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Volumn 131, Issue 15, 2009, Pages

Local hybrids as a perturbation to global hybrid functionals

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONALS; GENERALIZED GRADIENT APPROXIMATIONS; HARTREE-FOCK EXCHANGES; HYBRID FUNCTIONALS; MOLECULAR THERMOCHEMISTRY; NON-LOCAL EXCHANGE; NONLOCAL; REACTION BARRIERS; SMALL PERTURBATIONS;

EID: 70449348564     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3247288     Document Type: Article
Times cited : (37)

References (94)
  • 1
    • 10644250257 scopus 로고
    • 0096-8250, 10.1103/PhysRev.136.B864
    • P. Hohenberg and W. Kohn, Phys. Rev. 0096-8250 136, B864 (1964). 10.1103/PhysRev.136.B864
    • (1964) Phys. Rev. , vol.136 , pp. 864
    • Hohenberg, P.1    Kohn, W.2
  • 2
    • 0042113153 scopus 로고
    • 10.1103/PhysRev.140.A1133
    • W. Kohn and L. J. Sham, Phys. Rev 140, A1133 (1965). 10.1103/PhysRev.140. A1133
    • (1965) Phys. Rev , vol.140 , pp. 1133
    • Kohn, W.1    Sham, L.J.2
  • 6
    • 0003838470 scopus 로고    scopus 로고
    • edited by V. E. Van Doren, K. Van Alsenoy, and P. Geerlings (American Institute of Physics, Melville, NY).
    • J. P. Perdew and K. Schmidt, in Density Functional Theory and its Applications to Materials, edited by, V. E. Van Doren, K. Van Alsenoy, and, P. Geerlings, (American Institute of Physics, Melville, NY, 2001).
    • (2001) Density Functional Theory and Its Applications to Materials
    • Perdew, J.P.1    Schmidt, K.2
  • 7
    • 34250817103 scopus 로고
    • 0021-9606, 10.1063/1.464304
    • A. D. Becke, J. Chem. Phys. 0021-9606 98, 1372 (1993). 10.1063/1.464304
    • (1993) J. Chem. Phys. , vol.98 , pp. 1372
    • Becke, A.D.1
  • 8
    • 0000189651 scopus 로고
    • 0021-9606, 10.1063/1.464913
    • A. D. Becke, J. Chem. Phys. 0021-9606 98, 5648 (1993). 10.1063/1.464913
    • (1993) J. Chem. Phys. , vol.98 , pp. 5648
    • Becke, A.D.1
  • 11
    • 0001006790 scopus 로고    scopus 로고
    • 0021-9606, 10.1063/1.480951
    • A. D. Becke, J. Chem. Phys. 0021-9606 112, 4020 (2000). 10.1063/1.480951
    • (2000) J. Chem. Phys. , vol.112 , pp. 4020
    • Becke, A.D.1
  • 12
    • 0035841952 scopus 로고    scopus 로고
    • Density functional theory: Coverage of dynamic and non-dynamic electron correlation effects
    • DOI 10.1080/00268970110083564
    • D. Cremer, Mol. Phys. 0026-8976 99, 1899 (2001). 10.1080/ 00268970110083564 (Pubitemid 35236390)
    • (2001) Molecular Physics , vol.99 , Issue.23 , pp. 1899-1940
    • Cremer, D.1
  • 13
    • 24144451155 scopus 로고    scopus 로고
    • Away from generalized gradient approximation: Orbital-dependent exchange-correlation functionals
    • DOI 10.1063/1.1904566, 062202
    • E. J. Baerends and O. V. Gritsenko, J. Chem. Phys. 0021-9606 123, 062202 (2005). 10.1063/1.1904566 (Pubitemid 41231960)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.6 , pp. 1-17
    • Baerends, E.J.1    Gritsenko, O.V.2
  • 14
    • 0041378230 scopus 로고    scopus 로고
    • 0021-9606, 10.1063/1.1589733
    • A. D. Becke, J. Chem. Phys. 0021-9606 119, 2972 (2003). 10.1063/1.1589733
    • (2003) J. Chem. Phys. , vol.119 , pp. 2972
    • Becke, A.D.1
  • 15
    • 22944434538 scopus 로고    scopus 로고
    • Real-space post-Hartree-Fock correlation models
    • DOI 10.1063/1.1844493, 064101
    • A. D. Becke, J. Chem. Phys. 0021-9606 122, 064101 (2005). 10.1063/1.1844493 (Pubitemid 41042250)
    • (2005) Journal of Chemical Physics , vol.122 , Issue.6 , pp. 1-6
    • Becke, A.D.1
  • 16
    • 0001538098 scopus 로고    scopus 로고
    • Generalized adiabatic connection in density functional theory
    • DOI 10.1063/1.477701, PII S0021960698306479
    • W. Yang, J. Chem. Phys. 0021-9606 109, 10107 (1998). 10.1063/1.477701 (Pubitemid 128678442)
    • (1998) Journal of Chemical Physics , vol.109 , Issue.23 , pp. 10107-10110
    • Yang, W.1
  • 18
    • 0030581007 scopus 로고    scopus 로고
    • Evaluation of transition state properties by density functional theory
    • DOI 10.1016/0009-2614(96)00478-2, PII S0009261496004782
    • J. L. Durant, Chem. Phys. Lett. 0009-2614 256, 595 (1996). 10.1016/0009-2614(96)00478-2 (Pubitemid 126161449)
    • (1996) Chemical Physics Letters , vol.256 , Issue.6 , pp. 595-602
    • Durant, J.L.1
  • 19
    • 36348972829 scopus 로고    scopus 로고
    • Local hybrid functionals: An assessment for thermochemical kinetics
    • DOI 10.1063/1.2795700
    • M. Kaupp, H. Bahmann, and A. V. Arbuznikov, J. Chem. Phys. 0021-9606 127, 194102 (2007). 10.1063/1.2795700 (Pubitemid 350159070)
    • (2007) Journal of Chemical Physics , vol.127 , Issue.19 , pp. 194102
    • Kaupp, M.1    Bahmann, H.2    Arbuznikov, A.V.3
  • 20
    • 0005249899 scopus 로고    scopus 로고
    • Density functionals from the extended G2 test set: Second-order gradient corrections
    • DOI 10.1063/1.477481, PII S0021960698303438
    • H. L. Schmider and A. D. Becke, J. Chem. Phys. 0021-9606 109, 8188 (1998). 10.1063/1.477481 (Pubitemid 128672177)
    • (1998) Journal of Chemical Physics , vol.109 , Issue.19 , pp. 8188-8199
    • Schmider, H.L.1    Becke, A.D.2
  • 22
    • 0000658906 scopus 로고    scopus 로고
    • Unambiguous exchange-correlation energy density
    • DOI 10.1063/1.477479, PII S0021960698302433
    • K. Burke, F. G. Cruz, and K. -C. Lam, J. Chem. Phys. 0021-9606 109, 8161 (1998). 10.1063/1.477479 (Pubitemid 128672174)
    • (1998) Journal of Chemical Physics , vol.109 , Issue.19 , pp. 8161-8167
    • Burke, K.1    Cruz, F.G.2    Lam, K.-C.3
  • 24
  • 25
    • 34247892460 scopus 로고    scopus 로고
    • Local hybrid exchange-correlation functionals based on the dimensionless density gradient
    • DOI 10.1016/j.cplett.2007.04.020, PII S0009261407004605
    • A. V. Arbuznikov and M. Kaupp, Chem. Phys. Lett. 0009-2614 440, 160 (2007). 10.1016/j.cplett.2007.04.020 (Pubitemid 46693736)
    • (2007) Chemical Physics Letters , vol.440 , Issue.1-3 , pp. 160-168
    • Arbuznikov, A.V.1    Kaupp, M.2
  • 26
    • 36048999106 scopus 로고    scopus 로고
    • Local hybrid functionals based on density matrix products
    • DOI 10.1063/1.2784406
    • B. G. Janesko and G. E. Scuseria, J. Chem. Phys. 0021-9606 127, 164117 (2007). 10.1063/1.2784406 (Pubitemid 350094838)
    • (2007) Journal of Chemical Physics , vol.127 , Issue.16 , pp. 164117
    • Janesko, B.G.1    Scuseria, G.E.2
  • 27
    • 40149093723 scopus 로고    scopus 로고
    • Parameterized local hybrid functionals from density-matrix similarity metrics
    • DOI 10.1063/1.2831556
    • B. G. Janesko and G. E. Scuseria, J. Chem. Phys. 0021-9606 128, 084111 (2008). 10.1063/1.2831556 (Pubitemid 351328686)
    • (2008) Journal of Chemical Physics , vol.128 , Issue.8 , pp. 084111
    • Janesko, B.G.1    Scuseria, G.E.2
  • 31
    • 34547237142 scopus 로고    scopus 로고
    • From local hybrid functionals to localized local hybrid potentials: Formalism and thermochemical tests
    • DOI 10.1063/1.2196883
    • A. V. Arbuznikov, M. Kaupp, and H. Bahmann, J. Chem. Phys. 0021-9606 124, 204102 (2006). 10.1063/1.2196883 (Pubitemid 43838593)
    • (2006) Journal of Chemical Physics , vol.124 , Issue.20 , pp. 204102
    • Arbuznikov, A.V.1    Kaupp, M.2    Bahmann, H.3
  • 32
    • 34347361549 scopus 로고    scopus 로고
    • Nuclear shielding constants from localized local hybrid exchange-correlation potentials
    • DOI 10.1016/j.cplett.2007.06.015, PII S0009261407007452
    • A. V. Arbuznikov and M. Kaupp, Chem. Phys. Lett. 0009-2614 442, 496 (2007). 10.1016/j.cplett.2007.06.015 (Pubitemid 47016425)
    • (2007) Chemical Physics Letters , vol.442 , Issue.4-6 , pp. 496-503
    • Arbuznikov, A.V.1    Kaupp, M.2
  • 33
    • 44849094856 scopus 로고    scopus 로고
    • 0021-9606, 10.1063/1.2920196
    • A. V. Arbuznikov and M. Kaupp, J. Chem. Phys. 0021-9606 128, 214107 (2008). 10.1063/1.2920196
    • (2008) J. Chem. Phys. , vol.128 , pp. 214107
    • Arbuznikov, A.V.1    Kaupp, M.2
  • 35
    • 0001696531 scopus 로고
    • 0163-1829, 10.1103/PhysRevB.41.7868
    • D. M. Bylander and L. Kleinman, Phys. Rev. B 0163-1829 41, 7868 (1990). 10.1103/PhysRevB.41.7868
    • (1990) Phys. Rev. B , vol.41 , pp. 7868
    • Bylander, D.M.1    Kleinman, L.2
  • 37
    • 3242884626 scopus 로고    scopus 로고
    • 0021-9606, 10.1063/1.1760074
    • J. Heyd and G. E. Scuseria, J. Chem. Phys. 0021-9606 121, 1187 (2004). 10.1063/1.1760074
    • (2004) J. Chem. Phys. , vol.121 , pp. 1187
    • Heyd, J.1    Scuseria, G.E.2
  • 39
    • 33845753887 scopus 로고    scopus 로고
    • Assessment of a long-range corrected hybrid functional
    • DOI 10.1063/1.2409292
    • O. A. Vydrov and G. E. Scuseria, J. Chem. Phys. 0021-9606 125, 234109 (2006). 10.1063/1.2409292 (Pubitemid 46013638)
    • (2006) Journal of Chemical Physics , vol.125 , Issue.23 , pp. 234109
    • Vydrov, O.A.1    Scuseria, G.E.2
