The structure described by Fe23O32 is beta indium sulfide-like structured and crystallizes in the trigonal R-3m space group. There are five inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(2), one O(5), and two equivalent O(1) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-65°. In the second Fe site, Fe(2) is bonded to one O(3), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(5)O4 tetrahedra, corners with five equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(4)O6 octahedra. In the third Fe site, Fe(3) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form FeO6 octahedra that share corners with two equivalent Fe(5)O4 tetrahedra, corners with four equivalent Fe(1)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with four equivalent Fe(4)O6 octahedra. In the fourth Fe site, Fe(4) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form FeO6 octahedra that share corners with two equivalent Fe(5)O4 tetrahedra, corners with four equivalent Fe(1)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(4)O6 octahedra. In the fifth Fe site, Fe(5) is bonded to one O(3) and three equivalent O(4) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-58°. There are five inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(2), one Fe(3), and one Fe(4) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Fe(1) and two equivalent Fe(2) atoms. In the third O site, O(3) is bonded in a distorted trigonal pyramidal geometry to one Fe(5) and three equivalent Fe(2) atoms. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Fe(3), one Fe(5), and two equivalent Fe(4) atoms. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(2), and two equivalent Fe(4) atoms. is represented by the CIF card [CIF]
data_Fe23O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.323
_cell_length_b   8.323
_cell_length_c   8.323
_cell_angle_alpha   89.669
_cell_angle_beta   89.669
_cell_angle_gamma   89.669
_symmetry_Int_Tables_number   1
_cell_volume   576.599
_cell_formula_units_Z   1
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  0.624  0.120  0.120  1.0
  Fe  Fe1  1  0.753  0.998  0.753  1.0
  Fe  Fe2  1  0.500  0.000  0.500  1.0
  Fe  Fe3  1  0.247  0.002  0.247  1.0
  Fe  Fe4  1  0.880  0.880  0.376  1.0
  Fe  Fe5  1  0.376  0.880  0.880  1.0
  Fe  Fe6  1  0.998  0.753  0.753  1.0
  Fe  Fe7  1  0.247  0.753  0.500  1.0
  Fe  Fe8  1  0.753  0.753  0.998  1.0
  Fe  Fe9  1  0.500  0.753  0.247  1.0
  Fe  Fe10  1  0.629  0.629  0.629  1.0
  Fe  Fe11  1  0.120  0.624  0.120  1.0
  Fe  Fe12  1  0.000  0.500  0.500  1.0
  Fe  Fe13  1  0.247  0.500  0.753  1.0
  Fe  Fe14  1  0.753  0.500  0.247  1.0
  Fe  Fe15  1  0.500  0.500  0.000  1.0
  Fe  Fe16  1  0.880  0.376  0.880  1.0
  Fe  Fe17  1  0.371  0.371  0.371  1.0
  Fe  Fe18  1  0.753  0.247  0.500  1.0
  Fe  Fe19  1  0.500  0.247  0.753  1.0
  Fe  Fe20  1  0.002  0.247  0.247  1.0
  Fe  Fe21  1  0.247  0.247  0.002  1.0
  Fe  Fe22  1  0.120  0.120  0.624  1.0
  O  O23  1  0.733  0.999  0.515  1.0
  O  O24  1  0.020  0.020  0.263  1.0
  O  O25  1  0.263  0.020  0.020  1.0
  O  O26  1  0.267  0.001  0.485  1.0
  O  O27  1  0.515  0.999  0.733  1.0
  O  O28  1  0.980  0.980  0.737  1.0
  O  O29  1  0.737  0.980  0.980  1.0
  O  O30  1  0.485  0.001  0.267  1.0
  O  O31  1  0.763  0.763  0.763  1.0
  O  O32  1  0.497  0.767  0.497  1.0
  O  O33  1  0.249  0.771  0.249  1.0
  O  O34  1  0.751  0.751  0.229  1.0
  O  O35  1  0.980  0.737  0.980  1.0
  O  O36  1  0.999  0.733  0.515  1.0
  O  O37  1  0.229  0.751  0.751  1.0
  O  O38  1  0.515  0.733  0.999  1.0
  O  O39  1  0.999  0.515  0.733  1.0
  O  O40  1  0.733  0.515  0.999  1.0
  O  O41  1  0.503  0.503  0.233  1.0
  O  O42  1  0.497  0.497  0.767  1.0
  O  O43  1  0.233  0.503  0.503  1.0
  O  O44  1  0.767  0.497  0.497  1.0
  O  O45  1  0.001  0.485  0.267  1.0
  O  O46  1  0.267  0.485  0.001  1.0
  O  O47  1  0.001  0.267  0.485  1.0
  O  O48  1  0.249  0.249  0.771  1.0
  O  O49  1  0.485  0.267  0.001  1.0
  O  O50  1  0.020  0.263  0.020  1.0
  O  O51  1  0.771  0.249  0.249  1.0
  O  O52  1  0.751  0.229  0.751  1.0
  O  O53  1  0.503  0.233  0.503  1.0
  O  O54  1  0.237  0.237  0.237  1.0
[/CIF]
.
