MgMn2Co5O12 is Corundum-derived structured and crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(11), one O(2), one O(3), one O(6), and one O(7) atom to form MgO6 octahedra that share  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,  a cornercorner with one Co(5)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,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Co(3)O6 octahedra, and edges with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-14°. In the second Co site, Co(2) is bonded to one O(1), one O(12), one O(4), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share  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,  a cornercorner with one Co(5)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,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the third Co site, Co(3) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-13°. In the fourth Co site, Co(4) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one 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 range from 11-13°. In the fifth Co site, Co(5) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Co(2), one Co(3), and one Co(5) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(2), one Co(1), 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(4) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Co(2), one Co(3), and one Co(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(2), one Co(1), and one Co(4) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Co(2), one Co(3), and one Co(5) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(2), one Co(1), and one Co(4) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom.
MgMn2Co5O12 is Corundum-derived structured and crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(11), one O(2), one O(3), one O(6), and one O(7) atom to form MgO6 octahedra that share  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,  a cornercorner with one Co(5)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,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. The Mg(1)-O(10) bond length is 2.12 Å. The Mg(1)-O(11) bond length is 2.16 Å. The Mg(1)-O(2) bond length is 2.15 Å. The Mg(1)-O(3) bond length is 2.12 Å. The Mg(1)-O(6) bond length is 2.13 Å. The Mg(1)-O(7) bond length is 2.18 Å. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Co(3)O6 octahedra, and edges with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. The Mn(1)-O(1) bond length is 1.94 Å. The Mn(1)-O(10) bond length is 1.97 Å. The Mn(1)-O(2) bond length is 1.94 Å. The Mn(1)-O(5) bond length is 1.94 Å. The Mn(1)-O(6) bond length is 1.93 Å. The Mn(1)-O(9) bond length is 1.95 Å. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. The Mn(2)-O(11) bond length is 1.94 Å. The Mn(2)-O(12) bond length is 1.93 Å. The Mn(2)-O(3) bond length is 1.96 Å. The Mn(2)-O(4) bond length is 1.97 Å. The Mn(2)-O(7) bond length is 1.93 Å. The Mn(2)-O(8) bond length is 1.93 Å. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-14°. The Co(1)-O(11) bond length is 2.14 Å. The Co(1)-O(12) bond length is 2.13 Å. The Co(1)-O(3) bond length is 2.06 Å. The Co(1)-O(4) bond length is 2.03 Å. The Co(1)-O(7) bond length is 1.92 Å. The Co(1)-O(8) bond length is 1.91 Å. In the second Co site, Co(2) is bonded to one O(1), one O(12), one O(4), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share  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,  a cornercorner with one Co(5)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,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. The Co(2)-O(1) bond length is 2.14 Å. The Co(2)-O(12) bond length is 2.14 Å. The Co(2)-O(4) bond length is 2.07 Å. The Co(2)-O(5) bond length is 2.27 Å. The Co(2)-O(8) bond length is 2.21 Å. The Co(2)-O(9) bond length is 2.06 Å. In the third Co site, Co(3) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-13°. The Co(3)-O(1) bond length is 2.10 Å. The Co(3)-O(10) bond length is 2.12 Å. The Co(3)-O(2) bond length is 2.10 Å. The Co(3)-O(5) bond length is 1.92 Å. The Co(3)-O(6) bond length is 1.90 Å. The Co(3)-O(9) bond length is 2.04 Å. In the fourth Co site, Co(4) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one 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 range from 11-13°. The Co(4)-O(11) bond length is 1.91 Å. The Co(4)-O(12) bond length is 1.92 Å. The Co(4)-O(3) bond length is 2.05 Å. The Co(4)-O(4) bond length is 2.07 Å. The Co(4)-O(7) bond length is 2.12 Å. The Co(4)-O(8) bond length is 2.10 Å. In the fifth Co site, Co(5) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. The Co(5)-O(1) bond length is 1.90 Å. The Co(5)-O(10) bond length is 1.94 Å. The Co(5)-O(2) bond length is 1.90 Å. The Co(5)-O(5) bond length is 2.04 Å. The Co(5)-O(6) bond length is 2.20 Å. The Co(5)-O(9) bond length is 2.08 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Co(2), one Co(3), and one Co(5) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(2), one Co(1), 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(4) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Co(2), one Co(3), and one Co(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(2), one Co(1), and one Co(4) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Co(2), one Co(3), and one Co(5) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(2), one Co(1), and one Co(4) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom.