{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example 1 - continuum vs. site explicit and boundary conditions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Running the code in this notebook takes approximately 81 minutes ( example 1: 21 minutes, example 2: 13 minutes, example 3: 23 minutes, example 4: 24 minutes). (iMac with 4 Ghz i7 processor).**\n", "\n", "This is due to the Poisson-Boltzmann solver being run multiple times to minimise the difference between input and output mole fractions." ] }, { "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 = 'dirichlet'\n", "site_charges = False\n", "systems = 'gouy-chapman'\n", "core_models = False\n", "site_models = 'continuum'" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "alpha = 0.0005\n", "\n", "conv = 1e-8\n", "grid_x_min = -2.0e-8\n", "grid_x_max = +2.0e-8\n", "bulk_x_min = -2.0e-8\n", "bulk_x_max = -1.0e-8\n", "\n", "dielectric = 1\n", "\n", "index = 111\n", "\n", "b = 5e-9\n", "c = 5e-9\n", "\n", "temp = [773.15]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "valence = [ +1.0, -1.0 ]\n", "site_labels = ['site_1', 'site_2']\n", "defect_labels = ['defect_1', 'defect_2']\n", "mole_fractions = [ [ 0.2, 0.2 ] ]\n", "initial_guess = [ [ 0.2, 0.2 ] ]\n", "mobilities = [1.0, 1.0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Example 1**\n", "\n", "```\n", "boundary_conditions = dirichlet\n", "site_models = continuum\n", "```\n", "\n", "The data used for this first example has a series of sites which have $x$ coordinates on a regularly spaced grid (-50 nm to +50 nm with 1 nm spacings). Each site has one positively charged defect (defect_one) and one negatively charged defect (defect_2). These defects are equal and opposite in their valence and therefore the system is charge neutral. For simplicity, all of the defects have a segregation energy of zero, except the central positively charged defect which has a segregation energy of -1.0 eV. As there are positively charged defects and negatively charged defects at each site the model is treated as a continuum model where any defect can occupy any site. This is particularly clear when the data is plotted and the potential, charge denisty and defect mole fraction profiles are smooth.\n", "In this example, Dirichlet boundary conditions are enforced. This ensures the potential at the boundary sites is set to 0.0." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "data = '../input_data/example_data_2_one_seg_energies.txt'" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--- 1224.5566351413727 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( 'site_2' ):\n", " site.defect_with_label('defect_2').fixed = True\n", " if systems == 'gouy-chapman':\n", " for site in all_sites.subset( 'site_2' ):\n", " site.defect_with_label('defect_2').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', 1e-3 )" ] }, { "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" } ], "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[1]], label = '$\\mathrm{defect_1}$')\n", "plt.plot(grid.x, c_o.mf[site_labels[0]], label = '$\\mathrm{defect_2}$')\n", "plt.xlabel( '$x$ $\\mathrm{coordinate}$' )\n", "plt.ylabel('$x_{i}$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Example 2**\n", "\n", "```\n", "boundary_conditions = dirichlet\n", "site_models = site_explicit\n", "```\n", "\n", "The next example also has a series of sites with $x$ coordinates on a regularly spaced grid (-50 nm to +50 nm with 1 nm spacings), however defects are specific to their sites. In this example, there is a site with two positively charged defects, followed by two sites which each have one negatively charged defects. This system almost simulates a system such as gadolinium doped ceria which has a +2 defect followed by two -1 defects, however using two defects which are equal but opposite in their valence. The concentration and positively and negatively charged defects are equal and therefore the system is charge neutral. In this case all of the sites have a segregation energy of zero which demonstrates how the defects would be arranged in the bulk structure and how this affects the potential.\n", "\n", "In this example, Dirichlet boundary conditions are enforced which ensures the potential at the boundary sites is 0.0." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "data_1 = '../input_data/example_data_3_alternate_sites.txt'" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--- 770.5673627853394 seconds ---\n" ] } ], "source": [ "site_models = 'site_explicit'\n", "\n", "limits, laplacian_limits = calculate_grid_offsets( data_1, 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_1, [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( 'site_2' ):\n", " site.defect_with_label('defect_2').fixed = True\n", " if systems == 'gouy-chapman':\n", " for site in all_sites.subset( 'site_2' ):\n", " site.defect_with_label('defect_2').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()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "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[1]], label = '$\\mathrm{defect_1}$')\n", "plt.plot(grid.x, c_o.mf[site_labels[0]], label = '$\\mathrm{defect_2}$')\n", "plt.xlabel( '$x$ $\\mathrm{coordinate}$' )\n", "plt.ylabel('$x_{i}$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Example 3**\n", "\n", "```\n", "boundary_conditions = periodic\n", "site_models = site_explicit\n", "```\n", "\n", "When using Dirichlet boundary conditions the potential at the boundary sites is fixed to 0.0. It can be seen from the figure above showing the potential against the $x$ coordinate, with this example using data which depicts alternating sites, the potential profile curves. This happens because no matter what the potential is calculated to be, the potential is forced to zero at the boundaries. In this example, the boundary sites are occupied by negatively charged defects and therefore these sites should have a slightly negative potential. The Dirichlet boundary conditions force these sites to have a potential of zero and therefore the potential profile curves. The change in the potential profile effects the charge density, causing the system to become negatively charged, losing charge neutrality. \n", "\n", "To prevent this from happening periodic boundary conditions can be enforced. Periodic boundary conditions consider the region of data as a unit cell with the final site equivalent to the initial site but not fixed to any particular value." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--- 1379.4808077812195 seconds ---\n" ] } ], "source": [ "boundary_conditions = 'periodic'\n", "\n", "limits, laplacian_limits = calculate_grid_offsets( data_1, 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_1, [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( 'site_2' ):\n", " site.defect_with_label('defect_2').fixed = True\n", " if systems == 'gouy-chapman':\n", " for site in all_sites.subset( 'site_2' ):\n", " site.defect_with_label('defect_2').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()" ] }, { "cell_type": "code", "execution_count": 12, "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" } ], "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[1]], label = '$\\mathrm{defect_1}$')\n", "plt.plot(grid.x, c_o.mf[site_labels[0]], label = '$\\mathrm{defect_2}$')\n", "plt.xlabel( '$x$ $\\mathrm{coordinate}$' )\n", "plt.ylabel('$x_{i}$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Example 4**\n", "\n", "As shown above, when the periodic boundary conditions are used, the average charge across the system is 0.0 and the boundary potential is no longer being forced to 0.0 but is calculated along with the other sites using the Poisson-Boltzmann solver. \n", "The periodic boundary conditions can also be used with a system similar to the first example, where the central defect has a segregation energy of -1.0 eV but where the defects are specific to their sites." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "data_2 = '../input_data/example_data_4_alternate_sites_one_defect.txt' " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--- 1409.6890168190002 seconds ---\n" ] } ], "source": [ "boundary_conditions = 'periodic'\n", "\n", "limits, laplacian_limits = calculate_grid_offsets( data_2, 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_2, [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( 'site_2' ):\n", " site.defect_with_label('defect_2').fixed = True\n", " if systems == 'gouy-chapman':\n", " for site in all_sites.subset( 'site_2' ):\n", " site.defect_with_label('defect_2').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()" ] }, { "cell_type": "code", "execution_count": 15, "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" } ], "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[1]], label = '$\\mathrm{defect_1}$')\n", "plt.plot(grid.x, c_o.mf[site_labels[0]], label = '$\\mathrm{defect_2}$')\n", "plt.xlabel( '$x$ $\\mathrm{coordinate}$' )\n", "plt.ylabel('$x_{i}$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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 }