Correlation Between Temperature Coefficient of Resonant Frequency and Tetragonality Ratio

doi:10.1111/j.1551-2916.2005.00841.x

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Wiley InterScience

Journal of the American Ceramic Society

Volume 89 Issue 3, Pages 1144 - 1146

Published Online: 24 Jan 2006

Published on behalf of the American Ceramic Society (ACerS)

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Correlation Between Temperature Coefficient of Resonant Frequency and Tetragonality Ratio

Ji-Won Choi ¹ ^† ^‡ and R. B. van Dover ²

¹ Thin Film Materials Research Center, Korea Institute of Science and Technology, Seoul 130-650, Korea
² Department of Materials Science and Engineering, Cornell University, Ithaca, New York 14853

^†Author to whom correspondence should be addressed. e-mail: jwchoi@kist.re.kr

I. M. Reaney—contributing editor

^‡Department of Materials Science and Engineering, Cornell University, Ithaca, New York.

ABSTRACT

We show that the temperature coefficient of the resonant frequency of the tetragonal ceramics, τ_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 u. As the c/a ratio approaches its ideal value, the value of u also approaches its ideal value and the distortion of the oxygen octahedral decreases, leading to an increase of τ_f to a positive value. Theses relations were confirmed by experimental measurements using three dielectric compositions, with varying c/a ratio near ideal.