Linear combinations of the third-order elastic and piezoelectric constants of quartz

摘要

The DC-field-induced change in the resonant frequency of the extentional mode of quartz rods is related to the third-order elastic and the third-order piezoelectric constants. Five linear combinations of these constants are determined by least-squares fit to data obtained from 50 different rods. The results are notable for their small standard errors of about two percent on average. They also agree very well with the values obtained independently by the transit-time method.