From fe156c116cac2101c18d70eb9ae4fded4b3040d4 Mon Sep 17 00:00:00 2001 From: Sudo-Raheel Date: Fri, 28 Jun 2024 21:35:13 +0530 Subject: [PATCH 1/5] Short script for computing charge density difference --- README.md | 1 + .../2024-06-28-Charge_Density_Difference.html | 7804 +++++++++++++++++ ...2024-06-28-Charge_Density_Difference.ipynb | 265 + notebooks/24-06-28_chgdiff.png | Bin 0 -> 58197 bytes 4 files changed, 8070 insertions(+) create mode 100644 docs/_posts/2024-06-28-Charge_Density_Difference.html create mode 100644 notebooks/2024-06-28-Charge_Density_Difference.ipynb create mode 100644 notebooks/24-06-28_chgdiff.png diff --git a/README.md b/README.md index dfe1668..aaaf5f4 100644 --- a/README.md +++ b/README.md @@ -49,6 +49,7 @@ anyone is welcome to contribute. | **[2021-08-26-Magnetic Structure Generation as Input for Initial DFT Calculations](https://github.com/materialsvirtuallab/matgenb/blob/master/notebooks/2021-08-26-Magnetic%20Structure%20Generation%20as%20Input%20for%20Initial%20DFT%20Calculations.ipynb)** | [![Binder]](https://mybinder.org/v2/gh/materialsvirtuallab/matgenb/master?labpath=notebooks/2021-08-26-Magnetic%20Structure%20Generation%20as%20Input%20for%20Initial%20DFT%20Calculations.ipynb) | [![Launch Codespace]][codespace url] | [![Open in Google Colab]](https://colab.research.google.com/github/materialsvirtuallab/matgenb/blob/master/notebooks/2021-08-26-Magnetic%20Structure%20Generation%20as%20Input%20for%20Initial%20DFT%20Calculations.ipynb) | | **[2021-5-12-Explanation of Corrections](https://github.com/materialsvirtuallab/matgenb/blob/master/notebooks/2021-5-12-Explanation%20of%20Corrections.ipynb)** | [![Binder]](https://mybinder.org/v2/gh/materialsvirtuallab/matgenb/master?labpath=notebooks/2021-5-12-Explanation%20of%20Corrections.ipynb) | [![Launch Codespace]][codespace url] | [![Open in Google Colab]](https://colab.research.google.com/github/materialsvirtuallab/matgenb/blob/master/notebooks/2021-5-12-Explanation%20of%20Corrections.ipynb) | | **[2022-07-23 Interactive Crystal Toolkit Structure Viewer](https://github.com/materialsvirtuallab/matgenb/blob/master/notebooks/2022-07-23%20Interactive%20Crystal%20Toolkit%20Structure%20Viewer.ipynb)** | [![Binder]](https://mybinder.org/v2/gh/materialsvirtuallab/matgenb/master?labpath=notebooks/2022-07-23%20Interactive%20Crystal%20Toolkit%20Structure%20Viewer.ipynb) | [![Launch Codespace]][codespace url] | [![Open in Google Colab]](https://colab.research.google.com/github/materialsvirtuallab/matgenb/blob/master/notebooks/2022-07-23%20Interactive%20Crystal%20Toolkit%20Structure%20Viewer.ipynb) | +| **[2024-06-27 Charge Density Difference](https://github.com/materialsvirtuallab/matgenb/blob/master/notebooks/2024-06-25%20Charge_Density_Difference.ipynb)** | [![Binder]](https://mybinder.org/v2/gh/materialsvirtuallab/matgenb/master?labpath=notebooks/2024-06-27%20Charge_Density_Difference.ipynb) | [![Launch Codespace]][codespace url] | [![Open in Google Colab]](https://colab.research.google.com/github/materialsvirtuallab/matgenb/blob/master/notebooks/2024-06-27%20Charge_Density_Difference.ipynb) | [Binder]: https://mybinder.org/badge_logo.svg [Open in Google Colab]: https://colab.research.google.com/assets/colab-badge.svg diff --git a/docs/_posts/2024-06-28-Charge_Density_Difference.html b/docs/_posts/2024-06-28-Charge_Density_Difference.html new file mode 100644 index 0000000..e6285dc --- /dev/null +++ b/docs/_posts/2024-06-28-Charge_Density_Difference.html @@ -0,0 +1,7804 @@ + + + + + +2024-06-28-Charge_Density_Difference + + + + + + + + + + + + +
