Fig. 3: Three-dimensional, synchrotron-based reciprocal space mapping around the (400)C Bragg diffraction.

A Pristine KTN crystal. B Fe-doped KTN crystal. C Mn-doped KTN crystal. The Qx, Qy, and Qz are reciprocal space coordinates of scattering vector Q, where |Q| = (Qx2 + Qy2 + Qz2)1/2. Q = kf − ki, where ki is the wavevector of the incident X-ray beam and kf is the wavevector of the scattered beam. The spot of the X-ray beam used was an ellipse with a long axis of 40 μm and a short axis of 20 μm. Within the detection area, ferroelectric domains with different orientations are present. The color-mapped regions corresponding to domains with different polarization orientations are marked by numbers. The scattering intensity versus |Q| of all detected regions in pristine (black), Fe-doped (blue), and Mn-doped (red) samples are depicted in (D).