메뉴 건너뛰기




Volumn 129, Issue 24, 2008, Pages

Constructing diabatic states from adiabatic states: Extending generalized Mulliken-Hush to multiple charge centers with Boys localization

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY TRANSFER; POTENTIAL ENERGY SURFACES; QUANTUM CHEMISTRY;

EID: 58149265076     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3042233     Document Type: Article
Times cited : (239)

References (52)
  • 3
    • 0000677123 scopus 로고
    • 0009-2614 10.1016/0009-2614(75)85599-0.
    • M. Baer, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(75)85599-0 35, 112 (1975).
    • (1975) Chem. Phys. Lett. , vol.35 , pp. 112
    • Baer, M.1
  • 4
    • 33751034573 scopus 로고
    • 0021-9606 10.1063/1.443853.
    • C. A. Mead and D. G. Truhlar, J. Chem. Phys. 0021-9606 10.1063/1.443853 77, 6090 (1982).
    • (1982) J. Chem. Phys. , vol.77 , pp. 6090
    • Mead, C.A.1    Truhlar, D.G.2
  • 8
    • 0000576095 scopus 로고
    • 0021-9606 10.1063/1.434032.
    • Z. H. Top and M. Baer, J. Chem. Phys. 0021-9606 10.1063/1.434032 66, 1363 (1977).
    • (1977) J. Chem. Phys. , vol.66 , pp. 1363
    • Top, Z.H.1    Baer, M.2
  • 9
    • 84861233956 scopus 로고
    • 0026-8976 10.1080/00268978000102091.
    • M. Baer, Mol. Phys. 0026-8976 10.1080/00268978000102091 40, 1011 (1980).
    • (1980) Mol. Phys. , vol.40 , pp. 1011
    • Baer, M.1
  • 13
    • 0035830270 scopus 로고    scopus 로고
    • 0021-9606 10.1063/1.1412879.
    • H. Nakamura and D. G. Truhlar, J. Chem. Phys. 0021-9606 10.1063/1.1412879 115, 10353 (2001).
    • (2001) J. Chem. Phys. , vol.115 , pp. 10353
    • Nakamura, H.1    Truhlar, D.G.2
  • 14
    • 0037159101 scopus 로고    scopus 로고
    • 0021-9606 10.1063/1.1500734.
    • H. Nakamura and D. G. Truhlar, J. Chem. Phys. 0021-9606 10.1063/1.1500734 117, 5576 (2002).
    • (2002) J. Chem. Phys. , vol.117 , pp. 5576
    • Nakamura, H.1    Truhlar, D.G.2
  • 15
    • 0037623411 scopus 로고    scopus 로고
    • 0021-9606 10.1063/1.1540622.
    • H. Nakamura and D. G. Truhlar, J. Chem. Phys. 0021-9606 10.1063/1.1540622 118, 6816 (2003).
    • (2003) J. Chem. Phys. , vol.118 , pp. 6816
    • Nakamura, H.1    Truhlar, D.G.2
  • 19
    • 0000093610 scopus 로고
    • 0009-2614 10.1016/0009-2614(93)90110-M.
    • W. Domcke and C. Woywood, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(93)90110-M 216, 362 (1993).
    • (1993) Chem. Phys. Lett. , vol.216 , pp. 362
    • Domcke, W.1    Woywood, C.2
  • 21
    • 0030602365 scopus 로고    scopus 로고
    • 0009-2614 10.1016/0009-2614(95)01310-5.
    • R. J. Cave and M. D. Newton, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(95)01310-5 249, 15 (1996).
    • (1996) Chem. Phys. Lett. , vol.249 , pp. 15
    • Cave, R.J.1    Newton, M.D.2
  • 22
    • 4243234418 scopus 로고    scopus 로고
    • 0021-9606 10.1063/1.474023.
    • R. J. Cave and M. D. Newton, J. Chem. Phys. 0021-9606 10.1063/1.474023 106, 9213 (1997).
    • (1997) J. Chem. Phys. , vol.106 , pp. 9213
    • Cave, R.J.1    Newton, M.D.2
  • 23
    • 58149264530 scopus 로고    scopus 로고
    • There is also the question of how big are the derivative couplings arising from the GMH method, and we are unaware of any computational studies estimating them. Conversely, however, there is an analytical expression by Kryachko, specific to the two-state problem, showing how big the off-diagonal dipole element ought to be (rather than zero, which is the GMH ansatz) in order for the derivative couplings to vanish. See Refs..
    • There is also the question of how big are the derivative couplings arising from the GMH method, and we are unaware of any computational studies estimating them. Conversely, however, there is an analytical expression by Kryachko, specific to the two-state problem, showing how big the off-diagonal dipole element ought to be (rather than zero, which is the GMH ansatz) in order for the derivative couplings to vanish. See Refs..
  • 24
    • 5644303218 scopus 로고
    • 0021-9606 10.1063/1.1731961.
    • H. M. McConnell, J. Chem. Phys. 0021-9606 10.1063/1.1731961 35, 508 (1961).
    • (1961) J. Chem. Phys. , vol.35 , pp. 508
    • McConnell, H.M.1
  • 28
    • 0003029944 scopus 로고
    • 0009-2614 10.1016/0009-2614(94)00606-7.
    • A. A. Stuchebrukhov, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(94) 00606-7 225, 55 (1994).
    • (1994) Chem. Phys. Lett. , vol.225 , pp. 55
    • Stuchebrukhov, A.A.1
  • 31
    • 0346266823 scopus 로고    scopus 로고
    • 0021-9606 10.1063/1.473398.
    • C. P. Hsu and R. A. Marcus, J. Chem. Phys. 0021-9606 10.1063/1.473398 106, 584 (1997).
    • (1997) J. Chem. Phys. , vol.106 , pp. 584
    • Hsu, C.P.1    Marcus, R.A.2
  • 33
    • 36849021888 scopus 로고
    • 0066-426X 10.1146/annurev.physchem.44.1.213.
    • S. Saebo and P. Pulay, Annu. Rev. Phys. Chem. 0066-426X 10.1146/annurev.physchem.44.1.213 44, 213 (1993).
    • (1993) Annu. Rev. Phys. Chem. , vol.44 , pp. 213
    • Saebo, S.1    Pulay, P.2
  • 34
    • 3042691933 scopus 로고
    • 0034-6861 10.1103/RevModPhys.32.300.
    • J. M. Foster and S. F. Boys, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.32.300 32, 300 (1960).
    • (1960) Rev. Mod. Phys. , vol.32 , pp. 300
    • Foster, J.M.1    Boys, S.F.2
  • 35
    • 7544236830 scopus 로고
    • 0034-6861 10.1103/RevModPhys.35.457.
    • C. Edmiston and K. Ruedenberg, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.35.457 35, 457 (1963).
    • (1963) Rev. Mod. Phys. , vol.35 , pp. 457
    • Edmiston, C.1    Ruedenberg, K.2
  • 37
    • 3142753249 scopus 로고
    • 0021-9606 10.1063/1.456588.
    • J. Pipek and P. G. Mezey, J. Chem. Phys. 0021-9606 10.1063/1.456588 90, 4916 (1989).
    • (1989) J. Chem. Phys. , vol.90 , pp. 4916
    • Pipek, J.1    Mezey, P.G.2
  • 39
    • 58149267193 scopus 로고    scopus 로고
    • Confusing as it must sound, credit for the "Boys" orbitals should actually be attributed both to Edmiston and Ruedenberg, as well as Foster and Boys. Foster and Boys suggested in 1960 (Ref.) the criterion of maximizing the (nonlinear) product of the distances between orbital centroids, while Edmiston and Ruedenberg improved on this criterion in 1963 (Ref.), proposing to maximize the (linear) sum of the distances between orbital centroids. The latter definition is the criterion used today for "Boys" orbitals. Furthermore, Edmiston and Ruedenberg were the first to suggest a formal technique for computing these orbitals exactly (rather than approximately, as Foster and Boys had proposed).
    • Confusing as it must sound, credit for the "Boys" orbitals should actually be attributed both to Edmiston and Ruedenberg, as well as Foster and Boys. Foster and Boys suggested in 1960 (Ref.) the criterion of maximizing the (nonlinear) product of the distances between orbital centroids, while Edmiston and Ruedenberg improved on this criterion in 1963 (Ref.), proposing to maximize the (linear) sum of the distances between orbital centroids. The latter definition is the criterion used today for "Boys" orbitals. Furthermore, Edmiston and Ruedenberg were the first to suggest a formal technique for computing these orbitals exactly (rather than approximately, as Foster and Boys had proposed).
  • 40
    • 58149259705 scopus 로고    scopus 로고
    • This derivative can be done without too much difficulty by following the analogous calculations in Refs..
    • This derivative can be done without too much difficulty by following the analogous calculations in Refs..
  • 44
    • 58149262619 scopus 로고    scopus 로고
    • If we apply the Pipek-Mezey approach to states, rather than orbitals, the resulting algorithm will construct diabatic states by maximizing the sum of the squares of atomic populations. Notably, construction of diabatic states by maximizing the squares of natural spin-orbital populations was suggested 20 years ago in Ref.. These two approaches are different, however, because by maximizing the squares of atomic (rather than orbital) populations, the PM algorithm forces localization of the diabatic states; there is no need for such localization in the approach of Ref..
    • If we apply the Pipek-Mezey approach to states, rather than orbitals, the resulting algorithm will construct diabatic states by maximizing the sum of the squares of atomic populations. Notably, construction of diabatic states by maximizing the squares of natural spin-orbital populations was suggested 20 years ago in Ref.. These two approaches are different, however, because by maximizing the squares of atomic (rather than orbital) populations, the PM algorithm forces localization of the diabatic states; there is no need for such localization in the approach of Ref..
  • 45
  • 48
    • 10844279825 scopus 로고    scopus 로고
    • 0021-9606 10.1063/1.1808695.
    • I. Ryb and R. Baer, J. Chem. Phys. 0021-9606 10.1063/1.1808695 121, 10370 (2004).
    • (2004) J. Chem. Phys. , vol.121 , pp. 10370
    • Ryb, I.1    Baer, R.2
  • 52
    • 7244251100 scopus 로고    scopus 로고
    • 0065-3276 10.1016/S0065-3276(03)44008-2.
    • E. S. Kryachko, Adv. Quantum Chem. 0065-3276 10.1016/S0065-3276(03)44008- 2 44, 119 (2003).
    • (2003) Adv. Quantum Chem. , vol.44 , pp. 119
    • Kryachko, E.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.