Notes

¹All elements were considered as possible components of intermetallic compounds except the following: H, He, B, C, N, O, F, Ne, Si, P, S, Cl, Ar, As, Se, Br, Kr, Te, I, Xe, At and Rn.

²Remarkably, no structures of intermetallics were found with space groups F23, F432, F4₁32, or .

³Supplementary data for this paper are available from the IUCr electronic archives (Reference: SN5103 ). Services for accessing these data are described at the back of the journal.

⁴These are cP2-CsCl, cF16-NaTl, cP52-Al₄Cu₉, cF444-Al_63.6Ta_36.3, cF1192-Al_53.6Mg_46.4, cF5928-Al_56.6Ta_39.5Cu_3.9 and cF23256-Al_55.4Ta_39.1Cu_5.4.

⁵Within the scope of this work only the face-centered space groups are listed. These considerations also hold true for P2₁3 and , and with minor restrictions for P4₃32 and P4₁32.

⁶It can also be seen as the structure of cF24-MgCu₂ with the additionally occupied Wyckoff position 8b .

⁷A dual polyhedron corresponds to the original one by replacing faces by vertices and vice versa. The dual of a dual is the original polyhedron.

⁸Here p and -p lie on opposing sides of a mirror plane and p' is generated from p after a glide operation.

⁹A snub cube is an Archimedean solid with 32 triangular and six square faces, and 24 vertices.

¹⁰This polyhedron is often simply called rhombicosidodecahedron (r), but is referred to as `small r'. Also termed `truncated r' in order to distinguish it from the `great r' (Cundy & Rollett, 1961).

¹¹The Wyckoff positions in space group correspond directly to those in , with the exception of two of the highest multiplicities (, ).

¹²This feature was also observed in Zn_95.3Mo_4.7 at the same position, but below the threshold for significant ELF values of 0.5.

¹³These ELF maxima connect pairs of Sc atoms with interatomic distances of 4.0-4.6 Å. The shortest Sc-Sc distances in this structure, however, range from 3.0 to 3.9 Å.

¹⁴The bond basins found by Bader analysis do not, however, cover all maxima assigned to covalent bond parts from the ELF.