  • 40
  • 42
    • 0012098975 scopus 로고    scopus 로고
    • Generalized gradient approximation to the angle- and system-averaged exchange hole
    • DOI 10.1063/1.476928, PII S0021960698002335
    • M. Ernzerhof and J. P. Perdew, J. Chem. Phys. 0021-9606 109, 3313 (1998). 10.1063/1.476928 (Pubitemid 128678234)
    • (1998) Journal of Chemical Physics , vol.109 , Issue.9 , pp. 3313-3320
    • Ernzerhof, M.1    Perdew, J.P.2
  • 48
    • 22944466712 scopus 로고    scopus 로고
    • Short-range exchange and correlation energy density functionals: Beyond the local-density approximation
    • DOI 10.1063/1.1824896, 014110
    • J. Toulouse, F. Colonna, and A. Savin, J. Chem. Phys. 0021-9606 122, 014110 (2005). 10.1063/1.1824896 (Pubitemid 41047753)
    • (2005) Journal of Chemical Physics , vol.122 , Issue.1 , pp. 1-10
    • Toulouse, J.1    Colonna, F.2    Savin, A.3
  • 49
    • 26444488147 scopus 로고    scopus 로고
    • Hybrid functional with separated range
    • DOI 10.1016/j.cplett.2005.08.060, PII S0009261405012455
    • I. C. Gerber and J. G. ngyán, Chem. Phys. Lett. 0009-2614 415, 100 (2005). 10.1016/j.cplett.2005.08.060 (Pubitemid 41425851)
    • (2005) Chemical Physics Letters , vol.415 , Issue.1-3 , pp. 100-105
    • Gerber, I.C.1    Angyan, J.G.2
  • 50
    • 23344450290 scopus 로고    scopus 로고
    • Nonlinear optical property calculations by the long-range-corrected coupled-perturbed Kohn-Sham method
    • DOI 10.1063/1.1935514, 234111
    • M. Kamiya, H. Sekino, T. Tsuneda, and K. Hirao, J. Chem. Phys. 0021-9606 122, 234111 (2005). 10.1063/1.1935514 (Pubitemid 41100398)
    • (2005) Journal of Chemical Physics , vol.122 , Issue.23 , pp. 1-10
    • Kamiya, M.1    Sekino, H.2    Tsuneda, T.3    Hirao, K.4
  • 51
    • 33747615729 scopus 로고    scopus 로고
    • Importance of short-range versus long-range Hartree-Fock exchange for the performance of hybrid density functionals
    • DOI 10.1063/1.2244560
    • O. A. Vydrov, J. Heyd, A. V. Krukau, and G. E. Scuseria, J. Chem. Phys. 0021-9606 125, 074106 (2006). 10.1063/1.2244560 (Pubitemid 44267408)
    • (2006) Journal of Chemical Physics , vol.125 , Issue.7 , pp. 074106
    • Vydrov, O.A.1    Heyd, J.2    Krukau, A.V.3    Scuseria, G.E.4
  • 52
    • 34247352888 scopus 로고    scopus 로고
    • Tests of functionals for systems with fractional electron number
    • DOI 10.1063/1.2723119
    • O. A. Vydrov, G. E. Scuseria, and J. P. Perdew, J. Chem. Phys. 0021-9606 126, 154109 (2007). 10.1063/1.2723119 (Pubitemid 46644911)
    • (2007) Journal of Chemical Physics , vol.126 , Issue.15 , pp. 154109
    • Vydrov, O.A.1    Scuseria, G.E.2    Perdew, J.P.3
  • 53
  • 55
    • 44349094803 scopus 로고    scopus 로고
    • Generalized gradient approximation model exchange holes for range-separated hybrids
    • DOI 10.1063/1.2921797
    • T. M. Henderson, B. G. Janesko, and G. E. Scuseria, J. Chem. Phys. 0021-9606 128, 194105 (2008). 10.1063/1.2921797 (Pubitemid 351733967)
