Thermodynamic and dynamic dielectric properties of one-dimensional hydrogen bonded ferroelectric of PbHPO${}_4$-type

Abstract

Within the modified model of proton ordering of one-dimensional ferroelectric having hydrogen bonds of PbHPO${}_4$-type, their thermodynamic and dynamic characteristics are studied and calculated taking into account the linear (by crystal deformations ${\epsilon }_i$ ($i=1,3$) and ${\epsilon }_4$) contributions into the energy of a proton system but without taking into account the tunneling in the two-particle cluster approximation. There has been obtained a good quantitative description of the temperature dependence of polarization, static dielectric permittivity, heat capacity and frequency dependence of dynamic dielectric permittivity at different temperatures for PbHPO${}_4$ and PbHDO${}_4$ crystals.

12 pages, 7 figures