{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Using the Poisson-Boltzmann solver code with real data. \n", "\n", "**Running the code in this notebook (under Mott-Schottky conditions with real data) takes approximately 2 minutes (iMac with 4 Ghz i7 processor).**\n", "\n", "This example uses real data generated for the 111 grain boundary orientation in gadolinium doped ceria ( $\\mathrm{Gd-CeO_2}$ ). The data was generated using METADISE which is a computer program that performs atomic scale simulations of crystal structures. These simulations allow dislocations, surfaces and interfaces to be studied. METADISE has been used to study a number of grain boundaries in gadolinium doped ceria and individual defect energies and positions were calculated for gadolinium ions at cerium sites and vacancies at oxygen sites. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from pyscses.defect_species import DefectSpecies\n", "from pyscses.set_of_sites import SetOfSites\n", "from pyscses.constants import boltzmann_eV\n", "from pyscses.calculation import Calculation, calculate_activation_energies\n", "from pyscses.set_up_calculation import calculate_grid_offsets\n", "from pyscses.grid import Grid\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "boundary_conditions = 'periodic'\n", "site_charges = False\n", "systems = 'mott-schottky'\n", "core_models = False\n", "site_models = 'site_explicit'" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "alpha = 0.0005\n", "conv = 1e-8\n", "grid_x_min = -6.094e-9\n", "grid_x_max = 5.16e-9\n", "bulk_x_min = -5.783e-9\n", "bulk_x_max = -2.502e-9\n", "\n", "dielectric = 55\n", "\n", "index = 111\n", "b = 7.65327e-10\n", "c = 7.65327e-10\n", "\n", "temp = [ 773.15 ]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "valence = [ +2.0, -1.0 ]\n", "site_labels = [ 'O', 'Ce' ]\n", "defect_labels = ['Vo', 'Gd']\n", "mole_fractions = np.array([ [ 0.05, 0.2 ] ])\n", "initial_guess = [ [ 0.05, 0.2 ] ]\n", "mobilities = [ 1.0, 0.0 ]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "data = '../input_data/Gd_CeO2_111_data.txt'" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--- 120.60773086547852 seconds ---\n" ] } ], "source": [ "limits, laplacian_limits = calculate_grid_offsets( data, grid_x_min, grid_x_max, 'single' )\n", "\n", "for m in mole_fractions:\n", " for t in temp:\n", " \n", " defect_species = { l : DefectSpecies( l, v, m, mob ) for l, v, m, mob in zip( defect_labels, valence, m, mobilities ) }\n", "\n", " all_sites = SetOfSites.set_of_sites_from_input_data( data, [grid_x_min, grid_x_max], defect_species, site_charges, core_models, t )\n", " if site_models == 'continuum':\n", " all_sites, limits = SetOfSites.form_continuum_sites( all_sites, grid_x_min, grid_x_max, 1000, b, c, defect_species, laplacian_limits, site_labels, defect_labels )\n", " if systems == 'mott-schottky':\n", " for site in all_sites.subset( 'Ce' ):\n", " site.defect_with_label('Gd').fixed = True\n", " if systems == 'gouy-chapman':\n", " for site in all_sites.subset( 'Ce' ):\n", " site.defect_with_label('Gd').fixed = False\n", " grid = Grid.grid_from_set_of_sites( all_sites, limits, laplacian_limits, b, c )\n", " \n", " c_o = Calculation( grid, bulk_x_min, bulk_x_max, alpha, conv, dielectric, t, boundary_conditions )\n", " c_o.form_subgrids( site_labels )\n", " if systems == 'gouy-chapman':\n", " c_o.mole_fraction_correction( m, systems, initial_guess )\n", " c_o.solve(systems)\n", " c_o.mole_fractions()\n", " c_o.calculate_resistivity_ratio( 'positive', 2e-2 )\n", " c_o.solve_MS_approx_for_phi( valence[0] )\n", " " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "perpendicular grain boundary resistivity = 221085.07428299036\n", "parallel grain boundary resistivity = 0.009633399877566827\n", "space charge potential = 0.33515924784363865\n", "Mott-Schottky approximated space charge potential = 0.524894754750353\n" ] } ], "source": [ "plt.plot(grid.x, c_o.phi)\n", "plt.xlabel( '$x$ $\\mathrm{coordinate}$' )\n", "plt.ylabel('$\\Phi$ $\\mathrm{( eV )}$')\n", "plt.show()\n", "\n", "plt.plot(grid.x, c_o.rho)\n", "plt.xlabel( '$x$ $\\mathrm{coordinate}$' )\n", "plt.ylabel(' $\\mathrm{charge density}$ $(\\mathrm{C m}^{-1})$')\n", "plt.show()\n", "\n", "plt.plot(grid.x, c_o.mf[site_labels[0]], label = '$\\mathrm{Vo}$')\n", "plt.plot(grid.x, c_o.mf[site_labels[1]], label = '$\\mathrm{Gd}$')\n", "plt.xlabel( '$x$ $\\mathrm{coordinate}$' )\n", "plt.ylabel('$x_{i}$')\n", "plt.legend()\n", "plt.show()\n", "\n", "print('perpendicular grain boundary resistivity = ', c_o.perpendicular_resistivity_ratio)\n", "print('parallel grain boundary resistivity = ', c_o.parallel_resistivity_ratio)\n", "print('space charge potential = ', max(c_o.phi))\n", "print('Mott-Schottky approximated space charge potential = ', c_o.ms_phi)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }