Mg(Fe2O3)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(2), one O(7), and one O(8) atom. There are eight inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(11), one O(3), one O(4), one O(5), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Fe(4)O5 square pyramid, corners with three equivalent Fe(8)O5 trigonal bipyramids, edges with two equivalent Fe(5)O6 octahedra,  an edgeedge with one Fe(4)O5 square pyramid,  an edgeedge with one Fe(8)O5 trigonal bipyramid, and  a faceface with one Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-67°. In the second Fe site, Fe(2) is bonded to one O(10), one O(12), one O(2), one O(3), one O(4), and one O(6) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(8)O5 trigonal bipyramids, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Fe(6)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-67°. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(2), one O(3), one O(6), and one O(7) atom to form FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Fe(4)O5 square pyramid,  a cornercorner with one Fe(8)O5 trigonal bipyramid, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(6)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-64°. In the fourth Fe site, Fe(4) is bonded to one O(1), one O(11), one O(7), one O(8), and one O(9) atom to form distorted FeO5 square pyramids that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, and  an edgeedge with one Fe(8)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 16-69°. In the fifth Fe site, Fe(5) is bonded to one O(1), one O(11), one O(5), one O(7), one O(8), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, corners with three equivalent Fe(4)O5 square pyramids,  a cornercorner with one Fe(8)O5 trigonal bipyramid, edges with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Fe(4)O5 square pyramid, and  an edgeedge with one Fe(8)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 46-66°. In the sixth Fe site, Fe(6) is bonded to one O(10), one O(12), one O(2), one O(6), one O(7), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(4)O5 square pyramids,  an edgeedge with one Fe(7)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-66°. In the seventh Fe site, Fe(7) is bonded to one O(10), one O(12), one O(3), one O(4), one O(5), and one O(6) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with three equivalent Fe(8)O5 trigonal bipyramids,  an edgeedge with one Fe(6)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-53°. In the eighth Fe site, Fe(8) is bonded to one O(11), one O(3), one O(4), one O(5), and one O(9) atom to form distorted FeO5 trigonal bipyramids that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, corners with three equivalent Fe(7)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, and  an edgeedge with one Fe(4)O5 square pyramid. The corner-sharing octahedral tilt angles range from 13-81°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(1), one Fe(1), one Fe(4), and one Fe(5) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Fe(2), one Fe(3), and one Fe(6) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Fe(1), one Fe(2), one Fe(3), one Fe(7), and one Fe(8) atom. In the fourth O site, O(4) is bonded to one Fe(1), one Fe(2), one Fe(7), and one Fe(8) atom to form OFe4 tetrahedra that share corners with two equivalent O(10)MgFe4 square pyramids, corners with two equivalent O(6)Fe4 trigonal pyramids, and  an edgeedge with one O(12)MgFe4 square pyramid. In the fifth O site, O(5) is bonded in a distorted see-saw-like geometry to one Fe(1), one Fe(5), one Fe(7), and one Fe(8) atom. In the sixth O site, O(6) is bonded to one Fe(2), one Fe(3), one Fe(6), and one Fe(7) atom to form OFe4 trigonal pyramids that share corners with two equivalent O(10)MgFe4 square pyramids,  a cornercorner with one O(8)MgFe3 tetrahedra, corners with two equivalent O(4)Fe4 tetrahedra,  an edgeedge with one O(10)MgFe4 square pyramid, and edges with two equivalent O(12)MgFe4 square pyramids. In the seventh O site, O(7) is bonded in a 5-coordinate geometry to one Mg(1), one Fe(3), one Fe(4), one Fe(5), and one Fe(6) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Fe(4), one Fe(5), and one Fe(6) atom to form OMgFe3 tetrahedra that share corners with two equivalent O(12)MgFe4 square pyramids,  a cornercorner with one O(6)Fe4 trigonal pyramid, and  an edgeedge with one O(10)MgFe4 square pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(4), one Fe(5), and one Fe(8) atom. In the tenth O site, O(10) is bonded to one Mg(1), one Fe(2), one Fe(3), one Fe(6), and one Fe(7) atom to form OMgFe4 square pyramids that share  a cornercorner with one O(12)MgFe4 square pyramid, corners with two equivalent O(4)Fe4 tetrahedra, corners with two equivalent O(6)Fe4 trigonal pyramids, edges with two equivalent O(12)MgFe4 square pyramids,  an edgeedge with one O(8)MgFe3 tetrahedra, and  an edgeedge with one O(6)Fe4 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(4), one Fe(5), and one Fe(8) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Fe(2), one Fe(3), one Fe(6), and one Fe(7) atom to form OMgFe4 square pyramids that share  a cornercorner with one O(10)MgFe4 square pyramid, corners with two equivalent O(8)MgFe3 tetrahedra, edges with two equivalent O(10)MgFe4 square pyramids,  an edgeedge with one O(4)Fe4 tetrahedra, and edges with two equivalent O(6)Fe4 trigonal pyramids.
Mg(Fe2O3)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(2), one O(7), and one O(8) atom. The Mg(1)-O(1) bond length is 2.01 Å. The Mg(1)-O(10) bond length is 2.09 Å. The Mg(1)-O(12) bond length is 2.12 Å. The Mg(1)-O(2) bond length is 1.99 Å. The Mg(1)-O(7) bond length is 2.57 Å. The Mg(1)-O(8) bond length is 2.03 Å. There are eight inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(11), one O(3), one O(4), one O(5), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Fe(4)O5 square pyramid, corners with three equivalent Fe(8)O5 trigonal bipyramids, edges with two equivalent Fe(5)O6 octahedra,  an edgeedge with one Fe(4)O5 square pyramid,  an edgeedge with one Fe(8)O5 trigonal bipyramid, and  a faceface with one Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-67°. The Fe(1)-O(1) bond length is 1.95 Å. The Fe(1)-O(11) bond length is 2.00 Å. The Fe(1)-O(3) bond length is 2.23 Å. The Fe(1)-O(4) bond length is 2.01 Å. The Fe(1)-O(5) bond length is 2.36 Å. The Fe(1)-O(9) bond length is 2.03 Å. In the second Fe site, Fe(2) is bonded to one O(10), one O(12), one O(2), one O(3), one O(4), and one O(6) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(8)O5 trigonal bipyramids, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Fe(6)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-67°. The Fe(2)-O(10) bond length is 2.17 Å. The Fe(2)-O(12) bond length is 2.41 Å. The Fe(2)-O(2) bond length is 2.21 Å. The Fe(2)-O(3) bond length is 2.27 Å. The Fe(2)-O(4) bond length is 2.07 Å. The Fe(2)-O(6) bond length is 2.10 Å. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(2), one O(3), one O(6), and one O(7) atom to form FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Fe(4)O5 square pyramid,  a cornercorner with one Fe(8)O5 trigonal bipyramid, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(6)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-64°. The Fe(3)-O(10) bond length is 2.06 Å. The Fe(3)-O(12) bond length is 2.06 Å. The Fe(3)-O(2) bond length is 1.96 Å. The Fe(3)-O(3) bond length is 2.11 Å. The Fe(3)-O(6) bond length is 2.00 Å. The Fe(3)-O(7) bond length is 2.10 Å. In the fourth Fe site, Fe(4) is bonded to one O(1), one O(11), one O(7), one O(8), and one O(9) atom to form distorted FeO5 square pyramids that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, and  an edgeedge with one Fe(8)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 16-69°. The Fe(4)-O(1) bond length is 2.01 Å. The Fe(4)-O(11) bond length is 2.02 Å. The Fe(4)-O(7) bond length is 2.04 Å. The Fe(4)-O(8) bond length is 2.04 Å. The Fe(4)-O(9) bond length is 2.08 Å. In the fifth Fe site, Fe(5) is bonded to one O(1), one O(11), one O(5), one O(7), one O(8), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, corners with three equivalent Fe(4)O5 square pyramids,  a cornercorner with one Fe(8)O5 trigonal bipyramid, edges with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Fe(4)O5 square pyramid, and  an edgeedge with one Fe(8)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 46-66°. The Fe(5)-O(1) bond length is 2.25 Å. The Fe(5)-O(11) bond length is 2.20 