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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 102 (1995), S. 371-383 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Various procedures for designing basis sets to be used in the computation of high-quality wave functions have been considered. The most satisfactory results for the polarizability and hyperpolarizabilities of He, H2, Be, Ne, F−, and HF were obtained using the core basis sets of van Duijneveldt, augmented by 7f1(l+1)5f2(l+2), where f1 and f2 are polarization Gaussian-type functions which are energy optimized and l defines the symmetry of the highest occupied subshell of the atom. Subsequently, simple rules, like replacing the 2s and 2f functions having the largest exponents with an equal number of orbitals of the same symmetry, the exponents of which form a geometric or even-tempered sequence with the two most diffuse exponents, have been used. Correlation effects are taken into account using fourth-order Møller–Plesset perturbation theory. © 1995 American Institute of Physics.
    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 109 (1998), S. 6828-6838 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Macroscopic first-, second-, and third-order susceptibilities of the urea crystal are calculated using static and frequency-dependent ab initio molecular (hyper)polarizabilities at the self-consistent field (SCF) and second-order-Møller–Plesset (MP2) levels. Environmental effects are taken into account using a rigorous local-field theory and are compared with the anisotropic Lorentz field factor approximation. The electric field arising from the permanent dipoles of the surrounding molecules is explicitly taken into account using a self-consistent approach. The dipole moment and the first hyperpolarizability are particularly strongly dependent on this field, but the crystal structure leads to a fortuitous cancellation of the field effect on the second-order susceptibility. The experimental linear susceptibility is accurately reproduced, while differences remain for the quadratic susceptibility. Dispersion curves for the first-order susceptibility, and results for quadratic electrooptic effect (QEO), electric-field-induced second-harmonic generation (EFISH), and third-harmonic generation (THG) experiments are predicted. The (hyper)polarizabilities of a linear dimer of urea molecules are calculated and used to estimate the effect of hydrogen bonding on the susceptibilities, which proves to be small. Semiempirically calculated (hyper)polarizabilities methods yield unreliable results for the susceptibilities compared with those from the ab initio method. This deficiency can be overcome by recourse to additional experimental data. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1432-2234
    Keywords: Key words: Polarizabilities ; Hyperpolarizabilities ; Nonlinear optical materials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract. The structure-polarization relationship has been investigated in a series of polyenes. Various conjugation patterns have been studied and their effect on the␣polarizabilities and hyperpolarizabilities has been commented upon. Two classes of conjugated oligomers have been shown to have very large second hyperpolarizabilities. It is shown that the known potential of the conjugated chains to lead to large nonlinearities is enhanced by substituting one or more hydrogen atoms with lithium. This interesting and useful point is documented by calculating the hyperpolarizabilities of several selected organolithium derivatives presenting a variety of molecular structures. The largest computed nonlinearity is γ = 4 × 107 a.u., which is an exceptionally large value. The present computations have been performed using the semi-empirical approaches MNDO, PM3 and MNDO/d. This choice of well-tested semi-empirical models, in connection with the available literature values (theoretical and experimental), supports the validity of the reported findings.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1432-2234
    Keywords: Key words: Susceptibilities ; Benzene crystal ; Polarizabilities ; Hyperpolarizabilities
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract. Starting from a set of high-level ab initio frequency-dependent molecular first- and third-order polarizabilities, the macroscopic first-order (linear) and third-order (cubic) susceptibilities of the benzene crystal are calculated. Environmental effects are taken into account using a rigorous local-field theory and are compared with the anisotropic Lorentz field factor approach. The experimentally determined first-order susceptibility of crystalline benzene is accurately reproduced. Dispersion curves for the first-order susceptibility and results for electric-field-induced second-harmonic generation and third-harmonic generation experiments are predicted. Comparison with similar calculations conducted in the course of molecular simulations of liquid benzene shows that the theoretical results for the two phases are of comparable accuracy. Overall, the results show that for the fairly compact nonpolar benzene molecules, environmental effects on the effective molecular response are small.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 19 (1998), S. 1698-1715 
    ISSN: 0192-8651
    Keywords: MNDO ; MNDO/d ; polarizabilities ; hyperpolarizabilities ; H2Sn ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: The structure-polarization relationship was investigated in a series of polysulfanes, H2Sn. The reported results demonstrate that the forms of change of the polarizability components, αii, and the second hyperpolarizability components, γiiii, as well as the average values α and γ, respectively, of H2Sn with n are similar. This shows that polarizability components can be easily used to determine corresponding hyperpolarizability data. A remarkable change of the hyperpolarizabilities with the molecular geometry of H2Sn was found. This result can be used for the design of nonlinear optical materials with optimum properties. The present study uses the flexible σ bonded H2Sn and is complementary to the works that considered the effect of conformational changes of π-conjugated systems on their hyperpolarizabities. The present computations were performed using the semiempirical approaches MNDO and MNDO/d, as well as ab initio methods with STO-3G, extended with polarization and diffuse functions, and [3s2p/7s5p2d] sets for H2Sn. At the ab initio level, the electronic and the vibrational contributions to polarizabilities and hyperpolarizabilities were both computed for several members of H2Sn. The frequency dependence of the above contributions and the static limit were discussed. Electron correlation was taken into account for several test cases using MP2 theory. The selected methods and the variety of the approximations on which they rely allow the systematic consideration of the effect of changes of the geometry of H2Sn on their polarizabilities and second hyperpolarizabilities.   © 1998 John Wiley & Sons, Inc.   J Comput Chem 19: 1698-1715, 1998
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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