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- W2056548028 abstract "Closed-form rate expressions are derived on the basis of the stationary-phase approximation for the Fermi golden rule expression of the quantum electron-transfer (ET) rate. First, on the basis of approximate solutions of the stationary-phase points near DeltaG = 0, -lambda, and lambda, where DeltaG is the reaction free energy and lambda is the reorganization energy, three closed-form rate expressions are derived, which are respectively valid near each value of DeltaG. Numerical tests for a model Ohmic spectral density with an exponential cutoff demonstrate good performance of the derived expressions in the respective regions of their validity. In particular, the expression near DeltaG = -lambda, which differs from the semiclassical approximation only by a prefactor quadratic in DeltaG, works substantially better than the latter. Then, a unified formula is suggested, which interpolates the three approximate expressions and serves as a good approximation in all three regions. We have also demonstrated that the interpolation formula can serve as a good quantitative means for understanding the temperature dependence of the quantum ET rate." @default.
- W2056548028 created "2016-06-24" @default.
- W2056548028 creator A5051795688 @default.
- W2056548028 creator A5091898071 @default.
- W2056548028 date "2006-07-18" @default.
- W2056548028 modified "2023-10-10" @default.
- W2056548028 title "Closed-Form Expressions of Quantum Electron Transfer Rate Based on the Stationary-Phase Approximation" @default.
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- W2056548028 doi "https://doi.org/10.1021/jp061329v" @default.
- W2056548028 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/16986895" @default.
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