A cross-entropy corrected hybrid multiconfiguration pair-density functional theory for complex molecular systems

Abstract Hybrid density functionals, such as B3LYP and PBE0, have achieved remarkable success by substantially improving over their parent methods, namely Hartree-Fock and the generalized gradient approximation, and generally outperforming the second-order Møller-Plesset perturbation theory (MP2) th...

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Main Authors: Rulin Feng, Igor Ying Zhang, Xin Xu
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-55524-z
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author Rulin Feng
Igor Ying Zhang
Xin Xu
author_facet Rulin Feng
Igor Ying Zhang
Xin Xu
author_sort Rulin Feng
collection DOAJ
description Abstract Hybrid density functionals, such as B3LYP and PBE0, have achieved remarkable success by substantially improving over their parent methods, namely Hartree-Fock and the generalized gradient approximation, and generally outperforming the second-order Møller-Plesset perturbation theory (MP2) that is more expensive. Here, we extend the linear scheme of hybrid multiconfiguration pair-density functional theory (HMC-PDFT) by incorporating a cross-entropy ingredient to balance the description of static and dynamic correlation effects, leading to a consistent improvement on both exchange and correlation energies. The B3LYP-like translated on-top functional (tB4LYP) developed along this line not only surpasses the accuracy of its parent methods, the complete active space self-consistent field (CASSCF) and the original MC-PDFT functionals (tBLYP and tB3LYP), but also outperforms the widely used complete active space second-order perturbation theory (CASPT2). Remarkably, while remaining satisfactory for general purpose, tB4LYP shows superior accuracy for challenging cases like the Cr2 dissociation and the associated low-lying vibrational energies, the ethylene torsional rotation and the ethyne diabatic colinear dissociations, with the significantly lower computational cost than CASPT2.
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spelling doaj-art-19af9bf58fbd4039818e53adc8d7dbfa2025-01-05T12:41:13ZengNature PortfolioNature Communications2041-17232025-01-0116111410.1038/s41467-024-55524-zA cross-entropy corrected hybrid multiconfiguration pair-density functional theory for complex molecular systemsRulin Feng0Igor Ying Zhang1Xin Xu2Shanghai Key Laboratory of Molecular Catalysis and Innovation Materials, Collaborative Innovation Centre of Chemistry for Energy Materials, MOE Laboratory for Computational Physical Science, Department of Chemistry, Fudan UniversityShanghai Key Laboratory of Molecular Catalysis and Innovation Materials, Collaborative Innovation Centre of Chemistry for Energy Materials, MOE Laboratory for Computational Physical Science, Department of Chemistry, Fudan UniversityShanghai Key Laboratory of Molecular Catalysis and Innovation Materials, Collaborative Innovation Centre of Chemistry for Energy Materials, MOE Laboratory for Computational Physical Science, Department of Chemistry, Fudan UniversityAbstract Hybrid density functionals, such as B3LYP and PBE0, have achieved remarkable success by substantially improving over their parent methods, namely Hartree-Fock and the generalized gradient approximation, and generally outperforming the second-order Møller-Plesset perturbation theory (MP2) that is more expensive. Here, we extend the linear scheme of hybrid multiconfiguration pair-density functional theory (HMC-PDFT) by incorporating a cross-entropy ingredient to balance the description of static and dynamic correlation effects, leading to a consistent improvement on both exchange and correlation energies. The B3LYP-like translated on-top functional (tB4LYP) developed along this line not only surpasses the accuracy of its parent methods, the complete active space self-consistent field (CASSCF) and the original MC-PDFT functionals (tBLYP and tB3LYP), but also outperforms the widely used complete active space second-order perturbation theory (CASPT2). Remarkably, while remaining satisfactory for general purpose, tB4LYP shows superior accuracy for challenging cases like the Cr2 dissociation and the associated low-lying vibrational energies, the ethylene torsional rotation and the ethyne diabatic colinear dissociations, with the significantly lower computational cost than CASPT2.https://doi.org/10.1038/s41467-024-55524-z
spellingShingle Rulin Feng
Igor Ying Zhang
Xin Xu
A cross-entropy corrected hybrid multiconfiguration pair-density functional theory for complex molecular systems
Nature Communications
title A cross-entropy corrected hybrid multiconfiguration pair-density functional theory for complex molecular systems
title_full A cross-entropy corrected hybrid multiconfiguration pair-density functional theory for complex molecular systems
title_fullStr A cross-entropy corrected hybrid multiconfiguration pair-density functional theory for complex molecular systems
title_full_unstemmed A cross-entropy corrected hybrid multiconfiguration pair-density functional theory for complex molecular systems
title_short A cross-entropy corrected hybrid multiconfiguration pair-density functional theory for complex molecular systems
title_sort cross entropy corrected hybrid multiconfiguration pair density functional theory for complex molecular systems
url https://doi.org/10.1038/s41467-024-55524-z
work_keys_str_mv AT rulinfeng acrossentropycorrectedhybridmulticonfigurationpairdensityfunctionaltheoryforcomplexmolecularsystems
AT igoryingzhang acrossentropycorrectedhybridmulticonfigurationpairdensityfunctionaltheoryforcomplexmolecularsystems
AT xinxu acrossentropycorrectedhybridmulticonfigurationpairdensityfunctionaltheoryforcomplexmolecularsystems
AT rulinfeng crossentropycorrectedhybridmulticonfigurationpairdensityfunctionaltheoryforcomplexmolecularsystems
AT igoryingzhang crossentropycorrectedhybridmulticonfigurationpairdensityfunctionaltheoryforcomplexmolecularsystems
AT xinxu crossentropycorrectedhybridmulticonfigurationpairdensityfunctionaltheoryforcomplexmolecularsystems