Statistical foundations of heterogeneous kinetics

Abstract

A mathematical analysis of the correlation between Weibull and gamma distributions is presented. On this basis, processes obeying the relation Q t/Q∞ = 1 - e-btn (Qt/Q ∞ being the fractional yield of an interface reaction at time t) can be explained better. Selected values of n, found experimentally, reflect the specific rate dependence of the distribution of the surface potential on active sites. By using the corresponding gamma distribution functions we show that most of these processes obey either directly or indirectly the normal distribution of the activity of reacting sites. Copyright © 1975 American Institute of Physics.