Abstract

The effect of migration and diffusion on the steady-state potentiostatic response at spherical electrodes is studied numerically for radii of curvature 100 and 10 Å. The Poisson-Boltzmann equation in spherical coordinates is solved numerically for various concentrations of 1-1 inert electrolytes. The resulting potential-distance profiles are used to predict the degree of retardation of an electroactive pilot ion by the equilibrium diffuse double layer existing at spherical microelectrodes. Results illustrate that the electric field in the diffuse double layer can influence significantly the ionic flux to these small microelectrodes with normal charge densities on the electrode surface. For electrode radii of curvature of 0.1 μm or larger, this diffuse double-layer effect is essentially negligible under steady-state conditions.

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