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Volumn 112, Issue 50, 2008, Pages 13225-13230

Consequences of spin contamination in unrestricted calculations on open-shell species: Effect of Hartree-Fock and møller-plesset contributions in hybrid and double-hybrid density functional theory approaches

Author keywords

[No Author keywords available]

Indexed keywords

CONTAMINATION; FUNCTIONS; MOLECULAR PHYSICS; PROBABILITY DENSITY FUNCTION; SPIN DYNAMICS; SURFACE STRUCTURE;

EID: 58149152842     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp803064k     Document Type: Article
Times cited : (152)

References (60)
  • 1
    • 33748349486 scopus 로고    scopus 로고
    • For a recent review see: (a) Stanton, J. F.; Gauss, J. In Advances in Chemical Physics; Prigogine, I., Rice, S. A., Eds.; Wiley: New York, 2003; 125, p 101. See also:
    • For a recent review see: (a) Stanton, J. F.; Gauss, J. In Advances in Chemical Physics; Prigogine, I., Rice, S. A., Eds.; Wiley: New York, 2003; Vol. 125, p 101. See also:
  • 8
    • 0001890629 scopus 로고    scopus 로고
    • See. for example: Chipman, D. M. Theor. Chim. Acta 1992, 82. 93.
    • See. for example: Chipman, D. M. Theor. Chim. Acta 1992, 82. 93.
  • 9
    • 58149147803 scopus 로고    scopus 로고
    • In comparison with its restricted variant, an unrestricted Hartree- Fock wave function lowers the ground-state energy because of the inclusion of static correlation through the use of different orbitals for different spins, but at the same time it raises the energy by including higher-energy spin states. The variational principle guarantees that UHF predicts a lower energy than that predicted by RHF because of its greater flexibility, i.e, the first effect must be dominant. On the other hand, UMP leads to a higher energy than RMP because of the mixing in of higher-energy spin states
    • In comparison with its restricted variant, an unrestricted Hartree- Fock wave function lowers the ground-state energy because of the inclusion of static correlation through the use of different orbitals for different spins, but at the same time it raises the energy by including higher-energy spin states. The variational principle guarantees that UHF predicts a lower energy than that predicted by RHF because of its greater flexibility, i.e., the first effect must be dominant. On the other hand, UMP leads to a higher energy than RMP because of the mixing in of higher-energy spin states.
  • 14
    • 15644377113 scopus 로고
    • For a review of spin-projected extended HF methods, see
    • For a review of spin-projected extended HF methods, see: Mayer, I. Adv. Quantum Chem. 1980, 12, 189.
    • (1980) Adv. Quantum Chem , vol.12 , pp. 189
    • Mayer, I.1
  • 18
    • 0043067660 scopus 로고
    • and references therein
    • (c) Wong, M. W.; Radom, L. J. Phys. Chem. 1995, 99, 8582, and references therein.
    • (1995) J. Phys. Chem , vol.99 , pp. 8582
    • Wong, M.W.1    Radom, L.2
  • 22
    • 0000360975 scopus 로고    scopus 로고
    • Chemical Applications of Density-Functional Theory
    • See, for example: Laird, B. B, Ross, R. B, Ziegler, T, Eds, American Chemical Society: Washington, DC
    • See, for example: Laird, B. B., Ross, R. B., Ziegler, T., Eds. Chemical Applications of Density-Functional Theory; ACS Symp. Ser. 629; American Chemical Society: Washington, DC, 1996.
    • (1996) ACS Symp. Ser , vol.629
  • 28
    • 84981654257 scopus 로고    scopus 로고
    • It has been argued that UDFT is more appropriate than RDFT for open-shell systems. Pople, J. A, Gill, P. M. W, Handy, N. C. Int. J. Quantum Chem. 1995, 56, 303
    • It has been argued that UDFT is more appropriate than RDFT for open-shell systems. Pople, J. A.; Gill, P. M. W.; Handy, N. C. Int. J. Quantum Chem. 1995, 56, 303.
  • 33
    • 23844450333 scopus 로고    scopus 로고
    • An increase in spin contamination in the Kohn-Sham determinant with increasing exact-exchange admixture has also been reported in calculations on EPR hyperfine coupling constants and electronic g-tensors for transition metal complexes. See, for example: Remenyi, C, Kaupp, M. J. Am. Chem. Soc. 2005, 127, 11399, and references therein
    • An increase in spin contamination in the Kohn-Sham determinant with increasing exact-exchange admixture has also been reported in calculations on EPR hyperfine coupling constants and electronic g-tensors for transition metal complexes. See, for example: Remenyi, C.; Kaupp, M. J. Am. Chem. Soc. 2005, 127, 11399, and references therein.
