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  • 11
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 4833-4847 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The behavior of the reaction rate of an isomerizing diatomic molecule solvated in a Lennard-Jones fluid is studied by molecular dynamics simulations. A comprehensive study of solvation effects on the rate constant, using the reactive flux absorbing boundary approximation of Straub and Berne, is presented. We provide simulation data over three orders of magnitude in solvent density for four systems differing in the mass of the solvent atoms and frequencies of the internal potential. Rate constants are also calculated for the model system using both Langevin Dynamics with exponential memory and impulsive collision dynamics of the BGK model. A simple method for calculating the average energy transfer and collision frequency is used to determine the collision efficiency for systems in which the mass of the solvent atoms is lighter than, equal to, or heavier than that of the atoms composing the isomerizing diatomic. We find that for solvents of equal and heavy mass compared to the solute the impulsive collision model provides the best description of the dynamics. Finally, we employ a method recently introduced by us to calculate the spatial dependence of the dynamic friction; we compare the reaction coordinate friction at the transition state separation with an approximation based on the single particle friction. This directly calculated reaction coordinate friction, when combined with the Grote–Hynes theory for barrier crossing, gives good agreement with the simulation data at high density.
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 4516-4525 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Diffusion Monte Carlo simulations were performed to determine the absolute binding energies of an excess electron to small clusters of xenon atoms (n≤19). It was found that clusters as small as Xe6 could bind the electron. The ground state wave function of the excess electron and the decomposition of the binding energy of the electron into kinetic and potential parts were determined for a number of small clusters. Large (n〉50) and small clusters anions were then studied at finite temperatures using path integral Monte Carlo. In all cases the excess electron in small clusters was found to exist in very diffuse state extending well beyond the radius of the cluster. However, in large clusters the electron was localized within the bulk of the cluster. Various properties are presented to characterize the electron in Xe−n as function of cluster size and the results compared to an electron solvated in fluid xenon.
    Type of Medium: Electronic Resource
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  • 13
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 14
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 87 (1987), S. 6111-6116 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A simple statistical theory for calculating the effects of nonadiabatic transitions on activated barrier crossing is presented. It is based on the model of Cline and Wolynes which combines the impulsive BGK collisional model with the Landau–Zener theory for curve crossing to calculate rate constants for barrier crossing. We derive a closed analytical expression for the rate constant for nonadiabatic transitions which requires as input only the rate constant for barrier crossing on the adiabatic surface and the parameters for the Landau–Zener theory. Our theory gives excellent agreement with the numerical results of Cline and Wolynes.
    Type of Medium: Electronic Resource
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  • 15
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 3744-3755 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In a previous paper, Martyna and Berne, J. Chem. Phys. 88, 4516 (1988), diffusion Monte Carlo simulations were performed to determine the absolute binding energies of an excess electron to small clusters of xenon atoms (n≤19) using a pair additive pseudopotential. In this approximation, the electron–xenon polarization energy is treated as pair additive and therefore ignores the induced dipole–induced dipole interactions. Here we treat the many-body polarization problem in the dipole approximation. It is found that while the smallest stable cluster anion is Xe−6 for the pair polarization model this increases to Xe−7 for the many-body polarization model. In fact, the electron binding energy corresponding to the pair-polarization model was found to be a factor of 2.7 larger than for the many-body polarization model for all the clusters studied. In accord with this very large destabilization of electron binding energy (induced by many-body polarization), the spatial extent of the electronic ground state in the many-body polarization model increases compared to that of the pair polarization model. We also compare our results for both the many-body polarization and the two-body polarization models to corresponding dielectric continuum models developed by Stampfli and Bennemann, Phys. Rev. A 71, 1674 (1988). In the many-body polarization case, the continuum model agrees well with our results. However, the agreement in the pair polarization case is rather poor for all cluster sizes. If parameters of the continuum model are adjusted to obtain agreement for small clusters sizes, the model is found to break down for large clusters sizes where the spatial extent of the electron is small enough that the microscopic details of the cluster become extremely important. A new variant of the fast Fourier transform projector method suitable for use in problems involving electron attachment to clusters is also developed. The results obtained with this new method are shown to agree with those of diffusion Monte Carlo.
    Type of Medium: Electronic Resource
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  • 16
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 2444-2446 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We evaluate corrections to the activated barrier crossing rate constant for the Kramers model at low friction γ for n strongly coupled degrees of freedom. The rate constant behaves as γ(1−const γ1/(n+1)+⋅⋅⋅) at low γ. As n increases the correction terms become increasingly important and they will substantially diminish the rate constant in a physically accessible low friction regime.
    Type of Medium: Electronic Resource
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  • 17
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 1079-1079 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 18
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 2999-3006 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We examine the dynamics of barrier crossing using a two-dimensional Langevin equation in the low friction regime. We find that as the friction on the nonreactive mode is increased there is a transition from two-dimensional Markovian dynamics to one-dimensional non-Markovian dynamics resulting in a qualitative change in the behavior of the rate constant as a function of friction. This result supports the conclusion that existing theories which predict rates for energy activation in Markovian and non-Markovian systems have limited ranges of validity and are not as general as had previously been supposed. A method is proposed which analyzes the eigenvalues of the full system and provides a criterion for the validity of the various theories. These ideas are then used to interpret the results of a recent experimental study. In the Appendix we discuss, in some detail, the role of a random force in aiding intramolecular energy transfer.
    Type of Medium: Electronic Resource
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  • 19
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 3172-3174 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We calculate the barrier crossing rate constants for a Brownian particle in a double well potential experiencing a non-Markovian friction kernel using full stochastic simulation. We compare the simulation results with recently proposed interpolation formulas which are based on the Grote–Hynes relation and energy diffusion mechanism. We find that such formulas fail in the intermediate regime by orders of magnitude. Therefore we question interpretations of dependence of isomerization rate data on the viscosity based on such ideas.
    Type of Medium: Electronic Resource
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  • 20
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 1138-1139 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A simple method is presented for determining rate constants in activated barrier crossing in a computer simulation. Instead of calculating the reactive flux, this method focuses on dynamics in the system with an absorbing barrier placed at the transition state. This method leads to a large reduction in CPU time for the low and high friction regimes.
    Type of Medium: Electronic Resource
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