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Csóka J, Hégely B, Nagy PR, Kállay M. Development of analytic gradients for the Huzinaga quantum embedding method and its applications to large-scale hybrid and double hybrid DFT forces. J Chem Phys 2024; 160:124113. [PMID: 38530010 DOI: 10.1063/5.0194463] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/27/2023] [Accepted: 03/06/2024] [Indexed: 03/27/2024] Open
Abstract
The theory of analytic gradients is presented for the projector-based density functional theory (DFT) embedding approach utilizing the Huzinaga-equation. The advantages of the Huzinaga-equation-based formulation are demonstrated. In particular, it is shown that the projector employed does not appear in the Lagrangian, and the potential risk of numerical problems is avoided at the evaluation of the gradients. The efficient implementation of the analytic gradient theory is presented for approaches where hybrid DFT, second-order Møller-Plesset perturbation theory, or double hybrid DFT are embedded in lower-level DFT environments. To demonstrate the applicability of the method and to gain insight into its accuracy, it is applied to equilibrium geometry optimizations, transition state searches, and potential energy surface scans. Our results show that bond lengths and angles converge rapidly with the size of the embedded system. While providing structural parameters close to high-level quality for the embedded atoms, the embedding approach has the potential to relax the coordinates of the environment as well. Our demonstrations on a 171-atom zeolite and a 570-atom protein system show that the Huzinaga-equation-based embedding can accelerate (double) hybrid gradient computations by an order of magnitude with sufficient active regions and enables affordable force evaluations or geometry optimizations for molecules of hundreds of atoms.
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Affiliation(s)
- József Csóka
- Department of Physical Chemistry and Materials Science, Faculty of Chemical Technology and Biotechnology, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- HUN-REN-BME Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- MTA-BME Lendület Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
| | - Bence Hégely
- Department of Physical Chemistry and Materials Science, Faculty of Chemical Technology and Biotechnology, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- HUN-REN-BME Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- MTA-BME Lendület Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
| | - Péter R Nagy
- Department of Physical Chemistry and Materials Science, Faculty of Chemical Technology and Biotechnology, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- HUN-REN-BME Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- MTA-BME Lendület Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
| | - Mihály Kállay
- Department of Physical Chemistry and Materials Science, Faculty of Chemical Technology and Biotechnology, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- HUN-REN-BME Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- MTA-BME Lendület Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
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Teale AM, Helgaker T, Savin A, Adamo C, Aradi B, Arbuznikov AV, Ayers PW, Baerends EJ, Barone V, Calaminici P, Cancès E, Carter EA, Chattaraj PK, Chermette H, Ciofini I, Crawford TD, De Proft F, Dobson JF, Draxl C, Frauenheim T, Fromager E, Fuentealba P, Gagliardi L, Galli G, Gao J, Geerlings P, Gidopoulos N, Gill PMW, Gori-Giorgi P, Görling A, Gould T, Grimme S, Gritsenko O, Jensen HJA, Johnson ER, Jones RO, Kaupp M, Köster AM, Kronik L, Krylov AI, Kvaal S, Laestadius A, Levy M, Lewin M, Liu S, Loos PF, Maitra NT, Neese F, Perdew JP, Pernal K, Pernot P, Piecuch P, Rebolini E, Reining L, Romaniello P, Ruzsinszky A, Salahub DR, Scheffler M, Schwerdtfeger P, Staroverov VN, Sun J, Tellgren E, Tozer DJ, Trickey SB, Ullrich CA, Vela A, Vignale G, Wesolowski TA, Xu X, Yang W. DFT exchange: sharing perspectives on the workhorse of quantum chemistry and materials science. Phys Chem Chem Phys 2022; 24:28700-28781. [PMID: 36269074 PMCID: PMC9728646 DOI: 10.1039/d2cp02827a] [Citation(s) in RCA: 62] [Impact Index Per Article: 31.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2022] [Accepted: 08/09/2022] [Indexed: 12/13/2022]
Abstract
In this paper, the history, present status, and future of density-functional theory (DFT) is informally reviewed and discussed by 70 workers in the field, including molecular scientists, materials scientists, method developers and practitioners. The format of the paper is that of a roundtable discussion, in which the participants express and exchange views on DFT in the form of 302 individual contributions, formulated as responses to a preset list of 26 questions. Supported by a bibliography of 777 entries, the paper represents a broad snapshot of DFT, anno 2022.
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Affiliation(s)
- Andrew M. Teale
- School of Chemistry, University of Nottingham, University ParkNottinghamNG7 2RDUK
| | - Trygve Helgaker
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway.
| | - Andreas Savin
- Laboratoire de Chimie Théorique, CNRS and Sorbonne University, 4 Place Jussieu, CEDEX 05, 75252 Paris, France.
| | - Carlo Adamo
- PSL University, CNRS, ChimieParisTech-PSL, Institute of Chemistry for Health and Life Sciences, i-CLeHS, 11 rue P. et M. Curie, 75005 Paris, France.
| | - Bálint Aradi
- Bremen Center for Computational Materials Science, University of Bremen, P.O. Box 330440, D-28334 Bremen, Germany.
| | - Alexei V. Arbuznikov
- Technische Universität Berlin, Institut für Chemie, Theoretische Chemie/Quantenchemie, Sekr. C7Straße des 17. Juni 13510623Berlin
| | | | - Evert Jan Baerends
- Department of Chemistry and Pharmaceutical Sciences, Faculty of Science, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
| | - Vincenzo Barone
- Scuola Normale Superiore, Piazza dei Cavalieri 7, 56125 Pisa, Italy.
| | - Patrizia Calaminici
- Departamento de Química, Centro de Investigación y de Estudios Avanzados (Cinvestav), CDMX, 07360, Mexico.
| | - Eric Cancès
- CERMICS, Ecole des Ponts and Inria Paris, 6 Avenue Blaise Pascal, 77455 Marne-la-Vallée, France.
| | - Emily A. Carter
- Department of Mechanical and Aerospace Engineering and the Andlinger Center for Energy and the Environment, Princeton UniversityPrincetonNJ 08544-5263USA
| | | | - Henry Chermette
- Institut Sciences Analytiques, Université Claude Bernard Lyon1, CNRS UMR 5280, 69622 Villeurbanne, France.
| | - Ilaria Ciofini
- PSL University, CNRS, ChimieParisTech-PSL, Institute of Chemistry for Health and Life Sciences, i-CLeHS, 11 rue P. et M. Curie, 75005 Paris, France.
| | - T. Daniel Crawford
- Department of Chemistry, Virginia TechBlacksburgVA 24061USA,Molecular Sciences Software InstituteBlacksburgVA 24060USA
| | - Frank De Proft
- Research Group of General Chemistry (ALGC), Vrije Universiteit Brussel (VUB), Pleinlaan 2, B-1050 Brussels, Belgium.
| | | | - Claudia Draxl
- Institut für Physik and IRIS Adlershof, Humboldt-Universität zu Berlin, 12489 Berlin, Germany. .,Fritz-Haber-Institut der Max-Planck-Gesellschaft, 14195 Berlin, Germany
| | - Thomas Frauenheim
- Bremen Center for Computational Materials Science, University of Bremen, P.O. Box 330440, D-28334 Bremen, Germany. .,Beijing Computational Science Research Center (CSRC), 100193 Beijing, China.,Shenzhen JL Computational Science and Applied Research Institute, 518110 Shenzhen, China
| | - Emmanuel Fromager
- Laboratoire de Chimie Quantique, Institut de Chimie, CNRS/Université de Strasbourg, 4 rue Blaise Pascal, 67000 Strasbourg, France.
| | - Patricio Fuentealba
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile.
| | - Laura Gagliardi
- Department of Chemistry, Pritzker School of Molecular Engineering, The James Franck Institute, and Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, USA.
| | - Giulia Galli
- Pritzker School of Molecular Engineering and Department of Chemistry, The University of Chicago, Chicago, IL, USA.
| | - Jiali Gao
- Institute of Systems and Physical Biology, Shenzhen Bay Laboratory, Shenzhen 518055, China. .,Department of Chemistry, University of Minnesota, Minneapolis, MN 55455, USA
| | - Paul Geerlings
- Research Group of General Chemistry (ALGC), Vrije Universiteit Brussel (VUB), Pleinlaan 2, B-1050 Brussels, Belgium.
| | - Nikitas Gidopoulos
- Department of Physics, Durham University, South Road, Durham DH1 3LE, UK.
| | - Peter M. W. Gill
- School of Chemistry, University of SydneyCamperdown NSW 2006Australia
| | - Paola Gori-Giorgi
- Department of Chemistry and Pharmaceutical Sciences, Amsterdam Institute of Molecular and Life Sciences (AIMMS), Faculty of Science, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
| | - Andreas Görling
- Chair of Theoretical Chemistry, University of Erlangen-Nuremberg, Egerlandstrasse 3, 91058 Erlangen, Germany.
| | - Tim Gould
- Qld Micro- and Nanotechnology Centre, Griffith University, Gold Coast, Qld 4222, Australia.
| | - Stefan Grimme
- Mulliken Center for Theoretical Chemistry, University of Bonn, Beringstrasse 4, 53115 Bonn, Germany.
| | - Oleg Gritsenko
- Department of Chemistry and Pharmaceutical Sciences, Amsterdam Institute of Molecular and Life Sciences (AIMMS), Faculty of Science, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
| | - Hans Jørgen Aagaard Jensen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, DK-5230 Odense M, Denmark.
| | - Erin R. Johnson
- Department of Chemistry, Dalhousie UniversityHalifaxNova ScotiaB3H 4R2Canada
| | - Robert O. Jones
- Peter Grünberg Institut PGI-1, Forschungszentrum Jülich52425 JülichGermany
| | - Martin Kaupp
- Technische Universität Berlin, Institut für Chemie, Theoretische Chemie/Quantenchemie, Sekr. C7, Straße des 17. Juni 135, 10623, Berlin.
| | - Andreas M. Köster
- Departamento de Química, Centro de Investigación y de Estudios Avanzados (Cinvestav)CDMX07360Mexico
| | - Leeor Kronik
- Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovoth, 76100, Israel.
| | - Anna I. Krylov
- Department of Chemistry, University of Southern CaliforniaLos AngelesCalifornia 90089USA
| | - Simen Kvaal
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway.
| | - Andre Laestadius
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway.
| | - Mel Levy
- Department of Chemistry, Tulane University, New Orleans, Louisiana, 70118, USA.
| | - Mathieu Lewin
- CNRS & CEREMADE, Université Paris-Dauphine, PSL Research University, Place de Lattre de Tassigny, 75016 Paris, France.
| | - Shubin Liu
- Research Computing Center, University of North Carolina, Chapel Hill, NC 27599-3420, USA. .,Department of Chemistry, University of North Carolina, Chapel Hill, NC 27599-3290, USA
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, France.
| | - Neepa T. Maitra
- Department of Physics, Rutgers University at Newark101 Warren StreetNewarkNJ 07102USA
| | - Frank Neese
- Max Planck Institut für Kohlenforschung, Kaiser Wilhelm Platz 1, D-45470 Mülheim an der Ruhr, Germany.
| | - John P. Perdew
- Departments of Physics and Chemistry, Temple UniversityPhiladelphiaPA 19122USA
| | - Katarzyna Pernal
- Institute of Physics, Lodz University of Technology, ul. Wolczanska 219, 90-924 Lodz, Poland.
| | - Pascal Pernot
- Institut de Chimie Physique, UMR8000, CNRS and Université Paris-Saclay, Bât. 349, Campus d'Orsay, 91405 Orsay, France.
