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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 1963-1971 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The rate for trapping and detrapping of particles diffusing to saturable traps is investigated. Careful attention is paid to the fact that, for traps which can hold only one particle, the trap occupation pT must be regarded as a stochastic rather than continuous variable. It is shown that neglecting correlation between pT and the occupation p1 of particles in the trap's neighborhood can lead to serious errors when the reaction is diffusion limited. However, an average correlation (AC) approximation, which is justified on the basis of detailed consideration of the hopping equations, is shown to be reliable in all cases. The AC is further shown to be equivalent to the McNabb–Foster equations, previously derived by heuristic arguments only, in the continuum limit. Short time effects are predicted in the diffusion-limited regime which result from the discreteness of the lattice. Results of the theory are supported by good agreement with Monte Carlo simulation data.
    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 92 (1990), S. 1972-1979 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Kinetics of diffusion-limited reactions are derived for the case in which there are two mobile species A and M which can convert to one another at a trap or catalysis site. At the same time the standard reaction of A getting trapped and detrapped is allowed to compete with the A(arrow-right-and-left)M reaction. Nonlinearities associated with trap saturation and the model where M is a diatomic molecule of A are included. Rate equations are derived for the bulk concentrations of A and M. Excellent agreement is obtained with simulation data when account is taken of the correlation between trap occupation and concentration immediately outside the trap. The equations are specifically designed for trapping, recombination, and dissociation of hydrogen atoms and molecules at defects; but they should have a broad range of applicability so that problems with several species and reactions can be handled with the same degree of accuracy as the Smoluchowski theory for trapping and detrapping of a single species. Results are accurate and general enough to include the nonlinearities introduced by trap saturation and trap-concentration-dependent rate constants.
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 87 (1987), S. 4612-4614 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Recent upper and lower bounds established by the authors for the rate to diffuse to traps in a random medium are compared in a consistent manner by taking account of how the trap-free volume affects various definitions of the rate constant.
    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 85 (1986), S. 3520-3529 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The average trapping rate and effective steady-state diffusion coefficient are derived for a particle hopping in a medium containing a random distribution of static traps. The traps may be of arbitrary size and concentration as long as they are allowed to overlap. Results are based on the author's previous calculation of the spatially averaged survival probability. The finite-density corrections are much smaller than found by previous workers but in good agreement with simulations. Validity of a diffusion-reaction equation is established for steady-state conditions and the distribution of filled traps. (Only ideal sinks with no detrapping are considered.) Cases where the macroscopic trap concentration varies with position and there is a distribution of trap sizes are also considered. Transient motion of the nontrapped particles is shown to be nondiffusive, both theoretically and by simulations.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 70 (1991), S. 4255-4262 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Nearly step-function-like profiles of trapped hydrogen or of properties, such as donor concentration, related to hydrogen diffusion are often observed in semiconductors. Expressions are derived for the depth of such profiles and their finite width as a function of time for arbitrary ratios of hydrogen concentration to trap concentration and for nonzero detrapping rates. The depth scales as t1/2 for normal trapping, but as (t ln t)1/2 if the observed quantity is excited by hydrogen passing in the vicinity without being trapped. The width of the profile is time-independent if hydrogen traps irreversibly. For reversible trapping or excitation without trapping the width is proportional to t1/2 or (t ln t)1/2, respectively.
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 68 (1990), S. 4043-4052 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The characteristic equilibration rate for hydrogen uptake in a metal film is shown to go through a maximum at a pressure well below that for hydride formation. This is brought about by non-negligible change of bulk hydrogen site occupancy with pressure once the surface chemisorption sites have been saturated. The rate will increase again after going through a minimum if there is significant hydrogen in impurity sites which can saturate or if there is dissociation at weakly bound subsurface or alternate surface sites. In the latter case the degree and form of nonmonotonicity is strongly dependent on the sticking coefficient of the weak sites, and thus can provide information about their nature. Appreciable hydrogen at impurity sites or in grain boundaries can greatly limit the equilibration rate and lower the pressure beyond which it decreases. Results are in qualitative agreement with recent data on Pd-SiO2 films in metal-oxide-semiconductor devices. Quantitative agreement with the long-time behavior is possible if the polycrystalline films had a large amount of hydrogen in grain boundaries.
    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 84 (1986), S. 956-963 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The heat capacity at constant pressure, Cp, of single-phase, face-centered cubic ScDx (x=1.75, 1.83, 1.91, and 1.99) was measured from room temperature to 950 K, and analyzed in terms of various contributions of the deuterium and metal constituents. Values ranged from approximately 40 to 80 J mol−1 K−1 with increasing temperature. The heat capacity at constant volume was assumed to be composed of lattice contributions from an acoustic vibrational mode, Cl(a)v, and an optical vibrational mode, Cl(o)v, plus an electronic contribution, Cev. The acoustic part, Cl(a)v, was evaluated as a Debye term with characteristic Debye temperatures calculated from measured values of temperature-dependent acoustic velocities and lattice constants. An isotope-adjusted Einstein temperature, derived from inelastic neutron scattering measurements on ScH2, was used to find Cl(o)v. The Cev term was evaluated from a published value of the electronic heat capacity constant for ScH2 (assumed to be the same for ScD2). Particular attention was paid to the dilation term, Cd=Cp−Cv, by evaluating it explicitly from the temperature-dependent volume expansion and elastic modulus. It was found that Cv=Cl(a)v+Cl(o) v+Cev+ΔC, the last term being an excess heat capacity of approximately the same magnitude as Cd. ΔC is attributed to anharmonic deuteron vibrations and deuteron–deuteron interactions, and is calculated for a specific model in reasonable agreement with the data.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 30 (1983), S. 497-507 
    ISSN: 1572-9613
    Keywords: Nuclear magnetic resonance ; paramagnetic impurities ; diffusion ; low dimensionality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A random walker tagged with a spin may conveniently be studied by small amounts of paramagnetic impurities which significantly affect the spin relaxation at concentrations as low as a few parts per million. Examples are found in nuclear magnetic resonance (NMR) and muon spin rotation (μSR). At low temperature relaxation is determined by the time for the walker to reach an impurity, and thus the impurity acts like a simple trap. Details of the interaction with the impurity are important at higher temperatures, and the relaxation rate is shown to go through a maximum because of this. Special features associated with many returns to the origin, particularly important in one-dimensional walks, and the difference between incoherent (rapidly fluctuating paramagnetic spin) and coherent (stationary paramagnetic spin) returns are discussed.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 65 (1991), S. 1085-1093 
    ISSN: 1572-9613
    Keywords: Reversible reactions ; saturable traps ; bimolecular ; diffusion ; superposition approximation ; cubic lattice
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Simulations of the kinetics of the reversible diffusion-influenced reaction A+B⇄AB on a cubic lattice, with initial conditions [A] = [B], [AB]=0, are compared with the predictions of two approximate theoretical formalisms. The first involves a simple rate equation with rate coefficients that are proportional to the time-dependent rate coefficient for an irreversible reaction. The second, which is based on a superposition approximation, contains a rate coefficient that explicitly depends on the bulk concentrations. Both reduce to the Smoluchowski approach in the irreversible limit. The results obtained using the modified rate equation formalism are exact at short times, but tend to approach equilibrium too rapidly. The predictions of the computationally more demanding superposition formalism agree remarkably well with the simulations for all times for the range of parameters examined.
    Type of Medium: Electronic Resource
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  • 10
    Publication Date: 1966-05-15
    Print ISSN: 0021-9606
    Electronic ISSN: 1089-7690
    Topics: Chemistry and Pharmacology , Physics
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