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MgRh is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Mg is bonded in a body-centered cubic geometry to eight equivalent Rh atoms. All Mg–Rh bond lengths are 2.71 Å. Rh is bonded in a body-centered cubic geometry to eight equivalent Mg atoms.
Mg5Rh2 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are three inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to six equivalent Rh atoms. All Mg–Rh bond lengths are 2.72 Å. In the second Mg site, Mg is bonded in a 3-coordinate geometry to three Rh atoms. There are two shorter (2.75 Å) and one longer (3.08 Å) Mg–Rh bond lengths. In the third Mg site, Mg is bonded in a 2-coordinate geometry to four Rh atoms. There are a spread of Mg–Rh bond distances ranging from 2.60–2.93 Å. There are two inequivalent Rh sites. In the first Rh site, Rh is bonded in a 6-coordinate geometry to nine Mg atoms. In the second Rh site, Rh is bonded in a 10-coordinate geometry to ten Mg atoms.
Mg3Rh crystallizes in the hexagonal P6_3cm space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded in a distorted trigonal planar geometry to three equivalent Rh atoms. All Mg–Rh bond lengths are 2.67 Å. In the second Mg site, Mg is bonded in a trigonal planar geometry to three equivalent Rh atoms. All Mg–Rh bond lengths are 2.70 Å. In the third Mg site, Mg is bonded in a distorted trigonal planar geometry to three equivalent Rh atoms. There are one shorter (2.73 Å) and two longer (2.84 Å) Mg–Rh bond lengths. In the fourth Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent Rh atoms. There are one shorter (2.73 Å) and one longer (2.77 Å) Mg–Rh bond lengths. Rh is bonded in a 8-coordinate geometry to eight Mg atoms.
MgRh3 crystallizes in the orthorhombic Imm2 space group. The structure is three-dimensional. Mg is bonded in a 12-coordinate geometry to ten Rh atoms. There are a spread of Mg–Rh bond distances ranging from 2.68–2.81 Å. There are two inequivalent Rh sites. In the first Rh site, Rh is bonded in a 12-coordinate geometry to three equivalent Mg atoms. In the second Rh site, Rh is bonded to four equivalent Mg atoms to form a mixture of distorted edge and corner-sharing RhMg4 cuboctahedra.
Rh5Mg crystallizes in the monoclinic Cm space group. The structure is three-dimensional. Mg is bonded in a 12-coordinate geometry to ten Rh atoms. There are a spread of Mg–Rh bond distances ranging from 2.66–2.80 Å. There are five inequivalent Rh sites. In the first Rh site, Rh is bonded to two equivalent Mg and ten Rh atoms to form distorted RhMg2Rh10 cuboctahedra that share corners with eight RhMg2Rh10 cuboctahedra, edges with nine RhMg2Rh5 cuboctahedra, and faces with six RhMg2Rh10 cuboctahedra. There are a spread of Rh–Rh bond distances ranging from 2.68–2.77 Å. In the second Rh site, Rh is bonded to two equivalent Mg and five Rh atoms to form distorted RhMg2Rh5 cuboctahedra that share corners with eleven RhMg2Rh10 cuboctahedra, edges with eight RhMg2Rh10 cuboctahedra, and faces with two equivalent RhMg2Rh5 cuboctahedra. Both Rh–Rh bond lengths are 2.77 Å. In the third Rh site, Rh is bonded in a distorted single-bond geometry to one Mg and five Rh atoms. There are one shorter (2.66 Å) and two longer (2.73 Å) Rh–Rh bond lengths. In the fourth Rh site, Rh is bonded to two equivalent Mg and ten Rh atoms to form distorted RhMg2Rh10 cuboctahedra that share corners with eleven RhMg2Rh5 cuboctahedra, edges with seven RhMg2Rh10 cuboctahedra, and faces with six RhMg2Rh10 cuboctahedra. There are two shorter (2.72 Å) and two longer (2.77 Å) Rh–Rh bond lengths. In the fifth Rh site, Rh is bonded in a 12-coordinate geometry to three equivalent Mg and four Rh atoms.