The compound described by 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. is represented by the CIF file [CIF]
data_Fe3O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.042
_cell_length_b   6.042
_cell_length_c   6.053
_cell_angle_alpha   90.843
_cell_angle_beta   119.510
_cell_angle_gamma   119.453
_symmetry_Int_Tables_number   1
_cell_volume   157.521
_cell_formula_units_Z   2
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Fe  Fe0  1  0.251  0.741  0.492  1.0
  Fe  Fe1  1  0.750  0.241  0.492  1.0
  Fe  Fe2  1  0.998  0.113  0.112  1.0
  Fe  Fe3  1  0.750  0.742  0.492  1.0
  Fe  Fe4  1  0.251  0.741  0.992  1.0
  Fe  Fe5  1  0.503  0.364  0.867  1.0
  O  O6  1  0.777  0.509  0.741  1.0
  O  O7  1  0.731  0.983  0.715  1.0
  O  O8  1  0.235  0.502  0.737  1.0
  O  O9  1  0.725  0.977  0.241  1.0
  O  O10  1  0.233  0.964  0.741  1.0
  O  O11  1  0.767  0.501  0.268  1.0
  O  O12  1  0.264  0.516  0.241  1.0
  O  O13  1  0.267  0.981  0.248  1.0
[/CIF]
.
The compound described by 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. is represented by the CIF file [CIF]
data_Fe3O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.042
_cell_length_b   6.042
_cell_length_c   6.053
_cell_angle_alpha   90.843
_cell_angle_beta   119.510
_cell_angle_gamma   119.453
_symmetry_Int_Tables_number   1
_cell_volume   157.521
_cell_formula_units_Z   2
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Fe  Fe0  1  0.251  0.741  0.492  1.0
  Fe  Fe1  1  0.750  0.241  0.492  1.0
  Fe  Fe2  1  0.998  0.113  0.112  1.0
  Fe  Fe3  1  0.750  0.742  0.492  1.0
  Fe  Fe4  1  0.251  0.741  0.992  1.0
  Fe  Fe5  1  0.503  0.364  0.867  1.0
  O  O6  1  0.777  0.509  0.741  1.0
  O  O7  1  0.731  0.983  0.715  1.0
  O  O8  1  0.235  0.502  0.737  1.0
  O  O9  1  0.725  0.977  0.241  1.0
  O  O10  1  0.233  0.964  0.741  1.0
  O  O11  1  0.767  0.501  0.268  1.0
  O  O12  1  0.264  0.516  0.241  1.0
  O  O13  1  0.267  0.981  0.248  1.0
[/CIF]
.