Abstract
An analytical solution of the time-dependent diffusion current to square, hexagonal and random arrays of microelectrodes has been obtained by consideration of the overlap of circular diffusion zones extending from each microelectrode in the array. For ordered arrays, overlap was calculated through exact geometrical constructions; in random arrays, it was obtained from application of the Avrami-Kolmogorov theorem. The time corresponding to the spherical-to-planar transition of diffusion to the array follows from the analysis, and it has been shown that, for constant number density and radius of microelectrodes in an array, it is independent of the array geometry. The analytical expressions obtained are in excellent agreement with available experimental and simulated results.
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