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 C-T-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:
fractals / grain boundaries / varistors
Source:
Journal of Materials Science, 2006, 41, 19, 6193-6197
TY - JOUR
AU - Branković, Goran
AU - Branković, Zorica
AU - Leite, Daniela Russo
AU - Varela, JA
PY - 2006
UR - http://rimsi.imsi.bg.ac.rs/handle/123456789/172
AB - 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 C-T-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.
PB - Springer, New York
T2 - Journal of Materials Science
T1 - Temperature dependence of fractal dimension of grain boundary region in SnO2 based ceramics
EP - 6197
IS - 19
SP - 6193
VL - 41
DO - 10.1007/s10853-006-0361-8
ER -
@article{
author = "Branković, Goran and Branković, Zorica and Leite, Daniela Russo and Varela, JA",
year = "2006",
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 C-T-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.",
publisher = "Springer, New York",
journal = "Journal of Materials Science",
title = "Temperature dependence of fractal dimension of grain boundary region in SnO2 based ceramics",
pages = "6197-6193",
number = "19",
volume = "41",
doi = "10.1007/s10853-006-0361-8"
}
Branković, G., Branković, Z., Leite, D. R.,& Varela, J.. (2006). Temperature dependence of fractal dimension of grain boundary region in SnO2 based ceramics. in Journal of Materials Science
Springer, New York., 41(19), 6193-6197.
https://doi.org/10.1007/s10853-006-0361-8
Branković G, Branković Z, Leite DR, Varela J. Temperature dependence of fractal dimension of grain boundary region in SnO2 based ceramics. in Journal of Materials Science. 2006;41(19):6193-6197.
doi:10.1007/s10853-006-0361-8 .
Branković, Goran, Branković, Zorica, Leite, Daniela Russo, Varela, JA, "Temperature dependence of fractal dimension of grain boundary region in SnO2 based ceramics" in Journal of Materials Science, 41, no. 19 (2006):6193-6197,
https://doi.org/10.1007/s10853-006-0361-8 . .
