Effect of electrodes on force-frequency characteristics of rotated Y-cut quartz resonators
Yun Jing, Xun Gong, Jin Chen, Guiqiu Gong, De Zhang, Xiaoli Shang, Jun Xiong, Jie Duan
Graduate Program in Acoustics
The change in the resonance frequency of the thickness-shear vibration of rotated Y-cut quartz resonators using various electrode materials was studied. We used a three-dimensional finite element method to calculate the strain distribution of a circular plate and the electrodes under a pair of diametrical forces so that the anisotropy of the blank can be accurately considered. The relationship between mass-loading and force-frequency (F-f) characteristics is obtained for several types of electrode material. The results show that, for some electrode materials, the change in the F-f coefficients induced by the initial strain field distribution in the electrode through the third-order elastic constants is significant, but for others, the variations are small. We also find that the change is proportional to the thickness of the electrode. Furthermore, different materials have different effects. For most metals, such as gold, silver, copper, aluminum and nickel, with the increase in thickness, the F-f coefficient increase. However, for chromium, the increase in thickness may result in a lower F-f coefficient.
Japanese Journal of Applied Physics
https://doi.org/10.1143/JJAP.45.9167
Published - Dec 15 2006
10.1143/JJAP.45.9167
Dive into the research topics of 'Effect of electrodes on force-frequency characteristics of rotated Y-cut quartz resonators'. Together they form a unique fingerprint.
Quartz Engineering & Materials Science 100%
Resonators Engineering & Materials Science 84%
quartz Physics & Astronomy 78%
resonators Physics & Astronomy 67%
electrode materials Physics & Astronomy 63%
electrodes Physics & Astronomy 55%
coefficients Physics & Astronomy 29%
Jing, Y., Gong, X., Chen, J., Gong, G., Zhang, D., Shang, X., Xiong, J., & Duan, J. (2006). Effect of electrodes on force-frequency characteristics of rotated Y-cut quartz resonators. Japanese Journal of Applied Physics, 45(12), 9167-9171. https://doi.org/10.1143/JJAP.45.9167
Jing, Yun ; Gong, Xun ; Chen, Jin et al. / Effect of electrodes on force-frequency characteristics of rotated Y-cut quartz resonators. In: Japanese Journal of Applied Physics. 2006 ; Vol. 45, No. 12. pp. 9167-9171.
@article{02503d4907464ab883d47b26b34566db,
title = "Effect of electrodes on force-frequency characteristics of rotated Y-cut quartz resonators",
abstract = "The change in the resonance frequency of the thickness-shear vibration of rotated Y-cut quartz resonators using various electrode materials was studied. We used a three-dimensional finite element method to calculate the strain distribution of a circular plate and the electrodes under a pair of diametrical forces so that the anisotropy of the blank can be accurately considered. The relationship between mass-loading and force-frequency (F-f) characteristics is obtained for several types of electrode material. The results show that, for some electrode materials, the change in the F-f coefficients induced by the initial strain field distribution in the electrode through the third-order elastic constants is significant, but for others, the variations are small. We also find that the change is proportional to the thickness of the electrode. Furthermore, different materials have different effects. For most metals, such as gold, silver, copper, aluminum and nickel, with the increase in thickness, the F-f coefficient increase. However, for chromium, the increase in thickness may result in a lower F-f coefficient.",
author = "Yun Jing and Xun Gong and Jin Chen and Guiqiu Gong and De Zhang and Xiaoli Shang and Jun Xiong and Jie Duan",
doi = "10.1143/JJAP.45.9167",
journal = "Japanese Journal of Applied Physics",
Jing, Y, Gong, X, Chen, J, Gong, G, Zhang, D, Shang, X, Xiong, J & Duan, J 2006, 'Effect of electrodes on force-frequency characteristics of rotated Y-cut quartz resonators', Japanese Journal of Applied Physics, vol. 45, no. 12, pp. 9167-9171. https://doi.org/10.1143/JJAP.45.9167
Effect of electrodes on force-frequency characteristics of rotated Y-cut quartz resonators. / Jing, Yun; Gong, Xun; Chen, Jin et al.
In: Japanese Journal of Applied Physics, Vol. 45, No. 12, 15.12.2006, p. 9167-9171.
T1 - Effect of electrodes on force-frequency characteristics of rotated Y-cut quartz resonators
AU - Jing, Yun
AU - Gong, Xun
AU - Chen, Jin
AU - Gong, Guiqiu
AU - Zhang, De
AU - Shang, Xiaoli
AU - Xiong, Jun
AU - Duan, Jie
N2 - The change in the resonance frequency of the thickness-shear vibration of rotated Y-cut quartz resonators using various electrode materials was studied. We used a three-dimensional finite element method to calculate the strain distribution of a circular plate and the electrodes under a pair of diametrical forces so that the anisotropy of the blank can be accurately considered. The relationship between mass-loading and force-frequency (F-f) characteristics is obtained for several types of electrode material. The results show that, for some electrode materials, the change in the F-f coefficients induced by the initial strain field distribution in the electrode through the third-order elastic constants is significant, but for others, the variations are small. We also find that the change is proportional to the thickness of the electrode. Furthermore, different materials have different effects. For most metals, such as gold, silver, copper, aluminum and nickel, with the increase in thickness, the F-f coefficient increase. However, for chromium, the increase in thickness may result in a lower F-f coefficient.
AB - The change in the resonance frequency of the thickness-shear vibration of rotated Y-cut quartz resonators using various electrode materials was studied. We used a three-dimensional finite element method to calculate the strain distribution of a circular plate and the electrodes under a pair of diametrical forces so that the anisotropy of the blank can be accurately considered. The relationship between mass-loading and force-frequency (F-f) characteristics is obtained for several types of electrode material. The results show that, for some electrode materials, the change in the F-f coefficients induced by the initial strain field distribution in the electrode through the third-order elastic constants is significant, but for others, the variations are small. We also find that the change is proportional to the thickness of the electrode. Furthermore, different materials have different effects. For most metals, such as gold, silver, copper, aluminum and nickel, with the increase in thickness, the F-f coefficient increase. However, for chromium, the increase in thickness may result in a lower F-f coefficient.
U2 - 10.1143/JJAP.45.9167
DO - 10.1143/JJAP.45.9167
JO - Japanese Journal of Applied Physics
JF - Japanese Journal of Applied Physics
Jing Y, Gong X, Chen J, Gong G, Zhang D, Shang X et al. Effect of electrodes on force-frequency characteristics of rotated Y-cut quartz resonators. Japanese Journal of Applied Physics. 2006 Dec 15;45(12):9167-9171. doi: 10.1143/JJAP.45.9167