Yi. Kharkats et al., PROPERTIES OF POLARIZATION CURVES FOR ELECTROCHEMICAL-CELLS DESCRIBEDBY BUTLER-VOLMER KINETICS AND ARBITRARY VALUES OF THE TRANSFER-COEFFICIENT, Electrochimica acta, 40(2), 1995, pp. 247-252
Theoretical investigation of potentiostatic electrolysis of a metallic
salt in three component electrolyte solution was carried out for a ce
ll consisting of two identical parallel electrodes. Analytical and num
erical results are given for polarization curves for electrochemical c
ells with arbitrary values of transfer coefficient alpha and exchange
current density. Theoretical analysis of the electrodiffusion problem,
based on an exact solution of the Nernst-Planck equations with bounda
ry conditions of Butler-Volmer type, led to a formula for the polariza
tion curve that is similar to the Tafel equation but with an effective
transfer coefficient alpha(eff) = alpha(1 - alpha). It was shown that
, under certain conditions, the polarization curve can have two inflec
tion points.