{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Anisotropic Form Factors\n", "\n", "Scientists frequently use diffraction patterns to study structure at the nanoscale.\n", "In many cases, it is sufficient to model radiation as scattering off of isotropic bodies arranged in an anisotropic manner, as atoms in a crystal.\n", "However, in some cases the scatterers may themselves be anisotropic, in which case it is also necessary to account for the different scattering in different directions caused by the shape of the scatterers.\n", "In scattering theory, this distinction is captured by splitting the total scattering density into two parts, the structure factor (which describes scattering caused by the arrangement of particles) and the form factor (which describes scattering due to the shapes of the particles).\n", "Computing form factors for all but a few shapes can be a difficult matter, so **coxeter** simplifies that for you." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "import coxeter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a demonstration, let's use a tetrahedron." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "R = 1\n", "sphere = coxeter.shapes.Sphere(R)\n", "tetrahedron = coxeter.families.PlatonicFamily.get_shape(\"Tetrahedron\")\n", "tetrahedron.insphere_radius = sphere.radius" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The form factor is computed at user-specified vectors in reciprocal space.\n", "For example, here's the form factor of a tetrahedron at a few points in reciprocal space." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([10.24019611+0.52644567j, 3.91828341+2.15816328j])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tetrahedron.compute_form_factor_amplitude(np.array([[1, 0, 0], [2, 0, 0]]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As previously mentioned, a critical property of the form factor is that it is anistropic.\n", "This means that the form factor depends on the direction of the incident radiation.\n", "To capture this fact, let's look at how the form factor varies along the three coordinate axes for this tetrahedron.\n", "For comparison, we'll do a comparable calculation for a sphere." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "q = np.linspace(0.0001, 20, 100)\n", "rho = 0.0005\n", "qR = q * R\n", "\n", "q_vectors_x = np.zeros((q.shape[0], 3))\n", "q_vectors_y = np.zeros((q.shape[0], 3))\n", "q_vectors_z = np.zeros((q.shape[0], 3))\n", "q_vectors_x[:, 0] = q\n", "q_vectors_y[:, 1] = q\n", "q_vectors_z[:, 2] = q\n", "F_tet_x = tetrahedron.compute_form_factor_amplitude(q_vectors_x, density=rho)\n", "F_tet_y = tetrahedron.compute_form_factor_amplitude(q_vectors_y, density=rho)\n", "F_tet_z = tetrahedron.compute_form_factor_amplitude(q_vectors_z, density=rho)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The form factor of a sphere is a good baseline for comparison.\n", "Since a sphere is isotropic, so is its form factor, and it provides a quantitative basis for comparison to the tetrahedron." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "F_sphere = sphere.compute_form_factor_amplitude(q_vectors_x, density=rho)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's use a plot to visualize the results." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 10))\n", "ax.semilogy(qR, (F_sphere.real) ** 2, label=\"Sphere\", lw=5)\n", "\n", "scale_factor = F_sphere[0].real / F_tet_x[0].real\n", "ax.semilogy(\n", " qR, (scale_factor * F_tet_x.real) ** 2 * 4 * np.pi, label=\"Tetrahedron $x$\", lw=5\n", ")\n", "ax.semilogy(\n", " qR, (scale_factor * F_tet_y.real) ** 2 * 4 * np.pi, label=\"Tetrahedron $y$\", lw=5\n", ")\n", "ax.semilogy(\n", " qR, (scale_factor * F_tet_z.real) ** 2 * 4 * np.pi, label=\"Tetrahedron $z$\", lw=5\n", ")\n", "\n", "ax.legend(loc=\"best\", fontsize=18)\n", "ax.set_xlabel(r\"$qR$\", fontsize=24)\n", "ax.set_ylabel(r\"$F^2(qR)$\", fontsize=24)\n", "ax.tick_params(which=\"both\", axis=\"both\", labelsize=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Evidently, the form factor varies substantially along different coordinate axes for the tetrahedron.\n", "While the x and z axis results are relatively similar, the form factor along the y axis is far less oscillatory.\n", "Moreover, all three results contain many more interesting results than the sphere's form factor, which is essentially just a simple periodic wave.\n", "Note that all these results are subject to global transformation laws, i.e. they depend on the orientation of the tetrahedron used in this calculation.\n", "If the tetrahedron were to rotate, then the results would shift accordingly." ] } ], "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }