{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Import element information from pymatgen" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Uncomment the subsequent lines in this cell to install dependencies for Google Colab.\n", "# !pip install pymatgen==2022.7.19" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from pymatgen.core import Element\n", "\n", "symbol = \"Fe\"\n", "el = Element(symbol)\n", "elec_structure = el.full_electronic_structure" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting the electronic structure" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ec1RCrBYVToSUPXcAoUqlrDME6GAyMc4NG/npW4bWsWvcNAB+AV4QCq3vSDZSuPRnObh2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G5oYcgKubDYb6diA7znc9uh+Hm1dfYMU6P0puNSaRSBEcsJ1bWlI1FkAG2XmoUjgRIpG4NDOj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\nPVyMQweKkJdT0vGZmpmG6bPSED+MPlPfhNvlxa9/ucm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "from matplotlib.pyplot import figure, grid, rc, show\n", "\n", "rc(\"grid\", color=\"#316931\", linewidth=0, linestyle=\"-\")\n", "rc(\"xtick\", labelsize=15)\n", "rc(\"ytick\", labelsize=15)\n", "import numpy as np\n", "\n", "# make a square figure\n", "fig = figure(figsize=(10, 10))\n", "ax = fig.add_axes([0.1, 0.1, 0.8, 0.8], polar=True, axisbg=\"#d5de9c\")\n", "\n", "rticks = []\n", "rlabels = []\n", "for i, shell in enumerate(elec_structure):\n", " # Draw the shell\n", " r = 0.5 * (i + 1)\n", " rad = [r] * 1000\n", " theta = [2 * np.pi * j / 1000 for j in xrange(1000)]\n", " ax.plot(theta, rad, \"k-\", lw=1)\n", " # Draw the electrons\n", " rad = [r] * shell[2]\n", " theta = [2 * np.pi * j / shell[2] for j in xrange(shell[2])]\n", " ax.plot(theta, rad, \"o\", markersize=15)\n", " rticks.append(r)\n", " rlabels.append(f\"{shell[0]}{shell[1]}\")\n", "\n", "ax.set_rmax(r + 0.5)\n", "\n", "ax.set_thetagrids([0, 90, 180, 270], [\"\"] * 4, color=\"k\")\n", "ax.set_rgrids(rticks, rlabels)\n", "ax.set_title(f\"Electronic structure of {symbol}\", fontsize=20)\n", "grid(True)\n", "show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 1 }