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Park JW, Al-Saadon R, MacLeod MK, Shiozaki T, Vlaisavljevich B. Multireference Electron Correlation Methods: Journeys along Potential Energy Surfaces. Chem Rev 2020; 120:5878-5909. [PMID: 32239929 DOI: 10.1021/acs.chemrev.9b00496] [Citation(s) in RCA: 77] [Impact Index Per Article: 19.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
Multireference electron correlation methods describe static and dynamical electron correlation in a balanced way and, therefore, can yield accurate and predictive results even when single-reference methods or multiconfigurational self-consistent field theory fails. One of their most prominent applications in quantum chemistry is the exploration of potential energy surfaces. This includes the optimization of molecular geometries, such as equilibrium geometries and conical intersections and on-the-fly photodynamics simulations, both of which depend heavily on the ability of the method to properly explore the potential energy surface. Because such applications require nuclear gradients and derivative couplings, the availability of analytical nuclear gradients greatly enhances the scope of quantum chemical methods. This review focuses on the developments and advances made in the past two decades. A detailed account of the analytical nuclear gradient and derivative coupling theories is presented. Emphasis is given to the software infrastructure that allows one to make use of these methods. Notable applications of multireference electron correlation methods to chemistry, including geometry optimizations and on-the-fly dynamics, are summarized at the end followed by a discussion of future prospects.
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Affiliation(s)
- Jae Woo Park
- Department of Chemistry, Chungbuk National University, Chungdae-ro 1, Cheongju 28644, Korea
| | - Rachael Al-Saadon
- Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, United States
| | - Matthew K MacLeod
- Workday, 4900 Pearl Circle East, Suite 100, Boulder, Colorado 80301, United States
| | - Toru Shiozaki
- Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, United States.,Quantum Simulation Technologies, Inc., 625 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
| | - Bess Vlaisavljevich
- Department of Chemistry, University of South Dakota, 414 East Clark Street, Vermillion, South Dakota 57069, United States
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Samanta PK, Köhn A. First-order properties from internally contracted multireference coupled-cluster theory with particular focus on hyperfine coupling tensors. J Chem Phys 2018; 149:064101. [DOI: 10.1063/1.5040587] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
| | - Andreas Köhn
- Institut für Theoretische Chemie, Universität Stuttgart, D-70569 Stuttgart, Germany
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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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Lang J, Švaňa M, Demel O, Brabec J, Kedžuch S, Noga J, Kowalski K, Pittner J. A MRCC study of the isomerisation of cyclopropane. Mol Phys 2017. [DOI: 10.1080/00268976.2017.1317112] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Jakub Lang
- J. Heyrovsky Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Prague 8, Czech Republic
- Faculty of Science, Charles University in Prague, Prague 2, Czech Republic
| | - Matej Švaňa
- J. Heyrovsky Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Prague 8, Czech Republic
| | - Ondřej Demel
- J. Heyrovsky Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Prague 8, Czech Republic
| | - Jiri Brabec
- J. Heyrovsky Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Prague 8, Czech Republic
| | - Stanislav Kedžuch
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Bratislava, Slovakia
| | - Jozef Noga
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Bratislava, Slovakia
- Department of Inorganic Chemistry, Faculty of Natural Sciences, Comenius University, Bratislava, Slovakia
| | - Karol Kowalski
- William R. Wiley Environmental Molecular Sciences Laboratory, Battelle, Pacific Northwest National Laboratory, Richland, WA 99352, USA
| | - Jiří Pittner
- J. Heyrovsky Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Prague 8, Czech Republic
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Brabec J, Banik S, Kowalski K, Pittner J. Perturbative universal state-selective correction for state-specific multi-reference coupled cluster methods. J Chem Phys 2016; 145:164106. [PMID: 27802607 DOI: 10.1063/1.4965826] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this work, we report an extension of our previous development of the universal state-selective (USS) multireference coupled-cluster (MRCC) formalism. It was shown [Brabec et al., J. Chem. Phys. 136, 124102 (2012)] and [Banik et al., J. Chem. Phys. 142, 114106 (2015)] that the USS(2) approach significantly improves the accuracy of Brillouin-Wigner and Mukherjee MRCC formulations, however, the numerical and storage costs associated with calculating highly excited intermediates pose a significant challenge, which can restrict the applicability of the USS(2) method. Therefore, we introduce a perturbative variant of the USS(2) approach (USS(pt)), which substantially reduces numerical overhead of the full USS(2) correction while preserving its accuracy. Since the new USS(pt) implementation calculates the triple and quadruple projections in on-the-fly manner, the memory bottleneck associated with the need of storing expensive recursive intermediates is entirely eliminated. On the example of several benchmark systems, we demonstrate accuracies of USS(pt) and USS(2) approaches and their efficiency in describing quasidegenerate electronic states. It is also shown that the USS(pt) method significantly alleviates problems associated with the lack of invariance of MRCC theories upon the rotation of active orbitals.
