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Properties of AT Quartz Resonators on Wedgy Plates,
MOTOROLA INC SCHAUMBURG IL
It is well known in the quartz literature that non-parallel plate surfaces will cause deterioration in the performance of AT resonators. This deterioration consists of a decrease in the motional capacitance of the resonators desired operating mode, often without a corresponding decrease in the motional capacitances of observed spurious modes. A model was developed for thickness-shear vibrations of a heavily electroded rectangular AT plate, assuming a small linear thickness variation wedginess across the plate. The model predicts that the standing waves corresponding to the different an harmonic overtone modes of vibration will bunch up in the thicker region of the plate. Higher order an harmonic modes will be less affected by the wedginess that will lower order an harmonics. The observed consequence of this behavior is that the motional capacitance of the lowest mode the desired operating mode will deteriorate, while the motional capacitances of the higher order modes spurious modes may not deteriorate at all. Author
This article is from the Proceedings of the Annual Symposium on Frequency Control (37th), 1-3 Jun 83, Marriott Hotel, Philadelphia, Pennsylvania, AD-A136 673, p232-238.