{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook shows some examples of methods on a BandStructureSymmLine object (gettting band gaps, vbm, etc...) and basic plotting. Written by Geoffroy Hautier (geoffroy.hautier@uclouvain.be)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start by querying the MP database for a band structure object. Please note that you could get such an object from a run (VASP, ABINIT, ...) using the methods in pymatgen.io\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [], "source": [ "from pymatgen.matproj.rest import MPRester\n", "from pymatgen.electronic_structure.core import Spin\n", "#This initiliazes the Rest connection to the Materials Project db. Put your own API key if needed.\n", "a = MPRester()\n", "#load the band structure from mp-3748, CuAlO2 from the MP db\n", "bs = a.get_bandstructure_by_material_id(\"mp-3748\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We print some information about the band structure" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n", "{'energy': 1.7978000000000005, 'direct': False, 'transition': '(0.591,0.409,0.000)-\\\\Gamma'}\n", "18.0201\n", "2.6904\n", "{'energy': 6.1023, 'kpoint': , 'projections': {}, 'kpoint_index': [123], 'band_index': defaultdict(, {: [15]})}\n" ] } ], "source": [ "#is the material a metal (i.e., the fermi level cross a band)\n", "print(bs.is_metal())\n", "#print information on the band gap\n", "print(bs.get_band_gap())\n", "#print the energy of the 20th band and 10th kpoint\n", "print(bs.bands[Spin.up][20][10])\n", "#print energy of direct band gap\n", "print(bs.get_direct_band_gap())\n", "#print information on the vbm\n", "print(bs.get_vbm())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we plot the bs object. By default for an insulator we have en energy limit of cbm+4eV and vbm-4 eV" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rJADSonp1O+o/bpz0/POu00QHilIA4MDMmVLGjFLdum5zxMXZbJ8NG9zmQPRp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\naj0AAKHsqqusr1RhoXT//U5Xg23V1Unnn2+DXk88YX0qAQB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/3vvyJnzoicO8cxJobj5s1sDEQ454oVyV737g1ppaBgjTCZmK/CwkRWrcLgXEFBwbbQuDHrzWef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/2bMzQdW+PfD11wZ9SoIgqIidHZNDmTIZ5v6fPQPmz6cJe1gYF+fBwUDt2m8bkx8/zqSUGJYL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\nAlNPP41WDJQYnJoQZYCpU0UWLEB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jIxH8jpYuRTBq9Wr0+Jqo1O2449AX8Be/wO6Pl102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\nRERERERECcegFBERERERERERJdz/B+4ag007CJjcAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from pymatgen.electronic_structure.plotter import BSPlotter\n", "plotter = BSPlotter(bs)\n", "plotter.get_plot().show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot the Brillouin zone with the path which was used for the band structure" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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XIqH2wrZt2/Dcc8/Bx8cHHh4evG97V1dXvPHGG9i9ezcOHz7Ma2yGRLGk+0TsMh3DSk6d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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotter.plot_brillouin()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }