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Balint-Kurti GG, Broer R, Budzelaar PHM, van Dam HJJ, Dijkstra F, Eshuis H, Groenenboom GC, Guest MF, Havenith RWA, Meijer AJHM, van Mourik T, Rashid Z. Memorial Viewpoint for Joop van Lenthe. J Phys Chem A 2022; 126:7415-7417. [PMID: 36215137 DOI: 10.1021/acs.jpca.2c06949] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
| | - Ria Broer
- University of Groningen, Groningen 9747 AG, The Netherlands
| | | | | | - Fokke Dijkstra
- University of Groningen, Groningen 9747 AG, The Netherlands
| | - Henk Eshuis
- Montclair State University, Montclair 07043, United States
| | | | | | - Remco W A Havenith
- University of Groningen, Groningen 9747 AG, The Netherlands.,University of Ghent, Ghent 9000, Belgium
| | | | | | - Zahid Rashid
- Quaid-i-Azam University, Islamabad 15320, Pakistan
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Chen Z, Wu W. Ab initio valence bond theory: A brief history, recent developments, and near future. J Chem Phys 2020; 153:090902. [PMID: 32891101 DOI: 10.1063/5.0019480] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Abstract
This Perspective presents a survey of several issues in ab initio valence bond (VB) theory with a primary focus on recent advances made by the Xiamen VB group, including a brief review of the earlier history of the ab initio VB methods, in-depth discussion of algorithms for nonorthogonal orbital optimization in the VB self-consistent field method and VB methods incorporating dynamic electron correlation, along with a concise overview of VB methods for complex systems and VB models for chemical bonding and reactivity, and an outlook of opportunities and challenges for the near future of the VB theory.
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Affiliation(s)
- Zhenhua Chen
- Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, The State Key Laboratory of Physical Chemistry of Solid Surfaces, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Wei Wu
- Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, The State Key Laboratory of Physical Chemistry of Solid Surfaces, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
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3
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Racine J, Carissan Y, Hagebaum-Reignier D, Humbel S. A generalized Brillouin theorem (GBT)-like implementation to optimize Valence Bond wave function for excited states. COMPUT THEOR CHEM 2017. [DOI: 10.1016/j.comptc.2017.01.019] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Knecht S, Keller S, Autschbach J, Reiher M. A Nonorthogonal State-Interaction Approach for Matrix Product State Wave Functions. J Chem Theory Comput 2016; 12:5881-5894. [PMID: 27951678 DOI: 10.1021/acs.jctc.6b00889] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023]
Abstract
We present a state-interaction approach for matrix product state (MPS) wave functions in a nonorthogonal molecular orbital basis. Our approach allows us to calculate, for example, transition and spin-orbit coupling matrix elements between arbitrary electronic states, provided that they share the same one-electron basis functions and size of the active orbital space, respectively. The key element is the transformation of the MPS wave functions of different states from a nonorthogonal to a biorthonormal molecular orbital basis representation, by exploiting a sequence of nonunitary transformations, following a proposal by Malmqvist [Int. J. Quantum Chem. 1986, 30, 479]. This is well-known for traditional wave function parametrizations but has not yet been exploited for MPS wave functions.
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Affiliation(s)
- Stefan Knecht
- Laboratorium für Physikalische Chemie, ETH Zürich , Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Sebastian Keller
- Laboratorium für Physikalische Chemie, ETH Zürich , Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Jochen Autschbach
- Department of Chemistry, University at Buffalo, State University of New York , New York 14260-3000, United States
| | - Markus Reiher
- Laboratorium für Physikalische Chemie, ETH Zürich , Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
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5
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Gong X, Chen Z, Wu W. The application of cholesky decomposition in valence bond calculation. J Comput Chem 2016; 37:2157-62. [DOI: 10.1002/jcc.24442] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2016] [Accepted: 06/07/2016] [Indexed: 11/11/2022]
Affiliation(s)
- Xiping Gong
- The State Key Laboratory of Physical Chemistry of Solid Surfaces; iChEM, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry and College of Chemistry and Chemical Engineering, Xiamen University; Xiamen Fujian 361005 China
| | - Zhenhua Chen
- The State Key Laboratory of Physical Chemistry of Solid Surfaces; iChEM, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry and College of Chemistry and Chemical Engineering, Xiamen University; Xiamen Fujian 361005 China
| | - Wei Wu
- The State Key Laboratory of Physical Chemistry of Solid Surfaces; iChEM, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry and College of Chemistry and Chemical Engineering, Xiamen University; Xiamen Fujian 361005 China
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Olsen J. Novel methods for configuration interaction and orbital optimization for wave functions containing non-orthogonal orbitals with applications to the chromium dimer and trimer. J Chem Phys 2015; 143:114102. [DOI: 10.1063/1.4929724] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
Affiliation(s)
- Jeppe Olsen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
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Poelmans W, Van Raemdonck M, Verstichel B, De Baerdemacker S, Torre A, Lain L, Massaccesi GE, Alcoba DR, Bultinck P, Van Neck D. Variational Optimization of the Second-Order Density Matrix Corresponding to a Seniority-Zero Configuration Interaction Wave Function. J Chem Theory Comput 2015; 11:4064-76. [DOI: 10.1021/acs.jctc.5b00378] [Citation(s) in RCA: 40] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ward Poelmans
- Center
for Molecular Modeling, Ghent University, Technologiepark 903, 9052 Zwijnaarde, Belgium
| | - Mario Van Raemdonck
- Department
of Inorganic and Physical Chemistry, Ghent University, Krijgslaan
281 (S3), 9000 Gent, Belgium
| | - Brecht Verstichel
- Center
for Molecular Modeling, Ghent University, Technologiepark 903, 9052 Zwijnaarde, Belgium
| | - Stijn De Baerdemacker
- Center
for Molecular Modeling, Ghent University, Technologiepark 903, 9052 Zwijnaarde, Belgium
- Department
of Inorganic and Physical Chemistry, Ghent University, Krijgslaan
281 (S3), 9000 Gent, Belgium
| | - Alicia Torre
- Departamento
de Química Física, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644, E-48080 Bilbao, Spain
| | - Luis Lain
- Departamento
de Química Física, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644, E-48080 Bilbao, Spain
| | - Gustavo E. Massaccesi
- Departamento
de Ciencias Exactas, Ciclo Básico Común, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
| | - Diego R. Alcoba
- Departamento
de Física, Facultad de Ciencias Exactas y Naturales, Universidad
de Buenos Aires and Instituto de Física de Buenos Aires, Consejo
Nacional de Investigaciones Científicas y Técnicas, Ciudad Universitaria, 1428 Buenos Aires, Argentina
| | - Patrick Bultinck
- Department
of Inorganic and Physical Chemistry, Ghent University, Krijgslaan
281 (S3), 9000 Gent, Belgium
| | - Dimitri Van Neck
- Center
for Molecular Modeling, Ghent University, Technologiepark 903, 9052 Zwijnaarde, Belgium
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Chen X, Chen Z, Wu W. Nonorthogonal orbital based N-body reduced density matrices and their applications to valence bond theory. IV. The automatic implementation of the Hessian based VBSCF method. J Chem Phys 2014; 141:194113. [DOI: 10.1063/1.4901729] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Xun Chen
- The State Key Laboratory of Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Zhenhua Chen
- The State Key Laboratory of Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Wei Wu
- The State Key Laboratory of Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
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