{ "cells": [ { "cell_type": "markdown", "id": "da75b24d-e772-46ab-84a5-9aff8d61333c", "metadata": {}, "source": [ "## Band structure for ferromagnetic iron with Quantum ESPRESSO\n", "\n", "For band structures, **always** use the **primitive unit cell**.\n", "\n", "### Primitive unit cell of Fe" ] }, { "cell_type": "code", "execution_count": 4, "id": "50eb5dec-0c9f-4b74-afbc-bfa08f8659a1", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scm.base import ChemicalSystem\n", "from scm.plams import view\n", "\n", "d = 1.435\n", "cs = ChemicalSystem(\n", " f\"\"\"\n", "System\n", " Atoms\n", " Fe 0.0 0.0 0.0\n", " End\n", " Lattice\n", " {-d} {d} {d}\n", " {d} {-d} {d}\n", " {d} {d} {-d}\n", " End\n", "End\"\"\"\n", ")\n", "cs.guess_bonds() # does not affect the Quantum ESPRESSO DFT engine, just for visualization\n", "view(cs, width=150, height=150)" ] }, { "cell_type": "markdown", "id": "15a23ac8-1c9c-4df3-80a0-b72e1471b235", "metadata": {}, "source": [ "### Set up PBE band structure calculation with Quantum ESPRESSO" ] }, { "cell_type": "code", "execution_count": 5, "id": "7a1440ca-2ffe-47d4-9e4e-d7442be0e7fa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[09.02|16:58:07] JOB ferromagnetic-Fe STARTED\n", "[09.02|16:58:07] JOB ferromagnetic-Fe RUNNING\n", "[09.02|16:58:20] JOB ferromagnetic-Fe FINISHED\n", "[09.02|16:58:20] JOB ferromagnetic-Fe SUCCESSFUL\n" ] } ], "source": [ "from scm.plams import Settings, AMSJob\n", "\n", "s = Settings()\n", "s.input.ams.Task = \"SinglePoint\"\n", "s.input.QuantumESPRESSO = Settings()\n", "s.input.QuantumESPRESSO.BandStructure.K_Points._h = \"ams_kpath\"\n", "s.input.QuantumESPRESSO.BandStructure.K_Points._1 = \"\"\n", "s.input.QuantumESPRESSO.DOS.PDOS = \"True\"\n", "s.input.QuantumESPRESSO.K_Points._h = \"automatic\"\n", "s.input.QuantumESPRESSO.K_Points._1 = \"8 8 8 0 0 0\"\n", "s.input.QuantumESPRESSO.Properties.BandStructure = \"True\"\n", "s.input.QuantumESPRESSO.Properties.DOS = \"True\"\n", "s.input.QuantumESPRESSO.Pseudopotentials.Family = \"pslibrary-US\"\n", "s.input.QuantumESPRESSO.Pseudopotentials.Functional = \"PBE\"\n", "s.input.QuantumESPRESSO.System.degauss = \"0.01\"\n", "s.input.QuantumESPRESSO.System.ecutwfc = \"50.0\"\n", "s.input.QuantumESPRESSO.System.nspin = \"Collinear\"\n", "s.input.QuantumESPRESSO.System.occupations = \"Smearing\"\n", "s.input.QuantumESPRESSO.System.starting_magnetization = [Settings()]\n", "s.input.QuantumESPRESSO.System.starting_magnetization[0].Label = \"Fe\"\n", "s.input.QuantumESPRESSO.System.starting_magnetization[0].Value = \"1.0\"\n", "s.runscript.preamble_lines = [\"export SCM_DISABLE_MPI=1\"] # needed for Quantum ESPRESSO calculations with AMS\n", "s.runscript.postamble_lines = []\n", "\n", "job = AMSJob(settings=s, molecule=cs, name=\"ferromagnetic-Fe\")\n", "job.run();" ] }, { "cell_type": "markdown", "id": "8aa67f60-7465-42a1-9029-3d8db6f4d31e", "metadata": {}, "source": [ "### Get the band structure data and plot it" ] }, { "cell_type": "code", "execution_count": 10, "id": "1c704335-d0cc-48b3-a481-7e4f27ba824b", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scm.plams.tools.plot import plot_band_structure\n", "\n", "x, y_spin_up, y_spin_down, labels, fermi_energy = job.results.get_band_structure(unit=\"eV\")\n", "ax = plot_band_structure(x, y_spin_up, y_spin_down, labels, fermi_energy, zero=\"fermi\")\n", "\n", "ax.set_ylim(-10, 10)\n", "ax.set_ylabel(\"$E - E_{Fermi}$ (eV)\")\n", "ax.set_xlabel(\"Path\")\n", "ax.set_title(\"Ferromagnetic iron with PBE and Quantum ESPRESSO\")\n", "ax;" ] } ], "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": "3.8.12" } }, "nbformat": 4, "nbformat_minor": 5 }