{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "%config InlineBackend.figure_format='retina'\n", "\n", "from figure_formatting import figure_formatting as ff\n", "\n", "ff.set_formatting()\n", "ff.set_palette(ff.tableauP)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculating radial distribution functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Radial distribution functions can be calculated from one or more `pymatgen` `Structure` objects by using the `vasppy.rdf.RadialDistributionFunction` class. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Lattice\n", " abc : 5.6402 5.6402 5.6402\n", " angles : 90.0 90.0 90.0\n", " volume : 179.42523043680802\n", " A : 5.6402 0.0 3.453626438275451e-16\n", " B : -3.453626438275451e-16 5.6402 3.453626438275451e-16\n", " C : 0.0 0.0 5.6402\n", " pbc : True True True" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a pymatgen Structure for NaCl\n", "from pymatgen.core import Structure, Lattice\n", "\n", "a = 5.6402 # NaCl lattice parameter\n", "lattice = Lattice.from_parameters(a, a, a, 90.0, 90.0, 90.0)\n", "lattice" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Structure Summary\n", "Lattice\n", " abc : 5.6402 5.6402 5.6402\n", " angles : 90.0 90.0 90.0\n", " volume : 179.42523043680802\n", " A : 5.6402 0.0 3.453626438275451e-16\n", " B : -3.453626438275451e-16 5.6402 3.453626438275451e-16\n", " C : 0.0 0.0 5.6402\n", " pbc : True True True\n", "PeriodicSite: Na (0.0000, 0.0000, 0.0000) [0.0000, 0.0000, 0.0000]\n", "PeriodicSite: Na (2.8201, 2.8201, 0.0000) [0.5000, 0.5000, 0.0000]\n", "PeriodicSite: Na (2.8201, 0.0000, 2.8201) [0.5000, 0.0000, 0.5000]\n", "PeriodicSite: Na (-0.0000, 2.8201, 2.8201) [0.0000, 0.5000, 0.5000]\n", "PeriodicSite: Cl (2.8201, 0.0000, 0.0000) [0.5000, 0.0000, 0.0000]\n", "PeriodicSite: Cl (-0.0000, 2.8201, 0.0000) [0.0000, 0.5000, 0.0000]\n", "PeriodicSite: Cl (0.0000, 0.0000, 2.8201) [0.0000, 0.0000, 0.5000]\n", "PeriodicSite: Cl (2.8201, 2.8201, 2.8201) [0.5000, 0.5000, 0.5000]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "structure = Structure.from_spacegroup(sg='Fm-3m', lattice=lattice,\n", " species=['Na', 'Cl'],\n", " coords=[[0,0,0], [0.5, 0, 0]])\n", "structure" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from vasppy.rdf import RadialDistributionFunction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default required arguments for creating a `RadialDistributionFunction` object are a list of `pymatgen` `Structure` objects, and the numerical indices of the atoms (or `Site` objects) that we want to compute the rdf between." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0, 1, 2, 3]\n", "[4, 5, 6, 7]\n" ] } ], "source": [ "indices_na = [i for i, site in enumerate(structure) if site.species_string == 'Na']\n", "indices_cl = [i for i, site in enumerate(structure) if site.species_string == 'Cl']\n", "print(indices_na)\n", "print(indices_cl)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "rdf_nana = RadialDistributionFunction(structures=[structure], \n", " indices_i=indices_na)\n", "rdf_clcl = RadialDistributionFunction(structures=[structure], \n", " indices_i=indices_cl)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To compute a rdf between different species, we need to pass both `indices_i` and `indices_j`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "rdf_nacl = RadialDistributionFunction(structures=[structure], \n", " indices_i=indices_na, indices_j=indices_cl)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 258, "width": 380 } }, "output_type": "display_data" } ], "source": [ "plt.plot(rdf_nana.r, rdf_nana.rdf, label='Na-Na')\n", "plt.plot(rdf_clcl.r, rdf_clcl.rdf, label='Cl-Cl')\n", "plt.plot(rdf_nacl.r, rdf_nacl.rdf, label='Na-Cl')\n", "plt.xlabel(r'$r$ / Å')\n", "plt.ylabel(r'$g(r)$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Na and Cl sublattices are equivalent, so the Na–Na and Cl–Cl rdfs sit on top of each other." