Debye type dielectric dispersion

Raicu, V. 1999. Dielectric dispersion of biological matter Model combining Debye-type and universal responses. Phys. Rev. E 60 4667-80. 

Figure 1 For pure bulk ice samples, (a) Temperature dependence of the dielectric relaxation time r and (b) Cole-Cole plots of pure ice crystal (parallel to the c-axis) at -10 °C. The dielectric dispersion is of the Debye type (a=0.99, p=1.00).

Bulk ice samples show dielectric dispersion of the Debye type. On the other hand, samples consisting of packed ice particles tend to show dielectric dispersion of the Davidson-Cole type. 

In short-chain alcohols the dielectric dispersion is described by three relaxation times (three dispersion ranges), the predominant of which is the low-frequency Debye-type process. The experimental results may be interpreted in accordance with various assumptions. 

The measurements of the Debye-Falkenhagen effect are generally made with reference to potassium chloride the results for a number of electrolytes of different valence types have been found to be in satisfactory agreement with the theoretical requirements. Increase of temperature and decrease of the dielectric constant of the solvent necessitates the use of shorter wave lengths for the dispersion of conductance to be observed these results are also in accordance with expectation from theory. 

At lower frequencies (Debye dispersion region), charge transport is limited by the minority carriers which form a bottleneck/ Applied field and current are no longer in phase this results in a polarization and rise of the dielectric constant from its high-frequency value. The conductances of the different defect types act as though in series. The minority carrier determines the over-all conductivity. 

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