Abstract
A heuristic model of chemically induced electron spin polarization (CIDEP) that breaks the polarization mechanism into its component steps, with each step governed by an appropriate solution of the diffusion equation, is extended from a three to a two-dimensional system. The required solution of the 2D diffusion equation is provided by a relatively simple analytic approximation to the usual infinite series solution. The model yields the polarization and its time development for weak to strong singlet-triplet mixing in the radical pairs, whereas previous models are limited to very weak or very strong mixing. Its results agree with a variational solution of an integral equation of Monchick and are encouraging for observation of CIDEP in dimensionally restricted systems. The method also may be applicable to other diffusion-controlled, spin-dependent chemistry in spatially restricted environments.
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