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA. .,Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Elisa Rebolini
- Institut Laue Langevin, 71 avenue des Martyrs, 38000 Grenoble, France.
| | - Lucia Reining
- Laboratoire des Solides Irradiés, CNRS, CEA/DRF/IRAMIS, École Polytechnique, Institut Polytechnique de Paris, F-91120 Palaiseau, France. .,European Theoretical Spectroscopy Facility
| | - Pina Romaniello
- Laboratoire de Physique Théorique (UMR 5152), Université de Toulouse, CNRS, UPS, France.
| | - Adrienn Ruzsinszky
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USA.
| | - Dennis R. Salahub
- Department of Chemistry, Department of Physics and Astronomy, CMS – Centre for Molecular Simulation, IQST – Institute for Quantum Science and Technology, Quantum Alberta, University of Calgary2500 University Drive NWCalgaryAlbertaT2N 1N4Canada
| | - Matthias Scheffler
- The NOMAD Laboratory at the FHI of the Max-Planck-Gesellschaft and IRIS-Adlershof of the Humboldt-Universität zu Berlin, Faradayweg 4-6, D-14195, Germany.
| | - Peter Schwerdtfeger
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study, Massey University Auckland, 0632 Auckland, New Zealand.
| | - Viktor N. Staroverov
- Department of Chemistry, The University of Western OntarioLondonOntario N6A 5B7Canada
| | - Jianwei Sun
- Department of Physics and Engineering Physics, Tulane University, New Orleans, LA 70118, USA.
| | - Erik Tellgren
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway.
| | - David J. Tozer
- Department of Chemistry, Durham UniversitySouth RoadDurhamDH1 3LEUK
| | - Samuel B. Trickey
- Quantum Theory Project, Deptartment of Physics, University of FloridaGainesvilleFL 32611USA
| | - Carsten A. Ullrich
- Department of Physics and Astronomy, University of MissouriColumbiaMO 65211USA
| | - Alberto Vela
- Departamento de Química, Centro de Investigación y de Estudios Avanzados (Cinvestav), CDMX, 07360, Mexico.
| | - Giovanni Vignale
- Department of Physics, University of Missouri, Columbia, MO 65203, USA.
| | - Tomasz A. Wesolowski
- Department of Physical Chemistry, Université de Genève30 Quai Ernest-Ansermet1211 GenèveSwitzerland
| | - Xin Xu
- Shanghai 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 University, Shanghai 200433, China.
| | - Weitao Yang
- Department of Chemistry and Physics, Duke University, Durham, NC 27516, USA.
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Polak E, González-Espinoza CE, Gander MJ, Wesolowski TA. A non-decomposable approximation on the complete density function space for the non-additive kinetic potential. J Chem Phys 2022; 156:044103. [DOI: 10.1063/5.0076871] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
Affiliation(s)
- Elias Polak
- Département de Chimie Physique 30, Université de Genève, Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
- Section de Mathématiques, Université de Genève, Rue du Conseil-Général 7-9, CP 64, CH-1205 Genève, Switzerland
| | | | - Martin J. Gander
- Section de Mathématiques, Université de Genève, Rue du Conseil-Général 7-9, CP 64, CH-1205 Genève, Switzerland
| | - Tomasz A. Wesolowski
- Département de Chimie Physique 30, Université de Genève, Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
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4
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Lee SJR, Ding F, Manby FR, Miller TF. Analytical gradients for projection-based wavefunction-in-DFT embedding. J Chem Phys 2019. [DOI: 10.1063/1.5109882] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
Affiliation(s)
- Sebastian J. R. Lee
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
| | - Feizhi Ding
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
| | - Frederick R. Manby
- Centre for Computational Chemistry, School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
| | - Thomas F. Miller
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
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Zech A, Dreuw A, Wesolowski TA. Extension of frozen-density embedding theory for non-variational embedded wavefunctions. J Chem Phys 2019; 150:121101. [DOI: 10.1063/1.5089233] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Alexander Zech
- Department of Physical Chemistry, University of Geneva, 30, Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Andreas Dreuw
- Interdisciplinary Center for Scientific Computing, Ruprecht-Karls University Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
| | - Tomasz A. Wesolowski
- Department of Physical Chemistry, University of Geneva, 30, Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
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Klahr K, Schlüns D, Neugebauer J. Geometry Optimizations in a Subsystem Density Functional Theory Formalism: A Benchmark Study. J Chem Theory Comput 2018; 14:5631-5644. [DOI: 10.1021/acs.jctc.8b00475] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Kevin Klahr
- Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Westfälische Wilhelms-Universität Münster, Corrensstraße 40, 48149 Münster, Germany
| | - Danny Schlüns
- Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Westfälische Wilhelms-Universität Münster, Corrensstraße 40, 48149 Münster, Germany
| | - Johannes Neugebauer
- Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Westfälische Wilhelms-Universität Münster, Corrensstraße 40, 48149 Münster, Germany
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7
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Heuser J, Höfener S. Analytical Nuclear Excited-State Gradients for the Second-Order Approximate Coupled-Cluster Singles and Doubles (CC2) Method Employing Uncoupled Frozen-Density Embedding. J Chem Theory Comput 2018; 14:4616-4628. [PMID: 30086227 DOI: 10.1021/acs.jctc.8b00369] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
We report the derivation and implementation of analytical orbital-relaxed properties and nuclear gradients for excited states using the second-order approximate coupled-cluster singles and doubles (CC2) model combined with uncoupled frozen-density embedding (FDEu). An implementation of the algebraic diagrammatic construction through second-order ADC(2), which arises from simplification of RICC2 FDEu, is also presented. In order to ensure a RICC2 FDEu Lagrange functional that is linear in the Lagrange multipliers, the Hartree-Fock density is employed for the target subsystem in the embedding contributions. The accuracy of the new scheme is assessed using the carbon monoxide molecule, 4-aminophthalimide, and a benzonitrile dimer, revealing that the obtained errors are below the method error of RICC2. Using density functional theory for the environment, the efficiency of the new method is illustrated by computing the perturbed excited-state dipole moment of a chromophore in a biological environment. For this system, comprising 32 molecules consisting of 366 atoms in total, the computation requires only a couple of days on a standard compute node. RICC2 FDEu thus enables large-scale calculations of ab initio wave functions for molecules in complex environments as routine applications.
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Affiliation(s)
- Johannes Heuser
- Institute of Physical Chemistry , Karlsruhe Institute of Technology (KIT) , P.O. Box 6980, D-76049 Karlsruhe , Germany
| | - Sebastian Höfener
- Institute of Physical Chemistry , Karlsruhe Institute of Technology (KIT) , P.O. Box 6980, D-76049 Karlsruhe , Germany
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Ricardi N, Zech A, Gimbal-Zofka Y, Wesolowski TA. Explicit vs. implicit electronic polarisation of environment of an embedded chromophore in frozen-density embedding theory. Phys Chem Chem Phys 2018; 20:26053-26062. [DOI: 10.1039/c8cp05634j] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A comparison of strategies to account for environment polarisation in Frozen Density Embedding Theory (FDET).
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Affiliation(s)
- Niccolò Ricardi
- Department of Physical Chemistry
- University of Geneva
- CH-1211 Genève
- Switzerland
| | - Alexander Zech
- Department of Physical Chemistry
- University of Geneva
- CH-1211 Genève
- Switzerland
| | - Yann Gimbal-Zofka
- Department of Physical Chemistry
- University of Geneva
- CH-1211 Genève
- Switzerland
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Heuser J, Höfener S. Analytical nuclear excited-state gradients for the Tamm-Dancoff approximation using uncoupled frozen-density embedding. J Comput Chem 2017; 38:2316-2325. [PMID: 28766728 DOI: 10.1002/jcc.24885] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/02/2017] [Revised: 06/24/2017] [Accepted: 06/27/2017] [Indexed: 11/11/2022]
Abstract
We report the derivation and implementation of analytical nuclear gradients for excited states using time-dependent density functional theory using the Tamm-Dancoff approximation combined with uncoupled frozen-density embedding using density fitting. Explicit equations are presented and discussed. The implementation is able to treat singlet as well as triplet states and functionals using the local density approximation, the generalized gradient approximation, combinations with Hartree-Fock exchange (hybrids), and range-separated functionals such as CAM-B3LYP. The new method is benchmarked against supermolecule calculations in two case studies: The solvatochromic shift of the (vertical) fluorescence energy of 4-aminophthalimide on solvation, and the first local excitation of the benzonitrile dimer. Whereas for the 4-aminophthalimide-water complex deviations of about 0.2 eV are obtained to supermolecular calculations, for the benzonitrile dimer the maximum error for adiabatic excitation energies is below 0.01 eV due to a weak coupling of the subsystems. © 2017 Wiley Periodicals, Inc.
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Affiliation(s)
- Johannes Heuser
- Institut für Physikalische Chemie, Fakultät für Chemie und Biowissenschaften, Karlsruher Institut für Technologie (KIT), D-76131, Karlsruhe
| | - Sebastian Höfener
- Institut für Physikalische Chemie, Fakultät für Chemie und Biowissenschaften, Karlsruher Institut für Technologie (KIT), D-76131, Karlsruhe
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Tamukong PK, Khait YG, Hoffmann MR. Accurate Dissociation of Chemical Bonds Using DFT-in-DFT Embedding Theory with External Orbital Orthogonality. J Phys Chem A 2016; 121:256-264. [DOI: 10.1021/acs.jpca.6b09909] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Patrick K. Tamukong
- Chemistry Department, University of North Dakota, Grand
Forks, North Dakota 58202, United States
| | - Yuriy G. Khait
- Chemistry Department, University of North Dakota, Grand
Forks, North Dakota 58202, United States
| | - Mark R. Hoffmann
- Chemistry Department, University of North Dakota, Grand
Forks, North Dakota 58202, United States
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Schlüns D, Franchini M, Götz AW, Neugebauer J, Jacob CR, Visscher L. Analytical gradients for subsystem density functional theory within the slater-function-based amsterdam density functional program. J Comput Chem 2016; 38:238-249. [DOI: 10.1002/jcc.24670] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/15/2016] [Revised: 10/14/2016] [Accepted: 10/19/2016] [Indexed: 11/09/2022]
Affiliation(s)
- Danny Schlüns
- Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Westfälische Wilhelms-Universität Münster; Corrensstraße 40 Münster 48149 Germany
| | - Mirko Franchini
- Amsterdam Center for Multiscale Modeling; Vrije Universiteit Amsterdam; De Boelelaan 1083 HV Amsterdam 1081 The Netherlands
- Scientific Computing & Modelling NV; Vrije Universiteit; Theoretical Chemistry, De Boelelaan 1083 HV Amsterdam 1081 The Netherlands
| | - Andreas W. Götz
- San Diego Supercomputer Center; University of California San Diego; 9500 Gilman Drive La Jolla, California 92093-0505 USA
| | - Johannes Neugebauer
- Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Westfälische Wilhelms-Universität Münster; Corrensstraße 40 Münster 48149 Germany
| | - Christoph R. Jacob
- Institute of Physical and Theoretical Chemistry; TU Braunschweig, Hans-Sommer-Straße 10 Braunschweig 38106 Germany
| | - Lucas Visscher
- Amsterdam Center for Multiscale Modeling; Vrije Universiteit Amsterdam; De Boelelaan 1083 HV Amsterdam 1081 The Netherlands
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Genova A, Ceresoli D, Pavanello M. Avoiding fractional electrons in subsystem DFT based ab-initio molecular dynamics yields accurate models for liquid water and solvated OH radical. J Chem Phys 2016; 144:234105. [DOI: 10.1063/1.4953363] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Alessandro Genova
- Department of Chemistry, Rutgers University, Newark, New Jersey 07102, USA
| | - Davide Ceresoli
- CNR-ISTM: Institute of Molecular Sciences and Technologies, Milano, Italy
| | - Michele Pavanello
- Department of Chemistry, Rutgers University, Newark, New Jersey 07102, USA
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13
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Heuser J, Höfener S. Wave-function frozen-density embedding: Approximate analytical nuclear ground-state gradients. J Comput Chem 2016; 37:1092-101. [DOI: 10.1002/jcc.24301] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/03/2015] [Revised: 12/15/2015] [Accepted: 12/17/2015] [Indexed: 01/31/2023]
Affiliation(s)
- Johannes Heuser
- Institut für Physikalische Chemie, Fakultät für Chemie und Biowissenschaften, Karlsruher Institut für Technologie (KIT); D-76131 Karlsruhe
| | - Sebastian Höfener
- Institut für Physikalische Chemie, Fakultät für Chemie und Biowissenschaften, Karlsruher Institut für Technologie (KIT); D-76131 Karlsruhe
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14
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Kovyrshin A, Neugebauer J. Analytical gradients for excitation energies from frozen-density embedding. Phys Chem Chem Phys 2016; 18:20955-75. [DOI: 10.1039/c6cp00392c] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Analytical excitation-energy gradients from frozen-density embedding–time-dependent density functional theory are derived and implemented, which are important for photochemistry in complex systems.
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Affiliation(s)
- Arseny Kovyrshin
- Laboratorium für Physikalische Chemie
- ETH Zürich
- 8093 Zürich
- Switzerland
| | - Johannes Neugebauer
- Theoretische Organische Chemie
- Organisch-Chemisches Institut and Center for Multiscale Theory and Simulation
- Westfälische Wilhelms-Universität Münster
- 48149 Münster
- Germany
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15
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Wesolowski TA, Shedge S, Zhou X. Frozen-Density Embedding Strategy for Multilevel Simulations of Electronic Structure. Chem Rev 2015; 115:5891-928. [DOI: 10.1021/cr500502v] [Citation(s) in RCA: 219] [Impact Index Per Article: 24.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Tomasz A. Wesolowski
- Department of Physical Chemistry, University of Geneva, CH-1211 Geneva 4, Switzerland
| | - Sapana Shedge
- Department of Physical Chemistry, University of Geneva, CH-1211 Geneva 4, Switzerland
| | - Xiuwen Zhou
- Department of Physical Chemistry, University of Geneva, CH-1211 Geneva 4, Switzerland
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16
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Śmiga S, Fabiano E, Laricchia S, Constantin LA, Della Sala F. Subsystem density functional theory with meta-generalized gradient approximation exchange-correlation functionals. J Chem Phys 2015; 142:154121. [DOI: 10.1063/1.4917257] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Szymon Śmiga
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Torun, Poland
| | - Eduardo Fabiano
- Istituto Nanoscienze-CNR, Euromediterranean Center for Nanomaterial Modelling and Technology (ECMT), Via per Arnesano 16, I-73100 Lecce, Italy
- Center for Biomolecular Nanotechnologies@UNILE, Istituto Italiano di Tecnologia (IIT), Via Barsanti, 73010 Arnesano, LE, Italy
| | - Savio Laricchia
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Lucian A. Constantin
- Center for Biomolecular Nanotechnologies@UNILE, Istituto Italiano di Tecnologia (IIT), Via Barsanti, 73010 Arnesano, LE, Italy
| | - Fabio Della Sala
- Istituto Nanoscienze-CNR, Euromediterranean Center for Nanomaterial Modelling and Technology (ECMT), Via per Arnesano 16, I-73100 Lecce, Italy
- Center for Biomolecular Nanotechnologies@UNILE, Istituto Italiano di Tecnologia (IIT), Via Barsanti, 73010 Arnesano, LE, Italy
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17
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Schlüns D, Klahr K, Mück-Lichtenfeld C, Visscher L, Neugebauer J. Subsystem-DFT potential-energy curves for weakly interacting systems. Phys Chem Chem Phys 2015; 17:14323-41. [DOI: 10.1039/c4cp04936e] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Subsystem DFT for weakly interacting systems: good at reference geometries, but not necessarily good for potential-energy curves.
