{ "metadata": { "name": "", "signature": "sha256:847760a426043661ea4fde78a2bf1fd6643e29c13d0f4127a68384ff06179cfd" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "\n", "In this notebook, we will use Python Materials Genomics (http://www.pymatgen.org), written by Professor Shyue Ping Ong, to data mine the Materials Project (https://www.materialsproject.org) for statistics on space groups. The Materials Project is a large database containing computed data on all inorganic materials. Unlike other large databases, the Materials Project employs a structure matching algorithm to perform duplicate structure filtering. This allows for a more robust statistical analysis." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Note that this notebook does require a number of dependencies. \n", "# pytmatgen is used for the high-level interface to the Materials Project.\n", "# The excellent prettyplotlib is used to make nice plots.\n", "# prettytable is used to make nice ASCII tables.\n", "from pymatgen import MPRester, Composition\n", "import prettyplotlib as ppl\n", "import brewer2mpl\n", "import matplotlib.pyplot as plt\n", "from pymatgen.util.plotting_utils import get_publication_quality_plot\n", "import numpy as np\n", "from prettytable import PrettyTable\n", "from symmetry.groups import sg_symbol_from_int_number\n", "\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us use pymatgen's MPRester to query for all formulas and spacegroup information using the Materials Project's RESTful API." ] }, { "cell_type": "code", "collapsed": false, "input": [ "m = MPRester()\n", "data = m.mpquery({}, [\"pretty_formula\", \"spacegroup.number\"])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Distribution of Space Groups\n", "\n", "We will now perform a simple histogram analysis of the distribution of space groups." ] }, { "cell_type": "code", "collapsed": false, "input": [ "sgnums = [d[\"spacegroup.number\"] for d in data]\n", "n, bins = np.histogram(sgnums, bins=np.arange(0.5, 231.5, 1), normed=True)\n", "crystal_systems = [(2, \"Triclinic\"), (15, \"Monoclinic\"), (74, \"Orthorhombic\"),\n", " (142, \"Tetragonal\"), (167, \"Trigonal\"), (194, \"Hexagonal\"), (230, \"Cubic\")]\n", "colors = brewer2mpl.get_map('Set1', 'qualitative', len(crystal_systems)).mpl_colors\n", "start = 0\n", "for i, (v, label) in enumerate(crystal_systems):\n", " ppl.bar(np.arange(start + 0.5, v + 0.5, 1), n[start:v] * 100, width=1, label=label, color=colors[i])\n", " start = v\n", "plt.xlim([0, 231])\n", "plt = get_publication_quality_plot(12, 8, plt)\n", "plt.legend([c[1] for c in crystal_systems])\n", "l = plt.xlabel(\"Int. Space Group No.\")\n", "l = plt.ylabel(\"% of Compounds\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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SoIVLx4wZQ1RUFAsWLGDSpElMnTqVHTt2sGPHjhzXtr8mNTWVkJAQBgwYUCRe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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Most and least common Space Groups\n", "\n", "Let's get the most common and least common spacegroups." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def make_plot(hist_data):\n", " labels = []\n", " y = []\n", " for i in sorted(range(1, 231), key=lambda i: hist_data[i - 1], reverse=True)[0:20]:\n", " labels.append(\"%d - %s\" % (i, sg_symbol_from_int_number(i)))\n", " y.append(hist_data[i - 1] * 100)\n", " labels.reverse()\n", " y.reverse()\n", " ppl.barh(range(20), y, height=1, annotate=True, grid='x', color=colors[1])\n", " global plt\n", " plt = get_publication_quality_plot(12, 8, plt)\n", " plt.yticks(np.arange(20) + 0.5, labels, fontsize=16)\n", " plt.xticks(fontsize=16)\n", " plt.xlabel(\"% of compounds\", fontsize=16)\n", " plt.title('Most common space groups', fontsize=16)\n", " \n", "n, bins = np.histogram(sgnums, bins=np.arange(0.5, 231.5, 1), normed=True)\n", "make_plot(n)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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oaWkpenp6iv/73/+eez2lTp48KXbq1EnU09MTbWxsxC+++EKcOHGiaGpqqlRPEARx1qxZ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\nDAbzhAkTCjsksZEjR46YixUrZ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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare the results above with the tables provided in \"Properties of Materials: Anisotropy, Symmetry, Structure\" by Robert E. Newnham." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# More advanced analysis\n", "\n", "Let us now go beyond just simple histogrammic analysis and look at the statistics for specific chemistries. For example, we can ask the question - does oxides, sulfides, fluorides and chlorides prefer different space groups? Let us first group the data by the most electronegative element - a proxy of whether it is an oxide, fluoride, etc." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def get_chemistry(d):\n", " anion = sorted(Composition(d[\"pretty_formula\"]).keys(), key=lambda el: el.X)[-1].symbol\n", " if anion == \"O\":\n", " return \"Oxide\"\n", " if anion == \"S\":\n", " return \"Sulfide\"\n", " elif anion == \"F\":\n", " return \"Fluoride\"\n", " elif anion == \"Cl\":\n", " return \"Chloride\"\n", " return \"Others\"\n", "\n", "import itertools\n", "sdata = sorted(data, key=get_chemistry)\n", "grouped_data = {chem: list(d) for chem, d in itertools.groupby(sdata, key=get_chemistry)}" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "def make_plots(chemistry):\n", " sgnums = [d[\"spacegroup.number\"] for d in grouped_data[chemistry]]\n", " hist, bins = np.histogram(sgnums, bins=np.arange(0.5, 231.5, 1), normed=True)\n", " make_plot(hist)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Space Group Distribution in Oxides" ] }, { "cell_type": "code", "collapsed": false, "input": [ "make_plots(\"Oxide\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Zyp0ZIqpfTFJeUGlpKd5++20kJyfjxx9/lJYHro7anrNS3eSIiIjoZWJvb4/J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\nI0eifv36MDExgY+PD7Kzs0v0E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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**We can see that oxides have an even higher prevalence of the monoclinic $P12_1/c1$ and triclinc $P\\overline{1}$ space groups, compared to the overall distribution for all compounds.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Space Group Distribution in Sulfides" ] }, { "cell_type": "code", "collapsed": false, "input": [ "make_plots(\"Sulfide\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ERETQp08frezWrVsA1KpVq0TOKYQQQgjxNLOyssLU1JQHDx6QmZlJWloa1apV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uHo6MigQYOyJC6RjHB3d8fFxYWCBQtSsGBBvL29OXz4MBUrVqR06dLAvWllQUFB7N+/H29vb5ut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\nzsaNG2nbtq31iw8HBwdmz55Nx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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**The distribution for sulfides is quite different. Now, the orthorhombic $Pnma$ is the most prevalent. In general, it seems that sulfides tend to have higher-symmetry structures that oxides (space group numbers are generally larger).**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Space Group Distribution in Fluorides" ] }, { "cell_type": "code", "collapsed": false, "input": [ "make_plots(\"Fluoride\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZTLCwsBA8PT2F//73v9VeT4XTp08LPXr0EHR0dAQbGxvhiy++ED7++GPB2NhYqZ5EIhHm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\nK1fmv//9Lw8fPtRr379/P2XKl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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Again, we see that fluorides seem to have a similar distribution as the oxides, with a higher than average prevalence of the monoclinic $P12_1/c1$ and triclinc $P\\overline{1}$ space groups.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Space Group Distribution in Chlorides" ] }, { "cell_type": "code", "collapsed": false, "input": [ "make_plots(\"Chloride\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ERUVhbm6u1fHx8dGSF4AGDRoAcPbsWaO+bGxstOQFoG7dugC0b99eS1RyyjMz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\nXF1dERkZiY8++ggAsHnzZhQUFAAAEhISU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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Though not as stark as the comparison between oxides and sulfides, we also observe that chlorides tend to have higher prevalence of high-symmetry spacegroups than fluorides.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Conclusion\n", "\n", "In this notebook, we have done some basic analysis of prevalence of space groups in inorganic crystals in the Materials Project and detailed analysis for some common chemistries. We find that sulfides tend to have higher prevalence of high-symmetry space groups compared to oxides, and a similar trend is observed chlorides versus fluorides. Though we cannot make firm conclusions based on just these few data points, it does suggest that larger anion sizes lead to higher-symmetry crystals." ] } ], "metadata": {} } ] }