{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Phase Diagram\n", "In this example, we will generate a 1D and 2D phase diagram for a CO/Pt(111) system.\n", "\n", "## Topics Covered\n", "- Create ``StatMech`` objects \n", "- Initialize ``Reaction`` objects to describe the formation reaction of CO/Pt(111) species\n", "- Generate a 1D phase diagram by varying T\n", "- Generate a 2D phase diagram by varying T and P\n", "- Save the ``PhaseDiagram`` object as a ``JSON`` file" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create Species for Phase Diagram\n", "We will be considering six CO/Pt(111) configurations. The configurations have CO adsorbed in different sites and different coverages.\n", "\n", "\n", "\n", "First, we initialize the species as a dictionary to enable easy `Reaction` initialization." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [], "source": [ "from ase.build import molecule\n", "\n", "from pmutt.statmech import StatMech, presets\n", "\n", "species = {\n", " 'CO': StatMech(name='CO', atoms=molecule('CO'),\n", " potentialenergy=-14.8021,\n", " vib_wavenumbers=[2121.2], symmetrynumber=1, \n", " **presets['idealgas']),\n", " 'Pt': StatMech(name='Pt', potentialenergy=-383.161235,\n", " **presets['electronic']),\n", " 'CO(S) 1/16ML fcc': StatMech(\n", " name='CO(S) 1/16ML fcc', potentialenergy=-399.48282843,\n", " vib_wavenumbers=[1731.942697, 349.970617, 322.15111,\n", " 319.114152, 161.45669],\n", " **presets['harmonic']),\n", " 'CO(S) 1/16ML br': StatMech(\n", " name='CO(S) 1/16ML br', potentialenergy=-399.464095,\n", " vib_wavenumbers=[1831.626557, 394.436054, 388.098645,\n", " 373.063005, 203.887416, 52.987012],\n", " **presets['harmonic']),\n", " 'CO(S) 1/16ML top': StatMech(\n", " name='CO(S) 1/16ML top', potentialenergy=-399.39545350,\n", " vib_wavenumbers=[2045.797559, 489.514815, 396.498284,\n", " 393.395406, 56.058884, 52.157548],\n", " **presets['harmonic']),\n", " 'CO(S) 1/8ML': StatMech(\n", " name='CO(S) 1/8ML', potentialenergy=-415.67626828,\n", " vib_wavenumbers=[2047.452988, 1730.209946, 482.24755,\n", " 394.675312, 392.79586, 354.078848,\n", " 323.143303, 320.375056, 162.356233,\n", " 158.239412, 60.269377, 51.362263],\n", " **presets['harmonic']),\n", " 'CO(S) 3/16ML': StatMech(\n", " name='CO(S) 3/16ML', potentialenergy=-431.867618,\n", " vib_wavenumbers=[2049.767728, 1746.427506, 1733.474666,\n", " 478.755939, 391.899407, 389.661616,\n", " 354.568306, 352.532192, 325.154407,\n", " 322.578758, 319.593333, 315.883097,\n", " 163.2316, 162.672434, 158.815096,\n", " 157.87804, 59.576319, 50.284495],\n", " **presets['harmonic']),\n", " 'CO(S) 1/2ML': StatMech(\n", " name='CO(S) 1/2ML', potentialenergy=-512.817507,\n", " vib_wavenumbers=[2072.099888, 2053.332551, 2052.632444,\n", " 2052.501762, 1835.620624, 1824.088854,\n", " 1823.712945, 1823.531493, 481.148383,\n", " 480.426246, 480.187182, 479.70589, \n", " 414.42128, 411.357815, 411.091615,\n", " 406.851876, 404.128284, 403.391877, \n", " 402.879585, 401.452804, 401.134231,\n", " 397.539281, 394.569066, 394.101234,\n", " 393.933956, 390.740547, 390.173637,\n", " 389.805187, 388.420025, 387.427067,\n", " 383.620218, 383.348263, 201.654999,\n", " 200.123762, 196.698042, 195.736534, \n", " 75.269065, 72.94012, 70.402739,\n", " 68.651958, 65.289743, 64.556735,\n", " 63.904694, 60.051442, 58.698334,\n", " 55.589005, 52.608038, 43.883525],\n", " **presets['harmonic']),\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create Reactions for Phase Diagram\n", "The reactions will be initialized and put in a list. Notice that the stoichiometric coefficient of CO changes for higher coverages. If you are unfamiliar with initializing reactions, see the Reactions example." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from pmutt.reaction import Reaction\n", "\n", "reactions=[\n", " Reaction.from_string('Pt = Pt', species), # Clean surface\n", " Reaction.from_string('Pt + CO = CO(S) 1/16ML fcc', species),\n", " Reaction.from_string('Pt + CO = CO(S) 1/16ML br', species),\n", " Reaction.from_string('Pt + CO = CO(S) 1/16ML top', species),\n", " Reaction.from_string('Pt + 2CO = CO(S) 1/8ML', species),\n", " Reaction.from_string('Pt + 3CO = CO(S) 3/16ML', species),\n", " Reaction.from_string('Pt + 8CO = CO(S) 1/2ML', species)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create PhaseDiagram Object\n", "Now we have everything we need to create the ``PhaseDiagram`` object." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from pmutt.reaction.phasediagram import PhaseDiagram\n", "\n", "phase_diagram = PhaseDiagram(reactions=reactions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating a 1D Phase Diagram" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "T = np.linspace(300, 1000, 200) # K\n", "fig1, ax1 = phase_diagram.plot_1D(x_name='T', x_values=T, P=1., G_units='kJ/mol')\n", "\n", "'''Plotting adjustments'''\n", "# Set colors to lines\n", "colors = ('#000080', '#0029FF', '#00D5FF', '#7AFF7D', \n", " '#FFE600', '#FF4A00', '#800000')\n", "for color, line in zip(colors, ax1.get_lines()):\n", " line.set_color(color)\n", "\n", "# Set labels to lines\n", "labels = ('0 ML', '1/16 ML (fcc)', '1/16 ML (bridge)', \n", " '1/16 ML (top)', '1/8 ML', '3/16 ML', '1/2 ML')\n", "handles, _ = ax1.get_legend_handles_labels()\n", "ax1.get_legend().remove()\n", "ax1.legend(handles[::-1], labels[::-1], loc=0,\n", " title='CO/Pt Configuration')\n", "ax1.set_xlabel('Temperature (K)')\n", "\n", "fig1.set_dpi(150.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating a 2D Phase Diagram" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generate Pressure range\n", "T = np.linspace(300, 1000) # K\n", "P = np.logspace(-3, 0) # bar\n", "\n", "fig2, ax2, c2, cbar2 = phase_diagram.plot_2D(x1_name='T', x1_values=T, \n", " x2_name='P', x2_values=P)\n", "\n", "'''Plotting adjustments'''\n", "# Change y axis to use log scale\n", "ax2.set_yscale('log')\n", "# Add axis labels\n", "ax2.set_xlabel('Temperature (K)')\n", "ax2.set_ylabel('CO Pressure (bar)')\n", "# Change color scheme\n", "plt.set_cmap('jet')\n", "# Add labels\n", "cbar2.ax.set_yticklabels(labels)\n", "\n", "fig2.set_dpi(150.)\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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }