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

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.