Apparent Rate Constant for Diffusion-Controlled Three molecular (catalytic) reaction

Physics – Condensed Matter

Scientific paper

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12 pages, LaTeX, Revised: missing ref. for important paper by G. Oshanin and A. Blumen was added and minor misprints corrected

Scientific paper

10.1103/PhysRevE.51.2363

We present simple explicit estimates for the apparent reaction rate constant for three molecular reactions, which are important in catalysis. For small concentrations and $d> 1$, the apparent reaction rate constant depends only on the diffusion coefficients and sizes of the particles. For small concentrations and $d\le 1$, it is also time -- dependent. For large concentrations, it gains the dependence on concentrations.

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