PZT or Lead-Zirconate-Titanate

PZT is short for Lead (= Pb) zirconate (= Zr) titanate (= Ti) or Pb[ZrxTi1-x]O3. It is mixture of PbTiO3 and ZrTiO3
Both constituents are Perowkites as described in the backbone. For temperatures below the Curie temperature we have spontaneous polarization as indicated in the phase diagram (adopted form Wikipedia).
PZT phase diagram
Both lattice pictures in the phase diagram are hugely exaggerated. Drawn to scale the eye would not see a difference to a perfect cube. The relation of the axis' in thetetragonal case is abour 1,06 and the angle a in the rhomboedric structure, for example, is around 0.3o.
This rather esmall distortions are large enough, however to produce major permanent polarization effects
The interesting part is the "morphological phase boundary" (MPB) where the structure changes but not the constitutents. Several properties, most interesting for us the "dielectric constant" show pronounced maxima on the MPB; "theoretically" they could diverge to infinity.
More down to earth, a mixture of tetragonal and rhomboedric crystals have all togehter 14 possible directiopons for spontaneous polarization. In othe words, no matter what the external field direction might be, there is always an "easy" direction available in the PZT that is not too steeply inclined to the field direction.
As always, optimizing the mixture and adding some other "dopants" or better alloying elements, can produce a large range of properties.
     

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© H. Föll (Electronic Materials - Script)