Fig. 1: The nature of SRO patterns in DRX.

a, b Experimentally observed electron diffraction patterns (top) along [001] zone axis of LTMO a and LTMOF b, and their corresponding schematics (bottom). c Crystal structure of DRX, in which different atomic clusters are highlighted by the colored polyhedrons. d–f Octahedron-type SRO cluster d, cubic-type SRO cluster e, and tetrahedron-type SRO cluster f (left), and the corresponding calculated diffraction locus in reciprocal space (middle) and diffraction patterns along [001] zone axis (right). g, h Calculated diffraction locus for the octahedral-to-cubic SRO transition g and octahedral-to-tetrahedral SRO transition h. i, j Simulated electron diffraction patterns for LTMO i and LTMOF j.