MgLu4Rh crystallizes in the cubic F-43m space group. Mg(1) is bonded to three equivalent Mg(1), three equivalent Lu(1), three equivalent Lu(2), and three equivalent Lu(3) atoms to form a mixture of corner and face-sharing MgLu9Mg3 cuboctahedra. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 3-coordinate geometry to three equivalent Mg(1), three equivalent Lu(3), and three equivalent Rh(1) atoms. In the second Lu site, Lu(2) is bonded in a bent 150 degrees geometry to two equivalent Mg(1), four equivalent Lu(3), and two equivalent Rh(1) atoms. In the third Lu site, Lu(3) is bonded in a 14-coordinate geometry to two equivalent Mg(1), two equivalent Lu(1), four equivalent Lu(2), four equivalent Lu(3), and two equivalent Rh(1) atoms. Rh(1) is bonded in a 6-coordinate geometry to three equivalent Lu(1), three equivalent Lu(2), and three equivalent Lu(3) atoms.
MgLu4Rh crystallizes in the cubic F-43m space group. Mg(1) is bonded to three equivalent Mg(1), three equivalent Lu(1), three equivalent Lu(2), and three equivalent Lu(3) atoms to form a mixture of corner and face-sharing MgLu9Mg3 cuboctahedra. All Mg(1)-Mg(1) bond lengths are 3.02 Å. All Mg(1)-Lu(1) bond lengths are 3.43 Å. All Mg(1)-Lu(2) bond lengths are 3.46 Å. All Mg(1)-Lu(3) bond lengths are 3.23 Å. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 3-coordinate geometry to three equivalent Mg(1), three equivalent Lu(3), and three equivalent Rh(1) atoms. All Lu(1)-Lu(3) bond lengths are 3.44 Å. All Lu(1)-Rh(1) bond lengths are 2.75 Å. In the second Lu site, Lu(2) is bonded in a bent 150 degrees geometry to two equivalent Mg(1), four equivalent Lu(3), and two equivalent Rh(1) atoms. All Lu(2)-Lu(3) bond lengths are 3.56 Å. Both Lu(2)-Rh(1) bond lengths are 2.74 Å. In the third Lu site, Lu(3) is bonded in a 14-coordinate geometry to two equivalent Mg(1), two equivalent Lu(1), four equivalent Lu(2), four equivalent Lu(3), and two equivalent Rh(1) atoms. All Lu(3)-Lu(3) bond lengths are 3.51 Å. Both Lu(3)-Rh(1) bond lengths are 3.44 Å. Rh(1) is bonded in a 6-coordinate geometry to three equivalent Lu(1), three equivalent Lu(2), and three equivalent Lu(3) atoms.