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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 1523-1537 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The general scheme of the qualitative analysis of finite-particle quantum problems is discussed. Theoretical methods for the qualitative analysis of energy spectra in quantum problems are applied to the study of the rovibrational energy levels of spherical top molecules. The existence of modifications in the rotational cluster structure and of redistributions of the energy levels between different branches under the rotational excitation is shown for the ν2 /ν4 dyad of the 12 CH4 and 28 SiH4 molecules. An interpretation of the qualitative features of energy spectra in terms of bifurcations and formations of conical intersection points (diabolic points) on the energy surfaces of the corresponding classical problem is proposed.
    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 99 (1993), S. 906-918 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The structure of bending overtones of the H3+ and D3+ molecular ions at the energies below the barrier to linearity is analyzed using energies and wave functions from full three-dimensional discrete variable representation calculations. The lowest-in-energy states of the vibrational polyads ν2=4,5,6 are shown to follow the localization pattern of local bending modes, three equivalent-by-symmetry principal periodic trajectories of the corresponding classical two-mode system near the equilibrium.
    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 103 (1995), S. 10520-10536 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Simple analytical formulas for the number of energy levels in the vibrational polyads are given. These formulas account for the resonances between the vibrational modes, and for the symmetry of the problem, so that the number of states of a particular symmetry type can be computed. The formulas are used to estimate the differential and integral densities of states from the minimum initial information about the molecule. Examples of the vibrational structure of triatomic molecules A3, tetrahedral molecules AB4, and linear molecules AB2 are considered. The analytical formulas are compared to the ab initio results for H3+ [J. R. Henderson et al., J. Chem. Phys. 98, 7191 (1993)]. © 1995 American Institute of 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 113 (2000), S. 7885-7890 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Intra- and interpolyad structures are investigated in the vibrational energy pattern of acetylene, using the spectroscopic Hamiltonian presented in previous papers in this series [see El Idrissi et al., J. Chem. Phys. 110, 2074 (1999)]. The existence of two constants of the motion is shown to generate very regular patterns in the manifold of vibrational energy levels. Distinct regular and oscillatory contributions are evidenced in the number of vibrational levels in the main polyads, which are fully reproduced using the generating function presented in Sadovskií and Zhilinskií [J. Chem. Phys. 103, 10520 (1995)]. Further developments of this approach are outlined. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of structural chemistry 21 (1980), S. 565-569 
    ISSN: 1573-8779
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of structural chemistry 21 (1980), S. 570-573 
    ISSN: 1573-8779
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1573-8779
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Conclusion At the present time there is definite experimental material on the geometric configurations and vibrational frequencies for molecules and ions of the type X2Y3, namely: B2O3, Xe2F 3 + [29], I 5 − [30, 31], H2F 3 + [32], etc. All of them, within the limits of accuracy of the experimental data, have a planar geometric configuration YXYXY, and the angle XYX, with the exception of I 5 − , is close to 135° (137.5, 151.95, and 130–139° in the series given above), the angle YXY is close to 180° (174–178°), and the distance from a terminal atom Y to the neighboring atom X is approximately 10% shorter than the corresponding distance from the central atom Y to the neighboring atoms X. The estimated frequency of the bending vibration has comparatively low values: 70–100 cm−1 for B2O3 in a matrix, and ∼160 cm−1 for XeF 3 + in the crystal. These data indicate the existence of a class of deformationally nonrigid molecules of the type X2Y3, which must contain other molecules in addition to those listed above. The detailed study of this class of compound will make it posible to answer a number of questions which have not yet been resolved, for example those associated with the difference in the composition of the vapor over B2O3 and Al2O3, etc. The experience of the present work shows that such a study should include, as a natural and necessary component, quantum-mechanical calculations, whose results generally make it possible to resolve disputed problems, to establish a correspondence between different experimental data, and to obtain information on the structure of potential surfaces and the electronic structures of different states of the molecules being studied, which cannot yet be obtained experimentally.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of structural chemistry 24 (1983), S. 255-258 
    ISSN: 1573-8779
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and mathematical physics 15 (1973), S. 422-425 
    ISSN: 1573-9333
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and experimental chemistry 20 (1984), S. 379-387 
    ISSN: 1573-935X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Conclusions A comparison of the results obtained in a calculation of the electronic structure of UF4, performed in the NR and QR approximations of the Xα-SW method, leads to a number of conclusions as to the role of relativistic effects in the electronic structure of molecules. a) An accounting for relativistic effects leads to changes in the spatial distribution of charge in the molecules and to a consequent change in the interpretation of the bond in terms of the ratio of ionic and covalent components. b) Relativistic compression of the wave functions of the s and p electrons (primary relativistic effects) and delocalization of the d and f functions (secondary relativistic effects) lead to substantial changes in the orbital energies and the corresponding ionization potentials in heavy molecules. c) Primary and secondary relativistic effects are responsible for considerable changes in the electronic excitation energies and the EA, changes that may account to as much as 200%. d) An accounting for spin-orbit interaction effects is extremely important in interpreting photoelectron and optical spectra. In the example of UF4, it has been shown that NR wave functions are inadequate for use in calculating spin—orbit splittings in heavy molecules. Just as inadequate may be an accounting for spin—orbit interaction in first-order perturbation theory for systems of closelying MOs, the charge density of which is determined to a considerable degree by AOs of a single type (for example, 5f AOs of uranium in UF4).
    Type of Medium: Electronic Resource
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