1
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Johnson PA. Beyond a Richardson-Gaudin Mean-Field: Slater-Condon Rules and Perturbation Theory. J Phys Chem A 2024; 128:6033-6045. [PMID: 39007410 DOI: 10.1021/acs.jpca.4c02857] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/16/2024]
Abstract
Richardson-Gaudin states provide a basis of the Hilbert space for strongly correlated electrons. In this study, optimal expressions for the transition density matrix elements between Richardson-Gaudin states are obtained with a cost comparable with the corresponding reduced density matrix elements. Analogues of the Slater-Condon rules are identified based on the number of near-zero singular values of the RG state overlap matrix. Finally, a perturbative approach is shown to be close in quality to a configuration interaction of Richardson-Gaudin states while being feasible to compute.
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Affiliation(s)
- Paul A Johnson
- Département de Chimie, Université Laval, Québec, Québec G1V 0A6, Canada
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2
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Greiner J, Gianni I, Nottoli T, Lipparini F, Eriksen JJ, Gauss J. MBE-CASSCF Approach for the Accurate Treatment of Large Active Spaces. J Chem Theory Comput 2024; 20:4663-4675. [PMID: 38809011 DOI: 10.1021/acs.jctc.4c00388] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/30/2024]
Abstract
We present a novel implementation of the complete active space self-consistent field (CASSCF) method that makes use of the many-body expanded full configuration interaction (MBE-FCI) method to incrementally approximate electronic structures within large active spaces. On the basis of a hybrid first-order algorithm employing both Super-CI and quasi-Newton strategies for the optimization of molecular orbitals, we demonstrate both computational efficacy and high accuracy of the resulting MBE-CASSCF method. We assess the performance of our implementation on a set of established numerical tests before applying MBE-CASSCF in the investigation of the triplet-quintet spin gap of iron(II) porphyrin with active spaces as large as 50 electrons in 50 orbitals.
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Affiliation(s)
- Jonas Greiner
- Department Chemie, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, Mainz 55128, Germany
| | - Ivan Gianni
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via G. Moruzzi 13, Pisa 56124, Italy
| | - Tommaso Nottoli
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via G. Moruzzi 13, Pisa 56124, Italy
| | - Filippo Lipparini
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via G. Moruzzi 13, Pisa 56124, Italy
| | - Janus J Eriksen
- DTU Chemistry, Technical University of Denmark, Kemitorvet Bldg. 206, Kgs. Lyngby 2800, Denmark
| | - Jürgen Gauss
- Department Chemie, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, Mainz 55128, Germany
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3
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Kossoski F, Loos PF. Seniority and Hierarchy Configuration Interaction for Radicals and Excited States. J Chem Theory Comput 2023. [PMID: 37965728 DOI: 10.1021/acs.jctc.3c00946] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2023]
Abstract
Hierarchy configuration interaction (hCI) has recently been introduced as an alternative configuration interaction (CI) route combining excitation degree and seniority number and has been shown to efficiently recover both dynamic and static correlations for closed-shell molecular systems [ J. Phys. Chem. Lett. 2022, 13, 4342]. Here we generalize hCI for an arbitrary reference determinant, allowing calculations for radicals and excited states in a state-specific way. We gauge this route against excitation-based CI (eCI) and seniority-based CI (sCI) by evaluating how different ground-state properties of radicals converge to the full CI limit. We find that hCI outperforms or matches eCI, whereas sCI is far less accurate, in line with previous observations for closed-shell molecules. Employing second-order Epstein-Nesbet (EN2) perturbation theory as a correction significantly accelerates the convergence of hCI and eCI. We further explore various hCI and sCI models to calculate the excitation energies of closed- and open-shell systems. Our results underline that the choice of both the reference determinant and the set of orbitals drives the fine balance between correlation of ground and excited states. State-specific hCI2 and higher-order models perform similarly to their eCI counterparts, whereas lower orders of hCI deliver poor results unless supplemented by the EN2 correction, which substantially improves their accuracy. In turn, sCI1 produces decent excitation energies for radicals, encouraging the development of related seniority-based coupled-cluster methods.
