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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 6784-6791 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A general theoretical treatment employing a time-independent algebraic variational method (S-matrix Kohn variational method) for dissociative adsorption of a diatomic molecule on a smooth metal surface is presented. The time-independent scattering treatment using the S-matrix Kohn variational method naturally enables one to obtain accurate state-to-state reaction probabilities for dissociative adsorption of molecules on surfaces. In this paper, the S-matrix Kohn variational method is adapted to the 3D dissociative adsorption of H2 on Ni(100) surface treated as a flat surface, and the state-to-state transition probabilities are obtained. The dependence of the dissociation probabilities on the initial rovibrational state of H2(vjm) is examined. As a result of flat surface approximation, which conserves the rotation quantum number jz=m, the exchange symmetry of H2 has an important consequence on the vibrations of the adsorbates. Specially if the rotational state of H2 satisfies the condition j+m=odd, the vibrational quantum number of two adsorbed hydrogen atoms must be different. The orientational effect of rotation is such that the in-plane rotation (m=j) is more favorable for molecular dissociation on surface than the out-of-plane rotation (m=0).
    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 97 (1992), S. 596-604 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We propose in this paper a quantitative theoretical model to describe the recombination dynamics of hydrogen on Si(100)-(2×1) surface. The desorption kinetics of hydrogen on Si(100) has been experimentally determined to obey a first-order rate law and the internal state distributions of desorbed hydrogen has recently been determined experimentally using the resonantly enhanced multiphoton ionization technique. In this theoretical model, which has the characteristic of preassociative desorption, the rate of desorption and the internal state distribution of H2 is given by a thermally averaged golden-rule expression. In particular, the desorption of H2 is supposed to result from a bound-free transition between an initially bound state composed of two H–Si dangling bonds on the same silicon dimer and a final continuum state consisting of H2 plus Si surface. In addition to explaining the first-order desorption kinetics, our model dictates that H2 will be vibrationally hot upon desorption, whereas rotation of H2 will generally be expected to be cold because of symmetry constraints. These conclusions about the dynamics are consistent with recent experiments [K. W. Kolasinski, S. F. Shane, R. N. Zare, J. Chem. Phys. 95, 5482 (1991); 96, 3995 (1992)] in which hydrogen is found to be vibrationally excited but rotationally cold. We show, in this paper, that essentially all recent experimental results on hydrogen desorption on Si(100) can be qualitatively explained based on the Franck–Condon factors in our model. A co-planar model calculation is carried out using our method, and the calculated rovibrational distribution of H2 is compared with the aforementioned experimental results of Kolasinski, Shane, and Zare.
    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 96 (1992), S. 3866-3874 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A time-dependent quantum wave packet method has been applied to studying the process of activated dissociative chemisorption of H2 on Ni(100) surface. The Ni surface is treated as static and the effect of weak surface correlation is neglected in our dynamics calculation. The three-dimensional calculation is fully quantum mechanical without any reduced dimension approximation. An empirical London–Erying–Polanyi–Sato (LEPS) potential surface has been used and modified in our dynamics calculation to produce a reasonable barrier height compatible with experiment. Sticking probabilities have been computed as a function of initial normal incident kinetic energy and are compared to experimental results as well as another 3D quantum dynamics calculation. Good agreement has been found between our theoretical calculation and molecular beam experiment in the energy dependence of the dissociation probability. It is also found that vibrational excitation of H2 enhances dissociation probability, in agreement with the prediction of an earlier theoretical calculation. Snapshots of the wave function are plotted that provide intimate details of the dissociation dynamics in time and space.
    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 99 (1993), S. 1373-1381 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The quantum dynamics of dissociative adsorption and associative desorption of hydrogen on Cu(111) surface over an atop site has been studied in detail using the S-matrix Kohn variation method for reactive scattering. We employed an empirical London–Erying–Polanyi–Sato (LEPS) type potential energy surface (PES) with parameters fitted to the available experimental adsorption data and to theoretical cluster calculations. The dissociation probability of hydrogen, as a function of normal kinetic energy, is calculated for individual rovibrational states with the v=1 translational energy threshold being lower than that of v=0 by about 0.317 eV. Our calculation shows that dissociative adsorption of H2 on Cu(111) at relatively low kinetic energies (〈0.4 eV) is dominated by the component of vibrationally excited H2(v=1), whereas ground H2(v=0) plays the dominate role at higher kinetic energies. In addition to vibrational enhancement of hydrogen dissociation, the role of hydrogen rotation in dissociative adsorption has also been examined. In particular, in-plane rotation of H2(m=j) is found to be more favorable for dissociation than out-of-plane rotation (m=0), similar to the finding from a previous study on H2/Ni(111) system. The present study also examined internal state distributions of H2 desorbed from Cu(111). The vibrational population ratio Pv=1/Pv=0 in desorption is much larger than the thermal distribution at surface temperatures. The relation between the vibrational population ratio in desorption and the vibrational enhancement in adsorption is discussed and analyzed. Our theoretical results are compared to the recent experimental results for both adsorption and desorption of H2 on Cu.
    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 101 (1994), S. 1555-1563 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Following two previous quantum dynamics studies [J. Chem. Phys. 97, 6784 (1992); 99, 1373 (1993)], we present in this paper a more thorough investigation of the symmetry and rotational orientation effects in dissociative chemisorption of diatomic molecules on metals. Specifically, we extended our theoretical studies to calculate the sticking coefficients for H2 and its isotopomer HD on Cu from all angular momentum states (up to j=8). Our calculation shows a strong dependence of the dissociation probability P(jm) on both j and m rotation quantum numbers, and the increases of P(jm) are closely correlated with the increase of the quantum number m in a given j manifold. Also the dissociation of the diatomic rotational states whose quantum numbers satisfy j+m=odd is forbidden at low energies for the homonuclear H2 due to the selection rule. The present study provides further evidence that the effect of diatomic rotation on adsorption mainly arises from the effect of rotational orientation (m dependence) as found in previous studies. This m dependence predicts that at low kinetic energies, the degeneracy-averaged dissociation probability of hydrogen on Cu increases monotonically as the rotation quantum number j increases. However, at high kinetic energies, the adsorption probability first decreases as j increases from 0 to about 4–5 before increasing as j further increases above 4–5. The latter behavior is consistent with a recent experimental measurement by Michelsen et al. of the mean kinetic energy of the rotational states of D2 desorbed from Cu(111).
    Type of Medium: Electronic Resource
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