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  • American Institute of Physics (AIP)  (2)
  • American Association for the Advancement of Science  (1)
  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 5197-5210 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The sum-over-states (SOS), time dependent perturbation theory expansion over molecular eigenstates method for the computation of molecular hyperpolarizabilities is briefly reviewed. A correction vector method for the computation of linear and nonlinear optical properties of π-conjugated systems has been devised for use with a singly and doubly excited configuration interaction model (SDCI). The SOS approach and the correction vector method are equivalent when the same basis set of many-electron configurations is used in both. It has been verified that the values obtained from the correction vector method and by direct summation over eigenstates are identical. The correction vector method has been found to be very efficient for larger systems, both in terms of central processing unit (CPU) time and storage requirements. The direct SOS summation has been used to study the approach to the final SDCI values as excited states are added in order of increasing energy. Using the methods described in the previous paragraph, a study of the polarizabilities and hyperpolarizabilities for frequency doubling and tripling in unsubstituted polyenes and in amino-, nitro-, donor/acceptor substituted polyenes, and 4-nitroaniline (pNA) has been made. The basis set has been restricted to singly and doubly excited configurations between π orbitals (πSDCI) which have been extracted from the ground state obtained from a complete neglect of differential overlap (CNDO) calculation. The results are found to be in good agreement with other values reported in literature. They also show that the full πSDCI hyperpolarizabilities of the polyenes are largely accounted for by the contributions of a small number of low-lying excited states, tending to justify the use of simplified models such as the two and three state models in these systems.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 102 (1995), S. 237-250 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A π-electron method which allows for the systematic inclusion of configuration interaction of any order has been developed for the computation of electronic and optical properties of conjugated molecules. It has been used to study the effect of electron correlation on these properties in all trans finite polyenes of up to 16 carbon atoms. For smaller molecules it has been possible to carry out a complete set of CI calculations, from singly excited (SCI) to full configuration interaction (FCI). For the larger molecules the SCI and doubly excited CI (SDCI) calculations have been performed. The program permits the execution of a configuration interaction calculation of any order, n, in which all configurations involving the excitation of 1,2,...,n electrons from the occupied π-orbitals of the Hartree–Fock ground-state to the virtual π-orbitals are included. The set of π-orbitals is extracted from the ground state obtained from an all valence-electron, complete neglect of differential overlap (CNDO) calculation. The configurations are represented by binary integers so that their generation and storage is very rapid and efficient. The nonlinear optical properties have been computed mainly by the correction vector method but in some cases the sum-over-states (SOS) method has also been used to study the evolution of the THG coefficient as virtual states of increasing energy are added. The results obtained for the finite polyenes are found to be in very good agreement with both experimental and other theoretical values in literature. The results clearly show the effect of electron correlation, which is found to affect the electronic and optical properties of these systems both qualitatively and quantitatively. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    Publication Date: 2020-12-09
    Electronic ISSN: 2375-2548
    Topics: Natural Sciences in General
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