Calculation on the permittivity of the wollastonite ceramic matrix

Wollastonite ceramic matrix composites are multi-materials including the crystalline wollastonite and the residual glass phases. The relative permittivity (simplified as permittivity) of the crystalline wollastonite is used to evaluate the dielectric properties of the wollastonite ceramic matrix. Usually, the permittivity of the crystalline wollastonite is estimated to be 8.6, however, the residual glasses in wollastonite ceramic matrix are often unknown. In this study, the Clausius–Mosotti model is utilized to calculate the permittivity of the crystalline wollastonite from molecular polarizability. Molecular polarizabilities as the crystalline wollastonite polarizability are calculated by the ionic and oxide additivity rules. The permittivity of prepared glasses is used instead of that of the remaining glasses and estimated to 4.65. The composite permittivity of the wollastonite ceramic matrix is calculated by Lichnetecker logarithm rules. Compared with measurements, the calculated permittivity of wollastonite ceramic matrix corresponds well with measurements. The application of this simple calculation technique allows the assessment of the relative permittivity for ceramic matrix.

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