Reliable frequency-temperature characteristics of the new quartz-crystal resonators vibrating in thickness-shear modes

1994 ◽  
Vol 40 (2) ◽  
pp. 97-101 ◽  
Author(s):  
Makoto Takeuchi ◽  
Mitsuo Nakazawa ◽  
Hiroshi Matsuzaka ◽  
Toyosaka Moriizumi ◽  
Hiro-o Niiyama
Coatings ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 667
Author(s):  
Han Zhang ◽  
Yumei Chen ◽  
Ji Wang

A procedure based on approximate solutions of three-dimensional equations of wave propagation is utilized for calculating Bechmann’s number for the harmonic overtones of thickness-shear modes in the rotated Y-cut quartz crystal plates. Bechmann’s number is used for the optimization and improvement of electrodes to yield superior performance in the design of quartz crystal resonators. Originally, Bechmann’s number is found through practical experiences, and analytical results were provided afterward to enable optimal design of novel resonator structures. The outcomes in this study are from a simplified theoretical prediction and they are consistent with known empirical results, making it is possible to design optimal quartz crystal resonators for cases without adequate experimental data for a higher frequency and smaller size.


2011 ◽  
Vol 20 (4) ◽  
pp. 047701 ◽  
Author(s):  
Ting-Feng Ma ◽  
Chao Zhang ◽  
Xiao-Ning Jiang ◽  
Guan-Ping Feng

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