{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating bond orientational order parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This example illustrates the calculation of bond orientational order parameters. Bond order parameters, $q_l$ and their averaged versions, $\\bar{q}_l$ are widely used to identify atoms belong to different crystal structures. In this example, we will consider MD snapshots for bcc, fcc, hcp and liquid, and calculate the $q_4$ and $q_6$ parameters and their averaged versions which are widely used in literature. More details can be found [here](https://pyscal.readthedocs.io/en/latest/steinhardtparameters.html). " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pyscal.core as pc\n", "import pyscal.crystal_structures as pcs\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example, we analyse MD configurations, first a set of perfect bcc, fcc and hcp structures and another set with thermal vibrations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Perfect structures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To create atoms and box for perfect structures, the :mod:`~pyscal.crystal_structures` module is used. The created atoms and boxes are then assigned to `System` objects." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "bcc_atoms, bcc_box = pcs.make_crystal('bcc', lattice_constant=3.147, repetitions=[4,4,4])\n", "bcc = pc.System()\n", "bcc.atoms = bcc_atoms\n", "bcc.box = bcc_box" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "fcc_atoms, fcc_box = pcs.make_crystal('fcc', lattice_constant=3.147, repetitions=[4,4,4])\n", "fcc = pc.System()\n", "fcc.atoms = fcc_atoms\n", "fcc.box = fcc_box" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "hcp_atoms, hcp_box = pcs.make_crystal('hcp', lattice_constant=3.147, repetitions=[4,4,4])\n", "hcp = pc.System()\n", "hcp.atoms = hcp_atoms\n", "hcp.box = hcp_box" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next step is calculation of nearest neighbors. There are two ways to calculate neighbors, by using a cutoff distance or by using the voronoi cells. In this example, we will use the cutoff method and provide a cutoff distance for each structure." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Finding the cutoff distance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cutoff distance is normally calculated in a such a way that the atoms within the first shell is incorporated in this distance. The :func:`pyscal.core.System.calculate_rdf` function can be used to find this cutoff distance." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "bccrdf = bcc.calculate_rdf()\n", "fccrdf = fcc.calculate_rdf()\n", "hcprdf = hcp.calculate_rdf()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the calculated rdf is plotted" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(11,4))\n", "ax1.plot(bccrdf[1], bccrdf[0])\n", "ax2.plot(fccrdf[1], fccrdf[0])\n", "ax3.plot(hcprdf[1], hcprdf[0])\n", "ax1.set_xlim(0,5)\n", "ax2.set_xlim(0,5)\n", "ax3.set_xlim(0,5)\n", "ax1.set_title('bcc')\n", "ax2.set_title('fcc')\n", "ax3.set_title('hcp')\n", "ax2.set_xlabel(\"distance\")\n", "ax1.axvline(3.6, color='red')\n", "ax2.axvline(2.7, color='red')\n", "ax3.axvline(3.6, color='red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The selected cutoff distances are marked in red in the above plot. For bcc, since the first two shells are close to each other, for this example, we will take the cutoff in such a way that both shells are included." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Steinhardt's parameters - cutoff neighbor method" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "bcc.find_neighbors(method='cutoff', cutoff=3.6)\n", "fcc.find_neighbors(method='cutoff', cutoff=2.7)\n", "hcp.find_neighbors(method='cutoff', cutoff=3.6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have used a cutoff of 3 here, but this is a parameter that has to be tuned. Using a different cutoff for each structure is possible, but it would complicate the method if the system has a mix of structures. Now we can calculate the $q_4$ and $q_6$ distributions " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "bcc.calculate_q([4,6])\n", "fcc.calculate_q([4,6])\n", "hcp.calculate_q([4,6])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thats it! Now lets gather the results and plot them." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "bccq = bcc.get_qvals([4, 6])\n", "fccq = fcc.get_qvals([4, 6])\n", "hcpq = hcp.get_qvals([4, 6])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(bccq[0], bccq[1], s=60, label='bcc', color='#C62828')\n", "plt.scatter(fccq[0], fccq[1], s=60, label='fcc', color='#FFB300')\n", "plt.scatter(hcpq[0], hcpq[1], s=60, label='hcp', color='#388E3C')\n", "plt.xlabel(\"$q_4$\", fontsize=20)\n", "plt.ylabel(\"$q_6$\", fontsize=20)\n", "plt.legend(loc=4, fontsize=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Firstly, we can see that Steinhardt parameter values of all the atoms fall on one specific point which is due to the absence of thermal vibrations. Next, all the points are well separated and show good distinction. However, at finite temperatures, the atomic positions are affected by thermal vibrations and hence show a spread in the distribution. We will show the effect of thermal vibrations in the next example. