The cubic limiting complexes of the tetragonal lattice complexes

Abstract For all tetragonal lattice complexes the limiting complexes with cubic characteristic space-group type have been derived. These limiting complexes are caused by a specialization of the axial ratioc/a. However, they may require in addition special coordinate parameters.The limiting complexes have been determined with the aid of group-subgroup relationships. In order to check the material, the occurrence of cubic sphere packings within tetragonal lattice complexes was used. The results are presented in four separate tables referring to the 4 invariant, the 24 univariant, the 38 bivariant and the 48 trivariant tetragonal lattice complexes.