Quantitative evaluation of local domain patterns in [110] poled Pb(Mg_1/3Nb_2/3)O₃–0.35PbTiO₃ single crystal using a polarized Raman microprobe

An experimental/computational procedure was presented to quantitatively analyze by polarized Raman spectroscopy (PRS) unknown domain textures in [110] poled Pb(Mg_1/3Nb_2/3)O₃–0.35PbTiO₃ single crystal. The three-dimensional domain orientation was described in terms of three Euler angles in space, and an Euler matrix was employed to transform the axial coordinates detected at the molecular scale into the laboratory coordinate frame. Raman spectral intensity of selected bands belonging to the A_g and E_g vibrational modes varied as a function of polarization geometry and rotation angle about the [110] direction. Periodic functions, which precisely fit experimental data, could be located to describe such dependences, according to theoretical considerations. The reliability and the efficiency of PRS characterization were demonstrated and the angles of domain orientation were observed and mapped at the microscopic scale.