“…Similarly, the Goldschmidt tolerance factor [30], also derived from geometric considerations, identifies limits to A-site-cation radius based on the Bsite-cation and halide radii [31,32]. Compositions that deviate from the tolerance factor for an ideal, undistorted perovskite, with 180°B-X-B angles (Figure 1B), will either adopt a lower-symmetry perovskite structure (e.g., with tilted octahedra) (Figure 1A) or a nonperovskite structure [33].…”