Scaling and modeling in the analysis of dispersive relaxation of ionic materials.
In: Journal of Applied Physics, Jg. 90 (2001-07-01), Heft 1, S. 153-161
Online
academicJournal
Zugriff:
Problems with scaling of conductive-system experimental M[sub dat][sup ″](ω) and σ[sub dat][sup ′](ω) data are considered and resolved by dispersive-relaxation-model fitting and comparison. Scaling is attempted for both synthetic and experimental M[sup ″](ω) data sets. A crucial element in all experimental frequency-response data is the influence of the high-frequency-limiting dipolar-and-vibronic dielectric constant ε[sub D∞], often designated ε[sub ∞], and not related to ionic transport. It is shown that ε[sub D∞] precludes scaling of M[sub dat][sup ″](ω) for ionic materials when the mobile-charge concentration varies. When the effects of ε[sub D∞] are properly removed from the data, however, such scaling is viable. Only the σ[sup ′](ω) and ε[sup ″](ω) parts of immittance response are uninfluenced by ε[sub D∞]. Thus, scaling is possible for experimental σ[sup ′](ω) data sets under concentration variation if the shape parameter of a well-fitting model remains constant and if any parts of the response not associated with bulk ionic transport are eliminated. Comparison between the predictions of the original-modulus-formalism (OMF) response model of 1972-1973 and a corrected version of it that takes proper account of ε[sub D∞], the corrected modulus formalism (CMF), demonstrates that the role played by ε[sub D∞] (or ε[sub ∞]) in the OMF is incorrect. Detailed fitting of data for three different ionic glasses using a Kohlrausch-Williams-Watts response model, the KWW[sub 1], for OMF and CMF analysis clearly demonstrates that the OMF leads to inconsistent shape-parameter (β[sub 1]) estimates and the CMF does not. The CMF KWW[sub 1] model is shown to subsume, correct, and generalize the recent disparate scaling/fitting approaches of Sideb... [ABSTRACT FROM AUTHOR]
Titel: |
Scaling and modeling in the analysis of dispersive relaxation of ionic materials.
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Autor/in / Beteiligte Person: | Macdonald, J. Ross |
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Zeitschrift: | Journal of Applied Physics, Jg. 90 (2001-07-01), Heft 1, S. 153-161 |
Veröffentlichung: | 2001 |
Medientyp: | academicJournal |
ISSN: | 0021-8979 (print) |
DOI: | 10.1063/1.1374480 |
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