HO4R2YPrEu0PMS4w8yYgLGc7G7Ak0MGTEEMdaJR8L483UnaZ/7cnB4YkbJpueyj83Cqk3dmNPeGOh5DcPAjy48ItBzEuMTMmICpqDYncY4KdTEjI6dFUEQ5eFHdOuH6CgMJ11+4v7VHgKxjzM6zPlxREPMmycmSpoYgiB8IDZwpE0PQVjQyhkwoZDhCCnpNDFinZhKiAAJghhfiAUxKWOHICzIiKkADiNGl50kGC2xcChwESBBEOOL6CjUxBBEtaEnoQKIuhidh0U0boJW9hMEMf4ote0AQYxnaPWsAKInRtc7SXw9NkpEegRBjF5KrdhLEOMZMmIqQKPDE1O82B15YgiCKIajTgwZMQQBgIyYiiAaMfo6MRROIgjCO3GaMwiiAHoSKoAnYa8jnEQ/A0EQ7jCvbiwSQqgCxfQIYixCq2cFEDtZe0mxpl0VQRDFYHViami+IAgOPQ0VQMxO0hkxYtZS0M3TCIIYf7CCmKOlbxJBjAbIiKkAjR7CSWLbAQonEQRRDO6JIVEvQXBo9awAzBNjGPoUa8pOIgjCD7G893a09E0iiNEArZ4VgAl7oxovDCBV7CUjhiCIIsS4J4bmC4Jg0NNQAViKtU4PA5AnhiAIfzTVWAkDE+piVR4JQYweIsUPIfzCjBhdKAlw1okhTwxBEMX42AGTcNMn5+DEgyZVeygEMWogI6YCtNTHATgFvjLOFGuKcRME4U4sEsLlJ+5f7WEQxKiCjJgKsF9rPb59zlzMbKnXHkPF7giCIAiiPMiIqRBLFuzn+ndqO0AQBEEQ5UGrZ5UgTwxBEARBlAetnlWCNDEEQRAEUR5kxFSJKNWJIQiCIIiyoNWzSohtB0gTQxAEQRD+odWzSpAmhiAIgiDKg1bPKkEVewmCIAiiPGj1rBJiSwIyYgiCIAjCP7R6VgmnJoaykwiCIAjCL2TEVAnSxBAEQRBEedDqWSUonEQQBEEQ5UGrZ5UgTwxBEARBlAetnlUiQpoYgiAIgigLMmKqRJg8MQRBEARRFrR6VgnSxBAEQRBEedDqWSXEcBJ5YgiCIAjCP7R6Vgmq2EsQBEEQ5eFr9cxkMrj55psxa9Ys1NbWYvbs2bj99tuRy+WUx19++eUwDAN333234/VkMomvfe1raG1tRX19Pc4++2xs2bLFcUx3dzeWLFmCRCKBRCKBJUuWoKenx9eXG83UxsKIhUOoiYZQEyVhL0EQBEH4JeLn4DvvvBP33XcfHnzwQcydOxevvPIKPv/5zyORSOCqq65yHPvoo4/ipZdeQkdHR8F5rr76ajz22GN4+OGH0dLSgmuvvRZnnnkmVq1ahXDYWtAvvvhibNmyBStWrAAAfOlLX8KSJUvw2GOPlfpdRxU10TDuX3IUwiED0TB5YgiCIAjCL76MmJUrV+Kcc87B4sWLAQD77bcffvnLX+KVV15xHLd161ZcccUVePzxx/mxjN7eXvz0pz/FL37xC5x66qkAgGXLlmH69Ol48skncdppp2HDhg1YsWIFXnzxRRx77LEAgAceeAALFizAW2+9hYMOOqjkLzya+MSctmoPgSAIgiDGLL5cAAsXLsRTTz2FjRs3AgDWrVuH559/HmeccQY/JpfLYcmSJbj++usxd+7cgnOsWrUK6XQaixYt4q91dHRg3rx5eOGFFwBYxlIikeAGDAAcd9xxSCQS/BiZZDKJvr4+x38EQRAEQYxffHlibrjhBvT29mLOnDkIh8PIZrO44447cNFFF/Fj7rzzTkQiEVx55ZXKc+zYsQOxWAwTJ050vD558mTs2LGDH9PWVuilaGtr48fILF26FN/61rf8fB2CIAiCIMYwvjwxjzzyCJYtW4aHHnoIq1evxoMPPogf/OAHePDBBwFYXpYf/ehH+PnPfw7DMIqczYlpmo73qN4vHyNy0003obe3l/+3efNmX59PEARBEMTYwpcn5vrrr8eNN96ICy+8EAAwf/58bNq0CUuXLsWll16K5557Dp2dnZgxYwZ/TzabxbXXXou7774bH3zwAdrb25FKpdDd3e3wxnR2duL4448HALS3t2Pnzp0Fn79r1y5MnjxZObZ4PI54PO7n6xAEQRAEMYbx5YkZGhpCKOR8Szgc5inWS5Yswauvvoq1a9fy/zo6OnD99dfj8ccfBwAcddRRiEajeOKJJ/g5tm/fjvXr13MjZsGCBejt7cXLL7/Mj3nppZfQ29vLjyEIgiAIYt/GlyfmrLPOwh133IEZM2Zg7ty5WLNmDe666y584QtfAAC0tLSgpaXF8Z5oNIr29naeUZRIJPDFL34R1157LVpaWtDc3IzrrrsO8+fP59lKBx98ME4//XRcdtlluP/++wFYKdZnnnnmuMlMIgiCIAiiPHwZMffccw9uueUWfOUrX0FnZyc6Ojpw+eWX49Zbb/X1oT/84Q8RiURw/vnnY3h4GKeccgp+/vOf8xoxALB8+XJceeWVPIvp7LPPxr333uvrcwiCIAiCGL8Ypmma1R5EJejr60MikUBvby+ampqqPRyCIAiCIDzgZ/2mUrEEQRAEQYxJyIghCIIgCGJMQkYMQRAEQRBjEjJiCIIgCIIYk5ARQxAEQRDEmMRXivVYgiVdUSNIgiAIghg7sHXbS/L0uDVi+vv7AQDTp0+v8kgIgiAIgvBLf38/EomE6zHjtk5MLpfDtm3b0NjY6LsZZTH6+vowffp0bN68mWrQVBi61nsPutZ7D7rWew+61nuPoK61aZro7+9HR0dHQasjmXHriQmFQpg2bVpFP6OpqYkeir0EXeu9B13rvQdd670HXeu9RxDXupgHhkHCXoIgCIIgxiRkxBAEQRAEMSYhI6YE4vE4brvtNsTj8WoPZdxD13rvQdd670HXeu9B13rvUY1rPW6FvQRBEARBjG/IE0MQBEEQxJiEjBiCIAiCIMYkZMQQBEEQBDEmISOGIAiCIIgxCRkxPvnJT36CWbNmoaamBkcddRSee+65ag9pzLN06VJ89KMfRWNjI9ra2vCpT30Kb731luMY0zTxzW9+Ex0dHaitrcVJJ52E119/vUojHj8sXboUhmHg6quv5q/RtQ6OrVu34pJLLkFLSwvq6upw+OGHY9WqVfzvdK2DIZPJ4Oabb8asWbNQW1uL2bNn4/bbb0cul+PH0LUujb/85S8466yz0NHRAcMw8Oijjzr+7uW6JpNJfO1rX0Nrayvq6+tx9tlnY8uWLcEM0CQ88/DDD5vRaNR84IEHzDfeeMO86qqrzPr6enPTpk3VHtqY5rTTTjN/9rOfmevXrzfXrl1rLl682JwxY4Y5MDDAj/nud79rNjY2mr/61a/M1157zbzgggvMKVOmmH19fVUc+djm5ZdfNvfbbz/z0EMPNa+66ir+Ol3rYOjq6jJnzpxpfu5znzNfeukl8/333zeffPJJ85133uHH0LUOhu985ztmS0uL+bvf/c58//33zf/5n/8xGxoazLvvvpsfQ9e6NP7whz+Y//Iv/2L+6le/MgGYv/nNbxx/93Jdv/zlL5tTp041n3jiCXP16tXmJz7xCfOwww4zM5lM2eMjI8YHxxxzjPnlL3/Z8dqcOXPMG2+8sUojGp90dnaaAMxnn33WNE3TzOVyZnt7u/nd736XHzMyMmImEgnzvvvuq9YwxzT9/f3mAQccYD7xxBPmiSeeyI0YutbBccMNN5gLFy7U/p2udXAsXrzY/MIXvuB47bzzzjMvueQS0zTpWgeFbMR4ua49PT1mNBo1H374YX7M1q1bzVAoZK5YsaLsMVE4ySOpVAqrVq3CokWLHK8vWrQIL7zwQpVGNT7p7e0FADQ3NwMA3n//fezYscNx7ePxOE488US69iXy1a9+FYsXL8app57qeJ2udXD89re/xdFHH43PfOYzaGtrwxFHHIEHHniA/52udXAsXLgQTz31FDZu3AgAWLduHZ5//nmcccYZAOhaVwov13XVqlVIp9OOYzo6OjBv3rxArv24bQAZNLt370Y2m8XkyZMdr0+ePBk7duyo0qjGH6Zp4pprrsHChQsxb948AODXV3XtN23atNfHONZ5+OGHsXr1avztb38r+Btd6+B477338B//8R+45ppr8I1vfAMvv/wyrrzySsTjcfzDP/wDXesAueGGG9Db24s5c+YgHA4jm83ijjvuwEUXXQSA7utK4eW67tixA7FYDBMnTiw4Joi1k4wYnxiG4fi3aZoFrxGlc8UVV+DVV1/F888/X/A3uvbls3nzZlx11VX405/+hJqaGu1xdK3LJ5fL4eijj8a//uu/AgCOOOIIvP766/iP//gP/MM//AM/jq51+TzyyCNYtmwZHnroIcydOxdr167F1VdfjY6ODlx66aX8OLrWlaGU6xrUtadwkkdaW1sRDocLLMfOzs4CK5Qoja997Wv47W9/i6effhrTpk3jr7e3twMAXfsAWLVqFTo7O3HUUUchEokgEong2Wefxb//+78jEonw60nXunymTJmCQw45xPHawQcfjA8//BAA3ddBcv311+PGG2/EhRdeiPnz52PJkiX4+te/jqVLlwKga10pvFzX9vZ2pFIpdHd3a48pBzJiPBKLxXDUUUfhiSeecLz+xBNP4Pjjj6/SqMYHpmniiiuuwK9//Wv8+c9/xqxZsxx/nzVrFtrb2x3XPpVK4dlnn6Vr75NTTjkFr732GtauXcv/O/roo/HZz34Wa9euxezZs+laB8QJJ5xQUCpg48aNmDlzJgC6r4NkaGgIoZBzOQuHwzzFmq51ZfByXY866ihEo1HHMdu3b8f69euDufZlS4P3IViK9U9/+lPzjTfeMK+++mqzvr7e/OCDD6o9tDHNP/3TP5mJRMJ85plnzO3bt/P/hoaG+DHf/e53zUQiYf761782X3vtNfOiiy6i9MiAELOTTJOudVC8/PLLZiQSMe+44w7z7bffNpcvX27W1dWZy5Yt48fQtQ6GSy+91Jw6dSpPsf71r39ttra2mv/8z//Mj6FrXRr9/f3mmjVrzDVr1pgAzLvuustcs2YNLy3i5bp++ctfNqdNm2Y++eST5urVq82TTz6ZUqyrxY9//GNz5syZZiwWM4888kieBkyUDgDlfz/72c/4MblczrztttvM9vZ2Mx6Pmx//+MfN1157rXqDHkfIRgxd6+B47LHHzHnz5pnxeNycM2eO+f/+3/9z/J2udTD09fWZV111lTljxgyzpqbGnD17tvkv//IvZjKZ5MfQtS6Np59+Wjk/X3rppaZperuuw8PD5hVXXGE2NzebtbW15plnnml++OGHgYzPME3TLN+fQxAEQRAEsXchTQxBEARBEGMSMmIIgiAIghiTkBFDEARBEMSYhIwYgiAIgiDGJGTEEARBEAQxJiEjhiAIgiCIMQkZMQRBEARBjEnIiCEIgiAIYkxCRgxBEARBEGMSMmIIgiAIghiTkBFDEARBEMSYhIwYgiAIgiDGJP8/2tcM+1TsldwAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(npt_dict['volume'])\n", + "plt.axhline(np.mean(npt_dict['volume']), linestyle='-')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0630484c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 0, 'Timesteps')" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(npt_dict['volume']/len(structure_repeated))\n", + "plt.axhline(np.mean(npt_dict['volume'][20:]/len(structure_repeated)), linestyle='-')\n", + "plt.ylabel(\"Volume [$\\AA^3$]\")\n", + "plt.xlabel(\"Timesteps\")" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "f444a980", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.078049083124835" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(relaxed_structure))**(1/3)\n", + "npt_lattice_constant" + ] + }, + { + "cell_type": "markdown", + "id": "ea537861", + "metadata": {}, + "source": [ + "#### NVT simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "f5392217", + "metadata": {}, + "outputs": [], + "source": [ + "structure_repeated_npt = bulk('Al', a=npt_lattice_constant, cubic=True).repeat(5)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "cc75c543", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[0;31mSignature:\u001b[0m\n", + "\u001b[0mcalc_molecular_dynamics_nvt_with_lammpslib\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mstructure\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'Atoms'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mpotential_dataframe\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'pandas.DataFrame'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mTstart\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'float'\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m100.0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m 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\u001b[0mseed\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'int'\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m4928459\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mdist\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'str'\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'gaussian'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mlmp\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0moutput_keys\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'positions'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'cell'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'forces'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'temperature'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'energy_pot'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'energy_tot'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'pressure'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'velocities'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'volume'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;34m'dict'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mDocstring:\u001b[0m \n", + "\u001b[0;31mFile:\u001b[0m /cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/libcalculator.py\n", + "\u001b[0;31mType:\u001b[0m function" + ] + } + ], + "source": [ + "calc_molecular_dynamics_nvt_with_lammpslib?" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "99f8f54c", + "metadata": {}, + "outputs": [], + "source": [ + "nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=500,\n", + " Tstop=500,\n", + " #Tdamp=,\n", + " run=10000,\n", + " thermo=100\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "da77cf08", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['positions', 'cell', 'forces', 'temperature', 'energy_pot', 'energy_tot', 'pressure', 'velocities', 'volume'])" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nvt_dict.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "7a510ba5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.plot(nvt_dict['temperature'])" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "54096ff3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-48.646111103616185 bar\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.plot(nvt_dict['pressure'][:,0,0])\n", + "plt.axhline(np.mean(nvt_dict['pressure'][:,0,0]), linestyle='-')\n", + "print(np.mean(nvt_dict['pressure'][:,0,0]), \"bar\")" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "f35151b7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(nvt_dict['volume'])\n", + "plt.axhline(np.mean(nvt_dict['volume']), linestyle='-')" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "2a8e7bb7", + "metadata": {}, + "outputs": [], + "source": [ + "structure_repeated_nvt = structure_repeated_npt.copy()\n", + "structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + ")\n", + "structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + ")\n", + "structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "0e54d201", + "metadata": {}, + "source": [ + "### Combined function" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "id": "3f558d1e", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation_at_finite_temperature(structure : Atoms, potential_dataframe : pd.DataFrame, elastic_constant : str, deformation_gradient : np.array, temperature : float, strain : float):\n", + "\n", + " from atomistics.calculators.lammps.libcalculator import calc_molecular_dynamics_nvt_with_lammpslib # FIXME: Add to top later!\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['pressure'])\n", + " # print(\"Strained stress:\\n\", strained_dict['pressure'])\n", + "\n", + " diff = -np.mean(strained_dict['pressure'] - relaxed_dict['pressure'], axis=0)\n", + " # print(diff)\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "id": "27196719", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(structure : Atoms, potential : str, temperature : float = 500, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation_at_finite_temperature(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b2fe2da0", + "metadata": {}, + "outputs": [], + "source": [ + "#FIXME: Need to have the equilibriated structures at each temperature\n", + "elastic_constants_list_300 = calculate_elastic_constants_at_finite_temperature(structure=structure_repeated_nvt, potential=potential_name, temperature=300, strain=0.005)\n", + "elastic_constants_list_500 = calculate_elastic_constants_at_finite_temperature(structure=structure_repeated_nvt, potential=potential_name, temperature=500, strain=0.005)\n", + "elastic_constants_list_800 = calculate_elastic_constants_at_finite_temperature(structure=structure_repeated_nvt, potential=potential_name, temperature=800, strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "id": "8187d2c2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1050412.7057393359, 609492.9418437293, 309984.6744940177],\n", + " [1051359.7459461081, 614919.3220086889, 314049.14973470924],\n", + " [1060340.7532499686, 632094.4701107409, 274675.3496349924])" + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300, elastic_constants_list_500, elastic_constants_list_800" + ] + }, + { + "cell_type": "markdown", + "id": "70e45d00", + "metadata": {}, + "source": [ + "### Testing" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "4fdfb1fb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + "elastic_constants_list = []\n", + "strain = 0.005\n", + "deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + "}\n", + "\n", + "# for constant_str, deformation_gradient in deformation_gradient_dict.items\n" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "id": "85d926a3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Relaxed stress:\n", + " [[[ 7.28383848e+03 1.27396862e+03 2.33190656e+03]\n", + " [ 1.27396862e+03 7.35349849e+03 1.44982364e+02]\n", + " [ 2.33190656e+03 1.44982364e+02 7.42163145e+03]]\n", + "\n", + " [[ 4.06410485e+03 2.77845729e+02 -5.20632925e+02]\n", + " [ 2.77845729e+02 7.00342474e+03 -6.94652984e+02]\n", + " [-5.20632925e+02 -6.94652984e+02 5.16701889e+03]]\n", + "\n", + " [[ 1.28772099e+03 4.59249671e+02 -6.29626004e+01]\n", + " [ 4.59249671e+02 2.40995503e+03 6.42472942e+02]\n", + " [-6.29626004e+01 6.42472942e+02 1.07900233e+03]]\n", + "\n", + " [[-2.47117100e+01 5.18730804e+02 -2.03227319e+01]\n", + " [ 5.18730804e+02 6.29206798e+01 -1.16718507e+03]\n", + " [-2.03227319e+01 -1.16718507e+03 1.90372203e+02]]\n", + "\n", + " [[-1.96779427e+02 1.41833541e+03 -7.71623544e+02]\n", + " [ 1.41833541e+03 -5.17996064e+02 -1.02074658e+03]\n", + " [-7.71623544e+02 -1.02074658e+03 -4.80228335e+02]]\n", + "\n", + " [[-1.20237823e+03 -1.32164217e+02 -3.83579486e+02]\n", + " [-1.32164217e+02 -6.75011516e+02 1.06265058e+03]\n", + " [-3.83579486e+02 1.06265058e+03 -1.64698628e+03]]\n", + "\n", + " [[-2.31786023e+02 -2.10584627e+01 -3.91116010e+02]\n", + " [-2.10584627e+01 -8.38547593e+02 1.23524281e+02]\n", + " [-3.91116010e+02 1.23524281e+02 4.44558940e+02]]\n", + "\n", + " [[ 5.23609398e+02 -8.96668442e+01 6.48014176e+02]\n", + " [-8.96668442e+01 1.00690659e+03 -1.82409492e+01]\n", + " [ 6.48014176e+02 -1.82409492e+01 1.24224331e+03]]\n", + "\n", + " [[ 6.37454656e+02 3.08717948e+02 -6.98647474e+02]\n", + " [ 3.08717948e+02 8.52567294e+02 7.30922510e+02]\n", + " [-6.98647474e+02 7.30922510e+02 5.18438618e+02]]\n", + "\n", + " [[-4.40787882e+02 -2.79593481e+01 9.80076109e+01]\n", + " [-2.79593481e+01 1.78721242e+02 -8.26193810e+02]\n", + " [ 9.80076109e+01 -8.26193810e+02 -1.78107869e+02]]\n", + "\n", + " [[ 7.50448529e+02 1.50255008e+03 -2.68449623e+02]\n", + " [ 1.50255008e+03 -2.56200836e+02 7.30141966e+02]\n", + " [-2.68449623e+02 7.30141966e+02 -1.12917758e+03]]\n", + "\n", + " [[ 4.50336298e+02 9.28647917e+02 -6.57269670e+02]\n", + " [ 9.28647917e+02 8.16881879e+01 8.71349833e+02]\n", + " [-6.57269670e+02 8.71349833e+02 -5.73786238e+02]]\n", + "\n", + " [[-2.11337047e+02 -6.80857929e+02 6.05650459e+02]\n", + " [-6.80857929e+02 -1.85584190e+02 1.29932828e+02]\n", + " [ 6.05650459e+02 1.29932828e+02 3.09614867e+02]]\n", + "\n", + " [[ 7.92474100e+02 -2.54473628e+02 1.08159034e+03]\n", + " [-2.54473628e+02 1.17350024e+03 1.11538912e+03]\n", + " [ 1.08159034e+03 1.11538912e+03 9.17415382e+02]]\n", + "\n", + " [[ 4.08919783e+02 9.98105818e+02 -5.65137160e+02]\n", + " [ 9.98105818e+02 8.18998163e+02 1.26973382e+02]\n", + " [-5.65137160e+02 1.26973382e+02 2.43596374e+02]]\n", + "\n", + " [[ 1.34974648e+02 -2.63321142e+02 8.06972506e+02]\n", + " [-2.63321142e+02 1.03779782e+03 -8.46925715e+02]\n", + " [ 8.06972506e+02 -8.46925715e+02 1.99503108e+02]]\n", + "\n", + " [[-1.48699900e+02 1.04885583e+02 -1.39490534e+02]\n", + " [ 1.04885583e+02 -1.06349053e+03 3.78196531e+02]\n", + " [-1.39490534e+02 3.78196531e+02 -3.75074642e+02]]\n", + "\n", + " [[-8.73882617e+02 -4.06420269e+02 -4.31280520e+02]\n", + " [-4.06420269e+02 -9.20731171e+02 6.73492811e+02]\n", + " [-4.31280520e+02 6.73492811e+02 -9.72433257e+02]]\n", + "\n", + " [[-4.73770909e+02 -3.13052809e+02 -3.22411788e+02]\n", + " [-3.13052809e+02 -5.40909018e+02 1.05006281e+02]\n", + " [-3.22411788e+02 1.05006281e+02 -3.52883342e+02]]\n", + "\n", + " [[ 1.45609054e+03 4.39586056e+01 3.54061431e+02]\n", + " [ 4.39586056e+01 -4.96939674e+02 6.45334190e+02]\n", + " [ 3.54061431e+02 6.45334190e+02 1.18961037e+03]]\n", + "\n", + " [[ 1.14103156e+03 -3.44442423e+02 -6.39096744e+02]\n", + " [-3.44442423e+02 9.08434600e+02 1.43023546e+02]\n", + " [-6.39096744e+02 1.43023546e+02 1.03512034e+03]]\n", + "\n", + " [[ 2.82972726e+02 8.66027477e+02 -2.98593794e+02]\n", + " [ 8.66027477e+02 1.18338262e+03 -3.32985052e+02]\n", + " [-2.98593794e+02 -3.32985052e+02 8.32582818e+01]]\n", + "\n", + " [[ 7.25127363e+02 5.58125532e+02 -3.44847822e+02]\n", + " [ 5.58125532e+02 9.66472160e+02 1.32787473e+03]\n", + " [-3.44847822e+02 1.32787473e+03 -9.15929823e+02]]\n", + "\n", + " [[ 6.47195157e+02 2.63112091e+02 -9.28283848e+01]\n", + " [ 2.63112091e+02 4.94816466e+02 1.44636755e+03]\n", + " [-9.28283848e+01 1.44636755e+03 -8.31257351e+02]]\n", + "\n", + " [[-9.46596991e+02 8.46158855e+02 -7.11585813e+02]\n", + " [ 8.46158855e+02 -4.38849888e+02 -8.61664735e+02]\n", + " [-7.11585813e+02 -8.61664735e+02 -4.68546054e+02]]\n", + "\n", + " [[-3.12315346e+02 -5.13730734e+02 -5.87197465e+02]\n", + " [-5.13730734e+02 6.44898854e+02 5.74239343e+02]\n", + " [-5.87197465e+02 5.74239343e+02 -2.28090139e+02]]\n", + "\n", + " [[ 1.75768064e+03 -1.13329513e+03 -6.62837259e+02]\n", + " [-1.13329513e+03 2.29640009e+03 -4.26000979e+02]\n", + " [-6.62837259e+02 -4.26000979e+02 8.84098371e+02]]\n", + "\n", + " [[ 6.30798333e+02 -2.00955409e+02 -1.89487110e+02]\n", + " [-2.00955409e+02 1.60019529e+03 -1.50116363e+02]\n", + " [-1.89487110e+02 -1.50116363e+02 1.38363514e+03]]\n", + "\n", + " [[ 1.27154743e+03 -1.09724311e+03 -4.08471409e+02]\n", + " [-1.09724311e+03 7.46904697e+02 1.55437294e+02]\n", + " [-4.08471409e+02 1.55437294e+02 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8.08246822e+02]\n", + " [ 2.32724686e+02 8.08246822e+02 -2.74602511e+03]]\n", + "\n", + " [[-5.30927645e+03 1.28282285e+02 7.28436768e+02]\n", + " [ 1.28282285e+02 -1.33479840e+03 1.37776672e+01]\n", + " [ 7.28436768e+02 1.37776672e+01 -3.67612111e+03]]]\n" + ] + } + ], + "source": [ + "structure_strained = structure_repeated_nvt.copy()\n", + "relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + "deformation_gradient = deformation_gradient_dict['C11']\n", + "temperature = 500\n", + "\n", + "strained_cell = deformation_gradient@relaxed_cell\n", + "structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + "relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_repeated_nvt, \n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + "strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + "\n", + "print(\"Relaxed stress:\\n\", relaxed_dict['pressure'])\n", + "print(\"Strained stress:\\n\", strained_dict['pressure'])" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "id": "0a339c21", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[20.39024542, 0. , 0. ],\n", + " [ 0. , 20.39024542, 0. ],\n", + " [ 0. , 0. , 20.39024542]]),\n", + " array([[20.49219664, 0. , 0. ],\n", + " [ 0. , 20.39024542, 0. ],\n", + " [ 0. , 0. , 20.39024542]]))" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_cell, strained_cell" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "id": "25d4f0d1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[ 498.12242854, 43.73611369, -134.37839407],\n", + " [ 43.73611369, 454.72483838, 7.36318195],\n", + " [-134.37839407, 7.36318195, 208.63312764]]),\n", + " array([[-4758.67630119, 5.58326625, -85.56030685],\n", + " [ 5.58326625, -2568.26822227, 232.37740429],\n", + " [ -85.56030685, 232.37740429, -2834.81993244]]))" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.mean(relaxed_dict['pressure'], axis=0), np.mean(strained_dict['pressure'], axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "id": "38d7e9c7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(relaxed_dict['pressure'][:,0,0], label=\"relaxed\")\n", + "plt.plot(strained_dict['pressure'][:,0,0], label=\"strained\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7801f26c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[5256.1099663 44.96842995 -80.4077054 ]\n", + " [ 44.96842995 3032.75630109 -293.51458862]\n", + " [ -80.4077054 -293.51458862 3032.70944648]]\n", + "1051221.9932606055\n" + ] + } + ], + "source": [ + "diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + "print(diff)\n", + "\n", + "# if elastic_constant == 'C11':\n", + "constant = diff[0, 0] / strain\n", + "print(constant)\n", + "# elif elastic_constant == 'C12':\n", + "# sigma33 = diff[2, 2]\n", + "# constant = (sigma33/ strain) / 2\n", + "\n", + "# elif elastic_constant == 'C44':\n", + "# sigma23 = diff[2, 1]\n", + "# constant = sigma23 / (2 * strain)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "82782a43", + "metadata": {}, + "source": [ + "## Function to fit elastic constants" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "fc065d18", + "metadata": {}, + "outputs": [], + "source": [ + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "432a25fc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n" + ] + }, + { + "data": { + "text/plain": [ + "OrderedDict([('s_e_0',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.050004662201837, 4.050004662201837, 4.050004662201837])),\n", + " ('s_01_e_m0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.0297037591141, 4.0297037591141, 4.0297037591141])),\n", + " ('s_01_e_m0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.039866962542076, 4.039866962542076, 4.039866962542076])),\n", + " ('s_01_e_0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.060117049134704, 4.060117049134704, 4.060117049134704])),\n", + " ('s_01_e_0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.07020431200885, 4.07020431200885, 4.07020431200885])),\n", + " ('s_08_e_m0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.0297037591141, 4.0297037591141, 4.050004662201837])),\n", + " ('s_08_e_m0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.039866962542076, 4.039866962542076, 4.050004662201837])),\n", + " ('s_08_e_0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.060117049134704, 4.060117049134704, 4.050004662201837])),\n", + " ('s_08_e_0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.07020431200885, 4.07020431200885, 4.050004662201837])),\n", + " ('s_23_e_m0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.049902896230618, -0.020301415778231937, -0.020301415778231937], [-0.020301415778231937, 4.049902896230618, -0.020301415778231937], [-0.020301415778231937, -0.020301415778231937, 4.049902896230618]])),\n", + " ('s_23_e_m0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.049979285794635, -0.01013776334026729, -0.01013776334026729], [-0.01013776334026729, 4.049979285794635, -0.01013776334026729], [-0.01013776334026729, -0.01013776334026729, 4.049979285794635]])),\n", + " ('s_23_e_0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.049979412364202, 0.010112449822324114, 0.010112449822324114], [0.010112449822324114, 4.049979412364202, 0.010112449822324114], [0.010112449822324114, 0.010112449822324114, 4.049979412364202]])),\n", + " ('s_23_e_0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.0499039089532864, 0.020200149839186558, 0.020200149839186558], [0.020200149839186558, 4.0499039089532864, 0.020200149839186558], [0.020200149839186558, 0.020200149839186558, 4.0499039089532864]]))])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sym_dict, structure_dict = generate_structures_helper(\n", + " structure=relaxed_structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + ")\n", + "structure_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "a2ad0a82", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "({'SGN': 225,\n", + " 'v0': 66.43035441556098,\n", + " 'LC': 'CI',\n", + " 'Lag_strain_list': ['01', '08', '23'],\n", + " 'epss': array([-0.005 , -0.0025, 0. , 0.0025, 0.005 ]),\n", + " 'strain_energy': [[(-0.005, -13.436320248980278),\n", + " (-0.0025, -13.439079680886989),\n", + " (0.0, -13.439999952735112),\n", + " (0.0024999999999999996, -13.439084974614394),\n", + " (0.005, -13.436364320399795)],\n", + " [(-0.005, -13.43817471490433),\n", + " (-0.0025, -13.439544638502635),\n", + " (0.0, -13.439999952735112),\n", + " (0.0024999999999999996, -13.43954822781134),\n", + " (0.005, -13.43820419261515)],\n", + " [(-0.005, -13.437971451918393),\n", + " (-0.0025, -13.439501038418326),\n", + " (0.0, -13.439999952735112),\n", + " (0.0024999999999999996, -13.439515785430654),\n", + " (0.005, -13.438089441277945)]],\n", + " 'e0': -13.439999952735112,\n", + " 'A2': array([2.20130388, 1.08985578, 1.1861949 ])},\n", + " {'elastic_matrix': array([[114.103117 , 60.51102935, 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 114.103117 , 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 60.51102935, 114.103117 , 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 31.67489592,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 31.67489592, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 31.67489592]]),\n", + " 'elastic_matrix_inverse': array([[ 0.01385733, -0.00480214, -0.00480214, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00480214, 0.01385733, -0.00480214, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00480214, -0.00480214, 0.01385733, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0.03157074, 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0.03157074,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0.03157074]]),\n", + " 'bulkmodul_voigt': 78.37505856676479,\n", + " 'bulkmodul_reuss': 78.37505856676478,\n", + " 'bulkmodul_hill': 78.37505856676478,\n", + " 'shearmodul_voigt': 29.7233550814532,\n", + " 'shearmodul_reuss': 29.524633431767093,\n", + " 'shearmodul_hill': 29.623994256610146,\n", + " 'youngsmodul_voigt': 79.16270932635159,\n", + " 'youngsmodul_reuss': 78.69249533069122,\n", + " 'youngsmodul_hill': 78.92769056458738,\n", + " 'poissonsratio_voigt': 0.3316583728420953,\n", + " 'poissonsratio_reuss': 0.33265829553063747,\n", + " 'poissonsratio_hill': 0.3321581465500026,\n", + " 'AVR': 0.33540657610977775,\n", + " 'elastic_matrix_eigval': EigResult(eigenvalues=array([ 53.59208766, 235.1251757 , 53.59208766, 31.67489592,\n", + " 31.67489592, 31.67489592]), eigenvectors=array([[-0.81649658, 0.57735027, -0.05412602, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, -0.67848839, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, 0.73261441, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 1. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 1. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 1. ]]))})" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + ")\n", + "\n", + "result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + ")\n", + "\n", + "sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + ")\n", + "\n", + "sym_dict, elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "a6b97eff-c327-4c7e-b280-16777d3f3c7d", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(structure: Atoms, potential: str, strains, stresses=None, energies=None):\n", + "\n", + " sym_dict, structure_dict = generate_structures_helper(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + " )\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + " )\n", + "\n", + " sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "a7c156eb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[114.103117 , 60.51102935, 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 114.103117 , 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 60.51102935, 114.103117 , 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 31.67489592,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 31.67489592, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 31.67489592]])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure = get_relaxed_structure(structure, potential_name)\n", + "elast_dict = fit_elastic_constants(\n", + " structure=relaxed_structure,\n", + " potential=potential_name,\n", + " strains=None)\n", + "elast_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e2b61396-042c-42a6-9320-1860442aff58", + "metadata": {}, + "outputs": [], + "source": [ + "def get_bulk_structure(\n", + " name: str,\n", + " crystalstructure=None,\n", + " a=None,\n", + " b=None,\n", + " c=None,\n", + " alpha=None,\n", + " covera=None,\n", + " u=None,\n", + " orthorhombic=False,\n", + " cubic=False,\n", + " basis=None,\n", + "):\n", + " from ase.build import bulk\n", + " equil_struct = bulk(\n", + " name=name,\n", + " crystalstructure=crystalstructure,\n", + " a=a,\n", + " b=b,\n", + " c=c,\n", + " alpha=alpha,\n", + " covera=covera,\n", + " u=u,\n", + " orthorhombic=orthorhombic,\n", + " cubic=cubic,\n", + " basis=basis,\n", + " )\n", + " return equil_struct" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "pyiron-latest", + "language": "python", + "name": "pyiron-latest" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_08-10-25.ipynb b/hackathon/elastic_constants/MD/MD_08-10-25.ipynb new file mode 100644 index 0000000..e4d4339 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_08-10-25.ipynb @@ -0,0 +1,33412 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan, Sriram\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "ad9d71eb", + "metadata": {}, + "source": [ + "## Reference" + ] + }, + { + "cell_type": "markdown", + "id": "fee4e526", + "metadata": {}, + "source": [ + "We compare our values with the paper - [M. Krief, et. al., Physical Review E, 103, 063307, 2021](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4)\n", + "\n", + "Potential used: Copper [Mishin potential](https://www.ctcms.nist.gov/potentials/entry/2001--Mishin-Y-Mehl-M-J-Papaconstantopoulos-D-A-et-al--Cu-1/)" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:63: UserWarning: calc_static_with_qe(), evaluate_with_qe() and optimize_positions_and_volume_with_qe() are not available as the import of the module named 'pwtools' failed.\n", + " raise_warning(module_list=quantum_espresso_function, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/__init__.py:41: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:94: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " get_tasks_for_elastic_matrix,\n", + " analyse_results_for_elastic_matrix\n", + ")\n", + "\n", + "from atomistics.calculators import (\n", + " evaluate_with_lammpslib, \n", + " get_potential_by_name, \n", + " calc_molecular_dynamics_npt_with_lammpslib, \n", + " calc_molecular_dynamics_nvt_with_lammpslib\n", + ")\n", + "\n", + "from atomistics.calculators.lammps.libcalculator import (\n", + " calc_static_with_lammpslib, \n", + " calc_molecular_dynamics_langevin_with_lammpslib\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True) # 4 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1007230a", + "metadata": {}, + "outputs": [], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5) # 500 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b07fbd51", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"\n", + "\n", + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "33410d3d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'Config': ['pair_style eam/alloy',\n", + " 'pair_coeff * * /cmmc/ptmp/pyironhb/pyiron_latest_env/share/iprpy/potential_LAMMPS/2001--Mishin-Y--Cu-1--LAMMPS--ipr1/Cu01.eam.alloy Cu'],\n", + " 'Filename': ['potential_LAMMPS/2001--Mishin-Y--Cu-1--LAMMPS--ipr1/Cu01.eam.alloy'],\n", + " 'Model': 'NISTiprpy',\n", + " 'Name': '2001--Mishin-Y--Cu-1--LAMMPS--ipr1',\n", + " 'Species': ['Cu'],\n", + " 'Citations': \"[{'Mishin_2001': {'title': 'Structural stability and lattice defects in copper: Ab initio, tight-binding, and embedded-atom calculations', 'journal': 'Physical Review B', 'volume': '63', 'pages': '224106', 'number': '22', 'doi': '10.1103/physrevb.63.224106', 'publisher': 'American Physical Society (APS)', 'url': 'https://doi.org/10.1103%2Fphysrevb.63.224106', 'year': '2001', 'author': ['Y. Mishin', 'M. J. Mehl', 'D. A. Papaconstantopoulos', 'A. F. Voter', 'J. D. Kress']}}]\"}" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "potential_df.to_dict()" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There was an error initializing an OpenFabrics device.\n", + "\n", + " Local host: cmti001\n", + " Local device: hfi1_0\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(\n", + " unit_cell, # 4 atoms\n", + " potential_name_str, \n", + " lmp_optimizer_kwargs\n", + ")\n", + "\n", + "relaxed_unit_cell # 4 atoms" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_lattice_constant_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(\n", + " structure=structure, \n", + " potential=potential,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " a_0 = structure_relaxed.get_volume()**(1/3)\n", + "\n", + " return a_0 # Angstrom" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "3.61500008107858" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_lattice_constant_at_0K(\n", + " structure=unit_cell, \n", + " potential=potential_name_str,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs)\n", + "\n", + "a_0 # Angstrom" + ] + }, + { + "cell_type": "markdown", + "id": "00afafda", + "metadata": {}, + "source": [ + "We get the same lattice constant at 0K as the reference paper!" + ] + }, + { + "cell_type": "markdown", + "id": "487ad8a1", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "6da5fde2", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(\n", + " structure : Atoms, \n", + " strain : float = 0.005\n", + " ) -> dict:\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "66091ecb", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(\n", + " tensor_dict : dict, \n", + " strain : float\n", + " ) -> list[float]:\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "fdd3131b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " relaxed_dict = calc_static_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " strained_dict = calc_static_with_lammpslib(\n", + " structure=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + "\n", + " relaxed_dict['stress_GPa'] = relaxed_dict['stress'] / 10**4\n", + " strained_dict['stress_GPa'] = strained_dict['stress'] / 10**4\n", + "\n", + " stress_diff = strained_dict['stress_GPa'] - relaxed_dict['stress_GPa']\n", + " \n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a1655241", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_0K(\n", + " structure : Atoms, \n", + " potential_name : str,\n", + " strain : float = 0.005\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_0K(\n", + " structure=structure,\n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "ee98fe5d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0, tensor_dict_0 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell, \n", + " potential_name=potential_name_str,\n", + " strain=0.005\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "8d66bf8b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[169.2 121.4 76.3]\n" + ] + } + ], + "source": [ + "elastic_constants_list_0 # GPa\n", + "\n", + "print(np.round(elastic_constants_list_0, 1))" + ] + }, + { + "cell_type": "markdown", + "id": "606b4dec", + "metadata": {}, + "source": [ + "In comparison with the [reference paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4 \"M. Krief, et. al., Physical Review E, 103, 063307, 2021\"),\n", + "\n", + "$C_{11}$=169.9GPa, $C_{12}$=122.6GPa, and $C_{44}$=76.2GPa" + ] + }, + { + "cell_type": "markdown", + "id": "3126ed0f", + "metadata": {}, + "source": [ + "#### Comparing with paper" + ] + }, + { + "cell_type": "markdown", + "id": "4d364244", + "metadata": {}, + "source": [ + "##### Larger super cell" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "11aa1585", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0_r5, tensor_dict_0_r5 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell.repeat(5), # 500 atoms\n", + " potential_name=potential_name_str,\n", + " strain=0.005\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "c33bfe89", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[169.2 121.4 76.3]\n" + ] + } + ], + "source": [ + "elastic_constants_list_0_r5 # GPa\n", + "\n", + "print(np.round(elastic_constants_list_0_r5, 1))" + ] + }, + { + "cell_type": "markdown", + "id": "873d8e00", + "metadata": {}, + "source": [ + "In comparison with the [reference paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4 \"M. Krief, et. al., Physical Review E, 103, 063307, 2021\"),\n", + "\n", + "$C_{11}$=169.9GPa, $C_{12}$=122.6GPa, and $C_{44}$=76.2GPa" + ] + }, + { + "cell_type": "markdown", + "id": "dc1c5c62", + "metadata": {}, + "source": [ + "##### Varied strain" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "afdb1be8", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0_r5_s_0d0005, tensor_dict_0_r5_s_0d0005 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell.repeat(5), \n", + " potential_name=potential_name_str,\n", + " strain=0.0005\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ce937595", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.8, 122.5, 76.2])" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_0_r5_s_0d0005\n", + "np.round(elastic_constants_list_0_r5_s_0d0005, 1) # GPa" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "7f31c5dc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0_r5_s_0d00005, tensor_dict_0_r5_s_0d00005 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell.repeat(5), \n", + " potential_name=potential_name_str,\n", + " strain=0.00005\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "96c34910", + "metadata": {}, + "source": [ + "But now, the strain is too small!" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "ad42bff1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.9, 122.6, 0. ])" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_0_r5_s_0d00005\n", + "np.round(elastic_constants_list_0_r5_s_0d00005, 1) #GPa" + ] + }, + { + "cell_type": "markdown", + "id": "d5c86034", + "metadata": {}, + "source": [ + "We increase the strain by a little bit" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "9ae7a71e", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0_r5_s_0d0001, tensor_dict_0_r5_s_0d0001 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell.repeat(5), \n", + " potential_name=potential_name_str,\n", + " strain=0.0001\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "a3af7799", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.9, 122.6, 76.2])" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.round(elastic_constants_list_0_r5_s_0d0001, 1) #GPa" + ] + }, + { + "cell_type": "markdown", + "id": "2d1ab724", + "metadata": {}, + "source": [ + "We get the same as the [reference paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4 \"M. Krief, et. al., Physical Review E, 103, 063307, 2021\"),\n", + "\n", + "$C_{11}$=169.9GPa, $C_{12}$=122.6GPa, and $C_{44}$=76.2GPa" + ] + }, + { + "cell_type": "markdown", + "id": "1d4d9117", + "metadata": {}, + "source": [ + "## Reference function to fit elastic constants (Jan + Yury)'s" + ] + }, + { + "cell_type": "markdown", + "id": "921512df", + "metadata": {}, + "source": [ + "Requires only `relaxed_unit_cell` and `potential_name_str` from previous cells" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "abfe2e9f", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(\n", + " structure: Atoms, \n", + " potential: str, \n", + " strains, \n", + " stresses=None, \n", + " energies=None):\n", + "\n", + " task_dict, sym_dict = get_tasks_for_elastic_matrix(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True\n", + " )\n", + "\n", + " potential_df = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict=task_dict,\n", + " potential_dataframe=potential_df,\n", + " )\n", + " \n", + " elastic_dict, sym_dict = analyse_results_for_elastic_matrix(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "07218d2f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_dict = fit_elastic_constants(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str,\n", + " strains=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "2b379a68", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9d40a4ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.7, 123.6, 76.2])" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_reference = [\n", + " elastic_dict['elastic_matrix'][0,0], \n", + " elastic_dict['elastic_matrix'][0,1], \n", + " elastic_dict['elastic_matrix'][3,3]\n", + " ]\n", + "\n", + "np.round(elastic_constants_list_reference, 1) # GPa" + ] + }, + { + "cell_type": "markdown", + "id": "21e47c80", + "metadata": {}, + "source": [ + "In comparison with the [reference paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4 \"M. Krief, et. al., Physical Review E, 103, 063307, 2021\"),\n", + "\n", + "$C_{11}$=169.9GPa, $C_{12}$=122.6GPa, and $C_{44}$=76.2GPa" + ] + }, + { + "cell_type": "markdown", + "id": "3bfb90c7", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "id": "d35b8305", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential : str, \n", + " temperature : float = 500,\n", + " run : int = 100000,\n", + " thermo : int = 100,\n", + " seed : int = 4928459, \n", + " cell_scale_value : int = 5,\n", + " thermostat : str = 'langevin'\n", + " ) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(cell_scale_value)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " # structure_npt = bulk('Cu', a=npt_lattice_constant, cubic=True)\n", + " # structure_repeated_npt = structure_npt.repeat(cell_scale_value)\n", + " \n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], \n", + " [0,npt_lattice_constant,0], \n", + " [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(cell_scale_value)\n", + "\n", + " if thermostat == 'nose-hoover':\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " nvt_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "markdown", + "id": "0c365654", + "metadata": {}, + "source": [ + "#### Comparing with paper" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "0982c65f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 200., 400., 600., 800., 1000.])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "temps = np.linspace(200, 1000, 5)\n", + "temps" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "d35d730e", + "metadata": {}, + "outputs": [], + "source": [ + "equilibriated_cells_dict = {}" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "46199553", + "metadata": {}, + "outputs": [], + "source": [ + "equilibriated_cells_dict_test = {}" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "641d2fe7", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "for temp in temps:\n", + " equilibriated_cells_dict[temp] = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=temp, \n", + " seed=1234,\n", + " cell_scale_value=5\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "2eaf66a3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{200.0: Atoms(symbols='Cu500', pbc=True, cell=[18.13009526549904, 18.13009526549904, 18.13009526549904], momenta=...),\n", + " 400.0: Atoms(symbols='Cu500', pbc=True, cell=[18.189762350319793, 18.189762350319793, 18.189762350319793], momenta=...),\n", + " 600.0: Atoms(symbols='Cu500', pbc=True, cell=[18.25254286101205, 18.25254286101205, 18.25254286101205], momenta=...),\n", + " 800.0: Atoms(symbols='Cu500', pbc=True, cell=[18.32136441717797, 18.32136441717797, 18.32136441717797], momenta=...),\n", + " 1000.0: Atoms(symbols='Cu500', pbc=True, cell=[18.396310570465143, 18.396310570465143, 18.396310570465143], momenta=...)}" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "equilibriated_cells_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "f45c3fa6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 200., 400., 600., 800., 1000.])" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array([0]) + temps" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "id": "585b271d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.plot(temps, [((structure.get_volume()/(len(structure)/4))**(1/3)/a_0)-1 for _, structure in equilibriated_cells_dict.items()], \"--o\", color=\"blue\")\n", + "plt.plot(np.concatenate(([0], temps)),np.concatenate(([0], [(((structure.get_volume()/(len(structure)/4))**(1/3))/a_0)-1 for _, structure in equilibriated_cells_dict.items()])), \"--o\", color=\"blue\")\n", + "# plt.scatter(0, 0, marker=\"o\", s=20, color=\"blue\")\n", + "plt.xlim([0, 1000])\n", + "plt.ylim([0, 0.018])\n", + "\n", + "plt.title('Thermal-expansion ratio')\n", + "plt.ylabel(\"L(T)/L(0)-1\")\n", + "plt.xlabel(\"T [K]\")\n", + "plt.grid()" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "4871541d", + "metadata": {}, + "source": [ + "Comparing with the paper\n", + "\n", + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Temperature-dependent Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "bd68a586", + "metadata": {}, + "source": [ + "### Finite temperature Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "id": "61bd9d33", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array, \n", + " temperature : float,\n", + " run : int, \n", + " thermo : int, \n", + " seed : int, \n", + " thermostat : str\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " if thermostat == 'nose-hoover':\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " relaxed_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " strained_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + "\n", + " relaxed_dict['pressure_GPa'] = relaxed_dict['pressure'] / 10**4\n", + " strained_dict['pressure_GPa'] = strained_dict['pressure'] / 10**4\n", + "\n", + " stress_diff = -np.mean(strained_dict['pressure_GPa'][20:] - relaxed_dict['pressure_GPa'][20:], axis=0)\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "id": "9f46351a", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential_name : str, \n", + " temperature : float = 0, \n", + " strain : float = 0.005,\n", + " run : int = 10000,\n", + " thermo : int = 100, \n", + " seed : int = 4928459, \n", + " thermostat : str = 'langevin'\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_finite_temperature(\n", + " structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " thermostat=thermostat\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "50845aad", + "metadata": {}, + "source": [ + "#### Comparing with paper" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "id": "82533806", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{200.0: Atoms(symbols='Cu500', pbc=True, cell=[18.13009526549904, 18.13009526549904, 18.13009526549904], momenta=...),\n", + " 400.0: Atoms(symbols='Cu500', pbc=True, cell=[18.189762350319793, 18.189762350319793, 18.189762350319793], momenta=...),\n", + " 600.0: Atoms(symbols='Cu500', pbc=True, cell=[18.25254286101205, 18.25254286101205, 18.25254286101205], momenta=...),\n", + " 800.0: Atoms(symbols='Cu500', pbc=True, cell=[18.32136441717797, 18.32136441717797, 18.32136441717797], momenta=...),\n", + " 1000.0: Atoms(symbols='Cu500', pbc=True, cell=[18.396310570465143, 18.396310570465143, 18.396310570465143], momenta=...)}" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "equilibriated_cells_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "id": "6659e458", + "metadata": {}, + "outputs": [], + "source": [ + "elastic_constants_dict = {}\n", + "tensor_dict = {}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c659e9e7", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "for temp, equilibriated_structure in equilibriated_cells_dict.items():\n", + " elastic_constants_dict[temp], tensor_dict[temp] = calculate_elastic_constants_at_finite_temperature(\n", + " structure=equilibriated_structure, \n", + " potential_name=potential_name_str,\n", + " temperature=temp,\n", + " strain=0.0001,\n", + " seed=1234,\n", + " thermo=100,\n", + " thermostat='langevin'\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "id": "b4285378", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{200.0: [2174669.4602611274, 1018898.4947703532, 441041.9870180025],\n", + " 400.0: [102953.0412111774, 2239282.3723677625, 450444.124337224],\n", + " 600.0: [2729935.1501242556, 2724024.822803784, 1814141.2255990584],\n", + " 800.0: [7255225.069917799, 1563706.9363174024, 986652.5363471605],\n", + " 1000.0: [299621.45449615887, 1412857.5283340057, 2972982.8263855726]}" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "id": "2bf8f64f", + "metadata": {}, + "outputs": [], + "source": [ + "c11s = np.array([constants[0] for temp, constants in elastic_constants_dict.items()])/(10**4)\n", + "c12s = np.array([constants[1] for temp, constants in elastic_constants_dict.items()])/(10**4)\n", + "c44s = np.array([constants[2] for temp, constants in elastic_constants_dict.items()])/(10**4)" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "id": "ac9baeb6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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AmDJlChwcHLRyXSMjI/Tr1w8Ad2UxZZzsMMYYU6tff/0VsbGxcHZ2xvjx47V67byurH379uGVWNswMJ3DyQ5jjDG1ef36tWKK+ezZs2Gt4q7a6uLj44Nq1aohIyMD+/bt0+q1me7iZIcxxpjaLF++HE+fPkXVqlU1vpN1QSQSiaJ1h7uyWB5OdhhjjKnFixcvsGjRIgDA3LlzYWpqKkoceclOeHg4kpOTRYmB6RZOdhhjjKnFokWLkJqaCm9vb0XCIYY6derAy8sLOTk52LVrl2hxGKLExESMGzcOVapUgbm5Odzc3NC1a1ccO3ZMqRwRoVOnTpBIJNi9e3eB58rKykK9evUgkUgQFRWl0bg52WGMMVZsT548wYoVKwAAISEhMDIS9/aSl2yFhoaKGochefDgAXx8fHD8+HEsXrwY0dHRCA8PR+vWrfHVV18plV22bBkkEskHzzdlyhStrL8E8K7njDHG1GDu3LnIzMxEy5Yt0alTJ7HDQb9+/TBjxgwcO3YMT58+hZOTk9gh6b0xY8ZAIpHgwoULSgPP69Spg+HDhyv+fe3aNSxduhQXL16Ei4tLgec6dOgQjhw5grCwMBw6dEjjsXOywxhjrFj+++8//P777wCEVp2PfaPXhqpVq6JRo0a4cOECduzY8U7Lg64gAtLTxbm2lRWg6q/q5cuXCA8Px/z58wucYWdvbw8ASE9PR2BgIFauXAlnZ+cCz/X06VOMHDkSu3fvhpWVVVHDLxROdhhjjBXLrFmzIJPJEBAQgObNm4sdjkL//v1x4cIFhIaG6myyk54OlColzrVfvQJUXRng7t27ICLUrFnzg+W+/vprNGvWDN27dy/wOBFh6NChGD16NHx9ffHgwYNCRl00PGaHMcZYkV25cgXbtm2DRCLB/PnzxQ5HSd++fSGRSHD69Gk8evRI7HD0GhEBwAdb7fbu3Yvjx49j2bJl7y2zYsUKpKamIigoSN0hfhAnO4wxxoosb7PPgQMHwtvbW+RolJUvXx4tW7YEAGzbtk3kaApmZSW0sIjxKEwPkoeHByQSCW7evPneMsePH8e9e/dgb28PExMTmJgInUe9evWCv7+/osy5c+dgbm4OExMTVKtWDQDg6+uLIUOGFPnn+DESykvXSrDU1FTY2dlBKpXC1tZW7HAYY0wvnDhxAp988glMTExw+/ZtVKlSReyQ3rFmzRp8+eWX8PHxwaVLl0SNJTMzE7GxsXB3d4eFhYWosRRFp06dEB0djdu3b78zbiclJQWZmZl4/vy50vNeXl5Yvnw5unbtCnd3dzx69AipqamK4/Hx8ejQoQN27NiBxo0bo0KFCu9c90M/N1Xv3zxmhzHGWKERkaIrYtSoUTqZ6ABCq8LYsWNx+fJl3LlzBx4eHmKHpLdWrVqFZs2aoVGjRpg7dy68vb2Rm5uLiIgIrF69Gjdv3ixwUHLFihXh7u6u+P83lfr/AUtVq1YtMNFRF+7GYowxVmh79+7F+fPnYWVlhZkzZ4odznuVK1cObdu2BcBr7hSXu7s7rly5gtatW2Py5Mnw9PREu3btcOzYMaxevVrs8D6Iu7HA3ViMMVYYMpkM3t7e+PfffzFjxgzMmzdP7JA+aMOGDRg6dChq1aqFGzduiDY1Xt+7scSijm4sbtlhjDFWKJs2bcK///4LBwcHfPPNN2KH81E9evSAmZkZbt68iejoaLHDYSLgZIcxxpjKsrKyMHv2bABAUFCQYjE5XWZnZ4fOnTsD4K6skoqTHcYYYyr73//+h0ePHsHV1RVjx44VOxyVBQYGAhCSHR69UfJwssMYY0wlaWlpivE5c+bMgaWlpcgRqa5Lly6wtrZGbGwsLly4IHY4TMs42WGMMaaSn376Cc+ePYOHhweGDRsmdjiFYm1tjW7dugEQvyuLW5YKRx0/L9GTnSdPnmDQoEEoU6YMrKysUK9ePVy+fFlxnIgwZ84cuLq6wtLSEv7+/rhx44bSObKysjBu3DiULVtW8YZ+/PixtqvCGGMG6/nz5/jxxx8BAPPmzVOsjqtP8rqytm7dCplMpvXrm5qaAhA2y2Sqy/t55f38ikLUd2tycjKaN2+O1q1b49ChQ3B0dFQsNZ1n8eLFWLp0KdavX4/q1atj3rx5aNeuHW7fvg0bGxsAwMSJE7Fv3z6EhoaiTJkymDx5MgICAnD58mUYGxuLVDvGGDMcISEhSEtLQ4MGDdC7d2+xwymS9u3bw97eHgkJCTh16pRiCwNtMTY2hr29PZKSkgAAVlZWOrFDvK4iIqSnpyMpKQn29vbFup+Lus7OtGnT8M8//+DUqVMFHiciuLq6YuLEiZg6dSoAoRXHyckJixYtwqhRoyCVSlGuXDn8+eef6NevHwBh+Wk3NzccPHgQHTp0+GgcvM4OY4y936NHj1C9enVkZWUhPDxcpc9VXTVixAj88ccfGDVqFNasWaP16xMREhMTkZKSovVr6yt7e3s4OzsXmBiqev8WNdmpXbs2OnTogMePHyMyMhLly5fHmDFjMHLkSADA/fv3UbVqVVy5cgX169dXvK579+6wt7fHhg0bcPz4cbRp0wYvX76Eg4ODokzdunXRo0cPfPfdd+9cNysrC1lZWYp/p6amws3NjZMdxhgrQF6C4O/vj+PHj+t1a8TRo0fRrl07lClTBgkJCcXqGikOmUyGnJwcUa6tT0xNTT/YoqMXe2Pdv38fq1evxqRJkzB9+nRcuHAB48ePh7m5OT777DMkJiYCAJycnJRe5+TkhIcPHwIAEhMTYWZmppTo5JXJe/3bQkJCCkyCGGOMKbt58ybWr18PQPjs1OdEBwD8/f3h6OiIpKQkHD16FJ06dRIlDmNjYx5moUWiDlCWy+Vo0KABFixYgPr162PUqFEYOXLkO3tsvP3HRUQf/YP7UJmgoCBIpVLFIy4urngVYYwxAzVr1izI5XL06NEDTZo0ETucYjMxMUGfPn0AiD8ri2mPqMmOi4sLateurfRcrVq18OjRIwBQ7J76dgtNUlKSorXH2dkZ2dnZSE5Ofm+Zt5mbm8PW1lbpwRhjTNnFixcRFhYGiUSi8/tfFUberKxdu3YhMzNT5GiYNoia7DRv3hy3b99Weu6///5DpUqVAAg7rDo7OyMiIkJxPDs7G5GRkWjWrBkAwMfHB6ampkplEhISEBMToyjDGGOs8IKCggAAn332GerUqSNyNOrTtGlTuLm5IS0tDYcOHRI7HKYFoiY7X3/9Nc6dO4cFCxbg7t272Lx5M9auXYuvvvoKgNB9NXHiRCxYsAC7du1CTEwMhg4dCisrKwwYMACAsOfJiBEjMHnyZBw7dgxXr17FoEGD4OXlhbZt24pZPcYY01tHjx7FsWPHYGZmhjlz5ogdjloZGRkpZu9u2bJF5GiYVpDI9u3bR56enmRubk41a9aktWvXKh2Xy+UUHBxMzs7OZG5uTq1ataLo6GilMhkZGTR27FgqXbo0WVpaUkBAAD169EjlGKRSKQEgqVSqljoxxpg+k8vl5OvrSwBowoQJYoejEZcuXSIAZGlpSampqWKHw4pI1fu3qFPPdQWvs8MYY/nCwsLQu3dvWFtb4/79+3B0dBQ7JLUjItSoUQN37tzBX3/9pegtYPpF1fu36NtFMMYY0x25ubmYMWMGAGDy5MkGmegAwjCJ/v37A+CurJKAkx3GGGMKGzZswO3btxVb7xiyvGTn8OHDePnypcjRME3iZIcxxhgAIDMzUzEYecaMGQbfrV+7dm14e3sjJycHu3btEjscpkGc7DDGGAMArFq1Co8fP4abmxu+/PJLscPRCu7KKhk42WGMMQapVIoFCxYAAObMmQMLCwuRI9KOvCnoJ06ceO8WQ0z/cbLDGGMMS5YswYsXL1CzZk189tlnYoejNVWqVEHjxo0hl8uxY8cOscNhGsLJDmOMlXBJSUlYunQpAGD+/PkwMRF1j2it464sw8fJDmOMlXDz58/H69ev0bBhQ/Ts2VPscLSub9++kEgkOHPmDB4+fCh2OEwDONlhjLES7MGDB1i9ejUAICQkBBKJROSItM/V1RV+fn4AgG3btokcDdMETnYYY6wECw4ORk5ODtq2bYs2bdqIHY5ouCvLsHGywxhjJVRMTAz+/PNPAFDMxCqpevXqBRMTE1y9ehW3b98WOxymZpzsMMZYCTVz5kwQEXr16oWGDRuKHY6oypYti3bt2gEAtm7dKnI0TN042WGMsRLo7Nmz2LNnD4yMjDBv3jyxw9EJb3Zl8R7ZhoWTHcYYK2GICEFBQQCAYcOGoWbNmiJHpBt69OgBc3Nz3Lp1C9evXxc7HKZGnOwwxlgJc+TIEURGRsLc3BzBwcFih6MzbG1t0aVLFwBAaGioyNEwdeJkhzHGShC5XK5o1fnqq6/g5uYmckS6Ja8rKzQ0lLuyDAgnO4wxVoJs374dV69ehY2NjSLpYfm6dOkCa2trPHjwAOfPnxc7HKYmnOwwxlgJkZOTg5kzZwIAvv32W5QtW1bkiHSPlZUVunfvDoC7sgwJJzuMMVZCrFu3Dnfv3kW5cuXw9ddfix2OzgoMDAQgrKYsk8lEjoapAyc7jDFWAqSnp+O7774DIKyvU6pUKZEj0l3t27eHvb09EhIS8Pfff4sdDlMDTnYYY6wEWLlyJeLj41GpUiWMGjVK7HB0mpmZGXr16gWAu7IMBSc7jDFm4FJSUrBw4UIAwNy5c2Fubi5yRLovrytrx44dyMnJETkaVlyc7DDGmIH74YcfkJycjDp16mDgwIFih6MX/P394eTkhJcvXyIiIkLscFgxcbLDGGMGLCEhAcuWLQMAzJ8/H8bGxuIGpCeMjY3Rp08fANyVZQg42WGMMQM2b948pKeno0mTJujWrZvY4eiVvK6s3bt3IyMjQ+RoWHFwssMYYwbq3r17WLt2LQBg4cKFkEgkIkekX5o0aYKKFSsiLS0NBw8eFDscVgyc7DDGmIEKDg5Gbm4uOnToAD8/P7HD0TtGRkbo168fAO7K0nec7DDGmAG6du0aNm/eDABYsGCByNHor7yurP379yMtLU3kaFhRcbLDGGMGaMaMGSAi9OvXDw0aNBA7HL1Vr149VK9eHZmZmdizZ4/Y4bAi4mSHMcYMzOnTp3HgwAEYGxvj+++/FzscvSaRSJR2Qmf6iZMdxhgzIESEadOmAQBGjBgBDw8PkSPSf3nJzuHDh/Hy5UuRo2FFwckOY4wZkIMHD+Kff/6BhYUFZs+eLXY4BqFWrVqoW7cucnNzERYWJnY4rAg42WGMMQMhl8sRFBQEABg/fjzKly8vckSGg7uy9BsnO4wxZiC2bNmC6Oho2NnZYerUqWKHY1Dykp0TJ04gISFB5GhYYXGywxhjBiA7O1vRbTVlyhSULl1a5IgMS+XKldGkSRMQEbZv3y52OKyQONlhjDED8Ntvv+H+/ftwcnLChAkTxA7HIHFXlv4SNdmZM2cOJBKJ0sPZ2VlxnIgwZ84cuLq6wtLSEv7+/rhx44bSObKysjBu3DiULVsW1tbW6NatGx4/fqztqjDGmGhev36NuXPnAgBmz54Na2trkSMyTH369IFEIsHZs2fx4MEDscNhhSB6y06dOnWQkJCgeERHRyuOLV68GEuXLsXKlStx8eJFODs7o127dkqrWE6cOBG7du1CaGgoTp8+jVevXiEgIAAymUyM6jDGmNYtX74cT58+RZUqVfD555+LHY7BcnV1hb+/PwBg69at4gbDCkX0ZMfExATOzs6KR7ly5QAIrTrLli3DjBkz8Omnn8LT0xMbNmxAenq6Ygl0qVSK33//HUuWLEHbtm1Rv359bNq0CdHR0Th69KiY1WKMMa14+fIlFi9eDACYO3cuzMzMRI7IsHFXln4SPdm5c+cOXF1d4e7ujv79++P+/fsAgNjYWCQmJqJ9+/aKsubm5vDz88OZM2cAAJcvX0ZOTo5SGVdXV3h6eirKFCQrKwupqalKD8YY00eLFi2CVCqFt7e3Yh8npjm9evWCiYkJoqKicOvWLbHDYSoSNdlp3LgxNm7ciMOHD+PXX39FYmIimjVrhhcvXiAxMREA4OTkpPQaJycnxbHExESYmZnBwcHhvWUKEhISAjs7O8XDzc1NzTVjjDHNe/LkCX7++WcAwmafRkaif381eGXKlFF8weauLP0h6l9Gp06d0KtXL3h5eaFt27Y4cOAAAGDDhg2KMhKJROk1RPTOc2/7WJmgoCBIpVLFIy4urhi1YIwxccydOxeZmZlo0aIFOnfuLHY4JUZeV9aWLVtARCJHw1ShU18DrK2t4eXlhTt37ihmZb3dQpOUlKRo7XF2dkZ2djaSk5PfW6Yg5ubmsLW1VXowxpg+uXPnDn7//XcAQmv1x74EMvXp3r07LCwscPv2bVy7dk3scJgKdCrZycrKws2bN+Hi4gJ3d3c4OzsjIiJCcTw7OxuRkZFo1qwZAMDHxwempqZKZRISEhATE6MowxhjhmjWrFmQyWTo0qULWrRoIXY4JYqtrS26dOkCgAcq6wtRk51vvvkGkZGRiI2Nxfnz59G7d2+kpqZiyJAhkEgkmDhxIhYsWIBdu3YhJiYGQ4cOhZWVFQYMGAAAsLOzw4gRIzB58mQcO3YMV69exaBBgxTdYowxZoiuXLmCrVu3QiKRYMGCBWKHUyK9OSuLu7J0n4mYF3/8+DECAwPx/PlzlCtXDk2aNMG5c+dQqVIlAMKS5xkZGRgzZgySk5PRuHFjHDlyBDY2Nopz/PTTTzAxMUHfvn2RkZGBNm3aYP369TA2NharWowxplHTp08HAAwYMADe3t4iR1MydenSBaVKlcLDhw9x7tw5NG3aVOyQ2AdIiFNSpKamws7ODlKplMfvMMZ02smTJ9G6dWuYmJjg1q1bqFq1qtghlViDBw/Gpk2bMH78eCxfvlzscEokVe/fOjVmhzHG2PsREYKCggAAX3zxBSc6Isvrytq2bRuv2q/jONlhjDE9sXfvXpw7dw5WVlaYOXOm2OGUeO3atYODgwMSExMRGRkpdjjsAzjZYYwxPSCTyRRjdSZOnAgXFxeRI2JmZmbo3bs3AJ6Vpes42WGMMT3w119/4d9//4WDgwO+/fZbscNh/y+vK2vHjh3Izs4WORr2PpzsMMaYjsvKysLs2bMBANOmTYO9vb24ATEFPz8/ODs7Izk5WWnNN6ZbONlhjDEd97///Q8PHz6Eq6srxo4dK3Y47A3Gxsbo27cvAO7K0mWc7DDGmA5LS0vDvHnzAACzZ8+GlZWVyBGxt+V1Ze3evRvp6ekiR8MKwskOY4zpsGXLluHZs2eoVq0ahg8fLnY4rABNmjRBpUqV8OrVKxw8eFDscFgBONlhjDEd9fz5c/zwww8AgHnz5sHU1FTkiFhBJBIJ+vXrB4C7snQVJzuMMaajQkJCkJaWhvr166NPnz5ih8M+IDAwEACwf/9+pKamihwNexsnO4wxpoPi4uLwyy+/AAAWLFgAIyP+uNZldevWRY0aNZCVlYU9e/aIHQ57C//1MMaYDvruu++QlZUFPz8/dOjQQexw2EdIJBKlndCZbuFkhzHGdMytW7ewbt06AEJXlkQiETkipoq8ZOfIkSN48eKFyNGwN3GywxhjOmbmzJmQy+Xo3r07mjZtKnY4TEU1a9ZEvXr1kJubi7CwMLHDYW/gZIcxxnTIxYsXERYWBolEolhfh+kP7srSTZzsMMaYDsnb7HPw4MHw9PQUORpWWHlT0E+ePImEhASRo2F5ONlhjDEdcfToURw9ehSmpqb47rvvxA6HFUHlypXRtGlTEBG2bdsmdjjs/3GywxhjOoCIEBQUBAD48ssvUblyZXEDYkXGXVm6h5MdxhjTATt37sSlS5dgbW2NGTNmiB0OK4a+ffvCyMgI586dQ2xsrNjhMHCywxhjosvNzcXMmTMBAJMmTYKjo6PIEbHicHZ2hr+/PwBg69at4gbDAHCywxhjotu4cSNu3bqFMmXKYPLkyWKHw9SAu7J0Cyc7jDEmoszMTAQHBwMQZmLZ2dmJHBFTh169esHExATXrl3DzZs3xQ6nxONkhzHGRLRq1So8fvwYFSpUwJgxY8QOh6lJ6dKlFdt8cOuO+DjZYYwxkaSmpmLBggUAgDlz5sDCwkLkiJg6vdmVRUQiR1OycbLDGGMiWbJkCV68eIEaNWpgyJAhYofD1Kx79+6wsLDAf//9h6ioKLHDKdE42WGMMREkJSVhyZIlAID58+fDxMRE5IiYutnY2CAgIAAAsGXLFpGjKdk42WGMMRHMnz8fr1+/hq+vLz799FOxw2EakteVtXXrVsjlcpGjKbk42WGMMS178OAB1qxZAwAICQmBRCIROSKmKZ07d4aNjQ0ePXqEc+fOiR1OicXJDmOMadmcOXOQnZ2NNm3aoG3btmKHwzTI0tISPXr0AMBdWWLiZIcxxrQoJiYGGzduBCC06jDDl9eVtW3bNuTm5oocTcnEyQ5jjGnRzJkzQUT49NNP0bBhQ7HDYVrQtm1blC5dGklJSYiMjBQ7nBJJpeH/169fL/SJa9euzbMLGGPsDefOncOePXtgZGSEefPmiR0O0xIzMzP07t0ba9euxZYtW9CmTRuxQypxJKTCSkdGRkaQSCQqL4pkZGSE//77D1WqVCl2gNqQmpoKOzs7SKVS2Nraih0OY8wAERFat26NyMhIDB8+HL///rvYITEtOnHiBD755BPY29vj6dOnMDMzEzskg6Dq/Vvlppfz58+jXLlyHy1HRPD09FT1tIwxViIcOXIEkZGRMDc3V+yFxUqOVq1awcXFBQkJCThy5Ihi/R2mHSolO35+fqhWrRrs7e1VOmmrVq1gaWlZnLgYY8xgyOVyBAUFAQDGjBmDihUrihwR0zZjY2P07dsXy5cvx5YtWzjZ0TKVurEMHXdjMcY0adu2bejXrx9sbGxw7949lVrJmeE5d+4cmjZtCmtrayQlJcHKykrskPSeqvdvnZmNlbew1sSJExXPERHmzJkDV1dXWFpawt/fHzdu3FB6XVZWFsaNG4eyZcvC2toa3bp1w+PHj7UcPWOMFSwnJwczZ84EAHzzzTec6JRgjRs3RuXKlfH69WscOHBA7HBKlCJNl3r8+DH27t2LR48eITs7W+nY0qVLC32+ixcvYu3atfD29lZ6fvHixVi6dCnWr1+P6tWrY968eWjXrh1u374NGxsbAMDEiROxb98+hIaGokyZMpg8eTICAgJw+fJlGBsbF6V6jDGmNuvWrcOdO3dQrlw5fP3112KHw0QkkUjQv39/LFy4EKGhoejTp4/YIZUcVEhHjx4lKysrqlOnDpmYmFC9evXI3t6e7OzsqHXr1oU9HaWlpZGHhwdFRESQn58fTZgwgYiI5HI5OTs708KFCxVlMzMzyc7OjtasWUNERCkpKWRqakqhoaGKMk+ePCEjIyMKDw9XOQapVEoASCqVFjp+xhh7n/T0dHJ1dSUAtGzZMrHDYTogKiqKAJC5uTmlpKSIHY7eU/X+XehurKCgIEyePBkxMTGwsLBAWFgY4uLi4OfnV6Qs9auvvkKXLl3eWTI9NjYWiYmJaN++veI5c3Nz+Pn54cyZMwCAy5cvIycnR6mMq6srPD09FWUKkpWVhdTUVKUHY4yp28qVKxEfH4+KFSti9OjRYofDdIC3tzdq1qyJrKws7NmzR+xwSoxCJzs3b97EkCFDAAAmJibIyMhAqVKlMHfuXCxatKhQ5woNDcWVK1cKXDI9MTERAODk5KT0vJOTk+JYYmIizMzM4ODg8N4yBQkJCYGdnZ3i4ebmVqi4GWPsY1JSUhSfbXPnzoW5ubnIETFdIJFIEBgYCEC4BzLtKHSyY21tjaysLABCK8q9e/cUx54/f67yeeLi4jBhwgRs2rQJFhYW7y339m7ARPTRHYI/ViYoKAhSqVTxiIuLUzluxhhTxQ8//IDk5GTUrl0bgwYNEjscpkP69esHAIiIiCjUfZMVXaGTnSZNmuCff/4BAHTp0gWTJ0/G/PnzMXz4cDRp0kTl81y+fBlJSUnw8fGBiYkJTExMEBkZiZ9//hkmJiaKFp23W2iSkpIUx5ydnZGdnY3k5OT3limIubk5bG1tlR6MMaYuiYmJWLZsGQBg/vz5PFmCKalRowbq16+P3NxchIWFiR1OiVDoZGfp0qVo3LgxAGDOnDlo164dtm7dikqVKhVq+fM2bdogOjoaUVFRioevry8GDhyIqKgoVKlSBc7OzoiIiFC8Jjs7G5GRkWjWrBkAwMfHB6ampkplEhISEBMToyjDGGPaNm/ePKSnp6Nx48bo3r272OEwHcRdWdpVqEUF09LScO7cOeTk5KBRo0YoW7asWoPx9/dHvXr1FN+IFi1ahJCQEKxbtw4eHh5YsGABTp48qTT1/Msvv8T+/fuxfv16lC5dGt988w1evHhRqKnnvKggY0xd7t+/jxo1aiA3NxcnTpyAv7+/2CExHfTw4UNUrlwZEokEcXFxKF++vNgh6SW17411/fp1dOrUCYmJiSAi2NraYseOHe/MolKnKVOmICMjA2PGjEFycjIaN26MI0eOKBIdAPjpp59gYmKCvn37IiMjA23atMH69eu52ZgxJorZs2cjNzcX7du350SHvVelSpXQrFkznDlzBtu3b1daUJepn8otO507d0ZycjKWLFkCCwsLfPfdd7h9+zZu3bql6Rg1jlt2GGPqcP36ddSrVw9EhEuXLsHHx0fskJgOW7FiBcaPH4/GjRvj3LlzYoejl1S9f6uc7Dg6OuLgwYPw9fUFALx48QKOjo6QSqUoVaqUeqIWCSc7jDF16Nq1K/bv34++ffti69atYofDdFxiYiLKly8PuVyOe/fuoUqVKmKHpHfUvjfW8+fPlXbqLVOmDKysrPDs2bPiRcoYYwbg9OnT2L9/P4yNjfH999+LHQ7TA87OzmjdujUAcHKsYSonOxKJBGlpaYoVh6VS6TvP8UrEjLGSiIgwbdo0AMDw4cNRvXp1kSNi+qJ///4AeFaWpqncjWVkZPTBBf7y/l8mk6k/Sg3jbizGWHEcOHAAAQEBsLCwwJ07d1ChQgWxQ2J64uXLl3B2dkZOTg5u3LiB2rVrix2SXlH7bKwTJ06oJTDGGDMkcrkc06dPBwCMGzeOEx1WKKVLl0aHDh2wf/9+hIaGYu7cuWKHZJAKtc6OoeKWHcZYUW3evBkDBw6EnZ0d7t+/j9KlS4sdEtMzf/31FwYNGgQPDw/cvn37o1sisXxqb9l5240bN5S6rIyNjVGnTp2ino4xxvROdnY2Zs2aBQD49ttvOdFhRdK9e3dYWlrizp07uHLlCi9ZoAEqD1A+deoUGjZsqPh3kyZNUL9+fdSrVw/16tWDt7c3jh49qpEgGWNMF/3222+4f/8+nJycMGHCBLHDYXqqVKlSCAgIAMADlTVF5WRn1apVGDx4sNJzJ06cQGxsLO7fv48JEyZg9erVag+QMcZ00evXrxVTzGfNmqX3640xceXNytq6dSvkcrnI0RgelZOdixcvolGjRkrPVahQAZUqVULlypUxePBgnD17Vu0BMsaYLvr555+RmJgId3d3jBw5UuxwmJ7r3LkzbGxsEBcXhzNnzogdjsFROdl58uQJXFxcFP/esGEDnJ2dFf8uXbo0Xrx4od7oGGNMB718+RKLFi0CAMydOxdmZmYiR8T0nYWFBXr27AmAu7I0QeVkx8bGBrGxsYp/f/rpp7CyslL8OzY2lmcyMcZKhEWLFkEqlcLLywuBgYFih8MMRF5X1vbt25GbmytyNIZF5WSncePG2Lhx43uPr1+/Ho0bN1ZLUIwxpquePHmCn3/+GQCwYMECGBsbixwRMxRt27ZFmTJlkJSUhJMnT4odjkFROdmZNGkSNmzYgG+//RZJSUmK55OSkjB58mRs2rQJkyZN0kiQjDGmK77//ntkZmaiefPm6NKli9jhMANiamqK3r17AwC2bNkicjSGpVCLCq5atQpff/01cnNzYWtrC4lEAqlUChMTEyxZsgRjx47VZKwaw4sKMsZUcefOHdSqVQsymQx///03WrZsKXZIzMCcPHkSrVu3hr29PRITE2Fubi52SDpN1ft3oVdQjouLw44dO3Dnzh0AgIeHB3r37g03N7fiRSwiTnYYY6ro378/tm7dis6dO+PAgQNih8MMkEwmQ8WKFREfH4+9e/eia9euYoek0zSW7BgiTnYYYx9z9epVNGjQAAAQFRWFunXrihwRM1Rff/01li1bhsDAQGzevFnscHSaqvdvlcbs7N27Fzk5OSpf/ODBg8jIyFC5PGOM6bq8zT4HDBjAiQ7TqLxZWXv27MHr169FjsYwqJTs9OzZEykpKSqftH///khISChqTIwxplNOnjyJ8PBwmJiY8K7UTOMaNWoEd3d3pKenc3epmqi0ESgRYejQoSoPlMrMzCxWUIwxpiuICEFBQQCAkSNHomrVqiJHxAydRCJB//79ERISgi1btqBv375ih6T3VBqzM2zYsEKf+IcffkDZsmWLFJS28Zgdxtj77N27V7Er9b1795RWkmdMU65fv466devCzMwMSUlJsLOzEzsknaTq/Vullp1169apLTDGGNMXMplMMVZnwoQJnOgwrfHy8kKtWrVw8+ZN7N69G0OGDBE7JL2m8qKCjDFW0vz111+4ceMG7O3tMWXKFLHDYSWIRCJRbEXCCwwWHyc7jDFWgKysLAQHBwMApk2bBgcHB5EjYiVNv379AABHjx7Fs2fPRI5Gv3GywxhjBVi7di0ePHgAFxcXjBs3TuxwWAlUvXp1NGjQADKZDGFhYWKHo9c42WGMsbekpaXh+++/BwDMnj0bVlZWIkfESiruylIPTnYYY+wty5Ytw7Nnz1C1alWMGDFC7HBYCZY37fzUqVN4/PixyNHoL5WTnePHj6N27dpITU1955hUKkWdOnVw6tQptQbHGGPa9vz5c/z4448AgHnz5sHU1FTkiFhJVrFiRTRv3hxEhO3bt4sdjt5SOdlZtmwZRo4cWeA8djs7O4waNQpLly5Va3CMMaZtCxcuRGpqKurVq8eLuTGdwF1ZxadysnPt2jV07Njxvcfbt2+Py5cvqyUoxhgTQ1xcHFauXAkAWLBgAYyMuKefia93794wMjLCxYsXce/ePbHD0Usq/yU/ffr0g825JiYmPDWOMabXvvvuO2RlZaFVq1Yf/HLHmDY5OTnhk08+AQBs3bpV5Gj0k8rJTvny5REdHf3e49evX+fVRRljeuvWrVuK1eJDQkIgkUhEjoixfNyVVTwqJzudO3fG7NmzC9zkMyMjA8HBwQgICFBrcIwxpi2zZs2CXC5Ht27d0KxZM7HDYUxJz549YWpqipiYGMTExIgdjt5RaSNQQOjGatCgAYyNjTF27FjUqFEDEokEN2/exC+//AKZTIYrV67AyclJ0zGrHW8EyljJdvHiRTRq1AgSiQTXr1+Hp6en2CEx9o5u3bph3759mDlzpmIdqJJO1fu3yi07Tk5OOHPmDDw9PREUFISePXuiR48emD59Ojw9PfHPP//oZaLDGGN5m30OGjSIEx2ms/K6skJDQ6FiOwX7fyq37LwpOTkZd+/eBRHBw8ND7/eM4ZYdxkquY8eOoW3btjA1NcXt27fh7u4udkiMFejVq1dwdHRERkYGLl68CF9fX7FDEp3aW3be5ODggIYNG6JRo0bFSnRWr14Nb29v2NrawtbWFk2bNsWhQ4cUx4kIc+bMgaurKywtLeHv748bN24onSMrKwvjxo1D2bJlYW1tjW7duvEqk4wxlRARgoKCAACjR4/mRIfptFKlSqFr164AhNYdpjpRF5GoUKECFi5ciEuXLuHSpUv45JNP0L17d0VCs3jxYixduhQrV67ExYsX4ezsjHbt2iEtLU1xjokTJ2LXrl0IDQ3F6dOn8erVKwQEBEAmk4lVLcaYnti1axcuXrwIa2trzJgxQ+xwGPuo/v37AxCmoMvlcpGj0SOkYxwcHOi3334juVxOzs7OtHDhQsWxzMxMsrOzozVr1hARUUpKCpmamlJoaKiizJMnT8jIyIjCw8NVvqZUKiUAJJVK1VcRxphOy8nJoZo1axIAmjlzptjhMKaSjIwMsrW1JQD0999/ix2O6FS9f+vM8qAymQyhoaF4/fo1mjZtitjYWCQmJqJ9+/aKMubm5vDz88OZM2cAAJcvX0ZOTo5SGVdXV3h6eirKFCQrKwupqalKD8ZYyfLnn3/i1q1bKF26NL755huxw2FMJRYWFujZsycA/erKuntX3OuLnuxER0ejVKlSMDc3x+jRo7Fr1y7Url0biYmJAPDODC8nJyfFscTERJiZmb0zbujNMgUJCQmBnZ2d4uHm5qbmWjHGdFlmZiaCg4MBCDOx7OzsRI6IMdXldWVt374dubm5IkfzYTIZMHkyULs28Pff4sUherJTo0YNREVF4dy5c/jyyy8xZMgQ/Pvvv4rjb69iSkQfXdn0Y2WCgoIglUoVj7i4uOJVgjGmV1avXo24uDiUL18eY8aMETscxgqlTZs2KFu2LJ49e4bjx4+LHc57SaVAQACwdCmQkwNcvCheLKInO2ZmZqhWrRp8fX0REhKCunXrYvny5XB2dgaAd1pokpKSFK09zs7OyM7ORnJy8nvLFMTc3FwxAyzvwRgrGVJTUzF//nwAwJw5c2BpaSlyRIwVjqmpKXr37g1Ad7uy7t4FmjQBwsMBS0tg2zahhUcsoic7byMiZGVlwd3dHc7OzoiIiFAcy87ORmRkpGIpdx8fH5iamiqVSUhIQExMDC/3zhgr0NKlS/HixQtUr14dQ4cOFTscxookrytr586dyMrKEjkaZcePA40aAbduARUqAKdPA336iBuTiZgXnz59Ojp16gQ3NzekpaUhNDQUJ0+eRHh4OCQSCSZOnIgFCxbAw8MDHh4eWLBgAaysrDBgwAAAgJ2dHUaMGIHJkyejTJkyioGGXl5eaNu2rZhVY4zpoKSkJCxZsgQAMH/+fJiYiPoRyFiRtWzZEq6uroiPj0d4eDi6d+8udkgAgFWrgPHjhbE6jRsDu3YBurBHuKh/6U+fPsXgwYORkJAAOzs7eHt7Izw8HO3atQMATJkyBRkZGRgzZgySk5PRuHFjHDlyBDY2Nopz/PTTTzAxMUHfvn2RkZGBNm3aYP369TA2NharWowxHbVgwQK8evUKPj4+6NWrl9jhMFZkRkZG6NevH3766SeEhoaKnuzk5AATJgCrVwv/HjwYWLsWsLAQNSyFIm0XYWh4uwjGDN/Dhw9RvXp1ZGdn48iRI4ovVYzpqwsXLqBx48awsrJCUlISrK2tRYnj5Uuhm+r4cUAiARYuBL79Vvh/TdPodhGMMaZv5syZg+zsbHzyySfczc0MQsOGDVGlShWkp6dj3759osRw86YwPuf4caBUKWDPHmDKFO0kOoXByQ5jzODduHEDGzduBCCss/Wx5SsY0wcSiUQxUFmMWVmHDgkzru7dAypXBs6eBf5/6y6dw8kOY8zgzZw5E3K5HD179kSjRo3EDocxtclLdg4dOoSUlBStXJNIWDsnIABITQVatQIuXAA8PbVy+SLhZIcxZtDOnTuH3bt3w8jICPPmzRM7HMbUysvLC3Xq1EF2djZ27dql8etlZQEjRghr5sjlwOefAxERQLlyGr90sXCywxgzWJSVhV/HjUM5AEOGDEHt2rXFDokxtdNWV1ZSEtCmDbBuHWBkBCxfLsy4MjPT6GXVgpMdxphhyMkBrl0Dfv8d+PJLoFEjyKyt8fulS4gDsDwrC7h/X+woGVO7vGTn2LFjSEpK0sg1rl0DGjYE/vkHsLMTxuuMH697A5Hfh5Mdxpj+yc0FYmKA9euBsWOFUZK2tkC9ekK7+po1wMWLMJHJkAbAHIDN5s1A9erAkCHC0q6MGYi8LZdkMhl27Nih9vPv3g00bw48egR4eADnzwPt26v9MhrFyQ5jTLfJZMC//wIbNwqrljVvLiQ2Xl7AsGHAL78In76ZmcJXzk8+wc2uXdEPQBUAS4ODgVOngI4dhXNt3Chswdyvn/B1lTEDoImuLCJgwQKgZ0/g9WugXTvhT61GDbVdQmt4UUHwooKM6Qy5HLhzB7h0Kf9x9arwSfu2UqUAHx/A11d4+PgAVasi4tgxdOnSBTk5ORgzZgxWrlyZP9X80iVg/nzhq2qerl2BGTOEte0Z01NxcXGoWLGi4v8rVKhQrPNlZAgDkbdsEf49fjywZAmgazusqHr/5mQHnOwwJgq5XFig49Il4PJl4b9XrgBpae+WtbYGGjRQTm48PIRRkm+4ePEiWrdujdevX6Nv377YvHlzwVvHREcLX1m3bRPiAISvrTNnCvNoGdNDLVu2xOnTp/Hjjz9icjG2GI+PB7p3F/4kTUyExtMvvlBjoGrEyU4hcLLDmIYRAbGxyi02V64AUum7ZS0tgfr1lVtsatQAPrLf3e3bt9G8eXO8ePECbdq0wYEDB2Bubv7huP77T1jb/s8/hXFAANCihZD0tG+vP6MvGQOwatUqfPXVV/D19cXFixeLdI6LF4EePYSEp0wZYMcOwN9frWGqFSc7hcDJDmNqRAQ8fJjfWpPXcpOc/G5ZCwthUPGbLTY1axa6rfzJkydo1qwZHj16BB8fH5w4cUJpw+CPevAAWLxYmMmVnS085+srJD1du77TgsSYLkpKSoKLiwvkcjnu3LmDatWqFer1oaHCMLjMTKBOHWDvXqBKFQ0Fqyac7BQCJzuMFRER8PixclJz6RLw4sW7Zc3MgLp181trfH2FgcKmpsUK4eXLl2jVqhVu3LiB6tWr4/Tp0yhX1BXO4uOFgQlr1gDp6cJznp7CmJ4+fT7ausSY2Nq3b4+IiAjMmzcPM2bMUOk1cjkQHAzkrbkZEAD89ZcwD0DXcbJTCJzsMKYCIiEZeLPF5tIl4Nmzd8uamgqzpd7sivL0VPvqY+np6Wjbti3Onj0LV1dX/PPPP6hcuXLxT/zsGbBsGbBiRf4YourVgaAgYODAYidojGnKunXrMHz4cNSpUwcxMTEfLf/qFfDZZ0De4stTpgjD2fQlr+dkpxA42WGsAImJ77bYJCa+W87EREhk3uyK8vICPjZepphycnLQo0cPHDx4EPb29jh16hQ81b05T3IysHKlkPi8fCk8V6kSMHWq0N5vYaHe6zFWTCkpKXB0dEROTg6io6M/+Dfx8KEwEPnaNeF7yK+/ComPPuFkpxA42WElXlLSuy028fHvljM2Frqe3myx8fYWBhVrkVwux5AhQ7Bp0yZYWloiIiICzZs319wFX70SurZ+/BF4+lR4zsUF+PZbYZqKtbXmrs1YIXXv3h179+7FjBkz3rsf3Jkzwvo5SUmAk5PQstO0qZYDVQNOdgqBkx1Wojx/LiQ2byY3cXHvljMyAmrVUm6xqVsXsLLSfsxvICJ88803WLp0KYyNjbFnzx506dJFOxfPyBAGMS9aJIxVAoCyZYFJk4AxY4RFDRkTWWhoKAIDA1GlShXcvXs3f52p/7d+PTBqlDAWv149YM8e4P+X6NE7nOwUAic7zGAlJ787K+rBg3fLSSTC9O43Bw/Xqycs3KdjFi9ejKlTpwIANmzYgM/EaHfPzhZWYl64UFgrCBASnfHjhVWey5TRfkyM/b/Xr1/D0dER6enpuHDhAho2bAhAWEB86lRhDD4A9OoFbNig3w2TnOwUAic7zCCkpAhr17yZ3Lxv40sPj/zWGl9fYV2bwkzVFskff/yBESNGAECxF05Ti9xcYOtWYVXmmzeF56ythVaeSZMAZ2dx42MlVv/+/bF161ZMmjQJS5YsgVQKDBgAHDwoHJ89W5iBpe+rKnCyUwic7DC9k5oqbKPwZovNnTsFl61aVbnFpkEDvexu2bt3L3r27Am5XI4pU6Zg0aJFYoeUTy4XBj3Mny/8XgBh8PLnnwvTW9zcxI2PlTh79uxBjx49UL58eRw//gg9ehjh5k1heN369UDfvmJHqB6c7BQCJztMp716JdxA32yx+e8/YSr42ypXVh483KABULq01kNWt7///hsdOnRAZmYmhg0bht9///2dcQg6gQg4dAj4/nvg3DnhOVNTYaf1adOExJMxLcjKyoKTkxOk0vqwtT2C1FRTlC8vjM/x8RE7OvXhZKcQONlhOiM9HYiKUp7uffNmwYlNxYrvboRpgGNFrl27Bj8/P0ilUnTr1g1hYWEw0bXdCN9GBJw4IazSduKE8JyRERAYCEyfLsxoY0zDmjbdgHPnBgAwRaNGwv63Li5iR6VenOwUAic7TBQZGcICF2+22Pz7b/7GlG8qX165K8rHB3B01H7MWnb//n00b94ciYmJaNGiBY4cOQJLLU9zL7YzZ4TurbzBEhIJ8OmnwqrM9euLGxszSDk5wNdfCxt4AoC5+XYkJfWAra3hLYbJyU4hcLLDNC4rC7h+XbnFJiZGmB7xNmdn5cHDPj4lcqDr06dP0aJFC9y9exdeXl74+++/YW9vL3ZYRXflipD07NyZ/1yXLkLSo48LnDCd9PKlMB7n2DFAIiFYWs5DevpshIeHo0OHDmKHp3aq3r91vC2YMT2UnQ1ERyu32MTECF+33lauHNCwoXJ3lKur9mPWMampqejUqRPu3r2LypUrIzw8XL8THUAYPxUWBty4AYSEAFu2AAcOCI9PPhE2HfX3553WWZHdvAl06wbcvStMCvzrLwkOH07A6tXC2juGmOyoilt2wC07rBhycoSb15stNtev5++c/aYyZd5tsalQgW9ub8nMzETnzp1x4sQJlCtXDv/88w88PDzEDkv97t4V1unZsEGYwg4AzZoJLT2dOvH7ghVKeDjQr58wUbNSJWHHcm9v4NSpU2jVqhVsbW3x9OlTWBjYFifcjVUInOwwleTmCl+d3pzuHRUldFG9zcFBubXG11cYUMw3sA+SyWTo27cvdu7cCRsbG5w8eRINGjQQOyzNevQIWLwY+O23/PdS/fpCS0+PHvq/EArTKCJg+XJg8mRhuF/LlkIDYrlywnG5XI6KFSviyZMn2LVrF3r06CFqvOrGyU4hcLLDCpQ3o2b3biG5iYoSBhW/zc5OeeCwry/g7s6JTSEREUaPHo21a9fCzMwMhw4dwieffCJ2WNqTkAAsXQqsXg28fi08V7u20NLTt6+w4Spjb8jKEtav/OMP4d8jRgCrVgmber5p8uTJWLp0Kfr164fQ0FDtB6pBnOwUAic77B0nTwpLjJ46pfy8jY0w9uLNrqiqVfnbtxrMmjUL8+bNg0Qiwfbt29GrVy+xQxLH8+fCV/Wffxb6JACgWjVhnZ7Bg9+9k7ESKSlJ2O7h9Gnh42fpUmG3koK+Y128eBGNGjWCpaUlkpKSUEoHt4EpKk52CoGTHaZw+rSQ5OStjWJuDnz2GeDnJyQ3Hh6c2GjAihUrMH78eADAmjVrMGrUKJEj0gFSqTB3eOlS4MUL4Tk3N2Fzo+HDtb7TPNMd168LA5EfPhQalrduBT409piI4OHhgXv37mHz5s0IDAzUXrAapur9mz+1NSg+Ph7Dhw9Hat63M6a7zp0TPi1athQSHVNT4KuvhE0e164FBg4UNsrkREfttmzZokh05s6dy4lOHjs7YQHCBw+EnRudnYXd6ceOBapUAX78UVhdm5Uoe/YI49gfPhQa/PI+uj5EIpGgf//+AGBw3VgqI0ZSqZQAkFQqVds55XI5tWzZkgCQl5cXPXr0SG3nZmp08SJR585EwggdIhMToi++IHr4UOzISoTw8HAyMTEhADR27FiSy+Vih6S7MjKIfvmFqGLF/Pdr6dJE339PlJwsdnRMw+RyogULiCQS4Vffpg3Rixeqvz46OpoAkKmpKb18+VJzgWqZqvdvTnZIM8kOEdGlS5fI2dmZAJCrqytduXJFrednxXD1KlG3bvk3DWNjouHDie7fFzuyEuPcuXNkbW1NAKh///4kk8nEDkk/ZGUR/fEHUbVq+e9fW1uiGTOInj0TOzqmAenpRAMG5P+6x44lys4u/Hk8PT0JAP3+++/qD1IknOwUgqaSHSKihw8fKt5g1tbWtH//frVfgxVCdDRRr175nxpGRkSffUZ0547YkZUo//77L5UpU4YAUPv27SkrK0vskPRPbi7R5s1Ederkv5+trIgmTSKKjxc7OqYm8fFEjRrlNzyvXl30c82bN48AULt27dQXoMg42SkETSY7REQpKSnUrl07AkBGRka0cuVKjVyHfcC//xL165ffBiyREAUGEt28KXZkJc6jR4/Izc2NAFCjRo0oLS1N7JD0m0xGtGsXkY9PftJjbk40ZgzRgwdiR8eK4eJFovLl83ssjx8v3vnu3LmjuA89ffpUPUGKjJOdQtB0skNElJ2dTZ9//jkBIAD09ddfU25ursaux/7ff/8RDRyYn+QARH36EMXEiB1ZifT8+XOqVasWAaAaNWrQM+52UR+5nOjQIaLmzZXHoA0bJvwdML0SGkpkYSH8GmvXJrp7Vz3nbdiwIQEwmC/depHsLFiwgHx9falUqVJUrlw56t69O926dUupjFwup+DgYHJxcSELCwvy8/OjmLduVJmZmTR27FgqU6YMWVlZUdeuXSkuLk7lOLSR7BAJdQkJCVEkPD179qTXr19r9Jol1r17REOHCmNx8j74e/QgunZN7MhKrFevXlGTJk0IAJUvX54ecKuDZsjlRCdPErVtq9xdGxgodOMynSaTEc2alf+r69yZSJ23piVLlhAAatGihfpOKiK9SHY6dOhA69ato5iYGIqKiqIuXbpQxYoV6dWrV4oyCxcuJBsbGwoLC6Po6Gjq168fubi4UGpqqqLM6NGjqXz58hQREUFXrlyh1q1bU926dVVuOdFWspMnNDSUzM3NCQA1bNiQEhMTtXLdEuHBA6KRI4VvtHmfFgEBRJcuiR1ZiZadnU0dO3YkAOTg4PDOFxamIWfPCu//vL8FgKhnT/570FGvXhF9+mn+r+qbb4ShWeoUFxdHEomEABjELGG9SHbelpSURAAoMjKSiISWEGdnZ1q4cKGiTGZmJtnZ2dGaNWuISBgPY2pqSqGhoYoyT548ISMjIwoPD1fputpOdoiITp8+rRigWalSJbpx44bWrm2Q4uKIvvySyNQ0/5OiY0ei8+fFjqzEk8lkNHDgQAJAlpaWdObMGbFDKnmuXhW6b9/szu3Ykej0abEjY//v4UOievWEX42ZGdH69Zq7VqtWrQgA/fDDD5q7iJaoev/WqRXSpFIpAKB06dIAgNjYWCQmJqJ9+/aKMubm5vDz88OZM2cAAJcvX0ZOTo5SGVdXV3h6eirKvC0rKwupqalKD21r3rw5zp07Bw8PDzx8+BDNmjXD8ePHtR6H3ktIENZIr1pV2FMoJwdo00ZYCfnQIaBRI7EjLNGICJMmTcJff/0FExMThIWFoWnTpmKHVfLUqwds2wbcuCFsOWFsLGyT3aIF0Lo1cOyYkAIxUZw5AzRsKGy/5+gorGs6ZIjmrlcSFxjUmWQn70OxRYsW8PT0BAAkJiYCAJycnJTKOjk5KY4lJibCzMwMDg4O7y3ztpCQENjZ2Skebm5u6q6OSqpVq4azZ8+iRYsWkEql6NChA9avXy9KLHrn6VNg0iRhJdkVK4DsbKBVK2FPq6NHgebNxY6QAVi4cCGWL18OAFi3bh06deokckQlXK1awMaNwO3bwMiRwkrhJ08CbdsCTZsC+/dz0qNlGzYI+WZSElC3LnDxorBCsib17t0bxsbGuHz5Mu7cuaPZi+kInUl2xo4di+vXr2PLli3vHJO8tbMZEb3z3Ns+VCYoKAhSqVTxiIuLK3rgxVSmTBlEREQgMDAQubm5GDZsGGbNmgXiD5yCPX8u7A1UpQrw009AZqbwyXDsmPCh7ecndoTs//3222+YPn06AGDp0qUYNGiQyBExhapVhW1Q7t0TWkYtLIDz54GuXYH69YEdOwC5XOwoDZpMBkyZAgwdKnxX+/RToUG6YkXNX7tcuXJo27YtgBLUuqP5HrWPGzt2LFWoUIHuv7V67b179wjAOysPd+vWjT777DMiIjp27BgBeGf5a29vb5o9e7ZK1xdjzM7b5HI5zZw5UzFTa8CAAZSZmSlaPDrnxQui6dOJSpXKH3PQqBFReLgw+4TplF27dpGRkREBoGnTpokdDvuYxESiKVOU/75q1SLauJEoJ0fs6AyOVErUpUv+j3rWLGEWljatW7eOAFCtWrX0epsWvRigLJfL6auvviJXV1f6r4B1IPIGKC9atEjxXFZWVoEDlLdu3aooEx8fr/MDlN/njz/+UOwV1LJlS3r+/LnYIYkrOZkoOFhYDj/vk6FBA6L9+znJ0VEnT55UzDYcPny4Xn+QljjPnxPNnk1kb5//91alCtHatUT85Ust7t4V1s0BhHV03phbo1XJyclkZmZGAOj69eviBKEGepHsfPnll2RnZ0cnT56khIQExSM9PV1RZuHChWRnZ0c7d+6k6OhoCgwMLHDqeYUKFejo0aN05coV+uSTT3R66vnHHD16lGxtbQkAeXh40J2SuJWBVCpscPjmh663t7BSLN88ddbVq1cV793u3btTDrcK6CeplCgkhKhs2fy/vwoViH7+WdioiRXJiRPCSsgAkaursEKymHr06EEAKCgoSNxAikEvkp28Lpu3H+vWrVOUyVtU0NnZmczNzalVq1YU/dbCWBkZGTR27FgqXbo0WVpaUkBAQKHWD9C1ZIeIKCYmhipVqkQAqGzZsvTPP/+IHZJ2pKURLVyY/4mQt3zo9u3ab+dlhXL37l1ycnIiANSqVSulLy1MT716RfTTT8KdOe/v0dGRaNEioje+cLKP+9//8pf/atiQ6MkTsSMS1nwDQO7u7nrbAqsXyY6u0MVkh4goISGBfH19CQCZm5srddUZnNeviX78kahcufwP1Ro1iLZsUf+qWkztEhISqEqVKgSA6tatSykpKWKHxNQpM5NozRqiypXz/z4dHIi++47orfGSTFlOjrBLed6PbcAA3Wkce/XqFVlZWREAOq+na5JxslMIuprsEAlvxu7duytavUJCQvQ2Ay9QRgbRsmVETk75nwZVqwoDIznJ0QspKSlUr149xTfEeB3acTsrS9gY/K+/1LvkfomVnS2sdle9ev7fq40N0bRpRAaysaQ6vXypvGvHggW61wvfv39/AkATJ04UO5Qi4WSnEHQ52SEiys3NpYkTJyoSns8//5yys7PFDqt4MjOJfvlFuXm8cmWiP/7g2R96JCMjg/z8/AgAOTo66sz4MrmcaO9eIg+P/LeXhQVRr15Cj6iufLPWW7m5wshaL6/8H7ClJdHEiUSPH4sdnU64eTP//WdtLQw31EV79uwhAOTi4qKXm1NzslMIup7s5FmxYoViOm/79u31s6sgK0vovHZzy/+QdHMTnsvKEjs6Vgg5OTmKAY42NjbvLBEhlmvXiNq0UR5iUqOG8vZQpUoRDRokTOrjt10xyGREe/YIg1DyfrhmZkSjRhG9tZRISRIeTmRnJ/w4KlXS7f2H87ZgAkAnT54UO5xC42SnEPQl2SEi2rdvn6KP1dPTkx4+fCh2SKrJyRFabd7s83d1FVp3eEqr3pHL5fT5558TADIzM6MTJ06IHRI9fUr0xRfCBt8Akbm50LsilQotPVevEk2dKtx83kx8HByIPv+c6Ngx7jktMrmc6PBholat8n+wxsZEQ4YQ3boldnRaI5cL47nz3oMtWuhH796wYcMIAI0aNUrsUAqNk51C0Kdkh4jo8uXL5OLiomh6vKTLOxjn5grjb6pVy/8QdHIiWr5cGK/D9NL06dMJABkZGVFYWJiosWRmCpODbGzy32J9+ry/YUEuFzYDHz+eyNlZOfFxdiYaN47ozBndG1uhNyIjidq3z/+hSiRE/frpdvOGGmRlCUlzXrWHDdOf73FHjhwhAFSmTBm9GyLByU4h6FuyQ0T06NEj8vLyIgBkZWVFe/fuFTskZbm5wsjQN/sPypUTZly9fi12dKwYli1bphg/tnbtWtHikMuJduwQ1rzLe4v5+BD9/bfq58jNJTp+nGjkSOXVDvK6H6ZMIbpyhROfIjl/nqhbN+UfarduwvMGJimJqGVLoYpGRkRLl+rXeyYnJ4fKlStHAOjQoUNih1MonOwUgj4mO0RC3O3bt1d8w/7555/FDknow9++nahOnfwPuNKlhbVz0tLEjo4V06ZNmxSJzrx580SL4/Jl5R4TV1eiDRuKtxRTVhbRgQNEgwcr75qQtwpCcLAw6JQV0rVrQsuORJL/A23fXmgBMgDXr+f3ztvaEh08KHZERTNmzBgCoNiKSV9wslMI+prsEBFlZ2fTyJEjFTegiRMnijOiXi4Xpht4e+d/oNnbE82bx3N+DcShQ4cUW5mMHz9elCUQnjwhGjo0/75paSnsbvDqlXqvk54utBr17i3M4noz8albV8jdY2PVe02Dd+uWMIbH2Dj/h9mypTDWR5+aQd6wZ09+YlytGtG//4odUdGdOnVKMdkgQ4+GGHCyUwj6nOwQCYNFFy5cqEh4unfvTq/U/en//osLU1oaNMj/ALO1Fb4GJydrJwamcWfPnlUMjA8MDCSZllezTk8Xdg+xts5/mw0cSFSIhdKLLDWV6M8/hY0b81bAzXs0aSIMP9OhpYV03/37wmwtM7P8H2TDhkLmoCerpMvlwm4aeUn3J58IexXrM5lMRhUqVCAAtHPnTrHDURknO4Wg78lOnq1btyo2YPT19aWEhATNXUwuF+ZXNmqkPJ93xgz9/6tnSm7cuEGlS5cmANShQwfK0uJcbblcGPpVsaJygnHunNZCUPL8ubAn5iefKPfKSCRErVsLKyiU9L17Vfb4sbAuj6Vl/g/Sy0tYv0eHp8VlZAiJdl7IY8YIay0agsmTJxMA6tu3r9ihqIyTnUIwlGSHiOiff/6hsmXLEgCqWLEixcTEqPcCcjnR0aNEzZrl/7VbWQkjOZ89U++1mOgePnyo+LbXuHFj7bUYkpDQNG2qvBzT5s260+MRHy/si/lmjIDQ+tO5szAJ0QA+UjTv6VNhjYA3p9NVry6s1KxjWUR8PFHjxvkz61etEjsi9bp06RIBIEtLS0rTkzGWnOwUgiElO0TChozVq1cnAGRra0sRERHqOXFkpPKoUAsLokmTiBIT1XN+plOePXtGNWvWJABUq1Yteq6lJotHj5S/OVtbC11YurzqcWysMP29fn3lxIdXbS6Ely+FvbYcHJRXVV+9WifmcF+6RFS+fP7aTMeOiR2R+snlcqpWrRoBoL/++kvscFTCyU4hGFqyQ0T0/PlzatmyJQEgExMT+v3334t+sn/+UV6S1sxMWIyEByoYrLS0NGrcuDEBoAoVKtAjLQyOefVKGGyc16shkQiDkXVhd+jCuHmTaM6cgldtHjiQV23+qNRUIXN0dMz/4bm4CNPWP/tMWCBp9mxh9b5164SJESdOCKtGxsYKYwXVPPZn27b892WtWkQ6siuKRsycOZMAUNeuXcUORSWq3r8lREQo4VJTU2FnZwepVApbW1uxw1GbrKwsDB8+HJs3bwYAzJgxA99//z0kEolqJ7hwAZg9Gzh8WPi3qSnw+efA9OlAhQoaipqJLTs7G926dcPhw4dRunRpnD59GrVq1dLY9eRyYNMmICgIiI8XnmvZEvjpJ8DHR2OX1Tgi4No1IDRUeDx8mH/MwQHo1QsIDAT8/ABjY/Hi1Fnp6cDvvwOLFgFPnhTutRIJYGsL2NvnPxwclP/9oYeNDWBkBLkc+O47YO5c4bSdOgFbtgB2dmqpoU76999/UadOHZiamiIxMRGlS5cWO6QPUvX+zckODDfZAQAiQnBwML7//nsAQGBgIP744w9YWFi8/0VXrgDBwcD+/cK/TUyAYcOAGTOASpW0EDUTi1wux6BBg7BlyxZYWVnh2LFjaNKkicaud/o08PXXwKVLwr/d3YEffgA+/VS4XxkKIuD8eeFGuW0bkJiYf8zJCejbF+jfH2ja1LDqrRZZWcCRI0BCApCS8vFHRkbxr2lkhNe2LhiS/SvC0jsBACZX24NFzffCuLTdx5OoUqX0+hfp7e2N6Oho/PbbbxgxYoTY4XwQJzuFYMjJTp7169dj5MiRyM3NRYsWLbB7926UKVNGudC1a8CcOcDu3cK/jYyAzz4DZs0CqlTRdshMy4gIEyZMwIoVK2BiYoJ9+/ahY8eOGrlWbCwwdSqwfbvwbxsbYOZMYPx44EN5uCGQyYC//xYSn7Aw4OXL/GOVKgH9+gmJT716en2/FE9mJiCVqpYYJSe/++/sbMShArphL6JQH6bIxv8wCsOwXvUYjIze32qkSguTtbWov/wFCxZgxowZaNu2LSIiIkSLQxWc7BRCSUh2AOD48eP49NNPIZVK4eHhgYMHD6JatWrAjRtCkrNjh1BQIgEGDhSSnOrVRY2Zac/8+fMxc+ZMAMBff/2FAQMGqP0aqalASIjQRZWVJdwTPv9c6CZwclL75XRedjZw9KiQ+OzeDbx6lX+sRg0h6enfH6hZU7QQS5yzJ7PQs68Jnj4zRjmHHOyacRnNXWNVT55ycoofhLFx4bve3ixvaVmsZOn+/fuoWrUqjIyM8OTJEzg7OxevPhrEyU4hlJRkBxD6Yzt37oyHDx+isb099vn6otyxY0I7u0QitKcHBwMaHKPBdM/atWsxatQoAMDy5csxfvx4tZ5fJgPWrRNab54+FZ5r0wZYuhTw9lbrpfRWRgZw8KAwvmf/fqGBIk/dusL4nn79gMqVRQvR4G3cCIwcKSSh3t7A3r2F7LknEn6RRWlVynvk5ha/IqamqidGBT0sLNC4SRNcuHABK1aswNixY4sfk4ZwslMIJSnZAYDn587hQkAAOrx4AcW4yF69hCTHy0vM0JgIdu7ciT59+kAul2PGjBmYN2+eWs9/4oQwLufaNeHfHh7Ajz8CXbtyN837pKUBe/YIic/hw8r3vyZNhNaevn0BFxfxYjQkMpkw72LxYuHfPXoAf/4pDL3RKiJhYLaqiVFBD5ms+HGYmeG1mRkev3oFWalSqN28eeFamLTYF83JTiGUmGQnNhaYNw/YsEHxB7EbwBwA/RYswLRp01SfqcUMwokTJ9CxY0dkZ2dj5MiR+N///qe298Ddu8C33+YPAbO3Fyb3ffUVYGamlkuUCC9eADt3ConPiRPC/RAQEkV/fyHx6dULeHsIHlNNaqrQa583H2PmTGEGlpGRuHEVCZHQF1qcliV1pAQWFgUnQcOHA+3aFf/8b+BkpxAMPtl59AiYPx/444/8r4idO0M2ezambNuGpUuXAgBGjBiB1atXw9TUVMRgmbZcvXoVfn5+SEtLQ8+ePbFt2zaYmJgU+7wpKUJO/fPPwvAFY2Ng9GhhWFjZssU+fYmWkCAMrduyBTh7Nv95ExOgfXsh8eneXZh1zT7u/n2gWzdh2KKFhfARGRgodlQiksuVkqXxn32Gh9euYVTfvujcrNnHEyip9MPJ0q+/CoP01Ejl+7dGVvnRM4a4qCARCXvPfPWV8oZ77dsTnT2rVGzlypVkZGREAKhdu3aUkpIiUsBMW+7cuUOOjo4EgPz8/NSyy3FOjrB8ftmy+W+3jh2JbtxQQ8DsHXmrNterx6s2F8XJk0RlyuSvWXjhgtgR6Z7Vq1cTAGrQoIFqL5DJhEUdY2OFRR5PnBAWfVy3TlgEUt3bFxGvoFwoBpfsJCQQTZhAZG6e/wn4ySdEp0699yX79+8na2trAkCenp708OFD7cXLtCo+Pp7c3d0JANWrV08tyW14OFGdOvlvt1q1iA4eVEOwTCW8anPh/O9/+TvY+/oK3wvZu5KSksjY2JgA0O3bt8UOp0Cc7BSCwSQ7SUlEkycr7yLcooWQXavgypUr5OLiQgDI2dmZLl26pNl4mdYlJyeTt7c3AaCqVatSYjH3Nbt5U9j0Mu/tVqYM0cqVOrd/Y4khlwtfqKdOJapUSTnxcXAg+vxzYU8nHd5UXKNycoSdbvJ+Jv37c+vXx3Ts2JEA0HfffSd2KAXiZKcQ9D7Zef5c2DXY2jr/r7hJE6KIiEJvEf3o0SPy8vIiAGRlZUV79uzRUNBM29LT06lVq1aKZPbevXtFPtfz58JNw9g4f6fvr78W9nJkukEuJzpzRthKytlZOfFxchJ+f//8ozu7yGvay5dE7drl/wzmzSs5dS+O9evXEwCqWbMmyXXwB8bJTiHobbLz8iXRzJlCW3XeX7CvL9GhQ8X6K5ZKpdShQwcCQBKJhJYvX67GoJkYcnJyqHv37gSAbG1tKSoqqkjnyc4mWrZMeWPqbt2IdLSFm/2/3Fyi48eJRo4kKl1aOfGpVIloyhSiK1cM9+Z/6xZR9epCfa2siHbuFDsi/ZGSkkLm5uYEoMifG5rEyU4h6F2yk5JC9N13RHZ2+Z9Y9eoR7d2rtk+r7Oxs+uKLLwgAAaDx48dTbklt+9Zzcrmchg8fTgDI3NycTp48WYRzEO3bpzwmxMuL6OhRDQTMNCori+jAAaJBg5S/JwHC7zc4WOieNBSHD+d/VFasKHTzscLp2bMnAaBp06aJHco7ONkpBL1JdlJTiebPV/5a7eUlfE2RydR+OblcTosXL1YkPN26daNXr16p/TpMs6ZNm0YAyMjIiHbt2lXo10dHKzf/lysnDPDk3Ff/pacT7dhB1Lu3MIvrzcSnbl2ihQuFiTX6SC4nWr6cyMhIqE/z5kRPn4odlX7aunUrAaDKlSvrXFcWJzuFoPPJzqtXwhzTvHmSedNdtm7VSJLztm3btimaMX18fCg+Pl7j12TqsWTJEkWy+ttvvxXqtUlJRKNH598szMyE7g5emcAwpaYS/fknUZcu+TOV3hwCuGwZkb786WdlCV12efEPHUqUmSl2VPrr9evXitm6Z99aukRsnOwUgs4mO+npREuXEjk65v/VengQ/fWX1r9WnzlzhsqWLUsAqGLFihQdHa3V67PC27hxoyLRCQkJUfl1mZlEixcT2drmv+169yYqxnhmpmeePydau1ZYsUIiyX8fSCRErVsLLXvPn4sdZcGePSNq1So/3h9/NNyxSNo0YMAAAkATJkwQOxQlnOwUgs4lOxkZRD//LKx0lfcpU6UK0fr1wtxJkdy9e5dq1KihGOR65MgR0WJhH3bgwAEyMTEhAPT111+r1PQslws9olWq5L/tGjQgiozUQsBMZ8XHC91BTZsqt/aYmAjLDmzcSKQrH53R0USVKwvx2doKY5OYeuzdu5cAkIuLi06N3+RkpxB0JtnJyiJavZqoQgXlqRK//aYzC5e8ePFCMX3ZxMSk0F0jTPPOnDlDlpaWBIAGDRpEMhW6Oq9cIfLzy3/bubgIi55qoZeU6RFdXrV57978AddVq/LK3eqWmZlJ9vb2BIBOqLh2mzZwslMIoic72dlEv/4qTBXI+/SoUIFozRqdXPY0MzOTBg0apOgiCQoKUumGyjQvJiaGHBwcCAB16tSJsj+SJMfHEw0fnt9VYWEhrGaQlqalgJne0pVVm+VyYSB13nu4dWvd7WLTdyNGjCAA9MUXX4gdigInO4UgWrKTkyN8fXZ3V/5KvWKFzo+mk8vlNHv2bEXC069fP7Xsr8SK7sGDB1S+fHkCQE2aNPngzLn0dGFi35tTjwMDiXiXEFZYqqzafPSoZoYZZmQIU+jzrjd6tM40ghukiIgIAkClS5f+6BcpbeFkpxC0nuzk5hJt2iQMNs77K3V0FDZK07O1y9evX0+mpqYEgJo3b07Pnj0TO6QSKSkpiapXr04AqHbt2vTixYsCy8nlRKGhyjelxo2FlXYZKy5VV21WR0NwQoLw3gWElbx/+aX452QflpOTo9hA+KCObH7HyU4haC3ZkcmEO03NmvmfAGXLEv3wgzC9XE8dP36c7OzsCABVq1aN/vvvP7FDKlHS0tKoYcOGBIDc3NwoLi6uwHLnzxM1a6bcU/rXXzwuh2nGh1ZtrlixeKs2X76cP7TRwYEXt9SmsWPHEgAaPHiw2KEQkZ4kO5GRkRQQEKDYfPLtBc/kcjkFBweTi4sLWVhYkJ+fH8W8tUV8ZmYmjR07lsqUKUNWVlbUtWvX937Yv4/Gkx2ZTFi5y9NTuX13wQKDGRzx77//UuXKlRVNnKc+sMM6U5+srCxq164dAaAyZcrQzQKWvo2LU27qt7IimjuX6PVrEQJmJZI6V23eti1/r+MaNYj4u5V2nT59mgCQjY0NpetAT4ReJDsHDx6kGTNmUFhYWIHJzsKFC8nGxobCwsIoOjqa+vXrRy4uLpSamqooM3r0aCpfvjxFRETQlStXqHXr1lS3bt1CTY3TWLIjlxPt2aM8dcHOTrjTiD3zSwMSExOpUaNGBIDMzMxo8+bNYodk0GQyGfXr148AkLW1NZ0/f17p+KtXwk0k78YAEA0ZQvT4sSjhMkZEH1+1OSSk4FWbZTJhQHRe2Q4diJKTtRw8I5lMRm5ubgSAwsLCxA5HP5KdN72d7MjlcnJ2dqaFCxcqnsvMzCQ7Oztas2YNEQkblJmamlJoaKiizJMnT8jIyIjCw8NVvrbGkp3u3fP/Mm1siGbNMvhtoV+/fk2ffvqpYuDyvHnzdG55cUMgl8sVzcmmpqZ0+PBhxTGZTFj7pHz5/LdfixZEFy+KGDBjBZBKVVu1+fVroj598o99/bWoS46VeN988w0BoN69e4sdiv4nO/fu3SMAdOXKFaVy3bp1o88++4yIiI4dO0YA6OVbCYS3tzfNnj37vdfKzMwkqVSqeMTFxWkm2fnlFyJra6KgoBI1F1Imk9HkyZMVCc/w4cN1ZuS+oZg7dy7l7Ur/ZgvaP/8QNWyYf1OoXFlo9ud8k+m6D63anDfY2dSU6PffxY6UXb58mQCQhYWFUk+LGFRNdoygoxITEwEATk5OSs87OTkpjiUmJsLMzAwODg7vLVOQkJAQ2NnZKR5ubm5qjv7/jRgBxMYCCxYAZcpo5ho6yMjICD/++CNWrVoFIyMj/PHHH+jUqRNSUlLEDs0grFmzBrNnzwYALF++HIGBgXj4EOjfH2jeHLh4EShVCggJAW7eBPr0ASQSkYNm7CPKlAFGjgSOHQOePAGWLweaNhVSnsREoGxZ4PhxYPhwsSNl9evXh4eHBzIzM7F3716xw1GJziY7eSRvfUoT0TvPve1jZYKCgiCVShWPuLg4tcT6DnNzoFw5zZxbD3z55ZfYt28frK2tcezYMTRv3hwPHz4UOyy9tmPHDowZMwYAMGvWLAwdOg4zZgA1agBbtwpJzeefA3fuANOmARYWIgfMWBG4uADjxwNnzgjfF3/9Fbh6FWjRQuzIGCDcl/v37w8A2LJli8jRqEZnkx1nZ2cAeKeFJikpSdHa4+zsjOzsbCQnJ7+3TEHMzc1ha2ur9GCa0blzZ5w+fRqurq74999/0bhxY1y6dEnssPTS8ePHMXDgQBARRo4cjUqVvkP16kLDYVYW0Lo1cOWKcGP4/z8fxvRe5cpCAl+hgtiRsDflJTuHDx/Gy5cvRY7m43Q22XF3d4ezszMiIiIUz2VnZyMyMhLNmjUDAPj4+MDU1FSpTEJCAmJiYhRlmPjq1auH8+fPw9vbG0+fPkWrVq2wZ88escPSK5cvX0b37t2RnZ2NVq1m4+LFVfj8cwkSE4Fq1YDdu4Xm/3r1xI6UMVYS1K5dG97e3sjNzcXOnTvFDuejRE12Xr16haioKERFRQEAYmNjERUVhUePHkEikWDixIlYsGABdu3ahZiYGAwdOhRWVlYYMGAAAMDOzg4jRozA5MmTcezYMVy9ehWDBg2Cl5cX2rZtK2LN2NsqVKiA06dPo2PHjsjIyEDPnj2xfPlyscPSC3fu3EGnTp3w6pUjypb9G3///R2ioiSwswOWLAFu3AC6d+dxOYwx7dKrrixtjJZ+nxMnTihm7Lz5GDJkCBHlLyro7OxM5ubm1KpVK4qOjlY6R0ZGBo0dO5ZKly5NlpaWFBAQQI8ePSpUHKJvBFqC5OTk0OjRoxW/63HjxhVqTaSS5smTJ1SxohcBi0kiyVIsjT9mDFFSktjRMcZKsvv37ytmhcbHx4sSg6r3bwkRkViJlq5ITU2FnZ0dpFIpj9/RAiLCkiVL8O233wIAAgICsGXLFpQqVUrkyHTLs2fJqFdvBeLjRwNwBAC0bw8sXQrUqSNubIwxBgBNmjTB+fPn8fPPP2PcuHFav76q92+dHbPDDJdEIsE333yD7du3w8LCAvv374efnx/i4+PFDk1n7N+fhcqVXyI+fjYAR1Stmo0DB4DwcE50GGO6Q1+6sjjZYaLp3bs3Tpw4gXLlyuHKlSto0qQJoqOjxQ5LVLdvAwEBcnTtao709KqQSF5i6tQnuHnTDJ0787gcxphu6du3LyQSCc6ePYsHDx6IHc57cbLDRNWkSROcO3cONWrUQFxcHJo3b44jR46IHZbWvXwJTJwIeHoSDhwwApADY+OV2LfvNhYuLA9TU7EjZIyxd7m6usLPzw8AsG3bNpGjeT9OdpjoqlSpgjNnzsDPzw9paWno3Lkzfv31V7HD0oqcHGDFCmH6+PLlQG6uBMA+GBnVxc6dFdGlS1OxQ2SMsQ/Sh64sTnaYTihdujSOHDmCwYMHQyaT4YsvvkBQUBDkcrnYoWkEEXDgAODtLawUm5wMODs/A9AOQDf89tu36Natm9hhMsbYR/Xq1QsmJiaIiorCrVu3xA6nQJzsMJ1hZmaGDRs2YM6cOQCAhQsXIjAwEJmZmeIGpmY3bgAdOwIBAcCtW8KOIkOGnEVioguAo1i0aBGGDRsmdpiMMaaSsmXLol27dgCArVu3ihxNwTjZYTpFIpEgODgYGzduhKmpKbZt24Y2bdrg2bNnYodWbM+eAWPGCK05R44ApqbAt98CK1aEY9OmlgBkmDx5smJKPmOM6Yu8rqzQ0FDo4oo2nOwwnTR48GAcOXIE9vb2OHPmDJo2bYr//vtP7LCKJDtbWOnYwwNYvRqQy4FPPxV2JO/e/R8MG/YpZDIZPvvsMyxevPijG90yxpiu6dGjB8zNzXHr1i1cu3ZN7HDewckO01n+/v44e/Ys3N3dce/ePTRt2hSnTp0SOyyVEQl7VtWpA3zzDSCVAvXrAydPAmFhQEZGDAICApCRkYEuXbrgt99+g5ER/0kyxvSPra0tunTpAkBo3dE1/MnKdFrNmjVx7tw5NG7cGC9fvkTbtm2xefNmscP6qKgooE0boGdP4O5dYRfy338HLl4E/PyABw8eoEOHDkhJSUGzZs2wbds2mPL8csaYHtPlrixOdpjOc3R0xIkTJ9CrVy9kZ2dj4MCBmDdvns79MQFAYiIwciTQoAFw4gRgbg5Mnw789x8wfDhgbAwkJSWhffv2iI+PR506dbBv3z5YWVmJHTpjjBVLly5dUKpUKTx8+BDnzp0TOxwlnOwwvWBpaYlt27YpBu/OmjULw4cPR3Z2tsiRCTIzgZAQYVzOb78JXVj9+gkrIs+fD9jYCOXy1hG6c+cOKlasiMOHD6N06dLiBs8YY2pgZWWF7t27A9C9rixOdpjeMDIywuLFi7F69WoYGxtj/fr16NSpE1JSUkSLiQjYvh2oVUtowXn1CmjUCPjnHyA0FKhUKb9sVlYWevbsicuXL6Ns2bI4cuQIypcvL1rsjDGmbnldWdu2bYNMJhM5mnyc7DC9M3r0aOzbtw+lSpXC8ePH0axZM1H2ZLl0CWjVCujbF3jwAChfHvjzT+DsWaBZM+WyMpkMgwcPxrFjx1CqVCkcOnQINWrU0HrMjDGmSe3bt4eDgwMSExMRGRkpdjgKnOwwvdSpUyecPn0a5cuXx82bN9G4cWNcuHBBK9d+8gQYMgRo2BA4fRqwsgLmzBG6rAYNAt6eUEVEGD9+PLZv3w5TU1Ps2rULvr6+WomVMca0yczMDL169QKgW11ZnOwwvVW3bl2cP38e9erVQ1JSEvz9/bFr1y6NXS89HZg7F6heHdi4UXhu8GAhyQkOBqytC37d3LlzsWrVKkgkEmzatAlt27bVWIyMMSa2vK6ssLAwnRlXyckO02vly5fH33//jc6dOyMjIwO9evXCTz/9pNaZWnI58NdfQI0aQlKTni50U50/LyQ9FSq8/7WrVq1SbH+xcuVK9O3bV21xMcaYLvL394eTkxNevnyJiIgIscMBAJiIHYAhI+KHdh426Nt3LzIz/8Tx48cxaVIU9u/fhMDAATAyMi72+bdtExIbQBhwvHgx0KcP8LGFjrdt24axY8cCAIKDgzFmzBgNv+MYY0x8xsbG6Nu3L1asWIHQ0FDFYoNikpAuLlaiZampqbCzs4NUKoWtra3azjtqFLB2rdpOx0RUqpQw22riRMDS8uPljx49is6dOyMnJwdffvklfvnlF94GgjFWYpw5cwbNmzdHqVKlkJSUBEtVPjiLQNX7N7fs6DGJhB8FPZKSnuL69SjI5TLY2tqgYcOGsLS0KPL5ypcHJk0SVkFWxaVLl9CzZ0/k5OSgT58+WLFiBSc6jLESpUmTJqhYsSIePXqEAwcOoHfv3qLGwy070FzLTlqasNicJm7o7MPOnz+Pbt26ISkpCRUqVMCBAwfg7e2t8ev+999/aN68OZ4/f442bdrgwIEDMDc31/h1GWNM10ydOhWLFy9Gr169sGPHDo1cQ9X7Nyc70Fyyw8QVGxuLzp0749atW7CxscH27dvRoUMHjV3vyZMnaN68OR4+fAgfHx+cOHECNnlLJzPGWAlz9epVNGjQABYWFnj69KlG7q+q3r95NhYzWO7u7jhz5gxat26NtLQ0dOnSBWs1NIjq5cuX6NChAx4+fAgPDw8cPHiQEx3GWIlWr149VK9eHZmZmdizZ4+osXCywwyag4MDwsPD8dlnn0Emk2HUqFGYOnUq5HK52q6Rnp6Orl274saNG3BxccGRI0fg6OiotvMzxpg+kkgkCAwMBCD+AoOc7DCDZ2ZmhvXr1+O7774DACxevBj9+/dHRkZGsc+dk5ODvn374syZM7C3t8fhw4dRuXLlYp+XMcYMQb9+/QAAR44cwYsXL0SLg5MdViJIJBLMnj0bf/75J0xNTbF9+3a0adMGz549K/I55XI5Pv/8cxw4cAAWFhbYv38/vLy81Bg1Y4zpt1q1aqFu3brIzc1FWFiYaHFwssNKlEGDBiEiIgIODg44e/YsmjRpgtu3bxfpXFOnTsXGjRthbGyM7du3o3nz5mqOljHG9N/AgQPRpk0bVPjQcvMaxrOxwLOxSqLbt2+jc+fOuH//PhwcHLBr1y74+fmp/PoffvgBU6ZMAQCsX78eQ4YM0VSojDGm14hIY2uN8Wwsxj6gRo0aOHfuHJo0aYLk5GS0a9cOmzZtUum169atUyQ6P/zwAyc6jDH2AbqwqConO6zEKleuHI4fP47evXsjJycHgwcPxty5cz+4iei+ffswcuRIAMC3336Lb775RlvhMsYYKyJOdliJZmlpia1btypaaoKDgzFs2DBkZ2e/U/b06dPo27cvZDIZhg4dikWLFmk7XMYYY0XAyQ4r8YyMjLBo0SL873//g7GxMTZs2ICOHTsiOTlZUeb69esICAhAZmYmAgIC8Ouvv+pE0yxjjLGP42SHsf/3xRdfYP/+/bCxscGJEyfQrFkzxMbGIjY2Fh07doRUKkWLFi2wdetWmJjwHrqMMaYveDYWeDYWU3b9+nV06dIFjx8/hqOjI0qVKoX79+/Dy8sLkZGRcHBwEDtExhhj4NlYjBWZt7c3zp07h/r16yMpKQn3799H5cqVER4ezokOY4zpIU52GCtA+fLl8ffffyMwMBB169bF4cOH4erqKnZYjDHGisBgkp1Vq1bB3d0dFhYW8PHxwalTp8QOiem5UqVKYfPmzYiKikL16tXFDocxxlgRGUSys3XrVkycOBEzZszA1atX0bJlS3Tq1AmPHj0SOzTGGGOMicwgBig3btwYDRo0wOrVqxXP1apVCz169EBISMhHX88DlBljjDH9U2IGKGdnZ+Py5cto37690vPt27fHmTNnCnxNVlYWUlNTlR6MMcYYM0x6n+w8f/4cMpkMTk5OSs87OTkhMTGxwNeEhITAzs5O8XBzc9NGqIwxxhgTgd4nO3neXs32Q7usBgUFQSqVKh5xcXHaCJExxhhjItD7ZWDLli0LY2Pjd1pxkpKS3mntyWNubg5zc3NthMcYY4wxkel9y46ZmRl8fHwQERGh9HxERASaNWsmUlSMMcYY0xV637IDAJMmTcLgwYPh6+uLpk2bYu3atXj06BFGjx4tdmiMMcYYE5lBJDv9+vXDixcvMHfuXCQkJMDT0xMHDx5EpUqVxA6NMcYYYyIziHV2iovX2WGMMcb0T4lZZ4cxxhhj7EM42WGMMcaYQeNkhzHGGGMGjZMdxhhjjBk0g5iNVVx5Y7R5jyzGGGNMf+Tdtz8214qTHQBpaWkAwHtkMcYYY3ooLS0NdnZ27z3OU88ByOVyxMfHw8bG5r37aRVFamoq3NzcEBcXZ7BT2g29joZeP8Dw68j103+GXkeuX9EREdLS0uDq6gojo/ePzOGWHQBGRkaoUKGCxs5va2trkG/gNxl6HQ29foDh15Hrp/8MvY5cv6L5UItOHh6gzBhjjDGDxskOY4wxxgwaJzsaZG5ujuDgYJibm4sdisYYeh0NvX6A4deR66f/DL2OXD/N4wHKjDHGGDNo3LLDGGOMMYPGyQ5jjDHGDBonO4wxxhgzaJzsMMYYY8ygcbJTSCEhIWjYsCFsbGzg6OiIHj164Pbt20pliAhz5syBq6srLC0t4e/vjxs3biiVycrKwrhx41C2bFlYW1ujW7duePz4sTar8l6rV6+Gt7e3YgGopk2b4tChQ4rj+l6/t4WEhEAikWDixImK5/S5jnPmzIFEIlF6ODs7K47rc93e9OTJEwwaNAhlypSBlZUV6tWrh8uXLyuO63M9K1eu/M7vUCKR4KuvvgKg33UDgNzcXMycORPu7u6wtLRElSpVMHfuXMjlckUZfa8jIGxhMHHiRFSqVAmWlpZo1qwZLl68qDiuT3X8+++/0bVrV7i6ukIikWD37t1Kx9VVl+TkZAwePBh2dnaws7PD4MGDkZKSUvwKECuUDh060Lp16ygmJoaioqKoS5cuVLFiRXr16pWizMKFC8nGxobCwsIoOjqa+vXrRy4uLpSamqooM3r0aCpfvjxFRETQlStXqHXr1lS3bl3Kzc0Vo1pK9u7dSwcOHKDbt2/T7du3afr06WRqakoxMTFEpP/1e9OFCxeocuXK5O3tTRMmTFA8r891DA4Opjp16lBCQoLikZSUpDiuz3XL8/LlS6pUqRINHTqUzp8/T7GxsXT06FG6e/euoow+1zMpKUnp9xcREUEA6MSJE0Sk33UjIpo3bx6VKVOG9u/fT7GxsbR9+3YqVaoULVu2TFFG3+tIRNS3b1+qXbs2RUZG0p07dyg4OJhsbW3p8ePHRKRfdTx48CDNmDGDwsLCCADt2rVL6bi66tKxY0fy9PSkM2fO0JkzZ8jT05MCAgKKHT8nO8WUlJREACgyMpKIiORyOTk7O9PChQsVZTIzM8nOzo7WrFlDREQpKSlkampKoaGhijJPnjwhIyMjCg8P124FVOTg4EC//fabQdUvLS2NPDw8KCIigvz8/BTJjr7XMTg4mOrWrVvgMX2vW56pU6dSixYt3nvcUOqZZ8KECVS1alWSy+UGUbcuXbrQ8OHDlZ779NNPadCgQURkGL+/9PR0MjY2pv379ys9X7duXZoxY4Ze1/HtZEdddfn3338JAJ07d05R5uzZswSAbt26VayYuRurmKRSKQCgdOnSAIDY2FgkJiaiffv2ijLm5ubw8/PDmTNnAACXL19GTk6OUhlXV1d4enoqyugKmUyG0NBQvH79Gk2bNjWo+n311Vfo0qUL2rZtq/S8IdTxzp07cHV1hbu7O/r374/79+8DMIy6AcDevXvh6+uLPn36wNHREfXr18evv/6qOG4o9QSA7OxsbNq0CcOHD4dEIjGIurVo0QLHjh3Df//9BwC4du0aTp8+jc6dOwMwjN9fbm4uZDIZLCwslJ63tLTE6dOnDaKOedRVl7Nnz8LOzg6NGzdWlGnSpAns7OyKXV9OdoqBiDBp0iS0aNECnp6eAIDExEQAgJOTk1JZJycnxbHExESYmZnBwcHhvWXEFh0djVKlSsHc3ByjR4/Grl27ULt2bYOpX2hoKK5cuYKQkJB3jul7HRs3boyNGzfi8OHD+PXXX5GYmIhmzZrhxYsXel+3PPfv38fq1avh4eGBw4cPY/To0Rg/fjw2btwIQP9/h2/avXs3UlJSMHToUACGUbepU6ciMDAQNWvWhKmpKerXr4+JEyciMDAQgGHU0cbGBk2bNsX333+P+Ph4yGQybNq0CefPn0dCQoJB1DGPuuqSmJgIR0fHd87v6OhY7PryrufFMHbsWFy/fh2nT59+55hEIlH6NxG989zbVCmjLTVq1EBUVBRSUlIQFhaGIUOGIDIyUnFcn+sXFxeHCRMm4MiRI+9863qTvtaxU6dOiv/38vJC06ZNUbVqVWzYsAFNmjQBoL91yyOXy+Hr64sFCxYAAOrXr48bN25g9erV+OyzzxTl9L2eAPD777+jU6dOcHV1VXpen+u2detWbNq0CZs3b0adOnUQFRWFiRMnwtXVFUOGDFGU0+c6AsCff/6J4cOHo3z58jA2NkaDBg0wYMAAXLlyRVFG3+v4JnXUpaDy6qgvt+wU0bhx47B3716cOHECFSpUUDyfN+vl7Sw0KSlJkfU6OzsjOzsbycnJ7y0jNjMzM1SrVg2+vr4ICQlB3bp1sXz5coOo3+XLl5GUlAQfHx+YmJjAxMQEkZGR+Pnnn2FiYqKIUZ/r+CZra2t4eXnhzp07BvH7AwAXFxfUrl1b6blatWrh0aNHAAzn7/Dhw4c4evQoPv/8c8VzhlC3b7/9FtOmTUP//v3h5eWFwYMH4+uvv1a0tBpCHQGgatWqiIyMxKtXrxAXF4cLFy4gJycH7u7uBlNHQH2/L2dnZzx9+vSd8z979qzY9eVkp5CICGPHjsXOnTtx/PhxuLu7Kx3PexNHREQonsvOzkZkZCSaNWsGAPDx8YGpqalSmYSEBMTExCjK6BoiQlZWlkHUr02bNoiOjkZUVJTi4evri4EDByIqKgpVqlTR+zq+KSsrCzdv3oSLi4tB/P4AoHnz5u8s+fDff/+hUqVKAAzn73DdunVwdHREly5dFM8ZQt3S09NhZKR8+zE2NlZMPTeEOr7J2toaLi4uSE5OxuHDh9G9e3eDqqO66tK0aVNIpVJcuHBBUeb8+fOQSqXFr2+xhjeXQF9++SXZ2dnRyZMnlaaGpqenK8osXLiQ7OzsaOfOnRQdHU2BgYEFTsGrUKECHT16lK5cuUKffPKJzkyZDAoKor///ptiY2Pp+vXrNH36dDIyMqIjR44Qkf7XryBvzsYi0u86Tp48mU6ePEn379+nc+fOUUBAANnY2NCDBw+ISL/rlufChQtkYmJC8+fPpzt37tBff/1FVlZWtGnTJkUZfa+nTCajihUr0tSpU985pu91GzJkCJUvX14x9Xznzp1UtmxZmjJliqKMvteRiCg8PJwOHTpE9+/fpyNHjlDdunWpUaNGlJ2dTUT6Vce0tDS6evUqXb16lQDQ0qVL6erVq/Tw4UO11qVjx47k7e1NZ8+epbNnz5KXlxdPPRcDgAIf69atU5SRy+UUHBxMzs7OZG5uTq1ataLo6Gil82RkZNDYsWOpdOnSZGlpSQEBAfTo0SMt16Zgw4cPp0qVKpGZmRmVK1eO2rRpo0h0iPS/fgV5O9nR5zrmrW9hampKrq6u9Omnn9KNGzcUx/W5bm/at28feXp6krm5OdWsWZPWrl2rdFzf63n48GECQLdv337nmL7XLTU1lSZMmEAVK1YkCwsLqlKlCs2YMYOysrIUZfS9jkREW7dupSpVqpCZmRk5OzvTV199RSkpKYrj+lTHEydOFHjvGzJkiFrr8uLFCxo4cCDZ2NiQjY0NDRw4kJKTk4sdv4SIqHhtQ4wxxhhjuovH7DDGGGPMoHGywxhjjDGDxskOY4wxxgwaJzuMMcYYM2ic7DDGGGPMoHGywxhjjDGDxskOY4wxxgwaJzuMMcYYM2ic7DDGDJK/vz8kEgkkEgmioqIK9dq819nb22skNsaYdnGywxjTaXmJx/seQ4cOfe9rR44ciYSEBHh6egIAHjx48E7yk5aWBn9/f9SsWRNxcXEAhA0Kly1bpsFaMca0yUTsABhj7EMSEhIU/79161bMnj1bacdzS0vL977WysoKzs7O7z3+7NkzdOrUCQBw+vRplC1bFgDg7OwMOzu74obOGNMRnOwwxnTam8mKnZ0dJBLJBxMYVcXFxaFdu3ZwcXHB3r17YWNjU+xzMsZ0E3djMcZKnNu3b6N58+aoWbMmwsPDOdFhzMBxssMYK3E+++wzVK1aFWFhYTA3Nxc7HMaYhnGywxgrcbp3747Tp08jLCxM7FAYY1rAY3YYYyXO9OnT4e3tjYEDB4KI0K9fP7FDYoxpECc7jLESaebMmTAxMcHAgQMhl8sRGBgodkiMMQ3hZIcxVmJNmzYNxsbGGDx4MORyOQYOHCh2SIwxDeBkhzFWon377bcwNjbGkCFDIJfLMXjwYLFDYoypGQ9QZozpjaFDhyIlJaXIr69cuTKICPXq1VN6ftKkScjNzeVEhzEDJSEiEjsIxhhTN39/f5w5cwZmZmY4e/YsvLy8VH5tqVKlkJubCwsLi2IlV4wx3cDJDmPMID158gQZGRkAgIoVK8LMzEzl1969excAYGxsDHd3d43ExxjTHk52GGOMMWbQeMwOY4wxxgwaJzuMMcYYM2ic7DDGGGPMoHGywxhjjDGDxskOY4wxxgwaJzuMMcYYM2ic7DDGGGPMoHGywxhjjDGD9n8e3YdzgPrctQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(temps, c11s, color='black', label=\"C11\")\n", + "plt.plot(temps, c12s, color='red', label=\"C12\")\n", + "plt.plot(temps, c44s, color='blue', label=\"C44\")\n", + "\n", + "plt.ylabel('C [GPa]')\n", + "plt.xlabel('T [K]')\n", + "plt.legend()" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" ...,\n", + " [-7.89363857e+00, -2.39676629e+00, -2.64249204e+00],\n", + " [-1.05107549e+00, 4.31242632e-01, -6.24408176e-01],\n", + " [ 3.48748578e+00, 2.54798427e+00, 2.30150997e+00]]]),\n", + " 'volume': array([6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 6225.75740928, 6225.75740928,\n", + " 6225.75740928, 6225.75740928, 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"execute_result" + } + ], + "source": [ + "tensor_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "id": "9f93a3b6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['C11', 'relaxed_dict_C11', 'strained_dict_C11', 'C12', 'relaxed_dict_C12', 'strained_dict_C12', 'C44', 'relaxed_dict_C44', 'strained_dict_C44'])" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tensor_dict[200].keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "id": "74e82ded", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.061675995882257896" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "temp = 800\n", + "\n", + "plt.title(f'Relaxed stress - {temp}K')\n", + "plt.plot(np.array(tensor_dict[temp]['relaxed_dict_C11']['pressure'][:,0,0])/(10**4))\n", + "\n", + "mean_run = np.mean(np.array(tensor_dict[temp]['relaxed_dict_C11']['pressure'][20:,0,0])/(10**4), axis = 0)\n", + "plt.axhline(mean_run)\n", + "mean_run\n", + "# plt.ylim([-2500, 6000])" + ] + }, + { + "cell_type": "markdown", + "id": "5f8b8ae3", + "metadata": {}, + "source": [ + "##### Higher strain" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "id": "12d6c022", + "metadata": {}, + "outputs": [], + "source": [ + "elastic_constants_dict_s_0d005 = {}\n", + "tensor_dict_s_0d005 = {}" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "id": "90faefec", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "for temp, equilibriated_structure in equilibriated_cells_dict.items():\n", + " elastic_constants_dict_s_0d005[temp], tensor_dict_s_0d005[temp] = calculate_elastic_constants_at_finite_temperature(\n", + " structure=equilibriated_structure, \n", + " potential_name=potential_name_str,\n", + " temperature=temp,\n", + " strain=0.005,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=1234,\n", + " thermostat='langevin'\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "974b2f9c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{200.0: [168.9926287079262, 119.99007722401677, 73.03346302901497],\n", + " 400.0: [152.08601690123072, 119.45488862952583, 67.70264162059404],\n", + " 600.0: [152.68088931538543, 114.30672013240022, 67.42520820365037],\n", + " 800.0: [136.1479760844398, 106.05409171514857, 60.65225563947186],\n", + " 1000.0: [114.1727240933378, 98.99641113679169, 58.18458784267912]}" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_dict_s_0d005" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "id": "b33bb357", + "metadata": {}, + "outputs": [], + "source": [ + "c11s_s_0d005 = np.array([constants[0] for _, constants in elastic_constants_dict_s_0d005.items()])\n", + "c12s_s_0d005 = np.array([constants[1] for _, constants in elastic_constants_dict_s_0d005.items()])\n", + "c44s_s_0d005 = np.array([constants[2] for _, constants in elastic_constants_dict_s_0d005.items()])" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "id": "0fdbe2f5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(temps, c11s_s_0d005, color='black', label=\"C11\")\n", + "plt.plot(temps, c12s_s_0d005, color='red', label=\"C12\")\n", + "plt.plot(temps, c44s_s_0d005, color='blue', label=\"C44\")\n", + "\n", + "plt.scatter(0, elastic_constants_list_0[0], marker='*', color='black')\n", + "plt.scatter(0, elastic_constants_list_0[1], marker='*', color='red')\n", + "plt.scatter(0, elastic_constants_list_0[2], marker='*', color='blue')\n", + "\n", + "plt.xlim([0, 1000])\n", + "plt.ylim([40, 180])\n", + "plt.ylabel('C [GPa]')\n", + "plt.xlabel('T [K]')\n", + "\n", + "plt.grid()\n", + "plt.legend()" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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5iKZp5OTkYDab8fDwuGhhz/z8fEwmk30TxSu509dxkeDiRLYVcO+55x7atGnj1CEPnU5HtWrV8PPzQ9M0vL29i20p4O3tbV8P5lbTNI3U1FTi4uKoWLEie/fuZerUqfzzzz/4+/ujaRqnTp1yfNk1adCgAYMGDeL06dP4+fkxePBg7rnnnlL1E9q/TYKLc0lwuborBZfRo0fz+eef23vobOtBXepN+GbRNI2AgACWLVt2TRMTDh06RPv27fH19WX9+vVUqlTJ8ZRikpKSePPNN9m+fTs5OTmMHz+eoUOH2o9/+eWX/Pzzz8TFxfHwww8zfvz4Yq93JMFFgovT3OxNFt3c3OxjpT4+PpQvXx4Ao9FIjRo18PLywmq12lfV5fxKuLVq1cLd3R1N0wgMDCQwMBBN03B1dbV/w73UP/wbkZ6ezqlTp/Dz8yMzM5Px48ezY8cOXFxc8PLyIiYm5oYWrouIiODll1/mzJkzGAwG7rvvPpo0aeL0P0dZIsHFuSS4XN2Vgssbb7zBokWL7D9wWa1WNE27pf0gmqbh6+vL7NmzqVmzpuPhyzpw4ADt2rWjUqVKrF+//qrD5XFxcUyaNAmz2czChQt5/fXXGTNmjP34e++9x6FDh9i2bRsdO3ZkxowZxV7vSIKLBBensVVcypUrR7169Zw2BU7TNKKjo0lPT0en05GdnU1CQoL9+rm5uRQUFDi+zM7d3d3+DzswMNBeBQkMDKRy5cqUK1eOatWq4enpSa1atXB1dSU8PBw3Nze8vb1xdXWFGww3aWlpnDlzBhcXFwoKCnj11VdZv349hYWFhISEkJCQQGFhoePLrsjFxcX+mkqVKjFp0iQMBgPZ2dm0aNGCxo0b39Jvgrc7CS7OJcHl6q4UXPLy8igoKLB/X/k3lvzXNA3d+RXLr+V7xfHjx+nQoQNWq5WoqCjq16/veEqxCpItlJ04cYK2bdsyYcIEe3DRNI3CwkJcXFwYOnQoAQEBfPrppw5XK06CiwQXp7lZPS6appGXl2cfesrNzSUpKcl+PC4ujqSkJPR6PVlZWRw+fNh+7okTJ0hJSUGv15OTk8OZM2fQNA2LxUJmZmaxqodOp8PV1RWj0UhoaChubm5UrlwZf39/wsLCiIiIoEKFCoSFheHt7U2FChUwGo34+fmhO9+Edqn/QJeSkZHBgQMHSE9Pp1q1arzzzjssXryY7OxsfHx87GPB18LV1RWz2YzVaiUkJIRXX32VBg0aEB0dTfPmzalTp841fXMqayS4OJcEl6u7UnBx9G8El+uVn5/PkCFDWLx4Ma+88gqvvvpqsWUjsrKyWLp0KXXq1KFp06b2548dO3ZRcLHRNE2CSwlJcHGimxVcrpemaeTn59tDjMlkIjk52f58dHQ0+fn5HDlyhPT0dI4ePUp2djZnz54lLS2NvLw8cnJyil3Ttkqvt7c3wcHBeHh4UL16ddzc3KhTpw7+/v7UrFkTX19fwsPD8fDwwM/PD6PReMVgk5OTw759+4iNjaVatWp8//33zJo1C5PJZK/4XKmqdCm+vr5omkZ2djYVKlTglVdeoUePHsTGxlKuXDlq1qx5RwUZCS7OJcHl6spqcAFYuXIlDz/8MCaTicGDB9OlSxfc3NzYv38/69at4/jx4/z222/cfffd9tdIcHEOCS5OdLsFl2thCzNWq5XU1FRycnJISUkhPj6ezMxMjh49islk4vDhw2RnZ3P69Gny8/PJyMi4aIjHaDTi4uJC+fLl8fT0pHr16vj4+FC3bl18fX2pXbs2Pj4+RERE4O7ujr+/PwaDoViwycvLIyoqim3bttG4cWN27NjBJ598QnZ2tv2cotWikvD29iYgIIDk5GQCAwMZOXIko0aNwmw2YzAYCAwM/NcanG8FCS7OJcHl6spycLFarSxevJj333+fffv2UVBQgF6vx8XFhbCwMHr16sXEiRMJDAy0v0aCi3NIcHGi0hxcSsIWbgoLC0lKSqKwsJCYmBhycnI4deoUZ8+etf+amJhIWloaubm5ZGVlFbuOwWDA1dWV8uXL4+XlRbVq1fD19aVOnTq4u7tTu3Zt/Pz88Pf358SJE3Tq1AkPDw/+/PNPNm3aRPny5Tl37hzTp08nLS0Nzg9zXU+QqVmzJpmZmbi6ujJs2DBGjx5Nbm4uRqMRf3//MjVrSYKLc0lwubqyHFxs0tLSOHr0KHFxcXB+4kClSpUIDg6+qKIrwcU5JLg4UVkPLiVRWFiIxWIhLS3NPjSVmJhIfHw8Z86csf967tw5kpKSyMrKIjs7u9g19Ho9RqORwMBA3N3dqVu3LnXr1qVGjRrUrFmTypUr4+vry7Zt2/j777/x9vbGbDbz4YcfkpqaWuxa18LDw4MWLVqQlJSEq6srgwYN4sknn7QPOdmqQqWVBBfnkuBydXdCcCkJs9nMjz/+yN9//82XX35J27Zt6dixI0OHDiU8PJzffvuNXbt2sWjRIjw8POjZsyetW7ema9eujpcCCS4SXJxJgsvVmc1mLBYLWVlZZGVlcfbsWZKTky+q2CQkJJCcnGzvtbGxDemEhIRQrVo16tSpQ9WqValUqRKHDh0iKioKo9FItWrV+Pnnn0lISCj2+a+F0Wikb9++6PV68vLy6NatGw899BB+fn5YLJZSF2QkuDiXBJerk+CiFBYW8uqrr7J9+3ZcXV2xWCy4u7szbdo06tatywcffMCyZcuK9fM9+OCDjBw50vFSIMFFgoszSXC5cbZZQZmZmcTFxbFhwwb8/PzsGzaePn2aU6dOkZycXGyreIPBQLly5QgKCiI8PJyGDRuyb98+/vzzT0JCQqhevTp79+7l7NmzxT7ftTAYDAwePJiIiAhOnTpF165d6dOnD+XKlXM89bYkwcW5JLhcnQQXxTaT03GJDKPRiF6vt3/fK8o2EeJSJLhIcHEaCS7OlZqayu7du2nevDk+Pj5YLBZMJhNpaWnExsbaw8zRo0c5deqUfQlxk8mEdn59Bp1Oh5+fHxUqVCAxMdE+lGQ0GjEYDOTn5zt+2hLT6/UMGDCAvn37cvjwYRo2bEjHjh0JCgpyPPW2IMHFuSS4XJ0El5vjTg8uZafzUJRJRX8KsU3DjoiIoHXr1jzwwAO88sorfP311yxfvpw//viD1atX89133zFlyhSGDBlC69at8fX15eTJk6Snpxe77rWuE+PIarWyaNEiRowYwdSpUxkyZAhPPfWUvWFYCCGE80lwEaWaTqe7KNA8+OCDTJw4kfnz57N8+XI2bdrEmjVr+Oabb5gyZQoPPfQQrVu3pkKFCnh4eNzQzCGLxWJfX8ZisbB48WJ+//13x9OEEEI4yfV/xxbiNqbT6dDr9cUCzZAhQ+yBZtmyZaxbt47ly5cze/ZsXnrpJQYMGEDTpk0pV67cRTu3lpTZbGbHjh2OTwshhHASCS7ijmILND4+PtSoUYMOHTrw+OOP88Ybb/DDDz+wZs0a1q5dy5IlS5g+fTqjR4+mT58+1K1bF39//2LLel9Oamoq+/fv5/Tp0+Tk5Dh1l3AhhLjTSXOuE0lzrnOlpqayc+fOf7WZVNM0zGYzqampnDlzhtOnT3PixAkOHz5MTEwMBw8evGjKtW3oKjAwkIoVK1KzZk2qVatGjRo1qF69Ov7+/vZVhW/lSr3SnOtc0px7ddKce3Pc6c25ElycSIKLc90OweVSbDOWTCYT0dHR/Pzzz8TExODj40Nubi6nT5/mzJkzJCQkkJuba6+46HQ6vLy88PX1pWLFitSoUYOqVatSo0YNKlasSHh4OKGhoXh5ednXc3AmCS7OJcHl6iS43BwSXEppcNE0jZycHM6ePcuJEyeIjY2lQ4cOVK9e3fFUOP8Xffz4cf766y/73jpVqlShVatWeHp62s8rKChg9+7dHDx4EIvFQlhYGK1atSIgIKDI1S5Ngotz3a7B5Wpyc3PJzMwkPj6ekydPkpiYaK/QxMTE2ANN0YX13Nzc8PX1JSwsjCpVqlC1alXq1KlDtWrVqFq1KiEhIXh5eV3yG1RJSXBxLgkuVyfB5eaQ4FJKg8vmzZt58cUXOXnyJKmpqRQUFDB//nyGDRvmeComk4kZM2Ywa9YsTp06hZeXl/0/yKpVq+y7dxYWFjJjxgzeeOMNTCYTRqORgoIC+vbty8cff0xoaKjjpYuR4OJcpTW4XE5+fj5ZWVkkJiaSnJxMdHQ0R44cISYmhujoaOLj48nKyrKvQ8P5QBMcHEyVKlVo2rQpjRo1ok6dOlSuXJmgoKBr+oYkwcW5JLhc3Z0SXFJTU9m4cSNbt27l3Llz6HQ6/P396dKlC+3bt3f6/7c7PbiU2ubcM2fOcPbsWZo0aUKLFi0cDxezaNEiJk2ahJubGx988AGrVq1i0aJFPPPMM3h5ednP27hxI5MnT6Z8+fJ8++23rFq1ir59+/Lzzz/zv//976KVDYW4FrYQ0qBBAyIjI3nsscd49913+e6771i7di0bNmwgKiqKefPm8dprr/Hwww9Tt25dcnJy2Lp1KzNmzODxxx+nW7duREZG0rdvX1599VV++OEHdu3aZd/4Ughxa2iaxu7duxk6dCgPPPAAs2bNYufOnfz999/Mnj2bAQMGMHr06Is2mhU3ptRWXGw7D4eGhvLFF18watSoS1Zc0tLS6Nu3L/v27ePXX3+lQ4cO9mO2IKLX67FYLDzzzDPMmTOHOXPm8MQTTwBw8uRJunbtisViYd26dVStWtX+ekdScXGuslZxuVYWi4X09HTOnDnD0aNHOXDgAAcOHGDv3r0kJCTYN6e0zZKqWLEidevW5e6776Z+/fpUr16dsLAwfH190ev1pKamsmvXLlq0aHFH3k9nk4rL1ZX1iss///zDgw8+yIkTJ3jggQcYOXIkDRo0wGKxsHPnTj7++GP0ej0LFy687iUWLkUqLqVUQEAAFStWvOxeDjZ79uzhr7/+onXr1tSoUYO///6bLVu22Lcgty0+lpmZydatW6lQoQKRkZH210dERNC0aVPOnDlDdHS0/XkhbjaDwUBQUBCNGjVi0KBBTJ48mQULFrB+/XrWrFnDV199xdixY+natSu+vr6cOHGChQsX8vLLLzNgwAA6duxIly5dGDlyJJ988gkbN24kPj7evseTbThKCHHtsrOzefvttzl69CgjR45k9uzZtGvXjoCAAIKDg+nevTvz5s1j6tSpN6XZ/k5WaisuRc2dO/eyFZd58+YxYsQIOnfuTFZWFgcOHMBqtRIeHs6oUaN4+umncXNz4+TJk3To0IGwsDDWrFlT7CfSyZMnM2XKFD799FOeeuqpYtfPzMwkNzfX/hPtgAEDGDduHMOHD5ey/Q3Q6XSkp6ezZ88e7r77bry9veWN9vx90Z1fi0an02G1WsnNzSUhIYGTJ09y+PBh9u/fz549e4iOjiYrK8teWXR1dcXX15datWpRv359GjRoQL169ahWrRrlypXD1dUVvV6Ppmn2BxJwLsn2/33v3r3cc889eHl5yX1yoNPpKCwsJDY2luDgYIKDg694j/Lz8yksLLzhJvRbQa/X8/333zN8+HDq16/PkiVLqFy58kXtBLY/x5X+3NfDVnExGo2EhIQ4HsbFxYV33nmHNWvWlMmKS5kPLlOnTmXSpEno9Xrq1q3LiBEjyMvL48svvyQ+Pp6ZM2fy6KOPsn37diIjI2nUqBFr1qwp1vsyZcoUJk+ezNSpU5k4cWKx60+ZMoXvvvsOo9GIxWLh1KlT9p+Cb3QvnDudxWIhLy/vhpflL+uKhhnO37fMzEwSEhJITEzk9OnT9inaiYmJxcbbXV1dCQkJoUqVKkRERFCpUiUqVqxIuXLl8PX1xc3NDYPBgKZpWK3WYoHmTif/Pq9Or9fj7u5OaGgoQUFBxf/tGAxQ5L5p5/996fV6uJXBRdPAYlG/loBOp8NsNvPEE0/w66+/MmXKFF544YWrfr93/IGjaMjR6/XF/g1ZLJYr/j/TNI3Y2FgyMjIuuVGswWBgwYIFHD16VILL7aokwaV8+fL8+uuvtGrVCoAlS5YwePBgWrduzfLlyzlw4ACRkZHcddddlw0ub7zxBi+//HKRq8OuXbs4fvw4er2e7OxsJk+ezNixY3nggQeu+g9ZXFl2djbR0dHUqlULDw8Px8PiKmzfJDn/jfDcuXP89ddfeHp6cuLECfbv38+xY8eIjY0ttgGli4sLAQEBhIWFUbt2berXr2+fyRQcHIynpyc6na5YmLkTZWVlceLECWrXrl3m3hicxWKxkJaWRrly5S6uuKxcCbt328OL9XwoNtzqEOjuDkOGQEhIicKLXq/nzJkzdOvWjbNnz7JixQpatGhxxRWyNU0jNTWV2NhYUlJSqFWrFpUqVbL/H4qLi+PYsWNYLBa8vb256667rlhltlqtnD59GqvViq+vr+NhjEYj06dP588//5Tgcru6UnD5/PPPGTlyJN27d2fx4sX2BqmkpCQ6derEuXPn2LRpEz4+PrRt25agoCCioqLw8/OzX+PVV1/lzTff5IcffmDw4MFFrl6cNOc6153enOtstubcli1b4u3tTWFhIenp6fZvmvv377eHmbi4ONLT09HOL7bn6elJhQoVqFOnDk2bNqV+/frUrFmT8PBwAgICioWkO4U0515dQUEBMTExBAYGXtycO3IkfP558ef+Df7+sH49NGrkeOSyDhw4QLt27ahQoQLr16+nfPnyjqcUk5iYyNChQ9m/fz/p6em8//77jB49GoBjx47x4IMPkpGRQUBAAKdPn6Zbt2589NFHBAUFOV4KpDm37AeXtWvXcu+999K5c+diwSUjI4POnTtz6tQpNm3aROXKlenatSuHDh1izZo19rVd8vPzGTRoEGvXrmXNmjW0bt262PWLkuDiXBJcnOtq67ho57c3sIWZPXv22MNMdHQ0CQkJ5OTkwPmyt6+vL+Hh4dSsWZMmTZrQrFkz6tWrR0hICK6urpf8ZlqWSHC5uivOKlqyBLZvVxWX88MvFovlwr+dy1QbnM7dHf7zH7jKOl1F2YJLREQEGzZsuOoCpampqSxatIjCwkJeeuklXnvtNcaMGQNAXFwcK1asoF27dgQFBfH999/zyiuv8M0333Dfffc5XgokuIDVatVK+2P27NkaoM2fP/+iY4mJiVrjxo21cuXKaX/99Zf9+eXLl2uenp5au3bttIyMDM1qtWovvfSSBmj//e9/tfz8fM1qtWp//fWXFhQUpN1zzz1aSkrKRdcv+khKStIaNmyozZs376Jj8rj2R3JysrZq1Sr73488buyRlJR0zffTYrFoJpNJO3PmjLZ582btyy+/1MaOHat1795dq169uubp6akBGqC5uLhoVapU0Xr37q29/vrr2vLly7WYmBjNZDJpFovlomuX9oftfmZmZl50TB7qkZeXpx06dEg7d+7cRcccH7kmk5aelVUq/q3ExsZqNWvW1Pz9/bXNmzdfdNxqtWr5+fmayWQq9tyRI0e0cuXKae+///5F59se//zzjxYSEqL9+OOPFx2zPcxmsxYdHa2dPn36svfr7bff1tq3b6/l5uZedKy0P27xYKLzJCYm8sYbb/Dqq6+yZMkSAH7++WdeeeUV3nrrLZKTkwEoX748gwYNIiUlhVGjRjFz5kw++OADnn/+ecxmMw8//LD9p88+ffoQGhrKRx99xIQJE5gzZw7PP/88aWlpDBgw4KqpWoiyRqfT4ebmZt/64tFHH+Xdd99l8eLFbNy4kVWrVvHRRx/x0EMPUbNmTc6dO8fvv//OpEmTuP/++4mMjGTQoEG88cYbrFq1itOnT5Ofn3/ZsXtxB9M0dKVkkc+wsDDuvfde0tPTmT59ur3fxGq1kpeXx7Zt23juuefYunWr40uvyGQy8eWXX2IwGK64ZtidrtQOFR05coQHH3yQtLQ09Ho9BoMBi8WCxWKhfPny/PTTT/a/+MzMTKZPn87cuXNJSkrCaDQSHh7O008/zeOPP25v/LRarSxbtow333yTffv2YbVaCQ4OZvjw4UyYMOGSTVBFyVCRc8lQkXNdbajoemmahsViITU1lWPHjtlXDt2zZw8xMTH2dWNcXFwIDw+nfv36NG/enGbNmlG3bt1SO7QkQ0VXd8WhIgelbQG6Y8eO8eijj7J161aqV69OZGQk7u7u7N+/n71792IwGIiKiuKuu+4q9pq2bdsyYcIE+1CRjdVqZfbs2bz66qtMnjyZZ5555rL34U4fKiq1waWwsJCUlJRiU8psbAt3GY1G+3Nms5mYmBhOnz6Nm5sb1apVo3z58hctYKdpGsnJyRw5coTCwkIqVapE5cqVi13rciS4OJcEF+e6WcHFUdEgc/ToUXbu3Mm2bdsuG2QaNGhAs2bNSl2QkeBydWU5uHB+ZfV58+axbNkyUlJSAPDy8qJx48b06tWLvn37FgsNlwsuVquVr7/+mkmTJjFmzBhGjx59xfccCS6lNLjcjiS4OJcEF+e6VcHFkS3IpKSk2CsyJQkyDRs2pGbNmlSoUAEfH58rfiP/N0hwubqyHlw4/+87IyPDvtu7i4sL/v7+xWba2RrfDx06RJcuXRgzZgxjxoyx/5ueN28er7zyCk899RTPPfccBoMBo9F42RV3JbhIcHEaCS7OJcHFuf6t4OLItnZFcnLyFYOMXq8nMDCQSpUqUadOHerVq2efhh0WFoa3t/e/GmYkuFzdnRBcSqKwsJAXX3yRdevWcejQISpWrEiNGjWYPn06RqORjh07kpKSwl133YWLiwuFhYU8/PDDPPPMM46XAgkuElycSYKLc0lwca7bJbhcisVisQeZHTt28M8//3D48GFOnTpFamqqffsMg8FAQEAAlStXti+OV79+fWrUqHHLw4wEl6uT4KJYLBaWLFlCTEwMLi4uWK1WjEYjAwcOxGAwsHDhQvLz8+2tD1arlWbNmtGuXTvHS4EEFwkuziTBxbkkuDjX7RxcHFmtVrKyskhMTCQ6OpqDBw+yf//+EocZW3UmNDQUT0/Pm7IkvwSXq5PgcnPc6cHF+f+bhRDiBun1evz8/KhduzY9e/Zk3LhxfPnll6xatYr169fz66+/8u677zJ8+HCaNm2KwWBg7969LFiwgIkTJzJo0CAiIyO59957eeqpp5gxYwZRUVFER0djMpkcP50QohSR4CKEKBVsYaZOnTrFwszq1atZv349ixYtYtq0aTz88MM0adIEs9nMtm3b+Oyzz3juuefo06cPkZGR9OvXj3feeYe1a9cSFxdnr9wIIUoHCS5CiFKraJjp1asX48eP56uvvmL16tVs2LDBHmaGDx9O3bp1ycrKYvXq1bz88sv06dOHjh078uCDDzJt2jTWrVsnQUaIUkCCixCiTLlUmPniiy9Ys2YNa9asYdasWYwYMYI6depw7tw5fv31V1566SV69+5Nx44dGTJkiAQZIW5jElyEEGWebVHKZs2a8eSTTzJ37txLBpmzZ8+yaNEie5Dp1KkTQ4YM4d13371kkLlUU6QQ4uaS4CKEuONcKci89957DBw4kEqVKhEbG8uiRYv473//a6/IPProo8yZM4ft27eTkZFxydW7hRA3jwQXIcQdzxZkmjdvztixY/nuu+9Yt24dy5YtY9q0aQwYMMAeZL7//nuefvppBg4cyIQJE3jmmWeYPXs227ZtIyUlBYvFIptICnETSXARQggHLi4uhIWF0bFjR8aPH8+CBQtYt24dy5cvZ9q0afTv358KFSoQGxvLt99+y9NPP02XLl3o0qULTzzxBHPmzJEgc4exWq2kpqYSFxdHXFwc6enpUo27SWQBOieSBeicSxagc67StADd7c5sNnP06FGWLVtGXl4ee/fuZe/evZw+fZr8/HwAfHx8qFatGk2aNKF58+Y0bdqU6tWr4+/vf9HmrmXVnbAAnaZp7N69m2+//ZZ169aRlpYGQPny5WnTpg3Dhg2jSZMmTv07lwXohBBCXBOj0UhISAhNmzblhRdeYMGCBaxfv57ly5fzzjvvMGDAAEJDQzl8+DBff/01Tz/9NF27drVXZByHlkTppGkaCxcupH///nz66ae4urrSu3dvunXrRkFBAdOnT2f8+PHk5OQ4vlTcAAkuQghxnWxDAZcaWlq/fj3Lli3jnXfeoX///pcMMl27dr3k0JIoHZYuXcozzzxDfn4+c+bMYc2aNcyYMYM5c+awdu1apk2bRsOGDfH09HR8qbgBElyEEMKJdDqdPch06tSJ8ePH8/3339u3Kpg4cSLdunXDz8+P/fv38/XXX/PUU0/Zg8zIkSP57LPPOHDgANnZ2dIfc5uKiYlh0qRJpKWlMXXqVB599FH8/PzQ6/Xo9XqCg4N5/vnnefPNN2/Zxp93CgkuQghxExUNMj169GDKlCn8+uuvrF+/nl9++eWiIPPVV1/x5JNP0rFjR+677z4mTZrE0qVLiY2NlcXwbiM//vgje/bsoWfPngwZMsTxMJyvxEk/mfNJcBFCiFtIp9Ph4eFB9erVue+++y4ZZLp27YpOp2PTpk288cYb9O/fn86dOzN06FB7f0xqamqprsYUFIDJdHs8rnXyT25uLlFRUQAMGjQILy8vx1PETSSzipxIZhU5l8wqci6ZVeRctvvZqlUrvL29HQ9fN03TyMvLIzo6ml27drF+/Xr++ecfoqOjyc7OhvMzlmrVqkWbNm1o3rw5d999N5UrV8bNze2SM0z+LVeaVfTee7BkCdhGUaxWK5pmPT/75tb8GTQNfH3hww+hRg3Ho5cXHR1Nhw4dsFgsrF+/njp16jiecllr165l2bJl9O/fn7Zt2xY7lpCQwOzZsylXrhwjR47E1dW12HGbO31WkQQXJ5Lg4lwSXJxLgotz3azgUpSmaWiaRlpaGgcPHmTLli1s376dHTt2EB8fj9lsRqfTUaFCBRo2bEhkZCTNmzendu3ahISEOHUK7vW4UnAZORI+/7zYU/8Kf39Yvx4aNXI8cnkHDhygXbt2VKpUifXr1xMQEOB4yiWdPXuWAQMGsGXLFj7++GNGjx5tP2axWHjllVeYNm0a7dq1Y8WKFZdt6pXgIsHFaSS4OJcEF+eS4OJctyK4XEphYSGxsbHs27ePdevWsXPnTo4cOUJKSgoA7u7uVK5cmVatWtG2bVtatGhBpUqV/pX1Ua4UXNatg337QH++YcFsLsRiseDm5nbLKi4Abm7Qvz9cZZmZYg4ePEj79u0pX74869evJyQkxPGUi1itViZPnswPP/xAfHw8b731Fs8++6z9+IoVK3juuecwmUxUqVKFVatWSXC5DAkuTiTBxbkkuDiXBBfn+reCS1GappGdnU10dDR//fUXmzZtYseOHZw5c4a8vDx0Oh1BQUHUqlWL9u3b06pVK+rXr094ePhlhyGc6UrBxVFBQR5mcwEeHj6XfCO+naSmptKtWzcOHDjATz/9RJ8+fYod1zSN06dP4+bmRmhoKABRUVE888wzjBw5knfffZeXXnqJ5557Ds4PEQ0ePJg2bdoQHR1NfHw8a9askeByGdKcK4QQpZROp8PHx4fGjRszatQo5s2bx/r16/n999955ZVX6Nq1K25ubvz111/2hfE6duzIQw89xHvvvcfGjRtJSUm5LZamt1rBYrn4Dfh2FBAQQJ8+fcjPz+fVV19l2bJlJCcnk5aWxt69e5k2bRr3338/+/btg/NDRG+99Rb9+vWjR48exe63xWLho48+wmAw8MILL2A0Gkt10/WtIMFFCCHKCNtP4J06dbLPVlq3bh3z5s3jySefpF69eqSnp7No0SImTJhA79696dKlC8888wwLFixg//795ObmOl5WONDpdIwZM4Znn32Ww4cPM2jQINq1a0f79u3p0KEDr7zyCnq9ntq1awMwa9YsTpw4QZs2bThy5Ahms5nY2Fji4+PZsmUL33zzDT169CA+Pp6UlBRycnLYv3+/ffsIUZwMFTmRDBU5lwwVOZcMFTnX7TBUdC0sFgvp6elER0fzxx9/sHXrVvbu3cupU6coLCxEr9cTGBhIkyZNaNGihX1/pfLly1/3AmrXMlRUGvcqys7OZsOGDfz1118kJiai0+lwdXWlRYsWtG/fnkqVKmGxWBgyZAgbNmzAz8+PgoICEhIS8Pb2ZtSoUTRs2JBnn30WX19fdDod586do7CwkEaNGvHTTz9RpUoVx097xw8VSXBxIgkuziXBxbkkuDhXaQsujgoLCzl79iy7du1i+/bt/PXXX+zZs4eUlBQ0TcPV1ZXKlStz11130aZNG9q0aUO1atUICAhAb+uovYqyHlxKQtM0YmJiyMzMRK/Xc+LECUaMGMETTzzB888/j5ubG2fOnLEPD02YMIHExES+/PJL6tevf75Zubg7PbiU7F+fEEKIMsXFxYXw8HDuu+8+pk6dyuLFi1m3bh3ffPMNTzzxBHXq1OHMmTMsXLiQsWPH2jeJfPbZZ+3DSllZWdKPcRU6nY6qVavSqFEjGjZsSP369QkJCaF69epUqFCBwMBA7rrrLho1asRdd91FREQEYWFh1K1b95KhRUhwEUIIAXh5edGgQQMeeughZs6cSVRUFL///jvvvPMO999/P76+vuzfv5+ZM2cyfPhwOnXqRM+ePe27Yx84cIC0tLTzC8lJmLmciIgIlixZwsCBAx0PATBp0iRmzpwpoeUKJLgIIYQoxmAwEBwcTMeOHXnxxRftm0QuXLiQ8ePH07JlSwC2bNnC9OnTGT58OB07dqRLly488cQTzJ07l82bN5OQkHBbzFi6nbi5uVGrVi0CAwMdD6HT6QgPD6dKlSolHo67E8mdEUIIcUVubm72vZXefvttVqxYwbp165g/fz7jxo2jS5cuuLm5sXfvXr766iuefvppunbtysCBA9m1axfnzp0jKyuL/Px8qciIGybB5RI0TcNsNmM2m+WnBSGEKEKv1+Pj40ODBg0YOnQo06ZN49dff2XDhg388ssvTJo0iX79+lGxYkXOnj1LUlISsbGxHDt2jCNHjhAdHU1CQgLp6emYTCYsFovjpxDiikptcMnJyWH79u188803TJ06lalTp9oX+7mShIQE3n//faZMmcL27dsdD3P27FlmzJjB4MGDue+++3j55ZfZvXu3/IQghBCXoCuy2/X999/Pa6+9xoIFC9iwYQPffPMNDRs2JDg4GA8PDywWCxkZGcTFxREdHc3Ro0c5fvw4sbGxpKenk5eXJxUZcVWlNrisWrWKzp078+ijjzJ58mQmTZrEnj17HE8rxmw28/HHH/Piiy8yefJktm3bVux4cnIyTz31FGPGjGHPnj0kJCTw8ccfM3jwYDZv3lzsXCGEEBezrWVSsWJFWrduTaVKlQgPD6dmzZrUqlWLqlWrEhISgpeXF5qmkZWVRWJiImfOnOHMmTMcP36cxMREcnJysFgsEmIuwbb55p2q1AYXf39/+vfvz//+9z+efvppx8OXtGbNGr788kuqVavmeAiAJUuWsHjxYtq0acPy5cvZuHEjb7zxBidOnGDGjBkUFBQ4vkQIIcRlGAwG3NzcyM7Oxmq14uXlRVBQEBEREdSsWZPatWtTo0YNwsLC8PFRexRlZWURFxfHsWPH7MNKmZmZmM3mO/rN2kbTNHJycsjPz8fd3f2Sa7iUdaV2ATpbOdFgMDB37lxGjRrF/PnzGTZsmOOpcH6xqEGDBpGdnc3AgQP573//y4wZM/i///s/OL8Y09ChQ1m0aBG//PILffv2hfNVmB49epCQkMC6devsSzhfiixA51yyAJ1zyQJ0zlXaF6C7VTIyMkhISMBoNOLl5VVstkzRN12TyUROTg5WqxWTyURGRgYFBQX27/Oenp74+Pjg5+eHh4cHRqMRnU6Hpml3VC9iYWEh2dnZuLi4EBERcdnNMmUButuQXq/HYDA4Pn1JmqYxd+5ctm3bxosvvnjJiktmZiYHDx6kevXqNG/e3P58cHAwzZo14+zZs8TExBR7jRBCiCvz9fUlIiICT09PTCYTWVlZ9kdmZiaZmZlkZWWRnp5OVlYW7u7uBAQEEBYWRnBwMG5ubqSnp7Njxw5WrlzJwoULWbhwIStXrmTr1q0cOnSIjIwMcnNzycnJKXb9svgwm80EBATcsh2+b0eltuJS1NUqLps3b2bgwIF06dKFL774gsWLF/Pggw8Wq7js37+fDh06ULt2bdasWYOXl5f99VOmTGHy5Ml89NFHPPvss0WuDDt27ODYsWPo9XqysrJ44403GDt2LIMHD6awsLDYuaLkdDod2dnZnDhxgpo1a+Lh4SFl4hsg99O5bEMaJ0+epFatWri7u8v9vAJbZcTWs3Kp4Y2kpCQyMjKoVq3aRWuYpKens2XLFtasWcOhQ4dISkoiPz8fo9FIUFAQ7du3p0uXLtStW5fAwEAMBkOZrMRomlbsh/bL/ZszGo3MmDGDzZs3l8mKS5kPLqmpqQwZMoSTJ0+yZMkS6taty48//siQIUOKBZft27cTGRlJo0aNLhtcpk6dysSJE4tcHaZOncp3332H0WjEYrFw6tQpxowZQ9euXWWa3w2yWCyYTCY8PT0v+kYmrp3cT+eS++lcBQUFmM1mPD09HQ+h0+nQ6/UUFBSQlpbGiRMn2L17N3v37iUmJob8/HwMBgMhISHUr1+fpk2bUr16dSIiIuwh/U6arWQwGPjuu+84evSoBJfb1ZWCy7vvvssrr7zC66+/znPPPYder+fHH39kxIgRvP/++zz99NO4u7uzZ88eIiMjqVu37mWDy1tvvcV///vfYtfPysrCZDKh1+tJTU2lX79+jBs3jkceeUQqLjdAp9ORlpbGnj17uPvuu/Hx8bljvuncDEXv5z333IO3t7fczxug0+lITU1l7969cj+dQKfTceLECc6dO0ezZs2uGARtIcZqtZKSksKOHTtYvXo169ev58SJE+Tl5aHX6wkODqZ58+b06NGDli1bUrVqVXsDsNVqLXPVmKKMRiPTpk1j9erVElxuV5cLLoWFhfTv359ly5ZRv359PDw84HwV5sSJE0RERFC9enVmzpxJ+fLladu2LTqdjvXr11O+fHn7dZ577jlmzJjBwoUL6devn/15R9Kc61zSnOtc0pzrXNKc61zHjx8nISGB1q1bl7h/0cZqtXLu3DkOHjzIxo0bWbNmDfv37yc7OxudTkdQUBCNGjWiZcuWNGvWjLvvvpvy5cvj4uLieKkyQ5pzSymdTke1atWoX78+Op2OvLw88vPz7ZUQs9lsX4La09OTsLAwYmJiOHz4sP0amZmZ7NixAz8/P8LDw4tcXQghxO1Ar9cTGhpKp06deP3111mxYgW///47r732Gl26dLH/QPrmm28yaNAgOnbsyJAhQ/jggw/Ytm0bycnJMrRfipTa4GJbgTE7OxuTyQRAbm4u2dnZZGRkYLFYMBgMvPnmm2zatImNGzeyceNGNm/ezOTJkwF4/vnnWb16tb25rl+/fphMJr744gsyMzOxWq0sW7aM3bt3065dOxo2bOjwVQghhLjd+Pn50b59eyZPnsyvv/5q31fpqaeeol69epw9e5ZFixYxfvx4unbtSpcuXXjmmWf47rvv2L9/P7m5uY6XFLeRUhtcTpw4Qa9evWjVqhXvvfcenG+UbdmyJX379uXMmTPodDq8vb0JCAiwP7y9ve3NX56ennh5eWE0GgG4//77iYyMZMGCBfTp04dBgwbxf//3f/j5+fHUU0+VuXKbEEKUdZ6entSvX5+HHnqIGTNmEBUVRVRUFO+//z4DBgwgNDSUQ4cOMWfOHB555BE6depE3759efXVV1m6dClxcXHSr3ibMUyaNEmVH0qZvLw8YmNjCQkJoU6dOjRv3pyaNWsSERFBtWrVaN++/WXHnW3T6Dp27EiVKlXsz/v6+tK+fXt0Oh3R0dGkpaXRsGFDJk+eTM+ePS85ha8ok8nEvHnzaN26NY0aNXI8LK6RyWQiISGB8PBw3NzcHA+LayT307ls9/NKi4CJkktNTSU7O5uIiIgrNufeCJ1Oh6enJxUrVqRVq1b069ePgQMH0q5dO2rUqIGLiwuJiYkcPHiQTZs2sWjRIhYvXsyff/5JXFwcBoMBd3f3UrFi7ebNmzl+/DjDhg2z/3BeVpSJ5lxns01z1DQNV1fXEn+Tl+Zc55LmXOeS5lznkuZc57qR5lxnycnJISYmhr1797Jx40b+/vtvjh07Zh868vHxoWrVqrRp04bevXvTunVrfH19b8sQI825dxiDwYC3tzc+Pj4lDi1CCCFKNy8vL+rXr8+QIUP49NNPiYqK4vfff2fatGn0798ff39/Dh48yKxZsxg0aBA9evTgzTffZM+ePfZeS3HzSXARQgghHBgMBoKCgoiMjGT8+PF89913rF+/nu+//57HH3+cChUq8Pfff9tnLj300EPMmzePmJiYMr1GzO1AgosQQghxFW5ublSrVo0BAwYwa9YsVq9ezdy5c7nvvvuwWCwsWbKExx57jG7dujFmzBg2bdpERkaGLEx4E0hwEUIIIa6BwWCgatWqPP744yxYsIA1a9bw+uuv06hRI2JiYpg+fTq9evWiT58+fPTRR+zbt09mJjmRBBchhBDiOnl6enL33XfzyiuvsHLlSn744QdGjBiBn58fmzdvZuzYsXTr1o3hw4fz3XffkZiYKENJN0iCixBCCHGDdDod5cqVo3///syePZt169bx6aef0rlzZ/Lz8+175HXt2pXXXnuNP/74g9zcXBlKug4SXIQQQggncnFxoVatWjz55JMsXryY5cuXM2HCBBo2bMiRI0d466236N27N/3792f69OkcP35chpKugQQXIYQQ4ibQ6XR4eXnRsmVL3nrrLVasWMGCBQsYNGgQPj4+rF69mjFjxtC5c2f+85//sGTJEhISEmTfpKuQ4CKEEELcZDqdjvLlyzNw4EC++eYboqKimDZtGpGRkaSkpPDdd98xePBgOnfuzIsvvsimTZtIT0+XoaRLkOAihBBC3EKurq7UqVOH8ePHs3jxYpYuXcq4ceOoVq0a0dHRfPjhh/Ts2ZN7772Xd999l3/++Uc2fixCgosQQgjxL/Hx8aFjx4688847REVF8f333/PEE09Qvnx5tm/fzksvvUTXrl3p378/M2bMkH4YCS5CCCHEv0+v11OxYkX69+9vX+Buzpw5DBgwAIDVq1fz/PPP07lzZ4YPH86PP/54x06tluAihBBC3Eb0ej01atTgscce47vvvmPVqlVMmzaNDh06kJKSwo8//sjw4cPp3Lkzo0ePZunSpaSlpd0x/TASXIQQQojblKurK02bNrX3w/z2229MmDCBRo0aceLECWbNmsXgwYPp2bMnr732Glu2bCnzQ0kSXIQQQohSwNfXl06dOvHWW2/ZV+l94oknqFy5Mtu3b+fNN9+kd+/e9O3bl5UrV6LXl823+LL5pxJCCCHKKJ1OR2BgIPfffz+zZs1izZo1zJkzh4EDB+Lh4cGKFSvYuHEjOp3O8aVlggQXIYQQopTS6/VERETY+2FWrlzJtGnTqFevXplt3JXgIoQQQpQBLi4uNGzYkPHjx/PQQw+V2WZdCS5CCCFEGWMwGByfKjMkuAghhBCi1JDgIoQQQohSQ4KLEEIIIUoNCS43Q1aW+jUjA06fhrg4KCgAiwXOnoX4eCgsBE2DzExITlbHAKzWC8eEEEIIUYwEF2fS6VTgePtteOklGDYM2rWDDh3gxRdhwgTo2FF9PG4c/O9/0KcPdO4Mzz0Hq1fDlCkweDC8+SYcOwZ798KyZfDHH5CdDWYzJCaqcCThRgghxB1GZ7Va5d3PSVJSU+kUGcm4/ft52BZibGwLATk+Z/tYpwN3d8jLu/BcjRqQkwPnzqljkZEQHAx//61+feghaNsWduxQFZt27aBmzQsVG6MRSnFneWpqKjt37qRly5b4+Pg4HhbXKCUlhV27dsn9dBLb/WzVqhXe3t6Oh8U1On78OAkJCbRu3bpMz4i5VaZNm8aKFStYuXIl7u7ujodLNam43CyO1RBNu/RzRX9vMhV/7vhxSEhQoSQnR1Ve5s2Dw4fhzz9hzBjo3h0efxxGjoT77oOJE+GBB6B3b1X12b8ftm+HJUtg3z4VakCGo4QQQpRKNz24mEym63rk5+eX2cVznCYvTwUbq1WFkKNH4Z13VEhZuxbefx969FCPAQOgWzd47z149101jPXqq3DokBqCio6GmBjViyOEEELcpm76UFHHjh2xWq3XFEI0TaN58+a8/fbbuLq6Oh6+bRUbKnI8eLswGlXQsS0FXasWhIWp0GMwwNChqlqza5f6uE0baNBAVWisVnBzg1u0cZcMFTmXDBU5lwwVOZcMFTmXDBXdgE2bNhEdHc3Zs2dJTEws0WPnzp3s2bPnmsLObaV6ddWI27u3CgU1asDo0aonJTRU9af07g39+kFQEHh7Q926cM89YAtq3t7q3KKbZDnjP7PZfCG0gAosGzaomU6xsapK06cPPPss/N//qeGnKVPgwQehVy+YOlXNlIqJgYMH1e/L6H4YQgghbj83veLi7u7O/Pnz6dKlCxbblN8rsFqtjBgxgtzcXFatWoWbm5vjKbetlJQUOnXqxLjHH+fhkSPVVOfTp1VjbeXKqmpx/LiaEh0SokLJoUOqt6ViRfD0hHXrVDNurVoquHz9NWzZAnXqqHDz++/quqDOd+yLudn0emjYUH0NmZkqhD33HPj5qSrNXXepvpvgYMjNVed7eBQPYCUkFRfnkoqLc0nFxbmk4uJcZbnictODyz333MP06dNp3bq146FLslqtjBkzhszMTGbPnn3VoSJN08jNzcViseDh4YGLi4vjKVitVnJyckhMTCQvL4/Q0FACAwMv+58jPz+fM2fOkJeXR0REBD4+PiXaHjwlNZVOHTsyLjubh8uXV0/q9SpYWK3qzVuvh5QUtXaLpl0YdrE179q+JlsYMZtVD4qXlxrmycxUz3G+AlOCMHjTubqqP5/ZrP48nTqpqtOePSpcDRkC996rmopdXaFePQgMdLzKRSS4OJcEF+eS4OJcElycS4LLDUhNTcXHx+eSgeJSNE0jOzsbTdOuGBhOnDjBypUr2bdvHwcPHsRkMvH6669z7733FjvvzJkzfPTRR/z555/ExMRgMpmIiIige/fu/N///R/VqlUrdv6WLVv45JNP2LBhA3l5eTRo0ID//Oc/PPjgg1f9y7f3uBw+zMNubpevhNjCSlCQqlRczeWmVttkZ0NSUvHnHFmtambS5b6mm8ndHSpVUgvxAbRoAU8/rYaakpLU2jbduqmvzWxWFRpXV1LT0ti+axetmjfHV95ob5gEF+eS4OJcElycS4LLbejbb79l+PDh9ipLZmYm8+fPZ9iwYcXOW7lyJQMGDKBq1ao0bdoUo9HIzp072bdvH/379+fLL7/E19cXgJMnT9KnTx+OHDlCnz59CAkJ4ddff7VXf4YPH17s2o7sQ0UDBvDwffdduRqiaWo4xd//xsKETqcWozt3zvFIcQUFqp+l6KwhnU4NNa1cqdaCCQxUw1N//61mLHETqzqurhe+Fk9PtShfTo76s9SrBw8/TJbRSMyGDdTs0QP3unXV12s0quqTY3gTVyXBxbkkuDiXBBfnkuDiRBaLhZiYGI4fP86pU6eKHbNarTRq1IhWrVoVe/5Sjh8/zubNm6lTpw5RUVG8+uqrlwwuBw4cYPv27dx7772UL18enU5HdHQ0DzzwAPv372fx4sX06NEDzv9Fv/TSSzz99NO8++67eHp68vPPP/PYY4/RqFEjli1bZg85l2IPLuPG8fDDt+28oovl5MCpU+DrCz4+sHw5bNqkQstdd8GiRepjsxkqVFDDXCaT41Wcy8MDzWiEnBx0gYGqBwjU11i9uvq9u7sKOa6uqopVo4ZqatY0KF9enatp6jxPz2KXvxNJcHEuCS7OJcHFuSS4OElWVhYffPABX3zxBUlJSRRcYs2QF154gQ8++MDx6SuaO3cuo0aNumRwuZzRo0fz6aefMnPmTEaNGkVOTg69evVi+/btrF69mjZt2sD5dWj69evH5s2bWbt2Lc2bN3e8lF2pDS5Xk5amKjJZWSrIbN4M336r9mIKC4P8fIiKUpUZWx/PzajSXI2n54UeoeBgFcI0DcqVg/Bw9Xt/f9X4rNOp31erpn5vm8UFasq3l9eF65aR6o4EF+eS4OJcElycqywHl5s+Hbqon376ibfeeovw8HB69uyJl5cXzz77LIMHD8bf358aNWrQq1cvx5c5XVZWFkeOHMHV1ZXq5396z83N5dy5c1SpUoWaNWvaz/Xw8KBJkybk5OQQZ+vRKELTtMtO27YdK/UPf3+0rl3R+vdHq1EDbfhwtCVL0KKi0H74Ae2bb9A+/RTtqafQpk5F+/BDtDp10PR69do6dVT1xHZfzj+cLjdXhausLDh5Uu3ztG+fmqk1fz588w3MmKGmpj/zDDzyCHTtCl26qP2iIiPVkFWvXjB8ODz8MIwfD598ol7388+wdat6xMSoylNyshryOn+vrJqGFYo9bH/ei+7rLXxciuM58ij5w/E+yv28sUfR+yj38sYfZd0tq7gUFhYyePBg9u/fz4oVK9i6dSujR49m3bp1NGnShF9++YWnnnqKCRMmMH78eMeXX9G1VFwsFgszZ85k7NixtG3blkWLFuHv78+ePXuIjIykbt26rFmzBq8iP3FPmTKFyZMn8+abb/LSSy8Vu95nn33GihUrMBqNFBQUsHHjRsaMGUOvXr1KNP27TLBVWTTtQiPxiROwezdUqIAWEYH/Dz8QuGcPmk5Hdng45fbuxet8X45Vr0evaehu8X+4Qg8PzJ6euKek2D+2Ggy45OTYvxbd+Qec7/cxGtWftXx51USs16uqjbc3mk5HVng4Zg8PCnx8yD0/syzf359CT0/Q6Sj08lKBTq8vPqPMpuiaOE6+HwUFBaSlpREYGFjiZnlxefn5+aSnpxMUFISxSDAX1yc7O5u8vDyCgoIuOylDlIzBYOCrr75i3759ZbLicsuCi8lkomvXroSEhLBw4ULmzZvHc889x9q1a7n77rsxmUz07dsXs9nMsmXLrulGX0twWblyJcOGDSMwMJAvvviCdu3aAbB9+3YiIyNp1KjRZYPL1KlTmThxYpGrqSrSpk2bMBgM5OXlsWjRIsaOHct9992H2TZt+U6k16s3ek1NBddrGobzQ4MWFxd8Y2Op8Ndf6AsLyaheHe8dO3BdvFgNP1WurJqDY2Mdr+pUhR4emD088EhNRQPSGjUiu1EjvLZtQwcY77kHn7AwdBkZakZURob6c6WmqtlQVqua0ZWbCw5VJCtg1elAp6PA1xeLuzua0UhOaChWFxdMgYGYypVTQa96dTW7zMVFzb4yGFRfjo+P+nxGY/GZZbZwY/u4BAFHp9ORl5fHuXPnCA0NxdXV9Y74yexm0el0mEwmkpKS5H46gU6nIz09ndzcXEJDQyW43CCj0chnn33G7t27JbjcCJPJRLdu3QgODubXX39l5cqVDBo0iDlz5vDQQw9RUFBA//79SUtLY82aNXheQzNlSYPL+vXreeKJJ0hLS+Obb76hZ8+e9mPHjh2jQ4cOVK5cmTVr1hQbs7YFl48//pjRo0fbn3dUZntcboKL/tHl5aE7fhzOnFFbDJw5Q+F775F17Bi+1atj9PZWTcImk3oTd3Fx/r5Ker0a0rJtQFm9OvTvj+6ff1SfT5s2akPLc+dURcnWK5OcrAJGTIwKOLm5cOSIamZOT1f7SYEKPrbZWkXZgomrq1qYUK9XM7zCw1XvTZ06qu+mTh0VZiIi1Md+furX8wHpaqTHxbmkx8W5pMfFucpyj8stCy6apvH444+zceNGNm7ciNVqpUOHDgQFBfHKK69w5MgR3njjDe69916+++67ayq9liS42EJLcnIy7777Lo899lix/xypqalERkaSkZHBhg0bqFq1Kpz/up966ik+//xzli1bRvfu3YtctTgJLs6Vdu4cu7Zvp3mrVvi4u8Pq1bBtGwQEqDf1WbPUztdGo6pUnDplr37cFLZhodxctRBg9eqqX8bbW4WWmjVVv4y3t2pY5vyMrbQ09fvYWBVkCgvVisn5+SroxMWpoHT6tDrfbFZVHcetFGxDVeXLq5BTubIKL7VqqXtSs6aaSVW+vAo+Pj6qYVmnA4OBlNRUdu7eTasWLfCRN9obJsHFuSS4OJcEFyf59ttvmTRpErNmzaJbt2688cYbvPnmmxQUFKBpGmFhYXz++ef26ckldbXgYgstqampvP/++zz66KPobf0F5xUWFjJ06FAWLVrEzz//TL9+/QCIi4uja9euZGZmsm7dOmrVqlXsdUVJcHGuq66cm5SkVuc1GlU14tdfYelSNaOpUiW1BcE//6hQUHR1X2dyd1efr7BQVYH691eNvMHBjmdemtmsXq9pkJKiwkx+vmouzs9Xqw3n5KiPk5IuDFllZ1/Y+sHG1mvk76/CU8WKKsCULw9VqpDp6cnxggLqNGiAZ7166uv19lYPzgcjh/8X4vIkuDiXBBfnkuDiJCaTieTkZPz8/PD19cVkMrF06VIOHDiAwWCgc+fOtG7dukTjm1lZWfz9999YrVaWL1/O9OnTGTduHF26dMFoNNKiRQu8vLzYsmULjzzyCNHR0QwaNIhHHnkEvV5v775u0KABlSpVAmDhwoUMGzaMJk2a8NFHH1GuXDk++ugjZsyYwdChQ/nyyy+v2NQowcW5rhpcHBUNJgaDepP/7Tf1hl+/Phw7Bp99poZuypdXgSEx0fEqN0avhzlz4LHHHI/cGFvASU9Xw2XJyWrI6swZtUFmWpraBysjQ1V2CgrUOUUaxDXOhxujEV1w8IXqjW3frNq1VZXG3V3ti+XiotbtCQxUx4OCLjQnX0NFtKyS4OJcElycS4LLDdI0jdTUVM6cOYPFYiE8PJzg4OCLqh7XYv/+/XTs2JGU8zNCiqpQoQIbNmygZs2aTJ06lUmTJsH5TmtrkfK7pmnMmjWLJ598Es4Hq5deeonZs2fj5eWFq6srKSkpNGnShNmzZ9OkSRP7ay9FgotzXXNwuRqzWfWmxMSoYZb0dJg5U61RExAAVaoU38TScJ2rBj/9tJpCfStZreprNZnUnys/Xw2dZWSofpv8fAr27iUjPp6AnByM2dnq/KQkVS3iEk2+uvNr3Xh6qqBSpYrqqalQQVW0dDq16J+//4UAFBBwYT2dEvwAUppJcHEuCS7OJcHlBlitVpYsWcLbb7/N8ePHsVqtRERE8Oijj/LUU09dUxNuUefOnePbb78lNze3WIVG0zS8vb0ZPnw4gYGB/Pnnn2zYsOGSVRxN0+jZsydNmza1P5eTk8OKFStYt24d6enptGzZkn79+hEREVHstZciwcW5nB5cHGmaevNOSVFVBlsfzZ49qtoQFgYLFsAff6jz/PxUqLlUg21Rn3yiwsttJvXcOXbt2kWL2rXxcXFRgeXUKfWrrXJjtaqtITIzVQA6c0bdp7Q0NTx1fpbYRXx8VH9NRIQKNdWrq3BYsaL61ba9hYvLhUUCSzkJLs4lwcW5JLjcgD179tC/f39OnjxJ1apVcXd35+TJkwDMnz+fgQMHOr7ktmC1WtE0Db1ef8nQcykSXJzrpgeXksjIUIvY5eerSsNff8HXX6vhpkaN1Bv79u0XqhWtW8MPP6jm4dtMSmoqu652P23BRNNUQMvIUJWThAQVZMxm1XeTl6eeO31aBZqYGBVuMjIu9OxwvmoTEKCqMaGhqrm5QgU1LFWunKrilCunqjSurqWqSiPBxbkkuDiXBJcb8Nprr/Hmm28yevRoxowZg6enJ19++SUvvfQS//nPf/jss88cX1JqSXBxrtsiuDjSNPVGnZ2t3pDPnVNVmd27VZAZNEjN7rkN2d5onXY/bQGnoEAFlqQk9Th+XDUTR0erYHfunHqYTMWH3lxcLswQCw5Ws6NCQ1WoqVpVVXHKlVPDU25ut13jsAQX55Lg4lwSXG7AM888w6+//mrvOQFITk4mMjISX19fVq9eXWb+00twca7bMrhciqaph65k66n8W5weXK7Edk9sIS8uTjULHz2qmqQTElS/UVqaCjX5+cV7bHx91dBdRISa9VS7thqqs/1arZraT8o2Ndzd/ZYHGwkuziXBxbnKcnC56f/TNU3D1dW1WC+Lm5sbHh4eZGdn39mry4qywTYN+TYOLbec7Z74+qpeoWbN4N574dln1XTxH3+EtWthwwZYswa+/BLeeQcefVSdFx6uwsiBA7BlC8ydC++9pxYAHDwYOnaE9u3VXlO9eqmeogkT1DDeDz/A33+rtXJSUtR08utpshZC3JZuScVl8eLFzJs3j5CQEDRNIzc3l8cee4yCggK+/vpr+09/mqZRrlw5KlSo4HiZUkEqLs5VaioupcQtrbhcD1vFpaDgwjo1586pSs2pU+r3tvVsYmPV8FRKimoudvwByNtbDS9VrKh+X7Om6rOpXVsNR4WHq2Eob2/VX3Md1RqpuDiXVFycqyxXXG56cHn22Wf55JNP8PHxKdbkmpOTg6ZpeHl52Z83m80899xzvPnmm0WuUHpIcHEuCS7OddsHl6uxDcfl5anVi9PTVXBJSFAzouLiLsyOSkxUqw+npakgVDTYuLqqsBIaqtaoqVlTDT1VrqyahYOD1TF3d7WR5mUqaRJcnEuCi3NJcLkB06ZN44cffrhoZo7t46Ibk5nNZh555BHGjh1b5MzSQ4KLc0lwca5SH1xKymRS4SYl5cKU7nPn1Myn+HjVPJyQoCo3eXnFQ42Hhwo1YWGqf6Z6dbUqc0iI+n1goAo2Xl6kZGWx859/aNW8uWyh4AQSXJxLgssNMJlM5Nv2bSkBW/9LaSTBxbkkuDjXHRNcrsRqVdWa1FQ1BBUTA2fPqineZ8+qmVDx8WqYKjf3wvCVXq8qMAEBaoipcmWyy5XjtIcH1dq0wb16dRVu/P1V0/BlqjTi8iS4OJcEF1EiElycS4KLc0lwuQqzWTXynj2rKjW2ysyJE2q9mtOnVajJySm+CKHRqEJN+fKqUlOlihp2iohQQ1BhYSrUeHmp82xDXqIYCS7OJcHlBlitVg4fPkxGRgb16tXDz8+PgoIClixZQkJCgn3Zf6vVSs2aNenevfsNbQXwb5Lg4lwSXJxLgssNyMu7EGrO7xGVd+AASXv3EpKZiWtSkno+O/vifho/P1WliYhQvTN16qiQU6uWCjV+fmr2le3N+g4NNRJcnEuCyw04evQoAwcORKfTsXTpUipVqkRWVhbdunXj77//LnZu5cqVWb58OXXr1i32fGkhwcW5JLg4lwQX50pJSWHnrl20atwYn8JCNfxkm/10+PCFYSfbjt5ZWcVXFHZ1VQEmIEBVZmyznmrVUkNOYWEq0Pj6XphuX4ZDjQQX5yrLweWmlzaWL1/O4cOHGTZsmH0XZs434rZt25YffviBn376iVdeeYX4+Hh+/fXXYq8XQojblQ7QeXiokNGggVpTZsQImDZNrai8erVaq2b9evjpJ3jrLRg9Grp1U+fn56uQs3ix2lV8zBjo2xe6dIHISOjUSa1b89hj8O67MH8+bNyo9tM6e1b14dhWMBbiDnHTKy6dO3fm6NGjrFu3zr5yblZWFh07dqR+/frMmzcPgISEBNq1a0ezZs349ttvS2XiloqLc0nFxbmk4uJc1z0dWtNUYMnLUzObbFWaI0fUNO7jx9XHSUlq6Ck398JrdTrVU+Pjo2Y4Vaqkfq1e/cJ2Cd7e6nlv71JVrZGKi3NJxeUGnD17lnr16hWrtuj1esqVK0dAQID9ucDAQGrWrMnp06evaRaSEEKUKjqdatL191dryHTpAg89BK+/DjNnwrJlEBUFf/4JK1eqSs3UqTBuHPTpA/fco6Ztp6aqSs4vv6gKzwsvqOPdukG7duq6AwfCyJFqVeLvvoPNm1WTcVZW8c0whShFbnpw4fyaLUXXcfHw8OCzzz7j5Zdftj9nNBrx9PQstq6LEELcUQwGFWpCQqBGDWjbVoWPiRNVOPnpJxVm/vhDDUH99hvMnq2O/+c/anipcmXVIHzokDr+5Zfq+PDhKtS0bw89e6qPp06F77+/EGiysyXQiNveTQ8uwcHBHD9+nLNnz9qf0+v1hIeHU758eftzKSkpHDp0iICAAIxGo/15IYQQRRp6fXzUlGtbT83IkSqAzJkDv/8O69apYLNyJfz8szr2f/+n9nWKiFDhZMsWFVgmT4ahQy8EmnvvhUcegSlT1J5PRQON2SyBRtwWbnpwadasGadPn+a3335zPGSnaRpLliwhOjqaFi1a4Orq6niKEEKIKzEY1P5MFSqoWUodOsCAAara8vHHsGSJqtKsW6d+/957anPKbt1UoMnKgq1bVVPx66+r4avu3dWwU8+eagNMW6DZskX15jhO/xbiFrjpwWXo0KFUrlyZKVOm8PHHHxMXF0d+fj4Wi4X8/HwSEhKYOXMmL730EhUrVmTAgAGOlxBCCHEj9HoVakJD4a67oHdvGDsWpk8vHmgWL1aB5qmnVGgJD79QoSkaaIoOOY0YoZ4vGmhyciTQiJvmps8qAvj8888ZP348WVlZVKtWjSpVqhAREUFcXBwxMTFER0fj4eHB+++/z8iRIx1fXmrIrCLnkllFziWzipzrumcVlQZWq9p1Oy1NzXQ6c0bNeoqOVjt0nzypZj7ZmnxtvLzULCfbhpW2vZ4qVVJTxoODVYC6RDuAzCpyrrI8q+iWBBez2cz69euZM2cOGzduJCMjw96sGxgYSPPmzRk5ciRdu3Yt1cNEElycS4KLc0lwca4yHVwuxxZo0tMvLK539CgcO6b2fbpaoKlUSQ1jVaumpm5XqaKqQOXLcyw2loTkZNq0bCnBxQkkuDhJXl4ex44dIy0tzf5caGgoERERpXZjxaIkuDiXBBfnkuDiXHdkcLkUW8Nufr5aITg+XlVojh1ToSYm5sJmlo5DSN7eKtBERJAeFERGpUpEdOiAvmZNqFhRHXd1ve3XoLkdSXARJSLBxbkkuDiXBBfnkuByFZcKNLGxarjp8GHVC3PqlBqKKhpodDq1xk1EhOqxqVFDVWfq1lVhxrZhpVRlrqgsB5eb3py7YMEC4uPjHZ++LE3T2LBhA6tXr8ZStNQohBCi9LCt1mtbl6ZJE7jvPnj+ebX2zOLFF5qCf/mF5IkTSejVC61VK7V/0/Hjakr39OlqOnfPnmqmVPfu8PjjqiF44UL45x+1i7csXHrHuOnB5bHHHmPfvn2OT1+W1Wrl448/5q233sIsXelCCFG2XCbQpD36KMcnTMC6bNmFQDN/Prz0EjzwgKq4mM2wezfMm6eCywMPQMeOak+ngQPhuefUejYbN6phqsxM1ZcjypSbPlTk6urK6NGjadiwYYkqKJqm8emnnxIQEMCKFStwc3NzPOW2JUNFziVDRc4lQ0XOJUNFznXFWUUWiwoh8fHqcfCgWhn4xAk19HTunNrTyTY8ZdtSoXJlNcxUrZpasK9qVbXOTUCAmt1UhpXloaKbHlz0+usr6nTu3Jnff/9dgssdTIKLc0lwcS4JLs51xeByOSaT2ozy7FlVYTlwQM1sOnJE9dNkZUFBgTrXYFC9MRUqqD2ibKsP16mjngsNVc3AZaQRWILLDbDt/nwtrFYrFStWpHPnziX/B3wbkODiXBJcnEuCi3NJcHGu6woul2I2q8CSkKDCy8GDF6ZsnzgBycmqGbhodSYgQAWZGjVUqKlfX/1aoYLaYqEULtMhwUWUiAQX55Lg4lwSXJxLgotzOS24XIqmqepMcvKF6sz+/Wqa9pEjavp2RoZao4bz1Rl/f1WFKTrMVKeOGn7y91fVGc737NyGynJwub5xHCGEEKK00OnA01MtgNesmdpY8u23VfNvVJRq5l2yBN5/X2130L69CibR0bB0qTp35Ei11UGHDmozyieeULOj/vxTVXZMJtmE8haR4CKEEOLO5OKiFsCrWxd69IAxY+CTT1RY2bABVqyAr7+GF19UO3HXrq0qM1u3wpdfwjPPqDATGQn336+mes+dC9u2qcpOYaGEmZtAgosQQghhY6vOVK6sqivDh6uKyy+/qOrMhg3w888waZKagl27thqCioqCGTNg1Cjo2lVN0x40CF55RW1QuX8/pKaqGVISZm5IqQ0umqZRWFjIuXPn2LFjB1FRUSQmJjqeZpeTk8Nff/1FVFQU69at48yZM2iX+MdjsVg4efIk69atIyoqij179pCXl+d4mhBCiDuFTqemTwcFQcOG0L+/Ci7ffqsCy5o1am2ZF19UC+VVqKD6Zn77TYWehx9WQaZrV/X7t95SQ1MHDqhGYllr5pqU2uCyfft2Bg4cSIcOHejSpQu9e/dm/fr1jqcBcOLECUaMGEG3bt3o27cvvXr1okePHixcuLBYeNE0jZ9++okuXbrQq1cv7rvvPjp27MjLL79MZmZmsWsKIYS4w7m4qDDTvLkKJG+/rVbzXb9eBZqZM9Wqv5GRair2wYPwww/w6qswYIAKMz17wpNPwkcfqWpOQoIMMV1FqQ0ux48fZ+vWrfj5+REREUFBQcElF7gzm8289957/PLLL7Rs2ZLvvvuOKVOmkJiYyIQJEzh69Kj93L/++osxY8aQl5fHm2++yZdffknDhg2ZPn06n376abHrCiGEEMXYKjMVKqgwM2oUfPyx6pnZuFH1zHz6KTzyiDpuNMJff8EXX6j+mp49L6wC/PrrsGyZWpcmL0+qMkWU2uDSqVMnNm3axNq1a/m///s/x8N20dHRLF26lOrVqzNjxgzuv/9+xo0bx6hRozh58iTLli2zn/vrr79y9uxZXnjhBcaMGcODDz7IJ598QmhoKN988w1xcXHFri2EEEJckV5/oWcmMlLNWvr8c7UP04YNajjprbdUWKlVSw0xLV0KU6ZAv36qKtOnD4wbp6o1Bw9CdvYdHWRKbXAJDQ2lTp06eHl5XXF13iNHjhAfH0/Xrl2pVasWADqdjk6dOuHq6srq1avJy8sjIyODtWvXEhwczL333mt/fZ06dWjbti3R0dHFqjNCCCHEdTEYwNdXBZV774UJE1QDr61f5pNPVFXmnntUSFm3Tg0lDR2qgkyvXqpC89lnsHMnpKWppt87xOXf8cuIgwcPAhAeHo6uyEJBVatWpXz58iQkJJCfn09WVhZpaWlUrlyZiIgI+3kuLi7UrVuXwsJCTp48aX/eprCwEJPJRF5eHvn5+WiaZu+bsVgs8rjOh9VqxWq1omma/WPHc+RR8oftXmqaZr+3jufIo+QP2z20/T+X+3ljD8f7ecc9rFYsOh2WwEAsLVpgeeopLJ99hmXZMixRUVi++ALLqFFY2rfHotdj/fNPtOnTVW9Mly6q6XfUKPjwQ9i0Sc1yKsObFN/0lXMtFgvx8fF4eXnh5+fn/BURgblz5zJq1Cjmz5/PsGHDih2bOnUqkyZN4ueff2bAgAH257Ozs+nUqRMmk4nNmzdz9OhRIiMjueuuu1izZg1eXl72c6dMmcLkyZOZOnUqEydOtD8P8L///Y+FCxdiNBopLCxk3759jBkzhh49esju1jdAp9NRWFhIdnY2Pj4+GI3GS84CEyUj99O5it5PX19fDAaD3M8boNPpMJlMFBQU4Ovr63j4zmT7QVuvVw+zWW0kGReH69Gj+B87RsCxY3gmJOCelobBYkHH+S0MqlVjWk4OK6pWZeXy5WVu5dybHlz++ecfRowYQWhoKLNnz6Zy5cqOp9j/wxetiFyLkgSXBQsW8OCDD9qfz8rKolOnTuTl5bF582aOHTtGZGQkDRs2vKbgsmbNGnbu3InBYCA3N5c5c+YwduxY+vfvL8HlBuh0OnJzczlz5gyVKlXC3d1d3hhugE6nIycnh7i4OLmfTlD0flauXBk3Nze5nzdAp9ORnJxMVlYWlStXvu73gjJPp1MPvR6dpmHIy8M1MxOf+Hh8Dh9Gt307HD4MZ86o4NKxIyuXLStzwQWr1ardzMfzzz+v6XQ67dVXX9XMZvNFx61WqxYXF6fNnTtXi4qK0kwm00XHr/aYPXu2Bmjz58+/6NjUqVM1QJsyZUqx548ePaqFhoZqDRs21NLS0rS4uDitWrVqWrNmzbSMjIxi57722msaoM2bN++i6xd9JCUlaQ0bNrzqefIo2SM5OVlbtWrVRX8f8ri+R1JSktxPJz5s9zMzM/OiY/K49sfRo0e1jRs3aoWFhRcdk0cJHhaLZs3L06zx8Zp161bt7QEDtPbt22u5ubkXn1vKHze9x2Xjxo1UqVKFESNGXLaJ1s/Pjw0bNtC/f3/+/PNPx8M3pF69egCcOnWq2E9EiYmJpKenExERgYeHB15eXgQGBnLq1ClOnz5tP89sNnPw4EFcXV0vWS0SQggh/nU6ndrFOjQUWrRQjb1l1KWThBPl5+dTu3ZtKlas6HjIztPTkyeffBKLxcK6descD9+QRo0aUalSJf766y/7dGZN01ixYgV5eXm0bNkSV1dXfH19ad26NefOnWP58uX2kLNv3z62bNlCrVq1qF27tsPVhRBCCHEr3fTgotPpyMzMvOqy+fXq1aNatWps376d/Px8x8MXSU1N5dtvv+Wrr75iy5YtAGzatImvvvqKBQsWkJGRAUClSpW49957OXDgAC+88AKrVq3iww8/ZNasWVStWpU+ffrYr9m7d298fX2ZNm0aH330EatWrWLixInEx8fTu3dvQkJC7OcKIYQQ4ta76cElLCyMo0ePXnIqcVEBAQHUrFmT7OxsLCWYj56YmMikSZN44YUX+O233/D39+eXX37hhRdeYMqUKSQnJwNgNBqZNGkSw4YNY+XKlfTt25eXXnqJihUrMnPmTBo1amS/ZocOHZg2bRq+vr5MmDCBvn37snnzZkaNGsVzzz1X5LMLIYQQ4t9w04NL3759SUtL49133yU7O9vxsF1OTg7x8fEl7iavWrUqS5YsYcOGDaxfv97+2LBhAwsXLiQ8PNx+bmhoKLNmzWLlypXMmjWLr7/+mmXLltGtW7di13RxceGJJ55g5cqVzJs3j1mzZrFixQr+97//SbVFCCGEuA3c9ODSr18/IiMj+emnnxg7dizHjh275LTBvXv3cujQIWrUqFGiqVseHh40aNCAxo0b06hRI/ujcePG1K9fHzc3t2Lne3l50aZNGx599FGGDBlCpUqVLhmS9Ho9tWrVYsiQITz66KO0bt26RF+PEEIIIW6+mx5cQkNDef/992nUqBGfffYZ9957LxMnTmT16tXs37+fAwcO8O233/J///d/9kXhLjf7SAghhBB3tluSEBo1asQ333zDsGHDOHv2LO+88w69e/emY8eOREZGMmLECA4cOMCgQYO47777HF8uhBBCCAG3KrhwfrPCOXPmsHDhQp599lk6dOhAUFAQYWFhdOvWjf/97398+umnBAQEOL5UCCGEEAJuZXDhfF+KLaQsXbqUdevWsXbtWhYtWsQzzzwjoUUIIYQQV3RLg4uNXq/H3d2dsLAwgoODcXNzu2SjrBBCCCFEUf9KcBFCCCGEuB4SXIQQQghRakhwEUIIIUSpIcFFCCGEEKWGBBchhBBClBoSXIQQQghRakhwEUIIIUSpIcFFCCGEEKWGBBchhBBClBoSXIQQQghRakhwEUIIIUSpIcFFCCGEEKWGBBchhBBClBoSXIQQQghRakhwEUIIIUSpIcFFCCGEEKWGBBchhBBClBoSXIQQQghRakhwEUIIIUSpIcFFCCGEEKWGBBchhBBClBoSXIQQQghRakhwEUIIIUSpIcFFCCGEEKWGBBcn0unAaoX16+H4cVi+HF58Ed59F/buhT17YNo0eO892LkTEhNhyRL48UfYtw/y8tTrDhyAM2fUtfLyIDsbTCbQNMfPKIQQQtxZdFartcy/Hebn5/Pnn3+ydu1a0tPTMRqNNGnShHvvvZfQ0NBi52ZlZbFu3Tr++OMPcnNzqVq1KoMHD6Zy5crFzruU1NQUIiM7sX//OCIiHiY9HbKy1DHbp0lMvPBxUBAcPQqFhVCxIrRsCdu3q6BSrhz07QvHjqkQExAADz6owsvOneDuro7XqAG7d4ObGzRsCMHBKuyYzeDhAQbDha+vtElNTWXnzp20bNkSHx8fx8PiGqWkpLBr1y65n05iu5+tWrXC29vb8bC4RsePHychIYHWrVtjKM3fuG4T06ZNY8WKFaxcuRJ3d3fHw6VamQ8uVquVDz74gClTpmCxWKhcuTJpaWkkJSXRuXNn5s6dS5UqVeB8aPnvf//LF198gYeHB56enpw9e5Z77rmHzz//nAYNGjhevpiiwQUedjx8w1xcVHAxm9XHISEq/ERHg14PLVpAhw6wbRukpUG3birsHDsGyclQqRK0batem5enrufhoSpFtyMJLs4lwcW5JLg4lwQX5yrLwaXMDxUdOXKEGTNm4O7uzty5c9m8eTNr167l/vvvJyoqigULFtjPXb58OXPnzuWuu+5i1apV/Pnnn4wdO5Zt27bx4YcfYrFYil37VissvBBaAM6ehYMHIT9fDSVt2ACvvw4rVsBff8Ebb0D37jB4MDz2GPTvDyNHwtCh0KkT9OsH338Pf/wBX3yhfh8bq4aosrIgMxP+5T+yEEIIUUyZDy6nT58mLi6OFi1a8MADDxAYGEj9+vUZOnQoAMeOHQPAYrGwYsUKLBYLo0ePpnnz5lStWpVnn32WevXqsXr1avu5pYXVqoJIfr76OCsLvvkGFi1Sw0tr1sATT8B996lfhw1Tw0//93/Qowd07qzCz9Gj8Msv8NVXqlfHalUhKj1d/SqEEELcKmU+uAQGBuLr60tKSgoZGRn250+fPg1AWFgYAJmZmfzzzz9UrlyZdu3a2c8LCwujefPmxMfHc/LkSfvzVxMeDkWrx0FBULQ67+VV/GODAVxdL3x8q5hMYLstmqYCzZw5sHWr6qV5800VYIYNU1WbXr1g7FgYPlxVbZ57TjUT790L330HW7aoawohhBA3Q5nvccnPz+ell17i888/p23btnTv3p24uDh+/PFHfH19+eGHH6hfvz4nT56kQ4cOVKxYkaioKLy8vOzXmDJlCpMnT+aDDz7ghRdeKHb9EydOkJiYiE6nIzMzk//7v2do124sI0c+xNGjZtavB09PVdVISYHVq9VwT7t2Krz88INqvu3RQzXozpunhmgqV4Y6deC339xISzPi6WmhevV89u71JjfXBdBwczNTUGBE02xNKra/ylvbtFK9umooTkpSYe3BB1U/zaFDKowNGGDmrrtMJCR4oWlQsWIO3t4FaJoOqxUMBg2r1fFr1pGRkcHhw4dp0KABXl5eaDKt6rrpdMXvp6enp+Mp4hrodDrS09M5evQoDRo0wMPDw/EUcQ10Oh2xsbGkpKTQsGFD9Poy/zP1TWU0Gvnf//7Hhg0bymSPS5kPLgB//PEHw4cP59SpU/j4+GAymbBarbz44otMmjQJNzc3tm/fTmRkJI0aNWLNmjWXDC5Tp05l4sSJxa792muv8fXXX2M0GrFarSQmJjJ+/Bi6dOmCxWKxT2G2NcA6flxQoIZybNWZ7GzVV+Lmph7x8a6YTEbc3CwEBhZw5Igfe/aUw8engJo109i3rxx79pRD06BOnVQSErzZti0Qs1lHxYqF5OToSE42qovfIo5/Vn//QipWzCU21gdN01GnTiodOpwhJsaXjAxXGjVKolWrZMxmjYIC1TDs5weaZiE/Px93d3c0TY+mqWtLfrk+FouFgoIC3Nzc5I3BCeR+OldhYSEWiwU3Nzd0t+uMgVLCYDCwYMECoqOjWbFihQSX0ub06dP069ePI0eOMHbsWPr06cOpU6eYOXMmW7duZdq0aYwePZpdu3YRGRlJgwYNrim4JCQkkJqail6vJz09nREjRjB27FiGDRuGuWgn7XXS6TT7m7Wm6dDri/91aZqOvDzVge/ubsFkMrB7twd5eToaNiwkPl7HggVGjhxR063d3WH+fFXlCQxUAeHIEdW3oj7frQgGGgaDhsWiA3S4uFho1SqXc+dUtal8eXj2WcjMzGf//iSaNAmhVy8X/PwgNVUFOj8/dSXb9zer9VZ83aWXrUJw4MABGjVqVOzft7h2Op2OtLQ0Dh48SOPGjaWCdYN0Oh2nTp0iKSmJxo0by6yiG2Q0GnnvvfdYt26dVFxKo5kzZ/LMM8/w1FNP8fHHH2M0qurD1q1b6dGjB3Xq1CEqKgqTyUS7du1wd3dn3bp1BAUF2a8xfvx4PvjgA77//nseeOCBIlcvLiUlhU6dOjFu3Dgeftj506Gvl8WiKjtuburj06fVFOrwcDWM9dNPsHYthIVB48bq4x07VN9N9epw6tSFPphbE2xUBSo/XzX/urhAZKQaStu+XQWuRx5RU7tt6+LUrAkVKhQPYPJDW3EyHdq5ZDq0c8l0aOeS6dClWEpKCgAVKlSwhxbON90GBASQl5eHxWLBx8eHSpUqERMTw4kTJ+zn5eTksHPnTjw8PAgPD7c/X5oYDGr4Ra9XjypVVMNt7doQEQFjxsCvv8Ls2fDMM+r3S5fC779DVBR8+61qxu3WTa38++ST4O+vrluxourHcbbs7AszlgoL1Qyor79WjcB//KG+zshI1RvUvTsMHAiffaaef/hh+PJLtXbNqVNqanhq6q0JXEIIIW6uMh9cbLOGduzYQWZmpv35devWERsbi5+fH0ajEQ8PD7p27UpWVhbff/89heffNbds2WL/KbVRo0b215clOp2qxthyXVCQCjYdOqiVeHv1gs8/V9sTjB0LH32k1or55RcVKBYtUhWQTp1UaBg9Wq0MbJspFRioApMz5eWpaktenqrMbN0KTz+twtf338NTT0Hv3ipsde8OffqoMLZsGbz9NixerJqlLRbVVJybK8FGCCFKgzI/VBQbG0v//v3ZvXs3PXv25J577iE5OZmff/6ZtLQ0Pv74Y5588kk4v1jd4MGDOXbsGAMGDCAkJIRffvmF1NRUZs6cybBhwxwvX8ztOlR0K5jNKgTYKrwHD6pqh4uL6ln5+WcVFry8oFkz2LgRDh9W53p5qdfb1pu5WXx8VPUmL08FqvbtVfVp61Y1bDZsmHruxAkVYho3VpWlskKGipxLhoqcS4aKnKssDxWV+eACsHv3bmbOnElUVBRmsxlN06hRowZPPPEE/fr1K9ZYt3PnTt5++222bduG1WolPDycZ555hgceeAAXF5di13V0JweXq7FVNlxc1L5Lx4+roaj8fGjVSq0Z8/nnqvIRFqZ6cv75RwUIW7+KrX/lZvHwUJ87IUF9rvbt1arDcXHq62/cGO69V4WfjAy1rcKpU8V7aaxWFYIaNbr9emwkuDiXBBfnkuDiXBJcyoCCggKSkpKwWq1omoafnx9+tqkpDkwmEykpKVitVnx8fPD39y/R9DxbcHnkkXEMHPgw7u4XZr/Y6PVqSKYEl7uj2IJNQYFqzM3Kgvnz89i4MYOOHYPw8THyxRcq8Hh7q96agwfV+TeTXn8hMPn4qG0TzpyBmBj1NcfGFv+7NJvVsNmXX95+f8cSXJxLgotzSXBxLgkuokRsmyyeOjUOb++HCQpSGyEW7Z0ICFA7Otve1DRNzeypW/dCjwmo31etqqYv217v66seNq6uzu8duZ2kpqayfftOWrVSb7Rnz6rhpYAANYPo66/VSr1Go2oQ3rAB9uxRQcPfXw0J5eU5XvXmGzZMLSQowaVsk+DiXBJcnEuCiyiR1NQUOnbsRELCOCyWh8nOLh5arNaSD3fo9eoNuuj/3/LlVbOs7XitWirIWK2qT6RuXXW+pqnzKla8MNQSFKSGQijSjHu7vbE6utru0Jp24X7q9ar6sXatqta0bAmbNqkAkZ8P5cqp5w8cuHBP9Pqbs4nkjQSXPXvUbt5FX6tpKuw2blz0zGsnwcW5JLg4lwQX55LgIkrENlT0xBPj6NDhYVJTLxzT6VSvRFzchTclnU5N2Y2OvnAeQE4OnDx5YSdone5CTwXn38jM5ivPgnF3v7Aar16vQoyPj3qNm5sKOS4u6uMqVdQsIKtVBRzbrG+DQYUlW2uPq2vxqtDNdrXgcjUWi7pnhYUq2KWlwYIFKhw0bKiemzlTDf24uamPExNLHi4v50aCy9ix8OGHxStpVqua5j19etEzr50EF+eS4OJcElycS4KLKJHrac7VtIsDSGGhWkG26PMpKSrk6M43qR47ps7R6dQb9OHDau0TnU4FnxMnVLixhZ6iIaqg4OLPaePmpgKPpqnAEhFxYeG6GjVUFchqVb/WqqWed3dXC9UZjSrchISoz+vicuG11+NGg8ul2O63LVQcP67Ciru7CnbffKOment5QZMmqoE4Jkad6+qq/m4ud+9sbiS4jBmjpps7evpp+OQTx2evTWpqCrt27aRFi1ZOu593MgkuziXBxbkkuIgSuZ7g4gyOb6RFg49Op0JLcvKFc48fV2FGr1eB6PhxdcxkUr+3VXqSktTwCuebTi+3g4Fer9709Xo1HBUerj5vSIjabJHzK9sGBqowU6OGCgGenmoIh/OByXF37NTUVHbt2kGLFi3x8SnS3HMTWa3q3hgMKsDt3q0WsNM0FeKiomDhQhUSQ0JUSLSt3guqt2bUKLWr9u0SXOLiVLUpIyODgwcPctddd+Hl5UW5curPIK6PBBfnkuDiXBJcRIn8W8HlRhQNPRZL8UpPYqIKLnq9miJsG+ZKS4OjR9U5VqsKO9nZ6veJiSoAWa2XXpdFp1OBwBZ2KlRQz1eqpIalDAa1K7a3N5jNGeTnH6Rx47uoWtULT09V1fHwuL5Q4Ay//ab6ZDp3vjB1+osv1BYJ9eqp0NKokQpiP/yg/pwPPljyJuqbEVyee05VgAwGK2azGaPRBYtFx7hx8MorjmeLkpLg4lwSXJxLgosokdIYXG6UpqlwYzarsBIfr4aicnLUcJbVqt7cT51S5584Aenp6vz4eFUdutzic3q9hpubBRcXAxUq6PD2Vs3I1aur4BIRoXp33NxURcdoVE3Jvr4qAHl5OTfgmM0qWPz0kwoRAweq5y0WFdw8PVVFyWJRYWbcOOjZU4WGkg6Z3Yzg8thj8NVXjs/CSy+pypC4PhJcnEuCi3NJcBElcicGl2uhaSrQmM0qsMTHX2igtfWRnDwJZ8+q5w8dMpOSkkthoRepqQY0TVVzHGcC6XQqNOj1aujJ11eFlpo1L2wUGRysgk2tWipEBASoh4vLtQWcpCRVwVi3Dj7+WC1QV/S1ttDy4otw990wd676/CX1wQeqz6ZoE7TZDEOGwIQJRc8sOWcHF01Ts7dOnCj+Z9c0aNFCVZzuBBJcnEuCi3NJcBElIsHFuWJj09i58x9q1bqHggIfNE0Fm4wMVbU5dkwFhePH1RBXdvaFWUE5ORfPDtLpVBOuXq/6bQICVE9K1aoq4NSurUJPRMSFAFSunHqdrYrD+UbpF15Q+zR9/DEMGqTOudHQwvk+o0stqufqemE6+7VydnCxWtXw1y+/OB6Bt96C//7X8dmySYKLc0lwcS4JLqJEJLg4l5pVtIOWLS8/C6ZoFSY7W1VELBY1xdxkUsNYhw+r506cUNWd3NwLw1SOa+2AqsIYjWrV46Ag9XHNmio4VK+uwkxengoDCQlqmnL37moIacIEuOcetX1BlSrFr/tvkeByc0hwcS4JLs4lwUWUiAQX53LmdGhNU2HDYlGBJilJfWybRXXqlKrWpKSoqo7FotZ3MZlU9caxCmIwqMpNYaGq2lSooBbAy86Gvn3VTtnu7heGpmy9OB4eamjKpqRDVDfirbdUU7GmFZKTk4OPjw+aZuDRR1Uz8bW6GcHFalUBMy3t4uGn6tXVOkO3GwkuziXBxbkkuIgSkeDiXM4MLiVlaxS2WlWvTUGBCiRpaaq6cvq0CiuHD6vzzpxRz9mqNgbDhR4c3fm1bIxG9cZr2ym7QgUVdmxVnNq11VBQuXJq+MrN7cLWDrrzG0zeiPx89TWlpKTyzz//0Lx5c7y9vXFxuXgKekncjOBSUKD6hVauLN7fo2mqWfmJJ4qefXuQ4OJcElycqywHlxJO0hTizmA0qoqIj49ab6ZePTUM9OCDqq/lww/V0NDvv6s32YcfLr7CcJ8+agjm+eehRw+19UCNGmrI6uxZ+OMPNaQ0dy6MH69WxO3ZE7p2hY4d1Y7UPXrAAw/Af/4D06apN+4VK2DjRjUNPTFR9fRYLOrhONTlyM1NNS97eWm4u1vw9NTw8rq+0HIz5eWpAJObe+FhMl1+/SAhxJ1JKi5OJBUX5/o3Ki4lZbWqHaDHj4emTeHtt1Wj7oYNMGMG9Oun3oStVjV8lJ6uhpxiYtQb9KFDqhJi2wYiO1tVbwoLVXXHsbHYNjQVHKyqNCEhqopj277B3V1VcHx9VYgKDFTP+fqqio3BoFbO3b1brZzr7X3999NqhalTYf364ntpWa0wcqSaAXWtCgrgvvtg9WrHI/Dpp/DUU47PlszRoxfv4A0qkN7o8JNUXJxLKi7OVZYrLhJcnEiCi3PdrsHFYlHNruPGqdDy2WeqDyMpCUaPvhBeBg68+A3TkW1FYpNJBZa8PNVEbLGoXpukJDh3TvXg5OaqXwsL1WrIjpUIvV59voAAtYBfYKDqrfH2Vov6Wa056HRHadKkNjVqeOLrqxqQbTOtSrpInqapr8ExXHG+YnU9+1ndrOAybpwKlI5f01dfqSrajZDg4lwSXJxLgosoEQkuznU7BpeioaVJExVaatS4cPzcOXj22WsLL1djsaiQUlCgmocLC1WoyctTU8IzMlS1Jj5eDSGdOXPhXFu/jaKhO78rdlCQDk9PtWKxj4/apiEsTE0Fr1BBVWoqVlTVHX//C1WbG/2zXM7NCi7PP3/pzSm/+QaGDnV89tqkpKgKVsuWN1bBEooEF+eS4CJKRIKLc91uwcVqVeu0jB9/6dBiYwsv69er8DJ4sOMZzmfrdzGZ1LBUXp6qzuTnq0bi3Fw4fLiAEycysVj8SUoykpWlQg8OWz/odKrPx8/v4qqNq6samvLxUdO9bYv5uburqkZJqzaOCgvh8cfVwn5FqyNWq5qyPWxY0bNL7mYEl+RkNeyXlpbG/v37adq0KV5eXvj6qnshro8EF+eS4CJKRIKLc91uwcVkUmuixMerdVouFVpsbOGlXDnV0Os4VPFvSEpKZefOXTRo0ALwsQ9DZWSoyo2t9yYzU1V0CgrUm7RtllVRRuOFNW4iIlTIqVlT9dfUqXMh2NjezPV6de7laJr6XCbTxdOhAwNVcLoeNyO4jB0L338Per2FwsJCXF1dsVr1PP+8CrXi+khwcS4JLqJEJLg41+0WXDi/8aTFoqoQV5OWpn69XX4KT01NYefOXZe9n5p2YVjK1kNz+rRqHD5yRFUZTpxQfTdnzqjKTlbWhWbiolUbo1EFjqAgNfRUvrxaobhqVRXmwsPVseBgFWhcXW/OMNTNCC4jRqj9pxxNnKialsX1keDiXBJcRIlIcHGu2zG4lGa2ZtLrvZ+aph5Wq6rS5OerPprkZDUzKjZWVW5se09lZqqQc6n9pXx9VVWmcmX1a+3aqmpTp44KNhERargqMFCFoOuduv3GG6onybHi9d57qqfmejg7uGiaWiMoO9vxyIW1fe4EElycS4KLKBEJLs4lwcW5bjS4XM2lgs2ZMyrcHD2qKjRHjqiqVXy8OsdW2SlarXF1VcHG319NWS5XTg072ao2wcGqkdjHR72pXynYZGaq/h5Hfn7Xv/eTs4OLxQJPPglLlhQPWBYLTJ6sdga/E0hwca6yHFyus5VOCCGKs81YsvW/hIVB8+Zw771qR+3XXoNvv4WlS2HTJtW8vGaNanh+/3315j1oENx1lwouCQnw99/w66+qT+ill9QU5t69oW1bta1Ct26qcfeFF9Q1fvhBzeg6dEi93mhUQSc0tPjjekPLzZKergLe2bMXHrYmYCFEcVJxcSKpuDiXVFyc62ZXXG6EreKiaapKkpOjhp+yslS1JiNDzY7KzFQbaBYUqGCSn69+X7Ri4+GhZjmVL68qMpUrq6pNuXJQrZqaAm7rv/HxUedfy2yoV16BhQtBpzNjMuXh6emBphkYNUo1ZF8ri0WtlLxokeMRtXLy9TT8Wq2qPykr6+LeobAw9ee/3UjFxbnKcsVFgosTSXBxLgkuznU7B5ersQUTs1m9GRcWquGm7GwVbDIzL8yIOn5cBR/bDuB5ecWvZQs2oaEqvNSseaG/pnx5NSzl7a1+7+5+8TCUbdPNlJRU9uzZS7Nm9+Dl5Y2Hh9pa4VrdjOBSUAAPPQRr1xZf3VjT4H//g0ceKXr27UGCi3OV5eByDT9nCCHEv8O22aSLi6oWhISotXTatVNT1F94Qe3/9N13EBWlhos2bIBVq9TU9fffVxs19u6tduz281MVia1bVfPuRx+pnbIHD4YOHdS+UZ06qaGpUaPUlg7ffANbtqiZVVYruLlp+PkVEBioERR0faHlZtE0FfBsfUS2h211ZiFKMwkuQogyw2BQTb1Fg81//gNjxsCcOfDzz6q3Zv16FWy+/x5mz1YrIY8YoXpnKlVSM6EOH1YNs3PnqsbbRx5RPTUdOqjHoEFevPdefV5+2Z25c1XD7tatsHev6k/JzLx4/ZvL8fJSD3//Cw8fH7XA3+3CFobS0i5+FBQ4ni3EzSNDRU4kQ0XOJUNFzlWah4puBU27sCN1YqIahjp+XPXSnDihwkhMzIVF+0wmNRRlo9OpoSV3d7V2jbe3GoZyd1fTvf391ceenmoYytdX/d7V9UI/iu3rsM3OCgtT516r/Hw13XvNGscjMGuWaoS+Vrm5auuF3buLDz/pdPDWW2pX8xshQ0XOVZaHiiS4OJEEF+eS4OJcElxuTEGBGmZJTlah5sCBbHbvjgFqkJ3tzokTajjGtiZLXp4KEEW5uak3/fLlL6xjExCgFuSrVEkFnooVVf+Nj48KP7ZhsmtxM4JLdraqOP31l+MRNUR3PbuCF3X8+DESExNp1UqCizOU5eAiQ0VCCFECtvVlqlVTU7a7d8+nR494XnutkJkz1bRtW3/NH3/Ab7+pvpg33oBnnlFv7E2bquZf2+yo339X57z9tqpmDBwI7durIa6OHdVrXnkFZs5UG1AeOHBhUT9bZeZSdDrVx+Pvr6aD2x5BQaoCdLuwWtVQU3IypKYaSE93ISlJ/RkdQ58QNlJxcSKpuDiXVFycSyouzmW7n61atcK7BJspFRaqqk12tqrM2FYczsxUM6PS0tTQVFaWWrgvI6P4UJSLiwojwcFqZeHKlVWjcViYClPh4apPxtdXBZeEBDUDyhZwbI8KFa5vNd6bUXHJyIBHH1UzwiyWAsxmMx4eHhiNOmbMUL1E4vpIxaWM0DSN3NxcEhISSEtLw2KxoF3iRxar1UpaWhpnz56lsOh3DiGEuE4uLipYhISoHbbbtVOzlkaOVLOe5s6FFSvU8M6mTbB4MXz9Nfz3v2phvubNVU/MmTPqnM8/hxdfhOHDoXNnVanp1k0FiMmTVWPxmTPqcwcHq01B69W7vtBys1gsqn/o6FGIjnbl1ClPDh/WcfjwpbdAEII7KbjExcXxzjvv0Lt3b9q0aUOnTp144oknOGP7n33e0aNHmThxIp06daJt27Y8+uijREVFYTabi50nhBDOZDCoYBIUpNaUufdeFUreekutOLxyJWzcqELLL7/Au++q4aWOHVXTb3Y2/POPOmYbnurRQ1Ut2raFPn3U9d58E778EtatU4228fGqMmOxXH7oycbWemIwXHgYjdfegyPEjbgjhopOnjzJqFGjWLNmDZUqVaJGjRqYTCbi4uL46aefaN68OQCJiYkMGjSIzZs307x5c8LDw1m1ahVubm58/fXX9O7d2/HSxchQkXPJUJFzyVCRc13rUNHNYLWq4aSsLDX0dPKkmvV09KjaF+rcOTh1Sg1NFd0+wLY9g4+PWhcnIkKtLFy3rmocrllT/Vq+vOqTcXVVoWbbtgu7nhfdEfzuu9VQ1bVKTVXBa9++4s8bjapnqFev4s+LkpOholJu7ty5rFmzhscee4x169axfPlyVq9ezbJly6hZs6b9vEWLFrF582YGDx7Mb7/9xvfff8/bb79NVlYWn3zyCbmX2q1NCCH+JXq9mqkUHHyhSvPII6ri8v33aujpjz/UQnxLlsD06WroqW9faNVK9cOkpqpKzi+/qE0iR4+Gnj3V8FO7dmrRvoEDVZPwjh1qyKtCBWjWDLp2hfvvVzOhhLhVynzFJTo6mu7du6PX61m9ejVVqlRxPAUAk8lEv3792LhxI8uWLaNTp04AZGdn06tXL/bt28e6deto3Lix40vtpOLiXFJxcS6puDjX7VBxuR6aprZOyM9X1ZOkJNXIGx2t1q85fFhVcGJiLqy8W3QhPZ1OTdP291eBpXx5tU5NSIhqFi5fXk3nDghQM5iuNJSUnq56cg4cAKu1EIvFgpubG0ajjrlz1erF4vqU5YpLmQ8uv/32G/369WPo0KH07duXXbt2oWkaISEhDBgwgIrnf1RISUmhQ4cOFBQUsGHDBsLCwuzXGDt2LB999BFLliy54nCRBBfnkuDiXBJcnKu0Bpcr0TTV62KxXNgiIC5ODTfFxakhqKQkFWpyc9XvzeYLQ0Y6nRp+8vNTw0/BwSrUhIZC9epqBlS5cmp4yt1dVYxSUzXMZh0nTpzk3Lkk7r77bvR6A0FBt98u3qWJBJdSbNq0abz00kuUL18ek8mEn58f+fn5pKSk0KpVKz777DPq1KnD/v37iYyMpFatWqxZswYvLy/7NaZMmcLkyZOZNm0a4x12PPv111/ZvHkzBoMBk8nEjz/+yJgxY+jbt6809N6gvLw8EhMTCQsLw9VxpztxzUwmE2fPnpX76SRl/X7aFr6z7Zytaaqfxlapyc1VK/6qSo2OuDgfMjJcOXfOk5wcIzk5Lue7EWzlFh2+vmp4qlKlC6EmODiP0FATOl0cOl0a9eqVw8UFjEZLsUqNrafmag3EAgwGA3PnzmXXrl0SXEqjqVOnMmnSJAwGA2PGjGH06NHk5OQwdepUFixYwGOPPcbcuXPZsWMHkZGRNGrU6LLBZerUqUycOLHY9WfPns3vv/+OwWCgsLCQLVu2MGbMGHr27InFYil2rrg2BQUFZGRkEBAQgNFodDwsrpHcT+e6k++nLdTYHqpSo6Ow0EBOjpHMTDcyMtxISPAiPd2NuDgfkpP1nD6tKjmZmapSo2iAFQ8PC56eZoKDc3F3NxMeno2/fx4VKuTg56fCjm3WldF4YSE92+cv+rjTGQwGvv76a/bv3y/BpTR67733mDBhAs2bN2fZsmUEBQUBsG/fPrp3705AQAAbN24kOTmZ9u3bU6NGjcsGl/fee4+xY8cWubpa80XTNHQ6HSkpKXTp0sU+VHSpNWJEydju565du2jRogW+vr5yP2+A3E/n0ul0JCcns3v3bvvQm9xPG61IpURD03T/396dh0dV3X0A/96ZSWYy2fd9IysJGJOwrxFBEKQssosIiguopS7Vqiggj1BKQXhd+kChFBH6AgpFSAAtO5VAiFASIhCCCdkn+0KSySy/94+bmXJnQEHmFTP5fZ7nPJR7z1ymx8nNd849C4gEtLUJaGwEKivFGVD5+eL/vnxZ/POHH9pRXS2gvd0Ber1pXI3Ypo6O4iMoDw9xYLCvLxAZKRY/P3FGk5eXWJydxfo3Z8mu9p9GEAS7flRk97OKunfvDgDw8/ODu7u7+XhkZCTCwsJQVlaGsrIyBAYGwt/fHxqNBnWm+X4damtrIQiC+Vo3k8lkkMvlkMlkkJn6VDsIgsDlZxZT+1n+yeXnFcvPJbfnvRXLduT2vLnIOn61yADIIQgyyGQC1GpxrEtSkjhj6YUXgPfeE9eo2bsX2LatFGvWXMCBA0Zs2CAuyvf88wImTxbwwAMC3N0FVFQIOH1awO7dAlavFvDyywKmThUwcqSAwYMFjBgh4NFHBTz7rIDXXhPwl7+IdXNyBNTWCmhvFwBYvl/7K/bO7oNLWFgYvLy8UFtbK5nOXF1djcrKSvj5+cHPzw9OTk6IiIhAcXExLl68KKl37NgxeHt7IzQ01HycMcbYvRE6xtCo1YCPjx5xcS0YPJgwezbwyiviHk3/+Ie4T9OxY8ChQ0BGBvDJJ+LCfLNmiVO7IyPFR0f5+cCpU8DmzcCHHwIvviiuOvzQQ2JYevxxcTr4li3imjRFReJYna7WI9PZ2X1wiYuLw8MPP4ysrCx89tlnaGhoQE1NDT799FMUFRUhNTUVXl5ecHR0xIQJE2AwGPDxxx+jsLAQDQ0NWL9+PXJzc/Hwww8jNjbW8vKMMcZsQrCadm0KNqap1336iAFk3jzgzTeBTZuA7duBI0fEcvgwsHMn8PHHwNtvA088Ia5X4+EhhpqMDGDlSnGtm+HDgbQ0cUXh+fOBVavE1YkvXhTH4fDcil8vux/jAgDnzp3D7NmzceXKFcTGxsJgMCA/Px+xsbHYvHkzUlJSAAANDQ144YUXsHPnTkRERMDFxQWXL19GeHg4Pv/8c/Tq1cvy0hI8Hdq2eDq0bfF0aNuyx+nQ99PVq1dRXl6OAQMGQG7aW+AeEYlbIdTXi70r4p5IYji5ckXc7qCl5b8hxTSWJiREnPEUEQH06CGuT+PvL46tcXISA9WvnT2PcekSwQUAcnNzsXPnTpw6dQoKhQLJycmYNWsW4uLiJPU0Gg22bNmCU6dOQaPRoFevXpg1axaSkpJ+8tkhBxfb4uBiWxxcbIuDi239fwSX22lvF6d0l5eLa9Lk5oqB5soV8e/19UBrq1hXEMRHWb6+4i7cUVFiqImMFGc6+fqK69a4uPx3L6dfAw4udqS1tRUymQxKpdLylIRer4dWq4Varf7JwGLCwcW2OLjYFgcX2+LgYlu/ZHC5FaNR3M+pokIs338P5OWJ+z/l54shp7lZXJwPHfspKZXirCYvL3H3bdMqwkFBYq+Nv7+4bs39CDX2HFzsfoyLJScnp58MLQCgUCjg7Ox8x6GFMcZY52XadDImRtyj6bnngDVrgB07xLEzR4+K42kWLxbPDRki9r40NgIXLojnPvpI3JV7yhRxQPBDD4ljaWbOFAcbf/IJ8NVXQFYWUFIi9uzcvFkluzNdrsfl/xP3uNgW97jYFve42Bb3uNjW/e5xuRtE4qOk1lZxDZqiIvHPS5fEP69eFdeq0WjEXhqd7r+vNfXU+PuLPTXduok9NJGR4pia0FBxrRpnZ7Gg43HV3bLnHhcOLjbEwcW2OLjYFgcX2+LgYludKbj8GIMBaGsTN6isqxNDjUYjhpqKCuDaNTHc1NRYriAshhpnZzHUBASIQSY+Xvx7VJQ4nsbPTxxTY2qi24UaDi7sjnBwsS0OLrbFwcW2OLjYlr0Elx+j1/93YHBDgzh+RqP57wynwkJxLE1VlXjeRBAABwdxx20/P7GXJjBQfKwVFydugxASIo6lcXUVH3txcGF3hIOLbXFwsS0OLrbFwcW2ukJw+TF6vfhIqbZWDDNFRUBxsViuXhX/LC0Ve2luWksVcrk4RdvUGxMeDiQmAqdOrUBr637s329/waXLDc5ljDHGfm0UCjGABAcDycniisAvvwysWAH87/+KqwefOAEcPAhs3Spul/Dss+IgYT8/MdBkZYmDiRctEhfTs9iFxm7Y6f8txhhjrPMTBHFhPE9PcZzLwIHA9Oni7KZPPwX27RNnPB09Ks5YWr9e3NYgMdG0UaX94eDCGGOMdUKmx0QhIWJQGT0amDtX3Mdpxgz7nWbNwYUxxhizM/b6mAgcXBhjjDHWmXBwYYwxxlinwcGFMcYYY50GBxfGGGOMdRocXBhjjDHWaXBwYYwxxlinwcGFMcYYY50GBxfGGGOMdRocXBhjjDHWaXBwYYwxxlinwcGFMcYYY50GBxfGGGOMdRocXBhjjDHWaXBwYYwxxlinwcGFMcYYY50GBxfGGGOMdRocXBhjjDHWaXBwYYwxxlinwcGFMcYYY50GBxfGGGOMdRocXBhjjDHWaXS54GIwGPDDDz8gLy8PtbW1lqdBRKivr8fZs2dx5MgRFBYWQq/XW1ZjjDHG2H3Q5YLLsWPHMGLECAwZMgT//Oc/LU/j8OHDGDNmDB5++GGMGTMGQ4YMwYcffgitVmtZlTHGGGO/sC4VXOrr67F69Wpcu3YNtbW1aG1tlZzPycnBvHnzkJubi9mzZ+Pdd9+Fi4sL3nvvPWzevFlSlzHGGGO/vC4TXIgIf/3rX3Hq1ClMmDABgiBYVsHu3btx9epV/OEPf8CaNWvw1ltv4a9//StcXFywfv16VFVVWb6EMcYYY7+gLhNcTp8+jTVr1mD06NF47LHHQESS842NjcjIyIC7uztGjRplDjapqano378/Ll68iEuXLklewxhjjLFfVpcILvX19Vi6dClUKhXefvttuLq6WlbBjRs3UFtbi8jISERERJiPq1QqJCcnQ6vV4vr165LXMNaZ3KqXkTHGOhvBaDRKux7sDBFh1apVWLx4MVatWoXnn38e27dvx/Tp0/HRRx/hxRdfBABkZ2cjLS0NPXv2xDfffANnZ2fzNd5//30sXrwYS5cuxTvvvHPT1YFNmzbh4MGDUCgU0Gq1OHToELp3745u3brBaDRK6rI7JwgC2tvbUV9fD09PTzg4OFj1krE7x+1pW4IgQKvVoqGhAV5eXlAoFNye90AQBDQ3N6OtrQ1eXl4csu+RTCbDhQsX4O3tjYyMDKhUKssqnZrdB5fTp09j4sSJ6NWrF7Zu3QoXF5dbBpesrCykpaUhKSnproLLP/7xDxw5cgRyuRxtbW3Yu3cvkpKSEB8fz8HlHgiCgIqKChw6dAiPPvoovLy8+BfDPRAEAeXl5Th8+DBGjx4NT09Pbs97IAgCysrKcOTIEW5PG5DJZDh37hwKCwsxZswYKBQKyyrsLshkMmRlZcHZ2Rn79+/n4NKZGI1GzJ07F59//jmWLVuGgQMHQhAEfP3111i8eDFeeeUVTJs2DYmJiaipqcHgwYMRGBiIb775Bi4uLubrLFmyBEuWLMH69esxd+5cyb9xs5qaGgwbNgyvv/46nnzyScvT7C6dOnUKTzzxBPbt24eEhATL0+wu/fvf/8asWbOwb98+dO/e3fI0u0snTpzA7NmzkZGRgbi4OMvT7C6tXLkSe/fuxcGDB+Hk5GR5mt2lFStWYP/+/Thw4IDdBRe7HuNiMBhQVVUFvV6PhQsXIi0tDUOHDsXSpUsBAGvXrsWYMWNw+fJleHh4wMvLC6WlpaioqDBfw2g0oqCgAAqFAt26dbvp6owxxhj7pdl1cJHJZJg4cSJeffVV/Pa3v8WCBQvwyiuvYPTo0QCAhx56CPPnz4evry9cXV3Rq1cvlJSU4MiRI+ZrFBQUIDMzExEREYiJibnp6tZkMhl8fX3524KNODo6ws/Pj7uNbcTR0RG+vr7cnjbCn0/bcnFxgbe3N49vsRF7bk+7flR0O7ca4wIAGRkZmDZtGry9vbFy5UrExsbi/fffx65duzBv3jx89NFHkMlun/UMBgNKS0vh6el5y5lL7O60tbWhsrISgYGBcHR0tDzN7lJrays0Gg23p41we9pWXV0dbty4gaCgoB+9z7I7U1dXh5aWFgQGBtpde3bJ4LJz507MmDED//M//4N58+aZj7e3t2P58uVYs2YNtFotVCoVmpubMWrUKKxevRrR0dGS6zDGGGPsl9Ulg0tZWRnOnTuHxMREyZotAKDT6ZCZmYnjx4+jvb0diYmJGDFiBDw9PSX1GGOMMfbL65LB5f+L0WiETqeDXC7n5963odfrYTAY7qiNDAYD9Ho9FAoF5HK55WkzIoJerwcRwcHBwS6f6drC3bSnTqeDIAhwcHCwPG33bv7/r1Aobvt5utP2NBqN0Ov1XbI977Qt7+Zn2NSeMpnsJ+8hXYGpjQH8ZNuZ7r8ODg4/+vjoTv+73S8cXGzAaDTizJkz2LFjB3JycuDn54cJEyZg7NixUCqVltW7HIPBgPz8fBw7dgzffvstiouLERoaiqFDh2Ls2LHw9fW1qn/06FFs374dBQUFiImJwbhx4zB8+HCrG39ZWRl2796Nr7/+Gnq9HsOGDcOMGTMQGBgoqWfPdDodtm/fjpycHDz44IOYNm2a5EbT1taGo0ePYteuXSgoKEBCQgImTZqEAQMGWLVnfn4+duzYgdOnT0OlUmHgwIGYOnUqAgICJPXskU6nw+nTp5Geno5z587B1dUVPXv2xLRp0xAbG2uu19bWhvT0dKSnp6OoqAiJiYmYPn06+vXrZ3WDv3LlCrZu3YpTp07B09MTY8eOxZgxY+y+B7e9vR0HDhzA8ePHkZubCxcXFwwYMADjx4+3mp3Z3NyMXbt2Ye/evWhoaMDAgQMxZcoUxMfHS9rTaDQiLy8PO3bsQGZmJry8vDBu3DiMGzcOarVacs3Oqq2tDcXFxSgoKEBubi5qamoQGxuLJ5988pYhrbCwENu2bcOpU6cAAMOHD8eMGTOs7qlarRYHDx7El19+idLSUiQnJ2Py5MlITU21Ct35+fnYtm0bTp8+DQcHB4waNQrTpk37dX1mjUYjcbm3snPnTgoMDCSVSkUpKSnk6+tLTk5OtGzZMtJqtVb1u1qpqKiglJQUAkCenp4UGRlJHh4eJJPJ6NFHH6WSkhJzXYPBQFu2bCFvb29yc3Oj1NRUcnNzIzc3N1q1ahXp9Xpz3fz8fBo8eDDJZDIKCwujbt26kUwmo7Fjx0quae8lPT2dPD09CQBNnjxZ0kZ6vZ4++OADcnJyIjc3N0pISCBnZ2dyc3OjdevWSa6Tm5tLffv2JQAUFxdH4eHhBIAmTJhAVVVVVv+uPRWtVksffvgheXh4kKOjI4WGhlJ4eDgplUpas2aNpN4777xDTk5O5O3tTSkpKaRWqykkJIT27dsnuWZ2djb17NmTFAoFxcbGUkBAAMnlcpo5cyY1NDRYvQd7KTqdjtasWUMuLi6kVqvNnyW5XE49e/akM2fOmOveuHGDXn/9dXJwcKCgoCBKSkoiBwcH6tatG33zzTeS6+7bt4/CwsLIwcGB4uLiyN/fn5RKJS1cuJBaW1ut3kdnLGfOnKGwsDCSyWQEgADQiBEjqK2tzaruxYsXqU+fPiSXy6l79+4UFRVFMpmMJk+eTJWVleZ6Op2OPvjgA1Kr1eTl5UXdu3cnlUpFvr6+tHnzZsk1s7OzKSkpieRyOSUmJlJERATJ5XKaM2fOr+oewMHlHktlZSX17t2bHB0d6aOPPqKGhgb697//TXFxceTm5kbHjx+3ek1XKxUVFTRr1ixavXo1nT9/nsrLy+nMmTM0bNgwAkDLly831y0oKKCoqCjy8fGhXbt2UWNjI+3fv59CQ0MpODiYcnNzzXUXLVpk/sWan59P169fpzlz5hAAWrRokdX7sMdSUlJC/fv3p9DQUFKpVDRp0iRJcDl37hwFBARQcHAw7dmzh2pra+mzzz4jDw8PeuCBB6i4uJiMHYFx/vz5BIBeffVVKi0tpfz8fJoyZQoJgkB/+ctfrP5teyp79uwhFxcX6t69O+3evZuKi4uptLSU9u3bR2fPnjXXO3HiBLm7u1NCQgKdPHmSGhoaaOPGjaRWq2nQoEFUV1dHRqOR2tvbaebMmSSTyejdd9+lyspKys7Opr59+5JCoaCtW7davQd7KdeuXaPw8HDy9fWl3bt3k0ajoaKiIvPP5vz58811d+/eTY6OjtSnTx86f/481dbW0qpVq0gul9PIkSOpsbGRjEYjNTc30yOPPEIymYwWLVpEGo2GsrKyKCkpiZycnOjAgQNW76MzlkuXLtGMGTPorbfeotdee41kMtktg4ter6eXXnqJANDTTz9NZWVlVFhYSI8//jgBoD/96U/mumfPniUfHx+KjY2lw4cPU01NDa1du5acnJwoOTnZHHLa29vpqaeeIgD09ttvk0ajofz8fBo1ahTJZDLJNe934eByjyU9PZ0UCgU99thjdOPGDfPx5cuXEwBauHCh1Wu6WtHpdNTc3EwGg0FyPCMjgxQKhaSX4O9//7v5h/HmX8ALFy4kALR27VoyGo2k0WgoOTmZfHx86Ny5c+Z6eXl5FBAQQH379qXa2lqr92JPRafT0RtvvEHu7u60YsUK8vf3p8cff1zSbqtWrSIA9MYbb0heN3v2bAJAW7ZsIaPRSEVFRRQZGUlRUVFUWFhornvy5ElycnKi0aNH2823WsvS3NxMY8aMIbVabdVrYlksP4dGo5FaWlpo7Nix5ODgQOnp6WQ0GunChQsUEBBAKSkpkm+qe/bsIYVCQU888QTpdDqr69tDOXLkCDk4ONCIESMkn5nMzExydnamJ554gowdYfm5554jALRx40ZzvZqaGurfvz+5urpSZmYmGTsCo4uLCw0dOpTq6+vNdT/++GMCQAsWLLB6H52xGAwG88/voUOHSC6X3zK4FBcXU3R0NIWEhND3339vPn7s2DFSq9WUlpZmDn2mL3h//vOfzfXa2tpoypQpJJPJ6IsvviBjRw92cHAwxcTESO4B6enppFQqqXfv3lbv936V24/OYXfk+++/N4+tuHnhub59+8LBwQFnzpyBVquVvKarkcvlUKvVVs//tVotjEaj5FxWVhYAoF+/fpLBY3369IEgCMjLywMAVFdXo7i4GPHx8YiKijLXCwkJQVRUFC5duoTi4mLzcXv0zTffYP369XjyySfx2GOP3XJvrIsXL0KhUGD48OHmY3K5HCNGjAA6Pr/oGItRXFyMxMREBAUFmetGR0cjPDwcOTk5KC8vNx+3J0VFRThz5gySk5MRGBiInTt34vPPP0dGRgbq6+vN9XQ6HXJzc+Hk5ITevXubj6tUKvTp0wc6nQ7Z2dlAx8KVFRUV6NOnD7y9vc11k5KSEBwcjJycHDQ0NJiP25PQ0FAEBQWhrKxMsgp5dnY2Wlpa4O/vDwBobGxEdnY23N3dkZqaaq7n6emJIUOGoKmpCfn5+UDHWI7m5mb07dsXbm5u5rr9+vWDu7s7srKycOPGDfPxzkoQhB8dNGtSXFyMsrIypKamSsYMxcfHIyIiAnl5eSgvLwcR4dy5c1AoFEhKSjLXc3R0RP/+/c0rwwPADz/8AI1Gg379+iEkJMRct0ePHggKCsLZs2fNx+63n24h9qNM/9Hd3d0lxyMiIuDv74/q6mq0tLRIzjGgoaEBf/vb32A0GjFkyBBzcNHpdFAqlVZ76bi5uUGhUKCgoAAGgwGFhYWoqamBj4+PJDC6uLggNjYWLS0tqK6ullzDnpSVleH999+Hv78/XnvtNSiVSqtN/m7cuIH8/Hw4OTlZDdbz9/eHXC7HpUuXAAAtLS3Q6/UICAiQDAJ0dXVFcHAw6uvr0djYeNMV7EdZWRkaGhpw9epVjB8/HnPmzMG8efMwceJEzJw50/zLs6WlBYWFhVAqlZK9zNBxc0fHrA10/KIFIAnV6Pgce3h4oKSkRPJL3Z5ERERg3rx5KCsrw4wZM/DSSy/hmWeewZIlS9C/f38899xzAMSZK+3t7QgNDUVwcLDkGqb7qen+avqcmkKPSVhYGIKDg1FTU4Pm5mbJOXt2/fp1tLS0wMXFRfLz6uHhgdjYWDQ3N6OmpgZarRZ1dXXw9vZGZGSk5BqmAfemLy9FRUXQ6XRwd3eXhCcfHx9069bN6v5yP3FwuUdEBEdHR6uR8iqVCiqVCmVlZairq5Oc6+ra2tqwevVqpKenY8KECRg/frzkvEKhsJolEBwcDG9vbxARBEGAwWC47Q+Sg4MDdDodioqKLE/ZjXXr1uH8+fN4/fXXER4efsu2MBgMP/kttLm5WdJTY/mL1snJCREREbe8vj0RBAGVlZWIjo7GF198gf3792PSpEnIyMjAe++9h/b2dqDj5z0gIAB+fn6S1zs7O0tmZ2g0Gsl5SwaDAQaDwfKwXZDJZOYNazMzM7Fp0yZs3boVdXV16NGjhyR8EBGUSqXVysOmxT5NnztTILRkWlahsrLSrr+o3CmFQgFnZ2e0tLSgpKQETU1NKCkp+dEp+6a2NbW15dY2Dg4OVvfj+42Dyz0SBAHt7e0oKyuTHDcajTAYDAgICICHh4fkXFfW1taGFStW4I9//CNSUlKwdOlSq2l2RGR1U6+urkZjY6PV46ZbMYUbLy8vy1N24fTp01i/fj0mTpyI6dOnW56WuN3NykQul0vatKqqSnJep9Ohurr6jtq9MyMiuLq6YsmSJRg1ahQGDRqEDz74AN26dcORI0dw7do1yGQyCIKA2tpaqy8jlkG6K+9Xdu3aNbzwwguorKzE2rVrceLECezbtw+PPfYYNmzYgGXLlknCstFotHrMWVJSAnTcX38KEcHNzc2qF6wrMt07FQoFPD09oVQq4enpeVdfPExtb3Kr+/H9xsHlHpm+eVl2oxcXF6OyshJeXl5wdnaWnOuqTKFl2bJlSEpKwsaNG5GQkCCpIwgCWlpacPXqVcnx5uZmaLVa+Pr6QiaTISgoCG5ubuZHHCZtbW0oKiqCs7MzwsLCJNewFydPnkRlZSVKS0vx0ksvYc6cOXjjjTfQ1NSErKwszJ49G//617/g5uaGmJgY6PV6q8eVLS0tMBqN6N69OwRBMAeca9euSW5Szc3N+OGHH6BSqay+FdsLuVwOIkJcXBwSExPNx0NCQtCnTx80NjaioaEBSqUSPj4+aG1ttWrPS5cuSX75mh51WgZBrVaLtrY2+Pn5wcfHR3LOXvzrX/9CTk4OJk+ejBdffBEpKSkYPnw4/vjHPyIkJAR79uyBRqMxj+coLS1FZWWl5Bqm8T+mR5ymFc4texCrqqqg0WgQEBAgGUtk77y9veHg4GBetM+ksbER+fn5cHNzQ3BwMFxdXRESEoK6ujqrL9emtjQ9LTB9Hm8e14WOPY9Mjz5/LTi43CPTje7s2bOSG1dubi5aWloQGxtrtzf8u2EKLcuXL8eDDz6IjRs3omfPnpbVzAt9/ec//5Ecz87OhsFgMLe36cZ/6dIlyaDRyspKXL16FcHBwVbd+fbCz88PqampaG5uxn/+8x9cuHABly9fhsFgQGNjI3JyclBTUwN03JRaW1vx7bffSq5x4sQJEBHCw8OBjnYPCQlBYWGh5MZVUlKC4uJixMbGWo1DsBdRUVEIDw9HbW2tZJyEVqtFVVUVZDIZZDIZHB0dkZCQgKamJsnn02g0mv9u6mYPCAiAs7MzsrKyJCGnoKAA169fR3R0tN32CJp6o3x9fSU9Jj4+PvD29kZ1dTWqq6vh4uKC6Oho1NTU4PLly+Z6Wq0W3333HRwdHc0BMDw8HHK5HNnZ2eZVYgHg/PnzqKysRExMTJfq5YqMjISfnx8uXrwoCcfFxcUoKipCaGgofHx8IAgCgoOD0draiosXL0quYRpIbgqFMTEx8PLywoULFyQ9iteuXUNpaanVGJn7iYPLPUpJSUFkZCS++uorfP3110DH8+3t27dDLpfjkUceuaPuTnum1+uxcuVKLFu2DBEREeZvXtXV1aiqqkJjY6P5W0NaWhq8vLywZ88e5ObmAh3fZrds2QJXV1cMHjwYABAYGIiRI0fi+vXr+Nvf/gatVguDwYDPP/8c165dQ1pamt2unjt16lQcPnwYhw8fxtGjR3H8+HFs27YN7u7uGDp0KI4ePYoJEyYAgHm22/bt2829WOfOncPu3bsRGBiIYcOGAR03rwEDBiAnJwf79u2DwWCAVqvFrl27UFdXh+HDh9vtjufBwcEYNmwYCgsLsW/fPvO32GPHjiE7OxsxMTHmgJeWlgYHBwds3LjR3KWemZmJr7/+GvHx8Rg6dCgAIDk5GQMGDMCZM2eQkZEBdHyTXbduHVpbW/HII4/Y7araPXr0gEKhwKFDh8zf1IkIBw8exMWLFxEVFYWQkBDI5XKMHDkSBoMBW7duRW1tLQBg165dOHz4MBITE81fVHr16oUHH3wQR48exd69e4GOgLRt2zYAwMiRI3/ysWhnYDQaUVdXh7q6OnOvk+lxbXV1tXmsVUhICPr164fc3Fxs3LgROp3OvIJ2dXU1Hn74YXMPyvjx46FUKvH3v//d/Jk9duwYvvrqK0RERGDIkCFAxz2gV69eOHv2LHbs2AEiwo0bN7Bt2zY0NDRgxowZ5vd531nOj+Zyd8VgMNDSpUtJLpdTUFAQzZkzhwYNGkQymYymTZtmXpCqK5eysjKKjY0ldKycGx8fT7GxsRQbG0vdunWjBQsWmNcu0Gq19Oabb5JCoaDo6GiaM2cO9ezZkwDQM888Qy0tLebrHjt2jAIDA0mpVNK4ceNoypQp5OzsTHFxcZSVlWX1Puy55Ofnk4+Pj9U6Ls3NzfTUU0+RIAiUlJREc+fOpdjYWJLJZPTmm29K6qanp5O/vz+5ubnRk08+SePHjyelUkmJiYl06dIlq3/TnkpmZiaFhYWRi4sLjRs3jqZPn05+fn7k6upKGzZsMNerr6+n8ePHkyAI1Lt3b5o9ezaFhoaSUqmklStXStYq+vLLL8nDw4N8fX1p1qxZNGzYMPPrbl4nw95KTU0NjR49mgBQQkICzZkzhyZNmkR+fn7k4OAgWcywrKyMRo4cSTKZjAYOHEgzZ84kb29vUqlUVosefvjhh+Tg4EB+fn701FNP0UMPPUQymYx+85vfkEajsXofnbGY2s60RgsAUqvVFB0dTYmJiXTy5Elz3QMHDphXaZ84cSJNnDiRVCoV9ezZky5cuGCu19TURM888wzJZDLq27cvPf300xQWFkaCINBbb70luQd8+eWX5O7uTl5eXjRt2jQaPnw4KRQK6tu376/qHiBftGjRYssww+6cIAhITU1FeHg4ysvLkZmZCUEQMHPmTCxZssRun2Pfjfb2dpw/fx7u7u7w8/ODSqWCWq2GWq2Gk5MTEhISkJaWZh5r0a9fP6jVahQWFiI7Oxu+vr548cUX8fvf/14y7Tw0NBS9e/dGS0sLvvvuOxQXF2PQoEFYsWIF+vTpI3kP9q61tRUXLlxAjx49zG2JjhkBAwcOhKurK/Lz83H27FkEBQXh1VdfxUsvvSTpXo+OjkZCQgLq6+tx8uRJNDU14Te/+Q2WL18uGfthj4KCgtCnTx/cuHED3333HQoLC5GQkIClS5di6tSp5umhSqUSAwcOhLOzM65cuYLvvvsO4eHheO211/D8889L9n6Kjo5GfHw8ysrKkJmZCZ1Oh4kTJ2LJkiWIi4u76V+3L05OTujbty8cHR1RXl6OrKwsNDQ0ICUlBW+//TYmT55sfnzu4uKCQYMGobW1FXl5ebhy5QqSk5Px7rvvYvr06ZKpvklJSYiKioJGo0FmZib0ej2mTJmCZcuW2c1eWlqtFkeOHIFWq4WnpyciIiIQGBgItVoNV1dXjBo1yvzINjIyEsnJyWhubkZ2djbKy8vx0EMP4U9/+hMefPBB8zUdHR0xcOBAyOVy5OXl4fz584iKisLrr7+O+fPnQ6VSmevGxMTggQceQG1tLc6cOYPGxkaMGjUKK1assFqi4n7iTRZthIjQ2tqKyspKuLq6wtPT0y66Lm2BiMyLzd2KXC6Ho6Oj5JGa0WhEU1MTqqur4efnB2dn59suzKTT6VBVVQWDwQB/f/8uOabIaDRCq9Wax2JYPp40Go1obGxETU3NT7anVqtFeXk51Go1vLy8brm5m70ydcvrdDr4+vpCpVJZtSVu0Z4uLi63rEdEaGtrQ2VlZZdrT4PBgJaWFsk98Xa7F+v1etTU1KC1tRUBAQFQKpW3rGfv7flj90pBEODo6Gj1e6W9vd08/d7Pz++29z+DwYCGhgbU19fD39//louCouM9mK4pl8vh6+trtRnr/cbBhTHGGGOdxq2/cjHGGGOM/QpxcGGMMcZYp8HBhTHGGGOdBgcXxhhjjHUaPDiXMXbfmWZTmBYilMvlt52B8mN0Op15C4jbzbBijHVuHFwYY/fMYDDg22+/RUVFxY8GBSJCTEyMZJ0JAKioqMCCBQtQXl4OnU6HESNGYPHixZDJZCgsLMTZs2eRmpoqWXaciHD+/HlcuXIF3t7eSEtLw6ZNm7Bp0yYoFApERkZi7dq1vMkpY3aGHxUxxu5ZU1MTfv/732Pq1KmYMmUKpkyZgqlTp0r+bjr22WefWb4cWq0W3377LfLz8+Hv7y9ZaPD48eOYMmUKjhw5InnNoUOH8Pjjj2PevHkoKSmBQqGAi4sLfH19kZeXh9OnT5uXSGeM2Q/ucWGM3bPGxkZ88cUXaGpqgiAIaGtrw6effoqamhq8/PLLCAwMhNFoBBFh0KBB6NWrl+T1RUVF6N+/P3r16oUvv/zSvKiYIAjYvHkz5syZgw0bNuDpp5+GXq/Hli1bsHjxYjQ2NmLVqlWYPXs2ZDKZeSHIRx99FOXl5Th58qTdbrbJWFfFPS6MsXvm5uaGp59+GgsWLMBvf/tbTJo0CXq9HhEREXj11Vfx8ssvY8GCBfjd735nFVpuJgiCpNzKunXrsGDBAjQ1NeHPf/6zObTgptczxuwXBxfGmM0VFBRAo9EgLi7OZmNM9Ho91q1bhz/84Q8IDAzExo0bJaGFMdY18E88Y8zmLl26BL1ej549e9psL5lt27bhrbfeQkhICDZs2IAJEyZY7dvCGLN/HFwYYzaXn58PAAgPD7c89bMdP34cjY2NmDdvHgYPHmx5mjHWRXBwYYzZVFtbGy5fvgwnJyfEx8dbnv7Zhg4dCnd3d3zyySc4duyY5WnGWBfBwYUxZlNVVVW4evUqgoKCEBYWZnn6Z5sxYwZWrFiB8vJyPPvssxxeGOuiOLgwxmzq+vXrqKioQGxsLLy9vS1P/2xyuRxz587FihUrUFFRweGFsS6KgwtjzKYuX76M1tZWJCQkQKlUWp6+Z88995wkvBw/ftyyCmPMjnFwYYzZVE5ODgAgISHB8pRNyOVySXh55plncPToUctqjDE7xcGFMWYz7e3t0Gg0iIiIQGJiouXpn0WtViMwMBBqtdp87ObwotVqsWTJEly8eFHyOsaYfeIl/xljNmM0GlFRUQGtVovAwECoVCrLKrdUVFSEgQMHIjQ0FAsXLkRISAgeeOABCIKApqYmVFVVwdfXF66urpLX6XQ6lJeXo729HT4+PqiurkZeXh7eeecdtLe348SJE7zkP2N2hoMLY+y+KyoqwpAhQ1BcXAyZTIapU6diy5Ytd70q7pIlS7B06VIYjUbEx8fj6NGjHFwYszMcXBhjjDHWadzd1xnGGGOMsfuIgwtjjDHGOg0OLowxxhjrNDi4MMYYY6zT4ODCGGOMsU6DgwtjjDHGOg0OLowxxhjrNP4PxhjW8shaSP4AAAAASUVORK5CYII=" + } + }, + "cell_type": "markdown", + "id": "8e5c91b7", + "metadata": {}, + "source": [ + "Constants from the reference paper:\n", + "\n", + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "74ead283", + "metadata": {}, + "outputs": [], + "source": [ + "tensor_dict_s_0d005" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ad10c7c8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['C11', 'relaxed_dict_C11', 'strained_dict_C11', 'C12', 'relaxed_dict_C12', 'strained_dict_C12', 'C44', 'relaxed_dict_C44', 'strained_dict_C44'])" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tensor_dict_s_0d005[200].keys()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6a24ad86", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.061675995882257896" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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wYYKYNm2augv++OOPxXnnnSfq6+uFzWYTjY2N4vjjjxcPPPCAep1RtdH27dvFOeecI6qrq0V5eblYtGiR+PTTT8XEiRNV5GXnzp2ivr5eHH/88VHN0M444wxRVVUlNm/erB5/8MEHxWGHHSZKS0uFy+USU6dOFZdeeqlYuXJlxGuXLFkixo8fL+x2uzjggAPE3//+96Sa1L3wwgvilFNOEWPHjhV2u13U19eLU089Vbz99tsRyz3++ONixowZwmazCQDijjvuEELEjrwIIYTX6xX33HOPOPDAA4XT6RRlZWVixowZ4lvf+pbYuHGjECJYVXXWWWeJiRMnCofDIWpra8X8+fPF888/r97nT3/6kzjuuONEQ0ODsNvtorm5WZx33nnik08+ifvdUsXv94vf//73Yt68eaKqqkpUVFSIgw46SPz6178WHo8navnHHntMHHDAAcJut4vGxkZx4403it7e3qjlent7xY033igaGxvV7/P4449HLaePvEi6urrEoYceKqxWa8JIHCH5xCSEEHnWT4QQQgghScNqI0IIIYQUFRQvhBBCCCkqKF4IIYQQUlRQvBBCCCGkqKB4IYQQQkhRQfFCCCGEkKJixDWpCwQC2LlzJ8rLy+MOKSOEEEJI4SCEQG9vL5qbm2E2x4+tjDjxsnPnTowfPz7fq0EIIYSQNGhpacG4cePiLjPixIscwtbS0hI1fZYQQgghhUlPTw/Gjx8fMUw1FiNOvMhUUUVFBcULIYQQUmQkY/mgYZcQQgghRQXFCyGEEEKKCooXQgghhBQVFC+EEEIIKSooXgghhBBSVFC8EEIIIaSooHghhBBCSFFB8UIIIYSQooLihRBCCCFFBcULIYQQQooKihdCCCGEFBUUL4QQQggpKkbcYMZs4fb58bNX1sPrD+A/TtsPdit1HyGEEJIPeAVOgT++sxl/XrEVQz5/vleFEEIIGbVQvCSJzRzeVF5fII9rQgghhIxuKF6SxGw2wWYxAQA8fooXQgghJF9QvKSA3RLcXF6fyPOaEEIIIaMXipcUsIVMuh4/PS+EEEJIvqB4SQEZefEw8kIIIYTkDYqXFLBJ8ULPCyGEEJI3KF5SwBFKG3kpXgghhJC8QfGSAirywlJpQgghJG9QvKSA3cq0ESGEEJJvKF5SQPV5YeSFEEIIyRsULylgp+eFEEIIyTsULylAzwshhBCSfyheUoDVRoQQQkj+oXhJAUZeCCGEkPxD8ZIC4WojdtglhBBC8gXFSwow8kIIIYTkH4qXFGC1ESGEEJJ/KF5SwM7ICyGEEJJ3KF5SgJEXQgghJP9QvKSA7LDrZuSFEEIIyRsULylgt1gAcLYRIYQQkk8oXlLAZg1GXryMvBBCCCF5g+IlBZRhl5EXQgghJG9QvKQADbuEEEJI/qF4SQGWShNCCCH5h+IlBVSHXY4HIIQQQvIGxUsKqNlGPn+e14QQQggZvVC8pICMvHgZeSGEEELyBsVLCjis9LwQQggh+YbiJQXCkReKF0IIISRfULykgJ2RF0IIISTvULykgJxtxCZ1hBBCSP6geEkBRl4IIYSQ/EPxkgJ2el4IIYSQvEPxkgKMvBBCCCH5h+IlBdjnhRBCCMk/FC8poCIv/gCEoIAhhBBC8gHFSwrIyAvA6AshhBCSLyheUkB22AVYLk0IIYTkC4qXFIiIvNC0SwghhOQFipcUsJhNsJjZqI4QQgjJJxQvKaK67DLyQgghhOQFipcUkY3qGHkhhBBC8gPFS4rIcml22SWEEELyA8VLiqjIC9NGhBBCSF7Iqnh56623cMYZZ6C5uRkmkwnPPvtswte8+eabmDt3LpxOJ6ZMmYIHHnggm6uYMjZGXgghhJC8klXx0t/fjwMPPBC//vWvk1p+8+bNOPXUU3HMMcdg1apV+MEPfoAbb7wRTz/9dDZXMyVk5MXNyAshhBCSF6zZfPNTTjkFp5xyStLLP/DAA5gwYQLuvfdeAMDMmTOxcuVK3HPPPTjnnHOytJapwflGhBBCSH4pKM/LihUrsHDhwojHTj75ZKxcuRJer9fwNW63Gz09PRF/2YSTpQkhhJD8UlDipbW1FQ0NDRGPNTQ0wOfzob293fA1S5YsQWVlpfobP358VtfRbqHnhRBCCMknBSVeAMBkMkX8X05v1j8uue2229Dd3a3+Wlpasrp+jLwQQggh+SWrnpdUaWxsRGtra8RjbW1tsFqtqK2tNXyNw+GAw+HIxeoB0IgXRl4IIYSQvFBQkZcjjjgCy5Yti3js1Vdfxbx582Cz2fK0VpFwPAAhhBCSX7IqXvr6+rB69WqsXr0aQLAUevXq1di2bRuAYMrn0ksvVctfc8012Lp1K26++WasXbsWDz74IP74xz/illtuyeZqpoTdagFAzwshhBCSL7KaNlq5ciWOO+449f+bb74ZAHDZZZfh4Ycfxq5du5SQAYDJkyfjpZdewne+8x385je/QXNzM371q18VTJk0wMgLIYQQkm+yKl4WLFigDLdGPPzww1GPzZ8/Hx999FEW12p4ONhhlxBCCMkrBeV5KQZsnG1ECCGE5BWKlxRRgxnZYZcQQgjJCxQvKWJjnxdCCCEkr1C8pAg77BJCCCH5heIlRdhhlxBCCMkvFC8pwsgLIYQQkl8oXlJE9nlxU7wQQggheYHiJUVUh12mjQghhJC8QPGSIqrDLiMvhBBCSF6geEkROzvsEkIIIXmF4iVF7OywSwghhOQVipcUUaXS7LBLCCGE5AWKlxThbCNCCCEkv1C8pAg9L4QQQkh+oXhJEUZeCCGEkPxC8ZIiDkZeCCGEkLxC8ZIijLwQQggh+YXiJUXC1UYUL4QQQkg+oHhJEdVhl5EXQgghJC9QvKQIq40IIYSQ/ELxkiKyw25AAD4KGEIIISTnULykiIy8AICXXXYJIYSQnEPxkiKy2gig74UQQgjJBxQvKWI1m2AKenZZcUQIIYTkAYqXFDGZTOFeLxQvhBBCSM6heEkDR0i8eJk2IoQQQnIOxUsa2NiojhBCCMkbFC9pYOeIAEIIISRvULykgc0a6rLLyAshhBCScyhe0oCRF0IIISR/ULykgaw24ogAQgghJPdQvKSBw8rICyGEEJIvKF7SgJEXQgghJH9QvKSBnG/kZuSFEEIIyTkUL2kQjrxwMCMhhBCSayhe0sBOzwshhBCSNyhe0sBOzwshhBCSNyhe0oCRF0IIISR/ULykgc3CDruEEEJIvqB4SQNGXgghhJD8QfGSBuzzQgghhOQPipc0YOSFEEIIyR8UL2nAaiNCCCEkf1C8pIGaKk3xQgghhOQcipc0CKeN2GGXEEIIyTUUL2lgY+SFEEIIyRsUL2kgIy9eGnYJIYSQnEPxkgb0vBBCCCH5g+IlDVTkheKFEEIIyTkUL2kgPS9upo0IIYSQnEPxkgaMvBBCCCH5g+IlDdRgRkZeCCGEkJxD8ZIGjLwQQggh+YPiJQ1UtREjL4QQQkjOoXhJg3DkhR12CSGEkFxD8ZIGrDYihBBC8gfFSxrQ80IIIYTkD4qXNKDnhRBCCMkfFC9pwMgLIYQQkj8oXtJAel58AYFAgKZdQgghJJdQvKSBjLwAHM5ICCGE5BqKlzSQHXYBihdCCCEk11C8pIE07AKAl6ZdQgghJKdQvKSByWQKzzdi5IUQQgjJKRQvaSKjL14fDbuEEEJILqF4SRNbyLTr8fvzvCaEEELI6ILiJU3CjeoYeSGEEEJyCcVLmsheL/S8EEIIIbmF4iVNHOyySwghhOSFnIiX++67D5MnT4bT6cTcuXPx9ttvx1x2+fLlMJlMUX/r1q3LxaomjY3zjQghhJC8kHXx8te//hWLFy/G7bffjlWrVuGYY47BKaecgm3btsV93fr167Fr1y71N23atGyvakrYrUwbEUIIIfkg6+LlF7/4Ba688kpcddVVmDlzJu69916MHz8e999/f9zX1dfXo7GxUf1ZLJZsr2pKqD4vjLwQQgghOSWr4sXj8eDDDz/EwoULIx5fuHAh3n333bivPeigg9DU1IQTTjgBb7zxRszl3G43enp6Iv5yASdLE0IIIfkhq+Klvb0dfr8fDQ0NEY83NDSgtbXV8DVNTU343e9+h6effhp/+9vfMH36dJxwwgl46623DJdfsmQJKisr1d/48eMz/j2MoOeFEEIIyQ/WXHyIyWSK+L8QIuoxyfTp0zF9+nT1/yOOOAItLS245557cOyxx0Ytf9ttt+Hmm29W/+/p6cmJgGG1ESGEEJIfshp5qaurg8ViiYqytLW1RUVj4nH44Ydj48aNhs85HA5UVFRE/OUCRl4IIYSQ/JBV8WK32zF37lwsW7Ys4vFly5bhyCOPTPp9Vq1ahaampkyv3rAIVxuxwy4hhBCSS7KeNrr55ptxySWXYN68eTjiiCPwu9/9Dtu2bcM111wDIJj22bFjB/785z8DAO69915MmjQJs2bNgsfjwSOPPIKnn34aTz/9dLZXNSUYeSGEEELyQ9bFy/nnn4+Ojg78+Mc/xq5duzB79my89NJLmDhxIgBg165dET1fPB4PbrnlFuzYsQMulwuzZs3Ciy++iFNPPTXbq5oSrDYihBBC8oNJCDGi8h49PT2orKxEd3d3Vv0vP3r+Mzz87hZcf9w+uOXk6YlfQAghhJCYpHL95myjNGHkhRBCCMkPFC9pIjvsuul5IYRkmeXr2/Depo58rwYhBQPFS5rYQ+MKGHkhhGST3iEvrv7zSlz1p5UYYVl+QtKG4iVNbFbONiKEZJ+OPg+8foE+t4+RXkJCULykid1CzwshJPv0DvnUvwc9/jyuCSGFA8VLmoSb1FG8EEKyR++QV/170EvxQghA8ZI2dtWkjjloQkj26NFGXkaYeNnS3o9zH3gXr6/bne9VIUUGxUuaqA67jLwQQrJIRORlhKWN/vFZKz7YshdPfbg936tCigyKlzRRfV5ooCOEZBGt52VohEVeOvo9AIB+98j6XiT7ULykCSMvhJBc0DuC00btfW4AIy+iRLIPxUuaOKwczEgIyT4jOW3U0ReMvAx4fQmWJCQSipc0sbFUmhCSA0Zy5KWjPxh5GWDaiKQIxUua2Bl5IYTkgF53OPIy0jwvnTLyMsIiSiT7ULykCfu8EEJywUhtUieEQHu/FC9MG5HUoHhJEzmYkZEXQkg2iUwbjZzzTZ/bp86fIy0dRrIPxUuaSMMuPS+EkGyiNeyOpLSRNOsCgNcveC4lKUHxkiaqVJqRF0JIFhmpfV5kjxcJfS8kFShe0kQ1qfMnHg/Q2e/hKPsCQQiB3775JV75tDXfq0JIUozUaqOOUI8XyUjy85DsQ/GSJtomdfGEyUfb9uLg/1qGH7/wea5WjcRhXWsvlry8Drc+9TEFJSl4vP5AhGAZSRf46MgLTbskeShe0kRGXoD40Zc31rUBAFZt68r2KpEkWNfaAyA47G6P7s6PkEKjbyjygj6SIy9MGxnzzsZ2HP/z5XhvU0e+V6WgoHhJEzlVGohfLv3J9m4A4WZMJL9s3N2n/r2lfSCPa0JIYnp14oWel9HHc6t3YNOefrz6GSdva6F4SRObRrzEGs4ohMCnO0Lipc9juAzJLRsixEt/HteEkMT0aCqNgJEWeWHaKBla9gZvsroHvQmWHF1QvKSJxWyCxRzq9RIj8rKze0jdXQx4/Dw4C4Av2nrVvzd3ULyQwkYfeRlZnhcadpOhpXMQAMWLHoqXYWBPUC69ZntXxP8ZfckvQ14/tnaGU0VbKV5IgdMbFXkZOa0Z5PnQGroJZNooGo8vgJ3dUrzw+qGF4mUYqC67MSIv0u8ioUE0v3zR1gdtgdFmel5IgSMjLy6bBcDI9Lw0V7kAAAMj6Ltlih1dg+qcxchLJBQvw8BuDZ5QYnWGXLMjUrykEnnx+gP0ZGSYL9qCfpcx5Q4AwcgLy6VJISMjL/UVwX12pKRWAgGBzpB4GV8TFC+DTKtHsU0TKaZ4iYTiZRjY48w3EkIo8VIfuljqSwPj8V8vfI4F9yzHOxvbM7CmBAA27A76XY6bPgZmUzBM3dbLaBgpXGTkRZ5DRopht3vQC38geOMwNhR56XePjO+WSVo04qVrgOJFC8XLMLDHmW+0fe8guga8sFlMOGqfOgBAewri5aNtewEA63f3JliSJIusNNqvqQLjqksAAJsZ3SIFTK9bihcngJGTNpIpowqnFZUuG4CRI8wyiVa8uH2BEfP7ZwKKl2Egy6XdBpEX6XeZ0ViBpsrgiac9hbTRto5QedwATVqZQlYa7dtQjkl1pQBYLj2SeGvDHtzy5MfYk2I07c8rtuDJlS1ZWqvhISMvMtXp9gUQCBR/qlNGoevKHHDZrQBYKm2ENm0EAD1MHSkoXoZBvPlGMmW0/7hK1JaF0kb9yQmR7gEvekInrS7urBlBW2k0raEck2tDkRdWHI0Y7l/+JZ76cDu+//QnSXuZOvrc+OFzn+G2v60pyKnGes8LAAz5iv/uW54La0rtKLEHvYOsNopGL17oewlD8TIM4k2WXrOjCwBwwNhK1JXZAQDtSd4RyqZEALCXec6M8OWeYKVRVYkNdWV2Rl5GIL3u4LHyz3VteHb1jqRes6t7CADgC4ioniqFgIq8lIXFy0gw7crIS22ZHaUh8TISvlemkeIlVE3Om1kNFC/DIJbnRQih0kazx1aiTkVekhMv2yJMWplPG93y5MdYdO9boyp/KscC7FtfDpPJpBEvLJceKQxoDJ8/ev5ztPUMJXyNNsVUiCF5GXmpcNngtAXPNyPBGyIjL7URaaPi/16ZpHvAq8TrPvVl6jEShOJlGMRqUre1YwC9Qz7YrWbs21CO2lDkJdlS6ZYsl8e9+MkurGvtxee7ejL+3oWKrDTapyF4EphcGxIvHf1F4SH4uKULVz78AX72yjp8uLVTVWqQMP0hz0RNqR3dg1784Jk1CdNHuzUCR9+KvxCQF69yhxXOEdTrRZ4L6zRpI0ZeIpE3sWPKHWioCPommTYKQ/EyDGTkRd+kTvpdZjZVwG41q8hL54AHviTy6trIy94MR148voC6c9vVlfjOdKSwsU1GXoLiZVy1C1azCW5fAK1J3KHnmz+t2IJ/rmvDfcu/xDn3r8C8nyzDzX9djX9z0qxCRl5+etZs2CwmvLa2Dc+t3hn3NW0RkZfCTRuVO22qUd2gp/C8Oakio9A1pXa4pOfFW3jbP5/I68CEmhJVkUXxEobiZRjYYvR5keLlgLGVAIDqEjtMJkCI5Dws27JY269tN76zazCj713IbNwdrjQCAKvFjPE1QdNuMfhe9obC7DMay1HutGLvgBd/W7UDlz30fszxFKMJIYSKvBw8oRo3Hj8NAHDH85+hrTe2ONU+V5iRl+A6lTutYfEyAiIvsvKytsyBktD3GmCflwiMxAs9L2EoXoZBrA67n4RmGu0/LiheLGYTakpCpt0ker1o00a9Q76kojXJ0qMxJe4YJeJlyOtXJwKZNgKASUVUcSRPWt85aV989J8nYek3D4fZBAx5A1nxRRUbbl8AMpNW4rDimgVTMXtsBboHvbjz75/HfF1bT+F6XvwBgf5QKqXcGU4bjQTx0qk8L3aU0PNiiDxnja8pQVVJULwU2j6aTyhehoFR5CUQEPh0R9BLsn8o8gIgbNpN4HvxB0SUqOjJYBWEducfLZGXL/f0IRCqNNJWbRRTxZE06lWX2GGzmHH4lFp1N8aKNKDfHT5GXDYLbBYz7vzKbADA8nVtMb0vEWmjAou89GmO+3KnTaVXRoI3JLLPiyyVZtpIy/ZQ1en4ahfTRgZQvAwDh0G10eaOfvS5fXBYzZhWH77LV6bdBBVHrT1D8PoFbBYTyhzBO5JM+l60J2hZJjrSkZVG0+rLYDKZ1OOTQ+KlGAY0yn1A3oEBQSGjfW40I+/aXTYLLKG60v2aKgAA/R5/zBuAPQXseZHHqsNqht1qHjHDGX3+gBLctVrDbpF/r0xDz0t8KF6GgVGfl09DfpdZzRWwWsKbVzaqS9T9U3bWHVvlQk1p8OKUSd+L9gQ9WiIvG0OddaeF/C6SSZqKo0ImEBDqpFXl0ogXtX9QvEi/S6nDoh5z2S2oDok9o31dCBEpXgos8qI16wIYMWmjztD+ajIBVSV2lIbSRl6/KMhGgfnA5w9gx97gPjuhVuN54bGuoHgZBqpUWtNhV/Z3OWBcVcSydSryEn/nkw3qtHnO7sHsRF46+j1FfxeXDBt2R1YaSaR42dYxUNClx71un/JzVEZEXpg2ksi0kfRPSJoqg0P/dnVHi5euAW9EpWCh+QlUjxdn8DuNlLSR9LvUlNhhMZvU9wLoe5Hs6h6CLyBgt5jRUO5EpSt4/WDkJQzFyzCwWcORF7fPjxVfduDNDXsARPpdAK3nJX7kpcUgVLi3P3M7bK/u7nI0pI5kpZE+8tJc5YTNYoLHHzC8uBUK0u9SYrfAYQ2f6KuYNlLIicQlmgshADSHJhbvMGgLsFtXhZRJb1kmCEdeQuIl1KSu2McDdPSFzbpAsOWENZTqK3ZhlinkdWBcjQtms0mTNiqsfTSfWBMvQmIhIy/Pf7wDj7+/LSKce9CEqohl1YiABIZdrcO8NwvzjfR5/Z1dg8r7MRLRVhpNa4iMvMhy6U17+rGlfUBNmi40lN9FkzICNJGXJGdmjWQGVNoo8pTWXBVs7rXLIG2krTQCCjDy4pZl0sHfWXleivwCLysua0vD5nmX3YLeIR9NuyFUBD50TqrUVBsJISK8e6MVRl6Ggbwjau/zYNDrR12ZA1+d04zfXTIXU8ZEXijlgZpK5EWljbJk2AVGfrm0rDSqdEVWGklkp91CLpeW4rUyFGmRhCMvhXXRzQeJIi9GEUZZaSSrBgvX8xI8zzhHiLFVRl5qysL7M4czRqI16wJQkRePP1D0v3+mYORlGJx98Djs6h5CY4UTR0+rw4zG8piKuDbpyEvIpFVTgnWh9v2ZjbxEvtdIN+1+ITvrNpQZ/jbFUC4tTXrVJfrIS2EZdpevb8O9r23Ef59zAKY3lid+QQZRkZcoz0sw8mIk0mWDusl1pdiwu6/gqo2i00YjQ7xIz0tdqVa8WAG4KV5CaK8DAFBqt8BqNsEXMu/rvV2jEUZehkFNqR3/efp+uPrYKZjZVBE3lCc9L+197pg9JwY8PhVSHV9Tou60M3lnLfP646pDd6QjfETAhhh+F0lxiJdQpVGUeCksw+4j723D6pYuvLZ2d84/WzZzK3HEirzEThvJoXeFG3nRVRsV+XgA2S6iVhMJlcIsVtqorXeooE31mUZrHwAAk8nEcmkdFC85QkZe3L6AOtHqaQmp7QqnFZUum7o4ZfLOWkZeZjQGe2DsLFCj6rtftOOJlS3Dfp/1reEeL0YURdooJE5kxYFElkoXimFXlqTnw3Q5EKo2KovyvATFS2v3UNQATlkmvU99UNgOePwFVaqrHQ0AYMT0eWnXGXYBxB3OuHZXDw776T/xvac/yc0KFgAtSry41GPhcmmKF4DiJWeU2K3qAI3le1F+l1Db+nCpdCYjL1K8BE/Yheh5CQQErn30I9z61CfDiogIIfBxaFTDbF31l2RSXXBbt3QOZHQMQybpGoxuUAdo00b5P5lpjdH5SGuoyIsunN5Q7oDZFOwhoh/NIdNGU8eEDeu9BVRxpI+8JEob/d8/NyY1STvfdBgYdkscsUcEfL6zB0KEe2iNdPrcPpVak5EXIGzaZeQlCMVLDtGmjoyINmll/s5a5vVnNAXFy66uoYI72W3rHFAH6Kb2vrTfZ2f3EPb0umE1mzC72Vi8NFe6YLea4fUL7CzQFFp4NIBx2qhrwBMVVcg1X+7pg9yN8uFbCHteItNGVosZDRVB38tOnWlXGnabKl0qYqNvJZBPVOTFoTPsGmzfQEDg3n9uxGP/3obtewvvhkSLdq6RRA1nNBBm0vNXCCI9F8ib2OoSGyqc4WOeaaNIKF5ySCLTrspzVkdGXjLaYTd0Qpwe8oAMev0Fd1JYGzIqA+GOw+mwatteAMDMpoqIRlhazGYTJtYU9oDGcKm0cbVRQOTfryFHMAD5SWuoaiNHtJFRmna15nQhhPK81Jc7VCO4QjLtpmLY7ff4lCck3/tCIlSfl1KjtFH09pfVll0ZbNZZyOhvYiVSvBRaSX++oHjJITJMGivysn1vpElLpgUyNVna6w+ou+Ix5Q4VCcpm6ih4kUgtuhMhXjpjr9vG3b144ZOdMZ//aGsXgOieO3oK3bQbLpWOjLzYrWYVaci3aVf6XYD8DNiLFXkBgKaQ70UrXnrdPiUC6iscKjVTSBf+WGkjI3GobbBXSAJMz5DXj96QPynCsBv63aQI1SIjDUPeQNH7fZKhRWfWldDzEgnFSw4ZUx4aEZAg8iIVt7wbBDLT/VObzy9zWMMNvLLYZfd3b23CoT/9J/7xWfIVKJ/vCl8IZbMmI/7fkx/j+sdWqa7Gela1BCMvicSLNPNqRVMhIdNG+iZ1QOF02d2gibwMenPvHYoXeRlr0OtFRl3KHFaU2K2ocMnIS+FcGKIMu/bg6doo8qJd70ISYHpkyshmMUWc3+INZ9S2ihgNF+5Y4qWKaaMIKF5ySLxGdUIIVW0kxYvVYlYnrkxcnOQJrsxhhdViRnNl9B1pJhFC4PH3twEAVrd0Jf06rYiQB7Ief0BgXUjk/NOgNNft8+OzHcH3OXhCddzPk6Mc1hSoIVCevKtL7VHP1RTIcEbZTwcwDv1nm/54kReDtJE069aXB4/JioKOvIQ8L7bYnheteCkk07EeNdeo1B7RWsJll4bd6HXXCpZ8i/RcECttVEHxEgHFSw6JNyJAduk1mcLlnUBmfS89ukFvzQbh9EzyRVsftoQ8K8leFLoHvRFprJbOAcOU086uQTVUb/n6PVHLfL6zBx5/ADWl9qiTgJ79xwXFy4bdvQUXlg4EhBImxpGXzM+/SpUhrx9bNX6hvFQbxRjMCGj2c03kRZZJ11eExIvyExTGhT8QEOjzpJs2KtyLm9FoACB+h13txXo0ixcadiOheMkhtXGqjeQOK6tfJNL3konJ0vLELE/UMm2ULc/Lq5+HIyLJnlBl1GVM6I643+NXd2taNmn8Kds6B5RIkqza1gUAOGh8VcI5IGOrXKguscHrF1jf2ht32VyjnShdYSBeqgsgbbRpTz+0xU556fMS+sxSR3TkxSjCGDbrBo8BZdgtkMhLn8enqrfKdVOlhwzScsUSedEPZZTE6/OivVh3j/C0USAg0LI3MgIvUZ4XihcAFC85RR6wHQYXY6OmRAAyOlm6R5dDjzf3JRMs04iXZO8WpHg5cFwVGkMlrtsMUkeb90SWUC9f3xbx/1WhNFUivwsQ7F45u0BTR/Jk7bJZVNpAS7jLbv7EizTrxrsAZZt4kZemkEhv73PD4wte+KPSRlmo5NjVPYgjl/wTv3xtY8qvlQLEbjGr311GXjz+QJSBXyu6CkWAGSG769aV6SMvsfu8REZeCve7ZYLdvUPw+AKwmE0q3SmR/rZCjqzlEoqXHDImiciLXm3LHTYTalvu9DK/n820UVvPUITPJVnDsRQv+zWVKyHXYtC3YnMo8iJ7YCxfH2nalWXSByXwu0gOCKWOCq0R1t4Yc40khTCcUZZJy1462UgbbW7vN/Q2AUFvlbzo6TvsAsGSXLvVDCGA3T1B0dKmTxspz0vmohbL1+/Bzu4hvPzprpRfqzfrAogQr0M+nXjRpLsKqVeNng6N50VLLOGrTZsCI79cevOe4HltQk0JrJbIyzPTRpFQvOQQmTbqGvBGtSFv0fV4kSiHeSYMu9Lzoksb7e4Zynh32dfWBiMhjlAKrDfpyEvwLn5mU4Vy2xuZdmXa6LxDxgMA3tvUobwAbb1D2L53ECZTWJQkQpp2P9leWOIl1kRpSTZGSKSKjLxI71A2mtQtXroKV/5pJda1RleEefwB+EJ5K/1sIyAYWWvWDWiMShtlodpIirp0LjZ6sy4QPJZkBlR/kY+IvBSIb8eIWGkjmRIb8Eaue5/HF5GSHOnVRl+GzmtT6kqjntOKl0JrLJoPKF5ySJXLBos5ePbZq0sdbdONBpCoi1NGIi8hz0vohFhX6oDNYkJAALt7jXvPpMuyz1sBAAtnNQY/O4m7QZ8/gPW7w+JlQhzxIiMvJ89qRFOlE25fAO9t6gAArA75XfatL1dmx0TItFGhmXbjmXUBzXyjPBp25UVaCkW3L5Dxjr/y+NhhEIUb0PQGKTFIrQHRAxpzUW0kRV06F9xw5CX8u5tMJjitxqbdbJdK97kz02tKVlrW6Q27ssOurs+L3uOS76q6bLMplA6fMia2ePEHBPrchStQcwXFSw4xm00qXLpHlzqK2Zgog2kBfeTFbDahKQvl0v1uH/71ZVBInHPwWADJ3S1sbu+HxxdAqd2CCTUlKgql97wMef3qDnrKmFIsmD4GQDh1lIrfRTK2yoWaUjt8gcIy7XarMukY4iXPhl23z48toUqjA8dVqcczmTryB4TaDkZRDFkm7bCao0LtkvB+HkobychLhYy8ZL7aSE40H/T6UxbERpEXIByh0G9frWDJtGG3vc+Nw+56DVf9eeWw36vDYDQAENvzov+9R7rnZVMobTRlTPQgWafNrIo5mDqieMk5siW2tlGdxxfArlAuPlbaKBN3HHrPCxBOHWVSvLy1YQ88vgAm1JRg3qQaAMHBeEZVElo+D/ldpjeWw2w2qSiUXrxs6xyAEMETe22pHfP3DYoX2awu7HepSnqdC9W0KyMq+onSknwPZ5SVRhVOa4RfK5PipWfQq1IHRiftcKVRtN9Fot3PBz3hLq/RnpfMbMfuQS9294RvUFJNR8UULzF6vWhFV6YjL59s70K/x4+Ptu4d9nuF00aRkReVNtL1edHv1yO92kjOcjNKG5lMJvpeNFC85Bij4Yw7ugYhRPDEVKe7I8nkZGlpRpT5fSAcTs9kubSsMjppvwaU2i0qVZbopCrFy8ymCgBhIbereyjCI6TuTupKYTKZcNQ+dbCaTdjc3o9Ne/qUbyVZs65k/7HBz11TQL6XWBOlJfLxzgFPXvLgG0PN6aY1BAVnrIvrcOjUCHfDyIuqNDJOGQGRlXUyZeS0mZXhO9Oely/aIqN3qaZ99aMBJE6bcZfdbEZeZPPMngyMKZHVRrWxDLte48iL9PqM5D4vQ16/GqppFHkBaNrVQvGSY6Q40UZe3gpFDKaMKY3qSZLJ9u+GkZdQOH1XhiYq+/wBvB4qWz5pv4aU7hakWXe/5qCIqC93wG41wx8QEesn/S6TQ3cn5U4b5k4MCpXfv70JAx4/yh1W7BPjBBCL/cdWASisyEu80QBA2PPi8QXy0hxuYyg1sm9DcFvHSmsMh64E4kVFXgzKpCXaLruq0qjcqY43eUz0e/wZ8XZoxyUAqUfGjKqNgOTSRj0ZNnRqPWfDqcYa9PhV9FXfLVqKF69fRNyoSPEuz1O56HHi9vnzMp9ra0c4oqy/iZWoc+kIj0AlA8VLjlGN6kJ3IF5/AL97axMA4IJDJ0Qtn5UOuy5t2iiznpcPtuxF14AXVSU2zAsJivDE3kTiJTLyYjabML5alkuHT6CbQ6HVyXVhcbJgej0A4MmV2wEAB46vgtkcvzmdnkLstKtGA8SoNiq1W2CzhEzgeTihSbPuPvXBKeVZibxozMhxIy8GlUaSsZr9XDtNWqIVCZmIXEi/iyTVtK+KvDiM00ZDcdJGvoDIqHjUpm2HcxMlhYjNYooa46Dtz6P1vcjz3qS6ktD/sxthFELgK//3Lyz4n+U5Pwd8qcy6ZTEba3K+URiKlxyj0ka9wQP5+dU7saNrEHVlDpw7d1zU8nJnzcRk6XC1UbTnJVNpI5kyOn5GvTJPKjNknLRRe58be3rdMJmAGY3l6nFpYNaeQFXkRePIl6ZdWTKbit9F0lzpVKbddUmYdn/x6npc+8iH8Ge4skaLvFjoJ0pLTCZTODpn0Pww22xoM468ZLJcWnvBNDLUhucaxYm8hMRLz5BPGYyl3wUIzhGTF9RMeEY26iMvKaeNoquNAM18I82FNRAQUb1dMpk60vZZGo73Tuvf0l+c7VYzrKGbDa3wlTc8E2uDx7rXL7JSii/pGvBi/e5etPW6Y85Vyxay0miqgd9FwrRRGIqXHBPusutGICBw/5tfAgCuPHqyYQfVSk2UZLgNtMKRl/BJ3mjibroIIbBsbahEer8G9XhlEpUcMuoyqbY04i5sQhzxojW1zWgsR4PmYpSOeDGZTEkPaRRC4IE3N+HlT1vVSScbJEobAUBNnky7bp8fW0NjGabpIi+ZvGvVijKj6J2aKB3H81LmsKroimyeKHu8SDJZcSTLpCeGTOcZN+xqtm+/pheKfD5T3h0hBLZrIy/DKMnvStBwUQrffk3KRu7TTRVO2EM3Q9n0vWhv4rSG61wQrjSKLV44nDEMxUuO0XpeXv18N75o60O504qLD49OGQGZmyzt8wfUHYs28iLvSLsHvcPuHbB97yBaOgdht5hxzLQx6nH5efEOuHDKqDzicX2vl+5BrxpsOUkjXkwmk6o6AoA541Mz60qkePk0gWm3e9CrBkNmsx27vGOvipE2Cj6XnxEBW9oH4A8IlDutSjhmJ/ISP20k/Qnxqo2AsFBX4qUisuIlUxVH2koj6cVK3fNibNg1mm8kb2rsVjPqyu0Rjw2XrgGvqswChrePyd8xVgrUqMtut9r/bRlNocdi+16teMnO2JRYqAZ1cbx6VRns+1XsULzkGG210f3LvwAAXHrExLjN1DJx0GrDyNq7uTKHVXlSdg0zdSR714wpd0RcSJKp5Ph8Z0i8NFZEPD6uOlK8bAkd4PXljqhW8MfPCPpepowpjWo/niyyXPqTBJGXPZqmfplsKa9F2xo91t1q8DkZecmteJG+jmn14Ry9UWRguGgjL8ael9hDGbVI0+6e3sjuupJMVRxJE3NzpVPtv6m2tdfPIZMYRba0RvxMl3xrvWbA8O745TaIlQI16vUSfo09J+JFG3lpzaF4EUKE00ZxxAvTRmEoXnKMNOzu6h7Cx9u74bCaccVRk+O+pso1/MnS8mRWardENfLKVLm0PKAqdSmOZE6o2rEAWlTkJXRHpK800rJwv0b8x2kzcc+5B6az+gDCpt2NCUy7bb3p9fDo6HPj+HuWJzWsL9FEaYlsYNeZ4y67skx634ZwtCxWyetw2Juw2iix5wUI7+cSrWEXyFzkRVYaTWso1/RpykzayGlgiFbixWVV3yFTnhdZJi0ZlmFXRV5ipI1kl12DtFGVy5bRystYaDs4t+VQvLT3edA75IPJFE41GlGZhQGixQrFS47R9ze44JDxURNW9ai0wDAuTsqsa3ARzNR06Z5Y4iXB3YLb51dOe1kmLZHDGTv7Pegd8qqZRkZ5YbPZhKuOmYKDU+zvoqW50onaJEy76UZePtiyF5va+/Hc6h0Jl000UVqSi5O6ETLCsE99+E4xXG2UuWiU9nsNev1qMrSk3yM9LymKF33aKEOeF+l3mVZflnafpliGXaNSadW/yWlTYidTFzd95GU4FW0ygpZK2kh7TsnkqJRY7OgKf99cel5k1GVctSvusV6ZphgeiVC85BinzaLKH61mE64+dkrC12RisrQy6xqkpzLVZVebn9aS6KKwcXcffAGBSpctagx8uTN80mrpHIwbeckEEZ12t3fFXG5PmpEXmdoxmiwetWyCBnWSfA1n1DaokzjVBShzgz47dVVUeiEw4Jael+TSRpKotJG88A8z8iIrjfZtKE8r1SFEeHZNhT7yYjUQLyryYkuqsi8VpFFersdw9rHwkNH4ht3ItJHG8xKKQHdlsaouX2kjdVNWFztlBGS2aWmxkxPxct9992Hy5MlwOp2YO3cu3n777bjLv/nmm5g7dy6cTiemTJmCBx54IBermTNkxdFX5jSrnHg8MjFZWhta1pOxtNFArLRR/IuC1qxr1N8gnDoaMOzxkmmSqTiSXVqB1C4U8s61Z8gXFUGItWw8s672+Vz2efH4Asp/JMukAc2APW/mIi9RLeJ1J+50Ii82iykqfVHhykzKRXmBGsrUWIdUPC/9Hr9KF0ZHXoKnbG2fl/CNSbiiKnNpo6B4OSA0tyoz1UaxehaFPC8hYebxhYsMqlx2VJXmIPKSp7RRvIGMWuh5CZN18fLXv/4Vixcvxu23345Vq1bhmGOOwSmnnIJt27YZLr9582aceuqpOOaYY7Bq1Sr84Ac/wI033oinn34626uaMxbNbkJTpRM3HD8tqeUz4TCPF3lpDA2naxtmmDSW5yXRASf7bshyWz3jNBVHm/dkN/IChH0va3b0xFwmMvKS/IVCe+cqW6UnWjZemTSgLZXOXeRlW2c/fAGBModV7T+AphomQ9VGgYBQaSNHaCidXiyGq43iR15kl1YAGFPmiBLKyvMyjOOse8Cr/FD7aNJGqUReZMrIajapcQASI0O0NiWcie+gRVbfyGNiOOegvQk8L+G0UfD7aEcDlDutKvKSrfTogMcXcQPQ1uvO+HT0WMQbyKhFG1nL1boVKlkXL7/4xS9w5ZVX4qqrrsLMmTNx7733Yvz48bj//vsNl3/ggQcwYcIE3HvvvZg5cyauuuoqfOMb38A999yT7VXNGd8/ZQbe/f7xSV+AM3FnLU9wegMgEBYX+kZXqdKtCV9rSRTKlqMSxpQbe39k5OXDrXvR7/HDbELEEMBMIyMvG3b3wu0zvghrp4KnFnnRiJe++CfhWGk4PdKwm8vIi7yojat2RYiATI8H6B0Km5blbx4VeXEnF3lpqHSoGTn1Fc6o58szkDaSfpfmSifKnbaETSYHPX6c+et38P2nP1GdY7VmXb3AMmpSp70xyWTkxR8Q2B7yvBwQOibiCeTH39+GFz7ZGfN5JcZjRF5Un5fQ7ykLFCqcNpjN4UhZtlrjy6hLqd0CkynY8LIjR40fZdooXoM6IHyuFiLzM6yKjayKF4/Hgw8//BALFy6MeHzhwoV49913DV+zYsWKqOVPPvlkrFy5El5v9E7rdrvR09MT8VcMxGr/bEQmJksbjQaQhMXF8A6GhNVGMSIU0v8Ry7gsBzS+80V78P81JWo0fDZoqnTCEZqptLvbODrSlubEYK3ASOR7UZUWCcRLPjrsSnO33kcSrhjJjHiRQxnLHFa1f+i3d7jaKH7kxWG1qPfQVxoByRt22/vceOKDFnz3yY/x0bbIScvaSiMgcZPJT7Z34ePt3Vj6QQte+TTY4DGWWRfQiMNY1UYZ9Lzs7hmC1y9gNZswI1QFGCvqsafXjdv+tgY3P/FxzE7gifZnfaWa/nyS7X5G20Np8/E1JagtDe4fyfZ6GfL68YNn1uDtjXtS/lyPL6C8RYkiLw6rRR1joz11lFXx0t7eDr/fj4aGhojHGxoa0Nraavia1tZWw+V9Ph/a29ujll+yZAkqKyvV3/jx4zP3BQqETJi0jIYySjIVau6KJV5c8m7QONS5JxSBiDWMTN5xyzuNbKaMgKCwVDOfuo19QJGRlzTTRgkiL3sT3KlKpIeg1+2LGGqXTZR40VXwlKgmapkRL+FtYIuZflSRlwRN6oCw70VfaQTEL5Vu6xnC79/ahHMfeBeH3PUabn36Ezz54Xbc8NiqiO+6QTeo0moJT642uvnQltz/+IXP0e/2qf3JKEpq2OdFE3nJZNpI+l3GVruUT2/IGzD8bVtD+4PHF4iYAi4RQiSc0+VSfV6C318vdjJRuBCPHZpoYmNlcP/Qetvi8cInu/DYv7fhB8+sSXn20rbOYLPHUrslokt4LLLte/n7xzvx2c7CGU4bi5wYdvVRBiFE3MiD0fJGjwPAbbfdhu7ubvXX0tKSgTUuLDJxx6HKKQ0Mu6o519DwptHGLJUOnVADAugzKKFtD53A6xKkjSTZFi9A/Aost88f4WHoTTPyksjzksxoACC4veWhkasSStnQsFkXeXFmOPIio0k1pfaYE3X7k4y8AMDY0O+qrzQCYjepE0LgrPvexV0vrcUHW/ZCCGD22AqMKXdgR9cgfh8arApoy6TD/q3KOJ41rXjZ1T2E/3v9C/QlIV5ie14ylzaS0YDx1SUod1jV7CGj85D2Iq/1g6l1HPKpGWD684OkRFdt1DVgHHnJ1j4uU6Fjq1xoCO0frTEir3rWhYoOWjoHoyaKJ0KadSePKU0qIp9N8fLJ9i7c8PgqfPvRjzL+3pkmq+Klrq4OFoslKsrS1tYWFV2RNDY2Gi5vtVpRW1sbtbzD4UBFRUXE30ijKgOza5KJvHj9IqLteKrEShs5bZaw2dLgwqDSRqXG4qWpygntgOhEodVM0FQZe9p2uy5ikm7kRf8+Ucsm6XmxmE3qN8yVaTecNoqMvGS6w6624qoyRgRyQHXYTRx5uejQiThiSi1OO6Ap6rlw5CXy99zd48aOrkFYzCbc+ZVZ+Nf3j8cLNxyD/zx9PwDAfcu/VOmFjSptFN5Hq+J4NeSFflqoV84f3t6kxhcYpY2chn1ewtVGmUwbycaQ42tcoQGgsftNaUWY0X6dTM8ifZ8X/flE20k6G2ZVWW05ttqlPFHJpo3Wa6aIL/vcOKsQi2TLpCWq18swmpbG4rNQp/MtHQNJtXPIJ1kVL3a7HXPnzsWyZcsiHl+2bBmOPPJIw9ccccQRUcu/+uqrmDdvHmy2+CfxkUomJkvH87yU2C2whNTBcE568QymsfwEfW4f3KGSYTmXRY/NYo4oc52Sk8iLTBtFn7zkBcea4jYTQqToeUkubQRAjUPIlWl3Vyidpve8SNPsYKYjLzHSRh5fQM2YStRhFwCOnlaHx795uGELdrmP9rkjjzN5YZpUW4LLjpykZiSdcUATDp5QhUGvHz97ZX1EpZG29028i42MWJx98DicMKMevoDAQ//aDAAq3aQl3ARQO9sofGxn0rArBzLKdg7htE3099BGW4wiL3tVmXTsc7jeL6UX73I7BgQi5i1lih0hc/LYqpJwBWaSaSNtQ8tln+9O6XOTLZOWxBLxmeDLtnDUaE2C+W75Jutpo5tvvhl/+MMf8OCDD2Lt2rX4zne+g23btuGaa64BEEz7XHrppWr5a665Blu3bsXNN9+MtWvX4sEHH8Qf//hH3HLLLdle1YIlE5OlVWjZ4G7OZDINuzOnVzP40SgsHCvUKX0fJXZL3GoRbeooF2mjsXHSRvLkPCHUxtvjM/YB6NGGzoHEnpeuJNNGQG6HMwohYnpeZB+STEVeOjUCziiqoBVJriTSRvHQpmm0Q0plJ+HpjZGl/CaTCT88YxYA4OmPtuOpj7YDCKbStHO3VHO1OJGX+nIH7jhjFuxWs6bHS2zx4jZKG2k8LwMe/7D9TzJtJI+96jhpG+1F3kiUJ+PfkpEzFXlRrQKCr3HawmbVbEQYtZEX6T1pTaLreGe/R/2OJhPw8fbulIY6JlsmLclm2kh2OgeAT0a7eDn//PNx77334sc//jHmzJmDt956Cy+99BImTpwIANi1a1dEz5fJkyfjpZdewvLlyzFnzhz813/9F371q1/hnHPOyfaqFixa05/24hQICGzc3ZtUCDV8d2YsEIY710V7IBmFu2M1qktUaSSRFUdOmzmir0i2kOmQXV3RJyF5op5UW6rSWclsN/0JN2GflyQmSksyOZxxyOvHrU99jH98Zhz+7hn0KaEaXW2U2ciL/D4RnhfNvib9LnaLedgVaDaLWaUutBHC9a3ShBvdh2jO+CqcfdBYAMB/v7wOQGTUBdB4Xowu+j3hYaYTaktw3YKp6rm41UYh8RIICFWdVOGyRgqwYUZf5GiA8SHxUhmnz0qiyEsyZf+qw643ss+L9mYonoAaDh5fQEXNxla50KDSRolTJ+tag6mWCTUlmDO+CkBq0Zdw2ijJyEsWxcsXGvGyZkdXxt8/k+TEsHvddddhy5YtcLvd+PDDD3Hssceq5x5++GEsX748Yvn58+fjo48+gtvtxubNm1WUZjSjuktqDtqf/WM9Tvrft/DMqh0JXx/P8wJoTbvpnfDkgVTutKoUVOT7G1dBhMVL/Au0jHJMqi2F2eD9M41KG8WJvDRUONQFJplGdfqUTrzIi3aidCLPi3aZTAxnXL5+D55YuR33/GO94fOyAqu6xBblXzAq5R0Onf3hdEP4pB3e1rIypSRBg7pkMRLxsoJouoF4AYBbF82Ay2ZR6Sttx2FA0yHb0LAbFMKy+uma+VNVpMNoMrrc3r6AgNcfQL9HM7zTaYNVK8CGkQIe8vrVhXt8dfBYiB950XpeDCIvCeYaAZruzO7ItJF2nEBlluZ47eoehBDBRoh1ZXYlXpJJG0lxO72xHCftF/RyJiteugY8ah9PNm1UFcO4LvEHBF5ftxvf/PNKfPPPK5Ou/Bvy+pVpGQhGkGIVcHy2sztnlY2x4GyjIkE/Wbqz34OH3w3mxvW9JvT4/AHVQj3WdOLhlljGMutKYt0tyDLp2gSRl4MmVAEADplUk9b6pYqsNup1+6IuAlK8jCl3RlRqJWKvTox09Hlinhy0E6VjbVMtmYy8yMZkWzsGItJcktYYZl0g81OlVVfWUns4eqeNvEizbhJ+l2TQVxwFAiKqd4uexkonrtVETPTLhatkIn8bjy+gvp+sfnLaLPj9pfNwxVGTcFYooqNF23F30OtXNxt2q1kJm0R9lZJhu6ZhmxRR1dJXZdBPaE8i8ZJEz6ISVSptbNgFwgIq01GHHZpKI5PJpNJG7X2ehGM8lHhpKMfCkHhZ8WVHROoxFl+GUkZNlc6ETRYlsTwvbT1D+PXrG3Hsz97ANx5eiVc/341XP9+Nd7+MbjFixOb2fggR7KlkMZuwp9dtGHnqHfLiq7/5Fw7+8bK8mnozc8QXIAMeH6wZnGybb2Q4uLV7CAMeH/74ziZVGdTSORAxRl5Pl+Zu3GKG4bLyotPe54n7XrGQc0DKHVbD18tcdUd/5PvLktsqly3u584ZX4VXFx+LxkpHWuuXDpUuK7oHfdi8pz+iekT6PSpdNpSFTjh7eoYSrtfunuB3nVxbilUDXfD4A2jtGTIUJ62hdJXTakZAiITvLcuE9/QmXo9EyOGXHn8Am/b0YWx1pEiR4xwaKqJ/i0BIjPlCkaPhpnI6QidHl82i3qtrILwPydSb02bOyH4hRdCevuB23N45iEGvHzazCfXl9pif8fXDJmDpB9uws2sIMxrLI5YrCaXSOqP2/eBvbDUDDqtJPTe+xoXvnjwdQPSxKoSACYAAsLfPozrAao87OSYhuC+k5w/7IlTyPbbKpYRo+BzhjlgvIUSEx2O3wbGwJxTBKItxfgAAhAKq/W5vsFV/6Ls5reHftswZXIfd3cPfz7XI1E1jpRMDHh8cVjOsZsAXCHp/5M2MEbJCZ1JdCZoqnZhYW4KtHQN49bNWLJrdGPdzZYn1xNqSpL+PFLDa/enZVTvww+c+hdRZFU4rakrt2NIxgBVfduDwKdGVuno+3xX0uEwdU4pBjx8b2vrw/uYOnLhfZGXw6+va4PULNFfZUWK3ZPR3SOW9TGI4jT0KkJ6enmCzusVPwOzIXgt5QgghhGSOgHsALfeeh+7u7oRtT5g2IoQQQkhRMWIjL7v2dIyohnW/+udGPPDmJpw3bxze3tiOXd1D+O7C6fifV4OmyhW3HR/TG7Hiyw5c+aeV2Ke+FM9ff7ThMvcv/xL/9/oXOHfuONx55qyU1y/8+rG488zZUc8/tXI7fvj8Zzhu+hj85usHq8e//vt/Y1VLF/73/ANx8qz4IdZc8+O/f46lH7TgW8dOwU0nTgMQDJHPuXMZvAGBVxcfi/uXf4FnVu/E4hOn4ZvHTknq/a6ZPwXvberE6pYu/PKCA3HSftHf+4VPduLWp9bg0Ek1ePgbhyRc1/c2deAbD6/ElDGleOEG4984GYQQOPSufyqP1GVHTMT3TpkRscwVD32Af2/uxN3nzMZXDoz2ZRz6k9fQ5/HjpRuPwaS69KOf3YNeHLHkdQDAR/95Ipw2C+b91zIMeAPqvZ9cuR13PP8Zjptej998/aC0P0vyXy98jsffb8G186fghhOm4dYnP8YLa1px0wnT8K358X/fWGzc3Yczf/MvVJfY8K/vH68eX/p+C378wucpr/uJv3gTO7uG8PjVh2FTez9uf+ZTHLVPHX5/6VwAwC1PfIyXPm3FrSdPx+VHTUprnW98fBVeW9uG206ZgUuOCFaG/ntTJ654+ANMqivBSzceo5Z978sOfONPKzGptgTbOgcQEMDyWxZEjGA474EV+HRnD+676CAsmFFv+Jlunx8H/fg1AMBrN8/Hib94E0D4tweAh97Zgv95dT1O378RPzv3wLS+mxGXP/gB3t8SuU/ftHQVln3ehh+cMgMXh7aBntfXtuH6x1dhekM5nvl2sHeZPyAw/2dvoHPAiwcvm4fDp8ZO2Xz11//ChrY+/Pbig3HMvmOSWtfN7f047VfvqErHgADOOWgs7jxzVkQxQyAgcOTdr6NnyIcnvnU4ZoeGa8bi7N+8i3W7e/GbCw/CmAoHzvvte6h0WfHu949XnX/Xt/birPvehcNqworbTojZcDBdenp60DSmNqnIy4j1vJTYrUkboIoBWUr8yqet6BnyobbUjiuPmYwH/7UZHf0e7O33GhooASjDWZXLHnOb1IbMeANef1rbTZrsasochq+Xrf/73ZHvL02szZWugvu9JtYG/QJ7et1q3boHvPCGTKwTaktQE/pdhryBhOsvDXxjyp1qMGDvkPH2ln6m2rLYv5kW+dv3DHqHtR27BjxKuADAjq6hqPeTlSWTassMP6vEYUWfJ7lJz/GQJtASuwU1oe7LVSV2DHQPwesPbm9Z8VDhyszxLgfyDYZ+zy/bg+bl/cdWpv3+jaFy8u5BL5xWi7rASMNlU1XyZk0g7MsRANyh/aS6xKbeo0bOIfIl3idjIX1dU8eEf+OmkO+jZ9AX8b6yYVxTpQv9Hj/29LrR5/Zhkj3st5HG4oY4xlSXzQKr2aT8UkCw+qdG03lbCqJed3rnqVi0hjw7U+rK1fuOrQoK771xjinp/9qvuSJimRNmNuDJD7fjrY3tOH6mcTd5IQS2hczx0xsrkv4+slWE9NJ/be44/OycAwyrMOdNqsHr69rw2c4eHDo5togKBAS2dIa+y9hKNFc5YbOY0D3oQ2e/V5XLr9jUAQA4ep8xEb9LpvCl8JsybVQkyF4f8iRw+ZGT4LRZ4pb0SuJ115XEKmVOlkTVRrH6yMhW4rHmGuUTadLbodm2e/qCJ7kKpxVOm0XT0TT5aqOaUpuqrorl1k92orSkuiTcYXc4wVRtqSQQPjlLhBBqX9P3eJGEe5EMz8jXaVBeW6GrWutPYTRAMmirjXz+gOo4atTjJVm0nWG1s73aNA3qUsGlGX5pdGzL8v1k9slYyKGMskUBELs9v+xVU1/hwJjQfr1Ht18n06TOZDKp77ZTY4rXko3hjIGAUB2jteZ01eslTqO6dZoyaS3akulYx2NbrxtD3gAsZlOUKT4elS6b6u591kFj8d8xhAsAzJ1YDQD4cGv8itSd3YMY8gZgs5gwvtoFh9WCmaFJ4tpmdcvXBadmL5ieXJQom1C8FAnattoldosK5cpW5TviiRfVgTP2Cb48xlyXZEmnVHrI61fRiERN6vKBFIa7NCcvbVMxIPY8HCPkTJiqErvqaxOr10t4KF3iBnXB9wyuhz8g4q7L3n4P7njuU3wcmp+jR5ZJy/XbpiuX7hrwqnEOjbHEi0EL+3ToUmXSmj4fuv1IVdgMs7uuRCuyt3QMwOMPwGWzYFwKFxc9TptFVYhoe3PIChyjIZGJ3g8Ibl+jztnDLZXuHvCqfUj7vWO155dCpb7coW5CtKXTPn9AjSuI1+cFCFc0tYbEhF68V8coOx8Obb1ueP0CFrMJDRohKculd8fp9bI+hng5ZtoYOG1m7OgaxNpdvUYvVVV946pdsFmSvxRbLWb811dn4/+dtC/uOfdAw75akoMnBMXLRwnEyxchkT6pthTW0LrsH0ozfbK9C0DwmPsw1JZjwXTj1F8uoXgpErQH8YWHTlB3IKlEXow6dkrUNNpsRV4MJvbKqIPdYo4rrPJFWLwMqjtNeaJW4iWFiFXXQDiSINN0sbrsdiUxC0ZLsq3Tl7y8Fn9asRX3vGrcgE5GXg6ZVAObxQSPP6DuSoFwg7q6MjscVmPBoDqlDrOEMqnIi2xSl7E+L+ELvxwLsG9D2bAbIxqNCEg78qIZfmnUOVv+O93IS4tGwGq3a6x9TLZJGFMejrxoI4raG5ZEx7n8vJ1dsSIvme+wu6Mr+H0bK5zqwi3/D8Tusuv2+VWJtb6BoctuUT2pVse4UdgaimpOqk29nP3CQyfghhOmxRUuAHDg+EpYzCbs7B6Ke42Q/Wa0M78OGCfFSzDy8s7GdvgDAvvUl6k0Uj6heCkSxpQFDySr2YQrj56sHpfhxu1xdkx51xNrNEDwueGNB+hJMm3U7/GroXcqZVRmT2oUfK5pKHfAbApO224PiYzwLJrg7xFr7IERquFaiTZtFCPykuREaS2JhjN+0daHpz4Mzt/ZsNv4blCKl4m1peoEtbVjQD0ve5PEiroAmZssvXcgWrxERV5U2ijzkRc5kDFWc7pUUBfdQe1FP1IIJ4vcvkNev2Hn7PJhjvqQKSOjC1S1mqFlJMKcariqNvIil61wWiPEgRHyu0nBrI88htPnXsMGiukg93l96qY+Qdroy7Z++AMC5U6rYQpVpho3thkfa1tCx9Wk2uwJgRK7FfuF0j/xUkdyptE+9VrxUgUA+HRHNwIBgTfWtwEAjiuAlBFA8VI0TKgtwY/PnIVfX3RwxITleAMEJYlGAwCxpz4nSzjNYfwZ2pkrMiTdHjrBJequmy+sFrPKe8s7wbbe9CIvQ16/upgH00bB13fE9LwEL3LJpo2C7xt/OOMvlq1XJr/dPW7DLqUybTSu2qXuCGV4G9BOk46dRinJ0IgAo0nElbrtnfnISzhCmGgsQCqoydID4c69MjqhrcpJhkSel4phTpaWAxnlPDEtVQbt+fdojokxBqJcRRENxh3oCaeNhkKfF3k+kdtRiMx12ZUp93G6IaMNyhzsQ79Bt9z1u4MN5mY0lhvefMkxEV9oJjVrkZGXiWlEXlIhGd+L9HZNrQ+vy7T6MjhtZvS6fdjU3o/l66XfJf8pI4Dipai49IhJUR0bpSN+x97EaaO4ht3QCc/jT25Csp5EaSOrxawm7coLT7JzjfKJvKOSnYD36MVLkp4XedGymE2ocFrVd44ZeUnRsAvEHxGwZns3XlrTCpMJ6nf4wuCOUN6FasXL1g6teAleVJrjRF6cGYu8hEcDSKI9L9mKvPjUWIB9GzMZeQmu994BD3wBAZMpdb9X2PPiN/SzDTvyogYyRgtU6T/qjpH+GqM8L+FohRoNkMSYi0SGXZtmSG2mfC87YkReyhxWJabaDIZNxjLrSvapD0VedhuLl82hSrbhtBNIhoND4iXeGBkZedGmjawWM2Y1B1NHj7+/De19bpTaLZg3qTqLa5s8FC9FjqyIaet1w+0zvlgYmfr0lNqtKU1I1uLxBcJRhTiRAn2KRbY2L0SzrqRZZ4jeo/MpGHl5jFDVFi4bTCaTijZ1D3oNZ6fIi1wig6OWeMMZZT+gMw9sViezDbqTqhBCI15K1El1izZtJOcaVSUReRmueDHwvOjFi7wjzrTnpc/tUxEn/aDFdFCzyUL7gbwY1pTYUzJrAuH28IMxIi+Vap9ML/LS0hncB5KJvLh9fvVbJIq8JDMdXTuCADAWPHJIbaz0aKrIY3usbp82mUzK99JqkDoKm3WN+5HIFExrz1BUlEgIMSzPSyrIyMtnO3sMfWhdAx71e00ZE7mvS9Puo//eCgA4ap+6mF63XEPxUuTUlNrVyWx3t3EKwsjUp8dsNqU0IVmLPDBNpsj0kB59akoKgUIsk5boK46iIi+h7+T2xY9Y6YcyVrlsSizq0zypTpSWyIt8W0/kifa9TR14a8MeWM0mfOekfTEtdFLV+166B72q+ksbedmiSRslKpMGtNVGxtujvc+dVDm3MuwaRF7kPq0iLxkSL9r9V/oZ5AVsOOiNpvr0YypEGHYNUsIVmlLpdMrmpXA2SufqPS/yeLBbzah02Qyrjbo0Xq9EqB42odU22v/1Q2pj8cTKFhx19+t4ac2uuMvFirwA4ZSe0XTpDSHxMiNG5KXSZVP7jj51tKfPjQGPH2ZT8EYhmzRXOtFY4YQ/ICLKniXa4ZBlupYD0rQr+04dF6PBYD6geClyTCaTusBu7xowXCYZzwuAlCYka5HipdxhjVuVoa8UCaeNCli8VEZ6iuRJTF50yuxWyHR3PI9B+AQePPGazSbV5Enf66XPk9pEaYk00f72rU1YvHQVtu8dgBACP3tlHQDggkPHY2JtacxcvIy61JU54LRZwmmjzgFVbbUrzkRpiTOO5+XZVTsw7yev4bzfrsDnoYF2sTC66EVFXqTnJUNpI5vFrMQBEPS7ZMJMXqlLG2krdFJFrt+A269KlrU3JvImJCAQ0XAwWQaVjyh6m4arpoLCQYn5MgdMJpOKvHQPelUkOJkeLxKX7jONUt3K22UQYdTy2L+3YUfXIK5/7CM8HTKq6xFCxIy8AJpeL7obgu5Br0ptxesBNE0da5E3CtIEP7baNezhpYkwmUxxfS9GKSOJNO1KCqG/i4TiZQQwVpVLG7vie1S1UQLxoiIv6YmXygR3VvpGdUXheZHbtnsIHl9A3XHKk7TZbAp7eeKIPqMTeKxeL3IKuMtmSan99sWHT8TZBwVbmz+7eieO//mbuP6xVfhoWxecNjNuPD444kBWz+gjL1qzLgDVZdPjC2BXzxCEECp8Hi/yIqcoDxhEomTZ6Adb9uL0/3sbdzz3aYR/QkunQbWRXgCraqMMdlvVCoFM+F2A6FLpcG+U1KM6Lk1qRUYotDcmTpsZNktQcKVTLi2jWXohAWhN4cYRJG0DNblfp1I5pxdMRoInmUZ1Q14/PtsZjDIEBPD/nvwYf3lva9RyXQNe9X2bDcRLOG0UeYMhj53mSmfcG4x9VJQz8kZBpiSznTKSKN9LXPESvS5T6krV+W1GY3ncm5ZcQ/EyAlCN6gxMuz5/QKUCEvVYSKXhmpZEZdLq/V16w27he17GavroyJ4sVrMp8oKqwvTxm8MBwe66ElVxpOv1IrvaxitHNqLSZcMvzp+DF244GodPqYHHF8CLoZD55UdOVqWf8oSqrzjSmnWBoGFP+h62tvejo98Djz8Akyl8R2qEyx48rQwZ3PXLO/axVS4EBPCnFVtx/M+X4/mPd0YsJ0Q4dVZjZNgd0FcbZS4PrxUC+9YP3+8CaCNGIc+LpittqkhBK5un2a3mCJFrMqWfAgbCETOjbao3het71ZjNJrVfy5uTLgMRGguXToQanVOSaVS3Zkc3vH6BujIHLj9yEgDgP5/9FL9768uI5WTURUYb9ahyaV3aSJp1E4nbcLl0pHjJld9FoiIv2/ZGdEcGtJVG0fu62WzC7LFBT0+hVBlJKF5GAPEa1fVpSvziNakLPp+c+VRPokojibwoFFPaSEYY9vS6lTisK3NEpMeSKZfeq0sbAcG5RQDQ3ht5Ev4slE7Zrzm9waKzx1bi8asPxx8unYcZjeWYVl+GazRDBSucNvW9tOFsrVlXMqkuVC7d0a96vNSVOeKGuuUFaMBAvMjtsPjEaXjsqsMwrb4MHf0eLF66SvUXAYL7rdcfPMlGRl5CZcBuH7z+gMrF63P1w0EbocxY5EXnedEbv1NBpo1k8zSjdHAq/Yf0yN9NRtC0yGoj/ffQpr/0vV7CnaXTiLwYpY10ZedGyPTI3IlVuOOM/XDdgqkAgJ++tA7ff/oTvPb5buzt96hoY6z2/LJcWu8jW98aPEZjVRpJpL/sC12UU5rgJ2axx4uW/Zoq4LCa0TXgVY31JEYN6rTcePw0LNyvAVekOeQzWxReW1OSMvFGBMg7L5fNkjC3mm6jumTFi9Zs6fUH1MmnkNNGNaV2OKxmuH0BZXbT+xSSuVAYpY3kEMB2XeTl01C4e3Zz/Cmw8TCZTDhxvwacuJ/xULh96suwq3sIG3b3Ye7EYCdQfdoICJ9ct3YMqFRZvDJpIH6TOm3juSP3qcNLNx2Drz2wAh+3dOGdL9px4aETAIQvTE6bOSJ9oe3zofUhZMrzAkRGKDPR4wWI9uq0pTkaAIhMGwHGRnx5LKeaNgoEhPrdjNNGkdVGRiMO9F12U/G8RKeNjDwv0b1m9ITFSzVMJhNuXTQDpQ4r/ucf67H0gxYs/aAl4v31PV4kKm0UJV7im3Ul00Ll0ju7h9A75FU3kFtynDayW804cHwV3t/ciY+27lXRV7fPr/r67BMjynjkPnU4cp+6nKxnKjDyMgKIF3lJptJIEm8mihACL3yyU+VHtSRqUKfeX1NtJCtJzKbkTmr5wmQyKXH4cWjGh/5uOZkGf0bm09oYnhdpZJ2VZuQlGVQ4W5OL16eNAGCyjLy09ydl1gXil0rv1TUss1nMqmPnu192qOWMRgMAgMManhMkPV5Wswn2FMuN4yF/z9pSe8YaKGr7vAghwumWNNJGUhwa+V0k4ShqammjIU27BWPDbhKRFzmcMfRc92D0vh8Lly51YxQtVr1mYkQ6hRDK2yHTJQDw7eP2wYOXz8P588Yrf4f8HkYpE0Br2A1XyH2wpRMrQ++//9iquN+nssSmzhfSIB8sk85NjxctclssW7tbdSeWs8vKHNa0ooD5hJGXEYC82OzoGoQQIqI6ItlKIyB+tdHqli5c/9gqHDi+Cs99+6iI58KRl/giRN7Rdg961YmtptSRcD5HvmmqcmJTe78aZhgdeUkcsYpv2A1HXnqHvMrMl13xEjxZy9bl+h4vkomaRnVTQif8RF6ceKXS0oysvZAdObUO9762ESu+bFf7r5FZV1LpsmHI61bdfkvsloyOl5C/53AmSeuRv7vHF0x1aat0UkXvzTAy4mvLpVNBm+rTCwkg/Hv0uX3w+AKG85nk8SE9bUZjHmKh7ddT4bQanhuk+TlW5GVrxwA6+j2wa5qsSY6f0YDjZwSjkZ39Hny4dS92dg3iqyGjux75XTy+ALoHvXBYLbj1qU8gBHDevHExoxVapjWUoa3XjY1tfThoQjU6+j3oc/tgMhmPYMgWx02vx/3Lv8Syz3fjwt+9h/+9YI4SVFPHlBbkiJZ4MPIyAmiocMJkCvYakY3fJMl015XEqzbaFMqLrm/tiTJ8pZM2KoZKI0lzKNIg89RR4iWJRnWGkZdSadgN/2ZyAm1TpTOrYxP03T/1PV4kk5V4GVCeH9kYMRaxOux6fAFV2qs14c4ZXwWnzYz2Po8yNoZbykfvU3I/kpGg0gz6XYCwONt/XPppOz2ldouqwtnRNaBEQlqRF305sYERX0VeUjTfS8HptJkN2x5UuGyqNYD2JiRW5GXI61e+pETViEBk+i9WRDbRcEaZMpo9tiJutV5NqR0n7deAy46cFPPc5bRZ1DHb2jOEn7+6Hpvb+9FY4cTtp+2X8PsA4dSRFArSrNtc6cppw7dDJ9fgf88/EKV2C97f0olT7n0Lj72/DUBsv0shQ/EyArBbzWgI5Zz1FUdG7cNjEfa8RJ/wZM53yBuIapWdtGFXY2yVd2Xp9LnINfpuslFpoxQiL9qGa7KhV7tme8ryTv0dY6aR/Sdk9099jxdJc5UTVrMJbl9AlTknnTbSRV7kUEKzKTISaLea1QTed79oBxDuEhwr8gKERzZkstIIAC45YiJ+etb+uHb+1Iy9p8lkUhddWTYbbD+fuvDSR0TiRV5S9a8ps26M9bKYTWr77x3whI3HFdGRlz19biUwrGaTausfjxJbtL9JjyqVjiVeQm3w54X2qeEiU0cvr2nFH/+1GQCw5Oz9k+7BJI81WV6dq7EARpx10Di8dNMxOHB8FXqGfHh7Y/B4i5U2K2QoXkYIzTEGNKYWeZED3aJPClpz5BbNrBsghVJpTSl2RxFUGknG6iINesGVyF/gDwgl8KoiIi+haqN+j8qnf7oj+34XIPhbhLt/9hqadYFgufSEUGhbCpx4PV6AcGRAH3nReqP0d/VHTg0aAqXvJV55rdzPdmYp8lLhtOGiwyYkNUgwFeR6y4tYuh6DKPFiVG2U5qBV2T7eKGUkkb/Jpj398IWisNrjWJVK97ojOksnk5bQiqZY1UkyEiJTV3qk3+XgCZmZwSPLpX/1+kYIAZxz8LiUOs1O00U5czWQMRYTa0vx1DVH4Prj9lFRtETG40KE4mWEMDbkU9BXHK3a1gUg+qJkRLySX+1sj6068ZJ85CXseZFpo9oMXyCygT7SEJ02in+X2zPoDbc71/iCpGHX4wv34pGRl9ljsxt5AcJ3hBt39xmadSX6cs54c42A2J4Xo3b/kiOn1gIIjjLwB0TcZStU2ig7kZdsISMG8iKWbtTRaY88bRuZ8cvTLJWO1+NFEo4gBUVYTWnkfKYxslS6Lyxeko1SaFNisW64yp2RqSstPUNerA+t18ETq5L6zEQ0hqJKQgQF5w9PTy5dJJHl0ju6BtHv9qn08+Q8iRcgaJS/5eTpeOqaI3HHGfsVXA+XZKB4GSHIyItWvAx6/HhjfRsAYOF+jYav0xKvSZ028iLDnpJUPS8eXyDcHKoI0kb6zpv68tZEnYnlCbzMYY0oVy+xh6fWdvR5MOT1K89HtiMvQPiOcEOEeIkOZcteL0Aw5ZMoYqCNvGj9UfGiKbOaK1DutKJnyIfPd/bEnYcjt7fsO5PJ7rrZRFbqSJN02uIlmchLEo0TjRhIRrwkiCCNKXOqz5bN+JIdMKr93FhTqLWpK32jutXbuiAEMKGmJK0ydCO0DRl/etb+SXl3tFSX2pW374u2Pk3kJfdpIz1zJ1bjiqMmF3zRhBEULyOEsQbl0m9u2IMBjx9jq1xqwFY84hlPtX0O0o28aCdXSwNwMaSN9AZV/TqrxmkxLhT6oYxaVLl0vxsbdvfCHxCoKbUnTM1kAm3FUay0ERDZi2JMuSPhFGTtBcitCet3GlQaSawWMw6bHIy+vPtlu4q81BhEXuR+Jo3OJRlOG2ULedGT1WTpXlyT8byk23ByIE6PF0l1gghShcuqStelUEu2HUKEeIkjElTJtu77fWhQIj1cZPrpvHnjYvZNSkT4RqE3PBqgLn+Rl5EAxcsIwahR3cufBlvDL5rdmFS+WfZU0E9I9vkDEVNiZdgzuKxfeRsSiRft5Gp5ABdDtVGJ3apOpOUOq0G1R/y0kewwanQhDrdS90T4XXJRtjhN0+slXtpIe5JNZraJU1NBIT0UQOKSWZk6evfLjrjL6vezsgw2qMsmMmUoOwenU2kEBEP+Vm2HZwMzfrpN6uRQxnjRLClENrUbixeTyaSOaylwkunxAsCwIaER8liS7QskH4XMugdnULwsmD4GK247Hv99zgFpv4dM0X6wpVPd5EzIYZn0SITiZYTQrBvO6Pb58c+1wZTRqfsnThkBwQuz0YTk9j4PtNXRWzv6lcFURl1MpvDdXjzkCUnekRdD5AUIX7SNQv2VCcyR8TqM1momS+eq0kgie1S09gypluGGaSNNeDtRmTQQFKmOUHpMa9rtMqi40nLkPkHx8v7mTiWWkxEv6VTs5AN9JGE4TcG00Ze4kZcU00b97mQiL8HPkyLM6JiQ6WCZBk1mNAAA2C1mlcKoitM36sw5wb4s97y6XpUg+wNCefzmZsisCwTFWFOla1g3FNL3Is/JzZXOlIaukmgoXkYIcjZHZ78HAx4f3tnYjj63Dw0VDhw0PrkDOdaEZGmMrCsLNpQb8PjVxUXbBM+oL4QevbmwWMSLrDgyOlHLyMug129Y/RDPv6GdLP1pDjrraql0hSuO5HobRV7GVrnUnX6yU2WNyqU7E8y42be+HLWldgx6/SolFK/Pi6S0aAy7evGSfmrQqTW2xvG8pJo2kmIzrudFJz6NvodsvidTzMmmjUwmk/rseN6SSw6fiGOm1WHIG8Div66CxxfAht296HP7UGq3JJw5lGtklFPu1/mqNBpJULyMECqcNtVHYWfXEF7+tBUAsGhWY1KiQvs+QORJT5p1x1W7VHpKpo6S9bvo319SWwRpIyAc2TISL2WaiJNRmD5eCkR+/909Q1i3KyheclFpJJHhbCD2ZF2rxaw6gSbrxTGab6SmRMe4kJnNJhweSh1JDCMvuota0XhedMdIumkjQB95iZ02cvsCcPuiOx3HYkBN6Y6TNtJ/D6PIS0i8yIhtsobd4GeHxEucc4rZbMI95x6IqhIbPt3Rg/99bYPyuxw0obrgDKjTdH1U8tHjZaRB8TKCkNGXrR39ePWzoHg5Zf+mlN7DqFGdLJNurHAqh7wcLDYc8VJVYkto/iwUpAFwzviqqOcsmgZcRmF6OUnZ0LAbShu9v7kTbl8AZQ4rJuYwFy6NhED8cvqDQt872UnXLoPISzID+o7UiBe71WwYASjeyEvk905nNIAkQrwYRF60U7ZTqTiS1UbJGHYlRoJe/1iyaSMAOP2AZkyrL0so4hsqnLj77P0BAA+8+SUeeW8rgMz6XTJFbZkjwvPGyMvwKY5bFpIUzVUurGvtxVMfbkfPkA91ZXbVuTRZKgyqFFpD5Y6NlU74AwJvb2xXjepSFS/a5YolZQQEc+yHT6mN6VMod1rR6/YZhunjlQjLyIv0BuzXVJFSpGy47KuJvMQTLz85azauPGYy9mtKTbwMeLXiJfGAPtmsTi5n5DMoWs+LZr3tFnNKF3Q9Mm1kt5oNo2VSUPe6fegd8iV9rKk+L3H8GMl4d/RG/FS+63+m0Edl0ewmnDdvHJ5YuR3rQpOeM1lplEmm1Zfh35s7AeRumvRIpjhue0lSyJTOP0JRl4WzGlMOnxo1XJNpo8ZKp6o8kVNRu5OcKB1+//CFphgqjbQEZ0gZb894jerilUrr776TjWxkimkR4iV2xKfEbsWs5sqkTYsyMjBkEHkxqrqSTKotQXMoNRUr1aCPNJQWS7WR5vcfU+4YlgHUFZqsHW/gajrl0klFXkqTibxEphdTSRulyh1nzFIRYZPJODpaCGiPNaaNhg/FywhC+jJknvnU2amljACt58U4bSQrTzartFFodlIaaaNsDh7MNUbbTRI27BpFXiK3QS79LkB4QCOQXBfmZHGFoiHyYhg5IiH2hcxkMuGIUPQl1gXPaTOrPiJAMUVewt9nuDO9pDg08rtIwuXSqaeN4m1TbeTMZbNEpKgkw4m8pEqpw4r/PX8OnDYzjphSm/SNVK7RpmhZJj18KF5GEGM1F5/qEhsOm5L6YLJww7XoyEtDhVPlamW5tBy2l3TaSHv3OZLEiyu6SkuSjGFXkqtKI4m24iij4sUWWSrdrR2RkOBCdlKoEZj2TlWLyWSKEMvFEnkpd4ZbEQynTBoIR0biRV7SGc446JWG3djb1GWzKPEYK4KkF2fZjLwAwUZy737/BDx0xSFZ/ZzhICugmiqdRSO4CxluwRGEdoDgSfs1pGWG1Z/whBCqu25jpRPNVU6YTUC/x4/2Po/hwMFk3h8ovrRRPGKVpgohVJM6o21UXWKHyRScm2K3mlXvlVxy66LpeGdjO47QVfoMB3lylh4KKeDKndaE++XJsxrw0o3HxN0WlS6rmo9VLBcCs9mECqcN3YPeYUdenCrykvu0kZyQ3dbrjinCtGM/nDZjX06miZeOLAQOnVSDaxdMVeZ3MjyK46gnSTG2KhyKTLXKSKKfkNzr9qkTWmOFEw6rBc1VLmzfO4gtHf1JT5SWRHpeRlLkxThEP+Dxw+MP9lAxOrlazCbUlNjR0e/BjMbyvFRfnX3wOJx98LiMvqdTVyq9tz9+d10tJpMpofdHu78Vy2wjIChguwe9w567o8RLnMaQ6aSNkhnMCAR/x7Zed8xy73KHFQ6rGW5fIOtRl2LBbDbhe4tm5Hs1RgxMG40g6ssdOGBcJWY0luMoTdVGKuiNp7tDfpcKZ7gtvnTKb2nvHzXVRomoiDHFV0Yc7Bbjsl8gnDrKVWfdXFBi14kX6fvJ0N1xZRGmjYBwxdFwerwAWs9LEpGXFNJGyQxmBMJRxFip3+CIgOBzhepBIcUNxcsIwmw24fnrj8ZLNx4TMb04FfTpD23KSCKd/Vs7BobV56VYGtQlgxJ9uhB9l6bHS6zqEjm1dvbY3PpdsolqUqdLGyU74yYRkeKleCIvR0+rg8tmwSGThlfOe3CoEVu890lnsrRKG9nib1MZTYmX/pLPMfJCskHxHPUkaYbTJyRsPA2e8GSlkXYs/ORQufSWjtQjLxUjNvIS3dwPSDyMEAAWn7gvpo4pw1dD81pGAvomdamkjZJB7m9mE9QcpWLguyfPwOIT9x12evC0A5pwwsz6uF4SeSx3p+B5GfQkNuwCwFcPGoutnQNYOCv23DR5fBuNeCBkuFC8kAiiIi+aMmmJrDhKR7xUldhUR9ThmhYLiVjmyHjddSVzJ1YXbGOtdJGRlwF92ihD4kWK4FK7NScTuDNJpnxNiUyw0lezfe9A3OUkQgj1eyUSL4tmN2LR7PgDX+XxXRlnwCIh6ULxQiKo1HlejNJGstfLl239GPIGzajJ9nlxWC14/JuHwwTTiJqqGqtJXbzuuiMZfeSlK0tpo5Ii8rvkGlmau661F0KIhCLP7QuocvZ41UbJcsikajz+/jYcPKFq2O9FiB6KFxKBjLwMeYMD3bQ9XiTja0pgMoXNmCYT1GyfZDhgXFXmVrhAiNWkTpZJj7bQediwG9wenaG0kX4icbpoIy/EmKljymA1m9A75MPO7iHVgTsWA5puyJkoPz/74HE4YWYDDbskKxRPspjkhMgJyT4VedFOE3baLGiuDJ8IK122nM7jKURiNalLZhjhSMRp00degtsl1kTpVJHvUxanVHi0o+0bJCeWx0NOlLZbzRmbykzhQrIFxQuJIGJC8qAXrd3BRmDayAsQrjgCeIICwpGXAY8f3lBfFyDz6ZJiIRx5CW6LTFcbHbVPHb46pxnXLZiakfcbqczQpI4SkWyPF0IKAYoXEoUMye8d8KCjPzxRWot2pDvFS9iwC0SWpnYqw+7oiryES6WD2yLTESiX3YJ7LzgIi9KY3zWamBGaAr42qchL4onShBQKFC8kCnkh/qKtD0IANospKtw/uY6RFy1Wi1lVUWnnQmW6RLhY0HbYFUKoaqNCb+E+0kgl8pLMaABCCgWKFxKFTIFs2N0HIFhyqfe0aCMvyVYajXTCjeqC0YbPdnbj053dAIApY0pjvm4kIlMPAx4/eoZ88IdGnWdzujCJZmYo8rJpTx+GvP64y0pzdTE1/SOjF4oXEoU0n27YHbxb06eMgPCIAICRF4l+qOV/v7IeQgCnH9CEqWNyP3Axn8i79yGvX/l+SuyWEVUeXwzUlztQVWJDQAQjqfHod8vuuvyNSOFD8UKikBfhjaHIS2NFtHiZUMO0kR5to7p/fdGOtzbsgdVswndPnp7nNcs9JaH28l6/wJ7eoG9qtKXOCgGTyaRSR4l8LzTskmKC4oVEIdMfrQY9XiQuu0WVT1O8BJHbrWvQi7tfXgcA+PphEyJSbKMFpz18atkZ6tLMlFF+mNEYTB2tT+B7GVCjAZg2IoUPxQuJokLXO6Ox0riNv0wdZap3R7Ejt9vSD1qwZkc3Su0W3HDCtDyvVX6wW8K9QnZ2DQKgWTdfzGxKzrQrRwPQsEuKAUpsEoXegGsUeQGAG07YB01VTpy0X0MuVqvgkdvt45YuAMC35k8dUcMnU8FkMsFls6DP7VPiZbSVixcKMvKyrpVpIzJyoHghUUjPi6Sp0rit+JFT63Dk1LpcrFJRoN1udWUOXHn05DyuTf5x6sTLaGvUVyjs21AOkwlo7/NgT6875kBUlkqTYoJpIxKFrDaSGBl2STTa7bb4xGmjvuRU3sHv7Ap6XmjYzQ8uuwWTQyneeNGXcJO60b3fkuKA4oVEoY+81FeMztRHqtSXB0XelLpSnH/I+DyvTf6RJbc7uxl5yTczpO9lV2zfy6Ay7DLyQgofSmwSRblGvFSX2NibI0kWzW7Ed7um45TZjbBZeF8g0w9yKGM1Dbt5Y0ZjBV5a04q1SURemDYixQDFC4lCm/6IZdYl0ThtFnz7uH3yvRoFg77ZGdNG+UONCYgXefHSsEuKB94ekii0aSOj7rqEJIP+Dp7iJX/IiqMv2voipp5rGWC1ESkiKF5IFNoJyTTrknTRixc2qcsf46pdKLVb4PEHsKW933CZcNqIAXlS+FC8kCi0E5KZNiLpok8bsUld/jCbTZguxwTEaFZHwy4pJiheiCGy4RrTRiRdtBdBu8XMi2KemRGaML0uxowjFXmhQZ8UARQvxJDasuBd8tgq4wZ1hCRCexGsLrXBZDLlcW3IzMb4YwLYYZcUE0xuEkN+cOpMrPiyA0dOrc33qpAiRet5oVk3/8SLvAgh1GwjDmYkxQD3UmIIW/+T4aKNvNCsm3+k52Vn9xC6B7yo1PwmHn8A/oAAwD4vpDhg2ogQkhW0F0GadfNPhdOG5pCH7Ys9fRHPyZQRwLQRKQ4oXgghWSEy8kLxUgjUh6oH2/vcEY9Ls67NYmJ3aFIUcC8lhGSFSM8L00aFQF1ZcE5ZR58n4nFWGpFiI6viZe/evbjkkktQWVmJyspKXHLJJejq6or7mssvvxwmkyni7/DDD8/mahJCskAJDbsFR12oilAfeQlXGtEGSYqDrO6pF110EbZv345XXnkFAPDNb34Tl1xyCf7+97/Hfd2iRYvw0EMPqf/b7TzxEVJsaAd6UrwUBuHIiz5tFGpQ52DkhRQHWRMva9euxSuvvIL33nsPhx12GADg97//PY444gisX78e06dPj/lah8OBxsbGbK0aISQHaO/iq0uZNioEalXkxThtRLMuKRayljZasWIFKisrlXABgMMPPxyVlZV499134752+fLlqK+vx7777ourr74abW1tMZd1u93o6emJ+COE5B8XIy8Fh4y8xDLsltiYNiLFQdbES2trK+rr66Mer6+vR2tra8zXnXLKKXj00Ufx+uuv4+c//zk++OADHH/88XC73YbLL1myRHlqKisrMX78+Ix9B0JI+lC8FB61MTwvMm3EHi+kWEhZvPzoRz+KMtTq/1auXAkAhu3AhRBx24Sff/75OO200zB79mycccYZePnll7Fhwwa8+OKLhsvfdttt6O7uVn8tLS2pfiVCSBZgh93CQ3le+iPTRoNepo1IcZFyjPD666/HBRdcEHeZSZMm4ZNPPsHu3bujntuzZw8aGhqS/rympiZMnDgRGzduNHze4XDA4XAk/X6EkNxQXWLD5LpSOKxmVLiYjigEpHjpGvDC6w+oni6qVJrihRQJKZ9R6urqUFeXuG38EUccge7ubrz//vs49NBDAQD//ve/0d3djSOPPDLpz+vo6EBLSwuamppSXVVCSB6xWsz4x+JjYTYZR2FJ7qly2WAxm+APCHT2e9AQalpHwy4pNrLmeZk5cyYWLVqEq6++Gu+99x7ee+89XH311Tj99NMjKo1mzJiBZ555BgDQ19eHW265BStWrMCWLVuwfPlynHHGGairq8NZZ52VrVUlhGQJu9UMKzu2Fgxms0mNatD6XgZlqTT7vJAiIatnlUcffRT7778/Fi5ciIULF+KAAw7AX/7yl4hl1q9fj+7ubgCAxWLBmjVrcOaZZ2LffffFZZddhn333RcrVqxAeXl5NleVEEJGBbWl0eXS7LBLio2syuyamho88sgjcZcRQqh/u1wu/OMf/8jmKhFCyKgm6HvpjWhUN8i0ESkyGM8lhJBRhBwR0GEQeaF4IcUCxQshhIwiag0a1Q14ZbURPS+kOKB4IYSQUUS4y2448hI27DLyQooDihdCCBlFGHXZZZ8XUmxQvBBCyChijOqya2DYZbURKRIoXgghZBShIi+9RoZdel5IcUDxQggho4haTeRFtqrgYEZSbFC8EELIKEI2qfP6BXqGgqKFgxlJsUHxQgghowinzYJyRzA91N7nhtcfgNcfjMBQvJBigeKFEEJGGXXlodRRn0f5XQCmjUjxQPFCCCGjjFrNcEZZaWQxm2DnEE1SJHBPJYSQUUatGhHgVmbdErsFJpMpn6tFSNJQvBBCyChDdtndo0kb0e9CigmKF0IIGWWocuk+N3u8kKKE4oUQQkYZYzSTpVWPF3bXJUUExQshhIwytJOlB5k2IkUIxQshhIwy6lSXXQ+HMpKihOKFEEJGGeH5Rm4MsLsuKUIoXgghZJRRVxqMvPS6fegeCA5opGGXFBMUL4QQMsqocFlhswR7urR0DgJg2ogUFxQvhBAyyjCZTKgNRV9a9g4AAEpYbUSKCIoXQggZhdSVB30v2zpD4oWRF1JEULwQQsgoREZednUPAQBc9LyQIoLihRBCRiGy4sgfEAAYeSHFBcULIYSMQsaEer1IaNglxQTFCyGEjEJk5EXCyAspJiheCCFkFFKni7xQvJBiguKFEEJGIbX6tJGNhl1SPFC8EELIKKSOaSNSxFC8EELIKIRpI1LMULwQQsgopKY0MvLCaiNSTFC8EELIKMRmMaOqxKb+z8GMpJigeCGEkFFKrSb6wrQRKSYoXgghZJQifS9mE+Cw8nJAigfurYQQMkqR4qXEboXJZMrz2hCSPBQvhBAySpFddmnWJcUGxQshhIxSwpEXihdSXFC8EELIKEVFXmwUL6S4oHghhJBRyvjqEgDRDesIKXRY2E8IIaOUo/apw11nzcZhk2vyvSqEpATFCyGEjFIsZhO+ftjEfK8GISnDtBEhhBBCigqKF0IIIYQUFRQvhBBCCCkqKF4IIYQQUlRQvBBCCCGkqKB4IYQQQkhRQfFCCCGEkKKC4oUQQgghRQXFCyGEEEKKCooXQgghhBQVFC+EEEIIKSooXgghhBBSVFC8EEIIIaSoGHFTpYUQAICenp48rwkhhBBCkkVet+V1PB4jTrz09vYCAMaPH5/nNSGEEEJIqvT29qKysjLuMiaRjMQpIgKBAHbu3Iny8nKYTKaMvndPTw/Gjx+PlpYWVFRUZPS9SSTc1rmD2zp3cFvnDm7r3JGpbS2EQG9vL5qbm2E2x3e1jLjIi9lsxrhx47L6GRUVFTwYcgS3de7gts4d3Na5g9s6d2RiWyeKuEho2CWEEEJIUUHxQgghhJCiguIlBRwOB+644w44HI58r8qIh9s6d3Bb5w5u69zBbZ078rGtR5xhlxBCCCEjG0ZeCCGEEFJUULwQQgghpKigeCGEEEJIUUHxQgghhJCiguKFEEIIIUUFxUuS3HfffZg8eTKcTifmzp2Lt99+O9+rVPQsWbIEhxxyCMrLy1FfX4+vfvWrWL9+fcQyQgj86Ec/QnNzM1wuFxYsWIDPPvssT2s8cliyZAlMJhMWL16sHuO2zhw7duzAxRdfjNraWpSUlGDOnDn48MMP1fPc1pnD5/PhP/7jPzB58mS4XC5MmTIFP/7xjxEIBNQy3N7p8dZbb+GMM85Ac3MzTCYTnn322Yjnk9mubrcbN9xwA+rq6lBaWoqvfOUr2L59+/BXTpCELF26VNhsNvH73/9efP755+Kmm24SpaWlYuvWrfletaLm5JNPFg899JD49NNPxerVq8Vpp50mJkyYIPr6+tQyd999tygvLxdPP/20WLNmjTj//PNFU1OT6OnpyeOaFzfvv/++mDRpkjjggAPETTfdpB7nts4MnZ2dYuLEieLyyy8X//73v8XmzZvFa6+9Jr744gu1DLd15vjJT34iamtrxQsvvCA2b94snnzySVFWVibuvfdetQy3d3q89NJL4vbbbxdPP/20ACCeeeaZiOeT2a7XXHONGDt2rFi2bJn46KOPxHHHHScOPPBA4fP5hrVuFC9JcOihh4prrrkm4rEZM2aI73//+3lao5FJW1ubACDefPNNIYQQgUBANDY2irvvvlstMzQ0JCorK8UDDzyQr9Usanp7e8W0adPEsmXLxPz585V44bbOHN/73vfE0UcfHfN5buvMctppp4lvfOMbEY+dffbZ4uKLLxZCcHtnCr14SWa7dnV1CZvNJpYuXaqW2bFjhzCbzeKVV14Z1vowbZQAj8eDDz/8EAsXLox4fOHChXj33XfztFYjk+7ubgBATU0NAGDz5s1obW2N2PYOhwPz58/ntk+Tb3/72zjttNNw4oknRjzObZ05nn/+ecybNw/nnnsu6uvrcdBBB+H3v/+9ep7bOrMcffTR+Oc//4kNGzYAAD7++GO88847OPXUUwFwe2eLZLbrhx9+CK/XG7FMc3MzZs+ePextP+KmSmea9vZ2+P1+NDQ0RDze0NCA1tbWPK3VyEMIgZtvvhlHH300Zs+eDQBq+xpt+61bt+Z8HYudpUuX4qOPPsIHH3wQ9Ry3debYtGkT7r//ftx88834wQ9+gPfffx833ngjHA4HLr30Um7rDPO9730P3d3dmDFjBiwWC/x+P+666y5ceOGFALhvZ4tktmtrayvsdjuqq6ujlhnu9ZPiJUlMJlPE/4UQUY+R9Ln++uvxySef4J133ol6jtt++LS0tOCmm27Cq6++CqfTGXM5buvhEwgEMG/ePPz0pz8FABx00EH47LPPcP/99+PSSy9Vy3FbZ4a//vWveOSRR/DYY49h1qxZWL16NRYvXozm5mZcdtllajlu7+yQznbNxLZn2igBdXV1sFgsUSqxra0tSnGS9Ljhhhvw/PPP44033sC4cePU442NjQDAbZ8BPvzwQ7S1tWHu3LmwWq2wWq1488038atf/QpWq1VtT27r4dPU1IT99tsv4rGZM2di27ZtALhfZ5rvfve7+P73v48LLrgA+++/Py655BJ85zvfwZIlSwBwe2eLZLZrY2MjPB4P9u7dG3OZdKF4SYDdbsfcuXOxbNmyiMeXLVuGI488Mk9rNTIQQuD666/H3/72N7z++uuYPHlyxPOTJ09GY2NjxLb3eDx48803ue1T5IQTTsCaNWuwevVq9Tdv3jx8/etfx+rVqzFlyhRu6wxx1FFHRZX8b9iwARMnTgTA/TrTDAwMwGyOvJRZLBZVKs3tnR2S2a5z586FzWaLWGbXrl349NNPh7/th2X3HSXIUuk//vGP4vPPPxeLFy8WpaWlYsuWLfletaLm2muvFZWVlWL58uVi165d6m9gYEAtc/fdd4vKykrxt7/9TaxZs0ZceOGFLHHMENpqIyG4rTPF+++/L6xWq7jrrrvExo0bxaOPPipKSkrEI488opbhts4cl112mRg7dqwqlf7b3/4m6urqxK233qqW4fZOj97eXrFq1SqxatUqAUD84he/EKtWrVJtQpLZrtdcc40YN26ceO2118RHH30kjj/+eJZK55Lf/OY3YuLEicJut4uDDz5YlfOS9AFg+PfQQw+pZQKBgLjjjjtEY2OjcDgc4thjjxVr1qzJ30qPIPTihds6c/z9738Xs2fPFg6HQ8yYMUP87ne/i3ie2zpz9PT0iJtuuklMmDBBOJ1OMWXKFHH77bcLt9utluH2To833njD8Bx92WWXCSGS266Dg4Pi+uuvFzU1NcLlconTTz9dbNu2bdjrZhJCiOHFbgghhBBCcgc9L4QQQggpKiheCCGEEFJUULwQQgghpKigeCGEEEJIUUHxQgghhJCiguKFEEIIIUUFxQshhBBCigqKF0IIIYQUFRQvhBBCCCkqKF4IIYQQUlRQvBBCCCGkqPj/wt6HSs1l9LAAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "temp = 800\n", + "\n", + "plt.title(f'Relaxed stress - {temp}K (strain 0.005)')\n", + "plt.plot(np.array(tensor_dict_s_0d005[temp]['relaxed_dict_C11']['pressure'][:,0,0])/(10**4))\n", + "\n", + "mean_run = np.mean(np.array(tensor_dict_s_0d005[temp]['relaxed_dict_C11']['pressure'][20:,0,0])/(10**4), axis = 0)\n", + "plt.axhline(mean_run)\n", + "mean_run\n", + "# plt.ylim([-2500, 6000])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7ca030f5", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "atomistics", + "language": "python", + "name": "dev-atomistics" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_10-09-25.ipynb b/hackathon/elastic_constants/MD/MD_10-09-25.ipynb new file mode 100644 index 0000000..d5e7e9c --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_10-09-25.ipynb @@ -0,0 +1,4461 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " analyse_structures_helper,\n", + " generate_structures_helper,\n", + ")\n", + "\n", + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name\n", + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_npt_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_nvt_with_lammpslib" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True)\n", + "len(unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1007230a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "500" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5)\n", + "len(repeated_unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict = None) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There is at least one non-excluded one OpenFabrics device found,\n", + "but there are no active ports detected (or Open MPI was unable to use\n", + "them). This is most certainly not what you wanted. Check your\n", + "cables, subnet manager configuration, etc. The openib BTL will be\n", + "ignored for this job.\n", + "\n", + " Local host: cmti001\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(unit_cell, potential_name_str, lmp_optimizer_kwargs)\n", + "relaxed_unit_cell" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(structure, potential)\n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "3.61500008107858" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(unit_cell, potential_name_str) # optional argument lmp_optimizer_kwargs\n", + "a_0" + ] + }, + { + "cell_type": "markdown", + "id": "a5c7184f", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "fe7f9a37", + "metadata": {}, + "source": [ + "### The old way" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "fc5abe51", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation_old(structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " elastic_constant : str, \n", + " deformation_gradient : np.array, \n", + " strain : float) -> float:\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_static_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe)\n", + " strained_dict = calc_static_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + " # print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + " diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " #return diff, constant\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "085147e6", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_old(structure : Atoms, potential : str, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + " \n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation_old(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d69ed63f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "strain_list = [0.005, -0.005, 0.0005, -0.0005, 0.0004, -0.0004, 0.0003, -0.0003, 0.0001, -0.0001]\n", + "elastic_constants_old = {}\n", + "for strain in strain_list:\n", + " elastic_constants_old[strain] = calculate_elastic_constants_old(structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " strain=strain)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "71cc73fa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{0.005: [1692164.6750272135, 1214497.7228949314, 762691.2007684121],\n", + " -0.005: [1710790.6463856378, 1247922.3801806667, 762691.2007684069],\n", + " 0.0005: [1697853.2932338533, 1224662.659686236, 761904.8651709246],\n", + " -0.0005: [1699856.6833791414, 1227964.3387871818, 761904.865170909],\n", + " 0.0004: [1698002.119256038, 1224858.4015360293, 761903.2505709308],\n", + " -0.0004: [1699647.353066269, 1227541.5719992353, 761903.2505709392],\n", + " 0.0003: [1698180.0334696264, 1225068.265620764, 761902.0532181964],\n", + " -0.0003: [1699438.2221923887, 1227152.3992523046, 761902.0532182545],\n", + " 0.0001: [1698602.3751587172, 1225666.2585527708, 761899.9945214274],\n", + " -0.0001: [1699020.04986783, 1226418.0480321562, 761899.9945215051]}" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_old" + ] + }, + { + "cell_type": "markdown", + "id": "02d8b319", + "metadata": {}, + "source": [ + "### The new way - modular" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "70269f40", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(structure : Atoms, strain : float = 0.005):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "c80b5eb1", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(stress_tensor_dict : dict, strain : float):\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in stress_tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "4eb8ecf6", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(structure : Atoms, potential_dataframe : pd.DataFrame, deformation_gradient : np.array):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_static_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe)\n", + " strained_dict = calc_static_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + " # print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + " diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " return diff" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "bdad3b19", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_0K(structure : Atoms, potential_name : str, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(structure=structure, strain=strain)\n", + "\n", + " stress_tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff = get_stress_tensor_at_0K(structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " )\n", + " stress_tensor_dict[constant_str] = diff\n", + "\n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(stress_tensor_dict, strain)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "0f769e02", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell, \n", + " potential_name=potential_name_str,\n", + " strain=0.005\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "4e54f2b0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_0" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "69de1155", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_old[0.005]" + ] + }, + { + "cell_type": "markdown", + "id": "e4744a71", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "2e24a3c5", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(structure : Atoms, potential : str, temperature : float = 500, seed : int = 42) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(5)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " )\n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # structure_repeated_npt = bulk('Al', a=npt_lattice_constant, cubic=True).repeat(5)\n", + "\n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], [0,npt_lattice_constant,0], [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(5)\n", + "\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " ) \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "b1fe1215", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "# input should be a unit cell and the output is a repeated cell\n", + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=300)\n", + "repeated_unit_cell_nvt_500 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=500)\n", + "repeated_unit_cell_nvt_800 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=800)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "876adbf3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(Atoms(symbols='Cu500', pbc=True, cell=[18.159633978016213, 18.159633978016213, 18.159633978016213], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.22042115296756, 18.22042115296756, 18.22042115296756], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.32144627231945, 18.32144627231945, 18.32144627231945], momenta=...))" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300, repeated_unit_cell_nvt_500, repeated_unit_cell_nvt_800" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "701c1658", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "# input should be a unit cell and the output is a repeated cell\n", + "repeated_unit_cell_nvt_300_1 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=300, seed=1234)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "abddadd5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu500', pbc=True, cell=[18.1604448226135, 18.1604448226135, 18.1604448226135], momenta=...)" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "8c7d54b6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "ceafeae0", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=300, seed = 9876)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "08864c74", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 == repeated_unit_cell_nvt_300_1 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Finite Temperature Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "b3e4b32a", + "metadata": {}, + "source": [ + "### The old way" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "3f558d1e", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation_at_finite_temperature_old(structure : Atoms, potential_dataframe : pd.DataFrame, elastic_constant : str, deformation_gradient : np.array, temperature : float, strain : float):\n", + "\n", + " from atomistics.calculators.lammps.libcalculator import calc_molecular_dynamics_nvt_with_lammpslib # FIXME: Add to top later!\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['pressure'])\n", + " # print(\"Strained stress:\\n\", strained_dict['pressure'])\n", + "\n", + " diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + " # print(diff)\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "27196719", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature_old(structure : Atoms, potential : str, temperature : float = 500, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation_at_finite_temperature_old(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "b2fe2da0", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_old = calculate_elastic_constants_at_finite_temperature_old(structure=repeated_unit_cell_nvt_300, potential=potential_name_str, temperature=300, strain=0.005)\n", + "elastic_constants_list_500_old = calculate_elastic_constants_at_finite_temperature_old(structure=repeated_unit_cell_nvt_500, potential=potential_name_str, temperature=500, strain=0.005)\n", + "elastic_constants_list_800_old = calculate_elastic_constants_at_finite_temperature_old(structure=repeated_unit_cell_nvt_800, potential=potential_name_str, temperature=800, strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "8187d2c2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_old, elastic_constants_list_500_old, elastic_constants_list_800_old" + ] + }, + { + "cell_type": "markdown", + "id": "acdf52df", + "metadata": {}, + "source": [ + "### The new way - modular" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "ee8a3478", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(structure : Atoms, strain : float = 0.005):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "91650a2c", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(stress_tensor_dict : dict, strain : float):\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in stress_tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list\n" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "6a373e2b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(structure : Atoms, potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array, temperature : float, seed : int):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed)\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['pressure'])\n", + " # print(\"Strained stress:\\n\", strained_dict['pressure'])\n", + "\n", + " diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + " \n", + " return diff, relaxed_dict['pressure'], strained_dict['pressure']" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "07d6d1d5", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(structure : Atoms, potential_name : str, temperature : float = 500, strain : float = 0.005, seed : int = 42) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(structure=structure, strain=strain)\n", + "\n", + " stress_tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_stress, strained_stress = get_stress_tensor_at_finite_temperature(\n", + " structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " seed=seed\n", + " )\n", + " \n", + " stress_tensor_dict[constant_str] = diff\n", + " stress_tensor_dict[f'relaxed_stress_{constant_str}'] = relaxed_stress\n", + " stress_tensor_dict[f'strained_stress_{constant_str}'] = strained_stress\n", + "\n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(stress_tensor_dict, strain)\n", + "\n", + " return elastic_constants_list, stress_tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "b9713897", + "metadata": {}, + "source": [ + "#### Run 0" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e853de44", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_300, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "bf2da33d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_500 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_500, \n", + " potential_name=potential_name_str,\n", + " temperature=500,\n", + " strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "0444dcca", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_800 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_800, \n", + " potential_name=potential_name_str,\n", + " temperature=800,\n", + " strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "1f88bad9", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_1, stress_dict_300_1 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_300_1, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_2 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_300_2, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=9876)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "b5378f7b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300, elastic_constants_list_500, elastic_constants_list_800" + ] + }, + { + "cell_type": "markdown", + "id": "e376c301", + "metadata": {}, + "source": [ + "#### Run 1" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "43d86cb5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1579126.9611630437,\n", + " 1579126.9611630437,\n", + " 1579126.9611630437,\n", + " 1197615.1814067382,\n", + " 1197615.1814067382,\n", + " 1197615.1814067382,\n", + " 720078.2814069496,\n", + " 720078.2814069496,\n", + " 720078.2814069496]" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "e151e1fb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'C11': array([[7895.63480582, 207.74402075, -144.7329613 ],\n", + " [ 207.74402075, 6388.63812517, 109.96334465],\n", + " [-144.7329613 , 109.96334465, 5978.3359143 ]]),\n", + " 'relaxed_stress_C11': array([[[ 8.96197045e+03, 1.00299980e+03, -5.21670365e+02],\n", + " [ 1.00299980e+03, 6.79196806e+03, 1.89843951e+02],\n", + " [-5.21670365e+02, 1.89843951e+02, 7.22633469e+03]],\n", + " \n", + " [[ 3.37827687e+03, -7.26229708e+02, -6.53362892e+02],\n", + " [-7.26229708e+02, 2.65378665e+03, -5.25208744e+02],\n", + " [-6.53362892e+02, -5.25208744e+02, 3.16556513e+03]],\n", + " \n", + " [[ 8.63954138e+02, 1.56674421e+02, -1.63812370e+02],\n", + " [ 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+ "execution_count": 68, + "id": "6d238d27", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "ccbb4786", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(stress_dict_300_1['relaxed_stress_C11'][:,:,0])\n", + "plt.axhline(np.mean(stress_dict_300_1['relaxed_stress_C11'][20:,0,0], axis = 0))" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "id": "0f787209", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(stress_dict_300_1['strained_stress_C11'][:,:,0])\n", + "plt.axhline(np.mean(stress_dict_300_1['strained_stress_C11'][20:,0,0], axis = 0))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3dc791de", + "metadata": {}, + "outputs": [], + "source": [ + "plt.plot(np.mean(stress_dict_300_1['relaxed_stress_C11'][:,:,0]))" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "f52515ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1581674.8486534993, 1198248.1584729487, 703985.7860454394]" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_2" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "a625faff", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_old, elastic_constants_list_500_old, elastic_constants_list_800_old" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "85285a34", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_0" + ] + }, + { + "cell_type": "markdown", + "id": "82782a43", + "metadata": {}, + "source": [ + "## (Jan + Yury)'s function to fit elastic constants" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "432a25fc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n" + ] + }, + { + "data": { + "text/plain": [ + "OrderedDict([('s_e_0',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])),\n", + " ('s_01_e_m0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.5968796658126285, 3.5968796658126285, 3.5968796658126285])),\n", + " ('s_01_e_m0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6059512556700533, 3.6059512556700533, 3.6059512556700533])),\n", + " ('s_01_e_0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.624026312560087, 3.624026312560087, 3.624026312560087])),\n", + " ('s_01_e_0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6330301185181946, 3.6330301185181946, 3.6330301185181946])),\n", + " ('s_08_e_m0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.5968796658126285, 3.5968796658126285, 3.6150000810785805])),\n", + " ('s_08_e_m0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6059512556700533, 3.6059512556700533, 3.6150000810785805])),\n", + " ('s_08_e_0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.624026312560087, 3.624026312560087, 3.6150000810785805])),\n", + " ('s_08_e_0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6330301185181946, 3.6330301185181946, 3.6150000810785805])),\n", + " ('s_23_e_m0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.6149092456290215, -0.018120872889173224, -0.018120872889173224], [-0.018120872889173224, 3.6149092456290215, -0.018120872889173224], [-0.018120872889173224, -0.018120872889173224, 3.6149092456290215]])),\n", + " ('s_23_e_m0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.614977430311052, -0.009048882249211423, -0.009048882249211423], [-0.009048882249211423, 3.614977430311052, -0.009048882249211423], [-0.009048882249211423, -0.009048882249211423, 3.614977430311052]])),\n", + " ('s_23_e_0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.6149775432859825, 0.009026287616106184, 0.009026287616106184], [0.009026287616106184, 3.6149775432859825, 0.009026287616106184], [0.009026287616106184, 0.009026287616106184, 3.6149775432859825]])),\n", + " ('s_23_e_0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.6149101495767533, 0.018030483764124534, 0.018030483764124534], [0.018030483764124534, 3.6149101495767533, 0.018030483764124534], [0.018030483764124534, 0.018030483764124534, 3.6149101495767533]]))])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sym_dict, structure_dict = generate_structures_helper(\n", + " structure=relaxed_unit_cell,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + ")\n", + "structure_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "a2ad0a82", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "({'SGN': 225,\n", + " 'v0': 47.24163655365946,\n", + " 'LC': 'CI',\n", + " 'Lag_strain_list': ['01', '08', '23'],\n", + " 'epss': array([-0.005 , -0.0025, 0. , 0.0025, 0.005 ]),\n", + " 'strain_energy': [[(-0.005, -14.155331549040174),\n", + " (-0.0025, -14.158842895538605),\n", + " (0.0, -14.159999873522768),\n", + " (0.0024999999999999996, -14.158857794361712),\n", + " (0.005, -14.15545249983866)],\n", + " [(-0.005, -14.157811017439585),\n", + " (-0.0025, -14.159456877440729),\n", + " (0.0, -14.159999873522768),\n", + " (0.0024999999999999996, -14.159463637175513),\n", + " (0.005, -14.157865505906283)],\n", + " [(-0.005, -14.156634898702134),\n", + " (-0.0025, -14.159158178385077),\n", + " (0.0, -14.159999873522768),\n", + " (0.0024999999999999996, -14.159156382493132),\n", + " (0.005, -14.156620532355765)]],\n", + " 'e0': -14.159999873522768,\n", + " 'A2': array([3.90269271, 1.83064058, 2.85545831])},\n", + " {'elastic_matrix': array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]]),\n", + " 'elastic_matrix_inverse': array([[ 0.01523097, -0.00641602, -0.00641602, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00641602, 0.01523097, -0.00641602, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00641602, -0.00641602, 0.01523097, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0.0131149 , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0.0131149 ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0.0131149 ]]),\n", + " 'bulkmodul_voigt': 138.95117942771515,\n", + " 'bulkmodul_reuss': 138.9511794277151,\n", + " 'bulkmodul_hill': 138.95117942771512,\n", + " 'shearmodul_voigt': 54.98864393615269,\n", + " 'shearmodul_reuss': 39.7037528164912,\n", + " 'shearmodul_hill': 47.34619837632195,\n", + " 'youngsmodul_voigt': 145.74074756752282,\n", + " 'youngsmodul_reuss': 108.75294404877984,\n", + " 'youngsmodul_hill': 127.551323872706,\n", + " 'poissonsratio_voigt': 0.32518950400688545,\n", + " 'poissonsratio_reuss': 0.36955497067784265,\n", + " 'poissonsratio_hill': 0.3470070274585657,\n", + " 'AVR': 16.141624506124586,\n", + " 'elastic_matrix_eigval': EigResult(eigenvalues=array([ 46.19579076, 416.85353828, 46.19579076, 76.24914297,\n", + " 76.24914297, 76.24914297]), eigenvectors=array([[-0.81649658, 0.57735027, 0.61737659, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, -0.77143511, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, 0.15405852, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 1. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 1. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 1. ]]))})" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")\n", + "\n", + "result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + ")\n", + "\n", + "sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + ")\n", + "\n", + "sym_dict, elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "a6b97eff-c327-4c7e-b280-16777d3f3c7d", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(structure: Atoms, potential: str, strains, stresses=None, energies=None):\n", + "\n", + " sym_dict, structure_dict = generate_structures_helper(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + " )\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + " )\n", + "\n", + " sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "a7c156eb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "relaxed_structure = get_relaxed_structure_at_0K(unit_cell, potential_name_str)\n", + "elast_dict = fit_elastic_constants(\n", + " structure=relaxed_structure,\n", + " potential=potential_name_str,\n", + " strains=None)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "eb5f05b6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elast_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1eca244a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "e2b61396-042c-42a6-9320-1860442aff58", + "metadata": {}, + "outputs": [], + "source": [ + "def get_bulk_structure(\n", + " name: str,\n", + " crystalstructure=None,\n", + " a=None,\n", + " b=None,\n", + " c=None,\n", + " alpha=None,\n", + " covera=None,\n", + " u=None,\n", + " orthorhombic=False,\n", + " cubic=False,\n", + " basis=None,\n", + "):\n", + " from ase.build import bulk\n", + " equil_struct = bulk(\n", + " name=name,\n", + " crystalstructure=crystalstructure,\n", + " a=a,\n", + " b=b,\n", + " c=c,\n", + " alpha=alpha,\n", + " covera=covera,\n", + " u=u,\n", + " orthorhombic=orthorhombic,\n", + " cubic=cubic,\n", + " basis=basis,\n", + " )\n", + " return equil_struct" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "pyiron-latest", + "language": "python", + "name": "pyiron-latest" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_10-09-25_2.ipynb b/hackathon/elastic_constants/MD/MD_10-09-25_2.ipynb new file mode 100644 index 0000000..c987a88 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_10-09-25_2.ipynb @@ -0,0 +1,4550 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " analyse_structures_helper,\n", + " generate_structures_helper,\n", + ")\n", + "\n", + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name\n", + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_npt_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_nvt_with_lammpslib" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True)\n", + "len(unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1007230a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "500" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5)\n", + "len(repeated_unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict = None) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There was an error initializing an OpenFabrics device.