Numerical Brownian-motion model reaction rates

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Abstract
This paper presents detailed numerical calculations of surface-catalyzed chemical reaction rates in the Brownian-motion rate theory of Kramers. Accurate values of the rate for a wide range of values of the friction coefficient, the principal parameter of the theory, are obtained for the first time. A one-parameter empirical formula is obtained which gives the rate in quite general circumstances. Application of the results to calculation of catalytic rates at metal surfaces is discussed.