The current is considered at a stationary reversible spherical electrode whose potential E(t) as a function of time is given, such that E(t) determines the ratio of oxidized to reduced species at the electrode surface. Writing the current as that for planar geometry, I0, plus corrections for sphericity, we derive formulae for the corrections. The first two are expressed as integrals over I0, with no explicit dependence on the potential, for any form of E(t), and whether the reduced species diffuses into the electrode or into the solution. If the ratio of diffusion constants for oxidized and reduced species is taken as unity, and if oxidized and reduced species are both in the solution, the corrections become extremely simple (no integrations or differentiations), regardless of the form of E(t). The first correction is evaluated in several cases where this does not obtain.
Goodisman, Jerry, "General Correction for Electrode Sphericity in Voltammetry of Nernstian Systems" (1983). Chemistry Faculty Scholarship. 88.
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