A general expression for the dielectric reorganization energy

Electron transfer rates in betaine-30 correlated with solvent dielectric relaxation E. Akesson et al., J. Chem. Phys. 95,4188 (1991)  

In this system electron transfer is believed to be in the inverted regime. The transfer rate is seen to correlate with the solvent dielectric relaxation when this relaxation is fast enough, but decouples from it in a slow solvent, in this case triacetine. 

Problem 16.6. Show that for the charge transfer (16.36) between two spherical centers andB, Eq. (16.71) yields the result (16.48). 

Electron transfer rates in betaine-30 correlated with solvent dielectric relaxation 

The integral in the last term can be done by using W(p-W lf = V-((/ V )— / where (j) and rj/ are scalar functions. Using the divergence theorem the integral / rfrV ( / V ) is shown to vanish, so 

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