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Affiliation(s)
- Danny Schlüns
- Theoretische Organische Chemie
- Organisch-Chemisches Institut and Center for Multiscale Theory and Computation
- 48149 Münster
- Germany
| | - Kevin Klahr
- Theoretische Organische Chemie
- Organisch-Chemisches Institut and Center for Multiscale Theory and Computation
- 48149 Münster
- Germany
| | - Christian Mück-Lichtenfeld
- Theoretische Organische Chemie
- Organisch-Chemisches Institut and Center for Multiscale Theory and Computation
- 48149 Münster
- Germany
| | - Lucas Visscher
- Amsterdam Center for Multiscale Modeling
- Vrije Universiteit Amsterdam
- 1081 HV Amsterdam
- The Netherlands
| | - Johannes Neugebauer
- Theoretische Organische Chemie
- Organisch-Chemisches Institut and Center for Multiscale Theory and Computation
- 48149 Münster
- Germany
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18
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Fabiano E, Laricchia S, Della Sala F. Frozen density embedding with non-integer subsystems' particle numbers. J Chem Phys 2014; 140:114101. [PMID: 24655166 DOI: 10.1063/1.4868033] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We extend the frozen density embedding theory to non-integer subsystems' particles numbers. Different features of this formulation are discussed, with special concern for approximate embedding calculations. In particular, we highlight the relation between the non-integer particle-number partition scheme and the resulting embedding errors. Finally, we provide a discussion of the implications of the present theory for the derivative discontinuity issue and the calculation of chemical reactivity descriptors.
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Affiliation(s)
- Eduardo Fabiano
- National Nanotechnology Laboratory (NNL), Istituto Nanoscienze-CNR, Via per Arnesano 16, I-73100 Lecce, Italy
| | - Savio Laricchia
- National Nanotechnology Laboratory (NNL), Istituto Nanoscienze-CNR, Via per Arnesano 16, I-73100 Lecce, Italy
| | - Fabio Della Sala
- National Nanotechnology Laboratory (NNL), Istituto Nanoscienze-CNR, Via per Arnesano 16, I-73100 Lecce, Italy
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19
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Jacob CR, Neugebauer J. Subsystem density-functional theory. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2014. [DOI: 10.1002/wcms.1175] [Citation(s) in RCA: 229] [Impact Index Per Article: 22.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Affiliation(s)
- Christoph R. Jacob
- Center for Functional Nanostructures and Institute of Physical Chemistry; Karlsruhe Institute of Technology (KIT); Karlsruhe Germany
| | - Johannes Neugebauer
- Theoretische Organische Chemie, Organisch-Chemisches Institut; Westfälische Wilhelms-Universität Münster; Münster Germany
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20
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Tamukong PK, Khait YG, Hoffmann MR. Density Differences in Embedding Theory with External Orbital Orthogonality. J Phys Chem A 2014; 118:9182-200. [DOI: 10.1021/jp5062495] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Patrick K. Tamukong
- Chemistry
Department, University of North Dakota, Grand Forks, North Dakota 58202-9024, United States
| | - Yuriy G. Khait
- Chemistry
Department, University of North Dakota, Grand Forks, North Dakota 58202-9024, United States
| | - Mark R. Hoffmann
- Chemistry
Department, University of North Dakota, Grand Forks, North Dakota 58202-9024, United States
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21
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Götz AW, Autschbach J, Visscher L. Calculation of nuclear spin-spin coupling constants using frozen density embedding. J Chem Phys 2014; 140:104107. [DOI: 10.1063/1.4864053] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Cisneros GA, Karttunen M, Ren P, Sagui C. Classical electrostatics for biomolecular simulations. Chem Rev 2014; 114:779-814. [PMID: 23981057 PMCID: PMC3947274 DOI: 10.1021/cr300461d] [Citation(s) in RCA: 192] [Impact Index Per Article: 19.2] [Reference Citation Analysis] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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23
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Beyhan SM, Götz AW, Visscher L. Bond energy decomposition analysis for subsystem density functional theory. J Chem Phys 2013; 138:094113. [DOI: 10.1063/1.4793629] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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24
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Laricchia S, Fabiano E, Della Sala F. On the accuracy of frozen density embedding calculations with hybrid and orbital-dependent functionals for non-bonded interaction energies. J Chem Phys 2012; 137:014102. [PMID: 22779632 DOI: 10.1063/1.4730748] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We analyze the accuracy of the frozen density embedding (FDE) method, with hybrid and orbital-dependent exchange-correlation functionals, for the calculation of the total interaction energies of weakly interacting systems. Our investigation is motivated by the fact that these approaches require, in addition to the non-additive kinetic energy approximation, also approximate non-additive exact-exchange energies. Despite this further approximation, we find that the hybrid/orbital-dependent FDE approaches can reproduce the total energies with the same accuracy (about 1 mHa) as the one of conventional semi-local functionals. In many cases, thanks to error cancellation effects, hybrid/orbital-dependent approaches yield even the smallest error. A detailed energy-decomposition investigation is presented. Finally, the Becke-exchange functional is found to reproduce accurately the non-additive exact-exchange energies also for non-equilibrium geometries. These performances are rationalized in terms of a reduced-gradient decomposition of the non-additive exchange energy.
