Temperature coefficients of quartz at cryogenic temperature

Abstract

The temperature coefficients of the elastic coefficients of quartz within [4 K, 15 K], the operating range of conventional cryocoolers, are predicted from experimental data. The raw data consist of a set of frequency-temperature curves recorded from bulk acoustic wave resonators made in different plates cut according to various angles relative to the crystallographic axes. Raw data are then processed as described in the paper to provide the 1 st , 2 nd , and 3 rd order temperature coefficients of the seven elastic coefficients of quartz crystal.