EMT 8 P Simple graphycal method for the relaxation dielectric spectra parameteres determination
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LUKICHEV, A.. EMT 8 P Simple graphycal method for the relaxation dielectric spectra parameteres determination. In: Materials Science and Condensed Matter Physics, Ed. 6, 11-14 septembrie 2012, Chișinău. Chișinău, Republica Moldova: Institutul de Fizică Aplicată, 2012, Editia 6, p. 277. ISBN 978-9975-66-290-1.
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Materials Science and Condensed Matter Physics
Editia 6, 2012
Conferința "Materials Science and Condensed Matter Physics"
6, Chișinău, Moldova, 11-14 septembrie 2012

EMT 8 P Simple graphycal method for the relaxation dielectric spectra parameteres determination


Pag. 277-277

Lukichev A.
 
Institute of Geology and Nature Management FEB RAS
 
 
Disponibil în IBN: 25 martie 2020


Rezumat

The suggested graphical method [1] allows determine main quantitative parameters of the Debyelike relaxation dielectric spectra. Since a dielectric spectra is usually presented in the lin-log coordinates, let us introduce the new variableformulasubstituting (1) to the Debye equation yieldsformuilaThis function is plotted in Fig. 1. It is easy to see that the real and imaginary parts slopes of function (2) have the points of inflection and quasi-linear plot segments in the neighborhood of flex points. Let us make use of this fact. In fig. 1 the tangents are lined to the Debye real and imaginary parts graphs at flex points. The tangents cross the X-axis at points w1, w2, w3. We will consider the length of X-axis segments Δw1, Δw2, Δw3 (see fig. 1) bounded by points w1, wm, and wm, w2 and wm, w3 as the characteristic values for the relaxation spectra. The length of segments Δw1, Δw2, Δw3 does not depend on frequency and amplitude of the spectra; they are proportional to the half-width of loss peak or the dispersion area width. In the same way the slope coefficients of tangents can be found as the characteristic values. Thus, the segments and slope coefficients can be used as the quantitative attribute of loss peak width and the dispersion area width. Obviously, for the Debye and Cole-Cole distributions Δw1=Δw2 and k1=k2, for the Davidson-Cole and Havriliak-Negami distributions Δw1<Δw2 and k1>k2. For the Debye function Δw1=Δw2=1, Δw2=0.435, for the normalized Debye function ( ε s-ε∞=1) k1=k2=0.567. These values are used as the standard. By analogy the segments and slope coefficients can be found for the spectral function in log-log presentation.figureSince the characteristic segments are proportional to the loss peak half-width, it is easy to find the relationship between them. Using the segments and slope coefficients the relationships for determination of the Cole-Cole, Davidson-Cole and Havriliak-Negami distributions parameters α and β can be found too. The presented graphical method based on simple geometrical tracing is more accurate and simple than CC diagram. The method gives new opportunities to analyze the dielectric spectra by digital procedures. Using these parameters the spectra transformation under the influence of temperature and pressure may be described.