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Affiliation(s)
- S Laricchia
- Center for Biomolecular Nanotechnologies @UNILE, Istituto Italiano di Tecnologia (IIT), Via Barsanti, 73010 Arnesano (LE), Italy
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25
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Gurusamy P, Muthukumar K, Rajesh S, Muneeswaran G, Perumal S, Karunakaran C. Theoretical investigation of quinone metabolites of dopamine interaction with DNA – Insights into toxicological effects. J Struct Biol 2012; 180:125-31. [DOI: 10.1016/j.jsb.2012.05.008] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/24/2012] [Revised: 05/11/2012] [Accepted: 05/16/2012] [Indexed: 10/28/2022]
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26
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de Silva P, Wesolowski TA. Exact non-additive kinetic potentials in realistic chemical systems. J Chem Phys 2012; 137:094110. [DOI: 10.1063/1.4749573] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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27
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Wang Y, Sosa CP, Cembran A, Truhlar DG, Gao J. Multilevel X-Pol: a fragment-based method with mixed quantum mechanical representations of different fragments. J Phys Chem B 2012; 116:6781-8. [PMID: 22428657 DOI: 10.1021/jp212399g] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The explicit polarization (X-Pol) method is a fragment-based quantum mechanical model, in which a macromolecular system or other large or complex system in solution is partitioned into monomeric fragments. The present study extends the original X-Pol method, where all fragments are treated using the same electronic structure theory, to multilevel representations, called multilevel X-Pol, in which different electronic structure methods are used to describe different fragments. The multilevel X-Pol method has been implemented into a locally modified version of Gaussian 09. A key ingredient that is used to couple interfragment electrostatic interactions at different levels of theory is the use of the response density for the post-self-consistent-field energy. (The response density is also called the generalized density.) The method is useful for treating fragments in a small region of the system such as a solute molecule or the substrate and amino acids in the active site of an enzyme with a high-level theory, and the fragments in the rest of the system by a lower-level and computationally more efficient method. Multilevel X-Pol is illustrated here by applications to hydrogen bonding complexes in which one fragment is treated with the hybrid M06 density functional, Møller-Plesset perturbation theory, or coupled cluster theory, and the other fragments are treated by Hartree-Fock theory or the B3LYP or M06 hybrid density functionals.
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Affiliation(s)
- Yingjie Wang
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
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28
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29
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Li JH, Chai JD, Guo GY, Hayashi M. Significant role of the DNA backbone in mediating the transition origin of electronic excitations of B-DNA – implication from long range corrected TDDFT and quantified NTO analysis. Phys Chem Chem Phys 2012; 14:9092-103. [DOI: 10.1039/c2cp23676a] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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30
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Aquilante F, Wesołowski TA. Self-consistency in frozen-density embedding theory based calculations. J Chem Phys 2011; 135:084120. [DOI: 10.1063/1.3624888] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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31
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Fradelos G, Wesołowski TA. Importance of the Intermolecular Pauli Repulsion in Embedding Calculations for Molecular Properties: The Case of Excitation Energies for a Chromophore in Hydrogen-Bonded Environments. J Phys Chem A 2011; 115:10018-26. [DOI: 10.1021/jp203192g] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Georgios Fradelos
- Département de Chimie Physique, Université de Genève, 30, quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Tomasz A. Wesołowski
- Département de Chimie Physique, Université de Genève, 30, quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
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32
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Fradelos G, Lutz JJ, Wesołowski TA, Piecuch P, Włoch M. Embedding vs Supermolecular Strategies in Evaluating the Hydrogen-Bonding-Induced Shifts of Excitation Energies. J Chem Theory Comput 2011. [DOI: 10.1021/ct200101x] [Citation(s) in RCA: 54] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Georgios Fradelos
- Département de Chimie Physique, Université de Genève, 30, quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Jesse J. Lutz
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, United States
| | - Tomasz A. Wesołowski
- Département de Chimie Physique, Université de Genève, 30, quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, United States
| | - Marta Włoch
- Department of Chemistry, Michigan Technological University, Houghton, Michigan 49931, United States
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33
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Goodpaster JD, Barnes TA, Miller TF. Embedded density functional theory for covalently bonded and strongly interacting subsystems. J Chem Phys 2011; 134:164108. [DOI: 10.1063/1.3582913] [Citation(s) in RCA: 82] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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34
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Mo Y, Bao P, Gao J. Energy decomposition analysis based on a block-localized wavefunction and multistate density functional theory. Phys Chem Chem Phys 2011; 13:6760-75. [PMID: 21369567 PMCID: PMC3719994 DOI: 10.1039/c0cp02206c] [Citation(s) in RCA: 182] [Impact Index Per Article: 14.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
An interaction energy decomposition analysis method based on the block-localized wavefunction (BLW-ED) approach is described. The first main feature of the BLW-ED method is that it combines concepts of valence bond and molecular orbital theories such that the intermediate and physically intuitive electron-localized states are variationally optimized by self-consistent field calculations. Furthermore, the block-localization scheme can be used both in wave function theory and in density functional theory, providing a useful tool to gain insights on intermolecular interactions that would otherwise be difficult to obtain using the delocalized Kohn-Sham DFT. These features allow broad applications of the BLW method to energy decomposition (BLW-ED) analysis for intermolecular interactions. In this perspective, we outline theoretical aspects of the BLW-ED method, and illustrate its applications in hydrogen-bonding and π-cation intermolecular interactions as well as metal-carbonyl complexes. Future prospects on the development of a multistate density functional theory (MSDFT) are presented, making use of block-localized electronic states as the basis configurations.
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Affiliation(s)
- Yirong Mo
- Department of Chemistry, Western Michigan University, Kalamazoo, Michigan 49008, USA.
| | - Peng Bao
- Department of Chemistry, Smith Hall, Digital Technology Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA.
| | - Jiali Gao
- Department of Chemistry, Smith Hall, Digital Technology Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA.
