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  • 1
    Unknown
    Berlin, Heidelberg : Springer
    Keywords: Chemistry ; Chemistry, Physical organic ; Materials ; Plasma (Ionized gases)
    ISBN: 9783540344605
    Language: English
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 95 (1991), S. 8082-8086 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , 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〉 92 (1988), S. 3236-3240 
    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 97 (1992), S. 8173-8180 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We describe the propagation in time of quantal molecular states for electronically diabatic phenomena involving the coupling of two or more electronic states. We first show how the time propagation of a wave packet can be broken up into several stages corresponding to regions through which the wave packet moves with or without electronic couplings. This is done with a generalization of the interaction picture procedure recently shown to be quite efficient for numerical work. We next consider the propagation of total molecular states in regions with couplings by using sequences of transformations between adiabatic and diabatic electronic representations for a finite number of coupled electronic states. This requires the introduction of a general and efficient way of transforming between the two representations, that is the main concern of this contribution. The transformation is constructed using Lie-algebraic methods; it leads to simple expressions suitable for computations, and contains as a special case the coupling of two electronic states. The propagation in time through the electronically diabatic region is described using a split-operator propagator procedure suitable for electronically diabatic phenomena. We concentrate on only one molecular variable, which could be a bond distance or a bond angle, to focus on the construction of the adiabatic–diabatic transformation.
    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 97 (1992), S. 1038-1052 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A detailed theoretical and computational study of electronic transitions has been done in the short-wavelength (or eikonal) limit for the nuclear motions. Equations for nuclear trajectories in effective potentials are simultaneously solved with equations for electronic transition amplitudes. The treatment is done in adiabatic and diabatic electronic representations, and is applied to three model potentials: noncrossing, crossing in the repulsive region, and crossing in the attractive region. Results from the eikonal approach are compared with exact coupled-channel probabilities. It is found that a procedure based on the the diabatic representation and an average effective potential provides accurate results over wide ranges of collision energies, and is computationally efficient.
    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 96 (1992), S. 7683-7695 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The geometrical structures of M+(Ar)n ions, with n=1–14, have been studied by the minimization of a many-body potential surface with a simulated annealing procedure. The minimization method is justified for finite systems through the use of an information theory approach. It is carried out for eight potential-energy surfaces constructed with two- and three-body terms parametrized from experimental data and ab initio results. The potentials should be representative of clusters of argon atoms with first-row transition-metal monocations of varying size. The calculated geometries for M+=Co+ and V+ possess radial shells with small (ca. 4–8) first-shell coordination number. The inclusion of an ion-induced-dipole–ion-induced-dipole interaction between argon atoms raises the energy and generally lowers the symmetry of the cluster by promoting incomplete shell closure. Rotational constants as well as electric dipole and quadrupole moments are quoted for the Co+(Ar)n and V+(Ar)n predicted structures.
    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 95 (1991), S. 380-390 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Photodissociation cross sections have been calculated using a collisional time-correlation function (TCF) approach to light–molecule interactions. The method is based on separating the total TCF into the molecular dipole TCF of the target and the electric-field TCF of the light source. A norm-conserving time-dependent self-consistent-field approximation is implemented for the molecular dipole TCF of the target, which factors into a primary-region TCF, a secondary-region TCF, and a time-dependent phase factor. We present an application to the photodissociation of CH3I from vibrationally excited initial states with up to three quanta in the C–I and CH3 umbrella modes. The dynamics of energy transfer between the primary and the secondary region and its effect on the line shape functions for each initial vibrational state are systematically studied. The evolution of the primary- and secondary-region amplitudes is considered first for the initially excited (1,0) and (0,1) states of CH3I and shows the contrast between the fast oscillations of the primary-region amplitude and the slow oscillations of the secondary-region amplitude. A detailed study of the photodissociation dynamics of CH3I from the other vibrationally excited initial states is presented next. We fixed the number of vibrational quanta in the secondary-region dynamics, and studied the effect of increasing the vibrational excitation energy in the primary-region dynamics. Some of the vibrational energy given to the primary-region dynamics is transferred to the secondary-region dynamics. The reverse situation, vibrational energy transfer from the secondary to the primary region, is also obtained by fixing the vibrational quantum states in the primary-region dynamics and varying the excitation energy in the secondary region.
    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 95 (1991), S. 3607-3613 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We develop a variational method for constructing the effective Hamiltonian that best propagates the state of a system, based on the minimization of a temporal error functional. As an illustrative example the procedure is used to derive the effective Hamiltonian in the time-dependent self-consistent-field method. The present variational approach is particularly useful to build the best effective Hamiltonian that is a linear combination of the generators of a Lie algebra. We explicitly consider systems having classical analogs with many degrees of freedom and calculate transition probabilities for a simple semiclassical model of the collinear collision between an atom and a diatomic molecule. We show that our variational approach is more general and accurate than the widely used local harmonic approximation.
    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 94 (1991), S. 3537-3541 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A method for solving the time-dependent Schrödinger equation in an intermediate picture defined by an effective time-dependent Hamiltonian is discussed. The state function in this intermediate picture is written as a linear combination of time-independent basis functions with time-dependent coefficients. It is shown how to use Lie algebraic methods to build the interaction potential in the intermediate picture and calculate physical observables. The construction of the interaction potential is explicitly discussed in the case of one degree of freedom with a classical coordinate analog. The effective Hamiltonian is obtained by expanding the potential energy function around a reference value of the coordinate. Effective Hamiltonians for He–H2 collisions obtained for equilibrium and average reference values of the vibrational coordinate of H2 are compared and the expansion convergence in the resulting intermediate pictures are discussed.
    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 94 (1991), S. 4900-4912 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A general time-dependent quantum mechanical approach to the interaction of visible and UV light with extended polyatomic systems is presented. It is treated as a two-step process: a photon absorption excites electronic transitions in the target system, and this is followed by a dynamical evolution of the system on the excited potential energy surface. The time evolution in a large polyatomic system is treated within a molecular time-correlation function (TCF) approach. For a general two-surface electronic excitation problem, an extension of these molecular TCFs from real to complex times is introduced to facilitate their computation. Time-dependent self-consistent field (TDSCF) equations for transition amplitudes are derived from a variational approach and are used for large polyatomic systems to factor the molecular TCFs into primary and secondary region TCFs. The primary and secondary regions are modeled by considering a general primary motion coupled to many harmonic degrees of freedom in the secondary region. In the strong coupling case, the Hamiltonian has a general dependence on the variables of the primary region, whereas it has linear and bilinear terms in the variables of the secondary region. A weak coupling limit is obtained by dropping the bilinear terms in the coupling. The complex time propagators for the secondary region dynamics are constructed analytically for both cases. The present treatment provides a quantal version of the generalized Langevin equations of molecular dynamics. It allows for the derivation of a fluctuation–dissipation theorem similar to the classical one, by introducing a displaced Boltzmann distribution and identifying dissipation and fluctuation forces within the TDSCF approximation.
    Type of Medium: Electronic Resource
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