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The influence of the radius of the contour on the orientation of the zero-temperature contoured SC-cut quartz resonator

机译:轮廓半径对零温轮廓SC切割石英谐振器取向的影响

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On account of small inaccuracies in the measured temperature derivatives of the elastic constants of quartz, only the nominal phi and theta angles of zero-temperature cut quartz resonators can be calculated. In previous work, the correction to the nominal phi angle was obtained from measurements on the third overtone of a contoured SC-cut quartz resonator at 25 degrees C. The correction reported for the phi angle was 48.3'. The errors are corrected, and the revised calculation shows that not only do the magnitudes of the angles change, but also the signs. This is in conformity with measurement. Similarly, both the magnitude and sign of the temperature derivative of the effective piezoelectric constant for the C-mode differ from the earlier incorrect value. The calculations also show that the change in orientation with the radius of the contour for the third and fifth harmonic is significant in the SC cut as well as the fundamental.
机译:由于石英弹性常数的测量温度导数中的微小误差,因此只能计算零温度截止石英谐振器的标称phi和theta角。在以前的工作中,对标称phi角的校正是通过在25摄氏度下对轮廓化的SC切割石英谐振器的第三泛音进行测量获得的。所报告的phi角校正为48.3'。误差已得到纠正,修正后的计算结果表明,不仅角度的大小发生了变化,而且符号也发生了变化。这与测量一致。同样,C模式下有效压电常数的温度导数的大小和符号都与先前的不正确值不同。计算还表明,三次谐波和五次谐波的方向随轮廓半径的变化在SC切削以及基波中均很重要。

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