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Structures with thermal vibrations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once again, we create the reqd structures using the :mod:`~pyscal.crystal_structures` module. Noise can be applied to atomic positions using the `noise` keyword as shown below." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "bcc_atoms, bcc_box = pcs.make_crystal('bcc', lattice_constant=3.147, repetitions=[10,10,10], noise=0.01)\n", "bcc = pc.System()\n", "bcc.atoms = bcc_atoms\n", "bcc.box = bcc_box" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "fcc_atoms, fcc_box = pcs.make_crystal('fcc', lattice_constant=3.147, repetitions=[10,10,10], noise=0.01)\n", "fcc = pc.System()\n", "fcc.atoms = fcc_atoms\n", "fcc.box = fcc_box" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "hcp_atoms, hcp_box = pcs.make_crystal('hcp', lattice_constant=3.147, repetitions=[10,10,10], noise=0.01)\n", "hcp = pc.System()\n", "hcp.atoms = hcp_atoms\n", "hcp.box = hcp_box" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### cutoff method" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "bcc.find_neighbors(method='cutoff', cutoff=3.6)\n", "fcc.find_neighbors(method='cutoff', cutoff=2.7)\n", "hcp.find_neighbors(method='cutoff', cutoff=3.6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now, calculate $q_4$, $q_6$ parameters" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "bcc.calculate_q([4,6])\n", "fcc.calculate_q([4,6])\n", "hcp.calculate_q([4,6])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gather the q vales and plot them" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "bccq = bcc.get_qvals([4, 6])\n", "fccq = fcc.get_qvals([4, 6])\n", "hcpq = hcp.get_qvals([4, 6])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(fccq[0], fccq[1], s=10, label='fcc', color='#FFB300')\n", "plt.scatter(hcpq[0], hcpq[1], s=10, label='hcp', color='#388E3C')\n", "plt.scatter(bccq[0], bccq[1], s=10, label='bcc', color='#C62828')\n", "plt.xlabel(\"$q_4$\", fontsize=20)\n", "plt.ylabel(\"$q_6$\", fontsize=20)\n", "plt.legend(loc=4, fontsize=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is not so great as the first case, we can see that the thermal vibrations cause the distributions to spread a lot and overlap with each other. Lechner and Dellago proposed using the averaged distributions, $\\bar{q}_4-\\bar{q}_6$ to better distinguish the distributions. Lets try that. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "bcc.calculate_q([4,6], averaged=True)\n", "fcc.calculate_q([4,6], averaged=True)\n", "hcp.calculate_q([4,6], averaged=True)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "bccaq = bcc.get_qvals([4, 6], averaged=True)\n", "fccaq = fcc.get_qvals([4, 6], averaged=True)\n", "hcpaq = hcp.get_qvals([4, 6], averaged=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets see if these distributions are better.." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(fccaq[0], fccaq[1], s=10, label='fcc', color='#FFB300')\n", "plt.scatter(hcpaq[0], hcpaq[1], s=10, label='hcp', color='#388E3C')\n", "plt.scatter(bccaq[0], bccaq[1], s=10, label='bcc', color='#C62828')\n", "plt.xlabel(\"$q_4$\", fontsize=20)\n", "plt.ylabel(\"$q_6$\", fontsize=20)\n", "plt.legend(loc=4, fontsize=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks much better! We can see that the resolution is much better than the non averaged versions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is also the possibility to calculate structures using Voronoi based neighbor identification too. Let's try that now." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "bcc.find_neighbors(method='voronoi')\n", "fcc.find_neighbors(method='voronoi')\n", "hcp.find_neighbors(method='voronoi')" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "bcc.calculate_q([4,6], averaged=True)\n", "fcc.calculate_q([4,6], averaged=True)\n", "hcp.calculate_q([4,6], averaged=True)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "bccaq = bcc.get_qvals([4, 6], averaged=True)\n", "fccaq = fcc.get_qvals([4, 6], averaged=True)\n", "hcpaq = hcp.get_qvals([4, 6], averaged=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the calculated points.." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(fccaq[0], fccaq[1], s=10, label='fcc', color='#FFB300')\n", "plt.scatter(hcpaq[0], hcpaq[1], s=10, label='hcp', color='#388E3C')\n", "plt.scatter(bccaq[0], bccaq[1], s=10, label='bcc', color='#C62828')\n", "plt.xlabel(\"$q_4$\", fontsize=20)\n", "plt.ylabel(\"$q_6$\", fontsize=20)\n", "plt.legend(loc=4, fontsize=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Voronoi based method also provides good resolution,the major difference being that the location of bcc distribution is different." ] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "base" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 4 }