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35
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Zhou X, Kaminski JW, Wesolowski TA. Multi-scale modelling of solvatochromic shifts from frozen-density embedding theory with non-uniform continuum model of the solvent: the coumarin 153 case. Phys Chem Chem Phys 2011; 13:10565-76. [DOI: 10.1039/c0cp02874f] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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36
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Fux S, Reiher M. Electron Density in Quantum Theory. ELECTRON DENSITY AND CHEMICAL BONDING II 2011. [DOI: 10.1007/430_2010_37] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
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37
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Fradelos G, Wesolowski TA. The Importance of Going beyond Coulombic Potential in Embedding Calculations for Molecular Properties: The Case of Iso-G for Biliverdin in Protein-Like Environment. J Chem Theory Comput 2010; 7:213-22. [DOI: 10.1021/ct100415h] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Georgios Fradelos
- Université de Genève, Département de Chimie Physique 30, quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Tomasz A. Wesolowski
- Université de Genève, Département de Chimie Physique 30, quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
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38
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Laricchia S, Fabiano E, Della Sala F. Frozen density embedding with hybrid functionals. J Chem Phys 2010; 133:164111. [DOI: 10.1063/1.3494537] [Citation(s) in RCA: 44] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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39
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Beyhan SM, Götz AW, Jacob CR, Visscher L. The weak covalent bond in NgAuF (Ng=Ar, Kr, Xe): A challenge for subsystem density functional theory. J Chem Phys 2010; 132:044114. [DOI: 10.1063/1.3297886] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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40
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Götz AW, Beyhan SM, Visscher L. Performance of Kinetic Energy Functionals for Interaction Energies in a Subsystem Formulation of Density Functional Theory. J Chem Theory Comput 2009; 5:3161-74. [DOI: 10.1021/ct9001784] [Citation(s) in RCA: 101] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Andreas W. Götz
- VU University Amsterdam, Theoretical Chemistry, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - S. Maya Beyhan
- VU University Amsterdam, Theoretical Chemistry, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - Lucas Visscher
- VU University Amsterdam, Theoretical Chemistry, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
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41
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Cembran A, Song L, Mo Y, Gao J. Block-Localized Density Functional Theory (BLDFT), Diabatic Coupling, and Their Use in Valence Bond Theory for Representing Reactive Potential Energy Surfaces. J Chem Theory Comput 2009; 5:2702-2716. [PMID: 20228960 PMCID: PMC2836602 DOI: 10.1021/ct9002898] [Citation(s) in RCA: 98] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
Abstract
A multistate density functional theory in the framework of the valence bond model is described. The method is based on a block-localized density functional theory (BLDFT) for the construction of valence-bond-like diabatic electronic states and is suitable for the study of electron transfer reactions and for the representation of reactive potential energy surfaces. The method is equivalent to a valence bond theory with the treatment of the localized configurations by using density functional theory (VBDFT). In VBDFT, the electron densities and energies of the valence bond states are determined by BLDFT. A functional estimate of the off-diagonal matrix elements of the VB Hamiltonian is proposed, making use of the overlap integral between Kohn-Sham determinants and the exchange-correlation functional for the ground state substituted with the transition (exchange) density. In addition, we describe an approximate approach, in which the off-diagonal matrix element is computed by wave function theory using block-localized Kohn-Sham orbitals. The key feature is that the electron density of the adiabatic ground state is not directly computed nor used to obtain the ground-state energy; the energy is determined by diagonalization of the multistate valence bond Hamiltonian. This represents a departure from the standard single-determinant Kohn-Sham density functional theory. The multistate VBDFT method is illustrated by the bond dissociation of H2+ and a set of three nucleophilic substitution reactions in the DBH24 database. In the dissociation of H2+, the VBDFT method yields the correct asymptotic behavior as the two protons stretch to infinity, whereas approximate functionals fail badly. For the S(N)2 nucleophilic substitution reactions, the hybrid functional B3LYP severely underestimates the barrier heights, while the approximate two-state VBDFT method overcomes the self-interaction error, and overestimates the barrier heights. Inclusion of the ionic state in a three-state model, VBDFT(3), significantly improves the computed barrier heights, which are found to be in accord with accurate results. The BLDFT method is a versatile theory that can be used to analyze conventional DFT results to gain insight into chemical bonding properties, and it is illustrated by examining the intricate energy contributions to the ion-dipole complex stabilization.
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Affiliation(s)
- Alessandro Cembran
- Department of Chemistry, Digital Technology Center and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455
| | - Lingchun Song
- Department of Chemistry, Digital Technology Center and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455
| | - Yirong Mo
- Department of Chemistry, Western Michigan University, Kalamazoo, Michigan 49008
| | - Jiali Gao
- Department of Chemistry, Digital Technology Center and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455
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42
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Fradelos G, Kaminski JW, Wesolowski TA, Leutwyler S. Cooperative Effect of Hydrogen-Bonded Chains in the Environment of a π → π* Chromophore. J Phys Chem A 2009; 113:9766-71. [DOI: 10.1021/jp906483z] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Georgios Fradelos
- Département de Chimie Physique, Université de Genève, 30 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland, and Departement für Chemie und Biochemie, Freiestrasse 3, CH-3012 Bern, Switzerland
| | - Jakub W. Kaminski
- Département de Chimie Physique, Université de Genève, 30 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland, and Departement für Chemie und Biochemie, Freiestrasse 3, CH-3012 Bern, Switzerland
| | - Tomasz A. Wesolowski
- Département de Chimie Physique, Université de Genève, 30 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland, and Departement für Chemie und Biochemie, Freiestrasse 3, CH-3012 Bern, Switzerland
| | - Samuel Leutwyler
- Département de Chimie Physique, Université de Genève, 30 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland, and Departement für Chemie und Biochemie, Freiestrasse 3, CH-3012 Bern, Switzerland
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43
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Jacob CR, Neugebauer J, Visscher L. A flexible implementation of frozen-density embedding for use in multilevel simulations. J Comput Chem 2008; 29:1011-8. [DOI: 10.1002/jcc.20861] [Citation(s) in RCA: 126] [Impact Index Per Article: 7.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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