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Volumn 104, Issue 8, 2000, Pages 1748-1761

An accurate description of the Bergman reaction using restricted and unrestricted DFT: Stability test, spin density, and on-top pair density 1

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EID: 0038252597     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp993122q     Document Type: Article
Times cited : (263)

References (107)
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    • (h) Gill, P. In Encyclopedia of Computational Chemistry; Schleyer, P. v. R., Allinger, N. L., Clark. T., Gasteiger, J., Kollman, P. A., Schaefer, H. F., III, Schreiner, P. R., Eds.; Wiley: Chichester, UK, 1998; Vol. I, p 678.
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    • Ziesche, P., Eschrig, H., Eds.; Akademie Verlag: Berlin
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    • (1991) Electronic Structure of Solids '91 , pp. 11
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    • ACS Symposium Series 629; Laird, B. B., Ross, R. B., Ziegler, T., Eds.; American Chemical Society: Washington, DC
    • See, for example: (a) Lim, M. H.; Worthington, S. E.; Dulles, F. J.; Cramer, C. J. In Chemical Applications of Density Functional Theory; Laird, B. B., Ross, R. B., Ziegler, T., Eds.; ACS Symposium Series 629; American Chemical Society: Washington, DC, 1996; p 402.
    • (1996) Chemical Applications of Density Functional Theory , pp. 402
    • Lim, M.H.1    Worthington, S.E.2    Dulles, F.J.3    Cramer, C.J.4
  • 79
    • 0000336180 scopus 로고
    • For a more complete description of P(r,r)
    • (a) Perdew, J. P.; Savin, A.; Burke, K. Phys. Rev. A 1995, 51,4531. For a more complete description of P(r,r),
    • (1995) Phys. Rev. A , vol.51 , pp. 4531
    • Perdew, J.P.1    Savin, A.2    Burke, K.3
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    • 0000360975 scopus 로고    scopus 로고
    • Laird, B. B., Ross, R. B., Ziegler, T., Eds.; ACS Symposium Series 629; American Chemical Society: Washington, DC
    • Baker, J.; Muir, M.; Andzelm, J.; Schreiner, A. In Chemical Applications of Density Functional Theory; Laird, B. B., Ross, R. B., Ziegler, T., Eds.; ACS Symposium Series 629; American Chemical Society: Washington, DC, 1996; p 342.
    • (1996) Chemical Applications of Density Functional Theory , pp. 342
    • Baker, J.1    Muir, M.2    Andzelm, J.3    Schreiner, A.4
  • 98
    • 0041339573 scopus 로고    scopus 로고
    • note
    • While for UDFT the static correlation energy is contained explicitly in the DFT exchange energy in the HF case, static electron correlation effects are covered implicitly by Coulomb self-interactions, which are larger in the unrestricted than the restricted case. Considering a diatomic molecule (the situation is similar for the biradicals considered in this work), the UHF spin - orbitals are more localized than the RHF space orbitals. Consequently, self-interactions are smaller in the RHF description. Assuming that RHF and UHF description lead to the same Coulomb repulsion energy, deduction of the exchange energy (which contains the self-interaction energy) leads to smaller (more negative) electron interaction energy and total energy in the unrestricted case. This decrease in the UHF energy can be considered to mimic static correlation effects.
  • 101
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    • (b) 1955, 97, 1490.
    • (1955) Phys. Rev. , vol.97 , pp. 1490


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