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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 77 (1990), S. 29-37 
    ISSN: 1432-2234
    Keywords: Expectation value ; Hellmann ; Feynman theorem ; Coupled cluster method ; One-electron properties ; Polarizabilities
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary An analysis of a method for approximate calculations of expectation values for one-electron operators from available coupled cluster amplitudes is presented and illustrated numerically for the polarizability of the Be atom. The one-particle density matrix resulting from the present approach is accurate through the fourth order in the electron correlation perturbation. It has been found that, in order to obtain quantitative agreement between the energy derivative results and the approximate expectation value formalism, the third orderT 1 T 2∣Ф(0)〉 wave function term must be included into the calculation of the one-particle density matrix. The present method is also considered as a promising tool for calculations of higher-order atomic and molecular properties from high level correlated wave functions.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 73 (1988), S. 291-306 
    ISSN: 1432-2234
    Keywords: Coupled cluster method ; One-electron properties ; Expectation value
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The ability of various approximate coupled cluster (CC) methods to provide accurate first-order one-electron properties calculated as expectation values is theoretically analysed and computationally examined for BH and CO. For actual calculations the infinite number of terms of the expectation value expansion (〈O〉=〈φ¦exp (T +)O exp (T)¦φ〉c) was truncated so that T 1 T 2, T 3, and (1/2) T 2T2 clusters were retained on both sides of O. The role of individual clusters is carefully discussed. Inclusion of T 1, is unavoidable, but if triples are essential in the energy evaluation, they may play an even more important role in the property expansion, as shown in the case of CO. It is shown that the CC wave function, which is exact to second order, effectively satisfies the Hellmann-Feynman theorem.
    Type of Medium: Electronic Resource
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