Description of structures in terms of polyhedrapacking

The structures of alloys can be described in terms of polyhedrapacking. We studiedall structure types found in the binary systemsT ⁵ orT ⁶ withB ³ orB ⁴ (T ⁵: V, Nb, Ta;T ⁶: Cr, Mo, W;B ³: Al, Ga, In, Tl;B ⁴: Si, Ge, Sn, Pb) elements. Most of the structures examined until now could be built up with one or two polyhedra, only in a few cases more than two polyhedra are required. It is found that there are two types: a three-dimensional distribution of discrete polyhedra sharing corners, edges or faces and a layer-like distribution. This model proved valid for all structure types studied. Classification of the structures according to their polyhedrapacking criteria is introduced (Table 1). Table 2 includes the coordination numbers of all atoms in the studied structures.