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GdRh is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Gd is bonded in a body-centered cubic geometry to eight equivalent Rh atoms. All Gd–Rh bond lengths are 3.01 Å. Rh is bonded in a body-centered cubic geometry to eight equivalent Gd atoms.
GdRh2 is Cubic Laves structured and crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Gd is bonded in a 12-coordinate geometry to twelve equivalent Rh atoms. All Gd–Rh bond lengths are 3.15 Å. Rh is bonded to six equivalent Gd and six equivalent Rh atoms to form a mixture of corner, edge, and face-sharing RhGd6Rh6 cuboctahedra. All Rh–Rh bond lengths are 2.69 Å.
GdRh5 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Gd is bonded in a distorted hexagonal planar geometry to eighteen Rh atoms. There are six shorter (3.04 Å) and twelve longer (3.41 Å) Gd–Rh bond lengths. There are two inequivalent Rh sites. In the first Rh site, Rh is bonded to four equivalent Gd and eight Rh atoms to form a mixture of face, edge, and corner-sharing RhGd4Rh8 cuboctahedra. There are four shorter (2.63 Å) and four longer (2.65 Å) Rh–Rh bond lengths. In the second Rh site, Rh is bonded in a 12-coordinate geometry to three equivalent Gd and nine Rh atoms. All Rh–Rh bond lengths are 3.04 Å.
GdRh3 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Gd sites. In the first Gd site, Gd is bonded in a 12-coordinate geometry to twelve Rh atoms. There are a spread of Gd–Rh bond distances ranging from 3.03–3.33 Å. In the second Gd site, Gd is bonded in a distorted hexagonal planar geometry to eighteen Rh atoms. There are six shorter (3.04 Å) and twelve longer (3.42 Å) Gd–Rh bond lengths. There are four inequivalent Rh sites. In the first Rh site, Rh is bonded to five Gd and seven Rh atoms to form a mixture of distorted corner, edge, and face-sharing RhGd5Rh7 cuboctahedra. There are a spread of Rh–Rh bond distances ranging from 2.63–2.70 Å. In the second Rh site, Rh is bonded in a 12-coordinate geometry to three equivalent Gd and nine Rh atoms. All Rh–Rh bond lengths are 3.04 Å. In the third Rh site, Rh is bonded in a 12-coordinate geometry to three equivalent Gd and nine Rh atoms. In the fourth Rh site, Rh is bonded to six equivalent Gd and six equivalent Rh atoms to form RhGd6Rh6 cuboctahedra that share corners with twelve equivalent RhGd5Rh7 cuboctahedra, edges with six equivalent RhGd6Rh6 cuboctahedra, and faces with eighteen equivalent RhGd5Rh7 cuboctahedra.