MgCr2Mn5O12 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. In the second Mn site, Mn(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 distorted MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-16°. In the third Mn site, Mn(3) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the fourth Mn site, Mn(4) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 8°. 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 Cr(1), one Mn(2), and one Mn(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom.
MgCr2Mn5O12 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. 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 2.14 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. Both Cr(1)-O(1) bond lengths are 2.01 Å. Both Cr(1)-O(3) bond lengths are 1.97 Å. Both Cr(1)-O(5) bond lengths are 2.10 Å. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. Both Cr(2)-O(2) bond lengths are 2.10 Å. Both Cr(2)-O(4) bond lengths are 1.99 Å. Both Cr(2)-O(6) bond lengths are 2.01 Å. There are four inequivalent Mn sites. In the first Mn site, Mn(1) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. Both Mn(1)-O(2) bond lengths are 2.09 Å. Both Mn(1)-O(4) bond lengths are 1.92 Å. Both Mn(1)-O(6) bond lengths are 2.11 Å. In the second Mn site, Mn(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 distorted MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-16°. The Mn(2)-O(1) bond length is 2.10 Å. The Mn(2)-O(2) bond length is 2.13 Å. The Mn(2)-O(3) bond length is 2.21 Å. The Mn(2)-O(4) bond length is 2.49 Å. The Mn(2)-O(5) bond length is 2.05 Å. The Mn(2)-O(6) bond length is 2.22 Å. In the third Mn site, Mn(3) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. Both Mn(3)-O(2) bond lengths are 1.95 Å. Both Mn(3)-O(4) bond lengths are 1.99 Å. Both Mn(3)-O(6) bond lengths are 1.94 Å. In the fourth Mn site, Mn(4) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 8°. Both Mn(4)-O(1) bond lengths are 1.94 Å. Both Mn(4)-O(3) bond lengths are 1.99 Å. Both Mn(4)-O(5) bond lengths are 1.96 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 Cr(1), one Mn(2), and one Mn(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom.