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Updated: Aug 20, 2026

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Published on: July 19, 2019
Quantum and dynamical effects of proton donor-acceptor vibrational motion in nonadiabatic proton-coupled electron
Alexander Soudackov1, Elizabeth Hatcher, Sharon Hammes-Schiffer
1Department of Chemistry, Pennsylvania State University, University Park, PA 16802, USA.
Abstract:
This paper presents a general theoretical formulation for proton-coupled electron transfer (PCET) reactions. The solute is represented by a multistate valence bond model, and the active electrons and transferring proton(s) are treated quantum mechanically. This formulation enables the classical or quantum mechanical treatment of the proton donor-acceptor vibrational mode, as well as the dynamical treatment of the proton donor-acceptor mode and the solvent. Nonadiabatic rate expressions are presented for PCET reactions in a number of well-defined limits for both dielectric continuum and molecular representations of the environment. The dynamical rate expressions account for correlations between the fluctuations of the proton donor-acceptor distance and the nonadiabatic PCET coupling. The quantities in the rate expressions can be calculated with a dielectric continuum model or a molecular dynamics simulation of the full system. The significance of the quantum and dynamical effects of the proton donor-acceptor mode is illustrated with applications to model PCET systems.
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