terminate errors in the complicated case, however, are bound to be larger since multiple measurements are often necessary to access the state of a particular exchanged ion. Consequently, deconvolution will yield poorer results, which may be improved only by improving the precision of the isotherm data obtained.At 25 °C the complex dielectric spectrum between 1 MHz and 40 GHz has been measured in the whole composition range for aqueous solutions of dimethyl sulfoxide. Different relaxation spectral functions have been fitted to the measured frequency-dependent permittivity data. It was found that the unsymmetrical continuous Davidson-Cole relaxation time distribution is appropriate to describe the spectra. The width of the distribution function is remarkably small. When plotted versus the mole fraction of dimethyl sulfoxide, the principal dielectric relaxation time in correspondence with other parameter exhibits a pronounced relative maximum. The static permittivity reflects some kind of antiparallel ordering of dipole moments.
At eight temperatures T between 0 and 60 °C and at five mole fractions x
e of ethanol (0 < x
e ≤ 1) the
complex (electric) permittivity of ethanol/water mixtures has been measured as a function of frequency ν
between 1 MHz and 24 GHz. At 25 °C the ethanol permittivities are completed by literature data for the
frequency range 200 MHz to 90 GHz. The spectra for ethanol and for the ethanol/water mixtures are compared
to permittivity spectra for water which, at some temperatures, are available up to 900 GHz. All spectra of the
ethanol/water system can be well represented by the assumption of two relaxation regions. The relaxation
time τ
1 of the dominating relaxation process varies between 4 ps (x
e = 0, 60 °C) and 310 ps (x
e = 1, 0 °C).
The relaxation time τ
2 of the second relaxation process is smaller. Evaluation of the extrapolated low frequency
(“static”) permittivity yields a minium in the effective dipole orientation correlation of the ethanol/water
system at 0.2 ≤ x
e ≤ 0.4. In this composition range, other parameters also exhibit extrema, indicating a
microheterogeneous structure of the mixtures and the existence of precritical concentration fluctuations.
Interesting, the activation enthalpy ΔH
1
⧧ and entropy ΔS
1
⧧ of the dominating dielectric relaxation process
also display a distinct maximum at around x
e = 0.22. These activation quantities have been obtained from
Eyring plots of the relaxation time τ
1 at different mixture compositions. The relaxation parameters of the
ethanol/water system are discussed in terms of a wait-and-switch model of dipole reorientation.
At different temperatures T (0 °C ≤ T ≤ 60 °C) and mole fractions x of ethanol (0 ≤ x ≤ 1) the complex
(electric) permittivity of ethanol/n-hexanol mixtures has been measured as a function of frequency ν between
1 MHz and 18 GHz. Within this frequency range of measurement the dielectric spectra reveal two relaxation
regions. The relaxation time of the dominating relaxation process varies between τ1 = 63 ps (x = 1; 60 °C)
and τ1 = 2.8 ns (x = 0; 0 °C). The relaxation time τ2 of the second process is smaller (5 ps ≤ τ2 ≤ 109 ps).
The extrapolated static permittivity ε(0) of the alcohol systems is evaluated to show that there is a noticeable
effect of permanent electric dipole orientation correlation. The relaxation terms are discussed in the light of
hydrogen bond fluctuations and modes of reorientational motions of alcohol molecules. A remarkable result
is the finding that the activation enthalpy associated with the dominating relaxation process can be represented
by a sum of contributions from interactions between the hydrogen bonding OH-groups and between the
methylene as well as methyl groups of the alcohol molecules. This finding suggests intermolecular interactions
between the aliphatic groups to play a siginificant role in the dynamics of the molecular reorientations.
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