Piezoelectric Resonance in KH2PO4 Type Crystals Revisited

Abstract

Within the framework of proton model with taking into account the piezoelectric interaction with the shear strain ε 6 , a dynamic dielectric response of KH 2 PO 4 family ferroelectrics and antiferroelectrics is considered.Piezoelectric resonance frequencies of rectangular thin plates of the crystals cut in the ( 001) plane (0 • Z-cut) are calculated, which are found to be in a good agreement with experiment.

Transverse Piezoelectric Resonance in KH$_2$PO$_4$ Type Crystals

“…Here ρ is the crystal density, σ 4 is the mechanical shear stress, which, being the function of η (1) , E 1 , and ε 4 , is found from the constitutive equations derived in [7].…”

“…Following the usually used procedure [1,4,7,8], at small deviations from the equilibrium, we derive the following equations for the displacements…”

“…In our previous paper [1] we explored the dynamic dielectric response of square thin plates, cut from the KH 2 PO 4 family ferroelectric and antiferroelectric crystals in the planes (001), to the a.c. electric field applied along the axis [001]. This is the axis of a spontaneous polarization in the KH 2 PO 4 type ferroelectrics, and we call this field longitudinal.…”