Lu2CoGa8 crystallizes in the tetragonal P4/mmm space group. Lu(1) is bonded to four Ga(1,1); four equivalent Ga(2); and four equivalent Ga(3) atoms to form LuGa12 cuboctahedra that share corners with eight equivalent Lu(1)Ga12 cuboctahedra, edges with four equivalent Ga(3)Lu4Ga8 cuboctahedra, edges with eight equivalent Ga(2)Lu4Ga8 cuboctahedra, faces with four equivalent Ga(2)Lu4Ga8 cuboctahedra, faces with four equivalent Ga(3)Lu4Ga8 cuboctahedra, and faces with five equivalent Lu(1)Ga12 cuboctahedra. Co(1) is bonded in a body-centered cubic geometry to eight Ga(1,1,1) atoms. There are five inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 11-coordinate geometry to two equivalent Lu(1); two equivalent Co(1); two equivalent Ga(3); and five Ga(1,1) atoms. In the second Ga site, Ga(1) is bonded in a 11-coordinate geometry to two equivalent Lu(1); two equivalent Co(1); two equivalent Ga(3); and five Ga(1,1) atoms. In the third Ga site, Ga(1) is bonded in a 11-coordinate geometry to two equivalent Lu(1); two equivalent Co(1); two equivalent Ga(3); and five Ga(1,1) atoms. In the fourth Ga site, Ga(2) is bonded to four equivalent Lu(1), four equivalent Ga(2), and four equivalent Ga(3) atoms to form distorted GaLu4Ga8 cuboctahedra that share corners with four equivalent Ga(2)Lu4Ga8 cuboctahedra, edges with eight equivalent Lu(1)Ga12 cuboctahedra, edges with eight equivalent Ga(3)Lu4Ga8 cuboctahedra, faces with four equivalent Lu(1)Ga12 cuboctahedra, faces with four equivalent Ga(3)Lu4Ga8 cuboctahedra, and faces with eight equivalent Ga(2)Lu4Ga8 cuboctahedra. In the fifth Ga site, Ga(3) is bonded to four equivalent Lu(1); four Ga(1,1); and four equivalent Ga(2) atoms to form distorted GaLu4Ga8 cuboctahedra that share corners with eight equivalent Ga(3)Lu4Ga8 cuboctahedra, edges with four equivalent Lu(1)Ga12 cuboctahedra, edges with eight equivalent Ga(2)Lu4Ga8 cuboctahedra, faces with four equivalent Lu(1)Ga12 cuboctahedra, faces with four equivalent Ga(2)Lu4Ga8 cuboctahedra, and faces with five equivalent Ga(3)Lu4Ga8 cuboctahedra.
Lu2CoGa8 crystallizes in the tetragonal P4/mmm space group. Lu(1) is bonded to four Ga(1,1); four equivalent Ga(2); and four equivalent Ga(3) atoms to form LuGa12 cuboctahedra that share corners with eight equivalent Lu(1)Ga12 cuboctahedra, edges with four equivalent Ga(3)Lu4Ga8 cuboctahedra, edges with eight equivalent Ga(2)Lu4Ga8 cuboctahedra, faces with four equivalent Ga(2)Lu4Ga8 cuboctahedra, faces with four equivalent Ga(3)Lu4Ga8 cuboctahedra, and faces with five equivalent Lu(1)Ga12 cuboctahedra. All Lu(1)-Ga(1,1) bond lengths are 2.92 Å. All Lu(1)-Ga(2) bond lengths are 2.95 Å. All Lu(1)-Ga(3) bond lengths are 2.93 Å. Co(1) is bonded in a body-centered cubic geometry to eight Ga(1,1,1) atoms. All Co(1)-Ga(1,1,1) bond lengths are 2.43 Å. There are five inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 11-coordinate geometry to two equivalent Lu(1); two equivalent Co(1); two equivalent Ga(3); and five Ga(1,1) atoms. Both Ga(1)-Ga(3) bond lengths are 2.91 Å. There is one shorter (2.55 Å) and four longer (2.93 Å) Ga(1)-Ga(1,1) bond lengths. In the second Ga site, Ga(1) is bonded in a 11-coordinate geometry to two equivalent Lu(1); two equivalent Co(1); two equivalent Ga(3); and five Ga(1,1) atoms. Both Ga(1)-Ga(3) bond lengths are 2.91 Å. The Ga(1)-Ga(1) bond length is 2.55 Å. In the third Ga site, Ga(1) is bonded in a 11-coordinate geometry to two equivalent Lu(1); two equivalent Co(1); two equivalent Ga(3); and five Ga(1,1) atoms. Both Ga(1)-Lu(1) bond lengths are 2.92 Å. Both Ga(1)-Ga(3) bond lengths are 2.91 Å. All Ga(1)-Ga(1) bond lengths are 2.93 Å. In the fourth Ga site, Ga(2) is bonded to four equivalent Lu(1), four equivalent Ga(2), and four equivalent Ga(3) atoms to form distorted GaLu4Ga8 cuboctahedra that share corners with four equivalent Ga(2)Lu4Ga8 cuboctahedra, edges with eight equivalent Lu(1)Ga12 cuboctahedra, edges with eight equivalent Ga(3)Lu4Ga8 cuboctahedra, faces with four equivalent Lu(1)Ga12 cuboctahedra, faces with four equivalent Ga(3)Lu4Ga8 cuboctahedra, and faces with eight equivalent Ga(2)Lu4Ga8 cuboctahedra. All Ga(2)-Ga(2) bond lengths are 2.93 Å. All Ga(2)-Ga(3) bond lengths are 2.96 Å. In the fifth Ga site, Ga(3) is bonded to four equivalent Lu(1); four Ga(1,1); and four equivalent Ga(2) atoms to form distorted GaLu4Ga8 cuboctahedra that share corners with eight equivalent Ga(3)Lu4Ga8 cuboctahedra, edges with four equivalent Lu(1)Ga12 cuboctahedra, edges with eight equivalent Ga(2)Lu4Ga8 cuboctahedra, faces with four equivalent Lu(1)Ga12 cuboctahedra, faces with four equivalent Ga(2)Lu4Ga8 cuboctahedra, and faces with five equivalent Ga(3)Lu4Ga8 cuboctahedra.