<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <title>DFT Functionals — PSI4 [] documentation</title> <link rel="stylesheet" href="_static/psi4.css" type="text/css" /> <link rel="stylesheet" href="_static/pygments.css" type="text/css" /> <link rel="stylesheet" href="#" type="text/css" /> <script type="text/javascript"> var DOCUMENTATION_OPTIONS = { URL_ROOT: '', VERSION: '', COLLAPSE_INDEX: false, FILE_SUFFIX: '.html', HAS_SOURCE: true }; </script> <script type="text/javascript" src="_static/jquery.js"></script> <script type="text/javascript" src="_static/underscore.js"></script> <script type="text/javascript" src="_static/doctools.js"></script> <script type="text/javascript" src="_static/jquery.cookie.js"></script> <script type="text/javascript" src="_static/toggle_sections.js"></script> <script type="text/javascript" src="_static/toggle_sidebar.js"></script> <script type="text/javascript" src="_static/toggle_codeprompt.js"></script> <link rel="top" title="PSI4 [] documentation" href="index.html" /> <link rel="up" title="Appendices" href="appendices.html" /> <link rel="next" title="<no title>" href="autodoc_dft_all.html" /> <link rel="prev" title="<no title>" href="autodoc_testsuite_corepsi4.html" /> </head> <body> <div class="relbar-top"> <div class="related"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="genindex.html" title="General Index" accesskey="I">index</a></li> <li class="right" > <a href="py-modindex.html" title="Python Module Index" >modules</a> </li> <li class="right" > <a href="contents.html" title="Table Of Contents" accesskey="C">toc</a> </li> <li class="right" > <a href="autodoc_dft_all.html" title="<no title>" accesskey="N">next</a> </li> <li class="right" > <a href="autodoc_testsuite_corepsi4.html" title="<no title>" accesskey="P">previous</a> </li> <li><a href="index.html">PSI4 []</a> » </li> <li><a href="appendices.html" accesskey="U">Appendices</a> »</li> </ul> </div> </div> <div class="document"> <div class="documentwrapper"> <div class="bodywrapper"> <div class="body"> <img alt="PSI4 Project Logo" src="_images/psi4banner.png" style="width: 100%;" /> <div class="section" id="dft-functionals"> <span id="apdx-dftfunctionals"></span><span id="index-0"></span><h1>DFT Functionals<a class="headerlink" href="#dft-functionals" title="Permalink to this headline">¶</a></h1> <div class="toctree-wrapper compound"> </div> <div class="section" id="all-available"> <span id="table-dft-all"></span><h2>All Available<a class="headerlink" href="#all-available" title="Permalink to this headline">¶</a></h2> <table border="1" class="docutils"> <caption>DFT functionals available in PSI4</caption> <colgroup> <col width="8%" /> <col width="29%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="8%" /> <col width="8%" /> <col width="22%" /> </colgroup> <thead valign="bottom"> <tr class="row-odd"><th class="head">Name</th> <th class="head">Description</th> <th class="head">GGA?</th> <th class="head">Meta?</th> <th class="head">X_LRC?</th> <th class="head">X_Hybrid?</th> <th class="head">C_LRC?</th> <th class="head">C_Hybrid?</th> <th class="head">C_SCS? SS/OS</th> <th class="head">Dispersion?</th> <th class="head">Dispersion Description</th> </tr> </thead> <tbody valign="top"> <tr class="row-even"><td>B2PLYP</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B2PLYP-D</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>B2PLYP-D3</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B2PLYP-D3BJ</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B3LYP-CHG</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-CHG</td> <td>Chai and Head-Gordon Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP-D</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>B3LYP-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP-D3</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B3LYP-D3BJ</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>B3_X</td> <td>Becke88 GGA Exchange (B3LYP weighting)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B88_X</td> <td>Becke88 GGA Exchange</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>B97-0</td> <td>B97-0 Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.194300</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B97-1</td> <td>B97-1 Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.210000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>B97-2</td> <td>B97-2 Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.210000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B97-D</td> <td>B97-D Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>B97-D3</td> <td>B97-D Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B97-D3BJ</td> <td>B97-D Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>BLYP</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>BLYP-D</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>BLYP-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-odd"><td>BLYP-D3</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>BLYP-D3BJ</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>BP86</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>BP86-D</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>BP86-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-even"><td>BP86-D3</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>BP86-D3BJ</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>FT97</td> <td>FT97 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>FT97B_X</td> <td>Filitov and Theil 1997 Exchange</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>FT97_C</td> <td>FT97 Correlation (Involves Ei functions)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>HCTH</td> <td>HCTH Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>HCTH120</td> <td>HCTH120 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>HCTH120-D3</td> <td>HCTH120 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>HCTH120-D3BJ</td> <td>HCTH120 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>HCTH147</td> <td>HCTH147 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>HCTH407</td> <td>HCTH407 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>HF+D</td> <td> </td> <td>—</td> <td>—</td> <td>—</td> <td>1.000000</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2010</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-even"><td>LYP_C</td> <td>LYP Correlation</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>M05</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.280000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>M05-2X</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.560000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>M05-2X-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.560000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>M05-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.280000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>P86_C</td> <td>P86 Correlation (PZ81 LSDA + P86 GGA)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PBE</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PBE-D</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE-D1</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE-D3</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE-D3BJ</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE0</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PBE0-2</td> <td>PBE0-2 Double Hydrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.793701</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PBE0-D</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE0-D3</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE0-D3BJ</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBEA_C</td> <td>New Implementation of PBEC in wPBEc-sr.</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PBESOL_X</td> <td>PBEsol GGA Exchange Hole (Parameter Free)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PBE_C</td> <td>PBE Correlation</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PBE_X</td> <td>PBE GGA Exchange Hole (Parameter Free)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PW91</td> <td>PW91 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PW91_C</td> <td>PW91 Correlation</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PW91_X</td> <td>PW91 Parameterized GGA Exchange</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PW92A_C</td> <td>New Implementation of PW92C in wPBEc-sr.</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PW92_C</td> <td> </td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PZ81_C</td> <td>PZ81 Correlation</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>RPBE_X</td> <td>RPBE GGA Exchange Hole (Parameter Free)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>SOGGA</td> <td>Second Order GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>SOGGA_X</td> <td>Second Order GGA Exchange Hole (Parameter Free)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>SVWN</td> <td>SVWN3 (RPA) LSDA Functional</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>S_X</td> <td>Slater LSDA Exchange</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>VWN3RPA_C</td> <td>VWN3 (RPA) LSDA Correlation</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>VWN3_C</td> <td>VWN3 LSDA Correlation</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>VWN5RPA_C</td> <td>VWN5 (RPA) LSDA Correlation</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>VWN5_C</td> <td>VWN5 LSDA Correlation</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>dlDF</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>dlDF+D</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2010</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-odd"><td>dlDF+D09</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2009</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-even"><td>wB88_X</td> <td>B88 Short-Range GGA Exchange (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wB97</td> <td>Parameterized LRC B97 GGA XC Functional</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wB97X</td> <td>Parameterized Hybrid LRC B97 GGA XC Functional</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>0.157706</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wB97X-D</td> <td>Parameterized Hybrid LRC B97 GGA XC Functional with Dispersion</td> <td>Y</td> <td>—</td> <td>0.200000</td> <td>0.222036</td> <td>—</td> <td>—</td> <td>—</td> <td>-CHG</td> <td>Chai and Head-Gordon Dispersion Correction</td> </tr> <tr class="row-even"><td>wBLYP</td> <td>BLYP SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBE</td> <td>PBE SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBE0</td> <td>PBE0 SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBE2</td> <td>Double-Hybrid PBE LRC Functional</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBE_C</td> <td>Short-Range PBE Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBE_X</td> <td>PBE Short-Range GGA Exchange (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBEsol</td> <td>PBEsol SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBEsol0</td> <td>PBEsol0 SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBEsol_X</td> <td>PBEsol Short-Range GGA Exchange (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPW92_C</td> <td>Short-Range PW92 Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wSVWN</td> <td>LSDA SR-XC Functional</td> <td>—</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wS_X</td> <td>Slater Short-Range LSDA Exchange</td> <td>—</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> </tbody> </table> </div> <div class="section" id="gga"> <span id="table-dft-gga"></span><h2>GGA<a class="headerlink" href="#gga" title="Permalink to this headline">¶</a></h2> <table border="1" class="docutils"> <caption>GGA functionals available in PSI4</caption> <colgroup> <col width="8%" /> <col width="29%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="8%" /> <col width="8%" /> <col width="22%" /> </colgroup> <thead valign="bottom"> <tr class="row-odd"><th class="head">Name</th> <th class="head">Description</th> <th class="head">GGA?</th> <th class="head">Meta?</th> <th class="head">X_LRC?</th> <th class="head">X_Hybrid?</th> <th class="head">C_LRC?</th> <th class="head">C_Hybrid?</th> <th class="head">C_SCS? SS/OS</th> <th class="head">Dispersion?</th> <th class="head">Dispersion Description</th> </tr> </thead> <tbody valign="top"> <tr class="row-even"><td>B2PLYP</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B2PLYP-D</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>B2PLYP-D3</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B2PLYP-D3BJ</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B3LYP-CHG</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-CHG</td> <td>Chai and Head-Gordon Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP-D</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>B3LYP-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP-D3</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B3LYP-D3BJ</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>B3_X</td> <td>Becke88 GGA Exchange (B3LYP weighting)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B88_X</td> <td>Becke88 GGA Exchange</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>B97-0</td> <td>B97-0 Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.194300</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B97-1</td> <td>B97-1 Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.210000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>B97-2</td> <td>B97-2 Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.210000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B97-D</td> <td>B97-D Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>B97-D3</td> <td>B97-D Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B97-D3BJ</td> <td>B97-D Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>BLYP</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>BLYP-D</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>BLYP-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-odd"><td>BLYP-D3</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>BLYP-D3BJ</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>BP86</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>BP86-D</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>BP86-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-even"><td>BP86-D3</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>BP86-D3BJ</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>FT97</td> <td>FT97 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>FT97B_X</td> <td>Filitov and Theil 1997 Exchange</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>FT97_C</td> <td>FT97 Correlation (Involves Ei functions)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>HCTH</td> <td>HCTH Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>HCTH120</td> <td>HCTH120 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>HCTH120-D3</td> <td>HCTH120 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>HCTH120-D3BJ</td> <td>HCTH120 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>HCTH147</td> <td>HCTH147 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>HCTH407</td> <td>HCTH407 Pure-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>LYP_C</td> <td>LYP Correlation</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>M05</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.280000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>M05-2X</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.560000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>M05-2X-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.560000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>M05-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.280000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>P86_C</td> <td>P86 Correlation (PZ81 LSDA + P86 GGA)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PBE</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PBE-D</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE-D1</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE-D3</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE-D3BJ</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE0</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PBE0-2</td> <td>PBE0-2 Double Hydrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.793701</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PBE0-D</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE0-D3</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE0-D3BJ</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBEA_C</td> <td>New Implementation of PBEC in wPBEc-sr.</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PBESOL_X</td> <td>PBEsol GGA Exchange Hole (Parameter Free)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PBE_C</td> <td>PBE Correlation</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PBE_X</td> <td>PBE GGA Exchange Hole (Parameter Free)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PW91</td> <td>PW91 GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PW91_C</td> <td>PW91 Correlation</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PW91_X</td> <td>PW91 Parameterized GGA Exchange</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PW92A_C</td> <td>New Implementation of PW92C in wPBEc-sr.</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>RPBE_X</td> <td>RPBE GGA Exchange Hole (Parameter Free)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>SOGGA</td> <td>Second Order GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>SOGGA_X</td> <td>Second Order GGA Exchange Hole (Parameter Free)</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>dlDF</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>dlDF+D</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2010</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-even"><td>dlDF+D09</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2009</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-odd"><td>wB88_X</td> <td>B88 Short-Range GGA Exchange (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wB97</td> <td>Parameterized LRC B97 GGA XC Functional</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wB97X</td> <td>Parameterized Hybrid LRC B97 GGA XC Functional</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>0.157706</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wB97X-D</td> <td>Parameterized Hybrid LRC B97 GGA XC Functional with Dispersion</td> <td>Y</td> <td>—</td> <td>0.200000</td> <td>0.222036</td> <td>—</td> <td>—</td> <td>—</td> <td>-CHG</td> <td>Chai and Head-Gordon Dispersion Correction</td> </tr> <tr class="row-odd"><td>wBLYP</td> <td>BLYP SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBE</td> <td>PBE SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBE0</td> <td>PBE0 SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBE2</td> <td>Double-Hybrid PBE LRC Functional</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBE_C</td> <td>Short-Range PBE Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBE_X</td> <td>PBE Short-Range GGA Exchange (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBEsol</td> <td>PBEsol SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBEsol0</td> <td>PBEsol0 SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBEsol_X</td> <td>PBEsol Short-Range GGA Exchange (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPW92_C</td> <td>Short-Range PW92 Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> </tbody> </table> </div> <div class="section" id="meta"> <span id="table-dft-meta"></span><h2>Meta<a class="headerlink" href="#meta" title="Permalink to this headline">¶</a></h2> <table border="1" class="docutils"> <caption>Meta functionals available in PSI4</caption> <colgroup> <col width="8%" /> <col width="29%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="8%" /> <col width="8%" /> <col width="22%" /> </colgroup> <thead valign="bottom"> <tr class="row-odd"><th class="head">Name</th> <th class="head">Description</th> <th class="head">GGA?</th> <th class="head">Meta?</th> <th class="head">X_LRC?</th> <th class="head">X_Hybrid?</th> <th class="head">C_LRC?</th> <th class="head">C_Hybrid?</th> <th class="head">C_SCS? SS/OS</th> <th class="head">Dispersion?</th> <th class="head">Dispersion Description</th> </tr> </thead> <tbody valign="top"> <tr class="row-even"><td>M05</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.280000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>M05-2X</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.560000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>M05-2X-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.560000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>M05-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.280000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>dlDF</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>dlDF+D</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2010</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-even"><td>dlDF+D09</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2009</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> </tbody> </table> </div> <div class="section" id="long-range-corrected"> <span id="table-dft-lrc"></span><h2>Long-Range Corrected<a class="headerlink" href="#long-range-corrected" title="Permalink to this headline">¶</a></h2> <table border="1" class="docutils"> <caption>Long-Range-Corrected functionals available in PSI4</caption> <colgroup> <col width="8%" /> <col width="29%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="8%" /> <col width="8%" /> <col width="22%" /> </colgroup> <thead valign="bottom"> <tr class="row-odd"><th class="head">Name</th> <th class="head">Description</th> <th class="head">GGA?</th> <th class="head">Meta?</th> <th class="head">X_LRC?</th> <th class="head">X_Hybrid?</th> <th class="head">C_LRC?</th> <th class="head">C_Hybrid?</th> <th class="head">C_SCS? SS/OS</th> <th class="head">Dispersion?</th> <th class="head">Dispersion Description</th> </tr> </thead> <tbody valign="top"> <tr class="row-even"><td>wB88_X</td> <td>B88 Short-Range GGA Exchange (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wB97</td> <td>Parameterized LRC B97 GGA XC Functional</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wB97X</td> <td>Parameterized Hybrid LRC B97 GGA XC Functional</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>0.157706</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wB97X-D</td> <td>Parameterized Hybrid LRC B97 GGA XC Functional with Dispersion</td> <td>Y</td> <td>—</td> <td>0.200000</td> <td>0.222036</td> <td>—</td> <td>—</td> <td>—</td> <td>-CHG</td> <td>Chai and Head-Gordon Dispersion Correction</td> </tr> <tr class="row-even"><td>wBLYP</td> <td>BLYP SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBE</td> <td>PBE SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBE0</td> <td>PBE0 SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBE2</td> <td>Double-Hybrid PBE LRC Functional</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBE_C</td> <td>Short-Range PBE Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBE_X</td> <td>PBE Short-Range GGA Exchange (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBEsol</td> <td>PBEsol SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBEsol0</td> <td>PBEsol0 SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wPBEsol_X</td> <td>PBEsol Short-Range GGA Exchange (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPW92_C</td> <td>Short-Range PW92 Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>wSVWN</td> <td>LSDA SR-XC Functional</td> <td>—</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wS_X</td> <td>Slater Short-Range LSDA Exchange</td> <td>—</td> <td>—</td> <td>0.300000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> </tbody> </table> </div> <div class="section" id="hybrid"> <span id="table-dft-hybrid"></span><h2>Hybrid<a class="headerlink" href="#hybrid" title="Permalink to this headline">¶</a></h2> <table border="1" class="docutils"> <caption>Hybrid functionals available in PSI4</caption> <colgroup> <col width="8%" /> <col width="29%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="8%" /> <col width="8%" /> <col width="22%" /> </colgroup> <thead valign="bottom"> <tr class="row-odd"><th class="head">Name</th> <th class="head">Description</th> <th class="head">GGA?</th> <th class="head">Meta?</th> <th class="head">X_LRC?</th> <th class="head">X_Hybrid?</th> <th class="head">C_LRC?</th> <th class="head">C_Hybrid?</th> <th class="head">C_SCS? SS/OS</th> <th class="head">Dispersion?</th> <th class="head">Dispersion Description</th> </tr> </thead> <tbody valign="top"> <tr class="row-even"><td>B2PLYP</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B2PLYP-D</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>B2PLYP-D3</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B2PLYP-D3BJ</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B3LYP-CHG</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-CHG</td> <td>Chai and Head-Gordon Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP-D</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>B3LYP-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP-D3</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B3LYP-D3BJ</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>B97-0</td> <td>B97-0 Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.194300</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B97-1</td> <td>B97-1 Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.210000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>B97-2</td> <td>B97-2 Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.210000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>BLYP-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-even"><td>BP86-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.200000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-odd"><td>HF+D</td> <td> </td> <td>—</td> <td>—</td> <td>—</td> <td>1.000000</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2010</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-even"><td>M05</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.280000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>M05-2X</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.560000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>M05-2X-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.560000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>M05-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.280000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE0</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>PBE0-2</td> <td>PBE0-2 Double Hydrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.793701</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>PBE0-D</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE0-D3</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE0-D3BJ</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>dlDF</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-even"><td>dlDF+D</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2010</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-odd"><td>dlDF+D09</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>Y</td> <td>Y</td> <td>—</td> <td>0.614413</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2009</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-even"><td>wB97X</td> <td>Parameterized Hybrid LRC B97 GGA XC Functional</td> <td>Y</td> <td>—</td> <td>0.400000</td> <td>0.157706</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wB97X-D</td> <td>Parameterized Hybrid LRC B97 GGA XC Functional with Dispersion</td> <td>Y</td> <td>—</td> <td>0.200000</td> <td>0.222036</td> <td>—</td> <td>—</td> <td>—</td> <td>-CHG</td> <td>Chai and Head-Gordon Dispersion Correction</td> </tr> <tr class="row-even"><td>wPBE0</td> <td>PBE0 SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>wPBEsol0</td> <td>PBEsol0 SR-XC Functional (HJS Model)</td> <td>Y</td> <td>—</td> <td>0.300000</td> <td>0.250000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> </tr> </tbody> </table> </div> <div class="section" id="double-hybrid"> <span id="table-dft-dhybrid"></span><h2>Double-Hybrid<a class="headerlink" href="#double-hybrid" title="Permalink to this headline">¶</a></h2> <table border="1" class="docutils"> <caption>Double-Hybrid functionals available in PSI4</caption> <colgroup> <col width="8%" /> <col width="29%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="4%" /> <col width="8%" /> <col width="8%" /> <col width="22%" /> </colgroup> <thead valign="bottom"> <tr class="row-odd"><th class="head">Name</th> <th class="head">Description</th> <th class="head">GGA?</th> <th class="head">Meta?</th> <th class="head">X_LRC?</th> <th class="head">X_Hybrid?</th> <th class="head">C_LRC?</th> <th class="head">C_Hybrid?</th> <th class="head">C_SCS? SS/OS</th> <th class="head">Dispersion?</th> <th class="head">Dispersion Description</th> </tr> </thead> <tbody valign="top"> <tr class="row-even"><td>B2PLYP</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>—</td> <td>—</td> </tr> <tr class="row-odd"><td>B2PLYP-D</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>B2PLYP-D3</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B2PLYP-D3BJ</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.530000</td> <td>—</td> <td>0.270000</td> <td>—</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE0-2</td> <td>PBE0-2 Double Hydrid Exchange-Correlation Functional</td> <td>Y</td> <td>—</td> <td>—</td> <td>0.793701</td> <td>—</td> <td>0.500000</td> <td>—</td> <td>—</td> <td>—</td> </tr> </tbody> </table> </div> <div class="section" id="scs-double-hybrid"> <span id="table-dft-scsdhybrid"></span><h2>SCS Double-Hybrid<a class="headerlink" href="#scs-double-hybrid" title="Permalink to this headline">¶</a></h2> </div> <div class="section" id="dispersion-corrected"> <span id="table-dft-disp"></span><h2>Dispersion-Corrected<a class="headerlink" href="#dispersion-corrected" title="Permalink to this headline">¶</a></h2> <table border="1" class="docutils"> <caption>Dispersion-Corrected functionals available in PSI4</caption> <colgroup> <col width="8%" /> <col width="32%" /> <col width="5%" /> <col width="5%" /> <col width="5%" /> <col width="5%" /> <col width="5%" /> <col width="5%" /> <col width="8%" /> <col width="24%" /> </colgroup> <thead valign="bottom"> <tr class="row-odd"><th class="head">Name</th> <th class="head">Description</th> <th class="head">S6</th> <th class="head">S8</th> <th class="head">SR6</th> <th class="head">ALPHA6</th> <th class="head">A1</th> <th class="head">A2</th> <th class="head">Dispersion?</th> <th class="head">Dispersion Description</th> </tr> </thead> <tbody valign="top"> <tr class="row-even"><td>B2PLYP-D</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>0.55000</td> <td>—</td> <td>—</td> <td>20.00000</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>B2PLYP-D3</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>0.64000</td> <td>1.02200</td> <td>1.42700</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>B2PLYP-D3BJ</td> <td>B2PLYP Double Hybrid Exchange-Correlation Functional</td> <td>0.64000</td> <td>0.91470</td> <td>—</td> <td>—</td> <td>0.30650</td> <td>5.05700</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B3LYP-CHG</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>—</td> <td>1.00000</td> <td>6.00000</td> <td>—</td> <td>—</td> <td>-CHG</td> <td>Chai and Head-Gordon Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP-D</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>1.05000</td> <td>—</td> <td>—</td> <td>20.00000</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>B3LYP-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>1.05000</td> <td>—</td> <td>—</td> <td>23.00000</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-even"><td>B3LYP-D3</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>1.70300</td> <td>1.26100</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>B3LYP-D3BJ</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>1.98890</td> <td>—</td> <td>—</td> <td>0.39810</td> <td>4.42110</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>B97-D</td> <td>B97-D Pure-GGA Exchange-Correlation Functional</td> <td>1.25000</td> <td>—</td> <td>—</td> <td>20.00000</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>B97-D3</td> <td>B97-D Pure-GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>0.90900</td> <td>0.89200</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>B97-D3BJ</td> <td>B97-D