\n", + "\n", + " Local host: cmti001\n", + " Local device: hfi1_0\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(unit_cell, potential_name_str, lmp_optimizer_kwargs)\n", + "relaxed_unit_cell" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(structure, potential)\n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "3.61500008107858" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(unit_cell, potential_name_str) # optional argument lmp_optimizer_kwargs\n", + "a_0" + ] + }, + { + "cell_type": "markdown", + "id": "a5c7184f", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "fe7f9a37", + "metadata": {}, + "source": [ + "### The old way" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "fc5abe51", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation_old(structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " elastic_constant : str, \n", + " deformation_gradient : np.array, \n", + " strain : float) -> float:\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_static_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe)\n", + " strained_dict = calc_static_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + " # print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + " diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " #return diff, constant\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "085147e6", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_old(structure : Atoms, potential : str, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + " \n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation_old(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d69ed63f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "strain_list = [0.005, -0.005, 0.0005, -0.0005, 0.0004, -0.0004, 0.0003, -0.0003, 0.0001, -0.0001]\n", + "elastic_constants_old = {}\n", + "for strain in strain_list:\n", + " elastic_constants_old[strain] = calculate_elastic_constants_old(structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " strain=strain)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "71cc73fa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{0.005: [1692164.6750272135, 1214497.7228949314, 762691.2007684121],\n", + " -0.005: [1710790.6463856378, 1247922.3801806667, 762691.2007684069],\n", + " 0.0005: [1697853.2932338533, 1224662.659686236, 761904.8651709246],\n", + " -0.0005: [1699856.6833791414, 1227964.3387871818, 761904.865170909],\n", + " 0.0004: [1698002.119256038, 1224858.4015360293, 761903.2505709308],\n", + " -0.0004: [1699647.353066269, 1227541.5719992353, 761903.2505709392],\n", + " 0.0003: [1698180.0334696264, 1225068.265620764, 761902.0532181964],\n", + " -0.0003: [1699438.2221923887, 1227152.3992523046, 761902.0532182545],\n", + " 0.0001: [1698602.3751587172, 1225666.2585527708, 761899.9945214274],\n", + " -0.0001: [1699020.04986783, 1226418.0480321562, 761899.9945215051]}" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_old" + ] + }, + { + "cell_type": "markdown", + "id": "02d8b319", + "metadata": {}, + "source": [ + "### The new way - modular" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "70269f40", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(structure : Atoms, strain : float = 0.005):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "c80b5eb1", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(stress_tensor_dict : dict, strain : float):\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in stress_tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "4eb8ecf6", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(structure : Atoms, potential_dataframe : pd.DataFrame, deformation_gradient : np.array):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_static_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe)\n", + " strained_dict = calc_static_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + " # print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + " diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " return diff" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "bdad3b19", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_0K(structure : Atoms, potential_name : str, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(structure=structure, strain=strain)\n", + "\n", + " stress_tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff = get_stress_tensor_at_0K(structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " )\n", + " stress_tensor_dict[constant_str] = diff\n", + "\n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(stress_tensor_dict, strain)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "0f769e02", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0 = calculate_elastic_constants_at_0K(\n", + " structure=relaxed_unit_cell, \n", + " potential_name=potential_name_str,\n", + " strain=0.005\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "4e54f2b0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_0" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "69de1155", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_old[0.005]" + ] + }, + { + "cell_type": "markdown", + "id": "e4744a71", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "2e24a3c5", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(structure : Atoms, potential : str, temperature : float = 500, seed : int = 42) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(5)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " )\n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # structure_repeated_npt = bulk('Al', a=npt_lattice_constant, cubic=True).repeat(5)\n", + "\n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], [0,npt_lattice_constant,0], [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(5)\n", + "\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " ) \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "ec69a084", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=300, seed=4928459)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "b1fe1215", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "# input should be a unit cell and the output is a repeated cell\n", + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=300)\n", + "repeated_unit_cell_nvt_500 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=500)\n", + "repeated_unit_cell_nvt_800 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=800)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "876adbf3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(Atoms(symbols='Cu500', pbc=True, cell=[18.159633978016213, 18.159633978016213, 18.159633978016213], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.22042115296756, 18.22042115296756, 18.22042115296756], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.32144627231945, 18.32144627231945, 18.32144627231945], momenta=...))" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300, repeated_unit_cell_nvt_500, repeated_unit_cell_nvt_800" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "701c1658", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "# input should be a unit cell and the output is a repeated cell\n", + "repeated_unit_cell_nvt_300_1 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=300, seed=1234)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "abddadd5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu500', pbc=True, cell=[18.1604448226135, 18.1604448226135, 18.1604448226135], momenta=...)" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "8c7d54b6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "ceafeae0", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 = equilibriate_structure_at_finite_temperature(structure=relaxed_unit_cell, potential=potential_name_str, temperature=300, seed = 9876)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "08864c74", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 == repeated_unit_cell_nvt_300_1 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Finite Temperature Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "b3e4b32a", + "metadata": {}, + "source": [ + "### The old way" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "3f558d1e", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation_at_finite_temperature_old(structure : Atoms, potential_dataframe : pd.DataFrame, elastic_constant : str, deformation_gradient : np.array, temperature : float, strain : float):\n", + "\n", + " from atomistics.calculators.lammps.libcalculator import calc_molecular_dynamics_nvt_with_lammpslib # FIXME: Add to top later!\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['pressure'])\n", + " # print(\"Strained stress:\\n\", strained_dict['pressure'])\n", + "\n", + " diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + " # print(diff)\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "27196719", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature_old(structure : Atoms, potential : str, temperature : float = 500, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation_at_finite_temperature_old(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "b2fe2da0", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_old = calculate_elastic_constants_at_finite_temperature_old(structure=repeated_unit_cell_nvt_300, potential=potential_name_str, temperature=300, strain=0.005)\n", + "elastic_constants_list_500_old = calculate_elastic_constants_at_finite_temperature_old(structure=repeated_unit_cell_nvt_500, potential=potential_name_str, temperature=500, strain=0.005)\n", + "elastic_constants_list_800_old = calculate_elastic_constants_at_finite_temperature_old(structure=repeated_unit_cell_nvt_800, potential=potential_name_str, temperature=800, strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "8187d2c2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_old, elastic_constants_list_500_old, elastic_constants_list_800_old" + ] + }, + { + "cell_type": "markdown", + "id": "acdf52df", + "metadata": {}, + "source": [ + "### The new way - modular" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "ee8a3478", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(structure : Atoms, strain : float = 0.005):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "91650a2c", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(stress_tensor_dict : dict, strain : float):\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in stress_tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "6a373e2b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(structure : Atoms, potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array, temperature : float, seed : int):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed)\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['pressure'])\n", + " # print(\"Strained stress:\\n\", strained_dict['pressure'])\n", + "\n", + " diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + " \n", + " return diff, relaxed_dict['pressure'], strained_dict['pressure']" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "07d6d1d5", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(structure : Atoms, potential_name : str, temperature : float = 500, strain : float = 0.005, seed : int = 42) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(structure=structure, strain=strain)\n", + "\n", + " stress_tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_stress, strained_stress = get_stress_tensor_at_finite_temperature(\n", + " structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " seed=seed\n", + " )\n", + " \n", + " stress_tensor_dict[constant_str] = diff\n", + " stress_tensor_dict[f'relaxed_stress_{constant_str}'] = relaxed_stress\n", + " stress_tensor_dict[f'strained_stress_{constant_str}'] = strained_stress\n", + "\n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(stress_tensor_dict, strain)\n", + "\n", + " return elastic_constants_list, stress_tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "b9713897", + "metadata": {}, + "source": [ + "#### Run 0" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "e853de44", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300, stress_dict_300 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_300, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=4928459)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "bf2da33d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_500 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_500, \n", + " potential_name=potential_name_str,\n", + " temperature=500,\n", + " strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "0444dcca", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_800 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_800, \n", + " potential_name=potential_name_str,\n", + " temperature=800,\n", + " strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "1f88bad9", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_1, stress_dict_300_1 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_300_1, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_2 = calculate_elastic_constants_at_finite_temperature(structure=repeated_unit_cell_nvt_300_2, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=9876)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "b5378f7b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300, elastic_constants_list_500, elastic_constants_list_800" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "8677c191", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1708047.1698537243,\n", + " 1708047.1698537243,\n", + " 1708047.1698537243,\n", + " 1200998.912591118,\n", + " 1200998.912591118,\n", + " 1200998.912591118,\n", + " 736383.9337147959,\n", + " 736383.9337147959,\n", + " 736383.9337147959]" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300" + ] + }, + { + "cell_type": "markdown", + "id": "e376c301", + "metadata": {}, + "source": [ + "#### Run 1" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "43d86cb5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1579126.9611630437,\n", + " 1579126.9611630437,\n", + " 1579126.9611630437,\n", + " 1197615.1814067382,\n", + " 1197615.1814067382,\n", + " 1197615.1814067382,\n", + " 720078.2814069496,\n", + " 720078.2814069496,\n", + " 720078.2814069496]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "e151e1fb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'C11': array([[7895.63480582, 207.74402075, -144.7329613 ],\n", + " [ 207.74402075, 6388.63812517, 109.96334465],\n", + " 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Run 0')\n", + "plt.plot(stress_dict_300['relaxed_stress_C11'][:,0,0])\n", + "plt.axhline(np.mean(stress_dict_300['relaxed_stress_C11'][20:,0,0], axis = 0))\n", + "mean_run = np.mean(stress_dict_300['relaxed_stress_C11'][20:,0,0], axis = 0)\n", + "mean_run" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "ccbb4786", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "141.7340813120839" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Run 1')\n", + "plt.plot(stress_dict_300_1['relaxed_stress_C11'][:,0,0])\n", + "plt.axhline(np.mean(stress_dict_300_1['relaxed_stress_C11'][20:,0,0], axis = 0))\n", + "\n", + "mean_run_1 = np.mean(stress_dict_300_1['relaxed_stress_C11'][20:,0,0], axis = 0)\n", + "mean_run_1" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "id": "0f787209", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(stress_dict_300_1['strained_stress_C11'][:,:,0])\n", + "plt.axhline(np.mean(stress_dict_300_1['strained_stress_C11'][20:,0,0], axis = 0))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3dc791de", + "metadata": {}, + "outputs": [], + "source": [ + "plt.plot(np.mean(stress_dict_300_1['relaxed_stress_C11'][:,:,0]))" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "f52515ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1581674.8486534993, 1198248.1584729487, 703985.7860454394]" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_2" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "a625faff", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_old, elastic_constants_list_500_old, elastic_constants_list_800_old" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "85285a34", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_0" + ] + }, + { + "cell_type": "markdown", + "id": "82782a43", + "metadata": {}, + "source": [ + "## (Jan + Yury)'s function to fit elastic constants" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "432a25fc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n" + ] + }, + { + "data": { + "text/plain": [ + "OrderedDict([('s_e_0',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])),\n", + " ('s_01_e_m0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.5968796658126285, 3.5968796658126285, 3.5968796658126285])),\n", + " ('s_01_e_m0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6059512556700533, 3.6059512556700533, 3.6059512556700533])),\n", + " ('s_01_e_0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.624026312560087, 3.624026312560087, 3.624026312560087])),\n", + " ('s_01_e_0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6330301185181946, 3.6330301185181946, 3.6330301185181946])),\n", + " ('s_08_e_m0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.5968796658126285, 3.5968796658126285, 3.6150000810785805])),\n", + " ('s_08_e_m0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6059512556700533, 3.6059512556700533, 3.6150000810785805])),\n", + " ('s_08_e_0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.624026312560087, 3.624026312560087, 3.6150000810785805])),\n", + " ('s_08_e_0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[3.6330301185181946, 3.6330301185181946, 3.6150000810785805])),\n", + " ('s_23_e_m0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.6149092456290215, -0.018120872889173224, -0.018120872889173224], [-0.018120872889173224, 3.6149092456290215, -0.018120872889173224], [-0.018120872889173224, -0.018120872889173224, 3.6149092456290215]])),\n", + " ('s_23_e_m0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.614977430311052, -0.009048882249211423, -0.009048882249211423], [-0.009048882249211423, 3.614977430311052, -0.009048882249211423], [-0.009048882249211423, -0.009048882249211423, 3.614977430311052]])),\n", + " ('s_23_e_0_00250',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.6149775432859825, 0.009026287616106184, 0.009026287616106184], [0.009026287616106184, 3.6149775432859825, 0.009026287616106184], [0.009026287616106184, 0.009026287616106184, 3.6149775432859825]])),\n", + " ('s_23_e_0_00500',\n", + " Atoms(symbols='Cu4', pbc=True, cell=[[3.6149101495767533, 0.018030483764124534, 0.018030483764124534], [0.018030483764124534, 3.6149101495767533, 0.018030483764124534], [0.018030483764124534, 0.018030483764124534, 3.6149101495767533]]))])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sym_dict, structure_dict = generate_structures_helper(\n", + " structure=relaxed_unit_cell,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + ")\n", + "structure_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "a2ad0a82", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "({'SGN': 225,\n", + " 'v0': 47.24163655365946,\n", + " 'LC': 'CI',\n", + " 'Lag_strain_list': ['01', '08', '23'],\n", + " 'epss': array([-0.005 , -0.0025, 0. , 0.0025, 0.005 ]),\n", + " 'strain_energy': [[(-0.005, -14.155331549040174),\n", + " (-0.0025, -14.158842895538605),\n", + " (0.0, -14.159999873522768),\n", + " (0.0024999999999999996, -14.158857794361712),\n", + " (0.005, -14.15545249983866)],\n", + " [(-0.005, -14.157811017439585),\n", + " (-0.0025, -14.159456877440729),\n", + " (0.0, -14.159999873522768),\n", + " (0.0024999999999999996, -14.159463637175513),\n", + " (0.005, -14.157865505906283)],\n", + " [(-0.005, -14.156634898702134),\n", + " (-0.0025, -14.159158178385077),\n", + " (0.0, -14.159999873522768),\n", + " (0.0024999999999999996, -14.159156382493132),\n", + " (0.005, -14.156620532355765)]],\n", + " 'e0': -14.159999873522768,\n", + " 'A2': array([3.90269271, 1.83064058, 2.85545831])},\n", + " {'elastic_matrix': array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]]),\n", + " 'elastic_matrix_inverse': array([[ 0.01523097, -0.00641602, -0.00641602, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00641602, 0.01523097, -0.00641602, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00641602, -0.00641602, 0.01523097, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0.0131149 , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0.0131149 ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0.0131149 ]]),\n", + " 'bulkmodul_voigt': 138.95117942771515,\n", + " 'bulkmodul_reuss': 138.9511794277151,\n", + " 'bulkmodul_hill': 138.95117942771512,\n", + " 'shearmodul_voigt': 54.98864393615269,\n", + " 'shearmodul_reuss': 39.7037528164912,\n", + " 'shearmodul_hill': 47.34619837632195,\n", + " 'youngsmodul_voigt': 145.74074756752282,\n", + " 'youngsmodul_reuss': 108.75294404877984,\n", + " 'youngsmodul_hill': 127.551323872706,\n", + " 'poissonsratio_voigt': 0.32518950400688545,\n", + " 'poissonsratio_reuss': 0.36955497067784265,\n", + " 'poissonsratio_hill': 0.3470070274585657,\n", + " 'AVR': 16.141624506124586,\n", + " 'elastic_matrix_eigval': EigResult(eigenvalues=array([ 46.19579076, 416.85353828, 46.19579076, 76.24914297,\n", + " 76.24914297, 76.24914297]), eigenvectors=array([[-0.81649658, 0.57735027, 0.61737659, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, -0.77143511, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, 0.15405852, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 1. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 1. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 1. ]]))})" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")\n", + "\n", + "result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + ")\n", + "\n", + "sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + ")\n", + "\n", + "sym_dict, elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "a6b97eff-c327-4c7e-b280-16777d3f3c7d", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(structure: Atoms, potential: str, strains, stresses=None, energies=None):\n", + "\n", + " sym_dict, structure_dict = generate_structures_helper(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + " )\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + " )\n", + "\n", + " sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "a7c156eb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "relaxed_structure = get_relaxed_structure_at_0K(unit_cell, potential_name_str)\n", + "elast_dict = fit_elastic_constants(\n", + " structure=relaxed_structure,\n", + " potential=potential_name_str,\n", + " strains=None)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "eb5f05b6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elast_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1eca244a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "e2b61396-042c-42a6-9320-1860442aff58", + "metadata": {}, + "outputs": [], + "source": [ + "def get_bulk_structure(\n", + " name: str,\n", + " crystalstructure=None,\n", + " a=None,\n", + " b=None,\n", + " c=None,\n", + " alpha=None,\n", + " covera=None,\n", + " u=None,\n", + " orthorhombic=False,\n", + " cubic=False,\n", + " basis=None,\n", + "):\n", + " from ase.build import bulk\n", + " equil_struct = bulk(\n", + " name=name,\n", + " crystalstructure=crystalstructure,\n", + " a=a,\n", + " b=b,\n", + " c=c,\n", + " alpha=alpha,\n", + " covera=covera,\n", + " u=u,\n", + " orthorhombic=orthorhombic,\n", + " cubic=cubic,\n", + " basis=basis,\n", + " )\n", + " return equil_struct" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "pyiron-latest", + "language": "python", + "name": "pyiron-latest" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_13-08-25.ipynb b/hackathon/elastic_constants/MD/MD_13-08-25.ipynb new file mode 100644 index 0000000..4c8cef1 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_13-08-25.ipynb @@ -0,0 +1,1868 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " analyse_structures_helper,\n", + " generate_structures_helper,\n", + ")\n", + "\n", + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name\n", + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_npt_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_nvt_with_lammpslib" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True)\n", + "len(unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1007230a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "500" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5)\n", + "len(repeated_unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "6603a0b3", + "metadata": {}, + "outputs": [], + "source": [ + "from __future__ import annotations\n", + "\n", + "from typing import TYPE_CHECKING\n", + "\n", + "import numpy as np\n", + "import pandas\n", + "from jinja2 import Template\n", + "from pylammpsmpi import LammpsASELibrary\n", + "\n", + "from atomistics.calculators.interface import get_quantities_from_tasks\n", + "from atomistics.calculators.lammps.commands import (\n", + " LAMMPS_ENSEMBLE_NPH,\n", + " LAMMPS_ENSEMBLE_NPT,\n", + " LAMMPS_ENSEMBLE_NVT,\n", + " LAMMPS_LANGEVIN,\n", + " LAMMPS_MINIMIZE,\n", + " LAMMPS_MINIMIZE_VOLUME,\n", + " LAMMPS_NVE,\n", + " LAMMPS_RUN,\n", + " LAMMPS_THERMO,\n", + " LAMMPS_THERMO_STYLE,\n", + " LAMMPS_TIMESTEP,\n", + " LAMMPS_VELOCITY,\n", + ")\n", + "from atomistics.calculators.lammps.helpers import (\n", + " lammps_calc_md,\n", + " lammps_run,\n", + " lammps_shutdown,\n", + " lammps_thermal_expansion_loop,\n", + ")\n", + "\n", + "from ase import Atoms\n", + "from pandas import DataFrame" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "11014876", + "metadata": {}, + "outputs": [], + "source": [ + "def optimize_positions_and_volume_with_lammpslib(\n", + " structure: Atoms,\n", + " potential_dataframe: DataFrame,\n", + " min_style: str = \"cg\",\n", + " etol: float = 0.0,\n", + " ftol: float = 0.0001,\n", + " maxiter: int = 100000,\n", + " maxeval: int = 10000000,\n", + " thermo: int = 10,\n", + " lmp=None,\n", + " **kwargs,\n", + ") -> Atoms:\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6cf94e39", + "metadata": {}, + "outputs": [], + "source": [ + "template_str = (\n", + " LAMMPS_MINIMIZE_VOLUME\n", + " + \"\\n\"\n", + " + LAMMPS_THERMO_STYLE\n", + " + \"\\n\"\n", + " + LAMMPS_THERMO\n", + " + \"\\n\"\n", + " + LAMMPS_MINIMIZE\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "d3cea908", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\\nthermo_modify format float %20.15g'" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "LAMMPS_THERMO_STYLE" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "f472b761", + "metadata": {}, + "outputs": [], + "source": [ + "LAMMPS_THERMO_STYLE = 'thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz fmax fnorm vol\\nthermo_modify format float %20.15g'\n", + "# Add fmax and fnorm" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "f57d5951", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'fix ensemble all box/relax iso 0.0'" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "LAMMPS_MINIMIZE_VOLUME" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "3d670c61", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_instance = lammps_run(\n", + " structure=structure,\n", + " potential_dataframe=df_pot_selected,\n", + " input_template=Template(template_str).render(\n", + " min_style='cg',\n", + " etol=0.0,\n", + " ftol=1e-8,\n", + " maxiter=100000,\n", + " maxeval=10000000,\n", + " thermo=10,\n", + " ),\n", + " lmp=None,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "12691390", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "102.0" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lmp_instance._interactive_library.get_thermo('step')" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "68bc4ab2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.1011614763469062e-12" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lmp_instance._interactive_library.get_thermo('fnorm')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "a0859568", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.3594869378056823e-10" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lmp_instance._interactive_library.get_thermo('pxx')" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "c4c626e3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.3776355198702237e-10" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lmp_instance._interactive_library.get_thermo('pyy')" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "8a224454", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[18.07500029, 0. , 0. ],\n", + " [ 0. , 18.07500029, 0. ],\n", + " [ 0. , 0. , 18.07500029]])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lmp_instance.interactive_cells_getter()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "3b87cd76", + "metadata": {}, + "outputs": [], + "source": [ + "LAMMPS_MINIMIZE_VOLUME = 'fix ensemble all box/relax aniso 0.0'" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "b7c5010c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "--------------------------------------------------------------------------\n", + "WARNING: There is at least one non-excluded one OpenFabrics device found,\n", + "but there are no active ports detected (or Open MPI was unable to use\n", + "them). This is most certainly not what you wanted. Check your\n", + "cables, subnet manager configuration, etc. The openib BTL will be\n", + "ignored for this job.\n", + "\n", + " Local host: cmti001\n", + "--------------------------------------------------------------------------\n" + ] + } + ], + "source": [ + "lmp_instance = lammps_run(\n", + " structure=structure,\n", + " potential_dataframe=df_pot_selected,\n", + " input_template=Template(template_str).render(\n", + " min_style='cg',\n", + " etol=0.0,\n", + " ftol=1e-8,\n", + " maxiter=100000,\n", + " maxeval=10000000,\n", + " thermo=10,\n", + " ),\n", + " lmp=None,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "1d14b7e9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "102.0" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lmp_instance._interactive_library.get_thermo('step')" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "dfaba379", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.1011614763469062e-12" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lmp_instance._interactive_library.get_thermo('fnorm')" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "26791b7a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.3594869378056823e-10" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lmp_instance._interactive_library.get_thermo('pxx')" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "8c311720", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.3776355198702237e-10" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lmp_instance._interactive_library.get_thermo('pyy')" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "2bbbe82b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[18.07500029, 0. , 0. ],\n", + " [ 0. , 18.07500029, 0. ],\n", + " [ 0. , 0. , 18.07500029]])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cell = lmp_instance.interactive_cells_getter()\n", + "cell" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "5e328725", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[3.61500006, 0. , 0. ],\n", + " [0. , 3.61500006, 0. ],\n", + " [0. , 0. , 3.61500006]])" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = cell/5\n", + "a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "5061935c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.6150000582154873" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0_mean = a_0.trace()/3\n", + "a_0_mean" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "da26968e", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.metrics import root_mean_squared_error" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "7da98e24", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[3.61500006, 0. , 0. ],\n", + " [0. , 3.61500006, 0. ],\n", + " [0. , 0. , 3.61500006]])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "331a9cab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([3.61500006, 3.61500006, 3.61500006])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.diag(a_0)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "e6e1d87b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.440892098500626e-16" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "error = root_mean_squared_error([a_0_mean]*len(np.diag(a_0)), np.diag(a_0))\n", + "error" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "942b9cb5", + "metadata": {}, + "outputs": [], + "source": [ + "structure_correct_a_0 = structure.copy()\n", + "structure_correct_a_0.set_cell(\n", + " a_0, scale_atoms=True\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cf482364", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "2c46da55", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There is at least one non-excluded one OpenFabrics device found,\n", + "but there are no active ports detected (or Open MPI was unable to use\n", + "them). This is most certainly not what you wanted. Check your\n", + "cables, subnet manager configuration, etc. The openib BTL will be\n", + "ignored for this job.\n", + "\n", + " Local host: cmti001\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu500', pbc=True, cell=[18.075000291110772, 18.075000291110772, 18.075000291110772])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " # add anisotropy\n", + " 'pressure':np.zeros(6),\n", + " }\n", + "relaxed_structure = get_relaxed_structure(structure, potential_name, optimizer_kwargs)\n", + "relaxed_structure" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure(structure, potential)\n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "4.050004662201837" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(structure, potential_name)\n", + "a_0" + ] + }, + { + "cell_type": "markdown", + "id": "a5c7184f", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "38245bb6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[0;31mSignature:\u001b[0m\n", + "\u001b[0mcalc_static_with_lammpslib\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mstructure\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'Atoms'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mpotential_dataframe\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'pandas.DataFrame'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mlmp\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0moutput_keys\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'forces'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'energy'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'stress'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'volume'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;34m'dict'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mDocstring:\u001b[0m \n", + "\u001b[0;31mFile:\u001b[0m /cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/libcalculator.py\n", + "\u001b[0;31mType:\u001b[0m function" + ] + } + ], + "source": [ + "calc_static_with_lammpslib?" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "fc5abe51", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation(structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " elastic_constant : str, \n", + " deformation_gradient : np.array, \n", + " strain : float) -> float:\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_static_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe)\n", + " strained_dict = calc_static_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + " # print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + " diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " #return diff, constant\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "085147e6", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants(structure : Atoms, potential : str, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + " \n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "id": "d69ed63f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "strain_list = [0.0005, -0.0005, 0.0004, -0.0004, 0.0003, -0.0003, 0.0001, -0.0001]\n", + "elastic_constants = {}\n", + "for strain in strain_list:\n", + " elastic_constants[strain] = calculate_elastic_constants(structure=relaxed_structure, \n", + " potential=potential_name, \n", + " strain=strain)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "id": "71cc73fa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{0.0005: [1606140.676363546, 1143786.6076853678, 706967.8999214441],\n", + " -0.0005: [1607745.6835459743, 1146834.8338544455, 706967.8999213753],\n", + " 0.0004: [1606306.9532878215, 1144097.017264039, 706969.8755425751],\n", + " -0.0004: [1607590.1235395577, 1146532.8483744452, 706969.8755424207],\n", + " 0.0003: [1606472.5963551367, 1144407.0030222551, 706971.4778578829],\n", + " -0.0003: [1607434.0377084203, 1146230.1524983682, 706971.4778577433],\n", + " 0.0001: [1606794.970004703, 1145025.0752221472, 706973.7148555571],\n", + " -0.0001: [1607115.7218430743, 1145627.407566608, 706973.7148550429]}" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8df508c0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-13539.04027023905 -2707808.05404781\n", + "-1129283.1439435948 -4306352.395608196\n", + "13971.1638808321 -2794232.77616642\n", + "-1160135.794455595 -4408919.241913761\n", + "-275.1430675794545 -2751430.675794545\n", + "-1145025.0752221472 -4358225.645799248\n", + "275.31340201646526 -2753134.0201646523\n", + "-1145627.407566608 -4360249.742007727\n" + ] + } + ], + "source": [ + "for strain, value in elastic_constants.items():\n", + " diff = value[1][0]\n", + " print(diff[1,1], diff[1,1]/strain)\n", + " C12_check = diff[1,1]/strain - value[0]\n", + " print(value[1][1], C12_check)\n", + "\n", + "# This is wrong!" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "167f06d7", + "metadata": {}, + "outputs": [], + "source": [ + "from functools import partial\n", + "\n", + "calculate_elastic_constants_map = partial(calculate_elastic_constants, \n", + " structure=structure_correct_a_0, \n", + " potential=potential_name)\n", + "\n", + "strain_list = [0.005, 0.0001]\n", + "results_list = map(calculate_elastic_constants_map, strain_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "cfaf5494", + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "calculate_elastic_constants() got multiple values for argument 'structure'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[65], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[38;5;28;43mlist\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mresults_list\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[0;31mTypeError\u001b[0m: calculate_elastic_constants() got multiple values for argument 'structure'" + ] + } + ], + "source": [ + "list(results_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "a0c86f48", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "[1145843.555110171, 613579.6671739953, 316998.27964768995]" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calculate_elastic_constants(structure=relaxed_structure, potential=potential_name, strain=-0.005)" + ] + }, + { + "cell_type": "markdown", + "id": "e4744a71", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2e24a3c5", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(structure : Atoms, potential : str, temperature : float = 500) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " structure_repeated = structure.repeat(5)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100\n", + " )\n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # structure_repeated_npt = bulk('Al', a=npt_lattice_constant, cubic=True).repeat(5)\n", + "\n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], [0,npt_lattice_constant,0], [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(5)\n", + "\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100\n", + " ) \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "b1fe1215", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "structure_repeated_nvt_300 = equilibriate_structure_at_finite_temperature(structure=relaxed_structure, potential=potential_name, temperature=300)\n", + "structure_repeated_nvt_500 = equilibriate_structure_at_finite_temperature(structure=relaxed_structure, potential=potential_name, temperature=500)\n", + "structure_repeated_nvt_800 = equilibriate_structure_at_finite_temperature(structure=relaxed_structure, potential=potential_name, temperature=800)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "876adbf3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(Atoms(symbols='Al500', pbc=True, cell=[20.324519140674408, 20.324519140674408, 20.324519140674408], momenta=...),\n", + " Atoms(symbols='Al500', pbc=True, cell=[20.390245415624175, 20.390245415624175, 20.390245415624175], momenta=...),\n", + " Atoms(symbols='Al500', pbc=True, cell=[20.51366823684186, 20.51366823684186, 20.51366823684186], momenta=...))" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "structure_repeated_nvt_300, structure_repeated_nvt_500, structure_repeated_nvt_800" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Finite Temperature Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "3f558d1e", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation_at_finite_temperature(structure : Atoms, potential_dataframe : pd.DataFrame, elastic_constant : str, deformation_gradient : np.array, temperature : float, strain : float):\n", + "\n", + " from atomistics.calculators.lammps.libcalculator import calc_molecular_dynamics_nvt_with_lammpslib # FIXME: Add to top later!\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['pressure'])\n", + " # print(\"Strained stress:\\n\", strained_dict['pressure'])\n", + "\n", + " diff = -np.mean(strained_dict['pressure'] - relaxed_dict['pressure'], axis=0)\n", + " # print(diff)\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "27196719", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(structure : Atoms, potential : str, temperature : float = 500, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation_at_finite_temperature(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "b2fe2da0", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300 = calculate_elastic_constants_at_finite_temperature(structure=structure_repeated_nvt_300, potential=potential_name, temperature=300, strain=0.005)\n", + "elastic_constants_list_500 = calculate_elastic_constants_at_finite_temperature(structure=structure_repeated_nvt_500, potential=potential_name, temperature=500, strain=0.005)\n", + "elastic_constants_list_800 = calculate_elastic_constants_at_finite_temperature(structure=structure_repeated_nvt_800, potential=potential_name, temperature=800, strain=0.005)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "8187d2c2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1100747.2692788003, 629290.6606284853, 333452.3055876522],\n", + " [1051359.6491810333, 614936.9099964361, 314049.15498242853],\n", + " [822006.9916656188, 511164.97334666474, 250652.86079160072])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300, elastic_constants_list_500, elastic_constants_list_800" + ] + }, + { + "cell_type": "markdown", + "id": "82782a43", + "metadata": {}, + "source": [ + "## (Jan + Yury)'s function to fit elastic constants" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "432a25fc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n" + ] + }, + { + "data": { + "text/plain": [ + "OrderedDict([('s_e_0',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.050004662201837, 4.050004662201837, 4.050004662201837])),\n", + " ('s_01_e_m0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.0297037591141, 4.0297037591141, 4.0297037591141])),\n", + " ('s_01_e_m0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.039866962542076, 4.039866962542076, 4.039866962542076])),\n", + " ('s_01_e_0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.060117049134704, 4.060117049134704, 4.060117049134704])),\n", + " ('s_01_e_0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.07020431200885, 4.07020431200885, 4.07020431200885])),\n", + " ('s_08_e_m0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.0297037591141, 4.0297037591141, 4.050004662201837])),\n", + " ('s_08_e_m0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.039866962542076, 4.039866962542076, 4.050004662201837])),\n", + " ('s_08_e_0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.060117049134704, 4.060117049134704, 4.050004662201837])),\n", + " ('s_08_e_0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.07020431200885, 4.07020431200885, 4.050004662201837])),\n", + " ('s_23_e_m0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.049902896230618, -0.020301415778231937, -0.020301415778231937], [-0.020301415778231937, 4.049902896230618, -0.020301415778231937], [-0.020301415778231937, -0.020301415778231937, 4.049902896230618]])),\n", + " ('s_23_e_m0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.049979285794635, -0.01013776334026729, -0.01013776334026729], [-0.01013776334026729, 4.049979285794635, -0.01013776334026729], [-0.01013776334026729, -0.01013776334026729, 4.049979285794635]])),\n", + " ('s_23_e_0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.049979412364202, 0.010112449822324114, 0.010112449822324114], [0.010112449822324114, 4.049979412364202, 0.010112449822324114], [0.010112449822324114, 0.010112449822324114, 4.049979412364202]])),\n", + " ('s_23_e_0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.0499039089532864, 0.020200149839186558, 0.020200149839186558], [0.020200149839186558, 4.0499039089532864, 0.020200149839186558], [0.020200149839186558, 0.020200149839186558, 4.0499039089532864]]))])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sym_dict, structure_dict = generate_structures_helper(\n", + " structure=relaxed_structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + ")\n", + "structure_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "a2ad0a82", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "({'SGN': 225,\n", + " 'v0': 66.43035441556098,\n", + " 'LC': 'CI',\n", + " 'Lag_strain_list': ['01', '08', '23'],\n", + " 'epss': array([-0.005 , -0.0025, 0. , 0.0025, 0.005 ]),\n", + " 'strain_energy': [[(-0.005, -13.436320248980278),\n", + " (-0.0025, -13.439079680886989),\n", + " (0.0, -13.439999952735112),\n", + " (0.0024999999999999996, -13.439084974614394),\n", + " (0.005, -13.436364320399795)],\n", + " [(-0.005, -13.43817471490433),\n", + " (-0.0025, -13.439544638502635),\n", + " (0.0, -13.439999952735112),\n", + " (0.0024999999999999996, -13.43954822781134),\n", + " (0.005, -13.43820419261515)],\n", + " [(-0.005, -13.437971451918393),\n", + " (-0.0025, -13.439501038418326),\n", + " (0.0, -13.439999952735112),\n", + " (0.0024999999999999996, -13.439515785430654),\n", + " (0.005, -13.438089441277945)]],\n", + " 'e0': -13.439999952735112,\n", + " 'A2': array([2.20130388, 1.08985578, 1.1861949 ])},\n", + " {'elastic_matrix': array([[114.103117 , 60.51102935, 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 114.103117 , 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 60.51102935, 114.103117 , 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 31.67489592,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 31.67489592, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 31.67489592]]),\n", + " 'elastic_matrix_inverse': array([[ 0.01385733, -0.00480214, -0.00480214, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00480214, 0.01385733, -0.00480214, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00480214, -0.00480214, 0.01385733, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0.03157074, 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0.03157074,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0.03157074]]),\n", + " 'bulkmodul_voigt': 78.37505856676479,\n", + " 'bulkmodul_reuss': 78.37505856676478,\n", + " 'bulkmodul_hill': 78.37505856676478,\n", + " 'shearmodul_voigt': 29.7233550814532,\n", + " 'shearmodul_reuss': 29.524633431767093,\n", + " 'shearmodul_hill': 29.623994256610146,\n", + " 'youngsmodul_voigt': 79.16270932635159,\n", + " 'youngsmodul_reuss': 78.69249533069122,\n", + " 'youngsmodul_hill': 78.92769056458738,\n", + " 'poissonsratio_voigt': 0.3316583728420953,\n", + " 'poissonsratio_reuss': 0.33265829553063747,\n", + " 'poissonsratio_hill': 0.3321581465500026,\n", + " 'AVR': 0.33540657610977775,\n", + " 'elastic_matrix_eigval': EigResult(eigenvalues=array([ 53.59208766, 235.1251757 , 53.59208766, 31.67489592,\n", + " 31.67489592, 31.67489592]), eigenvectors=array([[-0.81649658, 0.57735027, -0.05412602, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, -0.67848839, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, 0.73261441, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 1. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 1. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 1. ]]))})" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + ")\n", + "\n", + "result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + ")\n", + "\n", + "sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + ")\n", + "\n", + "sym_dict, elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "a6b97eff-c327-4c7e-b280-16777d3f3c7d", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(structure: Atoms, potential: str, strains, stresses=None, energies=None):\n", + "\n", + " sym_dict, structure_dict = generate_structures_helper(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + " )\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + " )\n", + "\n", + " sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "a7c156eb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[114.103117 , 60.51102935, 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 114.103117 , 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 60.51102935, 114.103117 , 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 31.67489592,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 31.67489592, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 31.67489592]])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure = get_relaxed_structure(structure, potential_name)\n", + "elast_dict = fit_elastic_constants(\n", + " structure=relaxed_structure,\n", + " potential=potential_name,\n", + " strains=None)\n", + "elast_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e2b61396-042c-42a6-9320-1860442aff58", + "metadata": {}, + "outputs": [], + "source": [ + "def get_bulk_structure(\n", + " name: str,\n", + " crystalstructure=None,\n", + " a=None,\n", + " b=None,\n", + " c=None,\n", + " alpha=None,\n", + " covera=None,\n", + " u=None,\n", + " orthorhombic=False,\n", + " cubic=False,\n", + " basis=None,\n", + "):\n", + " from ase.build import bulk\n", + " equil_struct = bulk(\n", + " name=name,\n", + " crystalstructure=crystalstructure,\n", + " a=a,\n", + " b=b,\n", + " c=c,\n", + " alpha=alpha,\n", + " covera=covera,\n", + " u=u,\n", + " orthorhombic=orthorhombic,\n", + " cubic=cubic,\n", + " basis=basis,\n", + " )\n", + " return equil_struct" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "pyiron-latest", + "language": "python", + "name": "pyiron-latest" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_15-10-25.ipynb b/hackathon/elastic_constants/MD/MD_15-10-25.ipynb new file mode 100644 index 0000000..d7d1ef9 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_15-10-25.ipynb @@ -0,0 +1,1862 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan, Sriram\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "ad9d71eb", + "metadata": {}, + "source": [ + "## Reference" + ] + }, + { + "cell_type": "markdown", + "id": "fee4e526", + "metadata": {}, + "source": [ + "We compare our values with the paper - [M. Krief, et. al., Physical Review E, 103, 063307, 2021](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4)\n", + "\n", + "Potential used: Copper [Mishin potential](https://www.ctcms.nist.gov/potentials/entry/2001--Mishin-Y-Mehl-M-J-Papaconstantopoulos-D-A-et-al--Cu-1/)" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:63: UserWarning: calc_static_with_qe(), evaluate_with_qe() and optimize_positions_and_volume_with_qe() are not available as the import of the module named 'pwtools' failed.\n", + " raise_warning(module_list=quantum_espresso_function, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/__init__.py:41: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:94: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " get_tasks_for_elastic_matrix,\n", + " analyse_results_for_elastic_matrix\n", + ")\n", + "\n", + "from atomistics.calculators import (\n", + " evaluate_with_lammpslib, \n", + " get_potential_by_name, \n", + " calc_molecular_dynamics_npt_with_lammpslib, \n", + " calc_molecular_dynamics_nvt_with_lammpslib\n", + ")\n", + "\n", + "from atomistics.calculators.lammps.libcalculator import (\n", + " calc_static_with_lammpslib, \n", + " calc_molecular_dynamics_langevin_with_lammpslib\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4c2e5072", + "metadata": {}, + "outputs": [], + "source": [ + "from pyiron_base import Project, job" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "d0c85625", + "metadata": {}, + "outputs": [], + "source": [ + "pr = Project(\"Finite_temp_convergence_3\")" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "4ce06b81", + "metadata": {}, + "outputs": [], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True) # 4 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "1007230a", + "metadata": {}, + "outputs": [], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5) # 500 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "b07fbd51", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"\n", + "\n", + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There is at least one non-excluded one OpenFabrics device found,\n", + "but there are no active ports detected (or Open MPI was unable to use\n", + "them). This is most certainly not what you wanted. Check your\n", + "cables, subnet manager configuration, etc. The openib BTL will be\n", + "ignored for this job.\n", + "\n", + " Local host: cmti001\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(\n", + " unit_cell, # 4 atoms\n", + " potential_name_str, \n", + " lmp_optimizer_kwargs\n", + ")\n", + "\n", + "relaxed_unit_cell # 4 atoms" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_lattice_constant_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(\n", + " structure=structure, \n", + " potential=potential,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " a_0 = structure_relaxed.get_volume()**(1/3)\n", + "\n", + " return a_0 # Angstrom" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "3.61500008107858" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_lattice_constant_at_0K(\n", + " structure=unit_cell, \n", + " potential=potential_name_str,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs)\n", + "\n", + "a_0 # Angstrom" + ] + }, + { + "cell_type": "markdown", + "id": "00afafda", + "metadata": {}, + "source": [ + "We get the same lattice constant at 0K as the reference paper!" + ] + }, + { + "cell_type": "markdown", + "id": "487ad8a1", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "6da5fde2", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(\n", + " structure : Atoms, \n", + " strain : float = 0.005\n", + " ) -> dict:\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "66091ecb", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(\n", + " tensor_dict : dict, \n", + " strain : float\n", + " ) -> list[float]:\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "fdd3131b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " relaxed_dict = calc_static_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " strained_dict = calc_static_with_lammpslib(\n", + " structure=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + "\n", + " relaxed_dict['stress_GPa'] = relaxed_dict['stress'] / 10**4\n", + " strained_dict['stress_GPa'] = strained_dict['stress'] / 10**4\n", + "\n", + " stress_diff = strained_dict['stress_GPa'] - relaxed_dict['stress_GPa']\n", + " \n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "a1655241", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_0K(\n", + " structure : Atoms, \n", + " potential_name : str,\n", + " strain : float = 0.005\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_0K(\n", + " structure=structure,\n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "1d4d9117", + "metadata": {}, + "source": [ + "## Reference function to fit elastic constants (Jan + Yury)'s" + ] + }, + { + "cell_type": "markdown", + "id": "921512df", + "metadata": {}, + "source": [ + "Requires only `relaxed_unit_cell` and `potential_name_str` from previous cells" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "abfe2e9f", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(\n", + " structure: Atoms, \n", + " potential: str, \n", + " strains, \n", + " stresses=None, \n", + " energies=None):\n", + "\n", + " task_dict, sym_dict = get_tasks_for_elastic_matrix(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True\n", + " )\n", + "\n", + " potential_df = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict=task_dict,\n", + " potential_dataframe=potential_df,\n", + " )\n", + " \n", + " elastic_dict, sym_dict = analyse_results_for_elastic_matrix(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "07218d2f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_dict = fit_elastic_constants(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str,\n", + " strains=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "2b379a68", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "9d40a4ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.7, 123.6, 76.2])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_reference = [\n", + " elastic_dict['elastic_matrix'][0,0], \n", + " elastic_dict['elastic_matrix'][0,1], \n", + " elastic_dict['elastic_matrix'][3,3]\n", + " ]\n", + "\n", + "np.round(elastic_constants_list_reference, 1) # GPa" + ] + }, + { + "cell_type": "markdown", + "id": "21e47c80", + "metadata": {}, + "source": [ + "In comparison with the [reference paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4 \"M. Krief, et. al., Physical Review E, 103, 063307, 2021\"),\n", + "\n", + "$C_{11}$=169.9GPa, $C_{12}$=122.6GPa, and $C_{44}$=76.2GPa" + ] + }, + { + "cell_type": "markdown", + "id": "3bfb90c7", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "d35b8305", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential : str, \n", + " temperature : float = 500,\n", + " run : int = 100000,\n", + " thermo : int = 100,\n", + " seed : int = 4928459, \n", + " cell_scale_value : int = 5,\n", + " thermostat : str = 'langevin'\n", + " ) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(cell_scale_value)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " # structure_npt = bulk('Cu', a=npt_lattice_constant, cubic=True)\n", + " # structure_repeated_npt = structure_npt.repeat(cell_scale_value)\n", + " \n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], \n", + " [0,npt_lattice_constant,0], \n", + " [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(cell_scale_value)\n", + "\n", + " if thermostat == 'nose-hoover':\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " nvt_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Temperature-dependent Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "249bfe15", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[0;31mSignature:\u001b[0m\n", + "\u001b[0mcalc_molecular_dynamics_langevin_with_lammpslib\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mstructure\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'Atoms'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mpotential_dataframe\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'pandas.DataFrame'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mrun\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'int'\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m100\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mthermo\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'int'\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m100\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mtimestep\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'float'\u001b[0m \u001b[0;34m=\u001b[0m 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thermostat : str\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " if thermostat == 'nose-hoover':\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " # disable_initial_velocity=True\n", + " )\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " # disable_initial_velocity=True\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " relaxed_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " # disable_initial_velocity=True\n", + " )\n", + " strained_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " # disable_initial_velocity=True\n", + " )\n", + "\n", + " relaxed_dict['pressure_GPa'] = relaxed_dict['pressure'] / 10**4\n", + " strained_dict['pressure_GPa'] = strained_dict['pressure'] / 10**4\n", + "\n", + " stress_diff = -np.mean(strained_dict['pressure_GPa'][20:] - relaxed_dict['pressure_GPa'][20:], axis=0)\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "9f46351a", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(\n", + " structure : Atoms, # change to unit cell\n", + " cell_scale_value : int,\n", + " potential_name : str, \n", + " temperature : float = 0, \n", + " strain : float = 0.005,\n", + " run : int = 10000,\n", + " thermo : int = 100, \n", + " seed : int = 42, \n", + " thermostat : str = 'langevin'\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " equilibriated_structure = equilibriate_structure_at_finite_temperature(\n", + " structure=structure,\n", + " potential=potential_name_str, \n", + " temperature=temperature, \n", + " seed=seed,\n", + " cell_scale_value=cell_scale_value\n", + " )\n", + " \n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=equilibriated_structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_finite_temperature(\n", + " structure=equilibriated_structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " thermostat=thermostat\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " # results = [{\n", + " # \"elastic_constants\": elastic_constants_list,\n", + " # \"tensor_dict\": tensor_dict,\n", + " # # \"input_args\": locals()\n", + " # }]\n", + "\n", + " # results_df = pd.DataFrame(results)\n", + " # results_df.to_pickle(f\"{pr.path}/results.pkl\")\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "ede048ce", + "metadata": {}, + "source": [ + "### Convergence tests" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "d79e68dd", + "metadata": {}, + "outputs": [], + "source": [ + "input_params_scale = {\n", + " \"cell_scale_value\" : [3, 5, 7, 9],\n", + " \"run\" : [10000],\n", + " \"temperature\" : [500],\n", + " \"strain\" : [0.0001],\n", + " \"seed\": [1357],\n", + " \"thermostat\" : [\"langevin\"]\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "8997d14f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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130386264finishedNonerun_convergence_b24cc33aad3fb223df1edd5dae4d1cb1/run_convergence_b24cc33aad3fb223df1edd5dae4d1cb1/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/2025-10-15 17:11:23.665513NaTNaNpchilaka@cmti001#2#cmtiPythonFunctionContainerJob0.4NoneNone
