Polarization curves
of the hydrogen evolution reaction (HER), recorded
on rotating disk electrodes (RDEs) in mildly acidic solutions, usually
show a “two step” behavior. That is, two exponentially
rising segments (the first commonly assigned to H+, the
second to water reduction) are separated by a limiting current plateau.
Here, we devise an analytical model for the full polarization curve
by assuming that HER proceeds according to a quasireversible two-electron
reaction, H+ + H2O + 2e– ⇌
H2 + OH–, obeying the Erdey-Grúz–Volmer–Butler
equation. Our model is able to reproduce the two step behavior of
polarization curves and can also be used for the fitting of measured
currents over a broad range of pH, rotation rate, and electrode potential,
on both Au and on Pt. We show that the length of the limiting current
plateaus measured on RDEs for HER is inversely related to the electrocatalytic
activity of the electrode and that at a given rotation rate a linear
relationship exists between the plateau length and the bulk solution
pH. By analyzing this relationship, we can estimate kinetic parameters,
even in cases where the transport performance of the RDE would otherwise
not be sufficient to measure well-defined kinetic currents at low
overpotentials.