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Journal of Materials Science

, Volume 41, Issue 19, pp 6193–6197 | Cite as

Temperature dependence of fractal dimension of grain boundary region in SnO2 based ceramics

  • Goran Branković
  • Zorica Branković
  • Daniela Russo Leite
  • José Arana Varela
Article

Abstract

Fractal dimensions of grain boundary region in doped SnO2 ceramics were determined based on previously derived fractal model. This model considers fractal dimension as a measure of homogeneity of distribution of charge carriers. Application of the derived fractal model enables calculation of fractal dimension using results of impedance spectroscopy. The model was verified by experimentally determined temperature dependence of the fractal dimension of SnO2 ceramics. Obtained results confirm that the non-Debye response of the grain boundary region is connected with distribution of defects and consequently with a homogeneity of a distribution of the charge carriers. Also, it was found that CT−1 function has maximum at temperature at which the change in dominant type of defects takes place. This effect could be considered as a third-order transition.

Keywords

SnO2 Charge Carrier Fractal Dimension Boundary Region Fractal Model 

Notes

Acknowledgments

This work was financially supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) through the projects number 99/06470-0, 00/09818-6 and 02/01403-7, and by the Ministry for Science and Environmental Protection of Republic of Serbia.

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Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  • Goran Branković
    • 1
  • Zorica Branković
    • 1
  • Daniela Russo Leite
    • 2
  • José Arana Varela
    • 2
  1. 1.Center for Multidisciplinary, Studies of University of BelgradeBelgradeSerbia
  2. 2.Instituto de QuimicaUNESPAraraquaraBrasil

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