{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Back to the main [Index](index.ipynb) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FATBANDS.nc file" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `FATBANDS.nc` file contains the projection of the KS wavefunctions onto atom-centered\n", "functions with given angular momentum $l$. \n", "The file is generated by using the `prtdos` variable either in a SCF or NSCF run.\n", "One can use the `abiopen` function provided by `abilab` to open the file and generate an instance of `FatbandsFile`.\n", "Alternatively, use the `abiopen.py` script to open the file inside the shell with the syntax:\n", "\n", " abiopen.py out_FATBANDS.nc \n", " \n", "This command will start the ipython interpreter so that one can interact directly \n", "with the `FatbandFile` object (named `abifile` inside ipython).\n", "To generate a jupyter notebook use:\n", "\n", " abiopen.py out_FATBANDS.nc -nb\n", " \n", "For a quick visualization of the data, use:\n", "\n", " abiopen.py out_FATBANDS.nc -e" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Use this at the beginning of your script so that your code will be compatible with python3\n", "from __future__ import print_function, division, unicode_literals\n", "\n", "import warnings \n", "warnings.filterwarnings(\"ignore\") # Ignore warnings\n", "\n", "from abipy import abilab\n", "abilab.enable_notebook() # This line tells AbiPy we are running inside a notebook\n", "import abipy.data as abidata\n", "\n", "# This line configures matplotlib to show figures embedded in the notebook.\n", "# Replace `inline` with `notebook` in classic notebook\n", "%matplotlib inline \n", "\n", "# Option available in jupyterlab. See https://github.com/matplotlib/jupyter-matplotlib\n", "#%matplotlib widget " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# This fatbands file has been produced on a k-path so it is not suitable for DOS calculations.\n", "fbnc_kpath = abilab.abiopen(abidata.ref_file(\"mgb2_kpath_FATBANDS.nc\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To print file info i.e., dimensions, variables, etc.\n", "(note that prtdos = 3, so LM decomposition is not available)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "================================= File Info =================================\n", "Name: mgb2_kpath_FATBANDS.nc\n", "Directory: /Users/gmatteo/git_repos/abipy/abipy/data/refs/mgb2_fatbands\n", "Size: 149.01 kb\n", "Access Time: Tue Oct 15 00:43:34 2019\n", "Modification Time: Wed Mar 20 16:53:35 2019\n", "Change Time: Wed Mar 20 16:53:35 2019\n", "\n", "================================= Structure =================================\n", "Full Formula (Mg1 B2)\n", "Reduced Formula: MgB2\n", "abc : 3.086000 3.086000 3.523000\n", "angles: 90.000000 90.000000 120.000000\n", "Sites (3)\n", " # SP a b c\n", "--- ---- -------- -------- ---\n", " 0 Mg 0 0 0\n", " 1 B 0.333333 0.666667 0.5\n", " 2 B 0.666667 0.333333 0.5\n", "\n", "Abinit Spacegroup: spgid: 191, num_spatial_symmetries: 24, has_timerev: True, symmorphic: False\n", "\n", "============================== Electronic Bands ==============================\n", "================================= Structure =================================\n", "Full Formula (Mg1 B2)\n", "Reduced Formula: MgB2\n", "abc : 3.086000 3.086000 3.523000\n", "angles: 90.000000 90.000000 120.000000\n", "Sites (3)\n", " # SP a b c\n", "--- ---- -------- -------- ---\n", " 0 Mg 0 0 0\n", " 1 B 0.333333 0.666667 0.5\n", " 2 B 0.666667 0.333333 0.5\n", "\n", "Abinit Spacegroup: spgid: 191, num_spatial_symmetries: 24, has_timerev: True, symmorphic: False\n", "\n", "Number of electrons: 8.0, Fermi level: 6.851 (eV)\n", "nsppol: 1, nkpt: 78, mband: 8, nspinor: 1, nspden: 1\n", "smearing scheme: none, tsmear_eV: 0.272, occopt: 1\n", "Direct gap:\n", " Energy: 0.312 (eV)\n", " Initial state: spin=0, kpt=[+0.050, +0.050, +0.000], weight: 0.000, band=2, eig=6.621, occ=2.000\n", " Final state: spin=0, kpt=[+0.050, +0.050, +0.000], weight: 0.000, band=3, eig=6.933, occ=2.000\n", "Fundamental gap:\n", " Energy: 0.038 (eV)\n", " Initial state: spin=0, kpt=[+0.441, +0.000, +0.000], weight: 0.000, band=3, eig=6.822, occ=2.000\n", " Final state: spin=0, kpt=[+0.147, +0.000, +0.500], weight: 0.000, band=3, eig=6.860, occ=2.000\n", "Bandwidth: 12.435 (eV)\n", "Valence maximum located at:\n", " spin=0, kpt=[+0.441, +0.000, +0.000], weight: 0.000, band=3, eig=6.822, occ=2.000\n", "Conduction minimum located at:\n", " spin=0, kpt=[+0.147, +0.000, +0.500], weight: 0.000, band=3, eig=6.860, occ=2.000\n", "\n", "\n", "=============================== Fatbands Info ===============================\n", "prtdos: 3, prtdosm: 0, mbesslang: 5, pawprtdos: 0, usepaw: 0\n", "nsppol: 1, nkpt: 78, mband: 8\n", "\n", " Idx Symbol Reduced_Coords Lmax Ratsph [Bohr] Has_Atom\n", "----- -------- ----------------------- ------ --------------- ----------\n", " 0 Mg 0.00000 0.00000 0.00000 4 2 Yes\n", " 1 B 0.33333 0.66667 0.50000 4 2 Yes\n", " 2 B 0.66667 0.33333 0.50000 4 2 Yes\n" ] } ], "source": [ "print(fbnc_kpath)" ] }, { "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": [ "fbnc_kpath.structure.