Longitudinal relaxation of mechanically free KH₂PO₄ type crystals. Piezoelectric resonance and sound attenuation

Within the framework of proton model with taking into account the piezoelectric interaction with the shear strain ε6, a dynamic dielectric response of KD2PO4 type ferroelectrics is considered. Experimentally observed phenomena of crystal clamping by high frequency electric field, piezoelectric resonance and microwave dispersion are described. Ultrasound velocity and attenuation are calculated, peculiarities of their temperature dependence at the Curie points are described. Existence of a cut-off frequency in the frequency dependence of attenuation is predicted