Temperature derivatives of the dynamic permittivity and permeability of the simple thickness modes of quartz plates

Proceedings of the 45th Annual Symposium on Frequency Control 1991

Mallikarjun³

et al.

Self Cite

Recently, the authors have presented calculations of the properties expected for doubly-rotated lithium tetraborate resonators. The loci of cuts possessing both first and second order temperature compensation for t h e simple thickness modes of plate resonators driven by thickness-directed electric fields were identified. Lithium tetraborate plates cut to the nominal orientations of these loci h a v e s i n c e b e e n obtained and measurements have been undertaken t o verify the predictions. The mode spectra, equivalent circuit parameters, and frequency-temperature behavior have been examined for the first, third, and fifth harmonics for all three simple thickness modes of the resonators. The observed values o f frequency c o n s t a n t s and piezocoupling are in good agreement with the p r e d i c t e d values. T h e measured temperature coefficients are less well in agreement with the predicted values.

Section: T -Behaviormentioning

confidence: 99%

A comparison of predicted and measured properties of doubly-rotated lithium tetraborate resonators

Proceedings of the 45th Annual Symposium on Frequency Control 1991

Mallikarjun³

et al.

Self Cite

Thermoelastic coefficients of alpha quartz

Gualtieri

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

1992

Experimental measurements of alpha quartz thermal expansion as reported in the literature have been critically analyzed. A recommended set of best measured values over the temperature range -50 degrees C to +150 degrees C have been determined, as have values for the coefficient of thermal linear expansion (CTE) and the thermoelastic coefficients. The impact of using the coefficients on determinations of quartz material temperature coefficients and on the calculation of temperature coefficients of frequency for the case of the AT-cut is discussed.

Measured properties of doubly rotated dilithium tetraborate (Li/sub 2/B/sub 4/BO/sub 7/) resonators and transducers

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

1993

Dilithium tetraborate plates, cut to the nominal angles of cut of (YXwl)40 degrees /33 degrees (TA-cut) and (YXwl)19 degrees /56 degrees (TC-cut), have been supplied by a crystal grower and have been processed into plate resonators. The mode spectra and electrical circuit parameters of the resonators have been examined for the fundamental, third, and fifth harmonics for all three thickness modes of the resonators. The observed values of frequency constants and piezoelectric coupling are in good agreement with the predicted values. The frequency-temperature behavior of the zero-temperature coefficient cuts has also been measured.