y軸回転新カット捩り水晶振動子

概要

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This paper describes new cuts for torsional mode quartz crystal resonators, which are called "TT(Y)-cut." The object of this paper is to propose new cuts for torsional quartz crystal resonators with a zero temperature coefficient and to clarify frequency constant, frequency temperature behavior and electrical equivalent circuit parameters for the typical cuts. First, we show a frequency equation that is given as a function of torsional rigidity C_t. Namely, the problem of a Vibration for torsional mode is substantially equivalent to that of torsional rigidity C_t, and it is obtained from stress function Ψ Which satisfies the boundary conditions. Next, from the frequency equation numerous relationships where α reaches zero are found to exist between thickness-to-width ratio R_zy and cut angle (φ,θ), especially, the second order temperature coefficient β has a small value of - 1.25×10_<-8>/℃^2 whose absolute value is approximately one third of the flexural mode quartz crystal resonators. The value of β is then compared with the measured data of - 1.00O / 1O-8/oC2. Finally, it is shown that torsional quartz crystal redonaiors of tuning fork-type are successful1y obtained With a dma1i Rl of 3.0 to 6.5 k Q and a large Q va1ue of 175,000 to 347,000 in a frequency range of about 300 to 600 kHz.
社団法人日本音響学会の論文