Correlation between temperature coefficient of resonant frequency and tetragonality ratio

Abstract

We show that the temperature coefficient of the resonant frequency of the tetragonal ceramics, tau(f), correlates to the measured tetragonality ratio (c/a). This is based on a previously established relation between c/a and the oxygen positional parameter it. As the c/a ratio approaches its ideal value, the value of it also approaches its ideal value and the distortion of the oxygen octahedral decreases, leading to an increase of tau(f) to a positive value. Theses relations were confirmed by experimental measurements using three dielectric compositions, with varying c/a ratio near ideal.