{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculate constituent strain parameters\n", "This notebook demonstrates how to calculate the constituent strain in a fashion suitable for subsequent fitting of cluster expansions and Monte Carlo simulations. The result will be a file with Redlich-Kister parameters that can be used to quickly evaluate the strain energy for a superlattice with a particular concentration and interface orientation.\n", "\n", "Here, the Ag-Cu system will be used as example. This is a cubic system, and the below code relies on cubic symmetry; for non-cubic symmetries, siginificant changes need to be made. For simplicity, we will use ASE's EMT calculator to calculate energy. This should typically be replaced with DFT calculations. The algorithm used here is based on the one outlined by [Ozoliņš et al. (doi: 10.1103/PhysRevB.57.4816)](https://doi.org/10.1103/PhysRevB.57.4816), which in turn was based on [Laks et al. (doi: 10.1103/PhysRevB.46.12587](https://doi.org/10.1103/PhysRevB.46.12587)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from icet.tools.constituent_strain_helper_functions import redlich_kister, redlich_kister_vector\n", "from scipy.optimize import minimize, curve_fit\n", "from ase.build import bulk\n", "from ase.calculators.emt import EMT\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extract cohesive energy and equilibrium lattice parameter" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(ncols=2, figsize=(6, 3), dpi=120)\n", "\n", "elements = ('Ag', 'Cu')\n", "a_guess = {'Ag': 4.064, 'Cu': 3.59} # We can refine these guesses if they are wrong\n", "a_calculated = {} # Will hold the calculated equilibrium lattice parameter\n", "E_coh = {} # Will hold cohesive energies\n", "calc = EMT()\n", "\n", "npoints = 11\n", "scales = np.linspace(0.999, 1.001, npoints)\n", "for element_i, element in enumerate(elements):\n", " \n", " # Calculate energy for cells with increasing size\n", " energies = []\n", " for scale in scales:\n", " a = a_guess[element] * scale\n", " structure = bulk(element, a=a, crystalstructure='fcc')\n", " structure.calc = calc\n", " energy = structure.get_potential_energy()\n", " energies.append(energy)\n", " \n", " # Find minimum.\n", " # Can obviously be done in many ways; here we fit a polynomial and search for the minima of the polynomial\n", " pfit = np.polyfit(a_guess[element] * scales, energies, deg=3)\n", " poly = np.poly1d(pfit)\n", " res = minimize(poly, x0=a_guess[element],\n", " bounds=[(a_guess[element] * scales[0], a_guess[element] * scales[-1])])\n", " a_calculated[element] = res.x[0]\n", " E_coh[element] = poly(res.x[0])\n", " \n", " ax = axes[element_i]\n", " ax.set_title(element)\n", " conv = 1e3\n", " ax.plot(a_guess[element] * scales, conv * np.array(energies), '-o')\n", " ax.set_xlabel('Lattice parameter (Å)')\n", " \n", " ax.plot([a_calculated[element]], [conv * E_coh[element]], 'x')\n", "\n", "axes[0].set_ylabel('Cohesive energy (meV)') \n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit energy as a function of epitaxial strain for different interface orientiations\n", "This part may take a few minutes to run." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def get_scaled_atoms(structure, G, scale_parallel, scale_perpendicular):\n", " \"\"\"\n", " Prepare structure that is scaled along G,\n", " as well as perpendicular to G. This function assumes\n", " an initially cubic symmetry, so we do not need to make a distinction\n", " between real and reciprocal space for the definition of G.\n", " \"\"\"\n", " # Choose direction G (cubic, so no need to distinguish\n", " # reciprocal and real lattice vectors)\n", " G = [float(i) for i in G]\n", " G = np.array(G)\n", " G /= np.linalg.norm(G)\n", "\n", " # Find two vectors that are perpendicular to that direction\n", " Gp1 = np.array([9., 8., 0.])