From the planar atomic nets to pseudotranslational sublattices (that means "force skeletons" of the crystal structure)

The structures of Tm15S22 sulfide, the mineral heyrovskyite Pb6Bi2S9, and the beta-W structure type were examined on the assumption that the crystal structure is created by the ordering of atoms by systems of parallel equidistant planes. An independent atomic ordering in cation and anion matrices was considered for sulfides. Twinning of "structure moduli" in the heyrovskyite structure was shown to occur within the common cation and anion sublattices owing to vacancies therein.