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the k-points belonging to the path:" ] }, { "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": [ "fbnc_kpath.ebands.kpoints.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the electronic fatbands grouped by atomic type:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fbnc_kpath.plot_fatbands_typeview(tight_layout=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the electronic fatbands grouped by $l$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fbnc_kpath.plot_fatbands_lview(tight_layout=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we read another FATBANDS.nc file produced on 18x18x18 k-mesh" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "================================= File Info =================================\n", "Name: mgb2_kpath_FATBANDS.nc\n", "Directory: /Users/gmatteo/git_repos/abipy/abipy/data/refs/mgb2_fatbands\n", "Size: 149.01 kb\n", "Access Time: Tue Oct 15 00:43:37 2019\n", "Modification Time: Wed Mar 20 16:53:35 2019\n", "Change Time: Wed Mar 20 16:53:35 2019\n", "\n", "================================= Structure =================================\n", "Full Formula (Mg1 B2)\n", "Reduced Formula: MgB2\n", "abc : 3.086000 3.086000 3.523000\n", "angles: 90.000000 90.000000 120.000000\n", "Sites (3)\n", " # SP a b c\n", "--- ---- -------- -------- ---\n", " 0 Mg 0 0 0\n", " 1 B 0.333333 0.666667 0.5\n", " 2 B 0.666667 0.333333 0.5\n", "\n", "Abinit Spacegroup: spgid: 191, num_spatial_symmetries: 24, has_timerev: True, symmorphic: False\n", "\n", "============================== Electronic Bands ==============================\n", "================================= Structure =================================\n", "Full Formula (Mg1 B2)\n", "Reduced Formula: MgB2\n", "abc : 3.086000 3.086000 3.523000\n", "angles: 90.000000 90.000000 120.000000\n", "Sites (3)\n", " # SP a b c\n", "--- ---- -------- -------- ---\n", " 0 Mg 0 0 0\n", " 1 B 0.333333 0.666667 0.5\n", " 2 B 0.666667 0.333333 0.5\n", "\n", "Abinit Spacegroup: spgid: 191, num_spatial_symmetries: 24, has_timerev: True, symmorphic: False\n", "\n", "Number of electrons: 8.0, Fermi level: 6.851 (eV)\n", "nsppol: 1, nkpt: 78, mband: 8, nspinor: 1, nspden: 1\n", "smearing scheme: none, tsmear_eV: 0.272, occopt: 1\n", "Direct gap:\n", " Energy: 0.312 (eV)\n", " Initial state: spin=0, kpt=[+0.050, +0.050, +0.000], weight: 0.000, band=2, eig=6.621, occ=2.000\n", " Final state: spin=0, kpt=[+0.050, +0.050, +0.000], weight: 0.000, band=3, eig=6.933, occ=2.000\n", "Fundamental gap:\n", " Energy: 0.038 (eV)\n", " Initial state: spin=0, kpt=[+0.441, +0.000, +0.000], weight: 0.000, band=3, eig=6.822, occ=2.000\n", " Final state: spin=0, kpt=[+0.147, +0.000, +0.500], weight: 0.000, band=3, eig=6.860, occ=2.000\n", "Bandwidth: 12.435 (eV)\n", "Valence maximum located at:\n", " spin=0, kpt=[+0.441, +0.000, +0.000], weight: 0.000, band=3, eig=6.822, occ=2.000\n", "Conduction minimum located at:\n", " spin=0, kpt=[+0.147, +0.000, +0.500], weight: 0.000, band=3, eig=6.860, occ=2.000\n", "\n", "\n", "=============================== Fatbands Info ===============================\n", "prtdos: 3, prtdosm: 0, mbesslang: 5, pawprtdos: 0, usepaw: 0\n", "nsppol: 1, nkpt: 78, mband: 8\n", "\n", " Idx Symbol Reduced_Coords Lmax Ratsph [Bohr] Has_Atom\n", "----- -------- ----------------------- ------ --------------- ----------\n", " 0 Mg 0.00000 0.00000 0.00000 4 2 Yes\n", " 1 B 0.33333 0.66667 0.50000 4 2 Yes\n", " 2 B 0.66667 0.33333 0.50000 4 2 Yes\n" ] } ], "source": [ "fbnc_kmesh = abilab.abiopen(abidata.ref_file(\"mgb2_kmesh181818_FATBANDS.nc\"))\n", "print(fbnc_kpath)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and plot the $l$-PJDOS grouped by atomic type:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fbnc_kmesh.plot_pjdos_typeview(tight_layout=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the L-PJDOS grouped by L:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fbnc_kmesh.plot_pjdos_lview(tight_layout=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we use the two netcdf files to produce plots with fatbands + PJDOSEs.\n", "The data for the DOS is taken from pjdosfile." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fbnc_kpath.plot_fatbands_with_pjdos(pjdosfile=fbnc_kmesh, view=\"type\", tight_layout=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "fatbands + PJDOS grouped by L:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fbnc_kpath.plot_fatbands_with_pjdos(pjdosfile=fbnc_kmesh, view=\"lview\", tight_layout=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Remember to close the files\n", "
" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "fbnc_kpath.close()\n", "fbnc_kmesh.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Back to the main [Index](index.ipynb)" ] } ], "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": "3.7.0" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 } }, "nbformat": 4, "nbformat_minor": 4 }