Dv. Matyushov et R. Schmid, OPTICAL AND RADIATIONLESS INTRAMOLECULAR ELECTRON TRANSITIONS IN NONPOLAR FLUIDS - RELATIVE EFFECTS OF INDUCTION AND DISPERSION INTERACTIONS, The Journal of chemical physics, 103(6), 1995, pp. 2034-2049
A microscopic theory of intramolecular optical and radiationless elect
ron transitions in nonpolar fluids is developed. The solute is modeled
by a polarizable dipolar hard sphere, and the solvent by polarizable
hard spheres. The effect of the induction and dispersion interactions
to the spectral line shift and width are calculated as a perturbation
expansion in the solute-solvent attractions. The relative contribution
s of both these effects depend significantly on the solute size. Only
for large solutes the dispersions are found to dominate the first orde
r energy shift, while inductions become important if the solute size i
s comparable to that of the solvent molecules. If the solute dipole mo
ment increases with excitation the dispersion and induction components
of the first order spectral shift add up leading to a redshift. In th
e converse case (dipole moment decreasing) the two components have opp
osite signs, and the shift may switch from red to blue. Furthermore, b
oth components cause the solvent reorganization energy to decrease sha
rply with the solute size. However, dispersions are of minor importanc
e relative to inductions, for the parameter values used in this study.
The linear correlation of the first order line shift with the solvent
dielectric function (epsilon infinity - 1)/(epsilon infinity + 2) of
the dielectric constant epsilon infinity is traced back to a compensat
ing effect of dispersions and inductions. The continuum theory is show
n to overestimate the solvent response,substantially. Both the solvent
reorganization energy and the Stokes shift (the difference between ab
sorption and fluorescence energies) are predicted to vary inversely wi
th temperature. If not masked by intramolecular reorganization, this d
ependence can cause a maximum in the Arrhenius coordinates for electro
n transfer rates in the near-to-activationless region. (C) 1995 Americ
an Institute of Physics.