{ "cells": [ { "cell_type": "markdown", "id": "7e3086c6", "metadata": {}, "source": [ "# Identifying Local Environments in a Complex Crystal\n", "\n", "This notebook shows how to use `freud`'s `EnvironmentCluster` class for searching for unique local environments in a complex crystal, $\\gamma$-Brass.\n", "\n", "\"See [Identity crisis in alchemical space drives the entropic colloidal glass transition (Erin Teich, Greg van Anders, Sharon C. Glotzer)](https://www.nature.com/articles/s41467-018-07977-2) for more sophisticated examples of using this environment detection scheme and the definition of a local environment (in the Supplementary Information).\"" ] }, { "cell_type": "markdown", "id": "97c174d6", "metadata": {}, "source": [ "Prior knowledge of the structure of interest is necessary for selecting parameters and interpreting the results. For example, the $\\gamma$-Brass conventional unit cell has 52 particles (26 in primitive cell) and 4 unique Wyckoff sites. The particles in one unit cell may have different number of nearest neighbors (coordination number)." ] }, { "cell_type": "code", "execution_count": 1, "id": "f315420e", "metadata": { "tags": [] }, "outputs": [], "source": [ "from collections import Counter\n", "\n", "import freud\n", "import matplotlib as mpl\n", "import numpy as np\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "60b661f6", "metadata": { "tags": [] }, "outputs": [], "source": [ "# Generate a perfect gamma-Brass crystal using its conventional unit cell\n", "a = 2\n", "unit_cell = [a, a, a, 0, 0, 0]\n", "basis_positions = [\n", " [-0.67226005, -0.67226005, -0.67226005],\n", " [-0.67226005, -0.32773998, -0.32773998],\n", " [-0.32773998, -0.32773998, -0.67226005],\n", " [-0.32773998, -0.67226005, -0.32773998],\n", " [-0.17225999, -0.17225999, -0.17225999],\n", " [-0.17225999, -0.82774, -0.82774],\n", " [-0.82774, -0.82774, -0.17225999],\n", " [-0.82774, -0.17225999, -0.82774],\n", " [-0.89219, -0.89219, -0.89219],\n", " [-0.89219, -0.10780999, -0.10780999],\n", " [-0.10780999, -0.10780999, -0.89219],\n", " [-0.10780999, -0.89219, -0.10780999],\n", " [-0.39218998, -0.39218998, -0.39218998],\n", " [-0.39218998, -0.60781, -0.60781],\n", " [-0.60781, -0.60781, -0.39218998],\n", " [-0.60781, -0.39218998, -0.60781],\n", " [-0.64421, -1.0, -1.0],\n", " [-1.0, -0.35579, -1.0],\n", " [-0.35579, -1.0, -1.0],\n", " [-1.0, -0.64421, -1.0],\n", " [-1.0, -1.0, -0.35579],\n", " [-1.0, -1.0, -0.64421],\n", " [-0.14420998, -0.5, -0.5],\n", " [-0.5, -0.85579, -0.5],\n", " [-0.85579, -0.5, -0.5],\n", " [-0.5, -0.14420998, -0.5],\n", " [-0.5, -0.5, -0.85579],\n", " [-0.5, -0.5, -0.14420998],\n", " [-0.68844, -0.68844, -0.96326005],\n", " [-0.68844, -0.31155998, -0.03673998],\n", " [-0.31155998, -0.31155998, -0.96326005],\n", " [-0.31155998, -0.68844, -0.03673998],\n", " [-0.96326005, -0.68844, -0.68844],\n", " [-0.03673998, -0.68844, -0.31155998],\n", " [-0.96326005, -0.31155998, -0.31155998],\n", " [-0.03673998, -0.31155998, -0.68844],\n", " [-0.68844, -0.03673998, -0.31155998],\n", " [-0.68844, -0.96326005, -0.68844],\n", " [-0.31155998, -0.03673998, -0.68844],\n", " [-0.31155998, -0.96326005, -0.31155998],\n", " [-0.18844, -0.18844, -0.46326],\n", " [-0.18844, -0.81156003, -0.53674],\n", " [-0.81156003, -0.81156003, -0.46326],\n", " [-0.81156003, -0.18844, -0.53674],\n", " [-0.46326, -0.18844, -0.18844],\n", " [-0.53674, -0.18844, -0.81156003],\n", " [-0.46326, -0.81156003, -0.81156003],\n", " [-0.53674, -0.81156003, -0.18844],\n", " [-0.18844, -0.53674, -0.81156003],\n", " [-0.18844, -0.46326, -0.18844],\n", " [-0.81156003, -0.53674, -0.18844],\n", " [-0.81156003, -0.46326, -0.81156003],\n", "]\n", "uc = freud.data.UnitCell(box=unit_cell, basis_positions=basis_positions)\n", "n = 2\n", "noise = 0.0\n", "gb_lattice = uc.generate_system(n, sigma_noise=noise)" ] }, { "cell_type": "code", "execution_count": 3, "id": "a56bb07b", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The gb lattice has 416 particles\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the rdf for determining the parameters\n", "\n", "r_min = 0\n", "r_max = a / 2\n", "nbins = 200\n", "\n", "box, points = gb_lattice\n", "print(f\"The gb lattice has {len(points)} particles\")\n", "rdf = freud.density.RDF(bins=nbins, r_max=r_max, r_min=r_min)\n", "rdf.compute((box, points))\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(np.linspace(r_min, r_max, nbins), rdf.rdf)\n", "ax.set_xlabel(\"r\")\n", "ax.set_ylabel(\"g(r)\")\n", "plt.vlines(0.68, 0, max(rdf.rdf), colors=\"C1\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2e50a9e1", "metadata": {}, "source": [ "Notice that the first well appears at around r = 0.68. We use this as the cut off radius for `env_neighbor`. We do not use `num_neighbors` here for `env_neighbor` because as mentioned above, the particles in the $\\gamma$-Brass structure may have different coordination numbers, unlike particles in simpler crystals such as BCC (coordination number = 8)." ] }, { "cell_type": "markdown", "id": "c5e6edd8", "metadata": {}, "source": [ "For the `cluster_neighbors` parameter, which specifies the number of neighbors the environment cluster of each particle will be compared with, we choose a neighbor list containing all other particles in the system. Since this system contains only 416 particles, comparing the environments of every single pair of particles does not slow down the computation significantly. To quickly and easily build such a neighborlist, we use the `all_pairs` factory method of the `NeighborList` class." ] }, { "cell_type": "code", "execution_count": 4, "id": "d85652d4", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of particles that belong to each cluster:\n", "[16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16]\n" ] } ], "source": [ "first_well = 0.68\n", "env_cluster = freud.environment.EnvironmentCluster()\n", "\n", "threshold = 0.2 * first_well\n", "env_neighbor = {\"r_max\": first_well}\n", "nlist = freud.locality.NeighborList.all_pairs((box, points))\n", "\n", "env_cluster.compute(\n", " (box, points),\n", " threshold=threshold,\n", " cluster_neighbors=nlist,\n", " env_neighbors=env_neighbor,\n", " registration=False,\n", ")\n", "\n", "print(f\"Number of particles that belong to each cluster:\")\n", "print(list(Counter(env_cluster.cluster_idx).values()))" ] }, { "cell_type": "markdown", "id": "5dd311c4", "metadata": {}, "source": [ "From the figure above, we can see that 26 different clusters were found, with each containing 16 particles. Next we try with `registration=True`, which means that particles whose environments differ only by orientation will be in the same cluster. " ] }, { "cell_type": "code", "execution_count": 5, "id": "4dfca57c", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "first_well = 0.68\n", "env_cluster = freud.environment.EnvironmentCluster()\n", "\n", "threshold = 0.2 * first_well\n", "env_neighbor = {\"r_max\": first_well}\n", "\n", "env_cluster.compute(\n", " (box, points),\n", " threshold=threshold,\n", " cluster_neighbors=nlist,\n", " env_neighbors=env_neighbor,\n", " registration=True,\n", ")\n", "\n", "fig, ax = plt.subplots()\n", "ax.hist(\n", " env_cluster.cluster_idx,\n", " bins=range(env_cluster.num_clusters + 1),\n", " align=\"left\",\n", " rwidth=0.3,\n", ")\n", "ax.set_xlabel(\"Cluster keys\")\n", "ax.set_ylabel(\"Number of particles\")\n", "plt.title(\"Cluster Frequency\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "29b42f4d", "metadata": {}, "source": [ "Next we plot the number of particles that make up a cluster." ] }, { "cell_type": "code", "execution_count": 6, "id": "25ef62bf", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Coordination number of cluster 0: 12\n", "Coordination number of cluster 1: 13\n", "Coordination number of cluster 2: 11\n" ] } ], "source": [ "for i in range(env_cluster.num_clusters):\n", " num_particles = 0\n", " for vector in env_cluster.cluster_environments[i]:\n", " if np.power(vector, 2).sum() > 0:\n", " num_particles += 1\n", " print(f\"Coordination number of cluster {i}: {num_particles}\")" ] }, { "cell_type": "markdown", "id": "48729e4e", "metadata": {}, "source": [ "From the figure above, we can see that indeed the particles have different coordination numbers. Next we use `gsd` to save the snapshot and `fresnel` to visualize it." ] }, { "cell_type": "code", "execution_count": 7, "id": "32c69064", "metadata": { "tags": [] }, "outputs": [], "source": [ "import gsd.hoomd\n", "\n", "typeid = env_cluster.cluster_idx.copy()\n", "snapshot = gsd.hoomd.Frame()\n", "snapshot.particles.N = len(points)\n", "snapshot.particles.position = points\n", "snapshot.particles.types = [str(i) for i in np.unique(typeid)]\n", "snapshot.particles.typeid = typeid\n", "snapshot.particles.diameter = np.ones(len(points))\n", "snapshot.configuration.box = [box.Lx, box.Ly, box.Lz, box.xy, box.xz, box.yz]\n", "with gsd.hoomd.open(f\"gb_lattice.gsd\", mode=\"w\") as f:\n", " f.append(snapshot)" ] }, { "cell_type": "code", "execution_count": 8, "id": "516c30f3", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import fresnel\n", "\n", "# Color particles by different local environments identified\n", "type_colors = np.array(\n", " [\n", " fresnel.color.linear([0.99, 0, 0]),\n", " fresnel.color.linear([0.99, 0.99, 0]),\n", " fresnel.color.linear([0, 0.93, 0.95]),\n", " ]\n", ")\n", "colors = type_colors[typeid]\n", "\n", "scene = fresnel.Scene()\n", "\n", "geometry = fresnel.geometry.Sphere(scene, N=snapshot.particles.N, radius=0.2)\n", "geometry.position[:] = snapshot.particles.position\n", "geometry.material = fresnel.material.Material(roughness=0.9)\n", "geometry.outline_width = 0.02\n", "\n", "geometry.material.primitive_color_mix = 1.0\n", "geometry.color[:] = fresnel.color.linear(colors)\n", "\n", "fresnel.geometry.Box(scene, box, box_radius=0.02)\n", "\n", "scene.camera = fresnel.camera.Orthographic.fit(scene)\n", "scene.lights = fresnel.light.lightbox()\n", "fresnel.pathtrace(scene, light_samples=5)" ] }, { "cell_type": "code", "execution_count": null, "id": "ec85217d", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }