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Derivative structures based upon sphalerite or galena often exhibit hexagonal superstructures characteristic of a peculiar thirteenfold multiplicity. A synthetic semiconductor, Cu 7 As 6 Se 13 , is one of the examples. Crystals of Cu 7 As 6 Se 13  are rhombohedral with  a  = 8.71 Å,  α  = 105°41′. The space group is  R 3. The unit cell referred to hexagonal axes has dimensions  a  = 14.025 Å,  c  = 9.61 Å, and there are three formula units per cell. As an example of the application of the partial Patterson method, the superstructure was solved based upon a three-dimensional Patterson function synthesized with superstructure reflections alone.

The application of the partial Patterson method and the thirteenfold hexagonal superstructure of Cu 7 As 6 Se 13