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Affiliation(s)
- Fábris Kossoski
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, F-31062 Toulouse, France
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, F-31062 Toulouse, France
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4
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An Overview of Self-Consistent Field Calculations Within Finite Basis Sets. Molecules 2020; 25:molecules25051218. [PMID: 32182727 PMCID: PMC7179435 DOI: 10.3390/molecules25051218] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/26/2019] [Revised: 02/12/2020] [Accepted: 02/17/2020] [Indexed: 11/17/2022] Open
Abstract
A uniform derivation of the self-consistent field equations in a finite basis set is presented. Both restricted and unrestricted Hartree-Fock (HF) theory as well as various density functional approximations are considered. The unitary invariance of the HF and density functional models is discussed, paving the way for the use of localized molecular orbitals. The self-consistent field equations are derived in a non-orthogonal basis set, and their solution is discussed also in the presence of linear dependencies in the basis. It is argued why iterative diagonalization of the Kohn-Sham-Fock matrix leads to the minimization of the total energy. Alternative methods for the solution of the self-consistent field equations via direct minimization as well as stability analysis are briefly discussed. Explicit expressions are given for the contributions to the Kohn-Sham-Fock matrix up to meta-GGA functionals. Range-separated hybrids and non-local correlation functionals are summarily reviewed.
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5
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Xu LT, Cooper DL, Dunning TH. Resolving a puzzling anomaly in the spin‐coupled generalized valence bond description of benzene. J Comput Chem 2020; 41:1421-1426. [DOI: 10.1002/jcc.26185] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2019] [Revised: 02/14/2020] [Accepted: 02/17/2020] [Indexed: 11/06/2022]
Affiliation(s)
- Lu T. Xu
- Department of ChemistryUniversity of Washington Seattle Washington USA
| | | | - Thom H. Dunning
- Department of ChemistryUniversity of Washington Seattle Washington USA
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6
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Li C, Evangelista FA. Multireference Theories of Electron Correlation Based on the Driven Similarity Renormalization Group. Annu Rev Phys Chem 2019; 70:245-273. [DOI: 10.1146/annurev-physchem-042018-052416] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
The driven similarity renormalization group (DSRG) provides an alternative way to address the intruder state problem in quantum chemistry. In this review, we discuss recent developments of multireference methods based on the DSRG. We provide a pedagogical introduction to the DSRG and its various extensions and discuss its formal properties in great detail. In addition, we report several illustrative applications of the DSRG to molecular systems.
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Affiliation(s)
- Chenyang Li
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA; emails: ,
| | - Francesco A. Evangelista
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA; emails: ,
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7
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Small DW, Head-Gordon M. Independent amplitude approximations in coupled cluster valence bond theory: Incorporation of 3-electron-pair correlation and application to spin frustration in the low-lying excited states of a ferredoxin-type tetrametallic iron-sulfur cluster. J Chem Phys 2018; 149:144103. [DOI: 10.1063/1.5046318] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- David W. Small
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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8
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Evangelista FA. Perspective: Multireference coupled cluster theories of dynamical electron correlation. J Chem Phys 2018; 149:030901. [DOI: 10.1063/1.5039496] [Citation(s) in RCA: 69] [Impact Index Per Article: 11.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
Affiliation(s)
- Francesco A. Evangelista
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
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9
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Lehtola S, Tubman NM, Whaley KB, Head-Gordon M. Cluster decomposition of full configuration interaction wave functions: A tool for chemical interpretation of systems with strong correlation. J Chem Phys 2017; 147:154105. [DOI: 10.1063/1.4996044] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Susi Lehtola
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Norm M. Tubman
- University of California, Berkeley, California 94720, USA
| | | | - Martin Head-Gordon
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- University of California, Berkeley, California 94720, USA
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10
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Li C, Verma P, Hannon KP, Evangelista FA. A low-cost approach to electronic excitation energies based on the driven similarity renormalization group. J Chem Phys 2017; 147:074107. [DOI: 10.1063/1.4997480] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
Affiliation(s)
- Chenyang Li
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
