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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 4985-4993 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The rotationally inelastic diffraction probabilities for H2, HD, and D2 from Cu(100) were computed as a function of surface temperature. The surface is treated in a quantum mechanical fashion using a recently developed formalism. The center of mass molecular translational motion is treated semiclassically, using Gaussian wave packets (GWPs), and the rotations are described quantum mechanically. Strong attenuation of the phonon elastic diffraction peaks with temperature is observed. This Debye–Waller-like attenuation increases with increasing molecular mass and kinetic energy, and decreases as the peaks become more off-specular. The phonon summed rotation–diffraction probabilities show a moderate temperature dependence for the most part. The 0→2 rotational excitation of D2 appears to be strongly phonon assisted above 300 K. At low temperatures our method reproduces the selection rules predicted by previous studies. As the temperature is increased these selection rules become less restrictive. The probability distribution for a scattering molecule exchanging an amount of energy ΔE with the surface was also computed. Rayleigh phonons were found to dominate the energy transfer, with bulk vibrations becoming more important for larger molecular masses, beam energies, and surface temperatures.
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 1383-1393 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A fully quantum mechanical theory for phonon inelastic gas–surface scattering is presented. Both surface and bulk phonons are coupled to the molecule via perturbation theory. The reduced density matrix of the molecule is written in terms of three wave-function-like objects, which obey Schrodinger-like equations of motion. These highly coupled equations of motion are evolved simultaneously in time, using standard techniques. The method can be applied to any of several recent quantum and semiclassical time dependent scattering theories, and allows one to compute the thermally averaged properties of the system at all times. The total computational effort is only about three times that of the zero temperature calculation. Results are presented for the inelastic scattering of He and Ne beams from Cu(111), Cu(100), and Ni(111).
    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. 787-800 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A semiclassical model is derived for the scattering of an atom from a metal surface. The surface and bulk vibrations are treated quantum mechanically, and the translational motion of the gas particle is represented by a Gaussian wave packet. Equations of motion are derived for the average position and momentum of this wave packet in terms of the parameters which describe the gas–surface and gas–phonon interaction potentials. Multiphonon interactions are included to all orders, and the motion of the gas particle parallel to the surface is coupled to the lattice vibrations. Probabilities for energy transfer and trapping are computed. The way in which the normal and parallel (to the surface) components of the beam energy are mixed by the corrugation and the thermal fluctuations is examined. The effect this has on the variation of the trapping probability with beam energy and angle of incidence is discussed.
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 87 (1987), S. 5497-5503 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A two-dimensional quantum mechanical model is used to study the dissociative adsorption of H2 and its heavier isotopes on Ni(100). Dissociation probabilities are computed as a function of molecular kinetic energy for H2 , D2 , T2 , and a hypothetical heavier isotope. It is demonstrated how the variation of the zero point energy with mass strongly influences the dynamics. A qualitative agreement with recent experimental results for H2 and D2 is obtained. Quasiclassical trajectory calculations are performed for the same systems. By comparison with the exact quantum calculations, the classical probabilities for H2 and D2 are shown to be too large at low kinetic energies. For molecules heavier than T2 , classical dynamics are shown to be adequate. The sources of error in the classical simulations are discussed.
    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 86 (1987), S. 1026-1035 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A quantum mechanical study of the dynamics of H2 dissociation on Ni is presented. The H2 molecule approaches the surface and is held parallel to the surface. The center of mass is atop a Ni atom and the dissociated atoms have minimum energy at bridge binding sites. This restricted molecular configuration allows us to propagate the molecular wave function in time numerically, using fast Fourier transform techniques. The probability for dissociative adsorption is computed as a function of initial molecular kinetic energy, for a variety of model gas–surface potentials. The way in which the height of the barrier to dissociation affects this energy dependence, as well as the nature of the transfer of energy from the center of mass into the relative motion of the H atoms is examined. By including effects due to H atom mobility it is demonstrated how barriers to surface diffusion can dominate dissociation rates by controlling the extent of recombination. Activation barriers to adsorption in the entrance channel are shown to attenuate the incoming molecular beam, and temporarily trap H2 near the surface. The dissociation of H2 is fairly nonclassical, particularly at thermal energies where much reflection occurs at barrier crossing even when the incident energy is above the barrier.
    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 92 (1990), S. 1458-1467 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A recently developed fully quantum theory of gas–surface energy transfer has been modified to treat systems where the wave function of the scattering molecule is written in terms of time dependent Gaussian wave packet basis functions. This allows for the inclusion of surface temperature effects in the systems studied using these techniques. The treatment is fully multiphonon, and can be applied to systems where the coupling of the gas particle to the vibrations of the solid is anywhere from weak to strong. Equations of motion are derived for the parameters which described each wave packet. In the limit we ignore the widths and phases of these wave packets, the remaining equations for the average position and momentum describe a classical trajectory coupled to a bath of quantum mechanical oscillators. Unlike earlier forms of this theory, our molecular trajectory has proper temperature dependence. Expressions are derived for both the sticking probability, and P(ΔE), the probability that a scattering particle exchanges and amount of energy ΔE with the solid. The dependence of these probabilities on the surface temperature, particle mass, particle energy, angle of incidence, and the interaction potential are examined for He, Ne, and Ar scattering from Cu(100). Comparison is also made with recent experimental studies of Ar on Ni and Ir. Reasonable agreement is found for average scattered beam energies and trapping probabilities.
    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 90 (1989), S. 140-150 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A theory is presented for the phonon inelastic scattering of molecules from surfaces. Both the molecule and the surface and bulk vibrations of the solid are treated in a fully quantum mechanical fashion. The model includes multiphonon interactions and is thus applicable to both heavy and light gas species at both high and low beam energies. The method is a mean field approach in that both the molecule and the bath are evolved simultaneously and self-consistently. The result is that the molecular wave function obeys a Schrödinger-like equation, but propagates on a gas–surface interaction potential which is both time and temperature dependent. The theory is easily applied to standard zero temperature time dependent scattering techniques, with only a small increase in computer requirements. The model is extended to the specific case of atom–metal scattering. Results are presented for Ne scattered from a Cu(100) surface.
    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 89 (1988), S. 2473-2481 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A theory is presented for the phonon inelastic scattering of light atoms and molecules from surfaces. Both the gas species and the thermal fluctuations of the solid are treated in a fully quantum fashion. A self-consistent field method is used to reduce the evolution of the reduced density matrix to the propagation of a single wave function and a set of coefficients describing phonon excitation and annihilation. The method allows one to extend recent time dependent molecule–surface scattering theories to finite temperature, with only a small increase in computer time. Agreement is found with experimental data for the thermal attenuation of diffraction peaks for He scattered from Cu. Energy transfer is found to be sensitive to the steepness of the repulsive potential, the molecular kinetic energy, and the angle of incidence, and only weakly dependent on the well depth. The "Beeby correction'' is examined and shown to be invalid, except at very low beam energies where there is a small correlation between well depth and inelastic scattering. For this model, energy transfer does not scale with the normal component of the beam energy.
    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 83 (1985), S. 1952-1958 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We develop a new method for the calculation of the atom scattering analog of the Debye–Waller factor. Unlike x-ray and neutron scattering the properties of an atom scattered by a solid surface cannot be computed by perturbation theory; therefore the simple Debye–Waller theory cannot be applied. Nevertheless the Debye–Waller phenomenon has a close analog: the elastic intensity is depressed due to the uncorrelated part of the thermal motion of the lattice atoms. To compute this effect we develop a time dependent scattering theory in which the quantum properties of the scattered atom are described by propagating coherently an ensemble of wave packets and lattice motion is simulated by a classical Langevin equation. Applications are made to He and Ne scattering from a surface whose lattice dynamics mimics that of Pt(111) but whose corrugation was slightly increased to enrich the diffraction structure.
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 5707-5716 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We use analytic models, valid for neutron scattering, and numerical calculations to examine a method proposed by Drolshagen and Heller for computing atom diffraction from surfaces. Our main concern is the manner in which the use of narrow packets, causing a partial coherence of the incident beam, might affect the differential intensity. We find that the demands of representing beam coherence correctly conflict with the requirements for the validity of the propagation scheme. We suggest some improvements that should increase the reliability of the method without affecting greatly its remarkable computational and conceptual advantages.
    Type of Medium: Electronic Resource
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