  • 36
    • 38649135697 scopus 로고    scopus 로고
    • Modified versions of the original double-hybrid DFT procedures have recently been proposed, (a) Tarnopolsky, A.; Karton, A.; Sertchook. R.; Vuzman, D.; Martin, J. M. L. J. Phys. Chem. A 2008, 112, 3.
    • Modified versions of the original double-hybrid DFT procedures have recently been proposed, (a) Tarnopolsky, A.; Karton, A.; Sertchook. R.; Vuzman, D.; Martin, J. M. L. J. Phys. Chem. A 2008, 112, 3.
  • 37
    • 58149147157 scopus 로고    scopus 로고
    • Karton, A.; Tarnopolsky, A.; Lamere, J.-F.; Schatz, G. C.; Martin, J. M. L. J. Phys. Chem. A [Online early access], DOI: 10.1021/jp801805p. Published Online: Aug 20, 2008. B2T-PLYP is a version of B2-PLYP, modified for use in thermochemical calculations, while B2K- PLYP and MPW2K-PLYP are versions of B2-PLYP and MPW2-PLYP modified for kinetics calculations.
    • (b) Karton, A.; Tarnopolsky, A.; Lamere, J.-F.; Schatz, G. C.; Martin, J. M. L. J. Phys. Chem. A [Online early access], DOI: 10.1021/jp801805p. Published Online: Aug 20, 2008. B2T-PLYP is a version of B2-PLYP, modified for use in thermochemical calculations, while B2K- PLYP and MPW2K-PLYP are versions of B2-PLYP and MPW2-PLYP modified for kinetics calculations.
  • 38
    • 58149155141 scopus 로고    scopus 로고
    • Frisch, M. J, Trucks, G. W, Schlegel, H. B, Scuseria, G. E, Robb, M. A, Cheeseman, J. R, Montgomery, J. A, Jr, Vreven, T, Kudin, K. N, Burant, J. C; Millam, J. M, Iyengar, S. S, Tomasi, J, Barone, V, Mennucci, B, Cossi, M, Scalmani, G, Rega, N, Petersson, G. A, Nakatsuji, H, Hada, M, Ehara, M, Toyota, K, Fukuda, R, Hasegawa, J, Ishida, M, Nakajima, T, Honda, Y, Kitao, O, Nakai, H, Klene, M, Li, X, Knox, J. E, Hratchian, H. P, Cross, J. B, Bakken. V, Adamo, C; Jaramillo, J, Gomperts, R, Stratmann, R. E, Yazyev, O, Austin, A. J, Cammi, R, Pomelli, C, Ochterski, J. W, Ayala, P. Y, Morokuma, K, Voth, G. A, Salvador, P, Dannenberg, J. J, Zakrzewski, V. G, Dapprich, S, Daniels, A. D, Strain, M. C, Farkas, O, Malick, D. K, Rabuck, A. D, Raghavachari, K, Foresman, J. B, Ortiz, J. V, Cui, Q, Baboul, A. G, Clifford, S, Cioslowski, J, Stefanov, B. B, Liu. G, Liashenko, A, Piskorz. P, Komaromi, I, Martin. R. L, Fox. D. J, Keith
    • Frisch, M. J.; Trucks, G. W.: Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Montgomery, J. A., Jr.; Vreven, T.; Kudin, K. N.; Burant, J. C; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.: Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Bakken. V.; Adamo, C; Jaramillo, J.; Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin, A. J.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Zakrzewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Foresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu. G.; Liashenko, A.; Piskorz. P.; Komaromi, I.; Martin. R. L.; Fox. D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.; Challacombe, M.; Gill, P. M. W.; Johnson, B.; Chen, W.; Wong, M. W.; Gonzalez, C.; and Pople, J. A. GAUSSIAN 03, revision E.01; Gaussian, Inc.: Wallingford, CT, 2004.
  • 40
    • 58149147806 scopus 로고    scopus 로고
    • Menon, A. S.; Wood, G. P. F.; Moran, D.; Radom, L. J. Phys. Chem. A 2007, 111, 13638. Menon, A. S.; Wood, G. P. F.; Moran, D.; Radom, L. J. Phys. Chem. A 2008, 112, 5554.
    • (a) Menon, A. S.; Wood, G. P. F.; Moran, D.; Radom, L. J. Phys. Chem. A 2007, 111, 13638. Menon, A. S.; Wood, G. P. F.; Moran, D.; Radom, L. J. Phys. Chem. A 2008, 112, 5554.
  • 50
    • 58149165528 scopus 로고    scopus 로고
    • -1 as compared to those reported in the previous paper (ref 29a) due to the use of different programs for the calculations.
    • -1 as compared to those reported in the previous paper (ref 29a) due to the use of different programs for the calculations.
  • 55
    • 58149148578 scopus 로고    scopus 로고
    • Schlegel, H. B. In Encyclopedia of Computational Chemistry; Schleyer, P. v. R., Allinger, N. L., Clark, T., Gasteiger, J., Kollman, P. A., Schaefer, H. F., III., Schremer, P. R., Eds.; Wiley: Chichester, U.K., 1998; 4.
    • (c) Schlegel, H. B. In Encyclopedia of Computational Chemistry; Schleyer, P. v. R., Allinger, N. L., Clark, T., Gasteiger, J., Kollman, P. A., Schaefer, H. F., III., Schremer, P. R., Eds.; Wiley: Chichester, U.K., 1998; Vol. 4.
  • 57
  • 60
    • 58149165530 scopus 로고    scopus 로고
    • UMP2 values are listed in Table S1 of the Supporting Information.
    • UMP2 values are listed in Table S1 of the Supporting Information.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.