| | - Prakash Verma
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
| | - Kevin P. Hannon
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
| | - Francesco A. Evangelista
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
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11
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Small DW, Head-Gordon M. Coupled cluster valence bond theory for open-shell systems with application to very long range strong correlation in a polycarbene dimer. J Chem Phys 2017; 147:024107. [DOI: 10.1063/1.4991797] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- David W. Small
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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12
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Lehtola S, Parkhill J, Head-Gordon M. Orbital optimisation in the perfect pairing hierarchy: applications to full-valence calculations on linear polyacenes. Mol Phys 2017. [DOI: 10.1080/00268976.2017.1342009] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Susi Lehtola
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, United States
| | - John Parkhill
- Department of Chemistry, University of Notre Dame, Notre Dame, IN, United States
| | - Martin Head-Gordon
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, United States
- Department of Chemistry, University of California, Berkeley, CA, United States
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13
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Zimmerman PM. Strong correlation in incremental full configuration interaction. J Chem Phys 2017; 146:224104. [DOI: 10.1063/1.4985566] [Citation(s) in RCA: 42] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
Affiliation(s)
- Paul M. Zimmerman
- Department of Chemistry, University of Michigan, 930 N. University Ave., Ann Arbor, Michigan 48109, USA
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14
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Manzer S, Epifanovsky E, Krylov AI, Head-Gordon M. A General Sparse Tensor Framework for Electronic Structure Theory. J Chem Theory Comput 2017; 13:1108-1116. [DOI: 10.1021/acs.jctc.6b00853] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Samuel Manzer
- Kenneth
S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California − Berkeley, Berkeley, California 94720, United States
- Chemical
Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Evgeny Epifanovsky
- Q-Chem, Inc., 6601 Owens
Drive, Suite 105, Pleasanton, California 94588, United States
| | - Anna I. Krylov
- Department
of Chemistry, University of Southern California, Los Angeles, California 90089, United States
| | - Martin Head-Gordon
- Kenneth
S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California − Berkeley, Berkeley, California 94720, United States
- Chemical
Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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15
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Lee J, Small DW, Epifanovsky E, Head-Gordon M. Coupled-Cluster Valence-Bond Singles and Doubles for Strongly Correlated Systems: Block-Tensor Based Implementation and Application to Oligoacenes. J Chem Theory Comput 2017; 13:602-615. [DOI: 10.1021/acs.jctc.6b01092] [Citation(s) in RCA: 50] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Affiliation(s)
- Joonho Lee
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - David W. Small
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Evgeny Epifanovsky
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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16
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Lehtola S, Parkhill J, Head-Gordon M. Cost-effective description of strong correlation: Efficient implementations of the perfect quadruples and perfect hextuples models. J Chem Phys 2016; 145:134110. [DOI: 10.1063/1.4964317] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Susi Lehtola
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - John Parkhill
- Department of Chemistry, University of Notre Dame, 251 Nieuwland Science Hall, Notre Dame, Indiana 46556, USA
| | - Martin Head-Gordon
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Department of Chemistry, University of California, Berkeley, California 94720, USA
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17
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Lehtola S, Head-Gordon M, Jónsson H. Complex Orbitals, Multiple Local Minima, and Symmetry Breaking in Perdew-Zunger Self-Interaction Corrected Density Functional Theory Calculations. J Chem Theory Comput 2016; 12:3195-207. [PMID: 27232582 DOI: 10.1021/acs.jctc.6b00347] [Citation(s) in RCA: 44] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Implentation of seminumerical stability analysis for calculations using the Perdew-Zunger self-interaction correction is described. It is shown that real-valued solutions of the Perdew-Zunger equations for gas phase atoms are unstable with respect to imaginary orbital rotations, confirming that a proper implementation of the correction requires complex-valued orbitals. The orbital density dependence of the self-interaction corrected functional is found to lead to multiple local minima in the case of the acrylic acid, H6, and benzene molecules. In the case of benzene, symmetry breaking that results in incorrect ground state geometry is found to occur, erroneously leading to alternating bond lengths in the molecule.
