{ "cells": [ { "cell_type": "markdown", "id": "463db78b-09e8-4791-b3c9-22d9cc1413bc", "metadata": {}, "source": [ "## Band structure with the hybrid HSE06 functional with BAND DFT\n", "\n", "Hybrid functionals often give a better band gap than semilocal functionals.\n", "\n", "For band structures **always** use the **primitive unit cell**. Here we build the primitive unit cell of diamond:" ] }, { "cell_type": "markdown", "id": "0a4132d3-9c4b-4523-a14e-f48aaabb3c1f", "metadata": {}, "source": [ "### Primitive unit cell of diamond" ] }, { "cell_type": "code", "execution_count": 9, "id": "627b255b-1b4b-49ff-ac30-cda3ce07bb32", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scm.base import ChemicalSystem\n", "from scm.plams import view\n", "\n", "\n", "d = 1.785\n", "cs = ChemicalSystem(\n", " f\"\"\"\n", "System\n", " Atoms\n", " C 0 0 0\n", " C {d/2} {d/2} {d/2}\n", " End\n", " Lattice\n", " 0.0 {d} {d}\n", " {d} 0.0 {d}\n", " {d} {d} 0.0\n", " End\n", "End\"\"\"\n", ").make_primitive_cell()\n", "# here make_primitive_cell() is unnecessary because it is already the primitive cell\n", "# note that make_primitive_cell() may change the coordinates and lattice vectors even if the cell is already primitive\n", "\n", "cs.guess_bonds() # does not affect BAND DFT calculation, just for visualization\n", "view(cs, width=150, height=150) # visualize in Jupyter notebook" ] }, { "cell_type": "markdown", "id": "7b050e2c-7ab6-4226-8ea2-cace26cfc582", "metadata": {}, "source": [ "### HSE06 settings for the BAND engine" ] }, { "cell_type": "markdown", "id": "3961dd38-db14-4881-84cd-bf64da6ed485", "metadata": {}, "source": [ "Set up the DFT settings for HSE06 with BAND and calculate the band structure:" ] }, { "cell_type": "code", "execution_count": 11, "id": "97e9bd6f-c172-432c-807e-c2e2a80a8b6c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[09.02|16:26:55] JOB diamond-hse06 STARTED\n", "[09.02|16:26:55] JOB diamond-hse06 RUNNING\n", "[09.02|16:31:10] JOB diamond-hse06 FINISHED\n", "[09.02|16:31:10] JOB diamond-hse06 SUCCESSFUL\n" ] } ], "source": [ "from scm.plams import Settings, AMSJob\n", "\n", "s = Settings()\n", "s.input.ams.Task = \"SinglePoint\"\n", "s.input.band.XC.libxc = \"hse06\" # hse06 functional from libxc\n", "s.input.band.Basis.Core = \"None\" # no frozen core\n", "s.input.band.Basis.Type = \"DZ\" # very small basis set, make larger for production\n", "s.input.band.NumericalQuality = \"Basic\" # improve for production\n", "s.input.band.KSPace.Regular.NumberOfPoints = \"3 3 3\" # improve for production\n", "s.input.band.BandStructure.Enabled = \"Yes\"\n", "\n", "job = AMSJob(settings=s, molecule=cs, name=\"diamond-hse06\")\n", "job.run();" ] }, { "cell_type": "markdown", "id": "d84f377c-834f-4515-8a25-d3e286da56b7", "metadata": {}, "source": [ "### Get band structure data from results and plot them" ] }, { "cell_type": "code", "execution_count": 14, "id": "d67973e1-0168-48b5-b6a0-378a7351cae2", "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=\"vbmax\")\n", "\n", "ax.set_ylim(-10, 10)\n", "ax.set_ylabel(\"$E - E_{VBM}$ (eV)\")\n", "ax.set_xlabel(\"Path\")\n", "ax.set_title(\"Diamond with HSE06\")\n", "ax;" ] }, { "cell_type": "markdown", "id": "dbcc18dc-b169-4207-bccd-6a9ea6fef4ba", "metadata": {}, "source": [ "Extract the VBM and CBM. Important note: These values are taken from the self-consistent field calculation and the k-points used there, not the band structure calculation!" ] }, { "cell_type": "code", "execution_count": 16, "id": "cd546286-c62e-4747-a972-14ae32252a06", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Valence band maximum: vbm=-5.18 eV\n", "Conduction band minimum: cbm=-0.18 eV\n", "Band gap: gap=5.01 eV\n" ] } ], "source": [ "from scm.base import Units\n", "\n", "ha2ev = Units.conversion_factor(\"hartree\", \"eV\")\n", "\n", "try:\n", " vbm = ha2ev * job.results.readrkf(\"BandStructure\", \"TopValenceBand\", file=\"engine\")\n", " cbm = ha2ev * job.results.readrkf(\"BandStructure\", \"BottomConductionBand\", file=\"engine\")\n", " gap = cbm - vbm\n", " print(f\"Valence band maximum: {vbm=:.2f} eV\")\n", " print(f\"Conduction band minimum: {cbm=:.2f} eV\")\n", " print(f\"Band gap: {gap=:.2f} eV\")\n", "except KeyError:\n", " print(\"Couldn't extract VBM and CBM\")" ] }, { "cell_type": "markdown", "id": "6dcc4d78-37f6-445d-a90a-f85e1f27f24a", "metadata": {}, "source": [ "## Spin-polarized (unrestricted) band structures with BAND DFT\n", "\n", "If you perform a spin-polarized calculation you get both spin-up and spin-down bands. Below a spin-polarized DFT+U calculation on NiO is performed together with the BAND DFT engine.