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Affiliation(s)
- Jiri Brabec
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, CZ-18223 Prague 8, Czech Republic
| | - Subrata Banik
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, CZ-18223 Prague 8, Czech Republic
| | - Karol Kowalski
- William R. Wiley Environmental Molecular Sciences Laboratory, Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999, Richland, Washington 99352, USA
| | - Jiří Pittner
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, CZ-18223 Prague 8, Czech Republic
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Ghosh A, Chaudhuri RK, Chattopadhyay S. Relativistic state-specific multireference coupled cluster theory description for bond-breaking energy surfaces. J Chem Phys 2016; 145:124303. [DOI: 10.1063/1.4962911] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Sinha Ray S, Ghosh A, Chattopadhyay S, Chaudhuri RK. Taming the Electronic Structure of Diradicals through the Window of Computationally Cost Effective Multireference Perturbation Theory. J Phys Chem A 2016; 120:5897-916. [DOI: 10.1021/acs.jpca.6b03211] [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)
- Suvonil Sinha Ray
- Department of Chemistry, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
| | - Anirban Ghosh
- Department of Chemistry, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
| | - Sudip Chattopadhyay
- Department of Chemistry, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
| | - Rajat K. Chaudhuri
- Theoretical Physics, Indian Institute of Astrophysics, Bangalore 560034, India
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Banerjee D, Mondal M, Chattopadhyay S, Mahapatra US. A state-specific multi-reference coupled-cluster approach with a cost-effective treatment of connected triples: implementation to geometry optimisation. Mol Phys 2016. [DOI: 10.1080/00268976.2016.1142126] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- Debi Banerjee
- Department of Physics, Shibpur Dinobundhoo Institution (College), Howrah, India
| | - Monosij Mondal
- Department of Chemistry, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India
| | - Sudip Chattopadhyay
- Department of Chemistry, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India
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Demel O, Pittner J, Neese F. A Local Pair Natural Orbital-Based Multireference Mukherjee’s Coupled Cluster Method. J Chem Theory Comput 2015; 11:3104-14. [DOI: 10.1021/acs.jctc.5b00334] [Citation(s) in RCA: 50] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ondřej Demel
- J.
Heyrovský Institute of Physical Chemistry, v.v.i., Academy of Sciences of the Czech Republic, Dolejškova 3, 18223 Prague 8, Czech Republic
| | - Jiří Pittner
- J.
Heyrovský Institute of Physical Chemistry, v.v.i., Academy of Sciences of the Czech Republic, Dolejškova 3, 18223 Prague 8, Czech Republic
| | - Frank Neese
- Max Planck Institute
of Chemical Energy Conversion, 45470 Mülheim an der Ruhr, Germany
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Banik S, Ravichandran L, Brabec J, Hubač I, Kowalski K, Pittner J. Iterative universal state selective correction for the Brillouin-Wigner multireference coupled-cluster theory. J Chem Phys 2015; 142:114106. [PMID: 25796230 DOI: 10.1063/1.4914311] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
As a further development of the previously introduced a posteriori Universal State-Selective (USS) corrections [K. Kowalski, J. Chem. Phys. 134, 194107 (2011); J. Brabec et al., ibid. 136, 124102 (2012)], we suggest an iterative form of the USS correction by means of correcting effective Hamiltonian matrix elements. We also formulate USS corrections via the left Bloch equations. The convergence of the USS corrections with excitation level towards the full configuration interaction (FCI) limit is also investigated. Various forms of the USS and simplified diagonal USS corrections at the singles and doubles and perturbative triple levels are numerically assessed on several model systems and on the ozone and tetramethyleneethane molecules. It is shown that the iterative USS correction can successfully replace the previously developed a posteriori Brillouin-Wigner coupled cluster size-extensivity correction, while it is not sensitive to intruder states and performs well also in other cases when the a posteriori one fails, like, e.g., for the asymmetric vibration mode of ozone.