    • (2008) Journal of Chemical Physics , vol.128 , Issue.19 , pp. 194105
    • Henderson, T.M.1    Janesko, B.G.2    Scuseria, G.E.3
  • 56
    • 47249084227 scopus 로고    scopus 로고
    • 0021-9606, 10.1063/1.2937447
    • H. Bahmann and M. Ernzerhof, J. Chem. Phys. 0021-9606 128, 234104 (2008). 10.1063/1.2937447
    • (2008) J. Chem. Phys. , vol.128 , pp. 234104
    • Bahmann, H.1    Ernzerhof, M.2
  • 60
    • 28544448728 scopus 로고    scopus 로고
    • 10.1021/cr0505627 0009-2665
    • A. Dreuw and M. Head-Gordon, Chem. Rev. 105, 4009 (2005). 10.1021/cr0505627 0009-2665
    • (2005) Chem. Rev. , vol.105 , pp. 4009
    • Dreuw, A.1    Head-Gordon, M.2
  • 61
    • 27844433239 scopus 로고    scopus 로고
    • 0026-8976, 10.1080/00268970500083994
    • H. Sekino, Y. Maeda, and M. Kamiya, Mol. Phys. 0026-8976 103, 2183 (2005). 10.1080/00268970500083994
    • (2005) Mol. Phys. , vol.103 , pp. 2183
    • Sekino, H.1    Maeda, Y.2    Kamiya, M.3
  • 62
    • 0001754877 scopus 로고
    • 1050-2947, 10.1103/PhysRevA.29.2322
    • C. O. Almbladh and A. C. Pedroza, Phys. Rev. A 1050-2947 29, 2322 (1984). 10.1103/PhysRevA.29.2322
    • (1984) Phys. Rev. A , vol.29 , pp. 2322
    • Almbladh, C.O.1    Pedroza, A.C.2
  • 63
    • 24544463188 scopus 로고
    • 1050-2947, 10.1103/PhysRevA.30.2745
    • M. Levy, J. P. Perdew, and V. Sahni, Phys. Rev. A 1050-2947 30, 2745 (1984). 10.1103/PhysRevA.30.2745
    • (1984) Phys. Rev. A , vol.30 , pp. 2745
    • Levy, M.1    Perdew, J.P.2    Sahni, V.3
  • 64
    • 0242573642 scopus 로고    scopus 로고
    • 1089-5639, () 10.1021/jp035287b;, J. Phys. Chem. A 108, 1460 (2004). 10.1021/jp0379190
    • B. J. Lynch and D. G. Truhlar, J. Phys. Chem. A 1089-5639 107, 8996 (2003) 10.1021/jp035287b; B. J. Lynch and D. G. Truhlar, J. Phys. Chem. A 108, 1460 (2004). 10.1021/jp0379190
    • (2003) J. Phys. Chem. A , vol.107 , pp. 8996
    • Lynch, B.J.1    Truhlar, D.G.2    Lynch, B.J.3    Truhlar, D.G.4
  • 65
    • 0001475454 scopus 로고    scopus 로고
    • 0021-9606, 10.1063/1.478522
    • C. Adamo and V. Barone, J. Chem. Phys. 0021-9606 110, 6158 (1999). 10.1063/1.478522
    • (1999) J. Chem. Phys. , vol.110 , pp. 6158
    • Adamo, C.1    Barone, V.2
  • 68
    • 5944261746 scopus 로고
    • 0163-1829, 10.1103/PhysRevB.33.8822
    • J. P. Perdew, Phys. Rev. B 0163-1829 33, 8822 (1986). 10.1103/PhysRevB.33.8822
    • (1986) Phys. Rev. B , vol.33 , pp. 8822
    • Perdew, J.P.1
  • 70
    • 0343180149 scopus 로고
    • 0340-2193, 10.1007/BF01413038
    • E. K. U. Gross and R. M. Dreizler, Z. Phys. A 0340-2193 302, 103 (1981). 10.1007/BF01413038
    • (1981) Z. Phys. A , vol.302 , pp. 103
    • Gross, E.K.U.1    Dreizler, R.M.2
  • 71
    • 70449361176 scopus 로고    scopus 로고
    • GAUSSIAN 03, Revision G.01, Gaussian, Inc., Wallingford CT.
    • M. J. Frisch, G. W. Trucks, H. B. Schlegel, GAUSSIAN 03, Revision G.01, Gaussian, Inc., Wallingford CT, 2007.
