{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# freud.environment.BondOrder\n", "## Computing Bond Order Diagrams\n", "The `freud.environment` module analyzes the local environments of particles. In this example, the `freud.environment.BondOrder` class is used to plot the bond order diagram (BOD) of a system of particles." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import freud\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setup\n", "Our sample data will be taken from an face-centered cubic (FCC) structure. The array of points is rather large, so that the plots are smooth. Smaller systems may need to gather data from multiple frames in order to smooth the resulting array's statistics, by computing multiple times with `reset=False`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "uc = freud.data.UnitCell.fcc()\n", "box, points = uc.generate_system(40, sigma_noise=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we create a `BondOrder` compute object and create some arrays useful for plotting." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "n_bins_theta = 100\n", "n_bins_phi = 100\n", "bod = freud.environment.BondOrder((n_bins_theta, n_bins_phi))\n", "\n", "phi = np.linspace(0, np.pi, n_bins_phi)\n", "theta = np.linspace(0, 2 * np.pi, n_bins_theta)\n", "phi, theta = np.meshgrid(phi, theta)\n", "x = np.sin(phi) * np.cos(theta)\n", "y = np.sin(phi) * np.sin(theta)\n", "z = np.cos(phi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computing the Bond Order Diagram\n", "Next, we use the `compute` method and the `bond_order` property to return the array." ] }, { "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": [ "bod_array = bod.compute(\n", " system=(box, points), neighbors={\"num_neighbors\": 12}\n", ").bond_order\n", "# Clean up polar bins for plotting\n", "bod_array = np.clip(bod_array, 0, np.percentile(bod_array, 99))\n", "plt.imshow(bod_array.T)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting on a sphere\n", "This code shows the bond order diagram on a sphere as the sphere is rotated. The code takes a few seconds to run, so be patient." ] }, { "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": [ "fig = plt.figure(figsize=(12, 8))\n", "for plot_num in range(6):\n", " ax = fig.add_subplot(231 + plot_num, projection=\"3d\")\n", " ax.plot_surface(\n", " x,\n", " y,\n", " z,\n", " rstride=1,\n", " cstride=1,\n", " shade=False,\n", " facecolors=matplotlib.cm.viridis(bod_array / np.max(bod_array)),\n", " )\n", " ax.set_xlim(-1, 1)\n", " ax.set_ylim(-1, 1)\n", " ax.set_zlim(-1, 1)\n", " ax.set_axis_off()\n", " # View angles in degrees\n", " view_angle = 0, plot_num * 15\n", " ax.view_init(*view_angle)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using Custom Neighbors\n", "We can also use a custom neighbor query to determine bonds. For example, we can filter for a range of bond lengths. Below, we only consider neighbors between $r_{min} = 2.5$ and $r_{max} = 3$ and plot the resulting bond order diagram." ] }, { "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": [ "bod_array = bod.compute(\n", " system=(box, points), neighbors={\"r_max\": 3.0, \"r_min\": 2.5}\n", ").bond_order\n", "# Clean up polar bins for plotting\n", "bod_array = np.clip(bod_array, 0, np.percentile(bod_array, 99))\n", "plt.imshow(bod_array.T)\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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }