Orthorhombic sphere packings. II. Bivariant lattice complexes

All homogeneous sphere packings and all interpenetrating layers of spheres were derived that refer to the 22 orthorhombic bivariant lattice complexes. In total, sphere packings of 90 different types have been found. Only for 47 of these types is the maximal inherent symmetry of their sphere packings orthorhombic. Some examples demonstrate the usefulness of sphere packings for the comparison and description of crystal structures.