著者

川島 宏文 中里 光弘

出版者

一般社団法人 日本時計学会

雑誌

日本時計学会誌 (ISSN:00290416)

巻号頁・発行日

vol.149, pp.21-32, 1994

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This paper describes new cuts for torsional mode quartz crystal resonators, which are designated "TT-Cut" classified into "TT(X_1)-Cut" and "TT(X_2)-Cut". The objective of this paper is propose a new cut for torsional quartz crystal resonators and to clarify its frequency characteristics, frequency temperature behavior and electrical equivalent circuit parameters. First, a frequency equation of a resonator vibrating in torsion is shown. Since a torsion problem is equivalent to solving a torsional rigidity C_t, the derivative procedure of C_t is described in detail. The calculated results are then compared with the measured data of tuning fork-type, so that the present resonators are found to be successfully obtained with a frequency of about 400kHz and the second order temperature coefficient β of approximately one third of the flexural quartz crystal resonators.