Rehm–Weller equation

https://doi.org/10.1351/goldbook.RT07472
Empirical correlation found between the observed second-order rate constant, kq, for an intermolecular electron-transfer reaction and the Gibbs energy of the photoinduced electron transfer process within the encounter complex (ΔETG): kq=kd1+kdKdZ[exp(ΔGRT)+exp(ΔETGoRT)] with kd and k-d the rate constant for the formation and separation, respectively, of the encounter (precursor) complex, Kd=kd/k-d, Z the universal collision frequency factor, R the gas constant, T the absolute temperature and ΔG the activation Gibbs energy of the forward electron transfer reaction.
Note: In the original formulation of this equation the value kdKdZ=0.25 in acetonitrile was used.
Source:
PAC, 2007, 79, 293. (Glossary of terms used in photochemistry, 3rd edition (IUPAC Recommendations 2006)) on page 413 [Terms] [Paper]