La. Archer et al., ORIENTATION DYNAMICS OF A POLYMER MELT STUDIED BY POLARIZATION-MODULATED LASER RAMAN-SCATTERING, Journal of rheology, 38(4), 1994, pp. 1101-1125
Polarization-modulated laser Raman scattering was used to study the or
ientation dynamics of an entangled poly(isobutylene) melt during step
uniaxial extension. Anisotropies in the second and fourth moments of t
he orientation distribution of chain segment vectors were recovered fr
om Raman-scattered light associated with the nu(s) stretching vibratio
n modes of carbon-carbon and carbon-hydrogen groups present in the spe
cimen. The respective second and fourth moments recovered from the car
bon-carbon and carbon-hydrogen vibrations agreed with each other reaso
nably well. Moreover, the strain-dependent anisotropies in the second
moment compared quite well with those recovered from simultaneous bire
fringence measurements. Constitutive theories such as the ''temporary
network'' model and the ''partially extending strand convection'' mode
l that use strong strain measures, predict second and fourth moment an
isotropies that are of similar magnitude to those determined experimen
tally. On the other hand, constitutive theories like the Doi-Edwards m
odel with the independent alignment approximation, which use weaker st
rain measures, predict moment anisotropies that are consistently lower
than those observed experimentally for the entire range of strains in
vestigated. In addition, starting with a general expression for the Ra
man tensor in a principal molecule-fixed coordinate frame, it is shown
that the polarization components of the Raman-scattered intensity are
functions of the birefringence retardation, the second moments, and t
he fourth moments of the orientation distribution of polymer strand en
d-to-end vectors.