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Clausius–Mossotti relation fractal modification

Authorized Users Only
2018
Authors
Mitić, Vojislav V.
Paunović, Vesna
Lazović, Goran
Kocić, Ljubi[a
Vlahović, Branislav
Article (Published version)
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Abstract
The microstructure characteristic and dielectric properties of doped BaTiO 3 -ceramics were investigated in the light of the Clausius–Mossotti relation (CMR) which incorporates both the Curie and Curie–Weiss Laws. The samples of doped BaTiO 3 ceramics were prepared using conventional solid state procedure and sintered from 1290 °C to 1320 °C. Microstructural and compositional studies were performed by SEM equipped with EDS system. The Clausius–Mossotti relation is used to clarify the influence of dopant on the dielectric properties and BaTiO 3 phase transformation. Curie parameters (C, Tc) were calculated by using a Curie–Weiss law. Also, a new approach on correlation between microstructure and dielectric properties of doped BaTiO 3 based on fractal nature analysis (grains shapes, pores and intergranular contacts) have been developed, by using fractals in microstructure configurations reconstruction. This includes reconstruction of grain surface i.e. pore surface as tensor product of a...ppropriate fractal curves. Particles chaotic motion trajectories is considered as Brownian motion which is then linearized in fractal manner. Fractality of grain surface, pore surface and particle motion introduce three fractal factors. Our hypothesis is that working temperature of BaTiO 3 -ceramics must be influenced by ceramics material fractality; these three fractality factors, appear as a correction of theoretic temperature appearing in Clausius–Mossotti relation i.e. Curie–Weiss law. © 2018, © 2018 Taylor & Francis Group, LLC.

Keywords:
BaTiO3-ceramics / Clausius–Mossotti relation / fractals / tensors product
Source:
Ferroelectrics, 2018, 536, 1, 60-76
Publisher:
  • Taylor and Francis Inc.
Projects:
  • Directed synthesis, structure and properties of multifunctional materials (RS-172057)

DOI: 10.1080/00150193.2018.1528926

ISSN: 0015-0193

WoS: 000461668100002

Scopus: 2-s2.0-85063152145
[ Google Scholar ]
4
4
URI
http://dais.sanu.ac.rs/123456789/5465
Collections
  • ITN SANU - Opšta kolekcija / ITS SASA - General collection
Institution
Институт техничких наука САНУ / Institute of Technical Sciences of SASA
TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Paunović, Vesna
AU  - Lazović, Goran
AU  - Kocić, Ljubi[a
AU  - Vlahović, Branislav
PY  - 2018
UR  - http://dais.sanu.ac.rs/123456789/5465
AB  - The microstructure characteristic and dielectric properties of doped BaTiO 3 -ceramics were investigated in the light of the Clausius–Mossotti relation (CMR) which incorporates both the Curie and Curie–Weiss Laws. The samples of doped BaTiO 3 ceramics were prepared using conventional solid state procedure and sintered from 1290 °C to 1320 °C. Microstructural and compositional studies were performed by SEM equipped with EDS system. The Clausius–Mossotti relation is used to clarify the influence of dopant on the dielectric properties and BaTiO 3 phase transformation. Curie parameters (C, Tc) were calculated by using a Curie–Weiss law. Also, a new approach on correlation between microstructure and dielectric properties of doped BaTiO 3 based on fractal nature analysis (grains shapes, pores and intergranular contacts) have been developed, by using fractals in microstructure configurations reconstruction. This includes reconstruction of grain surface i.e. pore surface as tensor product of appropriate fractal curves. Particles chaotic motion trajectories is considered as Brownian motion which is then linearized in fractal manner. Fractality of grain surface, pore surface and particle motion introduce three fractal factors. Our hypothesis is that working temperature of BaTiO 3 -ceramics must be influenced by ceramics material fractality; these three fractality factors, appear as a correction of theoretic temperature appearing in Clausius–Mossotti relation i.e. Curie–Weiss law. © 2018, © 2018 Taylor & Francis Group, LLC.
PB  - Taylor and Francis Inc.
T2  - Ferroelectrics
T1  - Clausius–Mossotti relation fractal modification
SP  - 60
EP  - 76
VL  - 536
IS  - 1
DO  - 10.1080/00150193.2018.1528926
ER  - 
@article{
author = "Mitić, Vojislav V. and Paunović, Vesna and Lazović, Goran and Kocić, Ljubi[a and Vlahović, Branislav",
year = "2018",
url = "http://dais.sanu.ac.rs/123456789/5465",
abstract = "The microstructure characteristic and dielectric properties of doped BaTiO 3 -ceramics were investigated in the light of the Clausius–Mossotti relation (CMR) which incorporates both the Curie and Curie–Weiss Laws. The samples of doped BaTiO 3 ceramics were prepared using conventional solid state procedure and sintered from 1290 °C to 1320 °C. Microstructural and compositional studies were performed by SEM equipped with EDS system. The Clausius–Mossotti relation is used to clarify the influence of dopant on the dielectric properties and BaTiO 3 phase transformation. Curie parameters (C, Tc) were calculated by using a Curie–Weiss law. Also, a new approach on correlation between microstructure and dielectric properties of doped BaTiO 3 based on fractal nature analysis (grains shapes, pores and intergranular contacts) have been developed, by using fractals in microstructure configurations reconstruction. This includes reconstruction of grain surface i.e. pore surface as tensor product of appropriate fractal curves. Particles chaotic motion trajectories is considered as Brownian motion which is then linearized in fractal manner. Fractality of grain surface, pore surface and particle motion introduce three fractal factors. Our hypothesis is that working temperature of BaTiO 3 -ceramics must be influenced by ceramics material fractality; these three fractality factors, appear as a correction of theoretic temperature appearing in Clausius–Mossotti relation i.e. Curie–Weiss law. © 2018, © 2018 Taylor & Francis Group, LLC.",
publisher = "Taylor and Francis Inc.",
journal = "Ferroelectrics",
title = "Clausius–Mossotti relation fractal modification",
pages = "60-76",
volume = "536",
number = "1",
doi = "10.1080/00150193.2018.1528926"
}
Mitić VV, Paunović V, Lazović G, Kocić L, Vlahović B. Clausius–Mossotti relation fractal modification. Ferroelectrics. 2018;536(1):60-76
Mitić, V. V., Paunović, V., Lazović, G., Kocić, L.,& Vlahović, B. (2018). Clausius–Mossotti relation fractal modification.
FerroelectricsTaylor and Francis Inc.., 536(1), 60-76. 
https://doi.org/10.1080/00150193.2018.1528926
Mitić Vojislav V., Paunović Vesna, Lazović Goran, Kocić Ljubi[a, Vlahović Branislav, "Clausius–Mossotti relation fractal modification" 536, no. 1 (2018):60-76,
https://doi.org/10.1080/00150193.2018.1528926 .

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