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A uniform description of the crystal structures of  β -Si 3 N 4  and of compounds with the phenakite type structure is proposed, based on the fact that the latter are superstructures of the former. The cation ordering in  α -LiGaSiO 4  that leads to space group  R 3 is explained in terms of a superstructure of  β -Si 3 N 4  with space group  P 6 3  from which the two-fold screw axes are removed. Remnants of the same screw axis are present in phenakite type structures with space group  R [unk] as well.

A uniform description of phenakite type structures as superstructures of β -Si 3 N 4