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The impact of fractal geometry on permittivity and related quantities

Risović, Dubravko; Gašparović, Blaženka; Ćosović, Božena (2002) The impact of fractal geometry on permittivity and related quantities. Journal of Physical Chemistry B,, 106 . pp. 9810-9814. ISSN 1520-6106

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Abstract

A new physical model of relative permittivity and derived quantities of fractal structures, contrary to the current concept, predicts their dependence on the fractal dimension (D) and on the extent (R) of the considered structure. The scaling of considered quantities predicted by our theory is ~ RD-d, where d is dimension of Euclidean space. Hence, fractality, a feature often found in physical, chemical and biological systems, influences also basic properties of such systems that, so far, were believed to be material and not structure related. The theory has been experimentally verified by electrochemical measurements of capacitance of adsorbed layers of nonionic surfactant Triton-X-100 and linoleic acid that have fractal structure. The experimental results, substantiating theoretical predictions, are presented and the influence of relevant parameters is discussed.

Item Type: Article
Uncontrolled Keywords: permittivity, capacitance, fractal dimension, adsorption, linoleic acid, AC voltametry
Subjects: NATURAL SCIENCES > Physics
NATURAL SCIENCES > Chemistry
Divisions: Division for Marine and Enviromental Research
Projects:
Project titleProject leaderProject codeProject type
Priroda i reaktivnost organskih tvari u moru i okolišuBožena Ćosović0098122UNSPECIFIED
Optičke interakcije i organizacijski procesi u materijiStjepan Lugomer0098029UNSPECIFIED
Depositing User: Blaženka Gašparović
Date Deposited: 04 Jul 2016 13:18
URI: http://fulir.irb.hr/id/eprint/2902
DOI: 10.1021/jp026192x

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