\n", "\n", "For band structures **always** use the **primitive unit cell**. Here we build the primitive unit cell of NiO.\n", "\n", "### Primitive unit cell of NiO" ] }, { "cell_type": "code", "execution_count": 17, "id": "0b7e1dd2-9654-4907-a59b-cb99db6a49ac", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scm.base import ChemicalSystem\n", "from scm.plams import view\n", "\n", "d = 2.085\n", "cs = ChemicalSystem(\n", " f\"\"\"\n", "System\n", " Atoms\n", " Ni 0.0 0.0 0.0\n", " O {d} {d} {d}\n", " End\n", " Lattice\n", " 0.0 {d} {d}\n", " {d} 0.0 {d}\n", " {d} {d} 0.0\n", " End\n", "End\"\"\"\n", ").make_primitive_cell()\n", "cs.guess_bonds() # does not affect BAND DFT calculation, just for visualization\n", "view(cs, direction=\"along_z\", width=150, height=150, show_atom_labels=True)" ] }, { "cell_type": "markdown", "id": "d61df511-8859-4baf-a905-9ccd5125ae57", "metadata": {}, "source": [ "### DFT+U settings with spin polarization (unrestricted)" ] }, { "cell_type": "markdown", "id": "b25b8f2b-7099-411a-a5a4-b159709daca4", "metadata": {}, "source": [ "Next, set up the DFT+U settings for a SinglePoint calculation with band structure:" ] }, { "cell_type": "code", "execution_count": 18, "id": "f9134a37-a387-413a-a2b1-2d2c91ec0869", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[09.02|16:34:20] JOB NiO STARTED\n", "[09.02|16:34:20] JOB NiO RUNNING\n", "[09.02|16:34:58] JOB NiO FINISHED\n", "[09.02|16:34:58] JOB NiO SUCCESSFUL\n" ] } ], "source": [ "from scm.plams import Settings, AMSJob\n", "\n", "s = Settings()\n", "s.input.ams.Task = \"SinglePoint\"\n", "s.input.band.Unrestricted = \"Yes\"\n", "s.input.band.XC.GGA = \"BP86\"\n", "s.input.band.Basis.Type = \"DZ\"\n", "s.input.band.NumericalQuality = \"Basic\"\n", "s.input.band.HubbardU.Atom = [\n", " Settings(Element=\"Ni\", UValue=0.6, LValue=\"d\"), # UValue in hartree\n", " # Settings(....) for other elements if needed\n", "]\n", "s.input.band.BandStructure.Enabled = \"Yes\"\n", "\n", "job = AMSJob(settings=s, molecule=cs, name=\"NiO\")\n", "job.run();" ] }, { "cell_type": "markdown", "id": "493ab6a2-c2e4-4403-ae01-1d3c916e384a", "metadata": {}, "source": [ "### Get the band structure data and plot" ] }, { "cell_type": "code", "execution_count": 19, "id": "e22dcc96-5a3b-47eb-8f19-f31f76744b7d", "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=\"vbmax\")\n", "\n", "ax.set_ylim(-10, 10)\n", "ax.set_ylabel(\"$E - E_{VBM}$ (eV)\")\n", "ax.set_xlabel(\"Path\")\n", "ax.set_title(\"NiO with DFT+U\")\n", "ax;" ] }, { "cell_type": "markdown", "id": "9f108059-a8c9-446f-87ba-560c727c621a", "metadata": {}, "source": [ "Extract the VBM and CBM. Important note: These values are taken from the self-consistent field calculation and the k-points used there, not the band structure calculation!" ] }, { "cell_type": "code", "execution_count": 20, "id": "b0f23792-fbeb-4d9e-bb07-eab8451ef4b8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Valence band maximum: vbm=-6.31 eV\n", "Conduction band minimum: cbm=-4.36 eV\n", "Band gap: gap=1.95 eV\n" ] } ], "source": [ "from scm.base import Units\n", "\n", "ha2ev = Units.conversion_factor(\"hartree\", \"eV\")\n", "\n", "try:\n", " vbm = ha2ev * job.results.readrkf(\"BandStructure\", \"TopValenceBand\", file=\"engine\")\n", " cbm = ha2ev * job.results.readrkf(\"BandStructure\", \"BottomConductionBand\", file=\"engine\")\n", " gap = cbm - vbm\n", " print(f\"Valence band maximum: {vbm=:.2f} eV\")\n", " print(f\"Conduction band minimum: {cbm=:.2f} eV\")\n", " print(f\"Band gap: {gap=:.2f} eV\")\n", "except KeyError:\n", " print(\"Couldn't extract VBM and CBM\")" ] } ], "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 }