Determination of the third-order piezoelectric constants and electrostriction of alpha quartz using the thickness modes of plates

The linear combinations of the fundamental material constants of third-order piezoelectricity and electrostriction of quartz have been determined; they were obtained by the last-squares fit to over 100 observations of the changes in the resonance frequency of the thickness modes of quartz plates caused by a DC field (the resonator method). With one exception, there is a very good agreement between the present results and their counterparts obtained independently by the transit-time method (pulse propagation in bulk quartz); the differences between comparable constants are no longer out of proportion with their standard errors.<>