Permittivity of polycrystal: Laminar structure

0491088 - FZÚ 2019 RIV GB eng J - Journal Article
Rychetský, Ivan - Klíč, Antonín
Permittivity of polycrystal: Laminar structure.
Journal of the European Ceramic Society. Roč. 38, č. 8 (2018), s. 3020-3024. ISSN 0955-2219. E-ISSN 1873-619X
R&D Projects: GA ČR GA15-04121S
Institutional support: RVO:68378271
Keywords : polycrystal * effective medium * permittivity * mixing rules * dielectrics
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 4.029, year: 2018

A simple model of the laminar polycrystal is constructed that can be solved analytically and it also provides various mixing formulas. The polycrystal structure is composed of the layers, which represent rotated anisotropic crystallites. The dielectric response of such structure is much more complex comparing with the response of the layered structure built up of the isotropic materials. The general formal expressions for the effective permittivity were derived. The micro-geometry is determined by the distribution function of the crystal orientations. The effective permittivity can be controlled by variation of the distribution function. By discussing three examples it was shown that the uniform distribution of 2D rotations, as well as uniform 3D rotations, leads to the logarithmic-like mixing law of the effective permittivity.
Permanent Link: http://hdl.handle.net/11104/0285165