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A morphotropic phase boundary system based on polarization rotation and polarization extension
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View: Figures


Image of FIG. 1.
FIG. 1.

The dielectric susceptibility, , and piezoelectric coefficients, , in the tetragonal phase of calculated as a function of temperature using Landau–Ginzburg–Devonshire theory. For details see Ref. 1. The vertical lines designate transition temperatures into orthorhombic and cubic phases. exhibits strong propensity toward polarization rotation near the T–O and toward polarization elongation close to the T–C phase transition temperature.

Image of FIG. 2.
FIG. 2.

The composition-temperature phase diagram of PZT (after Refs. 6 and 8) and Gibbs free energy profiles for PZT with Zr/Ti ratio 60/40 calculated at 300 and 540 K using Landau–Ginsburg–Devonshire theory (Refs. 5 and 11). The black dots in the phase diagram mark the temperatures at which the free energy profile was calculated. The black dots in the energy profiles mark equilibrium rhombohedral phase with polarization and tetragonal and cubic phases with polarizations and , respectively. The thick dashed lines indicate easy polarization paths at the two temperatures. T–C and R–C paths indicate polarization extension and R–T path indicates polarization rotation path.

Image of FIG. 3.
FIG. 3.

A hypothetical phase diagram exhibiting an MPB region where both polarization rotation and polarization extension mechanisms may be strong. The mutual sequence of R/O and T/M phases may not be important, however, the nonpolar phase should not be in the middle of the diagram. The full dot represents composition that benefits from both polarization rotation and polarization extension at temperatures well below Curie or triple point. and are end members of the solid solution .


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A morphotropic phase boundary system based on polarization rotation and polarization extension