Crystal structures of Ca 2 SiO 4 , Na 2 SO 4 -K 2 SO 4 sulfates and related minerals bubnovaite K 2 Na 8 Ca(SO 4 ) 6 and dobrovolskyite Na 4 Ca(SO 4 ) 3 were described as modular ones for the rst time. A microblock, or a module [M(TO 4 ) 6 ] that is consisted of an octahedron interlinked by six vertices with six adjacent tetrahedra was considered as a structural unit inherited upon cooling from a high-temperature disordered parent one. A relationship between the parent and inherited microblocks was established. As a result, fteen possible types of modules maintaining a trigonal symmetry of the microblocks were derived based on this relationship. It was shown, that the minerals and compounds structurally-related with α-Na 2 SO 4 derived superstructures were formed as a result of a cooling of the high-temperature phases containing the disordered parent microblock. Here, a driving force of the inheritance is a tendency of the structure to order upon cooling. The reasons of a formation of a microblock from the parent one are mainly determined by ionic radius and type of a cation occupying the octahedral site. A nding of minerals with the described structural features could be a promising tool for a synthesis of novel compounds with useful properties.