Abstract
The empirical dielectric decay function γ(t)= exp –(t/τ0)β may be transformed analytically to give the frequency dependent complex dielectric constant if β is chosen to be 0.50. The resulting dielectric constant and dielectric loss curves are non-symmetrical about the logarithm of the frequency of maximum loss, and are intermediate between the Cole-Cole and Davidson-Cole empirical relations. Using a short extrapolation procedure, good agreement is obtained between the empirical representation and the experimental curves for the α relaxation in polyethyl acrylate. It is suggested that the present representation would have a general application to the α relaxations in other polymers. The Hamon approximation, with a small applied correction, is valid for the present function with β= 0.50 in the range log(ωτ0) > –0.5, but cannot be used at lower frequencies.
Keywords
ExtrapolationDielectricLogarithmRelaxation (psychology)ChemistryDielectric lossFunction (biology)Representation (politics)ThermodynamicsRange (aeronautics)Condensed matter physicsStatistical physicsMathematical analysisMathematicsQuantum mechanicsPhysicsMaterials scienceLaw
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Publication Info
- Year
- 1970
- Type
- article
- Volume
- 66
- Pages
- 80-80
- Citations
- 4301
- Access
- Closed
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Cite This
Graham Williams,
David C. Watts
(1970).
Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function.
Transactions of the Faraday Society
, 66
, 80-80.
https://doi.org/10.1039/tf9706600080
Identifiers
- DOI
- 10.1039/tf9706600080