Eigen-frequency and frequency response calculation of piezoelectric resonator parameters

Yook Kong Yong, Frank Fang, Shih Chuang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


Equations for the calculation of the equivalent circuit parameters of the piezoelectric resonator are presented. The results from both eigen-frequency and frequency response analyses could be used for calculating the electrical parameters of the Butterworth Van Dyke model of the piezoelectric resonator. The values of the electrical parameters C1, and L1 obtained from both types of analyses were found to be similar, and were found to compare reasonably well with the measured values of two 12 MHz AT-cut quartz resonators. The values of R1, and Q were less well predicted when the resonator has a lower Q. The static capacitance C0 could be calculated accurately by its frequency response at 1 Hz. The eigen-frequency analysis is better suited than the frequency response analysis for the study of electrode and plate geometry designs, hence the eigen-frequency equations for calculating the equivalent circuit parameters are more useful for parametric designs.

Original languageEnglish (US)
Title of host publication2009 IEEE International Ultrasonics Symposium and Short Courses, IUS 2009
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages4
ISBN (Print)9781424443895
StatePublished - 2009
Event2009 IEEE International Ultrasonics Symposium, IUS 2009 - Rome, Italy
Duration: Sep 20 2009Sep 23 2009

Publication series

NameProceedings - IEEE Ultrasonics Symposium
ISSN (Print)1051-0117


Other2009 IEEE International Ultrasonics Symposium, IUS 2009

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics


  • Eigen-frequency analysis
  • Equivalent electrical parameters
  • Frequency response analysis
  • Piezoelectric resonators
  • Quartz resonators


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