A. Tokmakoff, ORIENTATIONAL CORRELATION-FUNCTIONS AND POLARIZATION SELECTIVITY FOR NONLINEAR SPECTROSCOPY OF ISOTROPIC MEDIA .1. 3RD-ORDER, The Journal of chemical physics, 105(1), 1996, pp. 1-12
The contribution of orientational relaxation to the tensor components
of the third-order nonlinear polarization is evaluated for off-resonan
ce Raman and dipole resonant experiments in the perturbative limit. Or
ientational correlation functions are calculated within the model of o
rientational diffusion for all third-order tensor components relevant
to isotropic media. General expressions for polarization geometries th
at are selective to particular components of the signal, i.e., magic a
ngles, are derived for collinear and crossed-beam excitation geometrie
s. It is shown that although limited selectivity exists for Raman spec
troscopies, no combination of polarizations will give complete selecti
vity to the isotropic, anisotropic, or nonresonant contributions to th
e Raman polarizability tenser. For resonant spectroscopies, the four-t
ime correlation function that describes the orientational polarization
decay can be written as the product of three two-time correlation fun
ctions. While magic angles for orientational relaxation will exist for
experiments that probe population dynamics, such as pump-probe and tr
ansient grating spectroscopies, orientational relaxation cannot be rem
oved from coherence experiments such as the photon echo. (C) 1996 Amer
ican Institute of Physics.