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Volumn 60, Issue 5, 1999, Pages 4135-4139

Critical analysis of the Colle-Salvetti wave-function functional of the density

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EID: 0001666383     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.4135     Document Type: Article
Times cited : (51)

References (28)
  • 4
    • 0346039924 scopus 로고
    • Theor. Chim. ActaR. Colle et al, 49, 37 (1978)
    • (1978) , vol.49 , pp. 37
    • Colle, R.1
  • 7
    • 85037191169 scopus 로고
    • Int. J. Quantum Chem., Symp.L. Cohen et al, 19, 525 (1986).
    • (1986) , vol.19 , pp. 525
    • Cohen, L.1
  • 9
    • 85037208396 scopus 로고    scopus 로고
    • M. J. Frisch et al. Gaussian 94, revision C4 (Gaussian Inc., Pittsburg, PA, 1995)
    • M. J. Frisch et al., Gaussian 94, revision C4 (Gaussian Inc., Pittsburg, PA, 1995).
  • 27
    • 85037252054 scopus 로고    scopus 로고
    • M. Flocco, Ph.D. thesis, City University of New York, 1989 (unpublished)
    • M. Flocco, Ph.D. thesis, City University of New York, 1989 (unpublished).
  • 28
    • 85037210105 scopus 로고    scopus 로고
    • Since the CS empirical formula has been fit to the exact He atom correlation energy, it incorporates part of the correlation–kinetic energy, as does the LYP functional that follows from it. However, a separation into the Coulomb correlation and correlation–kinetic components is not made in either case. As is evident from Eqs. (7) and (8) such a separation is inherently possible. Furthermore, the Slater determinant reference state need not be Hartree-Fock, but could be based on orbitals that incorporate correlations beyond those of the Pauli exclusion principle. This would lead to an equation similar to Eq. (12) but based on orbitals that deliver the exact density (Formula presented)
    • Since the CS empirical formula has been fit to the exact He atom correlation energy, it incorporates part of the correlation–kinetic energy, as does the LYP functional that follows from it. However, a separation into the Coulomb correlation and correlation–kinetic components is not made in either case. As is evident from Eqs. (7) and (8) such a separation is inherently possible. Furthermore, the Slater determinant reference state need not be Hartree-Fock, but could be based on orbitals that incorporate correlations beyond those of the Pauli exclusion principle. This would lead to an equation similar to Eq. (12) but based on orbitals that deliver the exact density (Formula presented)


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