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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 92 (1988), S. 7193-7204 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , 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 96 (1992), S. 8971-8979 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The representation of the two-dimensional harmonic oscillator by the unitary group SU (2) simple Coriolis-adapted vibrational basis states for the treatment of vibration–rotation interaction in polyatomic molecules. The vibrational part of the zeroth-order vibration–rotation Hamiltonian is expressed in terms of the generators (Sx,Sy,Sz) of the group SU(2), leading to a coupled angular momentum representation of the vibration–rotation Hamiltonian. In the prolate limit, this leads to an effective k-dependent zeroth-order vibrational Hamiltonian that is linear in the group generators. The problem can be solved exactly in this limit by a simple axis transformation in the vibrational "spin'' space. Because of the underlying SU(2) structure, the transformation matrix elements and overlaps of basis states of different effective Hamiltonians corresponding to different values of k are given by simple expressions involving Wigner d matrices.
    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 94 (1991), S. 3594-3606 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A coupled spin representation is introduced to describe the classical dynamics of two vibrational modes of a polyatomic molecule coupled by Coriolis interaction to overall molecular rotation. The mechanisms of Coriolis-induced periodic energy exchange between the vibrational modes, resonant vibration–rotation interaction, and chaotic energy transfer are described, and the dependence of the dynamics on rotational angular momentum, vibrational energy, total energy, and parameters in the Hamiltonian is explored using classical trajectory integrations and the surface of section method. The integrable motion occuring in the prolate limit is considered geometrically from the coupled spin representation, which provides clear insight into the dynamics of the system. In addition, this approach allows analytic results describing the effect of Coriolis coupling on vibration–rotation dynamics to be obtained.
    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 97 (1992), S. 7234-7241 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The vibrational predissociation dynamics of an Ar13 cluster containing a vibrationally excited I2 molecule in its B electronic state are studied by classical trajectory simulation. The kinetics of the loss of the first Ar atom from the cluster induced by vibrational relaxation of the diatomic exhibits unusual nonexponential behavior, characterized by an instantaneous rate that increases with time. The simulation results are modeled by a hybrid statistical model, which explicitly takes into account the slow relaxation of the impurity while assuming rapid redistribution of energy among the low frequency cluster modes. Minor deviations between the simulation and theory are observed, and indicate nonstatistical effects in the "solvent'' degrees of freedom.
    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 96 (1992), S. 1870-1885 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A qualitative method for visualizing vibration–rotation eigenstates of polyatomic molecules is described and applied to a "coupled spin'' model of Coriolis interaction of two nearly degenerate vibrations and molecular rotation. The method employs generalized coherent states of the Lie group SU(2)⊗SU(2) to define a quantum surface of section for coupled angular momentum problems. Stationary states of the vibration–rotation Hamiltonian are visualized on the rotational surface of section, and compared with the corresponding classical phase space structure. Striking classical-quantum correspondence is observed. The parallels between classical and quantum properties are investigated for several values of the total angular momentum, total number of vibrational quanta, and total energy. In addition, the evolution of classical and quantum mechanical phase space structure with variation of parameters in the Hamiltonian is studied.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 8805-8808 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Molecular dynamics investigation of a prototypical model reaction I–Arn(n=12)+I reveals the role of microscopic solvation in association reactions: (a) enhancement of capture cross section of the incident I atom; (b) mediation of the migration of I to form I2; and (c) stabilization of I2 product by evaporative cooling.
    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 93 (1990), S. 5621-5633 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: This paper examines the effect of large amplitude internal rotation on the rate and extent of intramolecular vibrational energy redistribution (IVR). We study a classical Hamiltonian modeling the vibrations of p-fluorotoluene in its first excited singlet (S1) electronic state. We find that the full many-dimensional vibrational phase space of this system can be approximately decomposed into two subsystems. The first consists of the methyl rotor and the lowest-frequency ring modes, which interest strongly and chaotically with the methyl rotor. Within this subsystem, energy is rapidly exchanged. The second subsystem consists of the remaining high-frequency modes, which do not strongly couple to the methyl rotor directly. The chaotic low-frequency ring–rotor dynamics generate an effectively random force on the remaining degrees of freedom. This intrinsically stochastic perturbation induces slower intramolecular energy diffusion and relaxation of nonequilibrium initial distributions in the higher-frequency ring modes.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 2328-2337 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We examine the classical, semiclassical, and quantum mechanics of the Hamiltonian H= 1/2 (p2x+p2y+x2y2). The dynamics of this system are globally chaotic. However, the classical and quantum mechanical problems can be solved analytically by assuming an adiabatic separation of the x and y motion. We construct the canonical transformation to adiabatic action–angle variables and investigate the connection between this integrable approximation and the exact dynamics. In addition, we present a simple semiclassical formula that predicts energy levels in excellent agreement with the exact energy spectrum. The quantum adiabatic potential curves of this system have a very unusual structure—infinitely many curves cross at one point.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 7064-7070 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In this paper, we examine classical–quantum correspondence in a system with strong vibration–rotation interaction. We study the quantum mechanics of a two degree of freedom rigid bender Hamiltonian, previously considered in the context of classical mechanics by Ezra [Chem. Phys. Lett. 127, 492 (1986)] and by Frederick and McClelland [J. Chem. Phys. 84, 4347 (1986)]. Eigenfunctions and eigenvalues of this system are calculated by matrix diagonalization in a harmonic oscillator–rigid rotor basis. The quantum mechanics are compared with the classical mechanics by visualizing the quantum eigenstates on a surface of section, defined in terms of the coherent states of the rotor and oscillator. We find clear connections between eigenstate structure on the quantum surface of section and features of the classical phase space, such as nonlinear resonance, period doubling, and chaos.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 2654-2660 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A point-continuum model for evaluating atom–cluster interaction potentials is developed and applied to the calculation of capture cross sections and thermal association rate constants for atom–cluster association in the framework of the Langevin model. The approach is illustrated by treating the initial capture step in the association reaction of an iodine atom and iodine-doped van der Waals cluster I+I(Ar)n→I2+n Ar. Two cluster sizes n=12 and 54 are considered. The cluster structures correspond to an initial icosahedral geometry of Ar atoms surrounding a central I impurity, denoted Ar6(I)Ar6, and Ar27(I)Ar27 for n=12 and 54, respectively. For I+Ar6(I)Ar6 at lower relative translational energies, Langevin capture cross sections predicted by the point-continuum model agree with classical trajectory results within statistical uncertainty. However, as the relative translational energy increases, the predicted capture cross sections start to deviate slightly from the classical trajectory values. For the larger cluster size (n=54), the predicted capture cross sections and collisional rate coefficient are in quantitative agreement with the predictions of classical trajectory simulation, illustrating the emergence of bulk-like continuum behavior as cluster size is increased.
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