diff --git a/doc/notebooks/Periodic_Grid.ipynb b/doc/notebooks/Periodic_Grid.ipynb new file mode 100644 index 00000000..6d54a1f6 --- /dev/null +++ b/doc/notebooks/Periodic_Grid.ipynb @@ -0,0 +1,151 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Evaluation of a function in a periodic grid\n", + "\n", + "This example illustrates how to evaluate a function in a periodic grid. In this case, the interaction of an atomic nucleus with the electron density of the crystal is evaluated. In this case the electron density of the unit cell is treated as periodic.\n", + "\n", + "### Defining the grid describing the unit cell\n", + "\n", + "A uniform grid using Grid is defined with the points for which the electron density was returned by GPAW." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of electrons in the cell (from GPAW): 112.0000033428932\n", + "Number of electrons in the cell (using Riemannian weights): 112.0000033428934\n", + "The GPAW integration corresponds to the standard Rieman Integral\n", + "\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "from grid.cubic import UniformGrid\n", + "from grid.periodicgrid import PeriodicGrid\n", + "from gpaw import restart\n", + "from ase.units import Bohr\n", + "\n", + "NaCl, calculator = restart('nacl.gpw', txt=None)\n", + "\n", + "# get atomic coordinates and numbers\n", + "atnums = NaCl.get_atomic_numbers() \n", + "atcoords = NaCl.get_positions(wrap=True) / Bohr \n", + "\n", + "# set grid refinement factor for computing the electron density grid\n", + "gridrefinement = 1\n", + "# calculate the electron density (GPAW)\n", + "density=calculator.get_all_electron_density(gridrefinement=gridrefinement)\n", + "# compute reference charge (GPAW)\n", + "dv = NaCl.get_volume() / calculator.get_number_of_grid_points().prod() # volume element\n", + "cell_charge = density.sum() * dv / gridrefinement**3\n", + "print(\"Number of electrons in the cell (from GPAW):\", cell_charge)\n", + "\n", + "\n", + "# get grid uniform grid axes\n", + "cellvects=calculator.density.gd.cell_cv # cell vectors\n", + "shape = np.array(density.shape) # shape of the density array\n", + "axes = cellvects / shape # axes of the density array\n", + "\n", + "density_au = density.flatten() * (Bohr**3) # flatten density and convert to atomic units\n", + "\n", + "# create a grid object (UniformGrid) with the standard Riemannian weights\n", + "grid_st = UniformGrid(origin=np.zeros(3), axes=axes, shape=shape, weight=\"Rectangle\")\n", + "\n", + "print(\"Number of electrons in the cell (using Riemannian weights):\", grid_st.integrate(density_au))\n", + "print(\"The GPAW integration corresponds to the standard Rieman Integral\\n\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Evaluating the periodic property\n", + "\n", + "With the uniform grid a periodic grid can be constructed where the electron density (any property) can be projected outside the unit cell boundaries. In the following example, several cuttoff radii are used to project the electron density outside the unit cell boundaries (and withing the sphere defined by the cutoff radius). Here the electron density is plotted for the points along the x-axis (the y and z coordinates are set to zero) for the different cutoff radii." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "origin = np.array([0.0, 0.0, 0.0])\n", + "\n", + "# create a grid object (PeriodicGrid) with the electron density\n", + "pgrid = PeriodicGrid(points=grid_st.points, weights=grid_st.weights, realvecs=cellvects)\n", + "\n", + "data = {}\n", + "for rad in 3 * np.arange(1, 7):\n", + " # get local grid with radius of i Bohr and center displaced by a small amount from the atom\n", + " localgrid = pgrid.get_localgrid(origin,rad)\n", + " # get density values for the points in the local grid\n", + " local_density = density_au[localgrid.indices]\n", + " # get local indices of points where y = 0 and z = 0\n", + " x_indices = (localgrid.points[:, 1] == 0) & (localgrid.points[:, 2] == 0)\n", + " # get the x coordinates of the points where y = 0 and z = 0\n", + " x = localgrid.points[x_indices][:, 0]\n", + " # get the density values at the points where y = 0 and z = 0\n", + " local_density_x = local_density[x_indices]\n", + " data[rad] = np.array([x, local_density_x])\n", + "\n", + "\n", + "# plot the density along the x-axis for different radii\n", + "import matplotlib.pyplot as plt\n", + "fig, axs = plt.subplots(6, 1, sharex=True, figsize=(8, 12))\n", + "# Remove horizontal space between axes\n", + "fig.subplots_adjust(hspace=0.1)\n", + "for ax, rad in zip(axs, data.keys()):\n", + " x_vals = sorted(data[rad][0])\n", + " density_vals = data[rad][1][np.argsort(data[rad][0])]\n", + " ax.plot(x_vals, density_vals, label=f\"r = {rad} Bohr\")\n", + " ax.scatter(x_vals, density_vals, s=10)\n", + " ax.set_ylabel(\"Density [a.u.]\")\n", + " ax.legend()\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "grid_env", + "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": 2 +} diff --git a/doc/notebooks/nacl.gpw b/doc/notebooks/nacl.gpw new file mode 100644 index 00000000..c68ef302 Binary files /dev/null and b/doc/notebooks/nacl.gpw differ