Theory of potential relaxation after interrupting a steady-state current
This article predicts the chronopotentiometric response when a steady-state reductive voltammetric current is interrupted. Although the ohmic polarization disappears instantaneously, the presence of the double-layer capacitance prevents the cessation of faradaic current. The electrode potential adopts a value that reflects three processes — the continuing arrival of electroactive ions, the incomplete reduction of these ions, and the discharging of the capacitor — all of which proceed at a diminishing rate. A nonlinear differential equation is derived to incorporate these three processes and its dimensionless equivalent is solved as a power series. The form of the solution is shown to depend on whether or not the interrupted current was close to the limiting current of the reduction. Methods of analyzing the experimental chronopotentiogram are discussed. Keywords: current interrupt, potential relaxation, chronopotentiometry.