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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 70 (1986), S. 357-364 
    ISSN: 1432-2234
    Keywords: Boltzmann equation ; Dipole moment ; Gases ; Ions ; Reaction kinetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Using the Fokker-Planck version of an approximate Boltzmann equation for the ion (translational) energy distribution function f I the departure, Δk, of the non-equilibrium ion-(polar) molecule reaction rate coefficient k non from its equilibrium value k (eq) is calculated. Δk enhances considerably with an increase of the dipole moment of the reacting molecular species (“locked dipole” reaction model). But the Δk-values, e.g. for reactions of H−(D−) and nitromethane in xenon enhance also with increasing ratio ϱ of the concentrations of CH3NO2 and Xe and decrease with enhancing gas temperature T. The reaction-induced (translational) non-equilibrium effect leads to a (non-equilibrium) kinetic isotope effect depending on ϱ and T. At T=300 K the example yields k H /k d =1.345(ϱ=5 · 10−4),=1.409 (ϱ=10−5) and=1.414−k H /(eq) /k D (eq) (ϱ≤10−6).
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 73 (1988), S. 67-78 
    ISSN: 1432-2234
    Keywords: Activation energy ; Boltzmann equation ; Cross section ; Gases ; Reaction kinetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The rate ν of bimolecular chemical reaction A+A=B+C is analyzed for simple models of reactive cross sections. Collisions of particles colliding with energy E larger than a relatively low characteristic energy E Lare either non-reactive (reversed Prigogine-Xhrouet model = rPX) or the ability to react is decreasing for E〉E L(reversed line-of-centres model = rLC). After solution of the Boltzmann equation analytical expressions for the distribution function f and the rate coefficient k have been derived. It is shown that the Arrhenius activation energy E Ais small and even negative for sufficiently small E L. The non-equilibrium corrections to ν are small.
    Type of Medium: Electronic Resource
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