Evidence for a tricritical point coinciding with the triple point in (Pb0.94Sr0.06)(ZrxTi1−x)O3: A combined synchrotron x-ray diffraction, dielectric, and Landau theory study

We present here results of high resolution synchrotron x-ray diffraction (SXRD) and dielectric studies in conjunction with Landau theory considerations on (Pb0.94Sr0.06)(ZrxTi1-x)O3 compositions in the vicinity of the morphotropic phase boundary (MPB) to find evidence for the flattening of the free energy surface at the MPB proposed in recent ab-initio studies on strongly piezoelectric ceramics. SXRD results reveal that the tetragonal and pseudorhombohedral monoclinic compositions with x=0.515 and 0.550 transform directly into the cubic paraelectric phase, whereas for 0.520monoclinic compositions first transform to the tetragonal phase and then to the cubic phase. Our results reveal the existence of a triple point at x~0.550. It is shown that the tetragonal to cubic transition, irrespective of the composition, upto x~0.545 is accompanied with a discontinuous change in the unit cell volume and thermal hysteresis confirming first order nature of this transition. The pseudorhombohedral monoclinic composition for x=0.550, on the other hand, transforms directly into the cubic phase in a second order manner. Our experimental results thus reveal a crossover from first order to second order phase transition through a tricritical point around x=0.550. Landau theory calculations also confirm gradual flattening of the free energy surface on approaching the tricritical composition x=0.550. We conclude that the triple point in the PZT phase diagram is indeed a tricritical point.