Estimation of individual phases from the four-phase structure invariants in the single isomorphous replacement case

Cubic structure types of rare-earth intermetallics and related compounds

Cubic structure types of rare-earth intermetallic and related compounds are reviewed and their structural similarities are discussed. The description of the structural relations is based on the ordered substitution or inclusion of atoms or atomic groups starting from the structures of four “aristotypes”: diamond, Cu, CsCl and W. Structural similarities between some types are illustrated by family trees of crystallographic group-subgroup relations.