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A smeared rdf can be produced using the `smeared_rdf()` method, which applies a Gaussian kernel to the raw rdf data. The `smeared_rdf()` method takes on optional argument `sigma`, which can be used to set the width of the Gaussian (default = 0.1)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 258, "width": 372 } }, "output_type": "display_data" } ], "source": [ "plt.plot(rdf_nana.r, rdf_nana.smeared_rdf(), label='Na-Na') # default smearing of 0.1\n", "plt.plot(rdf_clcl.r, rdf_clcl.smeared_rdf(sigma=0.050), label='Cl-Cl')\n", "plt.plot(rdf_nacl.r, rdf_nacl.smeared_rdf(sigma=0.2), label='Na-Cl')\n", "plt.xlabel(r'$r$ / Å')\n", "plt.ylabel(r'$g(r)$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Selecting atoms by their species strings\n", "\n", "Atom indices can also be selected by species string with the `RadialDistributionFunction.from_species_strings()` method:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "rdf_nana = RadialDistributionFunction.from_species_strings(structures=[structure], \n", " species_i='Na', species_j='Na')\n", "rdf_clcl = RadialDistributionFunction.from_species_strings(structures=[structure], \n", " species_i='Cl', species_j='Cl')\n", "rdf_nacl = RadialDistributionFunction.from_species_strings(structures=[structure], \n", " species_i='Na', species_j='Cl')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 258, "width": 372 } }, "output_type": "display_data" } ], "source": [ "plt.plot(rdf_nana.r, rdf_nana.smeared_rdf(), label='Na-Na')\n", "plt.plot(rdf_clcl.r, rdf_clcl.smeared_rdf(), label='Cl-Cl')\n", "plt.plot(rdf_nacl.r, rdf_nacl.smeared_rdf(), label='Na-Cl')\n", "plt.xlabel(r'$r$ / Å')\n", "plt.ylabel(r'$g(r)$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating a RDF from a VASP XDATCAR" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 258, "width": 372 } }, "output_type": "display_data" } ], "source": [ "from pymatgen.io.vasp import Xdatcar\n", "\n", "xd = Xdatcar('data/NaCl_800K_MD_XDATCAR')\n", "\n", "rdf_nana_800K = RadialDistributionFunction.from_species_strings(structures=xd.structures, \n", " species_i='Na', species_j='Na')\n", "rdf_clcl_800K = RadialDistributionFunction.from_species_strings(structures=xd.structures, \n", " species_i='Cl', species_j='Cl')\n", "rdf_nacl_800K = RadialDistributionFunction.from_species_strings(structures=xd.structures, \n", " species_i='Na', species_j='Cl')\n", "\n", "plt.plot(rdf_nana_800K.r, rdf_nana_800K.smeared_rdf(), label='Na-Na')\n", "plt.plot(rdf_clcl_800K.r, rdf_clcl_800K.smeared_rdf(), label='Cl-Cl')\n", "plt.plot(rdf_nacl_800K.r, rdf_nacl_800K.smeared_rdf(), label='Na-Cl')\n", "plt.xlabel(r'$r$ / Å')\n", "plt.ylabel(r'$g(r)$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Weighted RDF calculations\n", "\n", "For calculating RDFs from Monte Carlo simulation trajectories `RadialDistributionFunction` can be passed an optional `weights` argument, which takes a list of numerical weights for each structure." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "struct_1 = struct_2 = struct_3 = structure" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "rdf_nacl_mc = RadialDistributionFunction(structures=[struct_1, struct_2, struct_3],\n", " indices_i=indices_na, indices_j=indices_cl,\n", " weights=[34, 27, 146])\n", "# structures and weights lists must be equal lengths" ] } ], "metadata": { "celltoolbar": "Edit 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": "3.11.1" } }, "nbformat": 4, "nbformat_minor": 2 }