Broad-band dielectric spectroscopy (10(-2)-10(9) Hz) has been performe
d on a mainly syndiotactic sample of poly(methyl methacrylate) (PMMA)
of molecular weight (Mw) 50 000. The syndiotactic (85%) PMMA was chose
n to study the merging of the alpha and beta relaxations in a system w
here the dielectric loss is dominated by a beta (or Johari-Goldstein)
relaxation. Contrary to other polymers the measured beta relaxation ha
s an asymmetrical shape that cannot be described by a Cole-Cole functi
on, not even at low temperatures where the alpha and beta relaxations
are well separated in frequency. Therefore the more general Havriliak-
Negami equation (HN) was used to fit the beta-loss. At temperatures cl
ose to T-g (= 404 K) the influence of the alpha relaxation complicates
the analysis. To investigate this merging of the alpha and beta proce
sses the data were analyzed in different ways. Both directly in freque
ncy domain and by means of a regularization method also in the time do
main. We have also analyzed the data adopting the William's ansatz, i.
e, instead of a simple addition of the alpha and beta relaxations the
processes are convoluted in the frequency domain. (C) 1998 Elsevier Sc
ience B.V. All rights reserved.