Journal of Physical Studies 7(4), 431–448 (2003)
DOI: https://doi.org/10.30970/jps.07.431

A THEORY OF PIEZOELECTRIC, ELASTIC, AND DIELECTRIC PROPERTIES OF THE KH2PO4 FAMILY CRYSTALS UNDER THE STRAIN u6. PHASE TRANSITION AND THE PIEZOELECTRIC EFFECT IN THE KH2PO4 CRYSTAL

R. R. Levitskii, B. M. Lisnii

Institute for Condensed Matter Physics of the Ukrainian Natl. Acad. Sci.
1 Svientsitskii Str., Lviv, UA-79011, Ukraine

In order to study the dielectric, piezoelectric and elastic properties of ferroelectrics and antiferroelectrics of the KH$_2$PO$_4$ family, we consider an extended proton tunneling model that takes into account the shear strain $u_6$. In the four-particle cluster approximation for the short-range interactions and the mean field approximation for the long-range interaction we calculate the transverse components of the dielectric susceptibility tensor of the KH$_2$PO$_4$ family ferroelectrics. We explore the phase transition and piezoelectric effect in the KH$_2$PO$_4$ crystal. In the paraelectric phase the dielectric, piezoelectric, and elastic characteristics of the NH$_4$H$_2$PO$_4$ antiferroelectrics are calculated. A good agreement between theoretical and experimental results for these crystals is obtained.

PACS number(s): 77.84.Fa, 77.65.Bn, 77.80.Bh, 77.22.Ch

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