Å. The Fe(5)-O(5) bond length is 2.11 Å. The Fe(5)-O(7) bond length is 2.43 Å. The Fe(5)-O(8) bond length is 2.06 Å. The Fe(5)-O(9) bond length is 2.07 Å. In the sixth Fe site, Fe(6) is bonded to one O(10), one O(12), one O(2), one O(6), one O(7), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(4)O5 square pyramids,  an edgeedge with one Fe(7)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-66°. The Fe(6)-O(10) bond length is 2.27 Å. The Fe(6)-O(12) bond length is 2.12 Å. The Fe(6)-O(2) bond length is 1.97 Å. The Fe(6)-O(6) bond length is 2.10 Å. The Fe(6)-O(7) bond length is 2.09 Å. The Fe(6)-O(8) bond length is 1.99 Å. In the seventh Fe site, Fe(7) is bonded to one O(10), one O(12), one O(3), one O(4), one O(5), and one O(6) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with three equivalent Fe(8)O5 trigonal bipyramids,  an edgeedge with one Fe(6)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-53°. The Fe(7)-O(10) bond length is 2.08 Å. The Fe(7)-O(12) bond length is 2.05 Å. The Fe(7)-O(3) bond length is 2.44 Å. The Fe(7)-O(4) bond length is 2.01 Å. The Fe(7)-O(5) bond length is 1.95 Å. The Fe(7)-O(6) bond length is 1.95 Å. In the eighth Fe site, Fe(8) is bonded to one O(11), one O(3), one O(4), one O(5), and one O(9) atom to form distorted FeO5 trigonal bipyramids that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, corners with three equivalent Fe(7)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, and  an edgeedge with one Fe(4)O5 square pyramid. The corner-sharing octahedral tilt angles range from 13-81°. The Fe(8)-O(11) bond length is 2.03 Å. The Fe(8)-O(3) bond length is 2.03 Å. The Fe(8)-O(4) bond length is 2.08 Å. The Fe(8)-O(5) bond length is 2.01 Å. The Fe(8)-O(9) bond length is 2.05 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(1), one Fe(1), one Fe(4), and one Fe(5) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Fe(2), one Fe(3), and one Fe(6) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Fe(1), one Fe(2), one Fe(3), one Fe(7), and one Fe(8) atom. In the fourth O site, O(4) is bonded to one Fe(1), one Fe(2), one Fe(7), and one Fe(8) atom to form OFe4 tetrahedra that share corners with two equivalent O(10)MgFe4 square pyramids, corners with two equivalent O(6)Fe4 trigonal pyramids, and  an edgeedge with one O(12)MgFe4 square pyramid. In the fifth O site, O(5) is bonded in a distorted see-saw-like geometry to one Fe(1), one Fe(5), one Fe(7), and one Fe(8) atom. In the sixth O site, O(6) is bonded to one Fe(2), one Fe(3), one Fe(6), and one Fe(7) atom to form OFe4 trigonal pyramids that share corners with two equivalent O(10)MgFe4 square pyramids,  a cornercorner with one O(8)MgFe3 tetrahedra, corners with two equivalent O(4)Fe4 tetrahedra,  an edgeedge with one O(10)MgFe4 square pyramid, and edges with two equivalent O(12)MgFe4 square pyramids. In the seventh O site, O(7) is bonded in a 5-coordinate geometry to one Mg(1), one Fe(3), one Fe(4), one Fe(5), and one Fe(6) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Fe(4), one Fe(5), and one Fe(6) atom to form OMgFe3 tetrahedra that share corners with two equivalent O(12)MgFe4 square pyramids,  a cornercorner with one O(6)Fe4 trigonal pyramid, and  an edgeedge with one O(10)MgFe4 square pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(4), one Fe(5), and one Fe(8) atom. In the tenth O site, O(10) is bonded to one Mg(1), one Fe(2), one Fe(3), one Fe(6), and one Fe(7) atom to form OMgFe4 square pyramids that share  a cornercorner with one O(12)MgFe4 square pyramid, corners with two equivalent O(4)Fe4 tetrahedra, corners with two equivalent O(6)Fe4 trigonal pyramids, edges with two equivalent O(12)MgFe4 square pyramids,  an edgeedge with one O(8)MgFe3 tetrahedra, and  an edgeedge with one O(6)Fe4 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(4), one Fe(5), and one Fe(8) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Fe(2), one Fe(3), one Fe(6), and one Fe(7) atom to form OMgFe4 square pyramids that share  a cornercorner with one O(10)MgFe4 square pyramid, corners with two equivalent O(8)MgFe3 tetrahedra, edges with two equivalent O(10)MgFe4 square pyramids,  an edgeedge with one O(4)Fe4 tetrahedra, and edges with two equivalent O(6)Fe4 trigonal pyramids.