The structure described by Fe23O32 is beta indium sulfide-like structured and crystallizes in the trigonal R-3m space group. There are five inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(2), one O(5), and two equivalent O(1) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-65°. In the second Fe site, Fe(2) is bonded to one O(3), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form FeO6 octahedra that share  a cornercorner with one Fe(5)O4 tetrahedra, corners with five equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(4)O6 octahedra. In the third Fe site, Fe(3) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form FeO6 octahedra that share corners with two equivalent Fe(5)O4 tetrahedra, corners with four equivalent Fe(1)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with four equivalent Fe(4)O6 octahedra. In the fourth Fe site, Fe(4) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form FeO6 octahedra that share corners with two equivalent Fe(5)O4 tetrahedra, corners with four equivalent Fe(1)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(4)O6 octahedra. In the fifth Fe site, Fe(5) is bonded to one O(3) and three equivalent O(4) atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-58°. There are five inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(2), one Fe(3), and one Fe(4) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Fe(1) and two equivalent Fe(2) atoms. In the third O site, O(3) is bonded in a distorted trigonal pyramidal geometry to one Fe(5) and three equivalent Fe(2) atoms. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Fe(3), one Fe(5), and two equivalent Fe(4) atoms. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(2), and two equivalent Fe(4) atoms. is represented by the CIF card [CIF]
data_Fe23O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.323
_cell_length_b   8.323
_cell_length_c   8.323
_cell_angle_alpha   89.669
_cell_angle_beta   89.669
_cell_angle_gamma   89.669
_symmetry_Int_Tables_number   1
_cell_volume   576.599
_cell_formula_units_Z   1
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  0.624  0.120  0.120  1.0
  Fe  Fe1  1  0.753  0.998  0.753  1.0
  Fe  Fe2  1  0.500  0.000  0.500  1.0
  Fe  Fe3  1  0.247  0.002  0.247  1.0
  Fe  Fe4  1  0.880  0.880  0.376  1.0
  Fe  Fe5  1  0.376  0.880  0.880  1.0
  Fe  Fe6  1  0.998  0.753  0.753  1.0
  Fe  Fe7  1  0.247  0.753  0.500  1.0
  Fe  Fe8  1  0.753  0.753  0.998  1.0
  Fe  Fe9  1  0.500  0.753  0.247  1.0
  Fe  Fe10  1  0.629  0.629  0.629  1.0
  Fe  Fe11  1  0.120  0.624  0.120  1.0
  Fe  Fe12  1  0.000  0.500  0.500  1.0
  Fe  Fe13  1  0.247  0.500  0.753  1.0
  Fe  Fe14  1  0.753  0.500  0.247  1.0
  Fe  Fe15  1  0.500  0.500  0.000  1.0
  Fe  Fe16  1  0.880  0.376  0.880  1.0
  Fe  Fe17  1  0.371  0.371  0.371  1.0
  Fe  Fe18  1  0.753  0.247  0.500  1.0
  Fe  Fe19  1  0.500  0.247  0.753  1.0
  Fe  Fe20  1  0.002  0.247  0.247  1.0
  Fe  Fe21  1  0.247  0.247  0.002  1.0
  Fe  Fe22  1  0.120  0.120  0.624  1.0
  O  O23  1  0.733  0.999  0.515  1.0
  O  O24  1  0.020  0.020  0.263  1.0
  O  O25  1  0.263  0.020  0.020  1.0
  O  O26  1  0.267  0.001  0.485  1.0
  O  O27  1  0.515  0.999  0.733  1.0
  O  O28  1  0.980  0.980  0.737  1.0
  O  O29  1  0.737  0.980  0.980  1.0
  O  O30  1  0.485  0.001  0.267  1.0
  O  O31  1  0.763  0.763  0.763  1.0
  O  O32  1  0.497  0.767  0.497  1.0
  O  O33  1  0.249  0.771  0.249  1.0
  O  O34  1  0.751  0.751  0.229  1.0
  O  O35  1  0.980  0.737  0.980  1.0
  O  O36  1  0.999  0.733  0.515  1.0
  O  O37  1  0.229  0.751  0.751  1.0
  O  O38  1  0.515  0.733  0.999  1.0
  O  O39  1  0.999  0.515  0.733  1.0
  O  O40  1  0.733  0.515  0.999  1.0
  O  O41  1  0.503  0.503  0.233  1.0
  O  O42  1  0.497  0.497  0.767  1.0
  O  O43  1  0.233  0.503  0.503  1.0
  O  O44  1  0.767  0.497  0.497  1.0
  O  O45  1  0.001  0.485  0.267  1.0
  O  O46  1  0.267  0.485  0.001  1.0
  O  O47  1  0.001  0.267  0.485  1.0
  O  O48  1  0.249  0.249  0.771  1.0
  O  O49  1  0.485  0.267  0.001  1.0
  O  O50  1  0.020  0.263  0.020  1.0
  O  O51  1  0.771  0.249  0.249  1.0
  O  O52  1  0.751  0.229  0.751  1.0
  O  O53  1  0.503  0.233  0.503  1.0
  O  O54  1  0.237  0.237  0.237  1.0
[/CIF]
.