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We performed x-ray diffraction studies on a series of(1-$x$)Pb(Zn$_{1/3}$Nb$_{2/3}$)O$_3$-$x$PbTiO$_3$ (PZN-$x$PT) single crystalswith different incident photon energies, and therefore different penetrationdepths. Our results show that outer-layers of $\sim 10$ to 50 $\mu$m thick arepresent in all samples. The structure of those outer-layers is different fromthat of the inside of the crystals, by having much greater (rhombohedral)distortions. With increasing $x$, rhombohedral-type lattice distortionsdevelop, both in the outer-layer and the inside.Comment: submitted to Appl. Phys. Let

Dual structures in (1−x)Pb(Zn1/3Nb2/3)O3−xPbTiO3 ferroelectric relaxors