Diffusion-controlled reaction rate to a buried active site

Abstract

An approximate expression is presented for the rate coefficient k to an embedded active site. The site is located at a depth (sR) in a hollow channel whose sides are located at the polar angle ϑ₀, in a sphere of radius R. The result is k (ϑ₀,s) = (2πDR)[1−cosϑ₀][(1−s)/s +η (cosϑ₀)]⁻¹, where D is the diffusion coefficient and η (x) is given as a series of Legendre polynomials.