{ "cells": [ { "cell_type": "markdown", "id": "f9b46d2f-1ea1-4308-b4dc-1f3dd818fda9", "metadata": {}, "source": [ "# Creating common geometries\n", "## Importing sisl\n", "\n", "Import the `sisl` package and start working with it. \n", "To ensure there is no clashes with other packages we encourage users to stick with the same short-hand name. The `sisl`-developers recommends using `si`. In all of `sisl` documentation it is assumed that `si` refers to `sisl`.\n", "\n", "An important aspect of `sisl` is the units used:\n", "\n", "- Ångstrøm [Ang]\n", "- Electron volt [eV]" ] }, { "cell_type": "code", "execution_count": null, "id": "a9f8c081-1548-4247-83d9-82d01f355808", "metadata": {}, "outputs": [], "source": [ "import sisl as si\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "1cb92c41-a795-4cf6-93b3-f9e7431a944e", "metadata": {}, "source": [ "## Creating a geometry\n", "\n", "`sisl` provides a broad set of methods to create [default geometries](../../api/geom/building.rst). There are `fcc`, `bcc`, `sc`, `graphene` and many other default geometries available. \n", "The default geometry creations are found in the [sisl.geom](../../api/geom/building.rst) module, (for additional details check out ``help(si.geom)``).\n", "\n", "------\n", "\n", "Our focus here will be to create an FCC lattice of iron." ] }, { "cell_type": "code", "execution_count": null, "id": "00a3fd65-a0a1-407f-8a69-50a3f53b38b2", "metadata": {}, "outputs": [], "source": [ "iron = si.geom.fcc(2.4, si.Atom(\"Fe\"))" ] }, { "cell_type": "markdown", "id": "f582b010-df90-45b4-a765-65ed0ad11c9c", "metadata": {}, "source": [ "There is lots of information one can retrieve from the geometry, such as:\n", "\n", "- lattice vectors\n", "- number of atoms and orbitals\n", "- atomic species\n", "\n", "Try and extract the above information:" ] }, { "cell_type": "code", "execution_count": null, "id": "de0dd680-8c54-4b54-85ce-a9e638a9fc4c", "metadata": {}, "outputs": [], "source": [ "print(\"All lattice vectors:\")\n", "print(iron.lattice.cell)\n", "c = iron.lattice.cell[2]\n", "print(f\"lattice vector c = {c}\")\n", "print(f\"iron has {iron.na} atoms and {iron.no} orbitals\")\n", "print(f\"iron's only atom has the atomic number {iron.atoms[0].Z}\")" ] }, { "cell_type": "markdown", "id": "97dd3c7a-fdc2-4098-8200-b4a0f3ccb063", "metadata": {}, "source": [ "Let us print out the geometry and see for additional information:" ] }, { "cell_type": "code", "execution_count": null, "id": "db3f3e59-bbed-4004-8d7f-b8f71b136dbd", "metadata": {}, "outputs": [], "source": [ "print(iron)" ] }, { "cell_type": "markdown", "id": "65e15a95-ea3d-4a6f-bce6-539b1f660a7d", "metadata": {}, "source": [ "This shows a greater detail of the geometry.\n", "- it shows there is 1 atom (`na: 1`), and 1 orbital (`no: 1`)\n", "- a complete list of atoms (`Atoms{...}`), their atomic number, mass and associated orbitals\n", "- the associated `Lattice` object describes the lattice vectors, and which lattice vectors uses periodicity\n", "\n", "----\n", "\n", "The geometry also has associated coordinates of the atomic structure, these can be accessed through the `.xyz` attribute:" ] }, { "cell_type": "code", "execution_count": null, "id": "cde448b3-e410-4a75-b223-6a3a1e3d04f9", "metadata": {}, "outputs": [], "source": [ "iron.xyz" ] }, { "cell_type": "markdown", "id": "e8e31626-67f7-4f70-a2a4-1668bc1a3114", "metadata": {}, "source": [ "In this case there is only 1 atom, and its position is at the origin.\n", "\n", "Let us try and do a little more complicated structure, say graphene." ] }, { "cell_type": "code", "execution_count": null, "id": "b2a42f9d-ee08-4fab-b6d0-c3b460eefb01", "metadata": {}, "outputs": [], "source": [ "graphene = si.geom.graphene()\n", "print(graphene)" ] }, { "cell_type": "code", "execution_count": null, "id": "186d274a-67b4-406b-a4f5-9f58a9ecc2e5", "metadata": {}, "outputs": [], "source": [ "graphene.xyz" ] }, { "cell_type": "markdown", "id": "ba9e548d-96be-4ea9-9e4f-919932a567da", "metadata": {}, "source": [ "Note how the changed output looks, we now have 2 atoms, but the atom is not duplicated, instead we share a reference (to minimize memory requirement).\n", "\n", "The atomic coordinates here signals the two positions, and it is obvious that the default bond-length for graphene is defined to be $1.42$." ] }, { "cell_type": "markdown", "id": "9aeab656-1f81-44f2-98c9-7cfa4b51391b", "metadata": {}, "source": [ "#### Other default geometries\n", "\n", "There are many other implicit geometries available in `sisl` which can be found [here](../../api/geom/building.rst).\n", "These can be used to generalize and construct geometries on the fly, in a simply and efficient manner." ] }, { "cell_type": "markdown", "id": "49443b5d-a17b-4643-ba20-f0121c64f773", "metadata": {}, "source": [ "### Defining atoms\n", "\n", "The geometries will accept an argument `atoms=` where you can define the atoms in the geometry.\n", "We already did this in the `fcc` system where we defined the atom `si.Atom(\"Fe\")`. \n", "Lets delve into the [Atom](../../api/generated/sisl.Atom.rst) object." ] }, { "cell_type": "code", "execution_count": null, "id": "27d9caa7-81c2-4acf-b3a8-ffc93143999b", "metadata": {}, "outputs": [], "source": [ "help(si.Atom)" ] }, { "cell_type": "markdown", "id": "3539103b-20d6-4ead-8db3-63ddf9044487", "metadata": {}, "source": [ "Here we create an `fcc` lattice made up of Deuterium atoms" ] }, { "cell_type": "code", "execution_count": null, "id": "b3330504-5a71-4609-a8ca-55d70cc0770a", "metadata": {}, "outputs": [], "source": [ "D = si.Atom(1, mass=2.014)\n", "fcc_D = si.geom.fcc(1.42, atoms=D)\n", "print(fcc_D)" ] }, { "cell_type": "markdown", "id": "244c95e7-e4a3-4d5d-9de6-dda2ec6708b7", "metadata": {}, "source": [ "Another example would be to create a bilayer structure with 2 different atoms (say graphene below hBN)" ] }, { "cell_type": "code", "execution_count": null, "id": "7cb48c7a-51b7-459c-9627-a03edf2b71d8", "metadata": {}, "outputs": [], "source": [ "C = si.Atom(\"C\")\n", "B = si.Atom(\"B\")\n", "N = si.Atom(\"N\")\n", "hBN = si.geom.bilayer(1.45, bottom_atoms=C, top_atoms=[B, N])\n", "print(hBN)" ] }, { "cell_type": "markdown", "id": "ca3fdf01-537a-4d4a-8a14-cea0f3b12799", "metadata": {}, "source": [ "This concludes a quick tutorial on how to create a predefined geometry and how to define the atoms in it." ] } ], "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 5 }