MgMn2Co5O12 is Corundum-derived structured and crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. In the second Mn site, Mn(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the second Co site, Co(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the third Co site, Co(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom.
MgMn2Co5O12 is Corundum-derived structured and crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. Both Mg(1)-O(1) bond lengths are 2.12 Å. Both Mg(1)-O(3) bond lengths are 2.01 Å. Both Mg(1)-O(5) bond lengths are 2.13 Å. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. Both Mn(1)-O(1) bond lengths are 1.96 Å. Both Mn(1)-O(3) bond lengths are 1.89 Å. Both Mn(1)-O(5) bond lengths are 2.00 Å. In the second Mn site, Mn(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. Both Mn(2)-O(2) bond lengths are 1.98 Å. Both Mn(2)-O(4) bond lengths are 1.93 Å. Both Mn(2)-O(6) bond lengths are 1.93 Å. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. Both Co(1)-O(2) bond lengths are 2.05 Å. Both Co(1)-O(4) bond lengths are 1.92 Å. Both Co(1)-O(6) bond lengths are 2.11 Å. In the second Co site, Co(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. The Co(2)-O(1) bond length is 2.13 Å. The Co(2)-O(2) bond length is 2.08 Å. The Co(2)-O(3) bond length is 2.14 Å. The Co(2)-O(4) bond length is 2.16 Å. The Co(2)-O(5) bond length is 2.12 Å. The Co(2)-O(6) bond length is 2.19 Å. In the third Co site, Co(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. Both Co(3)-O(2) bond lengths are 2.03 Å. Both Co(3)-O(4) bond lengths are 2.14 Å. Both Co(3)-O(6) bond lengths are 1.92 Å. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. Both Co(4)-O(1) bond lengths are 1.87 Å. Both Co(4)-O(3) bond lengths are 2.09 Å. Both Co(4)-O(5) bond lengths are 1.95 Å. There are six inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom.