Fig. 3: Correlation analysis between local orderings and the deviated polarization.

a–c Schematic illustration (top), and statistical distribution (bottom) of local orderings in the BNT-based system, including a oxygen octahedral tilting (OT), b oxygen octahedral distortion (OD), c chemical ordering (CO). d–f Statistical point-to-point correlation analysis revealing the relationship between three local orderings and the deviated polarization. g–i Statistical point-to-point correlation analysis indicating the effects of A–O interactions on the deviated polarization changes with the doping concentration. rp is the Pearson’s correlation coefficient, see detailed correlation data in Supplementary Table 1.