{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Checking interpolation of phonon modes\n", "\n", "In this tutorial, we will try to plot the phonon modes and its derivatives as functions of volume." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the configuration and run the `Calculator`\n", "\n", "Same as performing calculations programatically, we need to load the `qha-cij` calculator first." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/chazeon/Documents/Projects/qha-cij-2/cij/core/phonon_modulus.py:88: RuntimeWarning: divide by zero encountered in true_divide\n", " return h_div_k * (self.freq_array[nax,:,:,:] / self.t_array[:,nax,nax,nax])\n", "/Users/chazeon/Documents/Projects/qha-cij-2/cij/core/phonon_modulus.py:88: RuntimeWarning: invalid value encountered in true_divide\n", " return h_div_k * (self.freq_array[nax,:,:,:] / self.t_array[:,nax,nax,nax])\n", "/Users/chazeon/Documents/Projects/qha-cij-2/cij/core/phonon_modulus.py:96: RuntimeWarning: overflow encountered in exp\n", " return self.Q ** 2 * numpy.exp(self.Q) / (numpy.exp(self.Q) - 1) ** 2\n", "/Users/chazeon/Documents/Projects/qha-cij-2/cij/core/phonon_modulus.py:96: RuntimeWarning: overflow encountered in square\n", " return self.Q ** 2 * numpy.exp(self.Q) / (numpy.exp(self.Q) - 1) ** 2\n", "/Users/chazeon/Documents/Projects/qha-cij-2/cij/core/phonon_modulus.py:96: RuntimeWarning: invalid value encountered in true_divide\n", " return self.Q ** 2 * numpy.exp(self.Q) / (numpy.exp(self.Q) - 1) ** 2\n", "/Users/chazeon/Documents/Projects/qha-cij-2/cij/core/phonon_modulus.py:92: RuntimeWarning: overflow encountered in exp\n", " return self.Q / (numpy.exp(self.Q) - 1)\n", "/Users/chazeon/Documents/Projects/qha-cij-2/cij/core/phonon_modulus.py:92: RuntimeWarning: invalid value encountered in true_divide\n", " return self.Q / (numpy.exp(self.Q) - 1)\n" ] } ], "source": [ "import cij.core.calculator\n", "\n", "\n", "calculator = cij.core.calculator.Calculator(\"_attachments/plotting/config.yml\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting the interploated phonon modes and its derivatives\n", "\n", "To plot phonon modes, we could use the `ModePlotter` module.\n", "\n", "To use this module, we mport it first, and create a `ModePlotter` object `plotter` and initialize it with the `Calculator` we prepared above. With the `plotter` we can easily plot the interpolated mode frequency $\\omega_{qm}(V)$, Grüneisen parameter $\\gamma_{qm}(V)$ and $V\\partial\\gamma_{qm}/\\partial V$ with it." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from cij.plot import ModePlotter\n", "from matplotlib import pyplot as plt\n", "\n", "plotter = ModePlotter(calculator)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method used for plotting these parameters as a function of volumes (in Å$^3$) is `plot_modes`, the first parameter is the `pyplot` handle or an Matplotlib `Axes`. Two other optional parameters controls the behavior of the plotting method\n", "\n", "- `n` controls is the order of derivatives, where\n", " - `n = 0` (default) plots interpolated mode frequency $\\omega_{qm}(V)$, and additionally scatters the uninterpolated phonon frequency data as in the QHA input with it.\n", " - `n = 1` plots Grüneisen parameter $\\gamma_{qm}(V)$\n", " - `n = 2` plots $V\\partial\\gamma_{qm}/\\partial V$\n", "- `iq` controls the $q$ point to plot on, usually, `iq = 0` means you are plotting all the modes at $\\Gamma$ point.\n", "\n", "In the following 3 pieces of codes, I plot mode frequency $\\omega_{qm}(V)$, Grüneisen parameter $\\gamma_{qm}(V)$ and $V\\partial\\gamma_{qm}/\\partial V$ respectively at $\\Gamma$ point respectively." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "\n", "plotter.plot_modes(plt, n = 0)\n", "\n", "plt.ylim(0, 1200)\n", "plt.xlim(min(plotter.volumes), max(plotter.volumes))\n", "plt.xlabel(\"Volume (Å$^3$)\")\n", "plt.ylabel(\"Frequency (cm$^{-1}$)\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "\n", "plotter.plot_modes(plt, n = 1)\n", "\n", "plt.ylim(-100, 100)\n", "plt.xlim(min(plotter.volumes), max(plotter.volumes))\n", "plt.xlabel(\"Volume (Å$^3$)\")\n", "plt.ylabel(\"$\\\\gamma$\")\n", "\n", "plt.show()" ] }, { "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": [ "plt.figure()\n", "\n", "plotter.plot_modes(plt, n = 2)\n", "\n", "plt.ylim(-5, 5)\n", "plt.xlim(min(plotter.volumes), max(plotter.volumes))\n", "plt.xlabel(\"Volume (Å$^3$)\")\n", "plt.ylabel(\"$V\\\\partial\\\\gamma/\\\\partial V$\")\n", "\n", "plt.show()" ] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }