메뉴 건너뛰기




Volumn 135, Issue 24, 2011, Pages

Analytic second derivatives for the spin-free exact two-component theory

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC EVALUATION; COPPER HYDROXIDE; DIRAC HAMILTONIAN; E-SCHEME; EQUILIBRIUM GEOMETRIES; MATRIX REPRESENTATION; NONRELATIVISTIC; ONE-ELECTRON LEVELS; SECOND DERIVATIVES; SYSTEMATIC STUDY; TWO-COMPONENT;

EID: 84855262915     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3667202     Document Type: Article
Times cited : (38)

References (86)
  • 1
    • 0000098371 scopus 로고    scopus 로고
    • 10.1063/1.473860
    • K. G. Dyall, J. Chem. Phys. 106, 9618 (1997). 10.1063/1.473860
    • (1997) J. Chem. Phys. , vol.106 , pp. 9618
    • Dyall, K.G.1
  • 2
    • 0013030917 scopus 로고    scopus 로고
    • Interfacing relativistic and nonrelativistic methods. II. Investigation of a low-order approximation
    • DOI 10.1063/1.477026, PII S0021960698304341
    • K. G. Dyall, J. Chem. Phys. 109, 4201 (1998). 10.1063/1.477026 (Pubitemid 128678632)
    • (1998) Journal of Chemical Physics , vol.109 , Issue.11 , pp. 4201-4208
    • Dyall, K.G.1
  • 4
    • 0035935956 scopus 로고    scopus 로고
    • Interfacing relativistic and nonrelativistic methods. IV. One- and two-electron scalar approximations
    • DOI 10.1063/1.1413512
    • K. G. Dyall, J. Chem. Phys. 115, 9136 (2001). 10.1063/1.1413512 (Pubitemid 33128018)
    • (2001) Journal of Chemical Physics , vol.115 , Issue.20 , pp. 9136-9143
    • Dyall, K.G.1
  • 5
    • 0031321343 scopus 로고    scopus 로고
    • Relativistic one-electron Hamiltonians 'for electrons only' and the variational treatment of the Dirac equation
    • DOI 10.1016/S0301-0104(97)00240-1
    • W. Kutzelnigg, Chem. Phys. 225, 203 (1997). 10.1016/S0301-0104(97)00240-1 (Pubitemid 128016089)
    • (1997) Chemical Physics , vol.225 , Issue.1-3 , pp. 203-222
    • Kutzelnigg, W.1
  • 6
    • 29744436245 scopus 로고    scopus 로고
    • Quasirelativistic theory equivalent to fully relativistic theory
    • DOI 10.1063/1.2137315, 241102
    • W. Kutzelnigg and W. Liu, J. Chem. Phys. 123, 241102 (2005). 10.1063/1.2137315 (Pubitemid 43032157)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.24 , pp. 1-4
    • Kutzelnigg, W.1    Liu, W.2
  • 7
    • 33745605779 scopus 로고    scopus 로고
    • Quasirelativistic theory I. Theory in terms of a quasi-relativistic operator
    • DOI 10.1080/00268970600662481, PII R32274530127712
    • W. Kutzelnigg and W. Liu, Mol. Phys. 104, 2225 (2006). 10.1080/00268970600662481 (Pubitemid 43982600)
    • (2006) Molecular Physics , vol.104 , Issue.13-14 , pp. 2225-2240
    • Kutzelnigg, W.1    Liu, W.2
  • 8
    • 34047157778 scopus 로고    scopus 로고
    • Quasirelativistic theory. II. Theory at matrix level
    • DOI 10.1063/1.2710258
    • W. Liu and W. Kutzelnigg, J. Chem. Phys. 126, 114107 (2007). 10.1063/1.2710258 (Pubitemid 46516341)
    • (2007) Journal of Chemical Physics , vol.126 , Issue.11 , pp. 114107
    • Liu, W.1    Kutzelnigg, W.2
  • 9
    • 67651151455 scopus 로고    scopus 로고
    • 10.1063/1.3159445
    • W. Liu and D. Peng, J. Chem. Phys. 131, 031104 (2009). 10.1063/1.3159445
    • (2009) J. Chem. Phys. , vol.131 , pp. 031104
    • Liu, W.1    Peng, D.2
  • 10
    • 33847008274 scopus 로고    scopus 로고
    • 10.1063/1.2436882
    • M. Ilia and T. Saue, J. Chem. Phys. 126, 064102 (2007). 10.1063/1.2436882
    • (2007) J. Chem. Phys. , vol.126 , pp. 064102
    • Ilia, M.1    Saue, T.2
  • 11
    • 33746896646 scopus 로고    scopus 로고
    • Infinite-order quasirelativistic density functional method based on the exact matrix quasirelativistic theory
    • DOI 10.1063/1.2222365
    • W. Liu and D. Peng, J. Chem. Phys. 125, 044102 (2006). 10.1063/1.2222365 (Pubitemid 44183330)
    • (2006) Journal of Chemical Physics , vol.125 , Issue.4 , pp. 044102
    • Liu, W.1    Peng, D.2
  • 14
    • 34548675380 scopus 로고    scopus 로고
    • Making four- and two-component relativistic density functional methods fully equivalent based on the idea of "from atoms to molecule"
    • DOI 10.1063/1.2772856
    • D. Peng, W. Liu, Y. Xiao, and L. Cheng, J. Chem. Phys. 127, 104106 (2007). 10.1063/1.2772856 (Pubitemid 47416070)
    • (2007) Journal of Chemical Physics , vol.127 , Issue.10 , pp. 104106
    • Peng, D.1    Liu, W.2    Xiao, Y.3    Cheng, L.4
  • 15
    • 77954627199 scopus 로고    scopus 로고
    • 10.1080/00268971003781571
    • W. Liu, Mol. Phys. 108, 1679 (2010). 10.1080/00268971003781571
    • (2010) Mol. Phys. , vol.108 , pp. 1679
    • Liu, W.1
  • 16
    • 80455123194 scopus 로고    scopus 로고
    • 10.1016/j.chemphys.2011.06.001
    • W. Kutzelnigg, Chem. Phys. (in press). 10.1016/j.chemphys.2011.06.001
    • Chem. Phys.
    • Kutzelnigg, W.1
  • 21
    • 0000479761 scopus 로고
    • 10.1016/0009-2614(94)01255-5
    • C. Park and J. E. Almlöf, Chem. Phys. Lett. 231, 269 (1994). 10.1016/0009-2614(94)01255-5
    • (1994) Chem. Phys. Lett. , vol.231 , pp. 269
    • Park, C.1    Almlöf, J.E.2
  • 22
    • 28444485314 scopus 로고    scopus 로고
    • Accurate and efficient treatment of two-electron contributions in quasirelativistic high-order Douglas-Kroll density-functional calculations
    • DOI 10.1063/1.2133731, 204113
    • C. van Wüllen and C. Michauk, J. Chem. Phys. 123, 204113 (2005). 10.1063/1.2133731 (Pubitemid 41722209)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.20 , pp. 1-8
    • Van Wullen, C.1    Michauk, C.2
  • 23
    • 79960161618 scopus 로고    scopus 로고
    • 10.1063/1.3601056
    • L. Cheng and J. Gauss, J. Chem. Phys. 134, 244112 (2011). 10.1063/1.3601056
    • (2011) J. Chem. Phys. , vol.134 , pp. 244112
    • Cheng, L.1    Gauss, J.2
  • 24
    • 36449000033 scopus 로고
    • 10.1063/1.466508
    • K. G. Dyall, J. Chem. Phys. 100, 2118 (1994). 10.1063/1.466508
    • (1994) J. Chem. Phys. , vol.100 , pp. 2118
    • Dyall, K.G.1
  • 25
    • 80052396803 scopus 로고    scopus 로고
