MgZn(FeO2)4 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(1), two equivalent O(5), and two equivalent O(8) atoms to form MgO5 square pyramids that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, edges with two equivalent Mg(1)O5 square pyramids, and  a faceface with one Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-61°. There are four inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(2), one O(7), two equivalent O(4), and two equivalent O(5) atoms to form distorted FeO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Mg(1)O5 square pyramid, and edges with two equivalent Zn(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 49-55°. In the second Fe site, Fe(2) is bonded to one O(4), one O(8), two equivalent O(3), and two equivalent O(6) atoms to form distorted FeO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Zn(1)O5 square pyramids, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Zn(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-55°. In the third Fe site, Fe(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form distorted FeO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Zn(1)O5 square pyramids, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-55°. In the fourth Fe site, Fe(4) is bonded to one O(3), one O(5), two equivalent O(1), and two equivalent O(7) atoms to form distorted FeO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Zn(1)O5 square pyramids, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Zn(1)O5 square pyramid, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 49-55°. Zn(1) is bonded to one O(4), two equivalent O(6), and two equivalent O(7) atoms to form ZnO5 square pyramids that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Zn(1)O5 square pyramids, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-60°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Fe(3), and two equivalent Fe(4) atoms to form OMgFe3 trigonal pyramids that share corners with two equivalent O(7)Zn2Fe3 square pyramids, corners with two equivalent O(1)MgFe3 trigonal pyramids,  an edgeedge with one O(7)Zn2Fe3 square pyramid, and edges with two equivalent O(5)Mg2Fe3 square pyramids. In the second O site, O(2) is bonded in a trigonal planar geometry to one Fe(1) and two equivalent Fe(3) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to one Fe(4) and two equivalent Fe(2) atoms. In the fourth O site, O(4) is bonded to one Fe(2), two equivalent Fe(1), and one Zn(1) atom to form OZnFe3 trigonal pyramids that share corners with two equivalent O(5)Mg2Fe3 square pyramids, corners with two equivalent O(4)ZnFe3 trigonal pyramids,  an edgeedge with one O(5)Mg2Fe3 square pyramid, and edges with two equivalent O(7)Zn2Fe3 square pyramids. In the fifth O site, O(5) is bonded to two equivalent Mg(1), one Fe(4), and two equivalent Fe(1) atoms to form distorted OMg2Fe3 square pyramids that share corners with two equivalent O(4)ZnFe3 trigonal pyramids, edges with two equivalent O(5)Mg2Fe3 square pyramids, edges with two equivalent O(7)Zn2Fe3 square pyramids,  an edgeedge with one O(4)ZnFe3 trigonal pyramid, and edges with two equivalent O(1)MgFe3 trigonal pyramids. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Fe(3), two equivalent Fe(2), and two equivalent Zn(1) atoms. In the seventh O site, O(7) is bonded to one Fe(1), two equivalent Fe(4), and two equivalent Zn(1) atoms to form distorted OZn2Fe3 square pyramids that share corners with two equivalent O(1)MgFe3 trigonal pyramids, edges with two equivalent O(5)Mg2Fe3 square pyramids, edges with two equivalent O(7)Zn2Fe3 square pyramids,  an edgeedge with one O(1)MgFe3 trigonal pyramid, and edges with two equivalent O(4)ZnFe3 trigonal pyramids. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to two equivalent Mg(1), one Fe(2), and two equivalent Fe(3) atoms.
MgZn(FeO2)4 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(1), two equivalent O(5), and two equivalent O(8) atoms to form MgO5 square pyramids that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, edges with two equivalent Mg(1)O5 square pyramids, and  a faceface with one Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-61°. The Mg(1)-O(1) bond length is 2.07 Å. Both Mg(1)-O(5) bond lengths are 2.07 Å. Both Mg(1)-O(8) bond lengths are 2.08 Å. There are four inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(2), one O(7), two equivalent O(4), and two equivalent O(5) atoms to form distorted FeO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Mg(1)O5 square pyramid, and edges with two equivalent Zn(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 49-55°. The Fe(1)-O(2) bond length is 1.95 Å. The Fe(1)-O(7) bond length is 2.47 Å. Both Fe(1)-O(4) bond lengths are 1.99 Å. Both Fe(1)-O(5) bond lengths are 2.10 Å. In the second Fe site, Fe(2) is bonded to one O(4), one O(8), two equivalent O(3), and two equivalent O(6) atoms to form distorted FeO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Zn(1)O5 square pyramids, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Zn(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-55°. The Fe(2)-O(4) bond length is 2.07 Å. The Fe(2)-O(8) bond length is 2.01 Å. Both Fe(2)-O(3) bond lengths are 1.95 Å. Both Fe(2)-O(6) bond lengths are 2.24 Å. In the third Fe site, Fe(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form distorted FeO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Zn(1)O5 square pyramids, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-55°. The Fe(3)-O(1) bond length is 2.07 Å. The Fe(3)-O(6) bond length is 2.01 Å. Both Fe(3)-O(2) bond lengths are 1.94 Å. Both Fe(3)-O(8) bond lengths are 2.24 Å. In the fourth Fe site, Fe(4) is bonded to one O(3), one O(5), two equivalent O(1), and two equivalent O(7) atoms to form distorted FeO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Zn(1)O5 square pyramids, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Zn(1)O5 square pyramid, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 49-55°. The Fe(4)-O(3) bond length is 1.95 Å. The Fe(4)-O(5) bond length is 2.50 Å. Both Fe(4)-O(1) bond lengths are 1.98 Å. Both Fe(4)-O(7) bond lengths are 2.10 Å. Zn(1) is bonded to one O(4), two equivalent O(6), and two equivalent O(7) atoms to form ZnO5 square pyramids that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Zn(1)O5 square pyramids, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-60°. The Zn(1)-O(4) bond length is 2.11 Å. Both Zn(1)-O(6) bond lengths are 2.08 Å. Both Zn(1)-O(7) bond lengths are 2.08 Å. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Fe(3), and two equivalent Fe(4) atoms to form OMgFe3 trigonal pyramids that share corners with two equivalent O(7)Zn2Fe3 square pyramids, corners with two equivalent O(1)MgFe3 trigonal pyramids,  an edgeedge with one O(7)Zn2Fe3 square pyramid, and edges with two equivalent O(5)Mg2Fe3 square pyramids. In the second O site, O(2) is bonded in a trigonal planar geometry to one Fe(1) and two equivalent Fe(3) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to one Fe(4) and two equivalent Fe(2) atoms. In the fourth O site, O(4) is bonded to one Fe(2), two equivalent Fe(1), and one Zn(1) atom to form OZnFe3 trigonal pyramids that share corners with two equivalent O(5)Mg2Fe3 square pyramids, corners with two equivalent O(4)ZnFe3 trigonal pyramids,  an edgeedge with one O(5)Mg2Fe3 square pyramid, and edges with two equivalent O(7)Zn2Fe3 square pyramids. In the fifth O site, O(5) is bonded to two equivalent Mg(1), one Fe(4), and two equivalent Fe(1) atoms to form distorted OMg2Fe3 square pyramids that share corners with two equivalent O(4)ZnFe3 trigonal pyramids, edges with two equivalent O(5)Mg2Fe3 square pyramids, edges with two equivalent O(7)Zn2Fe3 square pyramids,  an edgeedge with one O(4)ZnFe3 trigonal pyramid, and edges with two equivalent O(1)MgFe3 trigonal pyramids. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Fe(3), two equivalent Fe(2), and two equivalent Zn(1) atoms. In the seventh O site, O(7) is bonded to one Fe(1), two equivalent Fe(4), and two equivalent Zn(1) atoms to form distorted OZn2Fe3 square pyramids that share corners with two equivalent O(1)MgFe3 trigonal pyramids, edges with two equivalent O(5)Mg2Fe3 square pyramids, edges with two equivalent O(7)Zn2Fe3 square pyramids,  an edgeedge with one O(1)MgFe3 trigonal pyramid, and edges with two equivalent O(4)ZnFe3 trigonal pyramids. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to two equivalent Mg(1), one Fe(2), and two equivalent Fe(3) atoms.