Clausius–Mossotti relation fractal modification
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 productSource:
Ferroelectrics, 2018, 536, 1, 60-76Publisher:
- Taylor and Francis Inc.
Funding / projects:
DOI: 10.1080/00150193.2018.1528926
ISSN: 0015-0193
WoS: 000461668100002
Scopus: 2-s2.0-85063152145
Institution/Community
Институт техничких наука САНУ / Institute of Technical Sciences of SASATY - JOUR AU - Mitić, Vojislav V. AU - Paunović, Vesna AU - Lazović, Goran AU - Kocić, Ljubi[a AU - Vlahović, Branislav PY - 2018 UR - https://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 UR - https://hdl.handle.net/21.15107/rcub_dais_5465 ER -
@article{ author = "Mitić, Vojislav V. and Paunović, Vesna and Lazović, Goran and Kocić, Ljubi[a and Vlahović, Branislav", year = "2018", 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", url = "https://hdl.handle.net/21.15107/rcub_dais_5465" }
Mitić, V. V., Paunović, V., Lazović, G., Kocić, L.,& Vlahović, B.. (2018). Clausius–Mossotti relation fractal modification. in Ferroelectrics Taylor and Francis Inc.., 536(1), 60-76. https://doi.org/10.1080/00150193.2018.1528926 https://hdl.handle.net/21.15107/rcub_dais_5465
Mitić VV, Paunović V, Lazović G, Kocić L, Vlahović B. Clausius–Mossotti relation fractal modification. in Ferroelectrics. 2018;536(1):60-76. doi:10.1080/00150193.2018.1528926 https://hdl.handle.net/21.15107/rcub_dais_5465 .
Mitić, Vojislav V., Paunović, Vesna, Lazović, Goran, Kocić, Ljubi[a, Vlahović, Branislav, "Clausius–Mossotti relation fractal modification" in Ferroelectrics, 536, no. 1 (2018):60-76, https://doi.org/10.1080/00150193.2018.1528926 ., https://hdl.handle.net/21.15107/rcub_dais_5465 .