\n", " Gp1[2] = - np.dot(Gp1, G) / G[2]\n", " Gp1 = Gp1 / np.linalg.norm(Gp1)\n", " assert abs(np.dot(Gp1, G) < 1e-6)\n", " Gp2 = np.cross(G, Gp1)\n", "\n", " # Now scale the cell such that the G vectors get the desired length\n", " C = structure.cell.T\n", " X = np.array([G, Gp1, Gp2]).T\n", " Xp = np.array([scale_parallel * G,\n", " scale_perpendicular * Gp1,\n", " scale_perpendicular * Gp2]).T\n", "\n", " Cp = np.dot(np.dot(Xp, np.linalg.inv(X)), C)\n", "\n", " structure_new = structure.copy()\n", " structure_new.set_cell(Cp.T, scale_atoms=True)\n", " return structure_new" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(\n", " ncols=2,\n", " figsize=(6, 4),\n", " dpi=120,\n", " sharey=True,\n", ")\n", "colors = [i['color'] for i in plt.rcParams['axes.prop_cycle']]\n", "\n", "# We will scale the cell perpendicular to the interface normal G\n", "npoints = 11\n", "scale_perps = {'Ag': np.linspace(a_calculated['Cu'] / a_calculated['Ag'], 1.01, npoints),\n", " 'Cu': np.linspace(0.99, a_calculated['Ag'] / a_calculated['Cu'], npoints)}\n", "\n", "# We will eventually save polynomial fits with\n", "# energy as a function of epitaxial strain perpendicular to\n", "# the following G vectors\n", "Gs = [(0, 0, 1), (1, 1, 1), (0, 1, 1), (2, 0, 1), (2, 2, 1), (3, 1, 1)]\n", "epitaxial_fits = {G: {el: [] for el in elements} for G in Gs}\n", "\n", "for element_i, element in enumerate(elements):\n", " ax = axes[element_i]\n", " a0 = a_calculated[element]\n", " \n", " for G_i, G in enumerate(Gs):\n", " a_epi = []\n", " E_epi = []\n", " for scale_perp in scale_perps[element]:\n", " # For each \"perpendicular straining\", we want to find the\n", " # equilibrium in terms of straining in the direction parallel\n", " # to the interface normal.\n", " # These limits are arbitrary but turned out to work OK.\n", " scale_pars = np.linspace(1 / scale_perp**0.8 - 0.12,\n", " 1 / scale_perp**0.8 + 0.12,\n", " npoints)\n", " energies = []\n", " for scale_par in scale_pars:\n", " structure = bulk(element, a=a0, crystalstructure='fcc')\n", " structure_scaled = get_scaled_atoms(structure, G=G,\n", " scale_parallel=scale_par,\n", " scale_perpendicular=scale_perp)\n", " structure_scaled.calc = calc\n", " energy = structure_scaled.get_potential_energy()\n", " energies.append(energy)\n", " pfit = np.polyfit(a0 * scale_pars, energies, deg=3)\n", " poly = np.poly1d(pfit)\n", " res = minimize(poly, x0=a0, bounds=[(a0 * scale_pars[0], a0 * scale_pars[-1])])\n", " a_epi.append(scale_perp * a0)\n", " E_min = poly(res.x[0])\n", " E_epi.append(E_min)\n", " \n", " # Now fit energy as a function of perpendicular strain\n", " pfit = np.polyfit(a_epi, E_epi, deg=5)\n", " poly = np.poly1d(pfit)\n", " \n", " # Ensure that the excess is 0 at equilibrium lattice parameter\n", " bounds = (min(a_epi), max(a_epi))\n", " res = minimize(poly, x0=np.average(bounds), bounds=[bounds])\n", " E_min = poly(res.x[0])\n", " pfit[-1] = pfit[-1] - E_min\n", "\n", " epitaxial_fits[G][element] = pfit\n", " \n", " # Plot it\n", " scale_plot = np.linspace(0.99*min(scale_perps[element]), 1.01 * max(scale_perps[element]))\n", " conv = 1e3\n", " ax.plot(a0 * scale_plot, conv * np.poly1d(pfit)(a0 * scale_plot), label=G, color=colors[G_i])\n", " ax.plot(a_epi, conv * (np.array(E_epi) - E_min), 'o', color=colors[G_i])\n", "\n", " ax.set_title(element)\n", " ax.set_ylim([conv * -0.003, conv * 0.15])\n", " ax.legend()\n", "\n", "axes[0].set_xlabel('Perpendicular lattice parameter (Å)', x=1)\n", "axes[0].set_ylabel('Excess energy (meV)')\n", "\n", "fig.tight_layout()\n", "fig.subplots_adjust(wspace=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit energy as a function of concentration using Redlich-Kister polynomials" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def E_CS(a, x, epitaxials):\n", " \"\"\"\n", " Returns energy of linear combination of phases\n", " epitaxially strained to lattice constant a.