Derivation of the Explicit Equation Relating Mass-Transfer-Limited-Current to Voltage at the Interface between Two Immiscible Electrolyte Solutions (ITIES)

Abstract

A relation between the potential drop across the boundary layer and the potential drop at the double layer at the liquid-liquid interface was put forward by Indenbom to give an indication of the polarizability of the interface. We used this same approach, demonstrating that feasible assumptions allow to eliminate all the others variables in order to know the relationship between the current across the interface as a function of the total potential from one bulk solution to the other (i.e. I vs. ). The final expression is mathematically similar to the Butler-Volmer equation for classical electrode kinetics.