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

This paper brings out 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 within the very useful cryogenic range [4 K–15 K] from a set of resonators of various cut angles, because of the anisotropy of quartz.