\n", " \"\"\"\n", " return (1 - x) * np.poly1d(epitaxials['Ag'])(a) + x * np.poly1d(epitaxials['Cu'])(a)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(\n", " figsize=(4, 3.5),\n", " dpi=120,\n", ")\n", "\n", "# Prepare a file to store R-K coefficents.\n", "f = open('constituent-strain-RK-parameters.data', 'w')\n", "f.write('# Col 1-3: G vector\\n')\n", "f.write('# Col 4-: Redlich-Kister coefficients\\n')\n", "\n", "concentrations = np.linspace(0, 1, 51)\n", "\n", "for G_i, G in enumerate(epitaxial_fits):\n", " E_CS_eq = []\n", " for c in concentrations:\n", " # For each G and concentration, find the minimum energy by\n", " # minimizing over perpendicular lattice constant\n", " guess = c * a_calculated['Cu'] + (1 - c) * a_calculated['Ag']\n", " res = minimize(E_CS, x0=guess, args=(c, epitaxial_fits[G]),\n", " bounds=[(a_calculated['Cu'], a_calculated['Ag'])])\n", " E_min = E_CS(res.x[0], c, epitaxial_fits[G])\n", " E_CS_eq.append(E_min)\n", "\n", " # Fit Redlich-Kister polynomial to the resulting minimizing energies\n", " L, _ = curve_fit(redlich_kister_vector, np.array(concentrations),\n", " np.array(E_CS_eq).ravel(), p0=[1.0] * 5)\n", " \n", " # Write results for this G to file\n", " f.write('{:2d} {:2d} {:2d} '.format(*G))\n", " for l in L:\n", " f.write(' {:15.9f}'.format(l))\n", " f.write('\\n')\n", " \n", " # Plot\n", " conv = 1e3\n", " ax.plot(concentrations, conv * np.array(E_CS_eq), label=G, color=colors[G_i])\n", " ax.plot(concentrations, conv * redlich_kister_vector(concentrations, *L), ':', color=colors[G_i])\n", "\n", "f.close()\n", " \n", "ax.legend()\n", "ax.set_xlabel('Cu concentration')\n", "ax.set_ylabel('Constituent strain energy (meV/atom)')\n", "\n", "fig.tight_layout()\n", "fig.subplots_adjust(wspace=0)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def _fit_cs_functions(cs_functions):\n", " \"\"\"\n", " Make a polynomial fit of Redlich-Kister parameters on the\n", " stereographic projection of the first Brillouin zone of FCC.\n", " \"\"\"\n", " A = []\n", " y = []\n", " for orientation, parameters in cs_functions.items():\n", " projection = _get_projection(orientation)\n", " A.append(_get_xy_vector(*projection))\n", " y.append(parameters)\n", "\n", " rk_fit, _, _, _ = np.linalg.lstsq(A, y, rcond=None)\n", " return rk_fit\n", "\n", "\n", "def _get_projection(orientation):\n", " \"\"\"\n", " Stereographic projection of the orientation of an interface.\n", " Assumes cubic symmetry.\n", " \"\"\"\n", " orientation = np.array(sorted(np.abs(orientation)))\n", " orientation = orientation / np.linalg.norm(orientation)\n", " return orientation[:2]\n", "\n", "\n", "def _get_xy_vector(x, y, deg=2):\n", " \"\"\"\n", " 2D polynomial of degree `deg`\n", " \"\"\"\n", " vector = []\n", " for i, j in itertools.product(range(deg + 1), repeat=2):\n", " if i + j > deg:\n", " continue\n", " vector.append(x**i * y**j)\n", " return vector\n", "\n", "\n", "def k_to_parameter_function(k, cs_fitted_rk_parameters):\n", " \"\"\"\n", " Calculate strain energy at a specific concentration and k point\n", " using constitutent_strain_functions as fitted with\n", " _fit_cs_parameters.\n", " \"\"\"\n", " projection = _get_projection(k)\n", " vector = _get_xy_vector(*projection)\n", " parameters = np.dot(vector, cs_fitted_rk_parameters)\n", " return parameters\n", "\n", "# Define functions for converting k point and concentration to strain\n", "def my_k_to_parameter_function(k): return k_to_parameter_function(k, cs_fitted_rk_parameters)\n", "def my_strain_energy_function(parameters, c): return redlich_kister(c, *parameters)" ] } ], "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 4 }