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Non-Debye and CPA Behaviors of Ionic Materials

Published online by Cambridge University Press:  10 February 2011

J. C Wang
J. C Wang*
Affiliation:
Energy Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831–6185
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Abstract

Non-Debye and constant-phase-angle (CPA) behaviors associated with the bulk and interfacial processes involving ionic materials are discussed in terms of complex impedance, admittance, and dielectric spectra. The yielding of a CPA and/or a broad non-Debye dielectric loss peak in a spectrum from fractal, pore, and ion-hopping models are compared and reviewed. The observed wide frequency ranges of the CPA behavior suggest that the fractal and pore models, which require a wide range of special structures down to very fine scales, may not be realistic. The ion-hopping model treats the bulk and interfacial processes as a chemical reaction having a thermally-activated Arrhenius form. Because of thermal fluctuations, the activation energies for ion hopping (e.g., in a potential double-well) have a double-exponential distribution which yields a non-Debye dielectric loss peak and a CPA spectrum over a wide frequency range above the loss peak. The distribution also has a special temperature dependence which may explain the invariance of dielectric spectral shapes with temperature, an observation by Joscher. The construction of CPA elements (in a generalized Warburg impedance form) using three distinct types of resistor-capacitor networks are presented and used to aid the discussion.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 500: Symposium EE – Electrically Based Microstructural Characterization II , 1997 , 261
Copyright
Copyright © Materials Research Society 1998

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References

REFERENCES

1. Jonscher, A. K., Dielectric Relaxation in Solids. Chelsea Dielectrics Press, London (1983).Google Scholar
2. Wang, J. C, J. Electrochem. Soc. 134, p. 1915 (1987).Google Scholar
3. Liu, S. H., Phys. Rev. 55, p. 529 (1985).Google Scholar
4. Wang, J. C, Solid State Ionics 39, p. 277 (1990).Google Scholar
5. Wang, J. C and Bates, J. B., Solid State Ionics 18/19, p. 224 (1986).Google Scholar
6. Nyikos, L. and Pajkossy, T., Electrochim. Acta 30, p. 1533 (1985).Google Scholar
7. Wang, J. C., Solid State Ionics 28–30, p. 1436 (1988).Google Scholar
8. Pajkossy, T. and Nyikos, L., J. Electrochem. Soc. 133, p. 2061 (1986).Google Scholar
9. Wang, J. C., Electrochim. Acta 34, p. '987 (1989).Google Scholar
10. Kaplan, T., Gray, L. J., and Liu, S. H., Phys. Rev. B35, p. 5379 (1987).Google Scholar
11. Debye, P., Polar Molecules. Dover, New York (1929).Google Scholar
12. Anderson, J. C, Dielectrics. Reinhold, New York, p. 67 (1964).Google Scholar
13. Havriliak, S. and Negami, S., Polymer 8, p. 161 (1967).Google Scholar
14. Böttcher, C. J. F. and Bordewijk, P., Theory of Electric Polarization. Elsevier, Amsterdam (1978).Google Scholar
15. Wang, J. C. and Bates, J. B., Mat. Res. Soc. Symp. Proc. 135, p. 57 (1989).Google Scholar
16. Wang, J. C. and Bates, J. B., Solid State Ionics 50, p. 75 (1992).Google Scholar
17. Vineyard, G. H., J. Phys. Chem. Solids 3, p. 121 (1957).Google Scholar
18. Wimmer, J. M. and Tallan, N. M., J. Appl. Phys. 37, p. 3728 (1966).Google Scholar
19. Warburg, E., Ann. Phys. 6, p. 125 (1901).Google Scholar
20. Bates, J. B. and Wang, J. C., Solid State Inoics 28–30, p. 115 (1988).Google Scholar
21. Wang, J. C., Electrochim. Acta 38, p. 2111 (1993).Google Scholar