Pure-GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>2.26090</td> <td>—</td> <td>—</td> <td>0.55450</td> <td>3.22970</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>BLYP-D</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>1.20000</td> <td>—</td> <td>-0.02690</td> <td>20.00000</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>BLYP-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>1.20000</td> <td>—</td> <td>—</td> <td>23.00000</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-odd"><td>BLYP-D3</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>1.68200</td> <td>1.09400</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>BLYP-D3BJ</td> <td>BLYP GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>2.69960</td> <td>—</td> <td>—</td> <td>0.42980</td> <td>4.23590</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>BP86-D</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>1.05000</td> <td>—</td> <td>—</td> <td>20.00000</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-even"><td>BP86-D1</td> <td>B3LYP Hybrid-GGA Exchange-Correlation Functional</td> <td>1.05000</td> <td>—</td> <td>—</td> <td>23.00000</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-odd"><td>BP86-D3</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>1.68300</td> <td>1.13900</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>BP86-D3BJ</td> <td>BP86 GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>3.28220</td> <td>—</td> <td>—</td> <td>0.39460</td> <td>4.85160</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>HCTH120-D3</td> <td>HCTH120 Pure-GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>1.20600</td> <td>1.22100</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>HCTH120-D3BJ</td> <td>HCTH120 Pure-GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>1.08210</td> <td>—</td> <td>—</td> <td>0.35630</td> <td>4.33590</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>HF+D</td> <td> </td> <td>1.00000</td> <td>—</td> <td>—</td> <td>20.00000</td> <td>—</td> <td>—</td> <td>-DAS2010</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-even"><td>M05-2X-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>1.00000</td> <td>—</td> <td>1.41700</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>M05-D3</td> <td>Heavily Parameterized Hybrid Meta-GGA XC Functional</td> <td>1.00000</td> <td>0.59500</td> <td>1.37300</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE-D</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>0.75000</td> <td>—</td> <td>—</td> <td>20.00000</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE-D1</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>0.75000</td> <td>—</td> <td>—</td> <td>23.00000</td> <td>—</td> <td>—</td> <td>-D1</td> <td>Grimme’s -D1 Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE-D3</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>0.72200</td> <td>1.21700</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE-D3BJ</td> <td>PBE GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>0.78750</td> <td>—</td> <td>—</td> <td>0.42890</td> <td>4.44070</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE0-D</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>0.60000</td> <td>—</td> <td>—</td> <td>20.00000</td> <td>—</td> <td>—</td> <td>-D2</td> <td>Grimme’s -D2 Dispersion Correction</td> </tr> <tr class="row-odd"><td>PBE0-D3</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>0.92800</td> <td>1.28700</td> <td>14.00000</td> <td>—</td> <td>—</td> <td>-D3ZERO</td> <td>Grimme’s -D3 (zero-damping) Dispersion Correction</td> </tr> <tr class="row-even"><td>PBE0-D3BJ</td> <td>PBE0 Hybrid GGA Exchange-Correlation Functional</td> <td>1.00000</td> <td>1.21770</td> <td>—</td> <td>—</td> <td>0.41450</td> <td>4.85930</td> <td>-D3BJ</td> <td>Grimme’s -D3 (BJ-damping) Dispersion Correction</td> </tr> <tr class="row-odd"><td>dlDF+D</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>1.00000</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>—</td> <td>-DAS2010</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-even"><td>dlDF+D09</td> <td>Dispersionless Hybrid Meta-GGA XC Functional</td> <td>1.00000</td> <td>—</td> <td>—</td> <td>0.04918</td> <td>—</td> <td>—</td> <td>-DAS2009</td> <td>Podeszwa and Szalewicz Dispersion Correction</td> </tr> <tr class="row-odd"><td>wB97X-D</td> <td>Parameterized Hybrid LRC B97 GGA XC Functional with Dispersion</td> <td>1.00000</td> <td>—</td> <td>—</td> <td>6.00000</td> <td>—</td> <td>—</td> <td>-CHG</td> <td>Chai and Head-Gordon Dispersion Correction</td> </tr> </tbody> </table> </div> </div> </div> </div> </div> <div class="sphinxsidebar"> <div class="sphinxsidebarwrapper"> <h3><a href="index.html">Table Of Contents</a></h3> <ul> <li><a class="reference internal" href="#">DFT Functionals</a><ul> <li><a class="reference internal" href="#all-available">All Available</a></li> <li><a class="reference internal" href="#gga">GGA</a></li> <li><a class="reference internal" href="#meta">Meta</a></li> <li><a class="reference internal" href="#long-range-corrected">Long-Range Corrected</a></li> <li><a class="reference internal" href="#hybrid">Hybrid</a></li> <li><a class="reference internal" href="#double-hybrid">Double-Hybrid</a></li> <li><a class="reference internal" href="#scs-double-hybrid">SCS Double-Hybrid</a></li> <li><a class="reference internal" href="#dispersion-corrected">Dispersion-Corrected</a></li> </ul> </li> </ul> <h4>Previous topic</h4> <p 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