    • 10.1063/1.3624397
    • L. Cheng and J. Gauss, J. Chem. Phys. 135, 084114 (2011). 10.1063/1.3624397
    • (2011) J. Chem. Phys. , vol.135 , pp. 084114
    • Cheng, L.1    Gauss, J.2
  • 26
    • 11144340506 scopus 로고    scopus 로고
    • Exact decoupling of the Dirac Hamlltonian. II. The generalized Douglas-Kroll-Hess transformation up to arbitrary order
    • DOI 10.1063/1.1818681, 12
    • M. Reiher and A. Wolf, J. Chem. Phys. 121, 10945 (2004). 10.1063/1.1818681 (Pubitemid 40020632)
    • (2004) Journal of Chemical Physics , vol.121 , Issue.22 , pp. 10945-10956
    • Reiher, M.1    Wolf, A.2
  • 27
    • 59349099428 scopus 로고    scopus 로고
    • 10.1063/1.3068310
    • D. Peng and K. Hirao, J. Chem. Phys. 130, 044102 (2009). 10.1063/1.3068310
    • (2009) J. Chem. Phys. , vol.130 , pp. 044102
    • Peng, D.1    Hirao, K.2
  • 28
    • 0001123216 scopus 로고    scopus 로고
    • 10.1002/(SICI)1097-461X(1997)65:3225::AID-QUA43.0.CO;2-Y
    • M. Barysz, A. J. Sadlej, and J. G. Snijders, Int. J. Quant. Chem. 65, 225 (1997). 10.1002/(SICI)1097-461X(1997)65:3225::AID-QUA43.0.CO;2-Y
    • (1997) Int. J. Quant. Chem. , vol.65 , pp. 225
    • Barysz, M.1    Sadlej, A.J.2    Snijders, J.G.3
  • 29
    • 0037084374 scopus 로고    scopus 로고
    • Infinite-order two-component theory for relativistic quantum chemistry
    • DOI 10.1063/1.1436462
    • M. Barysz and A. J. Sadlej, J. Chem. Phys. 116, 2696 (2002). 10.1063/1.1436462 (Pubitemid 34198126)
    • (2002) Journal of Chemical Physics , vol.116 , Issue.7 , pp. 2696-2704
    • Barysz, M.1    Sadlej, A.J.2
  • 30
    • 19944387310 scopus 로고    scopus 로고
    • Theoretical study of PbO and the PbO anion
    • DOI 10.1016/j.cplett.2005.04.027, PII S0009261405005440
    • M. Ilia, H. J. Aa. Jensen, V. Kellö, B. O. Roos, and M. Urban, Chem. Phys. Lett. 408, 210 (2005). 10.1016/j.cplett.2005.04.027 (Pubitemid 40748470)
    • (2005) Chemical Physics Letters , vol.408 , Issue.4-6 , pp. 210-215
    • Ilias, M.1    Jensen, H.J.Aa.2    Kello, V.3    Roos, B.O.4    Urban, M.5
  • 31
    • 0030489377 scopus 로고    scopus 로고
    • 10.1016/0301-0104(96)00137-1
    • V. A. Nasluzov and N. Rösch, Chem. Phys. 210, 413 (1996). 10.1016/0301-0104(96)00137-1
    • (1996) Chem. Phys. , vol.210 , pp. 413
    • Nasluzov, V.A.1    Rösch, N.2
  • 32
    • 0035147918 scopus 로고    scopus 로고
    • Parallel Douglas-Kroll energy and gradients in NWChem: Estimating scalar relativistic effects using Douglas-Kroll contracted basis sets
    • DOI 10.1063/1.1329891
    • W. A. de Jong, R. J. Harrison, and D. A. Dixon, J. Chem. Phys. 114, 48 (2001). 10.1063/1.1329891 (Pubitemid 32088357)
    • (2001) Journal of Chemical Physics , vol.114 , Issue.1 , pp. 48-53
    • De Jong, W.A.1    Harrison, R.J.2    Dixon, D.A.3
  • 33
    • 35349013068 scopus 로고    scopus 로고
    • Linear response formalism for the Douglas-Kroll-Hess approach to the Dirac-Kohn-Sham problem: First- and second-order nuclear displacement derivatives of the energy
