Fig. 1: Challenge in correlating local structures with dielectric and electromechanical properties in relaxor ferroelectrics.

a Schematic illustration of introducing local disorder and randomness to enhance the dielectric and electromechanical responses in ferroelectric oxides. Although the improved properties are believed to originate from the modulated polar structures with deviated polarizations, the underlying nature of these disordered structures remains controversial. Domain structures are obtained by piezoelectric-force microscopy (PFM) on BNT-RD12, BNT-RD26, BNT-RD38 compositions. b Dielectric relaxor behaviors of selected BNT-RD12, BNT-RD26, BNT-RD38 compositions. △Ts is used to evaluate the relaxor degree, which is the shift of the permittivity peak from 100 Hz to 500 kHz. c Compilation of the electromechanical properties (d33 and d33*) against depolarization temperature (Td) for the BNT-based system. See data source in Supplementary References.