Lg. Arnaut et Sj. Formosinho, THEORETICAL-STUDIES OF INTRAMOLECULAR ELECTRON-TRANSFER REACTIONS - DISTANCE AND FREE-ENERGY DEPENDENCES, Journal of photochemistry and photobiology. A, Chemistry, 100(1-3), 1996, pp. 15-34
Electron tunneling through a square potential energy barrier is used t
o calculate the distance-dependent factors of electron transfer (ET) p
rocesses in metal-monolayer-metal junctions, donors and accepters disp
ersed in rigid organic glasses, intramolecular ET in rigid donor-bridg
e-acceptor species in solution and redox centers attached to electrode
s through adsorbed monolayers. This tunneling model of distance-depend
ent non-adiabatic factors is incorporated in the intersecting state mo
del (ISM). The result is a simple semiclassical theory which is used t
o calculate the rates of non-adiabatic ET reactions. When the electron
is originally located in a pi molecular orbital of the donor and the
reaction free energy is no lower than approximately -50 kJ mel(-1), n
o adjustable parameters are necessary to calculate the intramolecular
ET rates from a donor, through a rigid bridge, to an acceptor. Such ca
lculated rates are within an order of magnitude of the experimental va
lues. The model can also account for the ET rates of more exothermic r
eactions provided that the value of an empirical parameter, which is c
onstant for structurally related reactants and solvents of similar pol
arity, is estimated. The physical meaning of this parameter is related
to the dynamics of the reactions. The profiles of the distance and fr
ee energy dependences of photoinduced ET rates are closely reproduced.
The occurrence of distance-dependent non-adiabatic factors in intermo
lecular sigma-d ETs is rationalized.