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230386279abortedNonerun_convergence_0feac5a3ac27813dff7d8074641b156f/run_convergence_0feac5a3ac27813dff7d8074641b156f/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/2025-10-15 17:15:17.6459132025-10-15 17:15:22.3425114.0pchilaka@cmti001#2#cmtiPythonFunctionContainerJob0.4NoneNone
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pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/ \n", + "\n", + " timestart timestop totalcputime \\\n", + "1 2025-10-15 17:11:23.665513 NaT NaN \n", + "0 2025-10-15 17:11:33.487155 2025-10-15 17:12:19.370010 45.0 \n", + "2 2025-10-15 17:15:17.645913 2025-10-15 17:15:22.342511 4.0 \n", + "\n", + " computer hamilton hamversion parentid \\\n", + "1 pchilaka@cmti001#2#cmti PythonFunctionContainerJob 0.4 None \n", + "0 pchilaka@cmti099#80#cmti PythonFunctionContainerJob 0.4 None \n", + "2 pchilaka@cmti001#2#cmti PythonFunctionContainerJob 0.4 None \n", + "\n", + " masterid \n", + "1 None \n", + "0 None \n", + "2 None " + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pr.job_table()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "64a69658", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'cell_scale_value': 3, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 5, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 7, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 9, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n" + ] + } + ], + "source": [ + "from itertools import product\n", + "keys = input_params_scale.keys()\n", + "values = input_params_scale.values()\n", + "\n", + "for combo in product(*values):\n", + " params = dict(zip(keys, combo))\n", + " print(params)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "3d1ef5ee", + "metadata": {}, + "outputs": [], + "source": [ + "input_params_scale = {\n", + " \"cell_scale_value\" : [4],\n", + " \"run\" : [10000],\n", + " \"temperature\" : [500],\n", + " \"strain\" : [0.0001],\n", + " \"seed\": [1357],\n", + " \"thermostat\" : [\"langevin\"]\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f17dd89b", + "metadata": {}, + "outputs": [], + "source": [ + "# def run_convergence(structure, potential_name_str, input_params, project):\n", + "\n", + "# from itertools import product\n", + "# from pyiron_base import job\n", + " \n", + "# keys = input_params.keys()\n", + "# values = input_params.values()\n", + "\n", + "# for combo in product(*values):\n", + "# params = dict(zip(keys, combo))\n", + "# print(params)\n", + "\n", + "# conv_job = job(calculate_elastic_constants_at_finite_temperature)\n", + "# conv_out = conv_job(\n", + "# structure = structure,\n", + "# potential_name = potential_name_str,\n", + "# pyiron_project = project,\n", + "# **params\n", + "# )\n", + "\n", + "# conv_out.server.queue = \"cmti\"\n", + "# conv_out.server.cores = 80\n", + "# conv_out.server.run_time = 21600\n", + "\n", + "# conv_future = conv_out.pull()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "ff344c4e", + "metadata": {}, + "outputs": [], + "source": [ + "def run_convergence(structure, potential_name_str, input_params):\n", + "\n", + " from itertools import product\n", + " from pyiron_base import job\n", + " \n", + " keys = input_params.keys()\n", + " values = input_params.values()\n", + "\n", + " for combo in product(*values):\n", + " params = dict(zip(keys, combo))\n", + " print(params)\n", + "\n", + " elastic_list, tensor_dict = calculate_elastic_constants_at_finite_temperature(\n", + " structure = structure,\n", + " potential_name = potential_name_str,\n", + " **params\n", + " )\n", + "\n", + " return elastic_list, tensor_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "519ec343", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'cell_scale_value': 4, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_list, tensor_dict = run_convergence(relaxed_unit_cell, potential_name_str, input_params_scale)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "6ea55186", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[155.97140466021006, 333.15571147056687, 10.592895237158505]" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_list" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "d267a794", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "ename": "Exception", + "evalue": "ERROR: Illegal fix langevin command (src/fix_langevin.cpp:59)", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mException\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[55], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m elastic_list, tensor_dict \u001b[38;5;241m=\u001b[39m \u001b[43mcalculate_elastic_constants_at_finite_temperature\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 2\u001b[0m \u001b[43m \u001b[49m\u001b[43mstructure\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mrelaxed_unit_cell\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 3\u001b[0m \u001b[43m \u001b[49m\u001b[43mcell_scale_value\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m4\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 4\u001b[0m \u001b[43m \u001b[49m\u001b[43mpotential_name\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mpotential_name_str\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 5\u001b[0m \u001b[43m \u001b[49m\u001b[43mtemperature\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m500\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 6\u001b[0m \u001b[43m \u001b[49m\u001b[43mstrain\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m0.0001\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 7\u001b[0m \u001b[43m \u001b[49m\u001b[43mseed\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m1357\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 8\u001b[0m \u001b[43m \u001b[49m\u001b[43mthermostat\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mlangevin\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\n\u001b[1;32m 9\u001b[0m \u001b[43m)\u001b[49m\n", + "Cell \u001b[0;32mIn[52], line 32\u001b[0m, in \u001b[0;36mcalculate_elastic_constants_at_finite_temperature\u001b[0;34m(structure, cell_scale_value, potential_name, temperature, strain, run, thermo, seed, thermostat)\u001b[0m\n\u001b[1;32m 30\u001b[0m tensor_dict \u001b[38;5;241m=\u001b[39m {}\n\u001b[1;32m 31\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m constant_str, deformation_gradient \u001b[38;5;129;01min\u001b[39;00m deformation_gradient_dict\u001b[38;5;241m.\u001b[39mitems():\n\u001b[0;32m---> 32\u001b[0m diff, relaxed_dict, strained_dict \u001b[38;5;241m=\u001b[39m \u001b[43mget_stress_tensor_at_finite_temperature\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 33\u001b[0m \u001b[43m \u001b[49m\u001b[43mstructure\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mequilibriated_structure\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 34\u001b[0m \u001b[43m \u001b[49m\u001b[43mpotential_dataframe\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdf_pot_selected\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 35\u001b[0m \u001b[43m \u001b[49m\u001b[43mdeformation_gradient\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdeformation_gradient\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 36\u001b[0m \u001b[43m \u001b[49m\u001b[43mtemperature\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mtemperature\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 37\u001b[0m \u001b[43m \u001b[49m\u001b[43mrun\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mrun\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 38\u001b[0m \u001b[43m \u001b[49m\u001b[43mthermo\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mthermo\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 39\u001b[0m \u001b[43m \u001b[49m\u001b[43mthermostat\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mthermostat\u001b[49m\n\u001b[1;32m 40\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 42\u001b[0m tensor_dict[constant_str] \u001b[38;5;241m=\u001b[39m diff\n\u001b[1;32m 43\u001b[0m tensor_dict[\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mrelaxed_dict_\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mconstant_str\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m'\u001b[39m] \u001b[38;5;241m=\u001b[39m relaxed_dict\n", + "Cell \u001b[0;32mIn[22], line 41\u001b[0m, in \u001b[0;36mget_stress_tensor_at_finite_temperature\u001b[0;34m(structure, potential_dataframe, deformation_gradient, temperature, run, thermo, thermostat)\u001b[0m\n\u001b[1;32m 30\u001b[0m strained_dict \u001b[38;5;241m=\u001b[39m calc_molecular_dynamics_nvt_with_lammpslib(\n\u001b[1;32m 31\u001b[0m structure\u001b[38;5;241m=\u001b[39mstructure_strained, \n\u001b[1;32m 32\u001b[0m potential_dataframe\u001b[38;5;241m=\u001b[39mpotential_dataframe,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 37\u001b[0m disable_initial_velocity\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m\n\u001b[1;32m 38\u001b[0m )\n\u001b[1;32m 40\u001b[0m \u001b[38;5;28;01melif\u001b[39;00m thermostat \u001b[38;5;241m==\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlangevin\u001b[39m\u001b[38;5;124m'\u001b[39m:\n\u001b[0;32m---> 41\u001b[0m relaxed_dict \u001b[38;5;241m=\u001b[39m \u001b[43mcalc_molecular_dynamics_langevin_with_lammpslib\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 42\u001b[0m \u001b[43m \u001b[49m\u001b[43mstructure\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mstructure\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 43\u001b[0m \u001b[43m \u001b[49m\u001b[43mpotential_dataframe\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mpotential_dataframe\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 44\u001b[0m \u001b[43m \u001b[49m\u001b[43mTstart\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mtemperature\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 45\u001b[0m \u001b[43m \u001b[49m\u001b[43mTstop\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mtemperature\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 46\u001b[0m \u001b[43m \u001b[49m\u001b[43mrun\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mrun\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 47\u001b[0m \u001b[43m \u001b[49m\u001b[43mthermo\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mthermo\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 48\u001b[0m \u001b[43m \u001b[49m\u001b[43mdisable_initial_velocity\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\n\u001b[1;32m 49\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 50\u001b[0m strained_dict \u001b[38;5;241m=\u001b[39m calc_molecular_dynamics_langevin_with_lammpslib(\n\u001b[1;32m 51\u001b[0m structure\u001b[38;5;241m=\u001b[39mstructure_strained, \n\u001b[1;32m 52\u001b[0m potential_dataframe\u001b[38;5;241m=\u001b[39mpotential_dataframe,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 57\u001b[0m disable_initial_velocity\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m\n\u001b[1;32m 58\u001b[0m )\n\u001b[1;32m 60\u001b[0m relaxed_dict[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mpressure_GPa\u001b[39m\u001b[38;5;124m'\u001b[39m] \u001b[38;5;241m=\u001b[39m relaxed_dict[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mpressure\u001b[39m\u001b[38;5;124m'\u001b[39m] \u001b[38;5;241m/\u001b[39m \u001b[38;5;241m10\u001b[39m\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m4\u001b[39m\n", + "File \u001b[0;32m/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/libcalculator.py:442\u001b[0m, in \u001b[0;36mcalc_molecular_dynamics_langevin_with_lammpslib\u001b[0;34m(structure, potential_dataframe, run, thermo, timestep, Tstart, Tstop, Tdamp, seed, dist, disable_initial_velocity, lmp, output_keys, **kwargs)\u001b[0m\n\u001b[1;32m 433\u001b[0m input_template \u001b[38;5;241m=\u001b[39m Template(init_str)\u001b[38;5;241m.\u001b[39mrender(\n\u001b[1;32m 434\u001b[0m thermo\u001b[38;5;241m=\u001b[39mthermo,\n\u001b[1;32m 435\u001b[0m temp\u001b[38;5;241m=\u001b[39mTstart,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 439\u001b[0m timestep\u001b[38;5;241m=\u001b[39mtimestep,\n\u001b[1;32m 440\u001b[0m )\n\u001b[1;32m 441\u001b[0m run_str \u001b[38;5;241m=\u001b[39m LAMMPS_RUN \u001b[38;5;241m+\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m--> 442\u001b[0m lmp_instance \u001b[38;5;241m=\u001b[39m \u001b[43mlammps_run\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 443\u001b[0m \u001b[43m \u001b[49m\u001b[43mstructure\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mstructure\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 444\u001b[0m \u001b[43m \u001b[49m\u001b[43mpotential_dataframe\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mpotential_dataframe\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 445\u001b[0m \u001b[43m \u001b[49m\u001b[43minput_template\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43minput_template\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 446\u001b[0m \u001b[43m \u001b[49m\u001b[43mlmp\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mlmp\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 447\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 448\u001b[0m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 449\u001b[0m result_dict \u001b[38;5;241m=\u001b[39m lammps_calc_md(\n\u001b[1;32m 450\u001b[0m lmp_instance\u001b[38;5;241m=\u001b[39mlmp_instance,\n\u001b[1;32m 451\u001b[0m run_str\u001b[38;5;241m=\u001b[39mrun_str,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 454\u001b[0m output_keys\u001b[38;5;241m=\u001b[39moutput_keys,\n\u001b[1;32m 455\u001b[0m )\n\u001b[1;32m 456\u001b[0m lammps_shutdown(lmp_instance\u001b[38;5;241m=\u001b[39mlmp_instance, close_instance\u001b[38;5;241m=\u001b[39mlmp \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m)\n", + "File \u001b[0;32m/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:45\u001b[0m, in \u001b[0;36mlammps_run\u001b[0;34m(structure, potential_dataframe, input_template, lmp, **kwargs)\u001b[0m\n\u001b[1;32m 43\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m input_template \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 44\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m line \u001b[38;5;129;01min\u001b[39;00m input_template\u001b[38;5;241m.\u001b[39msplit(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;124m\"\u001b[39m):\n\u001b[0;32m---> 45\u001b[0m \u001b[43mlmp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43minteractive_lib_command\u001b[49m\u001b[43m(\u001b[49m\u001b[43mline\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 47\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m lmp\n", + "File \u001b[0;32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/pylammpsmpi/wrapper/ase.py:82\u001b[0m, in \u001b[0;36mLammpsASELibrary.interactive_lib_command\u001b[0;34m(self, command)\u001b[0m\n\u001b[1;32m 80\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_logger \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 81\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_logger\u001b[38;5;241m.\u001b[39mdebug(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mLammps library: \u001b[39m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;241m+\u001b[39m command)\n\u001b[0;32m---> 82\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_interactive_library\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcommand\u001b[49m\u001b[43m(\u001b[49m\u001b[43mcommand\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/lammps/core.py:617\u001b[0m, in \u001b[0;36mlammps.command\u001b[0;34m(self, cmd)\u001b[0m\n\u001b[1;32m 614\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m cmd: cmd \u001b[38;5;241m=\u001b[39m cmd\u001b[38;5;241m.\u001b[39mencode()\n\u001b[1;32m 615\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m: \u001b[38;5;28;01mreturn\u001b[39;00m\n\u001b[0;32m--> 617\u001b[0m \u001b[43m\u001b[49m\u001b[38;5;28;43;01mwith\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mExceptionCheck\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m:\u001b[49m\n\u001b[1;32m 618\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mlib\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mlammps_command\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mlmp\u001b[49m\u001b[43m,\u001b[49m\u001b[43mcmd\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/lammps/core.py:49\u001b[0m, in \u001b[0;36mExceptionCheck.__exit__\u001b[0;34m(self, exc_type, exc_value, traceback)\u001b[0m\n\u001b[1;32m 47\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21m__exit__\u001b[39m(\u001b[38;5;28mself\u001b[39m, exc_type, exc_value, traceback):\n\u001b[1;32m 48\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mlmp\u001b[38;5;241m.\u001b[39mhas_exceptions \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mlmp\u001b[38;5;241m.\u001b[39mlib\u001b[38;5;241m.\u001b[39mlammps_has_error(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mlmp\u001b[38;5;241m.\u001b[39mlmp):\n\u001b[0;32m---> 49\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mlmp\u001b[38;5;241m.\u001b[39m_lammps_exception\n", + "\u001b[0;31mException\u001b[0m: ERROR: Illegal fix langevin command (src/fix_langevin.cpp:59)" + ] + } + ], + "source": [ + "elastic_list, tensor_dict = calculate_elastic_constants_at_finite_temperature(\n", + " structure=relaxed_unit_cell,\n", + " cell_scale_value=4,\n", + " potential_name=potential_name_str,\n", + " temperature=500,\n", + " strain=0.0001,\n", + " seed=1357,\n", + " thermostat='langevin'\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "8ad1dc09", + "metadata": {}, + "outputs": [], + "source": [ + "convergence_job = job(run_convergence)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "fa6a27a6", + "metadata": {}, + "outputs": [], + "source": [ + "convergence_out = convergence_job(\n", + " structure=relaxed_unit_cell,\n", + " potential_name_str=potential_name_str,\n", + " input_params = input_params_scale,\n", + " project = pr,\n", + " pyiron_project = pr\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "c649eb62", + "metadata": {}, + "outputs": [], + "source": [ + "# convergence_out.server.queue = 'cmti'\n", + "# convergence_out.server.cores = 2\n", + "# convergence_out.server.run_time = 3600" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "0564273b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "convergence_out" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "fd63ea61", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The job run_convergence_f5b5749628530b6cdbb8f6ac15713727 was saved and received the ID: 30386307\n", + "{'cell_scale_value': 4, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "The job calculate_elastic_constants_at_finite_temperature_1b88a6914921284854001e258d3bfebe was saved and received the ID: 30386308\n", + "Queue system id: 18560072\n" + ] + } + ], + "source": [ + "convergence_future = convergence_out.pull()" + ] + }, + { + "cell_type": "markdown", + "id": "16ff5591", + "metadata": {}, + "source": [ + "* 1- outer - submitted\n", + "* 0- inner - submitted from 1\n", + "* 2- outer - submitted, meant to have inner running on same node\n", + "* 4- outer - ran locally\n", + "* 3- submitted from 4" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "7c5a854f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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130386264finishedNonerun_convergence_b24cc33aad3fb223df1edd5dae4d1cb1/run_convergence_b24cc33aad3fb223df1edd5dae4d1cb1/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/2025-10-15 17:11:23.665513NaTNaNpchilaka@cmti001#2#cmtiPythonFunctionContainerJob0.4NoneNone
030386265abortedNonecalculate_elastic_constants_at_finite_temperature_20f28325040f9ed4a8f9bb1090907812/calculate_elastic_constants_at_finite_temperature_20f28325040f9ed4a8f9bb1090907812/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/2025-10-15 17:11:33.4871552025-10-15 17:12:19.37001045.0pchilaka@cmti099#80#cmtiPythonFunctionContainerJob0.4NoneNone
230386279abortedNonerun_convergence_0feac5a3ac27813dff7d8074641b156f/run_convergence_0feac5a3ac27813dff7d8074641b156f/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/2025-10-15 17:15:17.6459132025-10-15 17:15:22.3425114.0pchilaka@cmti001#2#cmtiPythonFunctionContainerJob0.4NoneNone
430386307finishedNonerun_convergence_f5b5749628530b6cdbb8f6ac15713727/run_convergence_f5b5749628530b6cdbb8f6ac15713727/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/2025-10-15 17:19:51.462979NaTNaNpchilaka@cmti001#1PythonFunctionContainerJob0.4NoneNone
330386308abortedNonecalculate_elastic_constants_at_finite_temperature_1b88a6914921284854001e258d3bfebe/calculate_elastic_constants_at_finite_temperature_1b88a6914921284854001e258d3bfebe/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/2025-10-15 17:19:51.5992652025-10-15 17:21:26.51727094.0pchilaka@cmti001#80#cmtiPythonFunctionContainerJob0.4NoneNone
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\n", + "\n", + " projectpath \\\n", + "1 /cmmc/u/ \n", + "0 /cmmc/u/ \n", + "2 /cmmc/u/ \n", + "4 /cmmc/u/ \n", + "3 /cmmc/u/ \n", + "\n", + " project \\\n", + "1 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/ \n", + "0 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/ \n", + "2 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/ \n", + "4 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/ \n", + "3 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_3/ \n", + "\n", + " timestart timestop totalcputime \\\n", + "1 2025-10-15 17:11:23.665513 NaT NaN \n", + "0 2025-10-15 17:11:33.487155 2025-10-15 17:12:19.370010 45.0 \n", + "2 2025-10-15 17:15:17.645913 2025-10-15 17:15:22.342511 4.0 \n", + "4 2025-10-15 17:19:51.462979 NaT NaN \n", + "3 2025-10-15 17:19:51.599265 2025-10-15 17:21:26.517270 94.0 \n", + "\n", + " computer hamilton hamversion parentid \\\n", + "1 pchilaka@cmti001#2#cmti PythonFunctionContainerJob 0.4 None \n", + "0 pchilaka@cmti099#80#cmti PythonFunctionContainerJob 0.4 None \n", + "2 pchilaka@cmti001#2#cmti PythonFunctionContainerJob 0.4 None \n", + "4 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "3 pchilaka@cmti001#80#cmti PythonFunctionContainerJob 0.4 None \n", + "\n", + " masterid \n", + "1 None \n", + "0 None \n", + "2 None \n", + "4 None \n", + "3 None " + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pr.job_table()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "816de0f4", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "25e9aa04", + "metadata": {}, + "source": [ + "## Some annoying testing" + ] + }, + { + "cell_type": "markdown", + "id": "785c407e", + "metadata": {}, + "source": [ + "* 1 - submitted\n", + "* 3 - ran inside the submitted 1\n", + "* 0 - ran locally\n", + "* 2 - ran locally\n", + "* 4 - ran locally, submitted 5\n", + "* 5 - ran on compute node" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "85965f89", + "metadata": {}, + "outputs": [], + "source": [ + "pr.job_table()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "95e404c8", + "metadata": {}, + "outputs": [], + "source": [ + "tj = pr.load(30360556)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "82cf475e", + "metadata": {}, + "outputs": [], + "source": [ + "tj.output" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "eb4a0eee", + "metadata": {}, + "outputs": [], + "source": [ + "for idx, row in pr.job_table().iterrows():\n", + " pr.wait_for_job(row['job'], )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "de888d41", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c942d486", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "42ccf118", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "b22947ea", + "metadata": {}, + "source": [ + "## Pyiron table" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7e422ab5", + "metadata": {}, + "outputs": [], + "source": [ + "def db_filter_function(job_table):\n", + " return (job_table.status == \"finished\") & (job_table.hamilton == \"PythonFunctionContainerJob\")\n", + "\n", + "def job_filter_function(job):\n", + " return (job.status == \"finished\") & (\"calculate\" in job.name)\n", + "\n", + "def get_input_structure(job):\n", + " return job.project_hdf5['input']['data']['structure']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cb4cafc7", + "metadata": {}, + "outputs": [], + "source": [ + "table = pr.create.table(\"Convergence_pyiron_table\", delete_existing_job=True)\n", + "\n", + "# table.db_filter_function = db_filter_function\n", + "table.filter_function = job_filter_function\n", + "\n", + "table.add[\"input_structure\"] = get_input_structure\n", + "\n", + "table.run(delete_existing_job=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3b0d257f", + "metadata": {}, + "outputs": [], + "source": [ + "table.get_dataframe()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1040ef80", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "atomistics", + "language": "python", + "name": "dev-atomistics" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_17-09-25.ipynb b/hackathon/elastic_constants/MD/MD_17-09-25.ipynb new file mode 100644 index 0000000..9ddb295 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_17-09-25.ipynb @@ -0,0 +1,1856 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:63: UserWarning: calc_static_with_qe(), evaluate_with_qe() and optimize_positions_and_volume_with_qe() are not available as the import of the module named 'pwtools' failed.\n", + " raise_warning(module_list=quantum_espresso_function, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/__init__.py:41: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:94: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " # analyse_structures_helper,\n", + " # generate_structures_helper,\n", + "\n", + " get_tasks_for_elastic_matrix,\n", + " analyse_results_for_elastic_matrix\n", + ")\n", + "\n", + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name\n", + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_npt_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_nvt_with_lammpslib" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True)\n", + "len(unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1007230a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "500" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5)\n", + "len(repeated_unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict = None) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There is at least one non-excluded one OpenFabrics device found,\n", + "but there are no active ports detected (or Open MPI was unable to use\n", + "them). This is most certainly not what you wanted. Check your\n", + "cables, subnet manager configuration, etc. The openib BTL will be\n", + "ignored for this job.\n", + "\n", + " Local host: cmti001\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(\n", + " unit_cell, \n", + " potential_name_str, \n", + " lmp_optimizer_kwargs\n", + " )\n", + "\n", + "relaxed_unit_cell" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict = None) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(\n", + " structure=structure, \n", + " potential=potential,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "3.61500008107858" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(\n", + " structure=unit_cell, \n", + " potential=potential_name_str,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs)\n", + "\n", + "a_0" + ] + }, + { + "cell_type": "markdown", + "id": "1d4d9117", + "metadata": {}, + "source": [ + "## Reference function to fit elastic constants (Jan + Yury)'s" + ] + }, + { + "cell_type": "markdown", + "id": "921512df", + "metadata": {}, + "source": [ + "Requires only `relaxed_unit_cell` and `potential_name_str` from previous cells" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "abfe2e9f", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(structure: Atoms, potential: str, strains, stresses=None, energies=None):\n", + "\n", + " task_dict, sym_dict = get_tasks_for_elastic_matrix(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True\n", + " )\n", + "\n", + " potential_df = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict=task_dict,\n", + " potential_dataframe=potential_df,\n", + " )\n", + " \n", + " elastic_dict, sym_dict = analyse_results_for_elastic_matrix(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "07218d2f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "# relaxed_structure = get_relaxed_structure_at_0K(unit_cell, potential_name_str)\n", + "elastic_dict = fit_elastic_constants(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str,\n", + " strains=None\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "2b379a68", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "9d40a4ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[169.74837326961014, 123.55258250676765, 76.24914297264033]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_reference = [\n", + " elastic_dict['elastic_matrix'][0,0], \n", + " elastic_dict['elastic_matrix'][0,1], \n", + " elastic_dict['elastic_matrix'][3,3]\n", + " ]\n", + "\n", + "elastic_constants_list_reference" + ] + }, + { + "cell_type": "markdown", + "id": "3bfb90c7", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "d35b8305", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(\n", + " structure : Atoms, potential : str, \n", + " temperature : float = 500, seed : int = 4928459, cell_scale_value : int = 5\n", + " ) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(cell_scale_value)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " )\n", + " \n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # structure_repeated_npt = bulk('Cu', a=npt_lattice_constant, cubic=True).repeat(5)\n", + "\n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], \n", + " [0,npt_lattice_constant,0], \n", + " [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(cell_scale_value)\n", + "\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " ) \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "markdown", + "id": "803d0061", + "metadata": {}, + "source": [ + "### Run for different sizes" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "e17c1cb2", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_r5 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234,\n", + " cell_scale_value=5\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "95f5b456", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_r6 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234,\n", + " cell_scale_value=6\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "253fdbb2", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_r7 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234,\n", + " cell_scale_value=7\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "27dda665", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "864" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(repeated_unit_cell_nvt_300_r6)" + ] + }, + { + "cell_type": "markdown", + "id": "8504d819", + "metadata": {}, + "source": [ + "### Run for different temps" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "1ceda1c9", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=4928459\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ca412583", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "# input should be a unit cell and the output is a repeated cell\n", + "\n", + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=4928459\n", + " )\n", + "repeated_unit_cell_nvt_500 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=500, \n", + " seed=4928459\n", + " )\n", + "repeated_unit_cell_nvt_800 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str, \n", + " temperature=800, \n", + " seed=4928459\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "50657869", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(Atoms(symbols='Cu500', pbc=True, cell=[18.159633978016213, 18.159633978016213, 18.159633978016213], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.22042115296756, 18.22042115296756, 18.22042115296756], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.32144627231945, 18.32144627231945, 18.32144627231945], momenta=...))" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300, repeated_unit_cell_nvt_500, repeated_unit_cell_nvt_800" + ] + }, + { + "cell_type": "markdown", + "id": "287c3799", + "metadata": {}, + "source": [ + "### Re-run for different seeds to observe the change" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "cf846c16", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234\n", + " )\n", + "repeated_unit_cell_nvt_300_2 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=9876\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "e4e42d8b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "f2d8b550", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 == repeated_unit_cell_nvt_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "7404bcd8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Temperature-dependent Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "ee8a3478", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(structure : Atoms, strain : float = 0.005):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "91650a2c", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(tensor_dict : dict, strain : float) -> list[float]:\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "5f64df64", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(\n", + " structure : Atoms,\n", + " structure_strained : Atoms, \n", + " potential_dataframe : pd.DataFrame\n", + " ):\n", + " \n", + " relaxed_dict = calc_static_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " strained_dict = calc_static_with_lammpslib(\n", + " structure=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + "\n", + " stress_diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "a8c9f0bf", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(\n", + " structure : Atoms, structure_strained : Atoms, potential_dataframe : pd.DataFrame,\n", + " temperature : float, seed : int, thermo : int\n", + " ):\n", + " \n", + " # now we can use disable_initial_velocity=True\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + "\n", + " stress_diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "6a373e2b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_specific_temperature(\n", + " structure : Atoms, potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array, temperature : float, \n", + " seed : int, thermo : int\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + "\n", + " if temperature == 0:\n", + " stress_diff, relaxed_dict, strained_dict = get_stress_tensor_at_0K(\n", + " structure=structure,\n", + " structure_strained=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " else:\n", + " stress_diff, relaxed_dict, strained_dict = get_stress_tensor_at_finite_temperature(\n", + " structure=structure,\n", + " structure_strained=structure_strained,\n", + " potential_dataframe=potential_dataframe,\n", + " temperature=temperature,\n", + " seed=seed,\n", + " thermo=thermo\n", + " )\n", + " \n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "07d6d1d5", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_specific_temperature(\n", + " structure : Atoms, potential_name : str, temperature : float = 0, \n", + " strain : float = 0.005, seed : int = 4928459, thermo : int = 100\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_specific_temperature(\n", + " structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " seed=seed,\n", + " thermo=thermo\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "b6f2187c", + "metadata": {}, + "source": [ + "### 0K Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "b1366a8f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0, tensor_dict_0 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential_name=potential_name_str,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "a3db42f8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the 0K code was independent\n", + "elastic_constants_list_0" + ] + }, + { + "cell_type": "markdown", + "id": "bd68a586", + "metadata": {}, + "source": [ + "### Finite temperature Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "fcb74b32", + "metadata": {}, + "source": [ + "#### Run for different sizes" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "02b5c2ea", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_r5, tensor_dict_300_r5 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_r5, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "ba16fdbb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_r6, tensor_dict_300_r6 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_r6, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "e491482e", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_r7, tensor_dict_300_r7 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_r7, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "5a10573e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([157.91269612, 119.76151814, 72.00782814]),\n", + " array([163.15467566, 120.196032 , 70.42444026]),\n", + " array([161.97714712, 116.00823097, 73.06226292]))" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(elastic_constants_list_300_r5)/10**4, np.array(elastic_constants_list_300_r6)/10**4, np.array(elastic_constants_list_300_r7)/10**4" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "6e5239a5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1372" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(repeated_unit_cell_nvt_300_r7)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "ff30b899", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "141.7340813120839\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 4))\n", + "\n", + "ax1.set_title(f'Relaxed stress - 300K, \\n{len(repeated_unit_cell_nvt_300_r5)} atoms')\n", + "ax1.plot(tensor_dict_300_r5['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_r5 = np.mean(tensor_dict_300_r5['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "ax1.axhline(mean_run_r5)\n", + "print(mean_run_r5)\n", + "ax1.set_ylim([-3000, 8000])\n", + "\n", + "ax2.set_title(f'Relaxed stress - 300K, \\n{len(repeated_unit_cell_nvt_300_r6)} atoms')\n", + "ax2.plot(tensor_dict_300_r6['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_r6 = np.mean(tensor_dict_300_r6['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "ax2.axhline(mean_run_r6)\n", + "mean_run_r6\n", + "ax2.set_ylim([-3000, 8000])\n", + "\n", + "\n", + "ax3.set_title(f'Relaxed stress - 300K, \\n{len(repeated_unit_cell_nvt_300_r7)} atoms')\n", + "ax3.plot(tensor_dict_300_r7['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_r7 = np.mean(tensor_dict_300_r7['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "ax3.axhline(mean_run_r7)\n", + "mean_run_r7\n", + "ax3.set_ylim([-3000, 8000])\n", + "\n", + "\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cb5ca196", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3607a825", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "46c7add7", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "b9713897", + "metadata": {}, + "source": [ + "#### Run 0" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "e853de44", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300, tensor_dict_300 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bf2da33d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_500, tensor_dict_500 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_500, \n", + " potential_name=potential_name_str,\n", + " temperature=500,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "0444dcca", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_800, tensor_dict_800 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_800, \n", + " potential_name=potential_name_str,\n", + " temperature=800,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "b5378f7b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the finite temp code was independent\n", + "elastic_constants_list_300, elastic_constants_list_500, elastic_constants_list_800" + ] + }, + { + "cell_type": "markdown", + "id": "e376c301", + "metadata": {}, + "source": [ + "#### Run 1 - different seed" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "1f88bad9", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_1, tensor_dict_300_1 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_1, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo= 100\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "b59baacb", + "metadata": {}, + "source": [ + "#### Run 2 - different seed" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "980af781", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_2, tensor_dict_300_2 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_2, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=9876,\n", + " thermo= 100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "8677c191", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1708047.1698537243, 1200998.912591118, 736383.9337147959]" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "43d86cb5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1579126.9611630437, 1197615.1814067382, 720078.2814069496]" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "d16ed341", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1581674.8486534993, 1198248.1584729487, 703985.7860454394]" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_2" + ] + }, + { + "cell_type": "markdown", + "id": "981bfa77", + "metadata": {}, + "source": [ + "#### Diagnostics" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "d33b7f32", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-2500.0, 6000.0)" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Relaxed stress - Run 0')\n", + "plt.plot(tensor_dict_300['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_0 = np.mean(tensor_dict_300['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "plt.axhline(mean_run_0)\n", + "mean_run_0\n", + "plt.ylim([-2500, 6000])" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "ba7ca3f7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-2500.0, 6000.0)" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Relaxed stress - Run 1')\n", + "plt.plot(tensor_dict_300_1['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_1 = np.mean(tensor_dict_300_1['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "plt.axhline(mean_run_1)\n", + "mean_run_1\n", + "plt.ylim([-2500, 6000])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "0f787209", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Strained stress - Run 1')" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(tensor_dict_300_1['strained_dict_C11']['pressure'][:,:,0])\n", + "plt.axhline(np.mean(tensor_dict_300_1['strained_dict_C11']['pressure'][20:,0,0], axis = 0))\n", + "plt.title('Strained stress - Run 1')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5e292476", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "atomistics", + "language": "python", + "name": "dev-atomistics" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_17-09-25_langevin.ipynb b/hackathon/elastic_constants/MD/MD_17-09-25_langevin.ipynb new file mode 100644 index 0000000..f72602b --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_17-09-25_langevin.ipynb @@ -0,0 +1,1878 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "314284cf", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:63: UserWarning: calc_static_with_qe(), evaluate_with_qe() and optimize_positions_and_volume_with_qe() are not available as the import of the module named 'pwtools' failed.\n", + " raise_warning(module_list=quantum_espresso_function, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/__init__.py:41: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:94: UserWarning: calc_molecular_dynamics_phonons_with_lammpslib() is not available as the import of the module named 'dynaphopy' failed.\n", + " raise_warning(module_list=lammps_phonon_functions, import_error=e)\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " # analyse_structures_helper,\n", + " # generate_structures_helper,\n", + "\n", + " get_tasks_for_elastic_matrix,\n", + " analyse_results_for_elastic_matrix\n", + ")\n", + "\n", + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name\n", + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib\n", + "from atomistics.calculators.lammps.libcalculator import calc_molecular_dynamics_langevin_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_npt_with_lammpslib\n", + "from atomistics.calculators import calc_molecular_dynamics_nvt_with_lammpslib" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "4ce06b81", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True)\n", + "len(unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "1007230a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "500" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5)\n", + "len(repeated_unit_cell)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict = None) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There is at least one non-excluded one OpenFabrics device found,\n", + "but there are no active ports detected (or Open MPI was unable to use\n", + "them). This is most certainly not what you wanted. Check your\n", + "cables, subnet manager configuration, etc. The openib BTL will be\n", + "ignored for this job.