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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 5873-5881 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Frequency-dependent polarizability α and second hyperpolarizability γ corresponding to various third-order nonlinear optical processes have been calculated by ab initio time-dependent coupled-perturbed Hartree–Fock method. The selection of proper diffuse functions in the basis set is made from a comparison of the calculated values of a(ω) at two optical wavelengths (λ=589 and 632.3 nm) and that of γ (−2ω; 0, ω, ω) at λ=1064 nm with the reported experimental values at these wavelengths. It is found that a 4-31G basis with a diffuse p and a diffuse d function, in addition to properly describing various elements, yields the values of α and γ which are, respectively, within 7% and 5% of the corresponding experimental results. The in-plane components of α show a larger frequency dispersion compared to the out-of-plane component. The calculated values of γ for the electric field-induced second harmonic generation (EFISH) at five optical wavelengths are within 5%–14% of the reported experimental results. However, a somewhat larger discrepancy between the calculated and measured values of γ for third harmonic generation (THG) and γ for degenerate four wave mixing (DFWM) is found. The order of the γ values for various third-order processes is γ(THG) 〉γ(EFISH) 〉γ(DFWM) 〉γ(EFIKE) ≈γ(EFIOR), where EFIKE and EFIOR, respectively, represent electric field-induced Kerr effect and electric field-induced optical rectification. The elements of γ show deviation from the Kleinman symmetry even at lower optical frequencies.
    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 94 (1991), S. 1171-1181 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: For p-nitroaniline the ab initio method with a double-zeta basis set which includes semidiffuse polarization functions has been used to calculate the dipole moment μ, frequency-dependent linear polarizability α, and nonlinear hyperpolarizabilities β and γ using the time-dependent coupled perturbed Hartree–Fock approach. The computation procedure used here yields information on the dispersion behavior of all the tensor components of polarizability and various hyperpolarizability terms. The largest dispersion effect is observed for the diagonal components of the polarizability and hyperpolarizability tensors along the long in-plane axis. The magnitudes of the various hyperpolarizability terms which describe the various second-order nonlinear processes show the following trend: β(−2ω;ω,ω) (approximately-greater-than)β(0;ω,−ω)=β(−ω;0,ω) (approximately-greater-than)β(0;0,0), with β(−2ω;ω,ω) exhibiting the largest frequency dispersion. The various second hyperpolarizability terms which describe the various third-order nonlinear optical processes show the following trend: γ(−3ω;ω,ω,ω) (approximately-greater-than)γ(−2ω;0,ω,ω) (approximately-greater-than)γ(−ω;ω,−ω,ω) (approximately-greater-than)γ(−ω;0,0,ω) ≈ γ(0;0,ω,−ω) (approximately-greater-than)γ(0;0,0,0). Again γ(−3ω;ω,ω,ω) shows the largest dispersion effect.The results of existing semiempirical calculations on p-nitroaniline are compared with that of the present ab initio calculation, and the problem due to the arbitrary parametrization procedure adopted in the past for semiempirical calculation is discussed. The computed values of the first resonance energy, the dipole moment, and the polarizability are in good agreement with the respective values experimentally observed, within the spread of the existing experimental data. In contrast, the computed β and γ values are considerably smaller than the respective experimentally determined values. We attribute this discrepancy to two sources. First, in the theoretical calculation electron correlation has been neglected, and the basis set used, although large, may not still be adequate. Second, there is a considerable spread in the reported experimental values for a given nonlinear coefficient making any comparison between the theory and the experiment difficult.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 7418-7425 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In this paper, we present ab initio calculations of static polarizability α and static first and second hyperpolarizabilities β and γ for the haloform series CHX3, where X=F, Cl, Br, and I using the effective core potential (ECP) approach. The microscopic optical nonlinearities α, β, and γ are calculated as the derivatives of the energy with respect to the electric field, with the energy determined by means of the self-consistent-field approach (SCF), and nonlinearities calculated by means of the coupled perturbed Hartree–Fock (CPHF) formalism. To test the approximation introduced by the ECP method, nonlinear optical responses for the lighter members of the series CHF3 and CHCl3 are compared with all electron calculations. The effects due to basis set size and inclusion of diffuse and polarization functions of d and f type are examined. The ECP technique is then used to calculate optical nonlinearities for CHBr3 and CHI3. Although very good agreement is found between calculated and experimental polarizabilities α for the haloform series, the agreement is not as good for the higher order polarizabilities. Possible causes for this discrepancy are discussed.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We report in this paper experimental and theoretical studies of the nonlinear optical properties of a new class of compounds which differ from traditional second-order molecules in the sense that a commonly used electron donor chromophore is replaced by a thiophene ring. The molecular second-order nonlinear optical coefficients, β, as determined by the electric field-induced second-harmonic generation technique, for 2-nitro-1-(2-thienyl)ethene and 4-nitro-1-(2-thienyl)-1,3-butadiene are, respectively, 1 and 3 times that of para-nitroaniline. Ab initio time-dependent coupled perturbed Hartree–Fock results are in agreement with the experimental findings. A Mulliken population analysis indicates that the sulfur atom in the thiophene ring acts as an electron donor. Both the experimental and the theoretical results confirm that a thiophene ring acts as an efficient donor, giving rise to highly efficient second-order nonlinear optical properties. We also show that with this type of chromophore one can use a thiophene oligomer, in place of a thiophene monomer, to amplify the nonlinearity.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 96 (1992), S. 5206-5208 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 99 (1995), S. 9045-9050 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 104 (1996), S. 6590-6605 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A self-consistent time-dependent unrestricted Hartree–Fock (TDUHF) theory of linear and nonlinear optical properties is presented. Expressions are derived to calculate the elements of the linear polarizability tensor α, the first-hyperpolarizability tensor β, and the second-hyperpolarizability tensor γ, in terms of spin-adapted perturbed density matrices. For the hyperpolarizability tensors, β and γ, expressions are also derived from the lower-order solutions to the TDUHF equations. A novel feature of the present formulation is that it automatically allows for the separation of the contributions to (hyper)polarizability tensors from individual spin. Results obtained from the calculations of α(ωσ;αa) for H, C, N, O, F, Si, P, S, Cl, O2, NO, and OH and of β(−ωσ;ωa,ωb) corresponding to various second-order nonlinear optical processes for NO and OH radicals are presented. The present results for α show excellent agreement with the literature data. The calculated result for β(parallel) in the case of the NO radical is too small and has a different sign in comparison to the published experimental data. For both NO and OH, the β tensor for different second-order nonlinear optical processes show the order: β(−2ω;ω,ω)(approximately-greater-than)β(−ω;0,ω) ≡β(0;ω,−ω)(approximately-greater-than)β(0;0,0). © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 97 (1993), S. 3525-3529 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 9
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 95 (1991), S. 4329-4332 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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