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arXiv · 1607.04584

Temperature coefficients of crystalline-quartz elastic constants over the cryogenic range [4 K, 15 K]

Jérémy Bon·Serge Galliou·Roger Bourquin
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Abstract

This paper brings out results of a measurement campaign aiming to determine the temperature coefficients of synthetic quartz elastic constants at liquid helium temperature. The method is based on the relationship between the resonance frequencies of a quartz acoustic cavity and the elastic constants of the material. The temperature coefficients of the elastic constants are extracted from experimental frequency-temperature data collected from a set of resonators of various cut angles, because of the anisotropy of quartz, measured on the very useful cryogenic range [4 K - 15 K]. The knowledge of these temperature coefficients would allow to further design either quartz temperature sensors or conversely frequency-temperature compensated quartz cuts. With extremely low losses, lower than $10^{-9}$ for the best ones, key applications of such devices are ultra-low loss mechanical systems used in many research areas including frequency control and fundamental measurements. The Eulerian formalism is used in this study to identify the temperature coefficients.

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Jérémy Bon, Serge Galliou, Roger Bourquin. 2016-07-15. Temperature coefficients of crystalline-quartz elastic constants over the cryogenic range [4 K, 15 K]. https://doi.org/10.1063/1.4971335

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