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Volumn 134, Issue 22, 2011, Pages

Alternative single-reference coupled cluster approaches for multireference problems: The simpler, the better

Author keywords

[No Author keywords available]

Indexed keywords

ANHARMONIC CONSTANTS; CLUSTER OPERATOR; COST RATIO; COUPLED-CLUSTER APPROACH; COUPLED-CLUSTER METHODS; COUPLED-CLUSTER THEORY; EQUILIBRIUM PROPERTIES; FERMI VACUUM; HARMONIC VIBRATIONAL FREQUENCIES; MULTI REFERENCE; POTENTIAL ENERGY CURVES;

EID: 79959471915     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3598471     Document Type: Article
Times cited : (153)

References (111)
  • 2
    • 0001626413 scopus 로고
    • 10.1146/annurev.pc.32.100181.002043
    • R. J. Bartlett, Annu. Rev. Phys. Chem. 32, 359 (1981). 10.1146/annurev.pc.32.100181.002043
    • (1981) Annu. Rev. Phys. Chem. , vol.32 , pp. 359
    • Bartlett, R.J.1
  • 3
    • 27844485721 scopus 로고    scopus 로고
    • Reflections on size-extensivity, size-consistency and generalized extensivity in many-body theory
    • DOI 10.1080/00268970500083952
    • M. Nooijen, K. R. Shamasundar, and D. Mukherjee, Mol. Phys. 103, 2277 (2005). 10.1080/00268970500083952 (Pubitemid 41647964)
    • (2005) Molecular Physics , vol.103 , Issue.15-16 , pp. 2277-2298
    • Nooijen, M.1    Shamasundar, K.R.2    Mukherjee, D.3
  • 5
    • 49749176027 scopus 로고
    • 10.1016/0029-5582(58)90280-3
    • F. Coester, Nucl. Phys. 7, 421 (1958). 10.1016/0029-5582(58)90280-3
    • (1958) Nucl. Phys. , vol.7 , pp. 421
    • Coester, F.1
  • 6
    • 50549159570 scopus 로고
    • 10.1016/0029-5582(60)90140-1
    • F. Coester and H. Kmmel, Nucl. Phys. 17, 477 (1960). 10.1016/0029- 5582(60)90140-1
    • (1960) Nucl. Phys. , vol.17 , pp. 477
    • Coester, F.1    Kmmel, H.2
  • 7
    • 36849099976 scopus 로고
    • 10.1063/1.1727484
    • J. ek, J. Chem. Phys. 45, 4256 (1966). 10.1063/1.1727484
    • (1966) J. Chem. Phys. , vol.45 , pp. 4256
    • Ek, J.1
  • 8
    • 79959417920 scopus 로고    scopus 로고
    • The acronym TCC should not be confused with the one used by Kinoshita for their tailored CC method (Ref.).
    • The acronym TCC should not be confused with the one used by Kinoshita for their tailored CC method (Ref.).
  • 9
    • 33847389465 scopus 로고    scopus 로고
    • Coupled-cluster theory in quantum chemistry
    • DOI 10.1103/RevModPhys.79.291
    • R. J. Bartlett and M. Musia, Rev. Mod. Phys. 79, 291 (2007). 10.1103/RevModPhys.79.291 (Pubitemid 46346056)
    • (2007) Reviews of Modern Physics , vol.79 , Issue.1 , pp. 291-352
    • Bartlett, R.J.1    Musial, M.2
  • 16
    • 0035880942 scopus 로고    scopus 로고
    • Higher excitations in coupled-cluster theory
    • DOI 10.1063/1.1383290
    • M. Kllay and P. R. Surjn, J. Chem. Phys. 115, 2945 (2001). 10.1063/1.1383290 (Pubitemid 32796736)
    • (2001) Journal of Chemical Physics , vol.115 , Issue.7 , pp. 2945-2954
    • Kallay, M.1    Surjan, P.R.2
  • 17
    • 0000795763 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.84.2108
    • M. Nooijen, Phys. Rev. Lett. 84, 2108 (2000). 10.1103/PhysRevLett.84.2108
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2108
    • Nooijen, M.1
  • 21
    • 78650589374 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.105.263004
    • A. J. W. Thom, Phys. Rev. Lett. 105, 263004 (2010). 10.1103/PhysRevLett. 105.263004
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 263004
    • Thom, A.J.W.1
  • 26
    • 0343780436 scopus 로고    scopus 로고
    • 10.1103/PhysRevA.61.052506
    • K. Kowalski and P. Piecuch, Phys. Rev. A 61, 052506 (2000). 10.1103/PhysRevA.61.052506
    • (2000) Phys. Rev. A , vol.61 , pp. 052506
    • Kowalski, K.1    Piecuch, P.2
  • 30
    • 0001832427 scopus 로고    scopus 로고
    • 10.1016/S0065-3276(08)60184-7
    • J. Mik and I. Huba, Adv. Quantum Chem. 31, 75 (1999). 10.1016/S0065-3276(08)60184-7
    • (1999) Adv. Quantum Chem. , vol.31 , pp. 75
    • Mik, J.1    Huba, I.2
  • 32
    • 0037778967 scopus 로고    scopus 로고
    • 10.1063/1.1574785
    • J. Pittner, J. Chem. Phys. 118, 10876 (2003). 10.1063/1.1574785
    • (2003) J. Chem. Phys. , vol.118 , pp. 10876
    • Pittner, J.1
  • 33
    • 26444462588 scopus 로고    scopus 로고
    • An exponential multireference wave-function Ansatz
    • DOI 10.1063/1.1953407, 084102
    • M. Hanrath, J. Chem. Phys. 123, 084102 (2005). 10.1063/1.1953407 (Pubitemid 41417640)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.8 , pp. 1-12
    • Hanrath, M.1
  • 34
    • 42449128436 scopus 로고    scopus 로고
    • Higher excitations for an exponential multireference wavefunction Ansatz and single-reference based multireference coupled cluster Ansatz: Application to model systems H4, P4, and Be H2
    • DOI 10.1063/1.2899645
    • M. Hanrath, J. Chem. Phys. 128, 154118 (2008). 10.1063/1.2899645 (Pubitemid 351574620)
    • (2008) Journal of Chemical Physics , vol.128 , Issue.15 , pp. 154118
    • Hanrath, M.1
  • 35
    • 1842783091 scopus 로고    scopus 로고
    • 10.1063/1.1646355
    • S. Li, J. Chem. Phys. 120, 5017 (2004). 10.1063/1.1646355
    • (2004) J. Chem. Phys. , vol.120 , pp. 5017
    • Li, S.1
  • 37
    • 0141921915 scopus 로고    scopus 로고
    • 10.1063/1.1599283
    • X. Li and J. Paldus, J. Chem. Phys. 119, 5320 (2003). 10.1063/1.1599283
    • (2003) J. Chem. Phys. , vol.119 , pp. 5320
    • Li, X.1    Paldus, J.2
  • 38
    • 77955558453 scopus 로고    scopus 로고
    • 10.1016/j.cplett.2010.07.028
    • X. Li and J. Paldus, Chem. Phys. Lett. 496, 183 (2010). 10.1016/j.cplett.2010.07.028
    • (2010) Chem. Phys. Lett. , vol.496 , pp. 183
    • Li, X.1    Paldus, J.2
  • 39
    • 34547179349 scopus 로고    scopus 로고
    • Coupling term derivation and general implementation of state-specific multireference coupled cluster theories
    • DOI 10.1063/1.2743014
    • F. A. Evangelista, W. D. Allen, and H. F. Schaefer, J. Chem. Phys. 127, 024102 (2007). 10.1063/1.2743014 (Pubitemid 47114632)
    • (2007) Journal of Chemical Physics , vol.127 , Issue.2 , pp. 024102
    • Evangelista, F.A.1    Allen, W.D.2    Schaefer, H.F.3
  • 40
    • 77949702526 scopus 로고    scopus 로고
    • 10.1063/1.3354947
    • X. Li and J. Paldus, J. Chem. Phys. 132, 114103 (2010). 10.1063/1.3354947
    • (2010) J. Chem. Phys. , vol.132 , pp. 114103
    • Li, X.1    Paldus, J.2
  • 44
    • 0346900424 scopus 로고    scopus 로고
    • 10.1063/1.474289
    • X. Li and J. Paldus, J. Chem. Phys. 107, 6257 (1997). 10.1063/1.474289
    • (1997) J. Chem. Phys. , vol.107 , pp. 6257
    • Li, X.1    Paldus, J.2
  • 46
    • 34547592074 scopus 로고    scopus 로고
    • Geminal model chemistry. IV. Variational and size consistent pure spin states
    • DOI 10.1063/1.2755738
    • V. A. Rassolov and F. Xu, J. Chem. Phys. 127, 044104 (2007). 10.1063/1.2755738 (Pubitemid 47192039)
    • (2007) Journal of Chemical Physics , vol.127 , Issue.4 , pp. 044104
    • Rassolov, V.A.1    Xu, F.2
  • 51
    • 37549014315 scopus 로고    scopus 로고
    • Equation-of-motion coupled-cluster methods for open-shell and electronically excited species: The Hitchhiker's guide to fock space
    • DOI 10.1146/annurev.physchem.59.032607.093602
    • A. I. Krylov, Annu. Rev. Phys. Chem. 59, 433 (2008). 10.1146/annurev. physchem.59.032607.093602 (Pubitemid 351703394)
    • (2008) Annual Review of Physical Chemistry , vol.59 , pp. 433-462
    • Krylov, A.I.1
  • 56
  • 57
    • 0000292809 scopus 로고    scopus 로고
    • 10.1103/PhysRevA.54.250
    • N. Vaval and S. Pal, Phys. Rev. A 54, 250 (1996). 10.1103/PhysRevA.54.250
    • (1996) Phys. Rev. A , vol.54 , pp. 250
    • Vaval, N.1    Pal, S.2
  • 58
    • 0034316717 scopus 로고    scopus 로고
    • Benchmark variational coupled cluster doubles results
    • DOI 10.1063/1.1319643
    • T. van Voorhis and M. Head-Gordon, J. Chem. Phys. 113, 8873 (2000). 10.1063/1.1319643 (Pubitemid 32033352)
    • (2000) Journal of Chemical Physics , vol.113 , Issue.20 , pp. 8873-8879
    • Van Voorhis, T.1    Head-Gordon, M.2
  • 59
    • 36749104944 scopus 로고
    • 10.1063/1.444231
    • W. Kutzelnigg, J. Chem. Phys. 77, 3081 (1982). 10.1063/1.444231
    • (1982) J. Chem. Phys. , vol.77 , pp. 3081
    • Kutzelnigg, W.1
  • 63
    • 0001334147 scopus 로고
    • 10.1016/0003-4916(83)90284-1
    • J. S. Arponen, Ann. Phys. 151, 311 (1983). 10.1016/0003-4916(83)90284-1
    • (1983) Ann. Phys. , vol.151 , pp. 311
    • Arponen, J.S.1
  • 69
    • 0142157637 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.91.123001
    • E. R. Davidson, Phys. Rev. Lett. 91, 123001 (2003). 10.1103/PhysRevLett. 91.123001
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 123001
    • Davidson, E.R.1
  • 70
    • 7444221974 scopus 로고    scopus 로고
    • 10.1103/PhysRevA.69.012507
    • D. A. Mazziotti, Phys. Rev. A 69, 012507 (2004). 10.1103/PhysRevA.69. 012507
    • (2004) Phys. Rev. A , vol.69 , pp. 012507
    • Mazziotti, D.A.1
  • 72
    • 0001887356 scopus 로고    scopus 로고
    • 10.1080/00268979809482295
    • W. Kutzelnigg, Mol. Phys. 94, 65 (1998). 10.1080/00268979809482295
    • (1998) Mol. Phys. , vol.94 , pp. 65
    • Kutzelnigg, W.1
  • 73
    • 27844548709 scopus 로고    scopus 로고
    • Non-iterative corrections to extended coupled-cluster energies employing the generalized method of moments of coupled-cluster equations
    • DOI 10.1080/00268970500131595
    • P.-D. Fan, K. Kowalski, and P. Piecuch, Mol. Phys. 103, 2191 (2005). 10.1080/00268970500131595 (Pubitemid 41647956)
    • (2005) Molecular Physics , vol.103 , Issue.15-16 , pp. 2191-2213
    • Fan, P.-D.1    Kowalski, K.2    Piecuch, P.3
  • 75
    • 79959479309 scopus 로고    scopus 로고
    • note
    • Alternatively, one can avoid the premultiplication of the Schrdinger equation by exp(-S). When the cluster operator is truncated, in the case of traditional CC theory the premultiplication does not have any effect, however, in unitary CC theory the premultiplication leads to a different result with respect to the original Schrdinger equation.
  • 76
    • 34547237375 scopus 로고    scopus 로고
    • Canonical transformation theory for multireference problems
    • DOI 10.1063/1.2196410
    • T. Yanai and G. K.-L. Chan, J. Chem. Phys. 124, 194106 (2006). 10.1063/1.2196410 (Pubitemid 43786143)
    • (2006) Journal of Chemical Physics , vol.124 , Issue.19 , pp. 194106
    • Yanai, T.1    Chan, G.K.-L.2
  • 78
    • 0042638530 scopus 로고
    • 10.1063/1.1705306
    • R. M. Wilcox, J. Math. Phys. 8, 962 (1967). 10.1063/1.1705306
    • (1967) J. Math. Phys. , vol.8 , pp. 962
    • Wilcox, R.M.1
  • 79
    • 79959444566 scopus 로고    scopus 로고
    • note
    • A more elegant formulation of extended coupled cluster theory uses a modified energy functional E ECC ′=(eHe-) dc, where the symbol dc indicates that only doubly connected terms are included, consisting in all the diagrams with connected to either H or at least two cluster operators. Double connectedness guarantees that both the energy functional and the equations resulting from the stationary condition contain only connected terms.
  • 83
    • 79959430095 scopus 로고    scopus 로고
    • qr).
    • qr).
  • 85
    • 79959465050 scopus 로고    scopus 로고
    • 2 model and the potential energy curves of HF.
    • 2 model and the potential energy curves of HF.
  • 88
    • 79959462572 scopus 로고    scopus 로고
    • PSIMRCC, a computer code written at the University of Georgia and capable of performing multireference coupled cluster computations,; see.
    • F. A. Evangelista and A. C. Simmonett, PSIMRCC, a computer code written at the University of Georgia and capable of performing multireference coupled cluster computations, 2007; see http://www.ccc.uga.edu/psimrcc.
    • (2007)
    • Evangelista, F.A.1    Simmonett, A.C.2
  • 91
    • 10844257307 scopus 로고    scopus 로고
    • 2: A challenge for approximate methods
    • DOI 10.1063/1.1804498
    • M. L. Abrams and C. D. Sherrill, J. Chem. Phys. 121, 9211 (2004). 10.1063/1.1804498 (Pubitemid 40001685)
    • (2004) Journal of Chemical Physics , vol.121 , Issue.19 , pp. 9211-9219
    • Abrams, M.L.1    Sherrill, C.D.2
  • 92
    • 17544377133 scopus 로고    scopus 로고
    • The X g+1, B Δg1, and B′ g+1 states of C2: A comparison of renormalized coupled-cluster and multireference methods with full configuration interaction benchmarks
    • DOI 10.1063/1.1867379, 124104
    • C. D. Sherrill and P. Piecuch, J. Chem. Phys. 122, 124104 (2005). 10.1063/1.1867379 (Pubitemid 40552469)
    • (2005) Journal of Chemical Physics , vol.122 , Issue.12 , pp. 1-17
    • Sherrill, C.D.1    Piecuch, P.2
  • 93
    • 33750362705 scopus 로고    scopus 로고
    • 2: Simple yet exceptional systems for advanced correlated methods
    • DOI 10.1016/j.cplett.2006.09.053, PII S0009261406014011
    • X. Li and J. Paldus, Chem. Phys. Lett. 431, 179 (2006). 10.1016/j.cplett.2006.09.053 (Pubitemid 44632993)
    • (2006) Chemical Physics Letters , vol.431 , Issue.1-3 , pp. 179-184
    • Li, X.1    Paldus, J.2
  • 94
    • 0038791255 scopus 로고    scopus 로고
    • Constants of diatomic molecules
    • (data prepared by) in, Eds. P. J. Linstrom and W. G. Mallard, National Institute of Standards and Technology, Gaithersburg MD, (retrieved June 1).
    • K. P. Huber and G. Herzberg, Constants of diatomic molecules., (data prepared by J. W. Gallagher and R. D. Johnson, III) in NIST Chemistry WebBook, NIST Standard Reference Database Number 69, Eds., P. J. Linstrom, and, W. G. Mallard, National Institute of Standards and Technology, Gaithersburg MD, 20899, http://webbook.nist.gov (retrieved June 1, 2011).
    • (2011) NIST Chemistry WebBook, NIST Standard Reference Database Number 69 , pp. 20899
    • Huber, K.P.1    Herzberg, G.2    Gallagher, J.W.3    Iii, D.J.R.4
  • 96
    • 0000927460 scopus 로고    scopus 로고
    • 10.1002/(SICI)1097-461X(1998)70:4/5601::AID-QUA63.0.CO;2-Z
    • T. D. Crawford and J. F. Stanton, Int. J. Quantum Chem. 70, 601 (1998). 10.1002/(SICI)1097-461X(1998)70:4/5601::AID-QUA63.0.CO;2-Z
    • (1998) Int. J. Quantum Chem. , vol.70 , pp. 601
    • Crawford, T.D.1    Stanton, J.F.2
  • 100
    • 33750147317 scopus 로고    scopus 로고
    • High-order excitations in state-universal and state-specific multireference coupled cluster theories: Model systems
    • DOI 10.1063/1.2357923
    • F. A. Evangelista, W. D. Allen, and H. F. Schaefer, J. Chem. Phys. 125, 154113 (2006). 10.1063/1.2357923 (Pubitemid 44601787)
    • (2006) Journal of Chemical Physics , vol.125 , Issue.15 , pp. 154113
    • Evangelista, F.A.1    Allen, W.D.2    Schaefer III, H.F.3
  • 101
    • 38849092716 scopus 로고    scopus 로고
    • Improving upon CCSD(T): CCSD (T). I. Potential energy surfaces
    • DOI 10.1063/1.2830236
    • A. G. Taube and R. J. Bartlett, J. Chem. Phys. 128, 044110 (2008). 10.1063/1.2830236 (Pubitemid 351191590)
    • (2008) Journal of Chemical Physics , vol.128 , Issue.4 , pp. 044110
    • Taube, A.G.1    Bartlett, R.J.2
  • 102
    • 0035424581 scopus 로고    scopus 로고
    • A second-order perturbative correction to the coupled-cluster singles and double method: CCSD(2)
    • DOI 10.1063/1.1383589
    • S. R. Gwaltney and M. Head-Gordon, J. Chem. Phys. 115, 2014 (2001). 10.1063/1.1383589 (Pubitemid 32742758)
    • (2001) Journal of Chemical Physics , vol.115 , Issue.5 , pp. 2014-2021
    • Gwaltney, S.R.1    Head-Gordon, M.2
  • 103
    • 29144514711 scopus 로고    scopus 로고
    • Renormalized coupled-cluster methods exploiting left eigenstates of the similarity-transformed Hamiltonian
    • DOI 10.1063/1.2137318, 224105
    • P. Piecuch and M. Woch, J. Chem. Phys. 123, 224105 (2005). 10.1063/1.2137318 (Pubitemid 41816305)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.22 , pp. 1-10
    • Piecuch, P.1    Wloch, M.2
  • 107
    • 27944496356 scopus 로고    scopus 로고
    • Multireference coupled electron-pair approximations to the multireference coupled cluster method. The MR-CEPA1 method
    • DOI 10.1080/00268970500180725
    • P. J. A. Ruttink, J. H. van Lenthe, and P. Todorov, Mol. Phys. 103, 2497 (2005). 10.1080/00268970500180725 (Pubitemid 41663256)
    • (2005) Molecular Physics , vol.103 , Issue.18 , pp. 2497-2506
    • Ruttink, P.J.A.1    Van Lenthe, J.H.2    Todorov, P.3
  • 110
    • 79959483979 scopus 로고    scopus 로고
    • note
    • Here, we adopt a variant of the model that interpolates the path from points A to H of the original model by Purvis (Ref.). Moreover, we use a Be(10s3p/3s2p), H(4s/2s) basis set (included in the Supplementary Material) which differs slightly from the original double- basis set used in previous studies. In our basis set the tight beryllium p primitive function was decontracted to better describe core correlation of the Be atom.


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