Kb. Oldham et al., EFFECT OF ION-PAIRING ON STEADY-STATE VOLTAMMETRIC LIMITING CURRENTS AT MICROELECTRODES .1. THEORETICAL PRINCIPLES, Journal of electroanalytical chemistry [1992], 430(1-2), 1997, pp. 25-37
Voltammetric studies in solutions of high resistivity are facilitated
by the use of microelectrodes under steady-state conditions, Such solu
tions are encountered with solvents of low permittivity because of the
very sparing solubility of electrolytes. Moreover, in such media the
supporting electrolyte, as well as the electroactive ionic species, is
usually extensively ion paired. Here we predict the limiting current
that will flow in these circumstances, when a monovalent ion undergoes
a one-electron transfer at a hemispherical microelectrode to form a n
eutral product. The ion pairing equilibria are assumed to be fast but
all diffusion coefficients are treated as distinct. An analytical solu
tion is elusive in the general case, but a simple numerical procedure
allows the limiting current to be predicted for any combination of the
system parameters. Several special cases are also discussed, some of
which yield explicit formulae for the limiting current. In a companion
paper, experimental data are compared with the theoretical prediction
s. (C) 1997 Elsevier Science S.A.