Title: Electrolyte effects on the alkaline hydrogen evolution reaction: a mean-field approach

Abstract: This paper introduces the combination of an advanced double layer model with electrochemical kinetics to explain electrolyte effects on the alkaline hydrogen evolution reaction. It is known from experimental studies that the alkaline hydrogen evolution current shows a strong dependence on the concentration and identity of cations in the electrolyte, but is independent of pH. To explain these effects, we formulate the faradaic current in terms of the electric potential in the double layer, which is calculated using a mean-field model that takes into account the cation and anion sizes as well as the electric dipole moment of water molecules. We consider that the Volmer step consists of two activated processes: a water reduction sub-step and a sub-step in which a hydroxide ion is transferred from the interface to the electrolyte bulk. Either of these sub-steps may limit the rate. The developed models for these sub-steps qualitatively explain experimental observations, including cation effects, pH-independence, and the trend reversal between gold and platinum electrodes. We also assess the quantitative accuracy of the water reduction-limited current model; we suggest that the predicted functional relationship is valid as long as the hydrogen bonding structure of water near the electrode is sufficiently maintained.