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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 103 (1995), S. 4175-4191 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Various size-consistent approaches to the calculation of molecular hyperpolarizabilities are analyzed based on the double perturbation theory. General equations for the nth-order response property with respect to an external time-independent field are derived on the basis of the Rayleigh–Schrödinger perturbation theory (RSPT) and the coupled-cluster (CC) theory. The corresponding equations for the time-dependent case are also derived by the CC formalism, which is referred to as the time-dependent CC (TDCC) method. In order to clarify the spatial characteristics of polarizability and hyperpolarizability, we present an analysis method using a new concept "the polarizability and hyperpolarizability densities.'' As an application of the size-consistent methods, the static second hyperpolarizabilities (γ) of π-conjugated polymeric systems are calculated by the use of the uncoupled (UCHF), and coupled-Hartree–Fock (CHF) methods combined with the semiempirical INDO approximation. Characteristics of γ values calculated for regular polyenes, solitonlike polyenes and donor(D)–acceptor(A) disubstituted polyenes are investigated, particularly in relation to the chain-length effect. Further, we employ γ density analysis method, in which the third derivatives of the Mulliken charge densities against applied electric fields are plotted for exploring the local contributions of the constituent atoms to γ values. Results for the finite polyenes are also extrapolated to an infinity of the chain length to predict the intrinsic γ values per unit carbon–carbon (CC) bond of polymeric chains. Furthermore, the CHF+Møller–Plesset second-order perturbation (MP2) method in the PPP approximation is applied to polymeric systems with larger chain length in order to elucidate the electron correlation effects on the chain-length dependencies of γ values. © 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 112 (2000), S. 2769-2780 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We perform numerically exact calculations of quantum dynamics for a two-state molecular model system interacting with initially single-mode strongly amplitude- and strongly phase-squeezed fields (average photon number 〈n(circumflex)〉=8). The second-order correlation function for these fields are taken to be 2, which is equivalent to that for the chaotic field with the identical average photon number. Although the responses of the molecule for these two squeezed fields are relatively similar to those for the chaotic field as shown in a previous paper, there are found to be some significant differences among these fields in the dynamical behavior of quantum-phase distributions of photons, i.e., the Pegg–Barnett phase and the Q function distributions. These differences are also elucidated by the dynamics of the information entropy for the molecule, i.e., molecular entropy, which represents the degree of entanglement between the molecule and the photon field. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 99 (1995), S. 13600-13605 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 115 (2001), S. 6780-6784 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: As an extension of our previous study on polarizabilities [J. Chem. Phys. 115, 1052 (2001)], we investigate the molecular third-order nonlinear optical properties, i.e., the second hyperpolarizabilities (γ), of three types of model oligomers (made of phenylene vinylenes), i.e., para-oligomers and meta-oligomers with fractal and nonfractal structures, which are considered to be models of dendron parts involved in Cayley-tree-type dendrimers. Similarly to the polarizability case, the chain-length dependence of γ of para-oligomers is found to be much larger than that of nonfractal meta-oligomers, while fractal meta-oligomers exhibit an intermediate chain-length dependency of γ between them. The spatial contributions of π-electrons to γ of these systems are elucidated using hyperpolarizability density analysis. It is found that the spatial contributions of π-electrons to γ of nonfractal meta-oligomers are much smaller than those of para-oligomers and are well decoupled at the meta-substituted benzene rings, while the fractal meta-oligomers show significantly large spatial contributions of π-electrons to γ in their linear-leg (para-substituted phenylene vinylene) regions similarly to the case of para-oligomers although the distributions are also well decoupled at the meta-substituted benzene rings. This feature supports the distinct features of chain-length dependency of γ for these oligomers. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 115 (2001), S. 1052-1059 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We investigate the size-dependency of static polarizabilities (α) (in the chain-length direction) of three types of model oligomers (made of phenylene vinylenes), i.e., para-oligomers and meta-oligomers with fractal and nonfractal structures by the finite-field method using molecular orbital calculations. The fractal-structured meta-oligomers are considered to be models of dendron parts involved in Cayley-tree-type dendrimers. The chain-length dependence of α of para-oligomers is found to be much larger than that of nonfractal-structured meta-oligomers, while the fractal-structured meta-oligomers exhibit an attractive chain-length dependence of α; the α values of meta-structured oligomers are near to those of nonfractal-structured meta-oligomers in small chain-length region, while they are close to those of para-oligomers in sufficiently large chain-length region. Using the polarizability density analysis, the spatial contributions of π-electrons to α of nonfractal-structured meta-oligomers are found to be smaller than those of para-oligomers and to be well decoupled at the meta-substituted benzene rings. In contrast, it is found that the spatial contributions of π-electrons to α in linear-leg regions for fractal-structured meta-oligomers are similar to those for the para-oligomers though the α density distributions for fractal-structured meta-oligomers are also well decoupled at the meta-substituted benzene rings. Such features, which reflect the fractal structure, is predicted to cause the attractive size-dependency of α for fractal-structured meta-oligomers. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 6
    ISSN: 1349-9432
    Keywords: third-order nonlinear optical response ; second hyperpolarizability ; open-shell systems ; iso-electronic systems ; charged radical
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the second hyperpolarizabilities (ɣ) for anion, neutral and cation radicals and find that magnitudes of ɣ (| ɣ |) of the radicals are sensitively influenced by features of each charged state. It is also found that electron-correlation dependence of ɣ could be related to the resonance structure contributing to the ground state of the molecules.
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1349-9432
    Keywords: quantum phase dynamics ; magnetic quantum tunnelling ; collapse and rivival ; phase properties ; Jaynes-Cummings model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We investigate the dynamics of probability distributions of an initially one-mode coherent field interacting with a four-state molecular system, which is a single magnet with a tunneling across an anisotropic barrier, using a numerically exact approach. The population for each state, the phase properties of and $$\langle{\rm cos}^2 \hat{\varphi}\rangle$$ , and $$\triangle {\rm cos}^2 \varphi(\equiv \langle {\rm cos}^2 \hat{\varphi}\rangle-{\langle {\rm cos} \hat{\varphi}\rangle}^2$$ ), the entropy are calculated for a model system. The model predicts that the molecule and field become asymptotically disentangled at half of the revival time, and that optical Schrödinger-cat and magnetic Schrödinger-cat states are generated.
    Type of Medium: Electronic Resource
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  • 8
    ISSN: 1349-9432
    Keywords: second hyperpolarizability ; trithiapentalene ; nonlinear optics ; density functional method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the third-order optical nonlinearity for some interesting ϖ-conjugated systems involving sulfur (S) atoms. The static second hyperpolarizabilities (γ) for l, 6, 6a-trithiapentalene and its donor-and acceptor-disubstituted species are calculated by ab initio molecular orbital and density functional methods. Using the second hyperpolarizability density analysis, these molecules are found to exhibit remarkable differences in spatial ϖ-electron contributions of unusual binding structure, i.e., S-S-S bridged structure, to the longitudinal γ.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 128 (1988), S. 119-132 
    ISSN: 1420-9136
    Keywords: Rayleigh ; scattering ; wedge corner ; reflection ; transmission
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Theoretical calculations were performed on reflected and transmitted Rayleigh waves and scattered body waves, in the case where a two-dimensional Rayleigh wave is incident to a wedge-shaped medium having a wedge angle between 250° and 290° and arbitrary value of Poisson ratio. The reflection and transmission coefficients of Rayleigh waves were also experimentally measured in cases of wedges with 190° to 330° wedge angles. The method of theoretical analysis and the techniques of experiment are based on those developed in our preceding research (W-1. W-2 and W-3). Compared with the results where the wedge angle is smaller than 180° (W-1 and W-2), all features show consistent variation with wedge angle.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 65 (1997), S. 697-707 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Explicit expressions of polarizability and hyperpolarizability are formulated by a path integral method in terms of the generalized coherent states of the Thouless parametrization. A novel scheme is shown for calculating the molecular properties including total energy, and the Monte Carlo method using the metropolis algorithm is utilized for performing the actual calculations. As a simple example, the hydrogen molecule is examined to demonstrate performances of the present scheme. We discuss improvement of the accuracy of the (hyper)polarizabilities depending on the number of the division for the partition function and also the behaviors of the (hyper)polarizability for the external magnetic field. We compare the present results with those obtained by the conventional molecular orbital theory.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 697-707, 1997
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
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