On the Oscillating Behaviors of Piezoelectric Quartz Crystal in Aqueous Electrolyte Solutions—Frequency and Frequency Shift

Abstract

Abstract: Based on the equivalent circuit model of a piezoelectric crystal with both sides of electrodes immersed in liquid and the solution of the oscillating equation of Pierce oscillator, the relationship formula between the crystal oscillation frequency in electrolyte solution (F₁) and the specific conductance of the solution (K) is derived as follows, F_l=(1/2π)(1/C₁+1/C₂)(1/X_e)[θ²(R_e²+X_e²)K²+2θR_ex+1]. The validity of the F_l-x relationship is demonstrated in KCl and Na₂SO₄ aqueous solutions.

Key words: Piezoelectric crystal, Equivalent circuit, Electrolyte solution, Oscillation frequency

TrendMD:

Zhou Tiean, Zhang Wenjlu, Nie Lihua, Yao Shouzhou . On the Oscillating Behaviors of Piezoelectric Quartz Crystal in Aqueous Electrolyte Solutions—Frequency and Frequency Shift[J]. Chem. J. Chinese Universities, 1990, 11(2): 176.

[1]	WANG Xingfan, ZHOU Huan, ZHOU Kuo, JIN Fenli, YANG Junfang. Comprehensive Thermodynamic Model and Polythermal Phase Diagram Prediction of Nitrate Type Brine Systems [J]. Chem. J. Chinese Universities, 2021, 42(10): 3175.
[2]	LI Long, ZHANG Sisi, LIU Yuanhui, GUO Yafei, DENG Tianlong. Heat Capacities and Ion-interaction of Lithium Tetraborate Aqueous Solution System^† [J]. Chem. J. Chinese Universities, 2016, 37(2): 349.
[3]	DONG Yunhong, CHEN Anpu, ZHAO Nanrong. Diffusion Coefficient of Nanoparticles in Semidilute Polyelectrolyte Solutions Based on Mode Coupling Theory^† [J]. Chem. J. Chinese Universities, 2015, 36(11): 2251.
[4]	LI Mei-Chao, ZHU Wan-Xia, ZHU Jing-Na, MO Wei-Min. Effects of Electrolyte Solutions on Overoxidation of Polypyrrole During Its Electrochemical Polymerization [J]. Chem. J. Chinese Universities, 2012, 33(01): 128.
[5]	DOU Li-Xia*, CHENG Jian-Bo. Effect of Partly Hydrolyzed Polyacrylamide on the Interfacial Dilational Properties of Alkyl Benzene Sulfonate [J]. Chem. J. Chinese Universities, 2010, 31(2): 361.
[6]	GUAN Wei, LI Lei, WANG Heng, HU Wei-Guo, YANG Jia-Zhen. Studies on the Thermochemisry for Scattered Metal Compound InCl₃ [J]. Chem. J. Chinese Universities, 2006, 27(2): 310.
[7]	SHI Hong-Bing, YU Yang-Xin, GAO Guang-Hua . Brownian Dynamics Simulation of Self-diffusion Coefficients of Electrolyte Solutions [J]. Chem. J. Chinese Universities, 2004, 25(12): 2317.
[8]	ZHANG Ya-Li, SUN Dian-Ting, GUO Guo-Lin, GUI Lin-Lin. Transfer Rule of Equivalent Circuits of Similar Plots on the Impedance Complex Plane and on the Capacitance Complex Plane for an AC Impedance Measurement(Ò) Transferring of the Equivalent Circuits Containing the Warburg Impedance [J]. Chem. J. Chinese Universities, 2000, 21(7): 1086.
[9]	XING Wan-Li, FANG Yan-Hong, HE Xi-Wen . Detection of Combustible Material with Piezoelectric Crystal Sensor Array Using Pattern-Recognition Techniques [J]. Chem. J. Chinese Universities, 1997, 18(5): 696.
[10]	CAO Zhong, LIN Hui-Gai, WANG Bin-Feng, WANG Ke-Min, CHEN Ze-Zhong, YU Ru-Qin. An Array of Piezoelectric Crystal Sensors with Plasticized PVC Coatings Used as Perfume Odour-Sensing System [J]. Chem. J. Chinese Universities, 1995, 16(5): 704.
[11]	WANG Shi-Hua, CAO Zhong, WANG Bin-Feng, LIN Hui-Gai, YU Ru-Qin. Piezoelectric Crystal Sensor Array Used for Determination of Ethanol Vapor in Mixtures [J]. Chem. J. Chinese Universities, 1994, 15(8): 1132.
[12]	SHENTU Yan-ming, LI Yi-gui . Studies on Thermodynamics of MX-NX₂ and MX-NX₃ Aqueous Electrolyte Solutions [J]. Chem. J. Chinese Universities, 1992, 13(3): 366.
[13]	Nie Lihua, Tan Shenglian, Yao Shouzhuo . Theory of the Analytical Method Based on Electrodeposition and Frequency Shift Measurement and its Verification [J]. Chem. J. Chinese Universities, 1989, 10(12): 1235.
[14]	Yao Shouzhuo, Zhou Tiean . Frequency Property of Piezoelectric Crystal in Solutions with a Transistorized Oscillator and Its Chemical Applications [J]. Chem. J. Chinese Universities, 1988, 9(7): 749.

On the Oscillating Behaviors of Piezoelectric Quartz Crystal in Aqueous Electrolyte Solutions—Frequency and Frequency Shift

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 14

Recommended Articles

Metrics

Comments