    • DOI 10.1002/qua.21501
    • A. V. Matveev, V. A. Nasluzov, and N. Rösch, Int. J. Quantum Chem. 107, 3236 (2007). 10.1002/qua.21501 (Pubitemid 47610468)
    • (2007) International Journal of Quantum Chemistry , vol.107 , Issue.15 , pp. 3236-3249
    • Matveev, A.V.1    Nasluzov, V.A.2    Rosch, N.3
  • 44
    • 0031565717 scopus 로고    scopus 로고
    • 10.1016/S0009-2614(97)88036-0
    • J. Gauss and J. F. Stanton, Chem. Phys. Lett. 276, 70 (1997). 10.1016/S0009-2614(97)88036-0
    • (1997) Chem. Phys. Lett. , vol.276 , pp. 70
    • Gauss, J.1    Stanton, J.F.2
  • 46
    • 0037155381 scopus 로고    scopus 로고
    • 3
    • DOI 10.1063/1.1462612
    • J. Gauss, J. Chem. Phys. 116, 4773 (2002). 10.1063/1.1462612 (Pubitemid 34923835)
    • (2002) Journal of Chemical Physics , vol.116 , Issue.12 , pp. 4773-4776
    • Gauss, J.1
  • 47
    • 2342590152 scopus 로고    scopus 로고
    • 10.1063/1.1668632
    • M. Kllay and J. Gauss, J. Chem. Phys. 120, 6841 (2004). 10.1063/1.1668632
    • (2004) J. Chem. Phys. , vol.120 , pp. 6841
    • Kllay, M.1    Gauss, J.2
  • 48
  • 57
    • 84855285200 scopus 로고    scopus 로고
    • Ph.D. dissertation, Universität Mainz
    • C. Berger, Ph.D. dissertation, Universität Mainz, 2008.
    • (2008)
    • Berger, C.1
  • 66
    • 24144464461 scopus 로고    scopus 로고
    • Systematically convergent basis sets for transition metals. I. All-electron correlation consistent basis sets for the 3d elements Sc-Zn
    • DOI 10.1063/1.1998907, 064107
    • N. B. Balabanov, and K. A. Peterson, J. Chem. Phys. 123, 064107 (2005). 10.1063/1.1998907 (Pubitemid 41235438)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.6 , pp. 1-15
    • Balabanov, N.B.1    Peterson, K.A.2
  • 68
    • 0142055513 scopus 로고
    • 10.1016/0167-5729(87)90001-X
    • P. A. Thiel and T. F. Madey, Surf. Sci. Rep. 7, 211 (1987). 10.1016/0167-5729(87)90001-X
    • (1987) Surf. Sci. Rep. , vol.7 , pp. 211
    • Thiel, P.A.1    Madey, T.F.2
  • 75
    • 36348945282 scopus 로고    scopus 로고
    • ′ system of CuOH and CuOD
    • DOI 10.1016/j.cplett.2007.10.084, PII S0009261407014686
    • C. Tao, C. Mukarakate, and S. A. Reid, Chem. Phys. Lett. 449, 282 (2007). 10.1016/j.cplett.2007.10.084 (Pubitemid 350160615)
    • (2007) Chemical Physics Letters , vol.449 , Issue.4-6 , pp. 282-285
    • Tao, C.1    Mukarakate, C.2    Reid, S.A.3
  • 81
    • 0038218089 scopus 로고
    • 10.1021/cr00085a006
    • P. Pyykkö, Chem. Rev. 88, 563 (1988). 10.1021/cr00085a006
    • (1988) Chem. Rev. , vol.88 , pp. 563
    • Pyykkö, P.1
  • 85
    • 0001136801 scopus 로고
    • in, edited by K. N. Rao and C. W. Matthews (Academic, New York)
    • I. M. Mills, in Molecular Spectroscopy: Modern Research, edited by, K. N. Rao, and, C. W. Matthews, (Academic, New York, 1972), p. 115.
    • (1972) Molecular Spectroscopy: Modern Research , pp. 115
    • Mills, I.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.