MgMn4Zn2O8 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(1), two equivalent O(2), and two equivalent O(4) atoms to form distorted MgO5 trigonal bipyramids that share corners with two equivalent Zn(1)O6 octahedra, corners with five equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-84°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a distorted rectangular see-saw-like geometry to one O(5), one O(6), and two equivalent O(4) atoms. In the second Mn site, Mn(2) is bonded in a rectangular see-saw-like geometry to one O(1), one O(3), and two equivalent O(2) atoms. In the third Mn site, Mn(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with five equivalent Mg(1)O5 trigonal bipyramids, edges with two equivalent Mn(4)O6 octahedra, and edges with four equivalent Zn(1)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share edges with two equivalent Mn(3)O6 octahedra, edges with four equivalent Zn(1)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. Zn(1) 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 ZnO6 octahedra that share  a cornercorner with one Mg(1)O5 trigonal bipyramid, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with two equivalent Zn(1)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(2), one Mn(3), and two equivalent Zn(1) atoms to form distorted OMgMn2Zn2 square pyramids that share  a cornercorner with one O(3)Mn2Zn2 tetrahedra, corners with two equivalent O(5)Mn2Zn2 tetrahedra, corners with three equivalent O(6)Mn2Zn2 tetrahedra,  an edgeedge with one O(3)Mn2Zn2 tetrahedra, and edges with four equivalent O(2)MgMn3Zn trigonal bipyramids. In the second O site, O(2) is bonded to one Mg(1), one Mn(2), one Mn(3), one Mn(4), and one Zn(1) atom to form OMgMn3Zn trigonal bipyramids that share  a cornercorner with one O(3)Mn2Zn2 tetrahedra, corners with two equivalent O(5)Mn2Zn2 tetrahedra, corners with two equivalent O(6)Mn2Zn2 tetrahedra, edges with two equivalent O(1)MgMn2Zn2 square pyramids,  an edgeedge with one O(3)Mn2Zn2 tetrahedra, and edges with two equivalent O(2)MgMn3Zn trigonal bipyramids. In the third O site, O(3) is bonded to one Mn(2), one Mn(4), and two equivalent Zn(1) atoms to form OMn2Zn2 tetrahedra that share  a cornercorner with one O(1)MgMn2Zn2 square pyramid, corners with two equivalent O(6)Mn2Zn2 tetrahedra, corners with three equivalent O(5)Mn2Zn2 tetrahedra, corners with two equivalent O(2)MgMn3Zn trigonal bipyramids,  an edgeedge with one O(1)MgMn2Zn2 square pyramid, and edges with two equivalent O(2)MgMn3Zn trigonal bipyramids. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Mg(1), one Mn(1), one Mn(3), one Mn(4), and one Zn(1) atom. In the fifth O site, O(5) is bonded to one Mn(1), one Mn(4), and two equivalent Zn(1) atoms to form OMn2Zn2 tetrahedra that share corners with two equivalent O(1)MgMn2Zn2 square pyramids,  a cornercorner with one O(6)Mn2Zn2 tetrahedra, corners with three equivalent O(3)Mn2Zn2 tetrahedra, corners with four equivalent O(2)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(6)Mn2Zn2 tetrahedra. In the sixth O site, O(6) is bonded to one Mn(1), one Mn(3), and two equivalent Zn(1) atoms to form distorted OMn2Zn2 tetrahedra that share corners with three equivalent O(1)MgMn2Zn2 square pyramids,  a cornercorner with one O(5)Mn2Zn2 tetrahedra, corners with two equivalent O(3)Mn2Zn2 tetrahedra, corners with four equivalent O(2)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(5)Mn2Zn2 tetrahedra.
