MgMn2Co5O12 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(4)O6 octahedra, corners with two equivalent Co(5)O5 trigonal bipyramids,  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(4)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-17°. 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,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O5 trigonal bipyramid,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Co(5)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 17-24°. 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,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)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 7-15°. 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,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)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 4-18°. 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 distorted 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(4)O6 octahedra,  a cornercorner with one Co(5)O5 trigonal bipyramid,  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(4)O6 octahedra, and  an edgeedge with one Co(5)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 8-19°. In the third Co site, Co(3) 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 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(4)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(4)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and  an edgeedge with one Co(5)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 4-24°. 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 distorted CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)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 5-17°. In the fifth Co site, Co(5) is bonded to one O(1), one O(10), one O(2), one O(5), and one O(9) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-74°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1), one Co(2), 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 to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form a mixture of corner and edge-sharing OMgMnCo3 square pyramids. In the fourth O site, O(4) is bonded in a 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 distorted trigonal non-coplanar geometry to one Mn(1), one Co(2), and one Co(5) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Mg(1), one Mn(1), and one Co(3) atom. In the seventh O site, O(7) is bonded to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form a mixture of corner and edge-sharing OMgMnCo3 square pyramids. In the eighth O site, O(8) is bonded in a distorted 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 T-shaped geometry to one Mn(1), one Co(2), and one Co(5) atom. In the tenth O site, O(10) is bonded in a distorted 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 to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form a mixture of corner and edge-sharing OMgMnCo3 square pyramids. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom.
MgMn2Co5O12 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(4)O6 octahedra, corners with two equivalent Co(5)O5 trigonal bipyramids,  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(4)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-17°. The Mg(1)-O(10) bond length is 2.04 Å. The Mg(1)-O(11) bond length is 2.12 Å. The Mg(1)-O(2) bond length is 2.08 Å. The Mg(1)-O(3) bond length is 2.12 Å. The Mg(1)-O(6) bond length is 2.01 Å. The Mg(1)-O(7) bond length is 2.20 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,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O5 trigonal bipyramid,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Co(5)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 17-24°. The Mn(1)-O(1) bond length is 1.94 Å. The Mn(1)-O(10) bond length is 2.02 Å. The Mn(1)-O(2) bond length is 1.98 Å. The Mn(1)-O(5) bond length is 1.90 Å. The Mn(1)-O(6) bond length is 1.94 Å. The Mn(1)-O(9) bond length is 1.92 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,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)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 7-15°. The Mn(2)-O(11) bond length is 2.01 Å. The Mn(2)-O(12) bond length is 1.92 Å. The Mn(2)-O(3) bond length is 2.01 Å. The Mn(2)-O(4) bond length is 1.96 Å. The Mn(2)-O(7) bond length is 1.92 Å. The Mn(2)-O(8) bond length is 1.90 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,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)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 4-18°. The Co(1)-O(11) bond length is 2.27 Å. The Co(1)-O(12) bond length is 1.94 Å. The Co(1)-O(3) bond length is 2.04 Å. The Co(1)-O(4) bond length is 1.93 Å. The Co(1)-O(7) bond length is 2.08 Å. The Co(1)-O(8) bond length is 1.99 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 distorted 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(4)O6 octahedra,  a cornercorner with one Co(5)O5 trigonal bipyramid,  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(4)O6 octahedra, and  an edgeedge with one Co(5)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 8-19°. The Co(2)-O(1) bond length is 2.09 Å. The Co(2)-O(12) bond length is 2.22 Å. The Co(2)-O(4) bond length is 2.32 Å. The Co(2)-O(5) bond length is 2.06 Å. The Co(2)-O(8) bond length is 2.15 Å. The Co(2)-O(9) bond length is 2.02 Å. In the third Co site, Co(3) 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 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(4)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(4)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and  an edgeedge with one Co(5)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 4-24°. The Co(3)-O(10) bond length is 2.05 Å. The Co(3)-O(11) bond length is 2.00 Å. The Co(3)-O(2) bond length is 1.94 Å. The Co(3)-O(3) bond length is 2.16 Å. The Co(3)-O(6) bond length is 1.83 Å. The Co(3)-O(7) bond length is 2.05 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 distorted CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)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 5-17°. The Co(4)-O(11) bond length is 2.05 Å. The Co(4)-O(12) bond length is 1.98 Å. The Co(4)-O(3) bond length is 2.33 Å. The Co(4)-O(4) bond length is 2.03 Å. The Co(4)-O(7) bond length is 2.27 Å. The Co(4)-O(8) bond length is 2.09 Å. In the fifth Co site, Co(5) is bonded to one O(1), one O(10), one O(2), one O(5), and one O(9) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-74°. The Co(5)-O(1) bond length is 1.85 Å. The Co(5)-O(10) bond length is 1.92 Å. The Co(5)-O(2) bond length is 1.96 Å. The Co(5)-O(5) bond length is 1.82 Å. The Co(5)-O(9) bond length is 1.87 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1), one Co(2), 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 to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form a mixture of corner and edge-sharing OMgMnCo3 square pyramids. In the fourth O site, O(4) is bonded in a 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 distorted trigonal non-coplanar geometry to one Mn(1), one Co(2), and one Co(5) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Mg(1), one Mn(1), and one Co(3) atom. In the seventh O site, O(7) is bonded to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form a mixture of corner and edge-sharing OMgMnCo3 square pyramids. In the eighth O site, O(8) is bonded in a distorted 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 T-shaped geometry to one Mn(1), one Co(2), and one Co(5) atom. In the tenth O site, O(10) is bonded in a distorted 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 to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form a mixture of corner and edge-sharing OMgMnCo3 square pyramids. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom.