After a short historical review concerning measurements of the dielectric r
esponse of simple glass formers, we discuss the complex dielectric permitti
vity <(epsilon)over cap> (nu) above and below the glass transition temperat
ure, T-g, which we investigated in the frequency range 10(-3) Hz < nu < 10(
9) Hz. (i) As a first group of glass formers (type A systems) glycerol and
propylene carbonate, which do not show a beta-process, were studied, and a
complete line-shape analysis of <(epsilon)over cap>(nu) is presented. The e
volution of the high-frequency wing of the main relaxation (alpha-process)
is the most prominent spectral change while cooling and leads to an essenti
ally constant loss at T < T-g. This yields approximately a "1/f noise" in t
he spectral density, which extends at least over 7 decades in frequency (10
(-2) Hz < nu < 10(5) Hz). (ii) Several glass formers exhibit a pronounced b
eta-relaxation in addition to the alpha-process (type B systems). Of these
we investigated the dielectrically rigid systems toluene and fluoroaniline,
as well as propanol and polybutadiene. The high-frequency wing observed in
type A systems seems to reoccur also in type B systems. A quantitative lin
e-shape analysis is carried out including both processes by applying the Wi
lliams-Watts (WW) approach. Compiling several properties of the beta-relaxa
tion, that are generally observed, we give new arguments supporting Johari'
s idea, that the beta-process is an intrinsic property of supercooled liqui
ds, although its relaxation strength may vary significantly among different
glass formers. In some cases even no discernible beta-process is observed
(type A systems). Within the WW approach, we interpret the beta-process as
a local, spatially restricted reorientational process which precedes the al
pha-relaxation. Above T-g, its relaxation strength strongly increases with
temperature indicating that the spatial restriction imposed on the beta-pro
cess reorientation is released upon emergence of the alpha-process. (C) 199
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