The Elastic, Piezoelectric, and Dielectric Constants of Potassium Dihydrogen Phosphate and Ammonium Dihydrogen Phosphate

Abstract

Measurements have been made of all the elastic, piezoelectric, and dielectric constants of KDP and ADP crystals through temperature ranges down to the Curie temperatures. The piezoelectric properties agree well with Mueller's phenomenological theory of piezoelectricity provided the fundamental piezoelectric constant is taken as the ratio of the piezoelectric stress to that part of the polarization due to the hydrogen bonds. It is found that the dielectric properties of KDP agree well with the theory presented by Slater based on the interaction of the hydrogen bonds with the ${\mathrm{PO}}_{4}$ ions. ADP undergoes a transition at -125\ifmmode^\circ\else\textdegree\fi{}C which results in fracturing the crystal. This transition cannot be connected with the ${\mathrm{H}}_{2}$P${\mathrm{O}}_{4}$ hydrogen bond system which controls the dielectric and piezoelectric properties, for these lie on smooth curves that do not change slope as the transition temperature is approached. It is suggested that two separate and independent hydrogen bond systems are involved in ADP. The transition temperature and specific heat anomaly appear to be connected with hydrogen bonds between the nitrogens and the oxygens of the ${\mathrm{PO}}_{4}$ ions, while the dielectric and piezoelectric properties are controlled by the ${\mathrm{H}}_{2}$P${\mathrm{O}}_{4}$ hydrogen bonds.