Title: Longitudinal relaxation of mechanically free KH₂PO₄ type crystals. Piezoelectric resonance and sound attenuation
Author(s):

	R.R.Levitskii (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
	I.R.Zachek (Lviv Polytechnic National University, 12 Bandera Str., 79013 Lviv, Ukraine) ,
	A.P.Moina (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
	A.S.Vdovych (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

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.

Key words: ferroelectrics, piezoelectric resonance
PACS: 77.22.Ch, 77.22.Gm, 77.65.-j, 77.84.Fa, 77.65.Fs

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