MgMn4Zn2O8 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(1), two equivalent O(2), and two equivalent O(4) atoms to form distorted MgO5 trigonal bipyramids that share corners with two equivalent Zn(1)O6 octahedra, corners with five equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-84°. The Mg(1)-O(1) bond length is 2.06 Å. Both Mg(1)-O(2) bond lengths are 2.19 Å. Both Mg(1)-O(4) bond lengths are 2.06 Å. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a distorted rectangular see-saw-like geometry to one O(5), one O(6), and two equivalent O(4) atoms. The Mn(1)-O(5) bond length is 2.00 Å. The Mn(1)-O(6) bond length is 2.05 Å. Both Mn(1)-O(4) bond lengths are 2.14 Å. In the second Mn site, Mn(2) is bonded in a rectangular see-saw-like geometry to one O(1), one O(3), and two equivalent O(2) atoms. The Mn(2)-O(1) bond length is 2.21 Å. The Mn(2)-O(3) bond length is 1.96 Å. Both Mn(2)-O(2) bond lengths are 2.11 Å. In the third Mn site, Mn(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with five equivalent Mg(1)O5 trigonal bipyramids, edges with two equivalent Mn(4)O6 octahedra, and edges with four equivalent Zn(1)O6 octahedra. The Mn(3)-O(1) bond length is 2.05 Å. The Mn(3)-O(6) bond length is 2.01 Å. Both Mn(3)-O(2) bond lengths are 2.39 Å. Both Mn(3)-O(4) bond lengths are 2.23 Å. In the fourth Mn site, Mn(4) is bonded to one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share edges with two equivalent Mn(3)O6 octahedra, edges with four equivalent Zn(1)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. The Mn(4)-O(3) bond length is 1.93 Å. The Mn(4)-O(5) bond length is 1.93 Å. Both Mn(4)-O(2) bond lengths are 2.13 Å. Both Mn(4)-O(4) bond lengths are 2.12 Å. Zn(1) 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 ZnO6 octahedra that share  a cornercorner with one Mg(1)O5 trigonal bipyramid, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with two equivalent Zn(1)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The Zn(1)-O(1) bond length is 2.30 Å. The Zn(1)-O(2) bond length is 2.12 Å. The Zn(1)-O(3) bond length is 1.99 Å. The Zn(1)-O(4) bond length is 2.49 Å. The Zn(1)-O(5) bond length is 1.98 Å. The Zn(1)-O(6) bond length is 2.17 Å. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(2), one Mn(3), and two equivalent Zn(1) atoms to form distorted OMgMn2Zn2 square pyramids that share  a cornercorner with one O(3)Mn2Zn2 tetrahedra, corners with two equivalent O(5)Mn2Zn2 tetrahedra, corners with three equivalent O(6)Mn2Zn2 tetrahedra,  an edgeedge with one O(3)Mn2Zn2 tetrahedra, and edges with four equivalent O(2)MgMn3Zn trigonal bipyramids. In the second O site, O(2) is bonded to one Mg(1), one Mn(2), one Mn(3), one Mn(4), and one Zn(1) atom to form OMgMn3Zn trigonal bipyramids that share  a cornercorner with one O(3)Mn2Zn2 tetrahedra, corners with two equivalent O(5)Mn2Zn2 tetrahedra, corners with two equivalent O(6)Mn2Zn2 tetrahedra, edges with two equivalent O(1)MgMn2Zn2 square pyramids,  an edgeedge with one O(3)Mn2Zn2 tetrahedra, and edges with two equivalent O(2)MgMn3Zn trigonal bipyramids. In the third O site, O(3) is bonded to one Mn(2), one Mn(4), and two equivalent Zn(1) atoms to form OMn2Zn2 tetrahedra that share  a cornercorner with one O(1)MgMn2Zn2 square pyramid, corners with two equivalent O(6)Mn2Zn2 tetrahedra, corners with three equivalent O(5)Mn2Zn2 tetrahedra, corners with two equivalent O(2)MgMn3Zn trigonal bipyramids,  an edgeedge with one O(1)MgMn2Zn2 square pyramid, and edges with two equivalent O(2)MgMn3Zn trigonal bipyramids. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Mg(1), one Mn(1), one Mn(3), one Mn(4), and one Zn(1) atom. In the fifth O site, O(5) is bonded to one Mn(1), one Mn(4), and two equivalent Zn(1) atoms to form OMn2Zn2 tetrahedra that share corners with two equivalent O(1)MgMn2Zn2 square pyramids,  a cornercorner with one O(6)Mn2Zn2 tetrahedra, corners with three equivalent O(3)Mn2Zn2 tetrahedra, corners with four equivalent O(2)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(6)Mn2Zn2 tetrahedra. In the sixth O site, O(6) is bonded to one Mn(1), one Mn(3), and two equivalent Zn(1) atoms to form distorted OMn2Zn2 tetrahedra that share corners with three equivalent O(1)MgMn2Zn2 square pyramids,  a cornercorner with one O(5)Mn2Zn2 tetrahedra, corners with two equivalent O(3)Mn2Zn2 tetrahedra, corners with four equivalent O(2)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(5)Mn2Zn2 tetrahedra.