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Affiliation(s)
- Subrata Banik
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, CZ-18223 Prague 8, Czech Republic
| | - Lalitha Ravichandran
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, CZ-18223 Prague 8, Czech Republic
| | - Jiří Brabec
- Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Ivan Hubač
- Department of Chemical Physics, Faculty of Mathematics and Physics, Comenius University, 84215 Bratislava, Slovakia
| | - Karol Kowalski
- William R. Wiley Environmental Molecular Sciences Laboratory, Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999, Richland, Washington 99352, USA
| | - Jiří Pittner
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, CZ-18223 Prague 8, Czech Republic
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Dutta AK, Bhattacharya S. Excited state geometry optimisation using Fock-space multi-reference coupled cluster method. Mol Phys 2014. [DOI: 10.1080/00268976.2014.915997] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Demel O, Kedžuch S, Noga J, Pittner J. Perturbative triples correction for explicitly correlated Mukherjee’s state-specific coupled cluster method. Mol Phys 2013. [DOI: 10.1080/00268976.2013.809488] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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13
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Gupta J, Vaval N, Pal S. A Lagrange multiplier approach for excited state properties through intermediate Hamiltonian formulation of Fock space multireference coupled-cluster theory. J Chem Phys 2013; 139:074108. [DOI: 10.1063/1.4817943] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
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Bhaskaran-Nair K, Ma W, Krishnamoorthy S, Villa O, van Dam HJJ, Aprà E, Kowalski K. Noniterative Multireference Coupled Cluster Methods on Heterogeneous CPU–GPU Systems. J Chem Theory Comput 2013; 9:1949-57. [DOI: 10.1021/ct301130u] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Kiran Bhaskaran-Nair
- William R. Wiley Environmental Molecular
Sciences Laboratory,
Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999,
Richland, Washington 99352, United States
| | - Wenjing Ma
- William R. Wiley Environmental Molecular
Sciences Laboratory,
Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999,
Richland, Washington 99352, United States
| | - Sriram Krishnamoorthy
- William R. Wiley Environmental Molecular
Sciences Laboratory,
Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999,
Richland, Washington 99352, United States
| | - Oreste Villa
- William R. Wiley Environmental Molecular
Sciences Laboratory,
Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999,
Richland, Washington 99352, United States
| | - Hubertus J. J. van Dam
- William R. Wiley Environmental Molecular
Sciences Laboratory,
Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999,
Richland, Washington 99352, United States
| | - Edoardo Aprà
- William R. Wiley Environmental Molecular
Sciences Laboratory,
Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999,
Richland, Washington 99352, United States
| | - Karol Kowalski
- William R. Wiley Environmental Molecular
Sciences Laboratory,
Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999,
Richland, Washington 99352, United States
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Köhn A, Hanauer M, Mück LA, Jagau TC, Gauss J. State-specific multireference coupled-cluster theory. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2012. [DOI: 10.1002/wcms.1120] [Citation(s) in RCA: 83] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Mahapatra US, Chattopadhyay S. Potential energy surface studies via a single root multireference coupled cluster theory. J Chem Phys 2012; 133:074102. [PMID: 20726630 DOI: 10.1063/1.3467899] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
Abstract
We have employed complete active space based single root multireference coupled cluster method (the resulting method is referred to by the acronym sr-MRCC) to compute the potential energy surfaces (PESs) of some well studied "protypical model" systems for which a highly accurate and reliable database is available for comparison. As that of state-specific theory, the sr-MRCC approach focuses and correlates one state while using a multiconfigurational reference and thus it naturally avoids intruder states. The present method is structurally different from the well known state specific multireference coupled cluster (SS-MRCC) method introduced by Mahapatra et al. [Mol. Phys. 94, 157 (1998)]. As that of the SS-MRCC theory, the present method is also based on the Jeziorski-Monkhorst ansatz where a different exponential cluster operator exp(T(mu)) acts on its corresponding model function phi(mu). The final cluster finding equations contain coupling between the cluster operators for all the mu, which are mainly responsible to prove the extensivity of both the cluster amplitudes and the energy. The present sr-MRCC theory is size-extensive and size-consistent when localized orbitals are used. The systems considered here exhibit varying degrees of degeneracy at different regions of PES. The treatment of these systems via traditional effective Hamiltonian based methods suffers from divergence problems in the iterative solution of the CC equations (the issue termed as "intruder state"). The sr-MRCC results lie closer to the ones obtained by the SS-MRCC method for these systems. To judge the efficacy of the present method, we have compared our results with other previously published theoretical estimations, which clearly indicate that the present method is reliable in studying the dissociation PES of states plagued by electronic degeneracy as well as notorious intruder effects. The highly satisfactory performance of the sr-MRCC method, vis-a-vis the other sophisticated methods, in describing the lowest and the first excited singlet states of BeH(2) at points of high degeneracy is noticeable.
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Affiliation(s)
- Uttam Sinha Mahapatra
- Department of Physics, Taki Government College, Taki, North 24 Parganas 743429, India.
