Novel Cuts of Triply-Rotated Quartz Crystal for Resonators With Ideal Cubic Frequency-Temperature Relations

Shao-yun Wang, Longtao Xie, Liang-meng Zhang, R. Wu, Jianke Du, Ji Wang
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Abstract

A systematic method of searching novel cuts of quartz crystal is proposed to explain the discovery of the existing cuts including AT- and SC-cut, and a few popular cuts in products on market. It is also found that some curves on which the cuts have the same frequency-temperature relation as that of the AT- and SC-cut quartz resonators and the inflection temperature cover a quite wide range. Finally, using this method, we found a novel cut whose frequency-temperature relation is much better than the AT- and SC-cut quartz crystal resonators. The temperature range that the absolute value of frequency shifts is smaller than 10ppm for this novel cut from −70°C to 130°C and the frequency constant is 35% higher than the AT-cut resonator.
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具有理想三次频率-温度关系的谐振器的新型三旋转石英晶体切割
提出了一种系统的搜索石英晶体新切割的方法,以解释现有切割的发现,包括AT和sc切割,以及市场上一些流行的产品切割。还发现,切割的一些曲线与AT和sc切割的石英谐振器具有相同的频率-温度关系,并且弯曲温度覆盖相当宽的范围。最后,利用这种方法,我们发现了一种新型的切割,其频率-温度关系比AT和sc切割的石英晶体谐振器好得多。在−70°C到130°C的温度范围内,这种新型切割器的频移绝对值小于10ppm,频率常数比at切割谐振器高35%。
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