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  • Biorthogonal representation  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 83 (1992), S. 339-350 
    ISSN: 1432-2234
    Keywords: Valence bond theory ; Biorthogonal representation ; Orbital optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary A valence bond approach based on nonorthogonal orbitals in a biorthogonal representation is presented. While the scheme suffers from the lack of a variational bound on the energy functional, it is shown that with a suitable optimization of the orbitals reliable molecular wavefunctions can be obtained. A review of the background theory is given emphasizing the similarity of this approach to the familiar spin-free unitary group formulation of quantum chemistry. The details of the computer implementation are discussed and the method is illustrated with model calculations on HF, H2O and F2O2.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 85 (1993), S. 395-404 
    ISSN: 1432-2234
    Keywords: Valence bond theory ; Biorthogonal representation ; Dynamic correlation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary The use of biorthogonal valence bond reference functions in evaluating the correlation energy is investigated. Since the method is not variationally bound some care must be taken in defining the reference state to ensure that the variational bound is not violated, some discussion is given to this matter. The procedure adopted here is a matrix element driven configuration interaction scheme. To reduce the computational labour involved, a configuration selection criterion is introduced. The method is tested through its application to the symmetric stretching of HF, H2O, (2 B 1) NH2 and the singlet-triplet gap in CH2. Comparison is made with other methods, including full CI. The results show that the current method is quite promising.
    Type of Medium: Electronic Resource
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