An Accurate Method for the Determination of Complex Coefficients of Single Crystal Piezoelectric Resonators I: Theory

Xiao Hong Du, Qing Ming Wang, Kenji Uchino

Research output: Contribution to journalArticle

19 Scopus citations

Abstract

This paper presents the theoretical derivation for a method of accurately determining the complex coefficients of single crystal piezoelectric materials. The vibration equations are analytically solved for a piezoelectric plate and a piezoelectric thin rod in an arbitrary crystallographic orientation. The solutions provide the distributions of the stresses and the vibration velocities inside the sample and the electrical impedance between the electrodes. Based on the analysis of the solutions, the complex dielectric, elastic, and piezoelectric coefficients are determined from the impedance or admittance measurements near the resonance frequencies. The measurement for LiNbO 3 single crystals is used as an example to demonstrate the experiment and calculation procedures and to indicate the comparisons with previous methods.

Original languageEnglish (US)
Pages (from-to)227-237
Number of pages11
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume51
Issue number2
DOIs
StatePublished - Feb 1 2004

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering

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