    • (2007)
    • Frisch, M.J.1    Trucks, G.W.2    Schlegel, H.B.3
  • 74
    • 33746614482 scopus 로고
    • 0021-9606, 10.1063/1.456153
    • T. H. Dunning, Jr., J. Chem. Phys. 0021-9606 90, 1007 (1989). 10.1063/1.456153
    • (1989) J. Chem. Phys. , vol.90 , pp. 1007
    • Dunning Jr., T.H.1
  • 75
    • 4243943295 scopus 로고    scopus 로고
    • 0031-9007, () 10.1103/PhysRevLett.77.3865;, Phys. Rev. Lett. 0031-9007 78, 1396 (1997). 10.1103/PhysRevLett.78.1396
    • J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 0031-9007 77, 3865 (1996) 10.1103/PhysRevLett.77.3865; J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 0031-9007 78, 1396 (1997). 10.1103/PhysRevLett.78. 1396
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3865
    • Perdew, J.P.1    Burke, K.2    Ernzerhof, M.3    Perdew, J.P.4    Burke, K.5    Ernzerhof, M.6
  • 76
    • 33846410438 scopus 로고
    • 0096-8250, 10.1103/PhysRev.81.385
    • J. C. Slater, Phys. Rev. 0096-8250 81, 385 (1951). 10.1103/PhysRev.81.385
    • (1951) Phys. Rev. , vol.81 , pp. 385
    • Slater, J.C.1
  • 80
    • 70449396292 scopus 로고    scopus 로고
    • 2 was included in the G2/97 and G3/99 test sets following Ref.
    • 2 was included in the G2/97 and G3/99 test sets following Ref.
  • 81
    • 0035147937 scopus 로고    scopus 로고
    • Gaussian-3X (G3X) theory: Use of improved geometries, zero-point energies, and Hartree-Fock basis sets
    • DOI 10.1063/1.1321305
    • L. A. Curtiss, P. C. Redfern, K. Raghavachari, and J. A. Pople, J. Chem. Phys. 0021-9606 114, 108 (2001). 10.1063/1.1321305 (Pubitemid 32088365)
    • (2001) Journal of Chemical Physics , vol.114 , Issue.1 , pp. 108-117
    • Curtiss, L.A.1    Redfern, P.C.2    Raghavachari, K.3    Pople, J.A.4
  • 88
    • 4243553426 scopus 로고
    • 1050-2947, 10.1103/PhysRevA.38.3098
    • A. D. Becke, Phys. Rev. A 1050-2947 38, 3098 (1988). 10.1103/PhysRevA.38. 3098
    • (1988) Phys. Rev. A , vol.38 , pp. 3098
    • Becke, A.D.1
  • 89
    • 0345491105 scopus 로고
    • 0163-1829, 10.1103/PhysRevB.37.785
    • C. Lee, W. Yang, and R. G. Parr, Phys. Rev. B 0163-1829 37, 785 (1988). 10.1103/PhysRevB.37.785
    • (1988) Phys. Rev. B , vol.37 , pp. 785
    • Lee, C.1    Yang, W.2    Parr, R.G.3
  • 91
    • 70449347678 scopus 로고    scopus 로고
    • See EPAPS supplementary material at E-JCPSA6-131-052940 for all used geometries, zero-point energies, and reference values.
    • See EPAPS supplementary material at http://dx.doi.org/10.1063/1.3247288 E-JCPSA6-131-052940 for all used geometries, zero-point energies, and reference values.
  • 92
    • 70449434373 scopus 로고    scopus 로고
    • 2 here).
    • 2 here).
  • 93
    • 70449381847 scopus 로고    scopus 로고
    • These results differ slightly from those published in Refs. due to the computational setu(we used GKS calculations with a different basis set).
    • These results differ slightly from those published in Refs. due to the computational setup (we used GKS calculations with a different basis set).
  • 94
    • 70449448789 scopus 로고    scopus 로고
    • Please note that the assessed quantity here is the atomization energy rather than the enthalpy of formation because the thermodynamical corrections were not calculated by these methods but on the B3LYP/6-31G(2df,p) level of theory.
    • Please note that the assessed quantity here is the atomization energy rather than the enthalpy of formation because the thermodynamical corrections were not calculated by these methods but on the B3LYP/6-31G(2df,p) level of theory.


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