Redetermination of the Elastic, Piezoelectric and Dielectric Constants of Quartz and Their Variation with Temperature.

摘要

This is the final report on the analytical work required for the redetermination of the elastic, piezoelectric and dielectric constants of quartz and the temperature derivatives of the effective constants. Analyses are presented for both thickness excitation and lateral excitation of pure thickness vibrations, and the results are specialized to doubly-rotated, singly-rotated an unrotated cuts of quartz. It is shown that all elastic constants can be obtained from measurements using lateral excitation of unrotated cuts and one rotated y-cut. Simple relations are provided for the determination of the piezoelectric and dielectric constants from the measurement of the fundamental and third harmonic resonant frequencies of thickness excited thickness vibrations. An analysis for the perturbation of pure thickness vibrations is presented for both the cases of thickness excitation and lateral excitation, and the results are specialized to doubly-rotated, singly-rotated and unrotated cuts of quartz. (RRH)