The complex permittivity ^ εðνÞ ¼ ε
0
ðνÞ À iε
00
ðνÞ is related with the complex
conductivity via ^
σðνÞ ¼ i2πνε 0 ^ εðνÞ , where ε 0 is the permittivity of vacuum.
Therefore, the imaginary part of the permittivity (dielectric loss), ε
00
, is proportional
to the real part of the conductivity: σ
0
ðνÞ ¼ 2πνε 0 ε
00
ðνÞ. For comparison with newer
results presented in the next paragraphs we transformed some of the published ε
00
spectra into σ
0
ðνÞ (see Figs. 2, 3, and 4). Here and in the following, ν always
stands for the experimental frequency which is connected to the angular frequency
via ν ¼ ω=ð2πÞ.
log 10 (ν/Hz)
2
3
4
5
-9
-8
-7
-6
-5
-4
log 10 (ν/Hz)
0.46
0.23
0.08
0.00
2
3
4
5
0
1
2
3
4
0.46
0.23
0.08
log
10 (ε′′)
0.00
a
b
log
10 (s¢×W×cm)
Fig. 2 (a) Influence of the NaBr content on the dielectric loss factor ε
00 of NaPSS/VBTAC
complexes at 27.5
C; data redrawn from Fig. 5 of [2]. (b) The corresponding conductivity spectra
have been calculated from ε
00 using the relation σ
0 ðνÞ ¼ 2πνε 0 ε
00 ðνÞ . The concentration of the
dopant NaBr is defined as equivalents per equivalent of neutral polysalt
2
3
4
5
1
2
3
4
5
6
RH = 33%
RH = 51%
RH = 64.4%
RH = 75%
RH = 92.5%
a
log
10 (e¢¢)
log 10 (n/Hz)
log 10 (n/Hz)
2
3
4
5
-8
-7
-6
-5
-4
-3
b
log
10 (s
¢×W×cm)
Fig. 3 (a) Influence of the relative humidity on the dielectric loss factor ε
00 of NaPSS/ VBTAC
complexes at 27.8
C; data were redrawn from Fig. 9 of [3]. (b) The corresponding conductivity
spectra have been calculated from ε
00
104
C. Cramer and M. Scho ¨nhoff