Hh. Krbecek et al., A NEW BRILLOUIN-SCATTERING ANALYSIS OF HIGH-FREQUENCY RELAXATIONS IN LIQUIDS DEMONSTRATED AT THE HYPERSOUND RELAXATION OF PPG, Polymer, 37(16), 1996, pp. 3483-3491
We present a new method to analyse data obtained by Brillouin scatteri
ng. Using two scattering geometries simultaneously and measuring separ
ately the refractive index n(T) we can determine the logarithmic deriv
ative partial derivative dlgM'(omega, T)/partial derivative lg omega =
Q(M) and thus are able to characterize unambiguously the dominant fas
t processes by high precision frequency shift measurements. For a suff
icient narrow relaxation time distribution the imaginary part M''(omeg
a, T) of the complex modulus M(omega, T) = M'(omega, T) + iM''(omega,
T) can be derived. Analysing data of poly(propylene glycol) with M(w)
= 1000 (PPG 1000) we find the fastest process to show Arrhenius behavi
our. Using published data from impulsive surface scattering we can fin
ally deconvolute a set of three different processes: two exhibiting Ar
rhenius behaviour and one showing Vogel-Fulcher-Tammann behaviour. The
se three processes describe the data to a high accuracy and are tentat
ively assigned to molecular motions. At high frequencies the relaxatio
n time distribution observed narrows to a single relaxation time. In t
he light of these results it seems questionable to use linewidth data
from Brillouin scattering experiments to determine the width of the re
laxation process. From the present work we believe the experiments wit
h surface acoustic waves to be the most effective since they can be co
upled with Brillouin scattering experiments. Copyright (C) 1996 Elsevi
er Science Ltd.