Robust phase determination in complex solid solutions using diffuse multiple scattering.

A novel methodology is presented for identifying and distinguishing between structural phases in multi-phasic systems, such as piezoelectric materials like PMN-PT [Pb(Mg 1/3 Nb 2/3 )O 3 -PbTiO 3 ], PIN-PMN-PT [Pb(In 1/2 Nb 1/2 )O 3 -Pb(Mg 1/3 Nb 2/3 )O 3 -PbTiO 3 ] and PZT [Pb(Zr,Ti)O 3 ], using diffuse multiple scattering and Kossel line diffraction techniques. The method exploits the splitting of triple line intersections from special coplanar reflections combined with logical constraints to generate a splitting fingerprint for robust crystallographic phase determination and discrimination.