X-ray diffraction / Powder diffraction structure analysis / Single crystal structure analysis / Thiometallate / Tetrahedral structures / Wurtzite structure type / Sphalerite structure type Abstract. In order to develop a novel model to predict if a so called normal tetrahedral compound crystallizes in a wurtzite-or sphalerite superstructure type, the system Cu 3 AsS 4 --Cu 3 SbS 4 was reinvestigated. A solid solution series was prepared and the mixed crystals were characterized by powder X-ray techniques. [MS 4 ] were calculated for the investigated compounds. In addition, the corresponding data were calculated for further solids from literature data. The volumes of the tetrahedra are used to separate compounds with a sphalerite type anion arrangement from compounds with hexagonal packed anions. A closer inspection of the tetrahedra volumes reveals a greater variation for one given material in the case of wurtzite type superstructures than for sphalerite type superstructures. A critical difference in the tetrahedra volumes is derived from these data.