{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# freud.environment.AngularSeparation\n", "The `freud.environment` module analyzes the local environments of particles. The `freud.environment.AngularSeparation` class enables direct measurement of the relative orientations of particles." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import freud\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "plt.rcParams[\"axes.titlepad\"] = 20\n", "import rowan # for quaternion math, see rowan.readthedocs.io for more information.\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to work with orientations in freud, we need to do some math with quaternions.\n", "If you are unfamiliar with quaternions, you can read more about [their definition](https://en.wikipedia.org/wiki/Quaternion) and how they can be used to [represent rotations](https://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation).\n", "For the purpose of this tutorial, just consider them as 4D vectors, and know that the set of normalized (*i.e.* unit norm) 4D vectors can be used to represent rotations in 3D.\n", "In fact, there is a 1-1 mapping between normalized quaternions and 3x3 rotation matrices.\n", "Quaternions are more computationally convenient, however, because they only require storing 4 numbers rather than 9, and they can be much more easily chained together.\n", "The rowan library ([rowan.readthedocs.io](https://rowan.readthedocs.io/)) defines many useful operations using quaternions, such as the rotations of vectors using quaternions instead of matrices." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Neighbor Angles\n", "\n", "One usage of the AngularSeparation class is to compute angles between neighboring particles.\n", "To show how this works, we generate a simple configuration of particles with random orientations associated with each point." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "uc = freud.data.UnitCell.sc()\n", "box, positions = uc.generate_system(5)\n", "N = len(positions)\n", "\n", "# Generate random, correlated particle orientations by taking identity\n", "# quaternions and slightly rotating them in a random direction\n", "np.random.seed(0)\n", "interpolate_amount = 0.2\n", "identity_quats = np.array([[1, 0, 0, 0]] * N)\n", "ref_orientations = rowan.interpolate.slerp(\n", " identity_quats, rowan.random.rand(N), interpolate_amount\n", ")\n", "orientations = rowan.interpolate.slerp(\n", " identity_quats, rowan.random.rand(N), interpolate_amount\n", ")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# To show orientations, we use arrows rotated by the quaternions.\n", "ref_arrowheads = rowan.rotate(ref_orientations, np.array([1, 0, 0]))\n", "arrowheads = rowan.rotate(orientations, np.array([1, 0, 0]))\n", "\n", "fig = plt.figure(figsize=(12, 6))\n", "ref_ax = fig.add_subplot(121, projection=\"3d\")\n", "ax = fig.add_subplot(122, projection=\"3d\")\n", "ref_ax.quiver3D(\n", " positions[:, 0],\n", " positions[:, 1],\n", " positions[:, 2],\n", " ref_arrowheads[:, 0],\n", " ref_arrowheads[:, 1],\n", " ref_arrowheads[:, 2],\n", ")\n", "ax.quiver3D(\n", " positions[:, 0],\n", " positions[:, 1],\n", " positions[:, 2],\n", " arrowheads[:, 0],\n", " arrowheads[:, 1],\n", " arrowheads[:, 2],\n", ")\n", "ref_ax.set_title(\"Reference orientations\", fontsize=16)\n", "ax.set_title(\"Orientations\", fontsize=16)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now use the AngularSeparation class to compare the orientations in these two systems." ] }, { "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": [ "# For simplicity, we'll assume that our \"particles\" are completely\n", "# asymmetric, i.e. there are no rotations that map the particle\n", "# back onto itself. If we had a regular polyhedron, then we would\n", "# want to specify all the quaternions that rotate that polyhedron\n", "# onto itself.\n", "equiv_orientations = np.array([[1, 0, 0, 0]])\n", "ang_sep = freud.environment.AngularSeparationNeighbor()\n", "ang_sep.compute(\n", " system=(box, positions),\n", " orientations=orientations,\n", " query_points=positions,\n", " query_orientations=ref_orientations,\n", " equiv_orientations=equiv_orientations,\n", " neighbors={\"num_neighbors\": 12},\n", ")\n", "\n", "# Convert angles from radians to degrees and plot histogram\n", "neighbor_angles = np.rad2deg(ang_sep.angles)\n", "plt.hist(neighbor_angles)\n", "plt.title(\"Histogram of angular separations between neighbors\")\n", "plt.xlabel(\"Angular separation (degrees)\")\n", "plt.ylabel(\"Frequency\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Global Angles\n", "\n", "Alternatively, the AngularSeparationGlobal class can also be used to compute the orientation of all points in the system relative to some global set of orientations.\n", "In this case, we simply provide a set of global quaternions that we want to consider.\n", "For simplicity, let's consider $180^\\circ$ rotations about each of the coordinate axes, which have very simple quaternion representations." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "global_orientations = np.array([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])\n", "ang_sep = freud.environment.AngularSeparationGlobal()\n", "ang_sep.compute(global_orientations, ref_orientations, equiv_orientations)\n", "global_angles = np.rad2deg(ang_sep.angles)" ] }, { "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": [ "plt.hist(global_angles[:, 0])\n", "plt.title(\"Histogram of angular separation relative to identity quaternion\")\n", "plt.xlabel(\"Angular separation (degrees)\")\n", "plt.ylabel(\"Frequency\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a simple check, we can ensure that for the identity quaternion $(1, 0, 0, 0)$, which performs a $0^\\circ$ rotation, the angles between the reference orientations and that quaternion are equal to the original angles of rotation of those quaternions (*i.e.* how much those orientations were already rotated relative to the identity)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ref_axes, ref_angles = rowan.to_axis_angle(ref_orientations)\n", "np.allclose(global_angles[:, 0], np.rad2deg(ref_angles), rtol=1e-4)" ] } ], "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 }