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Quasi–Lamé–Mode Quartz–Crystal Resonators

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In this paper, quasi-Lamé-mode quartz-crystal resonators formed by etching processes are examined theoretically and experimentally. First, the frequency equation for a Y-plate quartz-crystal resonator is derived by the energy method. Then, the relationship between the cut angles φy and θy to vibrate the quasi-Lamé mode is investigated. There are many combinations of φy and θy for which the first-order temperature coefficient α becomes zero. Finally, it is theoretically and experimentally demonstrated that the temperature characteristics of a Y-plate quasi-Lamé-mode quartz-crystal resonator is superior to that of a pure-Lamé-mode resonator.
Title: Quasi–Lamé–Mode Quartz–Crystal Resonators
Description:
In this paper, quasi-Lamé-mode quartz-crystal resonators formed by etching processes are examined theoretically and experimentally.
First, the frequency equation for a Y-plate quartz-crystal resonator is derived by the energy method.
Then, the relationship between the cut angles φy and θy to vibrate the quasi-Lamé mode is investigated.
There are many combinations of φy and θy for which the first-order temperature coefficient α becomes zero.
Finally, it is theoretically and experimentally demonstrated that the temperature characteristics of a Y-plate quasi-Lamé-mode quartz-crystal resonator is superior to that of a pure-Lamé-mode resonator.

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