Title :
Thermal sensitivity of elastic coefficients of langasite and langatate
Author :
Bourquin, Roger ; Dulmet, Bernard
Author_Institution :
Freq. & Time Dept., Ecole Nat. Super. de Mec. et des Microtech., Besancon, France
fDate :
10/1/2009 12:00:00 AM
Abstract :
Thermal coefficients of elastic constants of langasite and langatate crystals have been determined from frequency-temperature curves of contoured resonators operating in thickness modes. The effect of the trapping of the vibration has been taken into account to improve the accuracy. In a first step, the thermal sensitivities of stiffness coefficients in Lagrangian description are obtained. Thermal sensitivities of the usual elastic constants are further deduced. Predictions of thermally compensated cuts are given.
Keywords :
crystal resonators; elastic constants; gallium compounds; lanthanum compounds; piezoelectric materials; vibrational modes; LaGaSiO; LaGaTaO; Lagrangian description; contoured resonators; elastic coefficients; elastic constants; langasite crystal; langatate crystal; stiffness coefficients; thermal coefficients; thermal sensitivity; vibration trapping; Crystals; Frequency; Lagrangian functions;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2009.1291