\n", + "\n", + " Local host: cmti001\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.6150000810785805, 3.6150000810785805, 3.6150000810785805])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(\n", + " unit_cell, \n", + " potential_name_str, \n", + " lmp_optimizer_kwargs\n", + " )\n", + "\n", + "relaxed_unit_cell" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str, lmp_optimizer_kwargs : dict = None) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(\n", + " structure=structure, \n", + " potential=potential,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "3.61500008107858" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(\n", + " structure=unit_cell, \n", + " potential=potential_name_str,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs)\n", + "\n", + "a_0" + ] + }, + { + "cell_type": "markdown", + "id": "1d4d9117", + "metadata": {}, + "source": [ + "## Reference function to fit elastic constants (Jan + Yury)'s" + ] + }, + { + "cell_type": "markdown", + "id": "921512df", + "metadata": {}, + "source": [ + "Requires only `relaxed_unit_cell` and `potential_name_str` from previous cells" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "abfe2e9f", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(structure: Atoms, potential: str, strains, stresses=None, energies=None):\n", + "\n", + " task_dict, sym_dict = get_tasks_for_elastic_matrix(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True\n", + " )\n", + "\n", + " potential_df = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict=task_dict,\n", + " potential_dataframe=potential_df,\n", + " )\n", + " \n", + " elastic_dict, sym_dict = analyse_results_for_elastic_matrix(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "07218d2f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "# relaxed_structure = get_relaxed_structure_at_0K(unit_cell, potential_name_str)\n", + "elastic_dict = fit_elastic_constants(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str,\n", + " strains=None\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "2b379a68", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "9d40a4ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[169.74837326961014, 123.55258250676765, 76.24914297264033]" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_reference = [\n", + " elastic_dict['elastic_matrix'][0,0], \n", + " elastic_dict['elastic_matrix'][0,1], \n", + " elastic_dict['elastic_matrix'][3,3]\n", + " ]\n", + "\n", + "elastic_constants_list_reference" + ] + }, + { + "cell_type": "markdown", + "id": "3bfb90c7", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "d35b8305", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(\n", + " structure : Atoms, potential : str, \n", + " temperature : float = 500, seed : int = 4928459, cell_scale_value : int = 5\n", + " ) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(cell_scale_value)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " )\n", + " \n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # structure_repeated_npt = bulk('Cu', a=npt_lattice_constant, cubic=True).repeat(5)\n", + "\n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], \n", + " [0,npt_lattice_constant,0], \n", + " [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(cell_scale_value)\n", + "\n", + " # nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " # structure=structure_repeated_npt,\n", + " # potential_dataframe=df_pot_selected,\n", + " # Tstart=temperature,\n", + " # Tstop=temperature,\n", + " # run=10000,\n", + " # thermo=100,\n", + " # seed=seed\n", + " # ) \n", + " nvt_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=100,\n", + " seed=seed\n", + " ) \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "markdown", + "id": "803d0061", + "metadata": {}, + "source": [ + "### Run for different sizes" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "e17c1cb2", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_r5 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234,\n", + " cell_scale_value=5\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "95f5b456", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_r6 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234,\n", + " cell_scale_value=6\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "253fdbb2", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_r7 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234,\n", + " cell_scale_value=7\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "27dda665", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(500, 864, 1372)" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(repeated_unit_cell_nvt_300_r5), len(repeated_unit_cell_nvt_300_r6), len(repeated_unit_cell_nvt_300_r7)" + ] + }, + { + "cell_type": "markdown", + "id": "8504d819", + "metadata": {}, + "source": [ + "### Run for different temps" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "a79f0164", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=4928459\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "ca412583", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "# input should be a unit cell and the output is a repeated cell\n", + "\n", + "repeated_unit_cell_nvt_300 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=4928459\n", + " )\n", + "repeated_unit_cell_nvt_500 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=500, \n", + " seed=4928459\n", + " )\n", + "repeated_unit_cell_nvt_800 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str, \n", + " temperature=800, \n", + " seed=4928459\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "50657869", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(Atoms(symbols='Cu500', pbc=True, cell=[18.159633978016213, 18.159633978016213, 18.159633978016213], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.22042115296756, 18.22042115296756, 18.22042115296756], momenta=...),\n", + " Atoms(symbols='Cu500', pbc=True, cell=[18.32144627231945, 18.32144627231945, 18.32144627231945], momenta=...))" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300, repeated_unit_cell_nvt_500, repeated_unit_cell_nvt_800" + ] + }, + { + "cell_type": "markdown", + "id": "287c3799", + "metadata": {}, + "source": [ + "### Re-run for different seeds to observe the change" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "id": "cf846c16", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=1234\n", + " )\n", + "repeated_unit_cell_nvt_300_2 = equilibriate_structure_at_finite_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential=potential_name_str, \n", + " temperature=300, \n", + " seed=9876\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "e4e42d8b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_1 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "f2d8b550", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 == repeated_unit_cell_nvt_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "7404bcd8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "repeated_unit_cell_nvt_300_2 == repeated_unit_cell_nvt_300" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Temperature-dependent Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "ee8a3478", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(structure : Atoms, strain : float = 0.005):\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "91650a2c", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(tensor_dict : dict, strain : float) -> list[float]:\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "5f64df64", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(\n", + " structure : Atoms,\n", + " structure_strained : Atoms, \n", + " potential_dataframe : pd.DataFrame\n", + " ):\n", + " \n", + " relaxed_dict = calc_static_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " strained_dict = calc_static_with_lammpslib(\n", + " structure=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + "\n", + " stress_diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "a8c9f0bf", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(\n", + " structure : Atoms, structure_strained : Atoms, potential_dataframe : pd.DataFrame,\n", + " temperature : float, seed : int, thermo : int\n", + " ):\n", + " \n", + " # now we can use disable_initial_velocity=True\n", + " # relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " # structure=structure, \n", + " # potential_dataframe=potential_dataframe,\n", + " # Tstart=temperature,\n", + " # Tstop=temperature,\n", + " # run=10000,\n", + " # thermo=thermo,\n", + " # seed=seed\n", + " # )\n", + " # strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " # structure=structure_strained, \n", + " # potential_dataframe=potential_dataframe,\n", + " # Tstart=temperature,\n", + " # Tstop=temperature,\n", + " # run=10000,\n", + " # thermo=thermo,\n", + " # seed=seed\n", + " # )\n", + " relaxed_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " strained_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=10000,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + "\n", + " stress_diff = -np.mean(strained_dict['pressure'][20:] - relaxed_dict['pressure'][20:], axis=0)\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "6a373e2b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_specific_temperature(\n", + " structure : Atoms, potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array, temperature : float, \n", + " seed : int, thermo : int\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + "\n", + " if temperature == 0:\n", + " stress_diff, relaxed_dict, strained_dict = get_stress_tensor_at_0K(\n", + " structure=structure,\n", + " structure_strained=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " else:\n", + " stress_diff, relaxed_dict, strained_dict = get_stress_tensor_at_finite_temperature(\n", + " structure=structure,\n", + " structure_strained=structure_strained,\n", + " potential_dataframe=potential_dataframe,\n", + " temperature=temperature,\n", + " seed=seed,\n", + " thermo=thermo\n", + " )\n", + " \n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "07d6d1d5", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_specific_temperature(\n", + " structure : Atoms, potential_name : str, temperature : float = 0, \n", + " strain : float = 0.005, seed : int = 4928459, thermo : int = 100\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_specific_temperature(\n", + " structure=structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " seed=seed,\n", + " thermo=thermo\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "b6f2187c", + "metadata": {}, + "source": [ + "### 0K Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "id": "b1366a8f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_0, tensor_dict_0 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=relaxed_unit_cell, \n", + " potential_name=potential_name_str,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "id": "a3db42f8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1692164.6750272135, 1214497.7228949314, 762691.2007684121]" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the 0K code was independent\n", + "elastic_constants_list_0" + ] + }, + { + "cell_type": "markdown", + "id": "bd68a586", + "metadata": {}, + "source": [ + "### Finite temperature Elastic Constants" + ] + }, + { + "cell_type": "markdown", + "id": "fcb74b32", + "metadata": {}, + "source": [ + "#### Run for different sizes" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "02b5c2ea", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_r5, tensor_dict_300_r5 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_r5, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "id": "ba16fdbb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_r6, tensor_dict_300_r6 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_r6, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "id": "e491482e", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_r7, tensor_dict_300_r7 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_r7, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "5a10573e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([158.95130238, 118.05992355, 72.83813811]),\n", + " array([164.42664787, 118.43620252, 73.03356358]),\n", + " array([159.63144702, 117.30668158, 72.31421084]))" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(elastic_constants_list_300_r5)/10**4, np.array(elastic_constants_list_300_r6)/10**4, np.array(elastic_constants_list_300_r7)/10**4" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "6e5239a5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(500, 864, 1372)" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(repeated_unit_cell_nvt_300_r5), len(repeated_unit_cell_nvt_300_r6), len(repeated_unit_cell_nvt_300_r7)" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "id": "ff30b899", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-248.5645054267502\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 4))\n", + "\n", + "ax1.set_title(f'Relaxed stress - 300K, \\n{len(repeated_unit_cell_nvt_300_r5)} atoms')\n", + "ax1.plot(tensor_dict_300_r5['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_r5 = np.mean(tensor_dict_300_r5['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "ax1.axhline(mean_run_r5)\n", + "print(mean_run_r5)\n", + "ax1.set_ylim([-3000, 8000])\n", + "\n", + "ax2.set_title(f'Relaxed stress - 300K, \\n{len(repeated_unit_cell_nvt_300_r6)} atoms')\n", + "ax2.plot(tensor_dict_300_r6['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_r6 = np.mean(tensor_dict_300_r6['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "ax2.axhline(mean_run_r6)\n", + "mean_run_r6\n", + "ax2.set_ylim([-3000, 8000])\n", + "\n", + "\n", + "ax3.set_title(f'Relaxed stress - 300K, \\n{len(repeated_unit_cell_nvt_300_r7)} atoms')\n", + "ax3.plot(tensor_dict_300_r7['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_r7 = np.mean(tensor_dict_300_r7['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "ax3.axhline(mean_run_r7)\n", + "mean_run_r7\n", + "ax3.set_ylim([-3000, 8000])\n", + "\n", + "\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cb5ca196", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3607a825", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "46c7add7", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "b9713897", + "metadata": {}, + "source": [ + "#### Run 0" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "id": "e853de44", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300, tensor_dict_300 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bf2da33d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_500, tensor_dict_500 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_500, \n", + " potential_name=potential_name_str,\n", + " temperature=500,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "0444dcca", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_800, tensor_dict_800 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_800, \n", + " potential_name=potential_name_str,\n", + " temperature=800,\n", + " strain=0.005,\n", + " seed=4928459,\n", + " thermo=100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "b5378f7b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([1708047.1698537243, 1200998.912591118, 736383.9337147959],\n", + " [1441135.5664244464, 1122482.3368255557, 673224.0241416948],\n", + " [1406660.9522165915, 1059775.5001629365, 579655.0862127924])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# verified to be the same as the result when the finite temp code was independent\n", + "elastic_constants_list_300, elastic_constants_list_500, elastic_constants_list_800" + ] + }, + { + "cell_type": "markdown", + "id": "e376c301", + "metadata": {}, + "source": [ + "#### Run 1 - different seed" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "id": "1f88bad9", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_1, tensor_dict_300_1 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_1, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=1234,\n", + " thermo= 100\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "b59baacb", + "metadata": {}, + "source": [ + "#### Run 2 - different seed" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "id": "980af781", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + } + ], + "source": [ + "elastic_constants_list_300_2, tensor_dict_300_2 = calculate_elastic_constants_at_specific_temperature(\n", + " structure=repeated_unit_cell_nvt_300_2, \n", + " potential_name=potential_name_str,\n", + " temperature=300,\n", + " strain=0.005,\n", + " seed=9876,\n", + " thermo= 100\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "id": "8677c191", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1631197.7360318168, 1192380.5158855317, 736879.229655739]" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "43d86cb5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1589513.0238372444, 1180599.2354769662, 728381.381124874]" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_1" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "d16ed341", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1629049.494307301, 1175005.8632093833, 706370.4573887336]" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_300_2" + ] + }, + { + "cell_type": "markdown", + "id": "981bfa77", + "metadata": {}, + "source": [ + "#### Diagnostics" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d33b7f32", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-2500.0, 6000.0)" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Relaxed stress - Run 0')\n", + "plt.plot(tensor_dict_300['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_0 = np.mean(tensor_dict_300['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "plt.axhline(mean_run_0)\n", + "mean_run_0\n", + "plt.ylim([-2500, 6000])" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "id": "ba7ca3f7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-2500.0, 6000.0)" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Relaxed stress - Run 1')\n", + "plt.plot(tensor_dict_300_1['relaxed_dict_C11']['pressure'][:,0,0])\n", + "\n", + "mean_run_1 = np.mean(tensor_dict_300_1['relaxed_dict_C11']['pressure'][20:,0,0], axis = 0)\n", + "plt.axhline(mean_run_1)\n", + "mean_run_1\n", + "plt.ylim([-2500, 6000])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "id": "0f787209", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Strained stress - Run 1')" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(tensor_dict_300_1['strained_dict_C11']['pressure'][:,:,0])\n", + "plt.axhline(np.mean(tensor_dict_300_1['strained_dict_C11']['pressure'][20:,0,0], axis = 0))\n", + "plt.title('Strained stress - Run 1')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5e292476", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "atomistics", + "language": "python", + "name": "dev-atomistics" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_22-10-25.ipynb b/hackathon/elastic_constants/MD/MD_22-10-25.ipynb new file mode 100644 index 0000000..3d57a2f --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_22-10-25.ipynb @@ -0,0 +1,1846 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan, Sriram\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "ad9d71eb", + "metadata": {}, + "source": [ + "## Reference" + ] + }, + { + "cell_type": "markdown", + "id": "fee4e526", + "metadata": {}, + "source": [ + "We compare our values with the paper - [M. Krief, et. al., Physical Review E, 103, 063307, 2021](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4)\n", + "\n", + "Potential used: Copper [Mishin potential](https://www.ctcms.nist.gov/potentials/entry/2001--Mishin-Y-Mehl-M-J-Papaconstantopoulos-D-A-et-al--Cu-1/)" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:63: UserWarning: calc_static_with_qe(), evaluate_with_qe() and optimize_positions_and_volume_with_qe() are not available as the import of the module named 'pwtools' failed.\n", + " raise_warning(module_list=quantum_espresso_function, import_error=e)\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " get_tasks_for_elastic_matrix,\n", + " analyse_results_for_elastic_matrix\n", + ")\n", + "\n", + "from atomistics.calculators import (\n", + " evaluate_with_lammpslib, \n", + " get_potential_by_name, \n", + " calc_molecular_dynamics_npt_with_lammpslib, \n", + " calc_molecular_dynamics_nvt_with_lammpslib\n", + ")\n", + "\n", + "from atomistics.calculators.lammps.libcalculator import (\n", + " calc_static_with_lammpslib, \n", + " calc_molecular_dynamics_langevin_with_lammpslib\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "7e2f6834", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[31mSignature:\u001b[39m\n", + "calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure: \u001b[33m'Atoms'\u001b[39m,\n", + " potential_dataframe: \u001b[33m'pandas.DataFrame'\u001b[39m,\n", + " run: \u001b[33m'int'\u001b[39m = \u001b[32m100\u001b[39m,\n", + " thermo: \u001b[33m'int'\u001b[39m = \u001b[32m100\u001b[39m,\n", + " timestep: \u001b[33m'float'\u001b[39m = \u001b[32m0.001\u001b[39m,\n", + " Tstart: \u001b[33m'float'\u001b[39m = \u001b[32m100.0\u001b[39m,\n", + " Tstop: \u001b[33m'float'\u001b[39m = \u001b[32m100\u001b[39m,\n", + " Tdamp: \u001b[33m'float'\u001b[39m = \u001b[32m0.1\u001b[39m,\n", + " seed: \u001b[33m'int'\u001b[39m = \u001b[32m4928459\u001b[39m,\n", + " dist: \u001b[33m'str'\u001b[39m = \u001b[33m'gaussian'\u001b[39m,\n", + " disable_initial_velocity: \u001b[33m'bool'\u001b[39m = \u001b[38;5;28;01mFalse\u001b[39;00m,\n", + " lmp=\u001b[38;5;28;01mNone\u001b[39;00m,\n", + " output_keys=(\u001b[33m'positions'\u001b[39m, \u001b[33m'cell'\u001b[39m, \u001b[33m'forces'\u001b[39m, \u001b[33m'temperature'\u001b[39m, \u001b[33m'energy_pot'\u001b[39m, \u001b[33m'energy_tot'\u001b[39m, \u001b[33m'pressure'\u001b[39m, \u001b[33m'velocities'\u001b[39m, \u001b[33m'volume'\u001b[39m),\n", + " **kwargs,\n", + ")\n", + "\u001b[31mDocstring:\u001b[39m \n", + "\u001b[31mSource:\u001b[39m \n", + "\u001b[38;5;28;01mdef\u001b[39;00m calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure: Atoms,\n", + " potential_dataframe: pandas.DataFrame,\n", + " run: int = \u001b[32m100\u001b[39m,\n", + " thermo: int = \u001b[32m100\u001b[39m,\n", + " timestep: float = \u001b[32m0.001\u001b[39m,\n", + " Tstart: float = \u001b[32m100.0\u001b[39m,\n", + " Tstop: float = \u001b[32m100\u001b[39m,\n", + " Tdamp: float = \u001b[32m0.1\u001b[39m,\n", + " seed: int = \u001b[32m4928459\u001b[39m,\n", + " dist: str = \u001b[33m\"gaussian\"\u001b[39m,\n", + " disable_initial_velocity: bool = \u001b[38;5;28;01mFalse\u001b[39;00m,\n", + " lmp=\u001b[38;5;28;01mNone\u001b[39;00m,\n", + " output_keys=OutputMolecularDynamics.keys(),\n", + " **kwargs,\n", + "):\n", + " \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28;01mnot\u001b[39;00m disable_initial_velocity:\n", + " init_str = (\n", + " LAMMPS_THERMO_STYLE\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_TIMESTEP\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_THERMO\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_VELOCITY\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_NVE\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_LANGEVIN\n", + " )\n", + " input_template = Template(init_str).render(\n", + " thermo=thermo,\n", + " temp=Tstart,\n", + " Tstart=Tstart,\n", + " Tstop=Tstop,\n", + " Tdamp=Tdamp,\n", + " timestep=timestep,\n", + " seed=seed,\n", + " dist=dist,\n", + " )\n", + " \u001b[38;5;28;01melse\u001b[39;00m:\n", + " init_str = (\n", + " LAMMPS_THERMO_STYLE\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_TIMESTEP\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_THERMO\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_NVE\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_LANGEVIN\n", + " )\n", + " input_template = Template(init_str).render(\n", + " thermo=thermo,\n", + " temp=Tstart,\n", + " Tstart=Tstart,\n", + " Tstop=Tstop,\n", + " Tdamp=Tdamp,\n", + " timestep=timestep,\n", + " seed=seed\n", + " )\n", + " run_str = LAMMPS_RUN + \u001b[33m\"\\n\"\u001b[39m\n", + " \u001b[38;5;66;03m# print('\\nLAMMPS INPUT TEMPLATE THAT IS BEING RUN: \\n', input_template)\u001b[39;00m\n", + " lmp_instance = lammps_run(\n", + " structure=structure,\n", + " potential_dataframe=potential_dataframe,\n", + " input_template=input_template,\n", + " lmp=lmp,\n", + " **kwargs,\n", + " )\n", + " result_dict = lammps_calc_md(\n", + " lmp_instance=lmp_instance,\n", + " run_str=run_str,\n", + " run=run,\n", + " thermo=thermo,\n", + " output_keys=output_keys,\n", + " )\n", + " lammps_shutdown(lmp_instance=lmp_instance, close_instance=lmp \u001b[38;5;28;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m)\n", + " \u001b[38;5;28;01mreturn\u001b[39;00m result_dict\n", + "\u001b[31mFile:\u001b[39m /cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/libcalculator.py\n", + "\u001b[31mType:\u001b[39m function" + ] + } + ], + "source": [ + "calc_molecular_dynamics_langevin_with_lammpslib??" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "4c2e5072", + "metadata": {}, + "outputs": [], + "source": [ + "from pyiron_base import Project, job" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "d0c85625", + "metadata": {}, + "outputs": [], + "source": [ + "pr = Project(\"Finite_temp_convergence_4\")" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "4ce06b81", + "metadata": {}, + "outputs": [], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True) # 4 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "1007230a", + "metadata": {}, + "outputs": [], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5) # 500 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"\n", + "\n", + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.61500008107858, 3.61500008107858, 3.6150000810785805])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(\n", + " unit_cell, # 4 atoms\n", + " potential_name_str, \n", + " lmp_optimizer_kwargs\n", + ")\n", + "\n", + "relaxed_unit_cell # 4 atoms" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_lattice_constant_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(\n", + " structure=structure, \n", + " potential=potential,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " a_0 = structure_relaxed.get_volume()**(1/3)\n", + "\n", + " return a_0 # Angstrom" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(3.61500008107858)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_lattice_constant_at_0K(\n", + " structure=unit_cell, \n", + " potential=potential_name_str,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs)\n", + "\n", + "a_0 # Angstrom" + ] + }, + { + "cell_type": "markdown", + "id": "00afafda", + "metadata": {}, + "source": [ + "We get the same lattice constant at 0K as the reference paper!" + ] + }, + { + "cell_type": "markdown", + "id": "487ad8a1", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "6da5fde2", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(\n", + " structure : Atoms, \n", + " strain : float = 0.005\n", + " ) -> dict:\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "66091ecb", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(\n", + " tensor_dict : dict, \n", + " strain : float\n", + " ) -> list[float]:\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "fdd3131b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " relaxed_dict = calc_static_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " strained_dict = calc_static_with_lammpslib(\n", + " structure=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + "\n", + " relaxed_dict['stress_GPa'] = relaxed_dict['stress'] / 10**4\n", + " strained_dict['stress_GPa'] = strained_dict['stress'] / 10**4\n", + "\n", + " stress_diff = strained_dict['stress_GPa'] - relaxed_dict['stress_GPa']\n", + " \n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "a1655241", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_0K(\n", + " structure : Atoms, \n", + " potential_name : str,\n", + " strain : float = 0.005\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_0K(\n", + " structure=structure,\n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "1d4d9117", + "metadata": {}, + "source": [ + "## Reference function to fit elastic constants (Jan + Yury)'s" + ] + }, + { + "cell_type": "markdown", + "id": "921512df", + "metadata": {}, + "source": [ + "Requires only `relaxed_unit_cell` and `potential_name_str` from previous cells" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "abfe2e9f", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(\n", + " structure: Atoms, \n", + " potential: str, \n", + " strains, \n", + " stresses=None, \n", + " energies=None):\n", + "\n", + " task_dict, sym_dict = get_tasks_for_elastic_matrix(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True\n", + " )\n", + "\n", + " potential_df = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict=task_dict,\n", + " potential_dataframe=potential_df,\n", + " )\n", + " \n", + " elastic_dict, sym_dict = analyse_results_for_elastic_matrix(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "07218d2f", + "metadata": {}, + "outputs": [], + "source": [ + "elastic_dict = fit_elastic_constants(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str,\n", + " strains=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "2b379a68", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "9d40a4ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.7, 123.6, 76.2])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_reference = [\n", + " elastic_dict['elastic_matrix'][0,0], \n", + " elastic_dict['elastic_matrix'][0,1], \n", + " elastic_dict['elastic_matrix'][3,3]\n", + " ]\n", + "\n", + "np.round(elastic_constants_list_reference, 1) # GPa" + ] + }, + { + "cell_type": "markdown", + "id": "21e47c80", + "metadata": {}, + "source": [ + "In comparison with the [reference paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4 \"M. Krief, et. al., Physical Review E, 103, 063307, 2021\"),\n", + "\n", + "$C_{11}$=169.9GPa, $C_{12}$=122.6GPa, and $C_{44}$=76.2GPa" + ] + }, + { + "cell_type": "markdown", + "id": "3bfb90c7", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "d35b8305", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential : str, \n", + " temperature : float = 500,\n", + " run : int = 100000,\n", + " thermo : int = 100,\n", + " seed : int = 4928459, \n", + " cell_scale_value : int = 5,\n", + " thermostat : str = 'langevin'\n", + " ) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(cell_scale_value)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " # structure_npt = bulk('Cu', a=npt_lattice_constant, cubic=True)\n", + " # structure_repeated_npt = structure_npt.repeat(cell_scale_value)\n", + " \n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], \n", + " [0,npt_lattice_constant,0], \n", + " [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(cell_scale_value)\n", + "\n", + " if thermostat == 'nose-hoover':\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " nvt_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Temperature-dependent Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "249bfe15", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[31mSignature:\u001b[39m\n", + "calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure: \u001b[33m'Atoms'\u001b[39m,\n", + " potential_dataframe: \u001b[33m'pandas.DataFrame'\u001b[39m,\n", + " run: \u001b[33m'int'\u001b[39m = \u001b[32m100\u001b[39m,\n", + " thermo: \u001b[33m'int'\u001b[39m = \u001b[32m100\u001b[39m,\n", + " timestep: \u001b[33m'float'\u001b[39m = \u001b[32m0.001\u001b[39m,\n", + " Tstart: \u001b[33m'float'\u001b[39m = \u001b[32m100.0\u001b[39m,\n", + " Tstop: \u001b[33m'float'\u001b[39m = \u001b[32m100\u001b[39m,\n", + " Tdamp: \u001b[33m'float'\u001b[39m = \u001b[32m0.1\u001b[39m,\n", + " seed: \u001b[33m'int'\u001b[39m = \u001b[32m4928459\u001b[39m,\n", + " dist: \u001b[33m'str'\u001b[39m = \u001b[33m'gaussian'\u001b[39m,\n", + " disable_initial_velocity: \u001b[33m'bool'\u001b[39m = \u001b[38;5;28;01mFalse\u001b[39;00m,\n", + " lmp=\u001b[38;5;28;01mNone\u001b[39;00m,\n", + " output_keys=(\u001b[33m'positions'\u001b[39m, \u001b[33m'cell'\u001b[39m, \u001b[33m'forces'\u001b[39m, \u001b[33m'temperature'\u001b[39m, \u001b[33m'energy_pot'\u001b[39m, \u001b[33m'energy_tot'\u001b[39m, \u001b[33m'pressure'\u001b[39m, \u001b[33m'velocities'\u001b[39m, \u001b[33m'volume'\u001b[39m),\n", + " **kwargs,\n", + ")\n", + "\u001b[31mDocstring:\u001b[39m \n", + "\u001b[31mFile:\u001b[39m /cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/libcalculator.py\n", + "\u001b[31mType:\u001b[39m function" + ] + } + ], + "source": [ + "calc_molecular_dynamics_langevin_with_lammpslib?" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "61bd9d33", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array, \n", + " temperature : float,\n", + " run : int, \n", + " thermo : int,\n", + " seed : int,\n", + " thermostat : str\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " if thermostat == 'nose-hoover':\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " relaxed_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + " strained_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + "\n", + " relaxed_dict['pressure_GPa'] = relaxed_dict['pressure'] / 10**4\n", + " strained_dict['pressure_GPa'] = strained_dict['pressure'] / 10**4\n", + "\n", + " stress_diff = -np.mean(strained_dict['pressure_GPa'][20:] - relaxed_dict['pressure_GPa'][20:], axis=0)\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "9f46351a", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(\n", + " structure : Atoms, # change to unit cell\n", + " cell_scale_value : int,\n", + " potential_name : str, \n", + " temperature : float = 0, \n", + " strain : float = 0.005,\n", + " run : int = 10000,\n", + " thermo : int = 100, \n", + " seed : int = 42, \n", + " thermostat : str = 'langevin'\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " equilibriated_structure = equilibriate_structure_at_finite_temperature(\n", + " structure=structure,\n", + " potential=potential_name_str, \n", + " temperature=temperature, \n", + " seed=seed,\n", + " cell_scale_value=cell_scale_value\n", + " )\n", + " \n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=equilibriated_structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_finite_temperature(\n", + " structure=equilibriated_structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " thermostat=thermostat\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " # results = [{\n", + " # \"elastic_constants\": elastic_constants_list,\n", + " # \"tensor_dict\": tensor_dict,\n", + " # # \"input_args\": locals()\n", + " # }]\n", + "\n", + " # results_df = pd.DataFrame(results)\n", + " # results_df.to_pickle(f\"{pr.path}/results.pkl\")\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "ede048ce", + "metadata": {}, + "source": [ + "### Convergence tests" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "d79e68dd", + "metadata": {}, + "outputs": [], + "source": [ + "input_params_scale = {\n", + " \"cell_scale_value\" : [3, 5, 7, 9],\n", + " \"run\" : [10000],\n", + " \"temperature\" : [500],\n", + " \"strain\" : [0.0001],\n", + " \"seed\": [1357],\n", + " \"thermostat\" : [\"langevin\"]\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "8997d14f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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conv_out.server.queue = \"cmti\"\n", + " # conv_out.server.cores = 40\n", + " # conv_out.server.run_time = 3600\n", + "\n", + " conv_future = conv_out.pull()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "8ad1dc09", + "metadata": {}, + "outputs": [], + "source": [ + "convergence_job = job(run_convergence)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "fa6a27a6", + "metadata": {}, + "outputs": [], + "source": [ + "convergence_out = convergence_job(\n", + " structure=relaxed_unit_cell,\n", + " potential_name_str=potential_name_str,\n", + " input_params = input_params_scale,\n", + " project = pr,\n", + " pyiron_project = pr\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "c649eb62", + "metadata": {}, + "outputs": [], + "source": [ + "convergence_out.server.queue = 'cmti'\n", + "convergence_out.server.cores = 40\n", + "convergence_out.server.run_time = 3600" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "0564273b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "convergence_out" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "fd63ea61", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The job run_convergence_85d7818d36a9340e21aeb6de136e7e1e was saved and received the ID: 30402555\n", + "Queue system id: 18620026\n" + ] + } + ], + "source": [ + "convergence_future = convergence_out.pull()" + ] + }, + { + "cell_type": "markdown", + "id": "eb6a13bc", + "metadata": {}, + "source": [ + "### Results of job decorator trials" + ] + }, + { + "cell_type": "markdown", + "id": "16ff5591", + "metadata": {}, + "source": [ + "* 0- outer - ran local - aborted, with an empty IndexError\n", + "* 1- inner - ran local - aborted\n", + "* 2- outer - ran local - finished, submitted 3\n", + "* 3- inner - submitted to cluster - still running - found `IndexError: tuple index out of range` in `error.out`\n", + "* 4- outer - submitted to cluster - aborted\n", + "* 5- inner - ran locally on the submitted node - aborted" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "7c5a854f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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030402532abortedNonerun_convergence_8b236c6eee8dbc1ea1bda8643db16c13/run_convergence_8b236c6eee8dbc1ea1bda8643db16c13/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 09:47:55.6255922025-10-22 09:49:54.547541118.0pchilaka@cmti001#1PythonFunctionContainerJob0.4NoneNone
230402533abortedNonecalculate_elastic_constants_at_finite_temperature_3f31ca9f29c781d5aae9a98d2a1f7608/calculate_elastic_constants_at_finite_temperature_3f31ca9f29c781d5aae9a98d2a1f7608/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 09:47:55.740714NaTNaNpchilaka@cmti001#1PythonFunctionContainerJob0.4NoneNone
330402546finishedNonerun_convergence_b585bf23f12cf5e996152b9211733b1a/run_convergence_b585bf23f12cf5e996152b9211733b1a/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 10:05:50.183369NaTNaNpchilaka@cmti001#1PythonFunctionContainerJob0.4NoneNone
430402547runningNonecalculate_elastic_constants_at_finite_temperature_2e4f430ec29d6780fd5be57c1b28b761/calculate_elastic_constants_at_finite_temperature_2e4f430ec29d6780fd5be57c1b28b761/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 10:05:50.274458NaTNaNpchilaka@cmti001#40#cmtiPythonFunctionContainerJob0.4NoneNone
530402555abortedNonerun_convergence_85d7818d36a9340e21aeb6de136e7e1e/run_convergence_85d7818d36a9340e21aeb6de136e7e1e/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 10:15:41.3166192025-10-22 10:19:32.703173231.0pchilaka@cmti001#40#cmtiPythonFunctionContainerJob0.4NoneNone
130402556abortedNonecalculate_elastic_constants_at_finite_temperature_f5c42c2842e9d3496acfc0553dadc2bf/calculate_elastic_constants_at_finite_temperature_f5c42c2842e9d3496acfc0553dadc2bf/cmmc/u/pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/2025-10-22 10:15:47.140769NaTNaNpchilaka@cmti085#1PythonFunctionContainerJob0.4NoneNone
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pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "1 pchilaka/1_Work/1_My_Notebooks/5_Hackathons/hackathon/hackathon/elastic_constants/Finite_temp_convergence_4/ \n", + "\n", + " timestart timestop totalcputime \\\n", + "0 2025-10-22 09:47:55.625592 2025-10-22 09:49:54.547541 118.0 \n", + "2 2025-10-22 09:47:55.740714 NaT NaN \n", + "3 2025-10-22 10:05:50.183369 NaT NaN \n", + "4 2025-10-22 10:05:50.274458 NaT NaN \n", + "5 2025-10-22 10:15:41.316619 2025-10-22 10:19:32.703173 231.0 \n", + "1 2025-10-22 10:15:47.140769 NaT NaN \n", + "\n", + " computer hamilton hamversion parentid \\\n", + "0 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "2 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "3 pchilaka@cmti001#1 PythonFunctionContainerJob 0.4 None \n", + "4 pchilaka@cmti001#40#cmti PythonFunctionContainerJob 0.4 None \n", + "5 pchilaka@cmti001#40#cmti PythonFunctionContainerJob 0.4 None \n", + "1 pchilaka@cmti085#1 PythonFunctionContainerJob 0.4 None \n", + "\n", + " masterid \n", + "0 None \n", + "2 None \n", + "3 None \n", + "4 None \n", + "5 None \n", + "1 None " + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pr.job_table()" + ] + }, + { + "cell_type": "markdown", + "id": "b3d2cd0f", + "metadata": {}, + "source": [ + "### Running directly" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ff344c4e", + "metadata": {}, + "outputs": [], + "source": [ + "# def run_convergence(structure, potential_name_str, input_params):\n", + "\n", + "# from itertools import product\n", + "# from pyiron_base import job\n", + " \n", + "# keys = input_params.keys()\n", + "# values = input_params.values()\n", + "\n", + "# for combo in product(*values):\n", + "# params = dict(zip(keys, combo))\n", + "# print(params)\n", + "\n", + "# elastic_list, tensor_dict = calculate_elastic_constants_at_finite_temperature(\n", + "# structure = structure,\n", + "# potential_name = potential_name_str,\n", + "# **params\n", + "# )\n", + "\n", + "# return elastic_list, tensor_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "dd0eb561", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'cell_scale_value': 4, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "velocity all create $(2 * 500) 1357 dist gaussian\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n", + "\n", + "LAMMPS INPUT TEMPLATE THAT IS BEING RUN: \n", + " thermo_style custom step temp pe etotal pxx pxy pxz pyy pyz pzz vol\n", + "thermo_modify format float %20.15g\n", + "timestep 0.001\n", + "thermo 100\n", + "fix integration all nve\n", + "fix ensemble all langevin 500 500 0.1 1357\n" + ] + } + ], + "source": [ + "# elastic_list, tensor_dict = run_convergence(relaxed_unit_cell, potential_name_str, input_params_scale)" + ] + }, + { + "cell_type": "markdown", + "id": "b22947ea", + "metadata": {}, + "source": [ + "## Pyiron table" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7e422ab5", + "metadata": {}, + "outputs": [], + "source": [ + "def db_filter_function(job_table):\n", + " return (job_table.status == \"finished\") & (job_table.hamilton == \"PythonFunctionContainerJob\")\n", + "\n", + "def job_filter_function(job):\n", + " return (job.status == \"finished\") & (\"calculate\" in job.name)\n", + "\n", + "def get_input_structure(job):\n", + " return job.project_hdf5['input']['data']['structure']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cb4cafc7", + "metadata": {}, + "outputs": [], + "source": [ + "table = pr.create.table(\"Convergence_pyiron_table\", delete_existing_job=True)\n", + "\n", + "# table.db_filter_function = db_filter_function\n", + "table.filter_function = job_filter_function\n", + "\n", + "table.add[\"input_structure\"] = get_input_structure\n", + "\n", + "table.run(delete_existing_job=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3b0d257f", + "metadata": {}, + "outputs": [], + "source": [ + "table.get_dataframe()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1040ef80", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "atomistics", + "language": "python", + "name": "dev-atomistics" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_22-10-25_ohne_job.ipynb b/hackathon/elastic_constants/MD/MD_22-10-25_ohne_job.ipynb new file mode 100644 index 0000000..96ef38d --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_22-10-25_ohne_job.ipynb @@ -0,0 +1,1918 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan, Sriram\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "markdown", + "id": "ad9d71eb", + "metadata": {}, + "source": [ + "## Reference" + ] + }, + { + "cell_type": "markdown", + "id": "fee4e526", + "metadata": {}, + "source": [ + "We compare our values with the paper - [M. Krief, et. al., Physical Review E, 103, 063307, 2021](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4)\n", + "\n", + "Potential used: Copper [Mishin potential](https://www.ctcms.nist.gov/potentials/entry/2001--Mishin-Y-Mehl-M-J-Papaconstantopoulos-D-A-et-al--Cu-1/)" + ] + }, + { + "cell_type": "markdown", + "id": "0f95f937", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/__init__.py:63: UserWarning: calc_static_with_qe(), evaluate_with_qe() and optimize_positions_and_volume_with_qe() are not available as the import of the module named 'pwtools' failed.\n", + " raise_warning(module_list=quantum_espresso_function, import_error=e)\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from __future__ import annotations\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " get_tasks_for_elastic_matrix,\n", + " analyse_results_for_elastic_matrix\n", + ")\n", + "\n", + "from atomistics.calculators import (\n", + " evaluate_with_lammpslib, \n", + " get_potential_by_name, \n", + " calc_molecular_dynamics_npt_with_lammpslib, \n", + " calc_molecular_dynamics_nvt_with_lammpslib\n", + ")\n", + "\n", + "from atomistics.calculators.lammps.libcalculator import (\n", + " calc_static_with_lammpslib, \n", + " calc_molecular_dynamics_langevin_with_lammpslib\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "7e2f6834", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[31mSignature:\u001b[39m\n", + "calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure: \u001b[33m'Atoms'\u001b[39m,\n", + " potential_dataframe: \u001b[33m'pandas.DataFrame'\u001b[39m,\n", + " run: \u001b[33m'int'\u001b[39m = \u001b[32m100\u001b[39m,\n", + " thermo: \u001b[33m'int'\u001b[39m = \u001b[32m100\u001b[39m,\n", + " timestep: \u001b[33m'float'\u001b[39m = \u001b[32m0.001\u001b[39m,\n", + " Tstart: \u001b[33m'float'\u001b[39m = \u001b[32m100.0\u001b[39m,\n", + " Tstop: \u001b[33m'float'\u001b[39m = \u001b[32m100\u001b[39m,\n", + " Tdamp: \u001b[33m'float'\u001b[39m = \u001b[32m0.1\u001b[39m,\n", + " seed: \u001b[33m'int'\u001b[39m = \u001b[32m4928459\u001b[39m,\n", + " dist: \u001b[33m'str'\u001b[39m = \u001b[33m'gaussian'\u001b[39m,\n", + " disable_initial_velocity: \u001b[33m'bool'\u001b[39m = \u001b[38;5;28;01mFalse\u001b[39;00m,\n", + " lmp=\u001b[38;5;28;01mNone\u001b[39;00m,\n", + " output_keys=(\u001b[33m'positions'\u001b[39m, \u001b[33m'cell'\u001b[39m, \u001b[33m'forces'\u001b[39m, \u001b[33m'temperature'\u001b[39m, \u001b[33m'energy_pot'\u001b[39m, \u001b[33m'energy_tot'\u001b[39m, \u001b[33m'pressure'\u001b[39m, \u001b[33m'velocities'\u001b[39m, \u001b[33m'volume'\u001b[39m),\n", + " **kwargs,\n", + ")\n", + "\u001b[31mDocstring:\u001b[39m \n", + "\u001b[31mSource:\u001b[39m \n", + "\u001b[38;5;28;01mdef\u001b[39;00m calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure: Atoms,\n", + " potential_dataframe: pandas.DataFrame,\n", + " run: int = \u001b[32m100\u001b[39m,\n", + " thermo: int = \u001b[32m100\u001b[39m,\n", + " timestep: float = \u001b[32m0.001\u001b[39m,\n", + " Tstart: float = \u001b[32m100.0\u001b[39m,\n", + " Tstop: float = \u001b[32m100\u001b[39m,\n", + " Tdamp: float = \u001b[32m0.1\u001b[39m,\n", + " seed: int = \u001b[32m4928459\u001b[39m,\n", + " dist: str = \u001b[33m\"gaussian\"\u001b[39m,\n", + " disable_initial_velocity: bool = \u001b[38;5;28;01mFalse\u001b[39;00m,\n", + " lmp=\u001b[38;5;28;01mNone\u001b[39;00m,\n", + " output_keys=OutputMolecularDynamics.keys(),\n", + " **kwargs,\n", + "):\n", + " \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28;01mnot\u001b[39;00m disable_initial_velocity:\n", + " init_str = (\n", + " LAMMPS_THERMO_STYLE\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_TIMESTEP\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_THERMO\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_VELOCITY\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_NVE\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_LANGEVIN\n", + " )\n", + " input_template = Template(init_str).render(\n", + " thermo=thermo,\n", + " temp=Tstart,\n", + " Tstart=Tstart,\n", + " Tstop=Tstop,\n", + " Tdamp=Tdamp,\n", + " timestep=timestep,\n", + " seed=seed,\n", + " dist=dist,\n", + " )\n", + " \u001b[38;5;28;01melse\u001b[39;00m:\n", + " init_str = (\n", + " LAMMPS_THERMO_STYLE\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_TIMESTEP\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_THERMO\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_NVE\n", + " + \u001b[33m\"\\n\"\u001b[39m\n", + " + LAMMPS_LANGEVIN\n", + " )\n", + " input_template = Template(init_str).render(\n", + " thermo=thermo,\n", + " temp=Tstart,\n", + " Tstart=Tstart,\n", + " Tstop=Tstop,\n", + " Tdamp=Tdamp,\n", + " timestep=timestep,\n", + " )\n", + " run_str = LAMMPS_RUN + \u001b[33m\"\\n\"\u001b[39m\n", + " lmp_instance = lammps_run(\n", + " structure=structure,\n", + " potential_dataframe=potential_dataframe,\n", + " input_template=input_template,\n", + " lmp=lmp,\n", + " **kwargs,\n", + " )\n", + " result_dict = lammps_calc_md(\n", + " lmp_instance=lmp_instance,\n", + " run_str=run_str,\n", + " run=run,\n", + " thermo=thermo,\n", + " output_keys=output_keys,\n", + " )\n", + " lammps_shutdown(lmp_instance=lmp_instance, close_instance=lmp \u001b[38;5;28;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m)\n", + " \u001b[38;5;28;01mreturn\u001b[39;00m result_dict\n", + "\u001b[31mFile:\u001b[39m /cmmc/ptmp/pchilaka/Packages/atomistics/atomistics/calculators/lammps/libcalculator.py\n", + "\u001b[31mType:\u001b[39m function" + ] + } + ], + "source": [ + "calc_molecular_dynamics_langevin_with_lammpslib??" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "4c2e5072", + "metadata": {}, + "outputs": [], + "source": [ + "from pyiron_base import Project, job" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "d0c85625", + "metadata": {}, + "outputs": [], + "source": [ + "pr = Project(\"Finite_temp_convergence_on_loginnode\")" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample with a guessed lattice constant" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "4ce06b81", + "metadata": {}, + "outputs": [], + "source": [ + "unit_cell = bulk('Cu', 'fcc', a=3.6514, cubic=True) # 4 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "1007230a", + "metadata": {}, + "outputs": [], + "source": [ + "repeated_unit_cell = unit_cell.repeat(5) # 500 atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name_str = \"2001--Mishin-Y--Cu-1--LAMMPS--ipr1\"\n", + "\n", + "potential_df = get_potential_by_name(\n", + " potential_name=potential_name_str\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "2c46da55", + "metadata": {}, + "outputs": [], + "source": [ + "lmp_optimizer_kwargs={\n", + " 'min_style':'cg',\n", + " 'ionic_force_tolerance':1e-8,\n", + " 'pressure':np.zeros(6) # add anisotropy\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "f3dcce5a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Atoms(symbols='Cu4', pbc=True, cell=[3.61500008107858, 3.61500008107858, 3.6150000810785805])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_unit_cell = get_relaxed_structure_at_0K(\n", + " unit_cell, # 4 atoms\n", + " potential_name_str, \n", + " lmp_optimizer_kwargs\n", + ")\n", + "\n", + "relaxed_unit_cell # 4 atoms" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_lattice_constant_at_0K(\n", + " structure: Atoms, \n", + " potential: str, \n", + " lmp_optimizer_kwargs : dict = None\n", + " ) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure_at_0K(\n", + " structure=structure, \n", + " potential=potential,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs\n", + " )\n", + " \n", + " a_0 = structure_relaxed.get_volume()**(1/3)\n", + "\n", + " return a_0 # Angstrom" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(3.61500008107858)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_lattice_constant_at_0K(\n", + " structure=unit_cell, \n", + " potential=potential_name_str,\n", + " lmp_optimizer_kwargs=lmp_optimizer_kwargs)\n", + "\n", + "a_0 # Angstrom" + ] + }, + { + "cell_type": "markdown", + "id": "00afafda", + "metadata": {}, + "source": [ + "We get the same lattice constant at 0K as the reference paper!" + ] + }, + { + "cell_type": "markdown", + "id": "487ad8a1", + "metadata": {}, + "source": [ + "## 0K Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "6da5fde2", + "metadata": {}, + "outputs": [], + "source": [ + "def get_strain_tensor_cubic(\n", + " structure : Atoms, \n", + " strain : float = 0.005\n", + " ) -> dict:\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " return deformation_gradient_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "66091ecb", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constants_from_stress_tensor(\n", + " tensor_dict : dict, \n", + " strain : float\n", + " ) -> list[float]:\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " for constant_str, diff in tensor_dict.items():\n", + " if constant_str == 'C11':\n", + " constant = diff[0, 0] / strain\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " elif constant_str == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + " elastic_constants_list.append(abs(constant))\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "fdd3131b", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_0K(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " relaxed_dict = calc_static_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe\n", + " )\n", + " strained_dict = calc_static_with_lammpslib(\n", + " structure=structure_strained,\n", + " potential_dataframe=potential_dataframe\n", + " )\n", + "\n", + " relaxed_dict['stress_GPa'] = relaxed_dict['stress'] / 10**4\n", + " strained_dict['stress_GPa'] = strained_dict['stress'] / 10**4\n", + "\n", + " stress_diff = strained_dict['stress_GPa'] - relaxed_dict['stress_GPa']\n", + " \n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "a1655241", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_0K(\n", + " structure : Atoms, \n", + " potential_name : str,\n", + " strain : float = 0.005\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_0K(\n", + " structure=structure,\n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "1d4d9117", + "metadata": {}, + "source": [ + "## Reference function to fit elastic constants (Jan + Yury)'s" + ] + }, + { + "cell_type": "markdown", + "id": "921512df", + "metadata": {}, + "source": [ + "Requires only `relaxed_unit_cell` and `potential_name_str` from previous cells" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "abfe2e9f", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(\n", + " structure: Atoms, \n", + " potential: str, \n", + " strains, \n", + " stresses=None, \n", + " energies=None):\n", + "\n", + " task_dict, sym_dict = get_tasks_for_elastic_matrix(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True\n", + " )\n", + "\n", + " potential_df = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict=task_dict,\n", + " potential_dataframe=potential_df,\n", + " )\n", + " \n", + " elastic_dict, sym_dict = analyse_results_for_elastic_matrix(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "07218d2f", + "metadata": {}, + "outputs": [], + "source": [ + "elastic_dict = fit_elastic_constants(\n", + " structure=relaxed_unit_cell,\n", + " potential=potential_name_str,\n", + " strains=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "2b379a68", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[169.74837327, 123.55258251, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 169.74837327, 123.55258251, 0. ,\n", + " 0. , 0. ],\n", + " [123.55258251, 123.55258251, 169.74837327, 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 76.24914297,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 76.24914297, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 76.24914297]])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "9d40a4ab", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([169.7, 123.6, 76.2])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "elastic_constants_list_reference = [\n", + " elastic_dict['elastic_matrix'][0,0], \n", + " elastic_dict['elastic_matrix'][0,1], \n", + " elastic_dict['elastic_matrix'][3,3]\n", + " ]\n", + "\n", + "np.round(elastic_constants_list_reference, 1) # GPa" + ] + }, + { + "cell_type": "markdown", + "id": "21e47c80", + "metadata": {}, + "source": [ + "In comparison with the [reference paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.063307#s4 \"M. Krief, et. al., Physical Review E, 103, 063307, 2021\"),\n", + "\n", + "$C_{11}$=169.9GPa, $C_{12}$=122.6GPa, and $C_{44}$=76.2GPa" + ] + }, + { + "cell_type": "markdown", + "id": "3bfb90c7", + "metadata": {}, + "source": [ + "## Finite Temperature equlibiration\n", + "* First run NPT to relax volume\n", + "* Then equilibriate the cell by running NVT" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "d35b8305", + "metadata": {}, + "outputs": [], + "source": [ + "def equilibriate_structure_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential : str, \n", + " temperature : float = 500,\n", + " run : int = 100000,\n", + " thermo : int = 100,\n", + " seed : int = 4928459, \n", + " cell_scale_value : int = 5,\n", + " thermostat : str = 'langevin'\n", + " ) -> Atoms:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " structure_repeated = structure.repeat(cell_scale_value)\n", + "\n", + " npt_dict = calc_molecular_dynamics_npt_with_lammpslib(\n", + " structure=structure_repeated,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " npt_lattice_constant = (np.mean(npt_dict['volume'][20:]/len(structure_repeated))*len(structure))**(1/3)\n", + " \n", + " # FIXME: Make it for a generic element - something might be wrong here. Need to check error propagation\n", + " # structure_npt = bulk('Cu', a=npt_lattice_constant, cubic=True)\n", + " # structure_repeated_npt = structure_npt.repeat(cell_scale_value)\n", + " \n", + " structure_repeated_npt = structure.copy()\n", + " structure_repeated_npt.set_cell(\n", + " [[npt_lattice_constant,0,0], \n", + " [0,npt_lattice_constant,0], \n", + " [0,0,npt_lattice_constant]],\n", + " scale_atoms = True\n", + " )\n", + " structure_repeated_npt = structure_repeated_npt.repeat(cell_scale_value)\n", + "\n", + " if thermostat == 'nose-hoover':\n", + " nvt_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " nvt_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_repeated_npt,\n", + " potential_dataframe=df_pot_selected,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed\n", + " )\n", + " \n", + " structure_repeated_nvt = structure_repeated_npt.copy()\n", + " structure_repeated_nvt.set_cell(\n", + " nvt_dict['cell'][-1]\n", + " )\n", + " structure_repeated_nvt.set_positions(\n", + " nvt_dict['positions'][-1]\n", + " )\n", + " structure_repeated_nvt.set_velocities(\n", + " nvt_dict['velocities'][-1]\n", + " )\n", + "\n", + " return structure_repeated_nvt" + ] + }, + { + "cell_type": "markdown", + "id": "fa0d5d7d", + "metadata": {}, + "source": [ + "## Temperature-dependent Elastic Constants" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "61bd9d33", + "metadata": {}, + "outputs": [], + "source": [ + "def get_stress_tensor_at_finite_temperature(\n", + " structure : Atoms, \n", + " potential_dataframe : pd.DataFrame, \n", + " deformation_gradient : np.array, \n", + " temperature : float,\n", + " run : int, \n", + " thermo : int,\n", + " seed : int,\n", + " thermostat : str\n", + " ):\n", + " \n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(\n", + " strained_cell, \n", + " scale_atoms=True\n", + " )\n", + " \n", + " if thermostat == 'nose-hoover':\n", + " relaxed_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + " strained_dict = calc_molecular_dynamics_nvt_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + " \n", + " elif thermostat == 'langevin':\n", + " relaxed_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + " strained_dict = calc_molecular_dynamics_langevin_with_lammpslib(\n", + " structure=structure_strained, \n", + " potential_dataframe=potential_dataframe,\n", + " Tstart=temperature,\n", + " Tstop=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " disable_initial_velocity=True\n", + " )\n", + "\n", + " relaxed_dict['pressure_GPa'] = relaxed_dict['pressure'] / 10**4\n", + " strained_dict['pressure_GPa'] = strained_dict['pressure'] / 10**4\n", + "\n", + " stress_diff = -np.mean(strained_dict['pressure_GPa'][20:] - relaxed_dict['pressure_GPa'][20:], axis=0)\n", + "\n", + " return stress_diff, relaxed_dict, strained_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "9f46351a", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants_at_finite_temperature(\n", + " structure : Atoms, # change to unit cell\n", + " cell_scale_value : int,\n", + " potential_name : str, \n", + " temperature : float = 0, \n", + " strain : float = 0.005,\n", + " run : int = 10000,\n", + " thermo : int = 100, \n", + " seed : int = 42, \n", + " thermostat : str = 'langevin'\n", + " ):\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + " )\n", + "\n", + " equilibriated_structure = equilibriate_structure_at_finite_temperature(\n", + " structure=structure,\n", + " potential=potential_name_str, \n", + " temperature=temperature, \n", + " seed=seed,\n", + " cell_scale_value=cell_scale_value\n", + " )\n", + " \n", + " deformation_gradient_dict = get_strain_tensor_cubic(\n", + " structure=equilibriated_structure, \n", + " strain=strain\n", + " )\n", + " \n", + " tensor_dict = {}\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " diff, relaxed_dict, strained_dict = get_stress_tensor_at_finite_temperature(\n", + " structure=equilibriated_structure, \n", + " potential_dataframe=df_pot_selected,\n", + " deformation_gradient=deformation_gradient,\n", + " temperature=temperature,\n", + " run=run,\n", + " thermo=thermo,\n", + " seed=seed,\n", + " thermostat=thermostat\n", + " )\n", + " \n", + " tensor_dict[constant_str] = diff\n", + " tensor_dict[f'relaxed_dict_{constant_str}'] = relaxed_dict\n", + " tensor_dict[f'strained_dict_{constant_str}'] = strained_dict\n", + " \n", + " elastic_constants_list = get_elastic_constants_from_stress_tensor(\n", + " tensor_dict=tensor_dict, \n", + " strain=strain\n", + " )\n", + "\n", + " return elastic_constants_list, tensor_dict" + ] + }, + { + "cell_type": "markdown", + "id": "ede048ce", + "metadata": {}, + "source": [ + "## Convergence tests" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "22f544db", + "metadata": {}, + "outputs": [], + "source": [ + "import json\n", + "import hashlib\n", + "\n", + "def hash_dict(d, algo='md5'):\n", + " params_str = json.dumps(d, sort_keys=True)\n", + " hash_func = getattr(hashlib, algo)\n", + " return hash_func(params_str.encode('utf-8')).hexdigest()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "d79e68dd", + "metadata": {}, + "outputs": [], + "source": [ + "input_params_scale = {\n", + " \"cell_scale_value\" : [3, 5, 7, 9],\n", + " \"run\" : [5000, 10000, 20000],\n", + " \"temperature\" : [500],\n", + " \"strain\" : [0.0001],\n", + " \"seed\": [1357],\n", + " \"thermostat\" : [\"langevin\"]\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "64a69658", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'cell_scale_value': 3, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 3, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 3, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 5, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 5, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 5, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 7, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 7, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 7, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 9, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 9, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "{'cell_scale_value': 9, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n" + ] + } + ], + "source": [ + "from itertools import product\n", + "keys = input_params_scale.keys()\n", + "values = input_params_scale.values()\n", + "\n", + "for combo in product(*values):\n", + " params = dict(zip(keys, combo))\n", + " print(params)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "f17dd89b", + "metadata": {}, + "outputs": [], + "source": [ + "def run_convergence(structure, potential_name_str, input_params, project):\n", + "\n", + " from itertools import product\n", + " import os\n", + " \n", + " keys = input_params.keys()\n", + " values = input_params.values()\n", + "\n", + " results = []\n", + " for combo in product(*values):\n", + " params = dict(zip(keys, combo))\n", + " print('\\n')\n", + " print(params)\n", + " hash = hash_dict(params)\n", + " \n", + " if os.path.isfile(f\"{project.path}/results_{hash}.pkl\"):\n", + " print('Already has been run')\n", + " print('Loading pickled df')\n", + " results.append(pd.read_pickle(f\"{project.path}/results_{hash}.pkl\").iloc[[-1]].iloc[0].to_dict())\n", + " continue\n", + " \n", + " elastic_constants_list, tensor_dict = calculate_elastic_constants_at_finite_temperature(\n", + " structure = structure,\n", + " potential_name = potential_name_str,\n", + " **params\n", + " )\n", + "\n", + " temp_result = {\n", + " \"elastic_constants\": elastic_constants_list,\n", + " \"tensor_dict\": tensor_dict,\n", + " \"structure\": structure,\n", + " \"potential_name\" : potential_name_str,\n", + " \"input_params\": params\n", + " }\n", + "\n", + " temp_results_df = pd.DataFrame(temp_result)\n", + " temp_results_df.to_pickle(f\"{project.path}/results_{hash}.pkl\")\n", + "\n", + " results.append(temp_result)\n", + " \n", + " results_df = pd.DataFrame(results)\n", + " results_df.to_pickle(f\"{project.path}/results_all.pkl\")\n", + "\n", + " return results_df" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "fa6a27a6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\n", + "{'cell_scale_value': 3, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 3, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 3, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 5, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 5, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 5, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 7, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 7, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 7, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 9, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 9, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n", + "\n", + "\n", + "{'cell_scale_value': 9, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "Already has been run\n", + "Loading pickled df\n" + ] + } + ], + "source": [ + "results_df = run_convergence(\n", + " structure=relaxed_unit_cell,\n", + " potential_name_str=potential_name_str,\n", + " input_params = input_params_scale,\n", + " project = pr\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "537b6b8a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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elastic_constantstensor_dictstructurepotential_nameinput_params
0[157.80655843702144, 203.74599579507813, 67.06815829128631]{'C11': [[0.015780655843702144, 6.1357667728798774e-06, -6.0453607681161134e-05], [6.1357667728798774e-06, 0.011658592026782355, -4.0903593608576476e-05], [-6.0453607681161134e-05, -4.090359360857...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 3, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
1[55.99756367497742, 121.77641895697452, 16.830661553012764]{'C11': [[0.005599756367497742, 0.006515358865132798, -0.00033420411829100156], [0.006515358865132798, 0.03670360454386373, -0.020404265274293946], [-0.00033420411829100156, -0.020404265274293946,...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 3, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
2[336.4420006003439, 9.130226113949174, 2.889296915984925]{'C11': [[-0.033644200060034386, 0.008484583841194467, -0.011234714912053096], [0.008484583841194467, -0.0012502441216821897, -0.0134247106701357], [-0.011234714912053096, -0.0134247106701357, -0....(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 3, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
3[72.61801457557864, 8.747185661108487, 164.549893844669]{'C11': [[-0.007261801457557865, -0.0535476138982935, 0.0028943219816679315], [-0.0535476138982935, -0.02285195156196052, 0.015274505417882807], [0.0028943219816679315, 0.015274505417882807, -0.00...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 5, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
4[12.43236780101992, 234.6988190048664, 34.78244864256556]{'C11': [[-0.0012432367801019921, -0.03739072904659941, 0.004858566380618322], [-0.03739072904659941, 0.001610954930511884, 0.00912531592491048], [0.004858566380618322, 0.00912531592491048, 0.0341...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 5, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
5[115.11100680825328, 205.51781877404872, 66.81596030309132]{'C11': [[0.011511100680825328, -0.02895767451381075, 0.0030705058476428065], [-0.02895767451381075, 0.021485808835548688, 0.004357495021841485], [0.0030705058476428065, 0.004357495021841485, 0.04...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 5, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
6[164.75239654990705, 36.25172895641562, 116.81471991439919]{'C11': [[0.016475239654990707, 0.008648522256256928, 0.0016747634917063333], [0.008648522256256928, -0.03015513636578194, 0.005432858772316422], [0.0016747634917063333, 0.005432858772316422, 0.00...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 7, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
7[159.10106330608096, 119.68866593800591, 89.22491232662082]{'C11': [[0.015910106330608097, -0.013367089210977564, 0.0008440906095891168], [-0.013367089210977564, -0.006884257143886014, -0.003938430216467814], [0.0008440906095891168, -0.003938430216467814,...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 7, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
8[82.34741313929955, 148.00481701514244, 46.91521899937264]{'C11': [[0.008234741313929955, -0.0008846918951188204, 0.00389395072779581], [-0.0008846918951188204, 0.0011472014565838495, -0.004417555863499862], [0.00389395072779581, -0.004417555863499862, 0...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 7, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
9[334.2006574859938, 188.03937291378125, 27.13943395662747]{'C11': [[0.03342006574859938, -0.000816555191615458, -0.005253075511840638], [-0.000816555191615458, 0.02972520684404284, 0.002029705329301939], [-0.005253075511840638, 0.002029705329301939, 0.01...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 9, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
10[188.41412126154714, 149.41867450546306, 76.70305447954989]{'C11': [[0.018841412126154714, -0.002980143249327997, -0.00642618848561136], [-0.002980143249327997, 0.0237013173362935, -0.00036751209132154377], [-0.00642618848561136, -0.00036751209132154377, ...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 9, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
11[124.87926101356487, 147.27207318277678, 65.49235707203772]{'C11': [[0.012487926101356487, 0.0010546319335171448, -0.009712696063950671], [0.0010546319335171448, 0.019810228779145074, -0.00047187184879496797], [-0.009712696063950671, -0.000471871848794967...(Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...2001--Mishin-Y--Cu-1--LAMMPS--ipr1{'cell_scale_value': 9, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}
\n", + "
" + ], + "text/plain": [ + " elastic_constants \\\n", + "0 [157.80655843702144, 203.74599579507813, 67.06815829128631] \n", + "1 [55.99756367497742, 121.77641895697452, 16.830661553012764] \n", + "2 [336.4420006003439, 9.130226113949174, 2.889296915984925] \n", + "3 [72.61801457557864, 8.747185661108487, 164.549893844669] \n", + "4 [12.43236780101992, 234.6988190048664, 34.78244864256556] \n", + "5 [115.11100680825328, 205.51781877404872, 66.81596030309132] \n", + "6 [164.75239654990705, 36.25172895641562, 116.81471991439919] \n", + "7 [159.10106330608096, 119.68866593800591, 89.22491232662082] \n", + "8 [82.34741313929955, 148.00481701514244, 46.91521899937264] \n", + "9 [334.2006574859938, 188.03937291378125, 27.13943395662747] \n", + "10 [188.41412126154714, 149.41867450546306, 76.70305447954989] \n", + "11 [124.87926101356487, 147.27207318277678, 65.49235707203772] \n", + "\n", + " tensor_dict \\\n", + "0 {'C11': [[0.015780655843702144, 6.1357667728798774e-06, -6.0453607681161134e-05], [6.1357667728798774e-06, 0.011658592026782355, -4.0903593608576476e-05], [-6.0453607681161134e-05, -4.090359360857... \n", + "1 {'C11': [[0.005599756367497742, 0.006515358865132798, -0.00033420411829100156], [0.006515358865132798, 0.03670360454386373, -0.020404265274293946], [-0.00033420411829100156, -0.020404265274293946,... \n", + "2 {'C11': [[-0.033644200060034386, 0.008484583841194467, -0.011234714912053096], [0.008484583841194467, -0.0012502441216821897, -0.0134247106701357], [-0.011234714912053096, -0.0134247106701357, -0.... \n", + "3 {'C11': [[-0.007261801457557865, -0.0535476138982935, 0.0028943219816679315], [-0.0535476138982935, -0.02285195156196052, 0.015274505417882807], [0.0028943219816679315, 0.015274505417882807, -0.00... \n", + "4 {'C11': [[-0.0012432367801019921, -0.03739072904659941, 0.004858566380618322], [-0.03739072904659941, 0.001610954930511884, 0.00912531592491048], [0.004858566380618322, 0.00912531592491048, 0.0341... \n", + "5 {'C11': [[0.011511100680825328, -0.02895767451381075, 0.0030705058476428065], [-0.02895767451381075, 0.021485808835548688, 0.004357495021841485], [0.0030705058476428065, 0.004357495021841485, 0.04... \n", + "6 {'C11': [[0.016475239654990707, 0.008648522256256928, 0.0016747634917063333], [0.008648522256256928, -0.03015513636578194, 0.005432858772316422], [0.0016747634917063333, 0.005432858772316422, 0.00... \n", + "7 {'C11': [[0.015910106330608097, -0.013367089210977564, 0.0008440906095891168], [-0.013367089210977564, -0.006884257143886014, -0.003938430216467814], [0.0008440906095891168, -0.003938430216467814,... \n", + "8 {'C11': [[0.008234741313929955, -0.0008846918951188204, 0.00389395072779581], [-0.0008846918951188204, 0.0011472014565838495, -0.004417555863499862], [0.00389395072779581, -0.004417555863499862, 0... \n", + "9 {'C11': [[0.03342006574859938, -0.000816555191615458, -0.005253075511840638], [-0.000816555191615458, 0.02972520684404284, 0.002029705329301939], [-0.005253075511840638, 0.002029705329301939, 0.01... \n", + "10 {'C11': [[0.018841412126154714, -0.002980143249327997, -0.00642618848561136], [-0.002980143249327997, 0.0237013173362935, -0.00036751209132154377], [-0.00642618848561136, -0.00036751209132154377, ... \n", + "11 {'C11': [[0.012487926101356487, 0.0010546319335171448, -0.009712696063950671], [0.0010546319335171448, 0.019810228779145074, -0.00047187184879496797], [-0.009712696063950671, -0.000471871848794967... \n", + "\n", + " structure \\\n", + "0 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "1 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "2 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "3 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "4 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "5 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "6 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "7 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "8 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "9 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "10 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "11 (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999... \n", + "\n", + " potential_name \\\n", + "0 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "1 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "2 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "3 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "4 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "5 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "6 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "7 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "8 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "9 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "10 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "11 2001--Mishin-Y--Cu-1--LAMMPS--ipr1 \n", + "\n", + " input_params \n", + "0 {'cell_scale_value': 3, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "1 {'cell_scale_value': 3, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "2 {'cell_scale_value': 3, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "3 {'cell_scale_value': 5, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "4 {'cell_scale_value': 5, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "5 {'cell_scale_value': 5, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "6 {'cell_scale_value': 7, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "7 {'cell_scale_value': 7, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "8 {'cell_scale_value': 7, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "9 {'cell_scale_value': 9, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "10 {'cell_scale_value': 9, 'run': 10000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} \n", + "11 {'cell_scale_value': 9, 'run': 20000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'} " + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_df" + ] + }, + { + "cell_type": "markdown", + "id": "7b2376be", + "metadata": {}, + "source": [ + "### Results dataframe" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "bc41eeb5", + "metadata": {}, + "outputs": [], + "source": [ + "results_df['cell_scale_value'] = results_df['input_params'].apply(lambda x: x.get('cell_scale_value'))\n", + "results_df['run'] = results_df['input_params'].apply(lambda x: x.get('run'))" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "9938559e", + "metadata": {}, + "outputs": [], + "source": [ + "results_df['n_atoms'] = ((results_df['cell_scale_value'])**3) * 4" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "e28ec261", + "metadata": {}, + "outputs": [], + "source": [ + "results_df[['C11', 'C12', 'C44']] = pd.DataFrame(results_df['elastic_constants'].tolist(), index=results_df.index)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "f6c8c68e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "elastic_constants [157.80655843702144, 203.74599579507813, 67.06815829128631]\n", + "tensor_dict {'C11': [[0.015780655843702144, 6.1357667728798774e-06, -6.0453607681161134e-05], [6.1357667728798774e-06, 0.011658592026782355, -4.0903593608576476e-05], [-6.0453607681161134e-05, -4.090359360857...\n", + "structure (Atom('Cu', [np.float64(0.018199959460699095), np.float64(0.018199959460699095), np.float64(0.018199959460699095)], index=0), Atom('Cu', [np.float64(0.01819995946069909), np.float64(1.825699999999...\n", + "potential_name 2001--Mishin-Y--Cu-1--LAMMPS--ipr1\n", + "input_params {'cell_scale_value': 3, 'run': 5000, 'temperature': 500, 'strain': 0.0001, 'seed': 1357, 'thermostat': 'langevin'}\n", + "cell_scale_value 3\n", + "run 5000\n", + "n_atoms 108\n", + "C11 157.806558\n", + "C12 203.745996\n", + "C44 67.068158\n", + "Name: 0, dtype: object" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_df.iloc[0]" + ] + }, + { + "cell_type": "markdown", + "id": "ae910872", + "metadata": {}, + "source": [ + "### Plots" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "d40b161d", + "metadata": {}, + "outputs": [], + "source": [ + "import seaborn as sns" + ] + }, + { + "cell_type": "markdown", + "id": "c91c89d8", + "metadata": {}, + "source": [ + "#### Dependence of elastic constants on size scaling and number of MD steps" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "0a511e58", + "metadata": {}, + "outputs": [], + "source": [ + "results_melted = results_df.melt(id_vars=['n_atoms', 'run'], value_vars=['C11', 'C12', 'C44'],\n", + " var_name='Elastic Constant', value_name='Value')" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "6b3a9eea", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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n_atomsrunElastic ConstantValue
01085000C11157.806558
110810000C1155.997564
210820000C11336.442001
35005000C1172.618015
450010000C1112.432368
550020000C11115.111007
613725000C11164.752397
7137210000C11159.101063
8137220000C1182.347413
929165000C11334.200657
10291610000C11188.414121
11291620000C11124.879261
121085000C12203.745996
1310810000C12121.776419
1410820000C129.130226
155005000C128.747186
1650010000C12234.698819
1750020000C12205.517819
1813725000C1236.251729
19137210000C12119.688666
20137220000C12148.004817
2129165000C12188.039373
22291610000C12149.418675
23291620000C12147.272073
241085000C4467.068158
2510810000C4416.830662
2610820000C442.889297
275005000C44164.549894
2850010000C4434.782449
2950020000C4466.815960
3013725000C44116.814720
31137210000C4489.224912
32137220000C4446.915219
3329165000C4427.139434
34291610000C4476.703054
35291620000C4465.492357
\n", + "
" + ], + "text/plain": [ + " n_atoms run Elastic Constant Value\n", + "0 108 5000 C11 157.806558\n", + "1 108 10000 C11 55.997564\n", + "2 108 20000 C11 336.442001\n", + "3 500 5000 C11 72.618015\n", + "4 500 10000 C11 12.432368\n", + "5 500 20000 C11 115.111007\n", + "6 1372 5000 C11 164.752397\n", + "7 1372 10000 C11 159.101063\n", + "8 1372 20000 C11 82.347413\n", + "9 2916 5000 C11 334.200657\n", + "10 2916 10000 C11 188.414121\n", + "11 2916 20000 C11 124.879261\n", + "12 108 5000 C12 203.745996\n", + "13 108 10000 C12 121.776419\n", + "14 108 20000 C12 9.130226\n", + "15 500 5000 C12 8.747186\n", + "16 500 10000 C12 234.698819\n", + "17 500 20000 C12 205.517819\n", + "18 1372 5000 C12 36.251729\n", + "19 1372 10000 C12 119.688666\n", + "20 1372 20000 C12 148.004817\n", + "21 2916 5000 C12 188.039373\n", + "22 2916 10000 C12 149.418675\n", + "23 2916 20000 C12 147.272073\n", + "24 108 5000 C44 67.068158\n", + "25 108 10000 C44 16.830662\n", + "26 108 20000 C44 2.889297\n", + "27 500 5000 C44 164.549894\n", + "28 500 10000 C44 34.782449\n", + "29 500 20000 C44 66.815960\n", + "30 1372 5000 C44 116.814720\n", + "31 1372 10000 C44 89.224912\n", + "32 1372 20000 C44 46.915219\n", + "33 2916 5000 C44 27.139434\n", + "34 2916 10000 C44 76.703054\n", + "35 2916 20000 C44 65.492357" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_melted" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "57f7c519", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "g = sns.relplot(data=results_melted, x='n_atoms', y='Value', hue='run', col='Elastic Constant', kind='scatter', facet_kws={'sharey': False})\n", + "g.set_axis_labels('Number of atoms', 'Elastic constant (GPa)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1040ef80", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "atomistics", + "language": "python", + "name": "dev-atomistics" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_23-07-25.ipynb b/hackathon/elastic_constants/MD/MD_23-07-25.ipynb new file mode 100644 index 0000000..673093a --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_23-07-25.ipynb @@ -0,0 +1,398 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "314284cf", + "metadata": {}, + "outputs": [], + "source": [ + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [], + "source": [ + "structure = bulk('Al', 'fcc', a=4.05, cubic=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name = \"1999--Mishin-Y--Al--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + ")\n" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure(structure: Atoms, potential: str) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "2c46da55", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There was an error initializing an OpenFabrics device.\n", + "\n", + " Local host: cmti001\n", + " Local device: hfi1_0\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Al4', pbc=True, cell=[4.050004662201837, 4.050004662201837, 4.050004662201837])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure = get_relaxed_structure(structure, potential_name)\n", + "relaxed_structure" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure(structure, potential)\n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "4.050004662201837" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(structure, potential_name)\n", + "a_0" + ] + }, + { + "cell_type": "markdown", + "id": "91518721", + "metadata": {}, + "source": [ + "# Skeleton for the workflow" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "347e96fd", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: \"ase.atoms.Atoms\", engine) -> float:\n", + " ...\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "567a21f6-e0ab-46b1-970e-e780fd506e18", + "metadata": {}, + "outputs": [], + "source": [ + "def get_lattice_constant_with_QH(\n", + " structure: \"ase.atoms.Atoms\",\n", + " temperature: list[float] | float,\n", + " engine,\n", + " **kwargs,\n", + ") -> list[float] | float:\n", + " ...\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "21d46f96-f98e-4162-851f-a394cad338cd", + "metadata": {}, + "outputs": [], + "source": [ + "def get_lattice_constant_with_MD_NPT(\n", + " structure: Atoms,\n", + " temperature: list[float] | float,\n", + " engine,\n", + " **kwargs,\n", + ") -> list[float] | float:\n", + " ...\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f4746ba6-a30d-4185-991a-bd44ba18f345", + "metadata": {}, + "outputs": [], + "source": [ + "def get_lattice_constant_with_MD_NVT(\n", + " structure: \"ase.atoms.Atoms\",\n", + " temperature: list[float] | float,\n", + " engine,\n", + " **kwargs,\n", + ") -> list[float] | float:\n", + " ...\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c827ae3e-dfb2-4f01-ad77-0ffc849f5478", + "metadata": {}, + "outputs": [], + "source": [ + "def get_deformations(structure) -> list[list[float, float, float, float, float, float]]:\n", + " ...\n", + " return epsilon" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ccbad139-2a35-48a3-a40b-1807a78e2c8a", + "metadata": {}, + "outputs": [], + "source": [ + "# distribute get_stress_with_MD\n", + "\n", + "def get_stress_with_MD(\n", + " structure, temperature, strains: list[float, float, float, float, float, float], engine\n", + "):\n", + " ...\n", + " return sigma\n", + "\n", + "def get_energy_with_MD(structure, temperature, strains, engine):\n", + " ...\n", + " return energy\n", + "\n", + "def get_stress_with_QH(structure, temperature, strains, engine):\n", + " ...\n", + " return sigma\n", + "\n", + "def get_energy_with_QH(structure, temperature, strains, engine):\n", + " ...\n", + " return energy" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "pyiron-latest", + "language": "python", + "name": "pyiron-latest" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/MD/MD_30-07-25.ipynb b/hackathon/elastic_constants/MD/MD_30-07-25.ipynb new file mode 100644 index 0000000..95deed4 --- /dev/null +++ b/hackathon/elastic_constants/MD/MD_30-07-25.ipynb @@ -0,0 +1,1186 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4a26f12c-f1c4-4262-b978-8afec1537ae1", + "metadata": {}, + "source": [ + "# Temperature dependent elastic constants\n", + "\n", + "## Background\n", + "\n", + "$$C_{ijkl} = \\frac{1}{V} \\frac{\\partial^2 U}{\\partial \\varepsilon_{ij}\\partial \\varepsilon_{kl}}$$\n", + "\n", + "$$U(T) = \\frac{V}{2}C_{ijkl}(T)\\varepsilon_{ij}\\varepsilon_{kl}$$\n", + "\n", + "$$\\sigma_{ij} = C_{ijkl}{\\varepsilon_{kl}}$$\n", + "\n", + "### How to get $U$ or $\\sigma$\n", + "\n", + "- MD\n", + "- Quasi-Harmonic\n", + "\n", + "## Tasks\n", + "\n", + "- Get $a_0$ from potential\n", + "- Lattice parameter (as a function of T)\n", + " - MD\n", + " - NVT\n", + " - NPT\n", + " - QH\n", + "- Calculate $U$ or $\\sigma$ for various $\\varepsilon$\n", + " - MD: Equilibriate and average with LAMMPS\n", + " - QH: Get strains from Yuriy's tool and run phonopy\n", + "- Fit\n", + "\n", + "## Teams\n", + "\n", + "- MD: Erik, Han, (Raynol), Prabhath, Jan\n", + "- QH: Raynol, (Sam), Bharathi, Ahmed, Haitham\n", + "- Fit & Yuriy: Sam\n", + "- Literature" + ] + }, + { + "cell_type": "markdown", + "id": "37118728", + "metadata": {}, + "source": [ + "# Implementation" + ] + }, + { + "cell_type": "markdown", + "id": "e0b4e2eb", + "metadata": {}, + "source": [ + "* https://atomistics.readthedocs.io/en/latest/bulk_modulus_with_gpaw.html#elastic-matrix\n", + "* https://github.com/pyiron/atomistics/blob/main/tests/test_elastic_lammpslib_functional.py\n", + "* https://github.com/pyiron/pyiron_workflow_atomistics/blob/interstitials/pyiron_workflow_atomistics/dataclass_storage.py\n", + "* https://github.com/ligerzero-ai/pyiron_workflow_lammps/blob/main/pyiron_workflow_lammps/engine.py#L21" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ab2a0224", + "metadata": {}, + "outputs": [], + "source": [ + "from ase.build import bulk\n", + "from ase.atoms import Atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "314284cf", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import os\n", + "import pandas as pd\n", + "\n", + "from atomistics.workflows.elastic.workflow import (\n", + " analyse_structures_helper,\n", + " generate_structures_helper,\n", + ")\n", + "\n", + "from atomistics.calculators import evaluate_with_lammpslib, get_potential_by_name" + ] + }, + { + "cell_type": "markdown", + "id": "0640a5d2", + "metadata": {}, + "source": [ + "## Create bulk sample" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4ce06b81", + "metadata": {}, + "outputs": [], + "source": [ + "structure = bulk('Al', 'fcc', a=4.05, cubic=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b07fbd51", + "metadata": {}, + "outputs": [], + "source": [ + "potential_name = \"1999--Mishin-Y--Al--LAMMPS--ipr1\"" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "34e9442c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + ")\n" + ] + }, + { + "cell_type": "markdown", + "id": "b02f41d3", + "metadata": {}, + "source": [ + "## 0K Relaxed Structure" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "92ee7631", + "metadata": {}, + "outputs": [], + "source": [ + "def get_relaxed_structure(structure: Atoms, potential: str) -> Atoms:\n", + " \n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + " \n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"optimize_positions_and_volume\": structure},\n", + " potential_dataframe=df_pot_selected,\n", + " )\n", + " \n", + " structure_relaxed = result_dict['structure_with_optimized_positions_and_volume']\n", + "\n", + " return structure_relaxed" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "2c46da55", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "--------------------------------------------------------------------------\n", + "WARNING: There was an error initializing an OpenFabrics device.\n", + "\n", + " Local host: cmti001\n", + " Local device: hfi1_0\n", + "--------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Al4', pbc=True, cell=[4.050004662201837, 4.050004662201837, 4.050004662201837])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure = get_relaxed_structure(structure, potential_name)\n", + "relaxed_structure" + ] + }, + { + "cell_type": "markdown", + "id": "115a15d0", + "metadata": {}, + "source": [ + "## 0K Lattice Constant" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6ce6b4ba-ed90-4d53-a502-549e2980a481", + "metadata": {}, + "outputs": [], + "source": [ + "def get_minimum_lattice_constant(structure: Atoms, potential: str) -> float:\n", + "\n", + " structure_relaxed = get_relaxed_structure(structure, potential)\n", + " a_0 = structure_relaxed.get_volume()**(1/3) #Angstrom\n", + "\n", + " return a_0" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "e49c9a2b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n" + ] + }, + { + "data": { + "text/plain": [ + "4.050004662201837" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_0 = get_minimum_lattice_constant(structure, potential_name)\n", + "a_0" + ] + }, + { + "cell_type": "markdown", + "id": "f011489c", + "metadata": {}, + "source": [ + "## Calculate C11" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "05203bab", + "metadata": {}, + "outputs": [], + "source": [ + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "eda3ed8b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Atoms(symbols='Al4', pbc=True, cell=[4.029754638890828, 4.050004662201837, 4.050004662201837])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "structure_strained = relaxed_structure.copy()\n", + "\n", + "structure_strained.set_cell(\n", + " [structure_strained.get_cell()[0]*(0.995), structure_strained.get_cell()[1], structure_strained.get_cell()[2]],\n", + " scale_atoms=True\n", + ")\n", + "\n", + "structure_strained" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "d9b840d8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Relaxed stress:\n", + " [[-2.43580132e-04 2.02497379e-11 2.52703340e-11]\n", + " [ 2.02497379e-11 -2.43580106e-04 2.62291021e-11]\n", + " [ 2.52703340e-11 2.62291021e-11 -2.43580114e-04]]\n", + "Strained stress:\n", + " [[ 5.72921753e+03 -1.46328933e-11 -1.22781749e-11]\n", + " [-1.46328933e-11 3.07529760e+03 2.34727955e-11]\n", + " [-1.22781749e-11 2.34727955e-11 3.07529760e+03]]\n" + ] + }, + { + "data": { + "text/plain": [ + "1145843.555110171" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_dict = calc_static_with_lammpslib(structure=relaxed_structure, potential_dataframe= df_pot_selected)\n", + "strained_dict = calc_static_with_lammpslib(structure=structure_strained, potential_dataframe= df_pot_selected)\n", + "\n", + "print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + "print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + "diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "C11 = diff[0, 0] / 0.005\n", + "# C12 = diff[0, 1] / 0.005\n", + "\n", + "C11" + ] + }, + { + "cell_type": "markdown", + "id": "e5d08ec7", + "metadata": {}, + "source": [ + "## Calculate C12" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "ba91a29a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Atoms(symbols='Al4', pbc=True, cell=[4.029754638890828, 4.029754638890828, 4.050004662201837])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "structure_strained = relaxed_structure.copy()\n", + "\n", + "structure_strained.set_cell(\n", + " [structure_strained.get_cell()[0]*(0.995), structure_strained.get_cell()[1]*(0.995), structure_strained.get_cell()[2]],\n", + " scale_atoms=True\n", + ")\n", + "\n", + "structure_strained" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "0f505345", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Relaxed stress:\n", + " [[-2.43580132e-04 2.02497379e-11 2.52703340e-11]\n", + " [ 2.02497379e-11 -2.43580106e-04 2.62291021e-11]\n", + " [ 2.52703340e-11 2.62291021e-11 -2.43580114e-04]]\n", + "Strained stress:\n", + " [[ 8.80299001e+03 1.47064255e-11 -2.02847248e-12]\n", + " [ 1.47064255e-11 8.80299001e+03 7.45067521e-12]\n", + " [-2.02847248e-12 7.45067521e-12 6.13579643e+03]]\n" + ] + }, + { + "data": { + "text/plain": [ + "613579.6671739953" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_dict = calc_static_with_lammpslib(structure=relaxed_structure, potential_dataframe= df_pot_selected)\n", + "strained_dict = calc_static_with_lammpslib(structure=structure_strained, potential_dataframe= df_pot_selected)\n", + "\n", + "print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + "print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + "diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "# C11 = diff[0, 0] / 0.005\n", + "# C12 = diff[0, 1] / 0.005\n", + "\n", + "sigma11 = diff[0, 0]\n", + "sigma33 = diff[2, 2]\n", + "\n", + "C12 = (sigma33/ 0.005) /2\n", + "C12" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "cc09eeb0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "614754.4955247561" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sigma11/ 0.005 - C11" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "8b268cdf", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "614754.4955247543" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sigma22 = diff[1, 1]\n", + "sigma22/ 0.005 - C11" + ] + }, + { + "cell_type": "markdown", + "id": "aafefd47", + "metadata": {}, + "source": [ + "## Calculate C44" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "22a5e5d4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "66.43035441556098" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure.get_volume()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "1ad41d90", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[[4.050004662201837, 0.0, 0.0],\n", + " [0.0, 4.050004662201837, 0.0],\n", + " [0.0, 0.0, 4.050004662201837]]" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure.get_cell().tolist()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "0731affd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[4.05000466e+00 0.00000000e+00 0.00000000e+00]\n", + " [0.00000000e+00 4.05000466e+00 2.02500233e-03]\n", + " [0.00000000e+00 2.02500233e-03 4.05000466e+00]]\n" + ] + }, + { + "data": { + "text/plain": [ + "Atoms(symbols='Al4', pbc=True, cell=[[4.050004662201837, 0.0, 0.0], [0.0, 4.050004662201837, 0.0020250023311009185], [0.0, 0.0020250023311009185, 4.050004662201837]])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "structure_strained = relaxed_structure.copy()\n", + "relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + "F = np.eye(3,3) + np.array([\n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0.0005],\n", + " [ 0, 0.0005, 0]\n", + "])\n", + "\n", + "strained_cell = F@relaxed_cell\n", + "print(strained_cell)\n", + "\n", + "structure_strained.set_cell(\n", + " strained_cell,\n", + " scale_atoms=True\n", + ")\n", + "\n", + "structure_strained" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "50f40925", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "66.43033780797236" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "structure_strained.get_volume()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "a0ece7ec", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "eb1154d4437f492287fcd14918dd9171", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "516d8d2507f2462aaa2d59933f0d0f9f", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "NGLWidget()" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from structuretoolkit.visualize import plot3d\n", + "\n", + "plot3d(structure_strained)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "c598b3e8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Relaxed stress:\n", + " [[-2.43580132e-04 2.02497379e-11 2.52703340e-11]\n", + " [ 2.02497379e-11 -2.43580106e-04 2.62291021e-11]\n", + " [ 2.52703340e-11 2.62291021e-11 -2.43580114e-04]]\n", + "Strained stress:\n", + " [[ 4.10367247e-01 -3.37954779e-11 -1.97645834e-11]\n", + " [-3.37954779e-11 3.47506713e-01 -3.15961812e+02]\n", + " [-1.97645834e-11 -3.15961812e+02 3.47506713e-01]]\n", + "Stress difference:\n", + " [[ 4.10610827e-01 -5.40452157e-11 -4.50349174e-11]\n", + " [-5.40452157e-11 3.47750293e-01 -3.15961812e+02]\n", + " [-4.50349174e-11 -3.15961812e+02 3.47750293e-01]]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "-315961.8121188986" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_dict = calc_static_with_lammpslib(structure=relaxed_structure, potential_dataframe= df_pot_selected)\n", + "strained_dict = calc_static_with_lammpslib(structure=structure_strained, potential_dataframe= df_pot_selected)\n", + "\n", + "print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + "print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + "diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "print(\"Stress difference:\\n\", diff)\n", + "\n", + "sigma23 = diff[2, 1]\n", + "\n", + "C44 = sigma23 / (2 *0.0005)\n", + "C44" + ] + }, + { + "cell_type": "markdown", + "id": "49018633", + "metadata": {}, + "source": [ + "## Combined function for elastic constants at 0K" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fc5abe51", + "metadata": {}, + "outputs": [], + "source": [ + "def get_elastic_constant_after_deformation(structure : Atoms, potential_dataframe : pd.DataFrame, elastic_constant : str, deformation_gradient : np.array, strain : float):\n", + "\n", + " from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib # FIXME: Add to top later!\n", + "\n", + " structure_strained = structure.copy()\n", + " relaxed_cell = np.array(structure_strained.get_cell().tolist())\n", + "\n", + " strained_cell = deformation_gradient@relaxed_cell\n", + " structure_strained.set_cell(strained_cell, scale_atoms=True)\n", + "\n", + " relaxed_dict = calc_static_with_lammpslib(structure=structure, potential_dataframe=potential_dataframe)\n", + " strained_dict = calc_static_with_lammpslib(structure=structure_strained, potential_dataframe=potential_dataframe)\n", + "\n", + " # print(\"Relaxed stress:\\n\", relaxed_dict['stress'])\n", + " # print(\"Strained stress:\\n\", strained_dict['stress'])\n", + "\n", + " diff = strained_dict['stress'] - relaxed_dict['stress']\n", + "\n", + " if elastic_constant == 'C11':\n", + " constant = diff[0, 0] / strain\n", + "\n", + " elif elastic_constant == 'C12':\n", + " sigma33 = diff[2, 2]\n", + " constant = (sigma33/ strain) / 2\n", + "\n", + " elif elastic_constant == 'C44':\n", + " sigma23 = diff[2, 1]\n", + " constant = sigma23 / (2 * strain)\n", + "\n", + " return abs(constant)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "085147e6", + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_elastic_constants(structure : Atoms, potential : str, strain : float = 0.005) -> list:\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " elastic_constants_list = []\n", + "\n", + " deformation_gradient_dict = {\n", + " 'C11': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, 0, 0],\n", + " [ 0, 0, 0]]),\n", + " 'C12': np.eye(3,3) + np.array([[ strain, 0, 0], \n", + " [ 0, strain, 0], \n", + " [ 0, 0, 0]]),\n", + " 'C44': np.eye(3,3) + np.array([[ 0, 0, 0], \n", + " [ 0, 0, strain], \n", + " [ 0, strain, 0]])\n", + " }\n", + "\n", + " for constant_str, deformation_gradient in deformation_gradient_dict.items():\n", + " const = get_elastic_constant_after_deformation(structure=structure, \n", + " potential_dataframe=df_pot_selected, \n", + " elastic_constant=constant_str, \n", + " deformation_gradient=deformation_gradient,\n", + " strain=strain)\n", + " elastic_constants_list.append(const)\n", + "\n", + " return elastic_constants_list" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "a0c86f48", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "[1145843.555110171, 613579.6671739953, 316998.27964768995]" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calculate_elastic_constants(structure=relaxed_structure, potential=potential_name, strain=-0.005)" + ] + }, + { + "cell_type": "markdown", + "id": "82782a43", + "metadata": {}, + "source": [ + "## Function to fit elastic constants" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "fc065d18", + "metadata": {}, + "outputs": [], + "source": [ + "from atomistics.calculators.lammps.libcalculator import calc_static_with_lammpslib" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "432a25fc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n" + ] + }, + { + "data": { + "text/plain": [ + "OrderedDict([('s_e_0',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.050004662201837, 4.050004662201837, 4.050004662201837])),\n", + " ('s_01_e_m0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.0297037591141, 4.0297037591141, 4.0297037591141])),\n", + " ('s_01_e_m0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.039866962542076, 4.039866962542076, 4.039866962542076])),\n", + " ('s_01_e_0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.060117049134704, 4.060117049134704, 4.060117049134704])),\n", + " ('s_01_e_0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.07020431200885, 4.07020431200885, 4.07020431200885])),\n", + " ('s_08_e_m0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.0297037591141, 4.0297037591141, 4.050004662201837])),\n", + " ('s_08_e_m0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.039866962542076, 4.039866962542076, 4.050004662201837])),\n", + " ('s_08_e_0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.060117049134704, 4.060117049134704, 4.050004662201837])),\n", + " ('s_08_e_0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[4.07020431200885, 4.07020431200885, 4.050004662201837])),\n", + " ('s_23_e_m0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.049902896230618, -0.020301415778231937, -0.020301415778231937], [-0.020301415778231937, 4.049902896230618, -0.020301415778231937], [-0.020301415778231937, -0.020301415778231937, 4.049902896230618]])),\n", + " ('s_23_e_m0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.049979285794635, -0.01013776334026729, -0.01013776334026729], [-0.01013776334026729, 4.049979285794635, -0.01013776334026729], [-0.01013776334026729, -0.01013776334026729, 4.049979285794635]])),\n", + " ('s_23_e_0_00250',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.049979412364202, 0.010112449822324114, 0.010112449822324114], [0.010112449822324114, 4.049979412364202, 0.010112449822324114], [0.010112449822324114, 0.010112449822324114, 4.049979412364202]])),\n", + " ('s_23_e_0_00500',\n", + " Atoms(symbols='Al4', pbc=True, cell=[[4.0499039089532864, 0.020200149839186558, 0.020200149839186558], [0.020200149839186558, 4.0499039089532864, 0.020200149839186558], [0.020200149839186558, 0.020200149839186558, 4.0499039089532864]]))])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sym_dict, structure_dict = generate_structures_helper(\n", + " structure=relaxed_structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + ")\n", + "structure_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "a2ad0a82", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "({'SGN': 225,\n", + " 'v0': 66.43035441556098,\n", + " 'LC': 'CI',\n", + " 'Lag_strain_list': ['01', '08', '23'],\n", + " 'epss': array([-0.005 , -0.0025, 0. , 0.0025, 0.005 ]),\n", + " 'strain_energy': [[(-0.005, -13.436320248980278),\n", + " (-0.0025, -13.439079680886989),\n", + " (0.0, -13.439999952735112),\n", + " (0.0024999999999999996, -13.439084974614394),\n", + " (0.005, -13.436364320399795)],\n", + " [(-0.005, -13.43817471490433),\n", + " (-0.0025, -13.439544638502635),\n", + " (0.0, -13.439999952735112),\n", + " (0.0024999999999999996, -13.43954822781134),\n", + " (0.005, -13.43820419261515)],\n", + " [(-0.005, -13.437971451918393),\n", + " (-0.0025, -13.439501038418326),\n", + " (0.0, -13.439999952735112),\n", + " (0.0024999999999999996, -13.439515785430654),\n", + " (0.005, -13.438089441277945)]],\n", + " 'e0': -13.439999952735112,\n", + " 'A2': array([2.20130388, 1.08985578, 1.1861949 ])},\n", + " {'elastic_matrix': array([[114.103117 , 60.51102935, 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 114.103117 , 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 60.51102935, 114.103117 , 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 31.67489592,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 31.67489592, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 31.67489592]]),\n", + " 'elastic_matrix_inverse': array([[ 0.01385733, -0.00480214, -0.00480214, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00480214, 0.01385733, -0.00480214, 0. , 0. ,\n", + " 0. ],\n", + " [-0.00480214, -0.00480214, 0.01385733, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0.03157074, 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0.03157074,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0.03157074]]),\n", + " 'bulkmodul_voigt': 78.37505856676479,\n", + " 'bulkmodul_reuss': 78.37505856676478,\n", + " 'bulkmodul_hill': 78.37505856676478,\n", + " 'shearmodul_voigt': 29.7233550814532,\n", + " 'shearmodul_reuss': 29.524633431767093,\n", + " 'shearmodul_hill': 29.623994256610146,\n", + " 'youngsmodul_voigt': 79.16270932635159,\n", + " 'youngsmodul_reuss': 78.69249533069122,\n", + " 'youngsmodul_hill': 78.92769056458738,\n", + " 'poissonsratio_voigt': 0.3316583728420953,\n", + " 'poissonsratio_reuss': 0.33265829553063747,\n", + " 'poissonsratio_hill': 0.3321581465500026,\n", + " 'AVR': 0.33540657610977775,\n", + " 'elastic_matrix_eigval': EigResult(eigenvalues=array([ 53.59208766, 235.1251757 , 53.59208766, 31.67489592,\n", + " 31.67489592, 31.67489592]), eigenvectors=array([[-0.81649658, 0.57735027, -0.05412602, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, -0.67848839, 0. , 0. ,\n", + " 0. ],\n", + " [ 0.40824829, 0.57735027, 0.73261441, 0. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 1. , 0. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 1. ,\n", + " 0. ],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 1. ]]))})" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_pot_selected = get_potential_by_name(\n", + " potential_name=potential_name\n", + ")\n", + "\n", + "result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + ")\n", + "\n", + "sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + ")\n", + "\n", + "sym_dict, elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "a6b97eff-c327-4c7e-b280-16777d3f3c7d", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_elastic_constants(structure: Atoms, potential: str, strains, stresses=None, energies=None):\n", + "\n", + " sym_dict, structure_dict = generate_structures_helper(\n", + " structure=structure,\n", + " eps_range=0.005,\n", + " num_of_point=5,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " sqrt_eta=True,\n", + " )\n", + "\n", + " df_pot_selected = get_potential_by_name(\n", + " potential_name=potential\n", + " )\n", + "\n", + " result_dict = evaluate_with_lammpslib(\n", + " task_dict={\"calc_energy\": structure_dict},\n", + " potential_dataframe=df_pot_selected,\n", + " )\n", + "\n", + " sym_dict, elastic_dict = analyse_structures_helper(\n", + " output_dict=result_dict,\n", + " sym_dict=sym_dict,\n", + " fit_order=2,\n", + " zero_strain_job_name=\"s_e_0\",\n", + " )\n", + "\n", + " return elastic_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "a7c156eb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/workflows/elastic/symmetry.py:32: DeprecationWarning: dict interface is deprecated. Use attribute interface instead\n", + " SGN = dataset[\"number\"]\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/potential.py:324: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_pot[\"Config\"] = config_lst\n", + "/cmmc/ptmp/pyironhb/pyiron_latest_env/lib/python3.11/site-packages/atomistics/calculators/lammps/helpers.py:29: UserWarning: Warning: setting upper trangular matrix might slow down the calculation\n", + " lmp.interactive_structure_setter(\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[114.103117 , 60.51102935, 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 114.103117 , 60.51102935, 0. ,\n", + " 0. , 0. ],\n", + " [ 60.51102935, 60.51102935, 114.103117 , 0. ,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 31.67489592,\n", + " 0. , 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 31.67489592, 0. ],\n", + " [ 0. , 0. , 0. , 0. ,\n", + " 0. , 31.67489592]])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "relaxed_structure = get_relaxed_structure(structure, potential_name)\n", + "elast_dict = fit_elastic_constants(\n", + " structure=relaxed_structure,\n", + " potential=potential_name,\n", + " strains=None)\n", + "elast_dict['elastic_matrix']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e2b61396-042c-42a6-9320-1860442aff58", + "metadata": {}, + "outputs": [], + "source": [ + "def get_bulk_structure(\n", + " name: str,\n", + " crystalstructure=None,\n", + " a=None,\n", + " b=None,\n", + " c=None,\n", + " alpha=None,\n", + " covera=None,\n", + " u=None,\n", + " orthorhombic=False,\n", + " cubic=False,\n", + " basis=None,\n", + "):\n", + " from ase.build import bulk\n", + " equil_struct = bulk(\n", + " name=name,\n", + " crystalstructure=crystalstructure,\n", + " a=a,\n", + " b=b,\n", + " c=c,\n", + " alpha=alpha,\n", + " covera=covera,\n", + " u=u,\n", + " orthorhombic=orthorhombic,\n", + " cubic=cubic,\n", + " basis=basis,\n", + " )\n", + " return equil_struct" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "pyiron-latest", + "language": "python", + "name": "pyiron-latest" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/hackathon/elastic_constants/main.ipynb b/hackathon/elastic_constants/MD/main.ipynb similarity index 100% rename from hackathon/elastic_constants/main.ipynb rename to hackathon/elastic_constants/MD/main.ipynb