A novel fractal model for grain boundary regions of ceramic materials was developed. The model considers laterally inhomogeneous distribution of charge carriers in the vicinity of grain boundaries as the main cause of the non-Debye behaviour and distribution of relaxation times in ceramic materials. Considering the equivalent circuit the impedance of the grain boundary region was expressed. It was shown that the impedance of the grain boundary region has the form of the Davidson-Cole equation. The fractal dimension of the inhomogeneous distribution of charge carriers in the region close to the grain boundaries could be calculated based on the relation d(s) = 1 + beta, where beta is the constant from the Davidson-Cole equation.
TY - JOUR
AU - Branković, Goran
AU - Branković, Zorica
AU - Jović, Vladimir D
AU - Varela, JA
PY - 2001
UR - http://rimsi.imsi.bg.ac.rs/handle/123456789/62
AB - A novel fractal model for grain boundary regions of ceramic materials was developed. The model considers laterally inhomogeneous distribution of charge carriers in the vicinity of grain boundaries as the main cause of the non-Debye behaviour and distribution of relaxation times in ceramic materials. Considering the equivalent circuit the impedance of the grain boundary region was expressed. It was shown that the impedance of the grain boundary region has the form of the Davidson-Cole equation. The fractal dimension of the inhomogeneous distribution of charge carriers in the region close to the grain boundaries could be calculated based on the relation d(s) = 1 + beta, where beta is the constant from the Davidson-Cole equation.
PB - Kluwer Academic Publ, Dordrecht
T2 - Journal of Electroceramics
T1 - Fractal approach to ac impedance spectroscopy studies of ceramic materials
EP - 94
IS - 2
SP - 89
VL - 7
DO - 10.1023/A:1013166204618
ER -
@article{
author = "Branković, Goran and Branković, Zorica and Jović, Vladimir D and Varela, JA",
year = "2001",
abstract = "A novel fractal model for grain boundary regions of ceramic materials was developed. The model considers laterally inhomogeneous distribution of charge carriers in the vicinity of grain boundaries as the main cause of the non-Debye behaviour and distribution of relaxation times in ceramic materials. Considering the equivalent circuit the impedance of the grain boundary region was expressed. It was shown that the impedance of the grain boundary region has the form of the Davidson-Cole equation. The fractal dimension of the inhomogeneous distribution of charge carriers in the region close to the grain boundaries could be calculated based on the relation d(s) = 1 + beta, where beta is the constant from the Davidson-Cole equation.",
publisher = "Kluwer Academic Publ, Dordrecht",
journal = "Journal of Electroceramics",
title = "Fractal approach to ac impedance spectroscopy studies of ceramic materials",
pages = "94-89",
number = "2",
volume = "7",
doi = "10.1023/A:1013166204618"
}
Branković, G., Branković, Z., Jović, V. D.,& Varela, J.. (2001). Fractal approach to ac impedance spectroscopy studies of ceramic materials. in Journal of Electroceramics
Kluwer Academic Publ, Dordrecht., 7(2), 89-94.
https://doi.org/10.1023/A:1013166204618
Branković G, Branković Z, Jović VD, Varela J. Fractal approach to ac impedance spectroscopy studies of ceramic materials. in Journal of Electroceramics. 2001;7(2):89-94.
doi:10.1023/A:1013166204618 .
Branković, Goran, Branković, Zorica, Jović, Vladimir D, Varela, JA, "Fractal approach to ac impedance spectroscopy studies of ceramic materials" in Journal of Electroceramics, 7, no. 2 (2001):89-94,
https://doi.org/10.1023/A:1013166204618 . .