+ + + + + + + + +
+ + diff --git a/notebooks/2024-06-28-Charge_Density_Difference.ipynb b/notebooks/2024-06-28-Charge_Density_Difference.ipynb new file mode 100644 index 0000000..27ffd61 --- /dev/null +++ b/notebooks/2024-06-28-Charge_Density_Difference.ipynb @@ -0,0 +1,265 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "42d1bcc9", + "metadata": {}, + "source": [ + "# Charge density difference \n", + "\n", + "* Short script to obtain Charger density difference for two or more constituents , where\n", + "$$ \\Delta \\rho = \\rho_{AB} - \\rho_{A} - \\rho_{B}$$\n", + "* This charge density difference is a grid file which can be visualized similiar to a CHGCAR file\n", + "* Moreover the planar averaged charge density is also plotted to visualize the transfer of electrons \n", + "\n", + "[Pymatgen] (https://github.com/materialsproject/pymatgen) is used for loading and manuplating the CHGCAR files.\n", + "\n", + "##### Raheel Hammad [ https://github.com/Sudo-Raheel ] (raheel.hammad1997@gmail.com)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bba1b004", + "metadata": {}, + "outputs": [], + "source": [ + "# Uncomment the subsequent lines in this cell to install dependencies for Google Colab.\n", + "# !pip install pymatgen==2024.6.10" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "f000232c", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "from pymatgen.io.vasp.outputs import Chgcar, VolumetricData\n", + "from pymatgen.io.common import VolumetricData as CommonVolumetricData\n", + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "id": "e669ef33", + "metadata": {}, + "source": [ + "The working directory contains 3 CHGCAR files ... the total system {LiMoS2_F}(AB) and its constituent systems {LiMoS2}(A) and {G}(F)....\n", + "\n", + "NOTE!!! The constituent systems A and B should not be optimized and it should be ensured that the real space grid NX, NY, NZ is the same for all CHGCAR files.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "068ee94b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['F_CHGCAR',\n", + " 'LiMoS2_F_CHGCAR',\n", + " 'LiMoS2_CHGCAR',\n", + " '2024-06-25-Charge_Density_Difference.ipynb']" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "os.listdir()" + ] + }, + { + "cell_type": "markdown", + "id": "e974cf22", + "metadata": {}, + "source": [ + "### Read the CHGCAR files \n", + "the grid NX,NY,NZ is also printed" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1171d9bc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(108, 72, 384)\n" + ] + } + ], + "source": [ + "# Load the CHGCARs\n", + "chgcar_AB = Chgcar.from_file(\"LiMoS2_F_CHGCAR\")\n", + "chgcar_A = Chgcar.from_file(\"LiMoS2_CHGCAR\")\n", + "chgcar_B = Chgcar.from_file(\"F_CHGCAR\")\n", + "\n", + "# Get the grid shape (same for all CHGCAR files)\n", + "print(np.shape(chgcar_B.data['total']))\n", + "grid=np.shape(chgcar_B.data['total'])" + ] + }, + { + "cell_type": "markdown", + "id": "5a21f84c", + "metadata": {}, + "source": [ + "### new CHGDIFF.vasp is created \n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "51cce32e", + "metadata": {}, + "outputs": [], + "source": [ + "poscar = chgcar_AB.poscar # strucutre of total system \n", + "data_diff = chgcar_AB.data['total'] - chgcar_A.data['total'] - chgcar_B.data['total'] # difference of grid data\n", + "del chgcar_AB, chgcar_A, chgcar_B \n", + "\n", + "#writing the new grid file\n", + "volumetric_diff = VolumetricData(structure=poscar.structure, data={'total': data_diff})\n", + "volumetric_diff.write_file('CHGDIFF.vasp')" + ] + }, + { + "cell_type": "markdown", + "id": "ec7c1ec4", + "metadata": {}, + "source": [ + "### VESTA visualization of CHGDIFF file\n", + "\"CHGDIFF\"" + ] + }, + { + "cell_type": "markdown", + "id": "2eefe3c9", + "metadata": {}, + "source": [ + "### Planar averaged density " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "2eaee023", + "metadata": {}, + "outputs": [], + "source": [ + "#planar averaged density\n", + "volumetric_diff = CommonVolumetricData(structure=poscar.structure, data={'total': data_diff})\n", + "planar_avg = volumetric_diff.get_average_along_axis(ind=2) # ind 2 is for 001 direction \n", + "\n", + "c_latt=poscar.structure.lattice.c\n", + "planar_avg=planar_avg/c_latt # linear charge density profile\n", + "c_arr=np.linspace(0,c_latt,grid[2])" + ] + }, + { + "cell_type": "markdown", + "id": "a0074a76", + "metadata": {}, + "source": [ + "### Plotting the linear charge density \n", + "also the cumulative integral " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "f269d5e3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib import pyplot as plt \n", + "from scipy.integrate import cumtrapz\n", + "\n", + "desired_aspect_ratio = 1\n", + "fig_width = 8 # You can adjust this value to control the width of the figure\n", + "fig_height = fig_width / desired_aspect_ratio\n", + "fig, ax = plt.subplots(figsize=(fig_width, fig_height))\n", + "\n", + "plt.xticks(fontweight='bold')\n", + "plt.yticks(fontsize=20, fontweight='bold')\n", + "plt.xticks(fontsize=20, fontweight='bold')\n", + "plt.tick_params(axis='x', which='both', length=4, width=2, pad=15)\n", + "plt.tick_params(axis='y', which='both', length=4, width=2)\n", + "\n", + "ax.set_xlabel(\"Distance (Ã…)\", color=\"black\", fontsize=22, fontweight='bold')\n", + "ax.set_ylabel(r\"$\\mathregular {\\int \\Delta \\rho (z) dz (e)}$\", color=\"black\", fontsize=26, fontweight='bold')\n", + "ax.set_xlim([0,35])\n", + "\n", + "ax.set_xlim([0,35])\n", + "\n", + "#cumulative integral \n", + "integ_elec = cumtrapz(planar_avg, c_arr, initial=0)\n", + "\n", + "ax.plot(c_arr,planar_avg,lw=2,color='purple',label='density')\n", + "ax.plot(c_arr, integ_elec, lw=2, color='black', ls='--',label='cumulative integral')\n", + "plt.legend(fontsize='12')" + ] + }, + { + "cell_type": "markdown", + "id": "4d17bb9b", + "metadata": {}, + "source": [ + "Roughly 0.55 electrons have been transferred from $Li_1Mo_{16}S_{32}$ to the Flourine sheet.\n", + " " + ] + } + ], + "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": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/24-06-28_chgdiff.png b/notebooks/24-06-28_chgdiff.png 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74714 +++++++++++++++ notebooks/chgcar_data/LiMoS2_CHGCAR | 75241 +++++++++++++++ notebooks/chgcar_data/LiMoS2_F_CHGCAR | 75295 ++++++++++++++++ 6 files changed, 299979 insertions(+), 26 deletions(-) create mode 100644 notebooks/CHGDIFF.vasp create mode 100644 notebooks/chgcar_data/F_CHGCAR create mode 100644 notebooks/chgcar_data/LiMoS2_CHGCAR create mode 100644 notebooks/chgcar_data/LiMoS2_F_CHGCAR diff --git a/docs/_posts/2024-06-28-Charge_Density_Difference.html b/docs/_posts/2024-06-28-Charge_Density_Difference.html index e6285dc..710bcdb 100644 --- a/docs/_posts/2024-06-28-Charge_Density_Difference.html +++ b/docs/_posts/2024-06-28-Charge_Density_Difference.html @@ -7548,7 +7548,7 @@