Fe3O4 is Hausmannite structured and crystallizes in the monoclinic Pm space group. There are twenty inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(12), one O(17), one O(20), one O(3), one O(4), and one O(5) atom to form FeO6 octahedra that share  a cornercorner with one Fe(15)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Fe(11)O4 tetrahedra, corners with two equivalent Fe(16)O4 tetrahedra,  an edgeedge with one Fe(10)O6 octahedra,  an edgeedge with one Fe(14)O6 octahedra,  an edgeedge with one Fe(19)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. In the second Fe site, Fe(2) is bonded to one O(1), one O(13), one O(15), one O(2), one O(21), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Fe(12)O4 tetrahedra,  a cornercorner with one Fe(13)O4 tetrahedra, corners with two equivalent Fe(17)O4 tetrahedra, corners with two equivalent Fe(20)O4 tetrahedra,  an edgeedge with one Fe(18)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Fe(9)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. In the third Fe site, Fe(3) is bonded to one O(10), one O(11), one O(18), one O(19), one O(23), and one O(6) atom to form FeO6 octahedra that share  a cornercorner with one Fe(11)O4 tetrahedra,  a cornercorner with one Fe(17)O4 tetrahedra, corners with two equivalent Fe(12)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Fe(14)O6 octahedra,  an edgeedge with one Fe(19)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(9)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. In the fourth Fe site, Fe(4) is bonded to one O(10), one O(18), and two equivalent O(4) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-59°. In the fifth Fe site, Fe(5) is bonded to one O(10), one O(8), two equivalent O(1), and two equivalent O(11) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(20)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Fe(12)O4 tetrahedra, corners with two equivalent Fe(17)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(9)O6 octahedra. In the sixth Fe site, Fe(6) is bonded to one O(14), one O(2), two equivalent O(15), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(15)O4 tetrahedra,  a cornercorner with one Fe(17)O4 tetrahedra, corners with two equivalent Fe(13)O4 tetrahedra, corners with two equivalent Fe(20)O4 tetrahedra, edges with two equivalent Fe(18)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. In the seventh Fe site, Fe(7) is bonded to one O(14), one O(16), one O(22), one O(24), one O(7), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Fe(16)O4 tetrahedra,  a cornercorner with one Fe(20)O4 tetrahedra, corners with two equivalent Fe(13)O4 tetrahedra, corners with two equivalent Fe(15)O4 tetrahedra,  an edgeedge with one Fe(10)O6 octahedra,  an edgeedge with one Fe(18)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. In the eighth Fe site, Fe(8) is bonded to one O(20), one O(9), two equivalent O(16), and two equivalent O(5) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(11)O4 tetrahedra,  a cornercorner with one Fe(13)O4 tetrahedra, corners with two equivalent Fe(15)O4 tetrahedra, corners with two equivalent Fe(16)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(10)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. In the ninth Fe site, Fe(9) is bonded to one O(13), one O(18), two equivalent O(1), and two equivalent O(11) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(20)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Fe(12)O4 tetrahedra, corners with two equivalent Fe(17)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(5)O6 octahedra. In the tenth Fe site, Fe(10) is bonded to one O(24), one O(3), two equivalent O(16), and two equivalent O(5) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(11)O4 tetrahedra,  a cornercorner with one Fe(13)O4 tetrahedra, corners with two equivalent Fe(15)O4 tetrahedra, corners with two equivalent Fe(16)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(7)O6 octahedra, and edges with two equivalent Fe(8)O6 octahedra. In the eleventh Fe site, Fe(11) is bonded to one O(20), one O(3), and two equivalent O(23) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-63°. In the twelfth Fe site, Fe(12) is bonded to one O(19), one O(6), and two equivalent O(1) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-59°. In the thirteenth Fe site, Fe(13) is bonded to one O(24), one O(9), and two equivalent O(15) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-63°. In the fourteenth Fe site, Fe(14) is bonded to one O(12), one O(6), two equivalent O(23), and two equivalent O(4) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(12)O4 tetrahedra,  a cornercorner with one Fe(16)O4 tetrahedra, corners with two equivalent Fe(11)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(19)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. In the fifteenth Fe site, Fe(15) is bonded to one O(14), one O(22), and two equivalent O(5) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-58°. In the sixteenth Fe site, Fe(16) is bonded to one O(12), one O(17), and two equivalent O(16) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-63°. In the seventeenth Fe site, Fe(17) is bonded to one O(2), one O(21), and two equivalent O(11) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-59°. In the eighteenth Fe site, Fe(18) is bonded to one O(21), one O(22), two equivalent O(15), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(15)O4 tetrahedra,  a cornercorner with one Fe(17)O4 tetrahedra, corners with two equivalent Fe(13)O4 tetrahedra, corners with two equivalent Fe(20)O4 tetrahedra, 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. In the nineteenth Fe site, Fe(19) is bonded to one O(17), one O(19), two equivalent O(23), and two equivalent O(4) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(12)O4 tetrahedra,  a cornercorner with one Fe(16)O4 tetrahedra, corners with two equivalent Fe(11)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(14)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. In the twentieth Fe site, Fe(20) is bonded to one O(13), one O(8), and two equivalent O(7) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-66°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Fe(12), one Fe(2), one Fe(5), and one Fe(9) atom. In the second O site, O(2) is bonded to one Fe(17), one Fe(6), and two equivalent Fe(2) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the third O site, O(3) is bonded to one Fe(10), one Fe(11), and two equivalent Fe(1) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fourth O site, O(4) is bonded to one Fe(1), one Fe(14), one Fe(19), and one Fe(4) atom to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Fe(1), one Fe(10), one Fe(15), and one Fe(8) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Fe(12), one Fe(14), and two equivalent Fe(3) atoms. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Fe(18), one Fe(20), one Fe(6), and one Fe(7) atom. In the eighth O site, O(8) is bonded to one Fe(20), one Fe(5), and two equivalent Fe(2) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the ninth O site, O(9) is bonded to one Fe(13), one Fe(8), and two equivalent Fe(7) atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Fe(4), one Fe(5), and two equivalent Fe(3) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Fe(17), one Fe(3), one Fe(5), and one Fe(9) atom. In the twelfth O site, O(12) is bonded to one Fe(14), one Fe(16), and two equivalent Fe(1) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the thirteenth O site, O(13) is bonded to one Fe(20), one Fe(9), and two equivalent Fe(2) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Fe(15), one Fe(6), and two equivalent Fe(7) atoms. In the fifteenth O site, O(15) is bonded to one Fe(13), one Fe(18), one Fe(2), and one Fe(6) atom to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Fe(10), one Fe(16), one Fe(7), and one Fe(8) atom. In the seventeenth O site, O(17) is bonded to one Fe(16), one Fe(19), and two equivalent Fe(1) atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Fe(4), one Fe(9), and two equivalent Fe(3) atoms. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Fe(12), one Fe(19), and two equivalent Fe(3) atoms. In the twentieth O site, O(20) is bonded to one Fe(11), one Fe(8), and two equivalent Fe(1) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twenty-first O site, O(21) is bonded to one Fe(17), one Fe(18), and two equivalent Fe(2) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twenty-second O site, O(22) is bonded in a distorted rectangular see-saw-like geometry to one Fe(15), one Fe(18), and two equivalent Fe(7) atoms. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Fe(11), one Fe(14), one Fe(19), and one Fe(3) atom. In the twenty-fourth O site, O(24) is bonded in a distorted rectangular see-saw-like geometry to one Fe(10), one Fe(13), and two equivalent Fe(7) atoms.
Fe3O4 is Hausmannite structured and crystallizes in the monoclinic Pm space group. There are twenty inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(12), one O(17), one O(20), one O(3), one O(4), and one O(5) atom to form FeO6 octahedra that share  a cornercorner with one Fe(15)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Fe(11)O4 tetrahedra, corners with two equivalent Fe(16)O4 tetrahedra,  an edgeedge with one Fe(10)O6 octahedra,  an edgeedge with one Fe(14)O6 octahedra,  an edgeedge with one Fe(19)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The Fe(1)-O(12) bond length is 2.04 Å. The Fe(1)-O(17) bond length is 2.04 Å. The Fe(1)-O(20) bond length is 2.04 Å. The Fe(1)-O(3) bond length is 2.05 Å. The Fe(1)-O(4) bond length is 2.07 Å. The Fe(1)-O(5) bond length is 2.10 Å. In the second Fe site, Fe(2) is bonded to one O(1), one O(13), one O(15), one O(2), one O(21), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Fe(12)O4 tetrahedra,  a cornercorner with one Fe(13)O4 tetrahedra, corners with two equivalent Fe(17)O4 tetrahedra, corners with two equivalent Fe(20)O4 tetrahedra,  an edgeedge with one Fe(18)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Fe(9)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The Fe(2)-O(1) bond length is 2.04 Å. The Fe(2)-O(13) bond length is 2.05 Å. The Fe(2)-O(15) bond length is 2.04 Å. The Fe(2)-O(2) bond length is 2.09 Å. The Fe(2)-O(21) bond length is 2.09 Å. The Fe(2)-O(8) bond length is 2.01 Å. In the third Fe site, Fe(3) is bonded to one O(10), one O(11), one O(18), one O(19), one O(23), and one O(6) atom to form FeO6 octahedra that share  a cornercorner with one Fe(11)O4 tetrahedra,  a cornercorner with one Fe(17)O4 tetrahedra, corners with two equivalent Fe(12)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Fe(14)O6 octahedra,  an edgeedge with one Fe(19)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(9)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. The Fe(3)-O(10) bond length is 2.14 Å. The Fe(3)-O(11) bond length is 2.14 Å. The Fe(3)-O(18) bond length is 2.17 Å. The Fe(3)-O(19) bond length is 2.15 Å. The Fe(3)-O(23) bond length is 2.16 Å. The Fe(3)-O(6) bond length is 2.14 Å. In the fourth Fe site, Fe(4) is bonded to one O(10), one O(18), and two equivalent O(4) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-59°. The Fe(4)-O(10) bond length is 1.88 Å. The Fe(4)-O(18) bond length is 1.91 Å. Both Fe(4)-O(4) bond lengths are 1.98 Å. In the fifth Fe site, Fe(5) is bonded to one O(10), one O(8), two equivalent O(1), and two equivalent O(11) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(20)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Fe(12)O4 tetrahedra, corners with two equivalent Fe(17)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(9)O6 octahedra. The Fe(5)-O(10) bond length is 2.05 Å. The Fe(5)-O(8) bond length is 2.11 Å. Both Fe(5)-O(1) bond lengths are 2.15 Å. Both Fe(5)-O(11) bond lengths are 2.21 Å. In the sixth Fe site, Fe(6) is bonded to one O(14), one O(2), two equivalent O(15), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(15)O4 tetrahedra,  a cornercorner with one Fe(17)O4 tetrahedra, corners with two equivalent Fe(13)O4 tetrahedra, corners with two equivalent Fe(20)O4 tetrahedra, edges with two equivalent Fe(18)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. The Fe(6)-O(14) bond length is 2.03 Å. The Fe(6)-O(2) bond length is 2.07 Å. Both Fe(6)-O(15) bond lengths are 2.06 Å. Both Fe(6)-O(7) bond lengths are 2.06 Å. In the seventh Fe site, Fe(7) is bonded to one O(14), one O(16), one O(22), one O(24), one O(7), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Fe(16)O4 tetrahedra,  a cornercorner with one Fe(20)O4 tetrahedra, corners with two equivalent Fe(13)O4 tetrahedra, corners with two equivalent Fe(15)O4 tetrahedra,  an edgeedge with one Fe(10)O6 octahedra,  an edgeedge with one Fe(18)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. The Fe(7)-O(14) bond length is 2.16 Å. The Fe(7)-O(16) bond length is 2.09 Å. The Fe(7)-O(22) bond length is 2.12 Å. The Fe(7)-O(24) bond length is 2.05 Å. The Fe(7)-O(7) bond length is 2.07 Å. The Fe(7)-O(9) bond length is 2.02 Å. In the eighth Fe site, Fe(8) is bonded to one O(20), one O(9), two equivalent O(16), and two equivalent O(5) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(11)O4 tetrahedra,  a cornercorner with one Fe(13)O4 tetrahedra, corners with two equivalent Fe(15)O4 tetrahedra, corners with two equivalent Fe(16)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(10)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. The Fe(8)-O(20) bond length is 2.05 Å. The Fe(8)-O(9) bond length is 2.01 Å. Both Fe(8)-O(16) bond lengths are 2.02 Å. Both Fe(8)-O(5) bond lengths are 2.12 Å. In the ninth Fe site, Fe(9) is bonded to one O(13), one O(18), two equivalent O(1), and two equivalent O(11) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(20)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Fe(12)O4 tetrahedra, corners with two equivalent Fe(17)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(5)O6 octahedra. The Fe(9)-O(13) bond length is 2.05 Å. The Fe(9)-O(18) bond length is 2.03 Å. Both Fe(9)-O(1) bond lengths are 2.09 Å. Both Fe(9)-O(11) bond lengths are 2.05 Å. In the tenth Fe site, Fe(10) is bonded to one O(24), one O(3), two equivalent O(16), and two equivalent O(5) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(11)O4 tetrahedra,  a cornercorner with one Fe(13)O4 tetrahedra, corners with two equivalent Fe(15)O4 tetrahedra, corners with two equivalent Fe(16)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(7)O6 octahedra, and edges with two equivalent Fe(8)O6 octahedra. The Fe(10)-O(24) bond length is 2.03 Å. The Fe(10)-O(3) bond length is 2.06 Å. Both Fe(10)-O(16) bond lengths are 2.02 Å. Both Fe(10)-O(5) bond lengths are 2.12 Å. In the eleventh Fe site, Fe(11) is bonded to one O(20), one O(3), and two equivalent O(23) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-63°. The Fe(11)-O(20) bond length is 2.08 Å. The Fe(11)-O(3) bond length is 2.09 Å. Both Fe(11)-O(23) bond lengths are 1.99 Å. In the twelfth Fe site, Fe(12) is bonded to one O(19), one O(6), and two equivalent O(1) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-59°. The Fe(12)-O(19) bond length is 1.92 Å. The Fe(12)-O(6) bond length is 1.91 Å. Both Fe(12)-O(1) bond lengths are 1.95 Å. In the thirteenth Fe site, Fe(13) is bonded to one O(24), one O(9), and two equivalent O(15) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-63°. The Fe(13)-O(24) bond length is 2.01 Å. The Fe(13)-O(9) bond length is 2.00 Å. Both Fe(13)-O(15) bond lengths are 2.07 Å. In the fourteenth Fe site, Fe(14) is bonded to one O(12), one O(6), two equivalent O(23), and two equivalent O(4) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(12)O4 tetrahedra,  a cornercorner with one Fe(16)O4 tetrahedra, corners with two equivalent Fe(11)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(19)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. The Fe(14)-O(12) bond length is 2.07 Å. The Fe(14)-O(6) bond length is 2.01 Å. Both Fe(14)-O(23) bond lengths are 2.01 Å. Both Fe(14)-O(4) bond lengths are 2.11 Å. In the fifteenth Fe site, Fe(15) is bonded to one O(14), one O(22), and two equivalent O(5) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-58°. The Fe(15)-O(14) bond length is 1.92 Å. The Fe(15)-O(22) bond length is 1.93 Å. Both Fe(15)-O(5) bond lengths are 1.97 Å. In the sixteenth Fe site, Fe(16) is bonded to one O(12), one O(17), and two equivalent O(16) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-63°. The Fe(16)-O(12) bond length is 2.03 Å. The Fe(16)-O(17) bond length is 2.04 Å. Both Fe(16)-O(16) bond lengths are 2.05 Å. In the seventeenth Fe site, Fe(17) is bonded to one O(2), one O(21), and two equivalent O(11) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-59°. The Fe(17)-O(2) bond length is 1.96 Å. The Fe(17)-O(21) bond length is 1.98 Å. Both Fe(17)-O(11) bond lengths are 1.88 Å. In the eighteenth Fe site, Fe(18) is bonded to one O(21), one O(22), two equivalent O(15), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(15)O4 tetrahedra,  a cornercorner with one Fe(17)O4 tetrahedra, corners with two equivalent Fe(13)O4 tetrahedra, corners with two equivalent Fe(20)O4 tetrahedra, 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 Fe(18)-O(21) bond length is 2.03 Å. The Fe(18)-O(22) bond length is 2.02 Å. Both Fe(18)-O(15) bond lengths are 1.98 Å. Both Fe(18)-O(7) bond lengths are 1.96 Å. In the nineteenth Fe site, Fe(19) is bonded to one O(17), one O(19), two equivalent O(23), and two equivalent O(4) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(12)O4 tetrahedra,  a cornercorner with one Fe(16)O4 tetrahedra, corners with two equivalent Fe(11)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(14)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. The Fe(19)-O(17) bond length is 2.08 Å. The Fe(19)-O(19) bond length is 2.02 Å. Both Fe(19)-O(23) bond lengths are 2.02 Å. Both Fe(19)-O(4) bond lengths are 2.12 Å. In the twentieth Fe site, Fe(20) is bonded to one O(13), one O(8), and two equivalent O(7) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-66°. The Fe(20)-O(13) bond length is 2.09 Å. The Fe(20)-O(8) bond length is 2.04 Å. Both Fe(20)-O(7) bond lengths are 2.02 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Fe(12), one Fe(2), one Fe(5), and one Fe(9) atom. In the second O site, O(2) is bonded to one Fe(17), one Fe(6), and two equivalent Fe(2) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the third O site, O(3) is bonded to one Fe(10), one Fe(11), and two equivalent Fe(1) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fourth O site, O(4) is bonded to one Fe(1), one Fe(14), one Fe(19), and one Fe(4) atom to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Fe(1), one Fe(10), one Fe(15), and one Fe(8) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Fe(12), one Fe(14), and two equivalent Fe(3) atoms. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Fe(18), one Fe(20), one Fe(6), and one Fe(7) atom. In the eighth O site, O(8) is bonded to one Fe(20), one Fe(5), and two equivalent Fe(2) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the ninth O site, O(9) is bonded to one Fe(13), one Fe(8), and two equivalent Fe(7) atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Fe(4), one Fe(5), and two equivalent Fe(3) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Fe(17), one Fe(3), one Fe(5), and one Fe(9) atom. In the twelfth O site, O(12) is bonded to one Fe(14), one Fe(16), and two equivalent Fe(1) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the thirteenth O site, O(13) is bonded to one Fe(20), one Fe(9), and two equivalent Fe(2) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Fe(15), one Fe(6), and two equivalent Fe(7) atoms. In the fifteenth O site, O(15) is bonded to one Fe(13), one Fe(18), one Fe(2), and one Fe(6) atom to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Fe(10), one Fe(16), one Fe(7), and one Fe(8) atom. In the seventeenth O site, O(17) is bonded to one Fe(16), one Fe(19), and two equivalent Fe(1) atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Fe(4), one Fe(9), and two equivalent Fe(3) atoms. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Fe(12), one Fe(19), and two equivalent Fe(3) atoms. In the twentieth O site, O(20) is bonded to one Fe(11), one Fe(8), and two equivalent Fe(1) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twenty-first O site, O(21) is bonded to one Fe(17), one Fe(18), and two equivalent Fe(2) atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twenty-second O site, O(22) is bonded in a distorted rectangular see-saw-like geometry to one Fe(15), one Fe(18), and two equivalent Fe(7) atoms. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Fe(11), one Fe(14), one Fe(19), and one Fe(3) atom. In the twenty-fourth O site, O(24) is bonded in a distorted rectangular see-saw-like geometry to one Fe(10), one Fe(13), and two equivalent Fe(7) atoms.