Clausius–Mossotti relation fractal modification

Clausius–Mossotti relation fractal modification
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Clausius-Mossotti 关系分形修正

DOI:
10.1080/00150193.2018.1528926
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发表时间:
2018
期刊:
影响因子:
0.8
通讯作者:
Vlahović, Branislav
Vlahović, Branislav
中科院分区:
材料科学4区
文献类型:
--
作者:
Mitić, Vojislav V.;Paunović, Vesna;Lazović, Goran;Kocić, Ljubiša;Vlahović, Branislav

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采用Clausius-Mossotti关系(CMR)研究了掺杂BaTiO 3陶瓷的微观结构特征和介电性能。采用常规固相法制备了掺杂BaTiO 3陶瓷样品,并在1290 °C ~ 1320 °C烧结。通过配备EDS系统的SEM进行微观结构和组成研究。利用Clausius-Mossotti关系阐明了掺杂对BaTiO 3介电性能和相变的影响。居里参数(C,Tc)通过使用居里-外斯定律计算。同时,将分形理论应用于微结构重构,提出了一种基于分形性质分析(晶粒形状、孔隙和晶间接触)的掺杂BaTiO_3微结构与介电性能相关性的新方法。这包括将颗粒表面即孔隙表面重建为适当分形曲线的张量积。将颗粒的混沌运动轨迹看作布朗运动,并将其分形线性化。颗粒表面、孔隙表面和颗粒运动的分形性引入了三个分形因子。我们假设BaTiO_3-陶瓷的工作温度必然受到陶瓷材料分形的影响,这三个分形因子,是对Clausius-Mossotti关系式中出现的理论温度即Curie-Weiss定律的修正。
The microstructure characteristic and dielectric properties of doped BaTiO3-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 BaTiO3ceramics 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 BaTiO3phase 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 BaTiO3based 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 BaTiO3-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.
DOI: --
发表时间: 2007
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影响因子: --
作者:
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铁电体中的介电居里-维斯定律和扩散相变
DOI: 10.1016/0025-5408(83)90117-4
发表时间: 1983
影响因子: 5.4
作者:
G. H. Jonker
通讯作者: G. H. Jonker
稀土掺杂BaTiO3陶瓷的微观结构和介电性能
DOI: --
发表时间: 2014
期刊:
影响因子: --
作者:
V. Mitić;V. Paunovic;V. Pavlović
通讯作者: V. Pavlović