Lu12(MnC3)5 crystallizes in the hexagonal P-62m space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a rectangular see-saw-like geometry to two equivalent C(2) and two equivalent C(4) atoms. In the second Lu site, Lu(2) is bonded to one C(1), one C(2), one C(3), and two equivalent C(4) atoms to form a mixture of distorted corner and edge-sharing LuC5 square pyramids. In the third Lu site, Lu(3) is bonded in a 8-coordinate geometry to two equivalent C(1), two equivalent C(3), and four equivalent C(4) atoms. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 3-coordinate geometry to one C(1) and two equivalent C(2) atoms. In the second Mn site, Mn(2) is bonded in a trigonal planar geometry to three equivalent C(4) atoms. There are four inequivalent C sites. In the first C site, C(1) is bonded in a 6-coordinate geometry to two equivalent Lu(2), two equivalent Lu(3), one Mn(1), and one C(3) atom. In the second C site, C(2) is bonded to two equivalent Lu(1), two equivalent Lu(2), and two equivalent Mn(1) atoms to form CLu4Mn2 octahedra that share corners with four equivalent C(2)Lu4Mn2 octahedra and edges with four equivalent C(4)Lu5Mn octahedra. The corner-sharing octahedral tilt angles range from 1-32°. In the third C site, C(3) is bonded in a 5-coordinate geometry to two equivalent Lu(2), two equivalent Lu(3), and one C(1) atom. In the fourth C site, C(4) is bonded to one Lu(1), two equivalent Lu(2), two equivalent Lu(3), and one Mn(2) atom to form distorted CLu5Mn octahedra that share corners with five equivalent C(4)Lu5Mn octahedra, edges with two equivalent C(2)Lu4Mn2 octahedra, and edges with three equivalent C(4)Lu5Mn octahedra. The corner-sharing octahedral tilt angles range from 8-44°.
Lu12(MnC3)5 crystallizes in the hexagonal P-62m space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a rectangular see-saw-like geometry to two equivalent C(2) and two equivalent C(4) atoms. Both Lu(1)-C(2) bond lengths are 2.45 Å. Both Lu(1)-C(4) bond lengths are 2.45 Å. In the second Lu site, Lu(2) is bonded to one C(1), one C(2), one C(3), and two equivalent C(4) atoms to form a mixture of distorted corner and edge-sharing LuC5 square pyramids. The Lu(2)-C(1) bond length is 2.40 Å. The Lu(2)-C(2) bond length is 2.31 Å. The Lu(2)-C(3) bond length is 2.48 Å. Both Lu(2)-C(4) bond lengths are 2.46 Å. In the third Lu site, Lu(3) is bonded in a 8-coordinate geometry to two equivalent C(1), two equivalent C(3), and four equivalent C(4) atoms. Both Lu(3)-C(1) bond lengths are 2.68 Å. Both Lu(3)-C(3) bond lengths are 2.47 Å. There are two shorter (2.60 Å) and two longer (2.71 Å) Lu(3)-C(4) bond lengths. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 3-coordinate geometry to one C(1) and two equivalent C(2) atoms. The Mn(1)-C(1) bond length is 1.78 Å. Both Mn(1)-C(2) bond lengths are 1.90 Å. In the second Mn site, Mn(2) is bonded in a trigonal planar geometry to three equivalent C(4) atoms. All Mn(2)-C(4) bond lengths are 1.79 Å. There are four inequivalent C sites. In the first C site, C(1) is bonded in a 6-coordinate geometry to two equivalent Lu(2), two equivalent Lu(3), one Mn(1), and one C(3) atom. The C(1)-C(3) bond length is 1.36 Å. In the second C site, C(2) is bonded to two equivalent Lu(1), two equivalent Lu(2), and two equivalent Mn(1) atoms to form CLu4Mn2 octahedra that share corners with four equivalent C(2)Lu4Mn2 octahedra and edges with four equivalent C(4)Lu5Mn octahedra. The corner-sharing octahedral tilt angles range from 1-32°. In the third C site, C(3) is bonded in a 5-coordinate geometry to two equivalent Lu(2), two equivalent Lu(3), and one C(1) atom. In the fourth C site, C(4) is bonded to one Lu(1), two equivalent Lu(2), two equivalent Lu(3), and one Mn(2) atom to form distorted CLu5Mn octahedra that share corners with five equivalent C(4)Lu5Mn octahedra, edges with two equivalent C(2)Lu4Mn2 octahedra, and edges with three equivalent C(4)Lu5Mn octahedra. The corner-sharing octahedral tilt angles range from 8-44°.