Quantitative Huang-scattering analysis of local structure in the relaxor-based piezoelectric PZN-4.5{\%}PT

Polar nano-regions (PNR) in ferroelectric relaxor materials like Pb(Zn$_{1/3}$Nb$_{2/3})$O$_{3}$ and Pb(Mg$_{1/3}$Nb$_{2/3})$O$_{3}$ are of pressing applied interest due to their influence on the remarkable piezoelectric properties of their solid solutions with PbTiO$_{3}$. In the recent literature, x-ray and neutron single-crystal diffuse scattering techniques have been shown to provide qualitative insight into the local structure of these materials. Here, we present a quantitative three-dimensional Huang-scattering analysis of 80 keV x-ray single-crystal diffuse scattering data from PZN-4.5{\%}PT.