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LuRh2 is Cubic Laves structured and crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Lu is bonded in a 12-coordinate geometry to twelve equivalent Rh atoms. All Lu–Rh bond lengths are 3.11 Å. Rh is bonded to six equivalent Lu and six equivalent Rh atoms to form a mixture of edge, face, and corner-sharing RhLu6Rh6 cuboctahedra. All Rh–Rh bond lengths are 2.65 Å.
LuRh is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Lu is bonded in a body-centered cubic geometry to eight equivalent Rh atoms. All Lu–Rh bond lengths are 2.91 Å. Rh is bonded in a body-centered cubic geometry to eight equivalent Lu atoms.
Lu5Rh3 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. there are two inequivalent Lu sites. In the first Lu site, Lu is bonded in a 6-coordinate geometry to six equivalent Rh atoms. All Lu–Rh bond lengths are 2.92 Å. In the second Lu site, Lu is bonded in a 3-coordinate geometry to five equivalent Rh atoms. There are three shorter (2.84 Å) and two longer (3.31 Å) Lu–Rh bond lengths. Rh is bonded in a 9-coordinate geometry to nine Lu atoms.
LuRh3 is Uranium Silicide structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Lu is bonded to twelve equivalent Rh atoms to form a mixture of face and corner-sharing LuRh12 cuboctahedra. All Lu–Rh bond lengths are 2.84 Å. Rh is bonded in a distorted square co-planar geometry to four equivalent Lu atoms.
Lu4Rh is Iron carbide-like structured and crystallizes in the cubic Fd-3m space group. The structure is zero-dimensional and consists of eight Lu4Rh clusters. Lu is bonded in a single-bond geometry to one Rh atom. The Lu–Rh bond length is 2.54 Å. Rh is bonded in a tetrahedral geometry to four equivalent Lu atoms.