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Affiliation(s)
- Susi Lehtola
- Chemical Sciences Division, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States
| | - Martin Head-Gordon
- Chemical Sciences Division, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States.,Department of Chemistry, University of California , Berkeley, California 94720, United States
| | - Hannes Jónsson
- Faculty of Physical Sciences, University of Iceland , 107 Reykjavík, Iceland.,Department of Applied Physics, Aalto University School of Science , P.O. Box 11000, FI-00076 Aalto, Espoo, Finland
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18
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Tian YH, Sumpter BG, Du S, Huang J. Pancake π-π Bonding Goes Double: Unexpected 4e/All-Sites Bonding in Boron- and Nitrogen-Doped Phenalenyls. J Phys Chem Lett 2015; 6:2318-2325. [PMID: 26266612 DOI: 10.1021/acs.jpclett.5b00857] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Chemical bonding interactions are the main driving force for the formation of molecules and materials from atoms. The two-electron/multicenter pancake π-π bonding found in phenalenyl (PLY, 1) radical π-dimers is intriguing due to its unconventional nature of covalent bonding for molecular aggregations and its propensity to induce unique optical, electronic, and magnetic properties. By using high-level quantum chemistry calculations, we show that the B- or N-doped PLYs (2 and 4), usually considered closed-shell and therefore trifling, can be rendered open-shell singlet by proper edge substitutions (3 and 5). The resulting two unpaired valence electrons on each molecular unit contribute to the formation of a genuine pancake-shaped 4e/all-sites double π-π bonding upon intermolecular π-dimerization, in contrast to the 2e/half-sites single π-π bonding in the parent PLY π-dimers. The unusual double π-π bonding motif discovered in these PLY analogues may broaden the landscape of, and find new applications for, intermolecular covalent bonding interactions.
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Affiliation(s)
- Yong-Hui Tian
- †College of Life Science, Research Center of Analytical Instrumentation, Key Laboratory of Bio-resource and Eco-environment of Ministry of Education, Sichuan University, Chengdu, Sichuan 610064, People's Republic of China
| | | | - Shiyu Du
- §Division of Functional Materials and Nanodevices, Ningbo Institute of Materials Technology and Engineering, Chinese Academy of Science, Ningbo, Zhejiang 315201, People's Republic of China
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19
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Small DW, Sundstrom EJ, Head-Gordon M. Restricted Hartree Fock using complex-valued orbitals: A long-known but neglected tool in electronic structure theory. J Chem Phys 2015; 142:024104. [DOI: 10.1063/1.4905120] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- David W. Small
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Eric J. Sundstrom
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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20
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Mayhall NJ, Head-Gordon M. Computational quantum chemistry for single Heisenberg spin couplings made simple: Just one spin flip required. J Chem Phys 2014; 141:134111. [DOI: 10.1063/1.4896659] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Affiliation(s)
- Nicholas J. Mayhall
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Martin Head-Gordon
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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21
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Mayhall NJ, Horn PR, Sundstrom EJ, Head-Gordon M. Spin–flip non-orthogonal configuration interaction: a variational and almost black-box method for describing strongly correlated molecules. Phys Chem Chem Phys 2014; 16:22694-705. [DOI: 10.1039/c4cp02818j] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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22
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Mayhall NJ, Head-Gordon M. Increasing spin-flips and decreasing cost: Perturbative corrections for external singles to the complete active space spin flip model for low-lying excited states and strong correlation. J Chem Phys 2014; 141:044112. [DOI: 10.1063/1.4889918] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
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23
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Neuscamman E. The Jastrow antisymmetric geminal power in Hilbert space: Theory, benchmarking, and application to a novel transition state. J Chem Phys 2013; 139:194105. [DOI: 10.1063/1.4829835] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023] Open
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24
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Steinmann SN, Yang W. Wave function methods for fractional electrons. J Chem Phys 2013; 139:074107. [DOI: 10.1063/1.4817849] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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25
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Bell F, Zimmerman PM, Casanova D, Goldey M, Head-Gordon M. Restricted active space spin-flip (RAS-SF) with arbitrary number of spin-flips. Phys Chem Chem Phys 2013; 15:358-66. [DOI: 10.1039/c2cp43293e] [Citation(s) in RCA: 59] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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26
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Neuscamman E. Size consistency error in the antisymmetric geminal power wave function can be completely removed. PHYSICAL REVIEW LETTERS 2012; 109:203001. [PMID: 23215480 DOI: 10.1103/physrevlett.109.203001] [Citation(s) in RCA: 61] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/12/2012] [Indexed: 06/01/2023]
Abstract
The accurate but expensive product of geminals ansatz may be approximated by a geminal power, but this approach sacrifices size consistency. Here, we show both analytically and numerically that a size consistent form very similar to the product of geminals can be recovered using a network of location-specific Jastrow factors. Upon variational energy minimization, the network creates particle number projections that remove the charge fluctuations responsible for size inconsistency. This polynomial cost approach captures strong many-electron correlations, giving a maximum error of just 1.8 kcal/mol during the double-bond dissociation of H(2)O in an STO-3G atomic orbital basis.
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Affiliation(s)
- Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, California 94720, USA.
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27
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Liu YJ, Roca-Sanjuán D, Lindh R. Computational Photochemistry and Photophysics: the state of the art. PHOTOCHEMISTRY 2012. [DOI: 10.1039/9781849734882-00042] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Abstract
This review starts with the most basic concepts in photochemistry and photophysics, followed by a chronological introduction of theoretical methods and relevant applications in the history of computational photochemistry, along with the authors’ comments on the methodologies currently available for photochemical studies. Recent advances in the field are next summarized and discussed, focusing separately on methodology and computational techniques and some highlighted applied works carried out during the last two years on the topics of photodissociations, photostability, photodimerizations, photoisomerizations, proton/hydrogen transfer, photodecarboxylations, charge transport, bioexcimers, chemiluminescence and bioluminescence. We finish this review by conclusions and an outlook of the future.
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Affiliation(s)
- Ya-Jun Liu
- Key Laboratory of Theoretical and Computational Photochemistry, Ministry of Education, College of Chemistry Beijing Normal University Beijing China
| | - Daniel Roca-Sanjuán
- Department of Chemistry - Ångström, Theoretical Chemistry Programme Uppsala University Uppsala Sweden
| | - Roland Lindh
- Department of Chemistry - Ångström, Theoretical Chemistry Programme Uppsala University Uppsala Sweden
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28
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Small DW, Head-Gordon M. A fusion of the closed-shell coupled cluster singles and doubles method and valence-bond theory for bond breaking. J Chem Phys 2012; 137:114103. [DOI: 10.1063/1.4751485] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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29
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Robinson JB, Knowles PJ. Benchmark Quasi-Variational Coupled Cluster Calculations of Multiple Bond Breaking. J Chem Theory Comput 2012; 8:2653-60. [DOI: 10.1021/ct300416b] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Affiliation(s)
- James B. Robinson
- School of Chemistry, Cardiff University,
Main Building, Park Place, Cardiff CF10 3AT, United Kingdom
| | - Peter J. Knowles
- School of Chemistry, Cardiff University,
Main Building, Park Place, Cardiff CF10 3AT, United Kingdom
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Shen J, Piecuch P. Biorthogonal moment expansions in coupled-cluster theory: Review of key concepts and merging the renormalized and active-space coupled-cluster methods. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.11.033] [Citation(s) in RCA: 52] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
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Lyakh DI, Musiał M, Lotrich VF, Bartlett RJ. Multireference Nature of Chemistry: The Coupled-Cluster View. Chem Rev 2011; 112:182-243. [DOI: 10.1021/cr2001417] [Citation(s) in RCA: 363] [Impact Index Per Article: 27.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Dmitry I. Lyakh
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, United States
| | - Monika Musiał
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, United States
| | - Victor F. Lotrich
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, United States
| | - Rodney J. Bartlett
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, United States
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Bozkaya U. Orbital-optimized third-order Møller-Plesset perturbation theory and its spin-component and spin-opposite scaled variants: Application to symmetry breaking problems. J Chem Phys 2011; 135:224103. [DOI: 10.1063/1.3665134] [Citation(s) in RCA: 51] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Parkhill JA, Head-Gordon M. A truncation hierarchy of coupled cluster models of strongly correlated systems based on perfect-pairing references: The singles+doubles models. J Chem Phys 2010; 133:124102. [DOI: 10.1063/1.3483556] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Gidofalvi G, Shepard R. Exploiting sparsity in the graphically contracted function configuration interaction method. Mol Phys 2010. [DOI: 10.1080/00268976.2010.521779] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Gergely Gidofalvi
- a Chemical Sciences and Engineering Division , Argonne National Laboratory , Argonne , IL, 60439
| | - Ron Shepard
- a Chemical Sciences and Engineering Division , Argonne National Laboratory , Argonne , IL, 60439
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