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Bhaskaran-Nair K, Brabec J, Aprà E, van Dam HJJ, Pittner J, Kowalski K. Implementation of the multireference Brillouin-Wigner and Mukherjee's coupled cluster methods with non-iterative triple excitations utilizing reference-level parallelism. J Chem Phys 2012; 137:094112. [DOI: 10.1063/1.4747698] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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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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Šimsa D, Demel O, Bhaskaran-Nair K, Hubač I, Mach P, Pittner J. Multireference coupled cluster study of the oxyallyl diradical. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.08.018] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Das S, Kállay M, Mukherjee D. Superior performance of Mukherjee’s state-specific multi-reference coupled-cluster theory at the singles and doubles truncation scheme with localized active orbitals. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.10.017] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Demel O, Kedžuch S, Švaňa M, Ten-no S, Pittner J, Noga J. An explicitly correlated Mukherjee's state specific coupled cluster method: development and pilot applications. Phys Chem Chem Phys 2012; 14:4753-62. [DOI: 10.1039/c2cp23198k] [Citation(s) in RCA: 25] [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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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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Brabec J, Krishnamoorthy S, van Dam HJ, Kowalski K, Pittner J. Massively parallel implementation of the multireference Brillouin–Wigner CCSD method. Chem Phys Lett 2011. [DOI: 10.1016/j.cplett.2011.08.016] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Bhaskaran-Nair K, Demel O, Šmydke J, Pittner J. Multireference state-specific Mukherjee's coupled cluster method with noniterative triexcitations using uncoupled approximation. J Chem Phys 2011; 134:154106. [DOI: 10.1063/1.3573373] [Citation(s) in RCA: 43] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Mahapatra US, Chattopadhyay S. Evaluation of the performance of single root multireference coupled cluster method for ground and excited states, and its application to geometry optimization. J Chem Phys 2011; 134:044113. [DOI: 10.1063/1.3523573] [Citation(s) in RCA: 19] [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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Pittner J, Piecuch† P. Method of moments for the continuous transition between the Brillouin–Wigner-type and Rayleigh–Schrödinger-type multireference coupled cluster theories. Mol Phys 2010. [DOI: 10.1080/00268970902824235] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Demel O, Bhaskaran-Nair K, Pittner J. Uncoupled multireference state-specific Mukherjee’s coupled cluster method with triexcitations. J Chem Phys 2010; 133:134106. [DOI: 10.1063/1.3495679] [Citation(s) in RCA: 29] [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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Chattopadhyay S, Chaudhuri RK, Freed KF. Geometry Optimization of Radicaloid Systems Using Improved Virtual Orbital-Complete Active Space Configuration Interaction (IVO-CASCI) Analytical Gradient Method. J Phys Chem A 2010; 115:3665-78. [DOI: 10.1021/jp103536w] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Affiliation(s)
- Sudip Chattopadhyay
- Department of Chemistry, Bengal Engineering and Science University, Shibpur, Howrah 711103, India
| | | | - Karl F. Freed
- The James Franck Institute and Department of Chemistry, University of Chicago, Chicago, Illinois 60637, United States
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Bhaskaran-Nair K, Demel O, Pittner J. Multireference Mukherjee’s coupled cluster method with triexcitations in the linked formulation: Efficient implementation and applications. J Chem Phys 2010; 132:154105. [DOI: 10.1063/1.3376053] [Citation(s) in RCA: 47] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
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Chattopadhyay S, Mahapatra US, Chaudhuri RK. Study of equilibrium geometries of diradicaloid systems via state specific multireference Møller–Plesset perturbation theory (SS-MRMPPT). Chem Phys Lett 2010. [DOI: 10.1016/j.cplett.2010.02.025] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Sinha Mahapatra U, Chattopadhyay S, Chaudhuri RK. Second-Order State-Specific Multireference Møller−Plesset Perturbation Theory (SS-MRMPPT) Applied to Geometry Optimization. J Phys Chem A 2010; 114:3668-82. [DOI: 10.1021/jp911581f] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
- Uttam Sinha Mahapatra
- Department of Physics, Taki Government College, Taki, North 24
Parganas-743429, India
| | - Sudip Chattopadhyay
- Department of Chemistry, Bengal Engineering and Science University,
Shibpur, Howrah 711103, India
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Chaudhuri RK, Chattopadhyay S, Mahapatra US, Freed KF. Molecular applications of analytical gradient approach for the improved virtual orbital-complete active space configuration interaction method. J Chem Phys 2010; 132:034105. [DOI: 10.1063/1.3290203] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
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Paldus J, Pittner J, Čársky P. Multireference Coupled-Cluster Methods: Recent Developments. CHALLENGES AND ADVANCES IN COMPUTATIONAL CHEMISTRY AND PHYSICS 2010. [DOI: 10.1007/978-90-481-2885-3_17] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
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Prochnow E, Evangelista FA, Schaefer HF, Allen WD, Gauss J. Analytic gradients for the state-specific multireference coupled cluster singles and doubles model. J Chem Phys 2009; 131:064109. [DOI: 10.1063/1.3204017] [Citation(s) in RCA: 68] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
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Demel O, Pittner J. Multireference Brillouin–Wigner coupled cluster method with singles, doubles, and triples: Efficient implementation and comparison with approximate approaches. J Chem Phys 2008; 128:104108. [DOI: 10.1063/1.2832865] [Citation(s) in RCA: 57] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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