51
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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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52
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Jagau TC, Gauss J. Ground and excited state geometries via Mukherjee’s multireference coupled-cluster method. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.10.016] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/15/2022]
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53
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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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54
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Mahapatra US, Chattopadhyay S. Diagnosis of the performance of the state-specific multireference coupled-cluster method with different truncation schemes. J Comput Chem 2012; 33:1285-303. [PMID: 22419455 DOI: 10.1002/jcc.22960] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/13/2011] [Revised: 02/06/2012] [Accepted: 02/07/2012] [Indexed: 11/06/2022]
Abstract
We have tested the linked version of a iterative (partial) triples correction for the Jeziorski-Monkhorst ansatz based state-specific multireference coupled cluster (SS-MRCC) approach with singles and doubles (SD) excitations [abbreviated as SS-MRCCSDT-1a and SS-MRCCSDT-1a+d]. The assessments of SS-MRCCSDT-1a and SS-MRCCSDT-1a+d schemes have been performed on the ground potential energy surface (PES) of P4, Li(2),Be(2) systems which demand the MR description, and on study of the excitation energy between the ground and first excited state for P4 system. Illustrations in the isomerization of cyclobutadiene also show the power of the schemes. One of the designed features of the SS-MRCCSDT-n methods introduced here is that they do not require storage of the triples amplitudes. In the entire range of geometries, we found a definite improvement provided by SS-MRCC with SDT-1a and SDT-1a+d schemes over the standard SD one. In the nondegenerate regions of PES, the closeness of the performance of the single-reference CC to the SS-MRCC methods increases after inclusion of even partial triple excitations. Generally, the performance of the SS-MRCCSDT-1a+d approach is closer to the corresponding full configuration interaction (FCI) one than to the SS-MRCCSDT-1a specially in the degenerate geometries (as is evident from nonparallelism error). The deviation from FCI for the first excited state of the P4 model using various SS-MRCC theories with different truncation schemes obtained by converging on the second root of the effective Hamiltonian has also been reported. We also compare our results with the current generation state-of-the-art single and multireference CC calculations to envisage the usefulness of the present approach. Initial implementation indicates that the SS-MRCCSDT-n formalism can provide not only reliable excitation energies and barrier height even when used in a relatively small model space, but also offers a considerable promise in generating the entire energy surface with low nonparallelity error.
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Affiliation(s)
- Uttam Sinha Mahapatra
- Department of Physics, Maulana Azad College, 8 Rafi Ahmed KidwaiRoad, Kolkata 700013, India.
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55
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Hanauer M, Köhn A. Perturbative treatment of triple excitations in internally contracted multireference coupled cluster theory. J Chem Phys 2012; 136:204107. [DOI: 10.1063/1.4718700] [Citation(s) in RCA: 74] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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56
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Evangelista FA, Hanauer M, Köhn A, Gauss J. A sequential transformation approach to the internally contracted multireference coupled cluster method. J Chem Phys 2012; 136:204108. [DOI: 10.1063/1.4718704] [Citation(s) in RCA: 52] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
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Das S, Pathak S, Datta D, Mukherjee D. Inactive excitations in Mukherjee's state-specific multireference coupled cluster theory treated with internal contraction: Development and applications. J Chem Phys 2012; 136:164104. [DOI: 10.1063/1.3703312] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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58
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Brabec J, van Dam HJJ, Pittner J, Kowalski K. Universal state-selective corrections to multi-reference coupled-cluster theories with single and double excitations. J Chem Phys 2012; 136:124102. [DOI: 10.1063/1.3692969] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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59
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RAVICHANDRAN LALITHA, BHATTACHARYA DEBARATI, VAVAL NAYANA, PAL SOURAV. Fock-space multi-reference coupled-cluster response with the effect of triples on dipole moment of ClO and SF radicals#. J CHEM SCI 2012. [DOI: 10.1007/s12039-012-0220-x] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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60
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Mao S, Cheng L, Liu W, Mukherjee D. A spin-adapted size-extensive state-specific multi-reference perturbation theory. I. Formal developments. J Chem Phys 2012; 136:024105. [DOI: 10.1063/1.3672083] [Citation(s) in RCA: 43] [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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61
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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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62
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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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63
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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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64
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Turney JM, Simmonett AC, Parrish RM, Hohenstein EG, Evangelista FA, Fermann JT, Mintz BJ, Burns LA, Wilke JJ, Abrams ML, Russ NJ, Leininger ML, Janssen CL, Seidl ET, Allen WD, Schaefer HF, King RA, Valeev EF, Sherrill CD, Crawford TD. Psi4: an open-source ab initio
electronic structure program. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2011. [DOI: 10.1002/wcms.93] [Citation(s) in RCA: 637] [Impact Index Per Article: 49.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
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65
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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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66
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González L, Escudero D, Serrano-Andrés L. Progress and Challenges in the Calculation of Electronic Excited States. Chemphyschem 2011; 13:28-51. [DOI: 10.1002/cphc.201100200] [Citation(s) in RCA: 310] [Impact Index Per Article: 23.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2011] [Revised: 08/05/2011] [Indexed: 11/09/2022]
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67
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Kedžuch S, Demel O, Pittner J, Ten-no S, Noga J. Multireference F12 coupled cluster theory: The Brillouin-Wigner approach with single and double excitations. Chem Phys Lett 2011. [DOI: 10.1016/j.cplett.2011.06.023] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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68
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Bytautas L, Henderson TM, Jiménez-Hoyos CA, Ellis JK, Scuseria GE. Seniority and orbital symmetry as tools for establishing a full configuration interaction hierarchy. J Chem Phys 2011; 135:044119. [DOI: 10.1063/1.3613706] [Citation(s) in RCA: 108] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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69
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Ogihara Y, Yamamoto T, Kato S. Multireference coupled-cluster calculation of the dissociation energy profile of triplet ketene. Chem Phys Lett 2011. [DOI: 10.1016/j.cplett.2011.05.067] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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70
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Evangelista FA. Alternative single-reference coupled cluster approaches for multireference problems: The simpler, the better. J Chem Phys 2011; 134:224102. [DOI: 10.1063/1.3598471] [Citation(s) in RCA: 82] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
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71
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Schreiner PR, Reisenauer HP, Ley D, Gerbig D, Wu CH, Allen WD. Methylhydroxycarbene: Tunneling Control of a Chemical Reaction. Science 2011; 332:1300-3. [PMID: 21659600 DOI: 10.1126/science.1203761] [Citation(s) in RCA: 238] [Impact Index Per Article: 18.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Affiliation(s)
- Peter R Schreiner
- Institute of Organic Chemistry, Justus-Liebig University, Heinrich-Buff-Ring 58, D-35392 Giessen, Germany.
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72
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Li X, Paldus J. Multi-reference state-universal coupled-cluster approaches to electronically excited states. J Chem Phys 2011; 134:214118. [DOI: 10.1063/1.3595513] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023] Open
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73
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Datta D, Kong L, Nooijen M. A state-specific partially internally contracted multireference coupled cluster approach. J Chem Phys 2011; 134:214116. [DOI: 10.1063/1.3592494] [Citation(s) in RCA: 66] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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74
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Saito T, Nishihara S, Yamanaka S, Kitagawa Y, Kawakami T, Yamada S, Isobe H, Okumura M, Yamaguchi K. Symmetry and broken symmetry in molecular orbital description of unstable molecules IV: comparison between single- and multi-reference computational results for antiaromtic molecules. Theor Chem Acc 2011. [DOI: 10.1007/s00214-011-0941-9] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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75
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Hanauer M, Köhn A. Pilot applications of internally contracted multireference coupled cluster theory, and how to choose the cluster operator properly. J Chem Phys 2011; 134:204111. [DOI: 10.1063/1.3592786] [Citation(s) in RCA: 141] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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76
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Kowalski K. A universal state-selective approach to multireference coupled-cluster non-iterative corrections. J Chem Phys 2011; 134:194107. [DOI: 10.1063/1.3589896] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
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77
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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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78
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Ravichandran L, Vaval N, Pal S. Effect of Triples to Dipole Moments in Fock-Space Multireference Coupled Cluster Method. J Chem Theory Comput 2011; 7:876-83. [PMID: 26606338 DOI: 10.1021/ct1007263] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
Abstract
In this paper, we present the new implementation of partial triples for the dipole moment of doublet radicals in Lagrangian formulation of Fock-space multireference coupled cluster (Λ-FSMRCC) response method. We have implemented a specific scheme of noniterative triples, in addition to singles and doubles schemes, which accounts for the effects appearing at least at the third order in dipole moments. The method is applied to the ground states of OH, OOH, HCOO, CN, CH, and PO radicals.
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Affiliation(s)
| | - Nayana Vaval
- Physical Chemistry Division, National Chemical Laboratory , Pune-411008, India
| | - Sourav Pal
- Physical Chemistry Division, National Chemical Laboratory , Pune-411008, India
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79
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Das S, Kállay M, Mukherjee D. Inclusion of selected higher excitations involving active orbitals in the state-specific multireference coupled-cluster theory. J Chem Phys 2010; 133:234110. [DOI: 10.1063/1.3515478] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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80
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81
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82
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83
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Saito T, Nishihara S, Kataoka Y, Nakanishi Y, Kitagawa Y, Kawakami T, Yamanaka S, Okumura M, Yamaguchi K. Multireference Character of 1,3-Dipolar Cycloaddition of Ozone with Ethylene and Acrylonitrile. J Phys Chem A 2010; 114:12116-23. [DOI: 10.1021/jp108302y] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
Affiliation(s)
- Toru Saito
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Satomichi Nishihara
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Yusuke Kataoka
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Yasuyuki Nakanishi
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Yasutaka Kitagawa
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Takashi Kawakami
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Shusuke Yamanaka
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Mitsutaka Okumura
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Kizashi Yamaguchi
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
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84
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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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85
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Nishihara S, Saito T, Yamanaka S, Kitagawa Y, Kawakami T, Okumura M, Yamaguchi K. MkMRCC, APUCC and APUBD approaches to 1,n-didehydropolyene diradicals: the nature of through-bond exchange interactions. Mol Phys 2010. [DOI: 10.1080/00268976.2010.512571] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Satomichi Nishihara
- a Department of Chemistry , Graduate School of Science, Osaka University , 1–1 Machikaneyama, Toyonaka , Osaka 560-0043 , Japan
| | - Toru Saito
- a Department of Chemistry , Graduate School of Science, Osaka University , 1–1 Machikaneyama, Toyonaka , Osaka 560-0043 , Japan
| | - Shusuke Yamanaka
- a Department of Chemistry , Graduate School of Science, Osaka University , 1–1 Machikaneyama, Toyonaka , Osaka 560-0043 , Japan
| | - Yasutaka Kitagawa
- a Department of Chemistry , Graduate School of Science, Osaka University , 1–1 Machikaneyama, Toyonaka , Osaka 560-0043 , Japan
| | - Takashi Kawakami
- a Department of Chemistry , Graduate School of Science, Osaka University , 1–1 Machikaneyama, Toyonaka , Osaka 560-0043 , Japan
| | - Mitsutaka Okumura
- a Department of Chemistry , Graduate School of Science, Osaka University , 1–1 Machikaneyama, Toyonaka , Osaka 560-0043 , Japan
| | - Kizashi Yamaguchi
- b NanoScience Design Center, Osaka University , 1–3 Machikaneyama, Toyonaka , Osaka 560-8531 , Japan
- c Toyota Physical & Chemical Research Institute , Nagakute , Aichi 480-1192 , Japan
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86
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Li X, Paldus J. Model space incompleteness in multireference state-universal and state-selective coupled-cluster theories. Chem Phys Lett 2010. [DOI: 10.1016/j.cplett.2010.07.028] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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87
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Evangelista FA, Gauss J. Insights into the orbital invariance problem in state-specific multireference coupled cluster theory. J Chem Phys 2010; 133:044101. [DOI: 10.1063/1.3456546] [Citation(s) in RCA: 51] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
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88
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Prochnow E, Harding ME, Gauss J. Parallel Calculation of CCSDT and Mk-MRCCSDT Energies. J Chem Theory Comput 2010; 6:2339-47. [DOI: 10.1021/ct1002016] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Eric Prochnow
- Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany
| | - Michael E. Harding
- Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany
| | - Jürgen Gauss
- Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany
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