A. Tokmakoff, ORIENTATIONAL CORRELATION-FUNCTIONS AND POLARIZATION SELECTIVITY FOR NONLINEAR SPECTROSCOPY OF ISOTROPIC MEDIA .2. 5TH ORDER, The Journal of chemical physics, 105(1), 1996, pp. 13-21
The influence of orientational relaxation on the fifth-order nonlinear
polarization is evaluated for off-resonant Raman and dipole resonant
experiments in the perturbative limit. The symmetry properties of the
chi((5)) tensor are discussed, and correlation functions for orientati
onal diffusion are calculated for all fifth-order tensor elements rele
vant to isotropic media. The results allow generalization of the effec
t of orientational motion on the nonlinear experiment of arbitrary ord
er. The general polarization dependence of the fifth-order experiments
are obtained and used to address the selectivity of certain polarizat
ion geometries to orientational dynamics. It is shown that for chi((5)
) Raman spectroscopies, no combination of polarizations will give comp
lete selectivity to the isotropic, anisotropic, or nonresonant contrib
utions to the Raman polarizability tenser. Similar restriction of sele
ctivity exists for resonant experiments. Polarization conditions are s
uggested to facilitate the comparison of third- and fifth-order spectr
oscopies. (C) 1996 American Institute of Physics.