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  • 1965-1969  (7)
Material
Language
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  • 1965-1969  (7)
Year
  • 1
    Online Resource
    Online Resource
    AIP Publishing ; 1967
    In:  The Journal of Chemical Physics Vol. 46, No. 5 ( 1967-03-01), p. 1717-1726
    In: The Journal of Chemical Physics, AIP Publishing, Vol. 46, No. 5 ( 1967-03-01), p. 1717-1726
    Abstract: The perturbation treatment of electron correlation is generalized to include an initial orbital approximation Ψ0 in which the orbitals are arbitrary within a unitary transformation which leaves Ψ0 unchanged. Various methods are considered for the partitioning of the total Hamiltonian into zeroth- and first-order parts consistent with a given zeroth-order Ψ0. One particular partitioning is discussed in detail which leads to simple and physically significant expressions for the second- and third-order energies, and for which the second-order energy gives a good estimate of the correlation energy when the orbitals are well localized and when no near-degeneracies are present. A calculation of the angular correlation in the ground state of the beryllium atom serves to investigate the validity of a number of concepts.
    Type of Medium: Online Resource
    ISSN: 0021-9606 , 1089-7690
    Language: English
    Publisher: AIP Publishing
    Publication Date: 1967
    detail.hit.zdb_id: 3113-6
    detail.hit.zdb_id: 1473050-9
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  • 2
    Online Resource
    Online Resource
    AIP Publishing ; 1966
    In:  The Journal of Chemical Physics Vol. 45, No. 1 ( 1966-07-01), p. 328-337
    In: The Journal of Chemical Physics, AIP Publishing, Vol. 45, No. 1 ( 1966-07-01), p. 328-337
    Abstract: The conditions under which a correlated wavefunction for an atomic system can be an eigenfunction of angular momentum are investigated. It is shown how symmetry-adapted pair-correlated wavefunctions may be set up in which the pair functions satisfy the condition of strong orthogonality to the orbitals in the initial orbital approximation, and in terms of which the variational equivalent of the first-order perturbation equation reduces to a set of uncoupled two-body equations, one for each pair. The approach is illustrated by application to the lowest 3P, 1D, and 1S states of carbon and to the ground state of neon, the latter case being of particular interest as it shows how the separation of the orbitals into unique pairs is unsatisfactory when the orbital approximation contains a number of equivalent orbitals.
    Type of Medium: Online Resource
    ISSN: 0021-9606 , 1089-7690
    Language: English
    Publisher: AIP Publishing
    Publication Date: 1966
    detail.hit.zdb_id: 3113-6
    detail.hit.zdb_id: 1473050-9
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  • 3
    Online Resource
    Online Resource
    Informa UK Limited ; 1968
    In:  Mycologia Vol. 60, No. 5 ( 1968-09), p. 1130-
    In: Mycologia, Informa UK Limited, Vol. 60, No. 5 ( 1968-09), p. 1130-
    Type of Medium: Online Resource
    ISSN: 0027-5514
    Language: Unknown
    Publisher: Informa UK Limited
    Publication Date: 1968
    detail.hit.zdb_id: 2076341-4
    SSG: 12
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  • 4
    Online Resource
    Online Resource
    Informa UK Limited ; 1968
    In:  Molecular Physics Vol. 15, No. 5 ( 1968-01), p. 459-468
    In: Molecular Physics, Informa UK Limited, Vol. 15, No. 5 ( 1968-01), p. 459-468
    Type of Medium: Online Resource
    ISSN: 0026-8976 , 1362-3028
    Language: English
    Publisher: Informa UK Limited
    Publication Date: 1968
    detail.hit.zdb_id: 1491083-4
    SSG: 12
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  • 5
    Online Resource
    Online Resource
    JSTOR ; 1968
    In:  Bulletin of the Torrey Botanical Club Vol. 95, No. 2 ( 1968-03), p. 140-
    In: Bulletin of the Torrey Botanical Club, JSTOR, Vol. 95, No. 2 ( 1968-03), p. 140-
    Type of Medium: Online Resource
    ISSN: 0040-9618
    Language: Unknown
    Publisher: JSTOR
    Publication Date: 1968
    detail.hit.zdb_id: 2052357-9
    SSG: 12
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  • 6
    Online Resource
    Online Resource
    AIP Publishing ; 1966
    In:  The Journal of Chemical Physics Vol. 44, No. 10 ( 1966-05-15), p. 3934-3940
    In: The Journal of Chemical Physics, AIP Publishing, Vol. 44, No. 10 ( 1966-05-15), p. 3934-3940
    Abstract: The behavior of the electronic energy for the ground state of a one-electron heteronuclear diatomic molecule in the vicinity of the united atom is obtained through terms of order R5 in the internuclear distance R. The presence of a term in R5logR reveals that the electronic energy is not an analytic function of R at the united atom. The expansion is checked by means of the Hellmann—Feynman theorem and the work of Dalgarno and Lynn.
    Type of Medium: Online Resource
    ISSN: 0021-9606 , 1089-7690
    Language: English
    Publisher: AIP Publishing
    Publication Date: 1966
    detail.hit.zdb_id: 3113-6
    detail.hit.zdb_id: 1473050-9
    Location Call Number Limitation Availability
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  • 7
    Online Resource
    Online Resource
    AIP Publishing ; 1967
    In:  The Journal of Chemical Physics Vol. 46, No. 5 ( 1967-03-01), p. 1727-1735
    In: The Journal of Chemical Physics, AIP Publishing, Vol. 46, No. 5 ( 1967-03-01), p. 1727-1735
    Abstract: The perturbation—variation treatment of electron correlation is generalized to include a many-configuration initial approximation Ψ0 which is a linear combination of all those configurations consistent with a chosen basis set of orbitals. Such a generalization enables all configurations that make a large contribution to the wavefunction to be included in Ψ0, so that the problem of degeneracies and near-degeneracies is removed, and the correction to Ψ0, being essentially small, may then be determined by first-order perturbation theory. The initial approximation may be determined using configuration-interaction methods, which gives upper bounds to a number of states. Excited states may be treated as easily as, and together with, the ground state. It is shown that when Ψ0 is the optimum combination of configurations consistent with a chosen orbital basis, for any state, then it is invariant under a unitary transformation of the orbitals of the basis. This allows a transformation to orbitals which optimize the contribution of the first-order wavefunction.
    Type of Medium: Online Resource
    ISSN: 0021-9606 , 1089-7690
    Language: English
    Publisher: AIP Publishing
    Publication Date: 1967
    detail.hit.zdb_id: 3113-6
    detail.hit.zdb_id: 1473050-9
    Location Call Number Limitation Availability
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