Table 1 Space groups and corresponding point groups for tetragonal MAPbI3

From: Inversion symmetry and bulk Rashba effect in methylammonium lead iodide perovskite single crystals

Bulk space group

Point group

Electric dipole SHG allowed?

I4/mcm (centrosymmetric)

4/mmm (bulk)

No

mm2 (surface)

Yes

I4cm (non-centrosymmetric)

4mm (bulk)

Yes

  1. Proposed tetragonal MAPbI3 space groups, their corresponding surface and bulk point groups and whether the point group allows ED SHG
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