R. Gerhardt, IMPEDANCE AND DIELECTRIC-SPECTROSCOPY REVISITED - DISTINGUISHING LOCALIZED RELAXATION FROM LONG-RANGE CONDUCTIVITY, Journal of physics and chemistry of solids, 55(12), 1994, pp. 1491-1506
The advantages of plotting a.c. data in terms of impedance, electric m
odulus and dissipation factor simultaneously are illustrated. Complex
impedance is generally employed for ionic conductors because it can ea
sily distinguish between bulk and grain boundary effects. However, com
parison with the modulus and dissipation factor data allows easier int
erpretation of the microscopic processes responsible for the measured
a.c. response. In particular, the difference between localized (i.e. d
ielectric relaxation) and non-localized conduction (i.e. long range co
nductivity) processes within the bulk of the material may be discerned
by the presence or the absence of a peak in the imaginary modulus ver
sus frequency plot. Similarly, the absence or presence of a peak in th
e imaginary impedance versus frequency plot can be correlated to space
charge effects and non-localized conductivity. Long-range conductivit
y results in nearly complete impedance semicircles but no frequency di
spersion in the permittivity while localized conductivity is reflected
in a frequency dependent permittivity but no measurable conductance.
The degree to which these assignments may be made is related to the di
electric relaxation ratio (r = epsilon(s)/epsilon infinity) and the di
fferences between the time constants of the different relaxation proce
sses present in the material being examined.