Phenomenological and molecular models of biological proton transfers

In this paper, the main models describing the transfer of a proton in a molecular system are presented. Models valid when the intersite coupling is weak (non-adiabatic and electronically adiabatic regimes) and strong (adiabatic regime) are described. We distinguish molecular models in which the rate constant is obtained by considering explicitly various degrees of freedom of the system and simpler, phenomenological models built to account for the kinetic isotope effect. The relations between the various models are discussed. Their application to specific systems is illustrated by several studies reported in the literature, with a special emphasis on biological systems.