banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Thermodynamics and ferroelectric properties of
Rent this article for


Image of FIG. 1.
FIG. 1.

The LGD energy of three ferroelectric phases as a function of temperature. The black squares represent the energy values based on and from the previous work (Ref. 11).

Image of FIG. 2.
FIG. 2.

Polarization vs temperature in the single domain, where , in the tetragonal phase, in the orthorhombic phase, and in the rhombohedral phase.

Image of FIG. 3.
FIG. 3.

Dielectric constants vs temperature in the single crystal. is along the polarization direction and and are along the two directions orthogonal to the polarization direction. For the tetragonal phase, . For the orthorhombic and rhombohedral phases, is along the [010] and [001] polarization directions. The squares represent the experimental values and the solid lines represent the calculated values by the thermodynamic free energy.

Image of FIG. 4.
FIG. 4.

Spontaneous strain as a function of the temperature in .

Image of FIG. 5.
FIG. 5.

Lattice constant vs temperature in the single crystal. The squares represent experimental values from Ref. 40. The solid lines represent calculated values through the present free energy. The dashed line represents pseudocubic lattice .

Image of FIG. 6.
FIG. 6.

Phase diagram as a function of transition temperature and applied pressure for .

Image of FIG. 7.
FIG. 7.

Dependence of the dielectric constant of on hydrostatic pressure at different temperatures.

Image of FIG. 8.
FIG. 8.

Dependence of the dielectric constant on temperature under different hydrostatic pressures.

Image of FIG. 9.
FIG. 9.

Piezoelectric coefficients vs applied electric field , , and , respectively, at room temperature.


Generic image for table
Table I.

The thermodynamic parameters used for fitting the LGD energy expansion coefficients.

Generic image for table
Table II.

The fitted LGD energy expansion coefficients for single crystal.

Generic image for table
Table III.

The values of polarization and dielectric constant for at room temperature .

Generic image for table
Table IV.

Entropy and latent heat changes of at three ferroelectric phase transition points.

Generic image for table
Table V.

Piezoelectric coefficients under the applied electric field at room temperature .


Article metrics loading...


Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Thermodynamics and ferroelectric properties of KNbO3