The material described by Fe9Zn2O13 crystallizes in the monoclinic C2/m space group. There are five inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent O(6) and four equivalent O(7) atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 9°. In the second Fe site, Fe(2) is bonded to one O(4), two equivalent O(1), and three equivalent O(3) atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra are not tilted. In the third Fe site, Fe(3) is bonded to one O(5), two equivalent O(6), and three equivalent O(7) atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 9°. In the fourth Fe site, Fe(4) is bonded in a 6-coordinate geometry to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms. In the fifth Fe site, Fe(5) is bonded in a 6-coordinate geometry to one O(2), one O(7), two equivalent O(5), and two equivalent O(6) atoms. Zn(1) is bonded in a 6-coordinate geometry to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms. There are seven inequivalent O sites. In the first O site, O(7) is bonded to one Fe(5), two equivalent Fe(1), and three equivalent Fe(3) atoms to form distorted OFe6 octahedra that share corners with two equivalent O(7)Fe6 octahedra, corners with two equivalent O(6)Fe5 square pyramids,  a cornercorner with one O(2)Zn2Fe2 tetrahedra,  a cornercorner with one O(5)Zn2Fe3 trigonal bipyramid, edges with five equivalent O(7)Fe6 octahedra, edges with five equivalent O(6)Fe5 square pyramids, and edges with two equivalent O(5)Zn2Fe3 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the second O site, O(1) is bonded to two equivalent Fe(4) and four equivalent Fe(2) atoms to form OFe6 octahedra that share corners with four equivalent O(3)Fe5 square pyramids, corners with two equivalent O(2)Zn2Fe2 tetrahedra, edges with two equivalent O(1)Fe6 octahedra, edges with six equivalent O(3)Fe5 square pyramids, and edges with four equivalent O(4)Zn2Fe3 trigonal bipyramids. In the third O site, O(2) is bonded to one Fe(4), one Fe(5), and two equivalent Zn(1) atoms to form OZn2Fe2 tetrahedra that share  a cornercorner with one O(1)Fe6 octahedra,  a cornercorner with one O(7)Fe6 octahedra, corners with two equivalent O(3)Fe5 square pyramids, corners with two equivalent O(6)Fe5 square pyramids, corners with two equivalent O(2)Zn2Fe2 tetrahedra, corners with four equivalent O(4)Zn2Fe3 trigonal bipyramids, corners with four equivalent O(5)Zn2Fe3 trigonal bipyramids,  an edgeedge with one O(4)Zn2Fe3 trigonal bipyramid, and  an edgeedge with one O(5)Zn2Fe3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 7-9°. In the fourth O site, O(3) is bonded to two equivalent Fe(4) and three equivalent Fe(2) atoms to form OFe5 square pyramids that share corners with two equivalent O(1)Fe6 octahedra, corners with two equivalent O(2)Zn2Fe2 tetrahedra, corners with five equivalent O(4)Zn2Fe3 trigonal bipyramids, edges with three equivalent O(1)Fe6 octahedra, edges with four equivalent O(3)Fe5 square pyramids, and  an edgeedge with one O(4)Zn2Fe3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 10°. In the fifth O site, O(4) is bonded to one Fe(2), two equivalent Fe(4), and two equivalent Zn(1) atoms to form distorted OZn2Fe3 trigonal bipyramids that share corners with five equivalent O(3)Fe5 square pyramids, corners with four equivalent O(2)Zn2Fe2 tetrahedra, corners with two equivalent O(5)Zn2Fe3 trigonal bipyramids, edges with two equivalent O(1)Fe6 octahedra,  an edgeedge with one O(3)Fe5 square pyramid,  an edgeedge with one O(2)Zn2Fe2 tetrahedra,  an edgeedge with one O(5)Zn2Fe3 trigonal bipyramid, and edges with two equivalent O(4)Zn2Fe3 trigonal bipyramids. In the sixth O site, O(5) is bonded to one Fe(3), two equivalent Fe(5), and two equivalent Zn(1) atoms to form distorted OZn2Fe3 trigonal bipyramids that share  a cornercorner with one O(7)Fe6 octahedra, corners with four equivalent O(6)Fe5 square pyramids, corners with four equivalent O(2)Zn2Fe2 tetrahedra, corners with two equivalent O(4)Zn2Fe3 trigonal bipyramids, edges with two equivalent O(7)Fe6 octahedra,  an edgeedge with one O(6)Fe5 square pyramid,  an edgeedge with one O(2)Zn2Fe2 tetrahedra,  an edgeedge with one O(4)Zn2Fe3 trigonal bipyramid, and edges with two equivalent O(5)Zn2Fe3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 7°. In the seventh O site, O(6) is bonded to one Fe(1), two equivalent Fe(3), and two equivalent Fe(5) atoms to form OFe5 square pyramids that share corners with two equivalent O(7)Fe6 octahedra,  a cornercorner with one O(6)Fe5 square pyramid, corners with two equivalent O(2)Zn2Fe2 tetrahedra, corners with four equivalent O(5)Zn2Fe3 trigonal bipyramids, edges with five equivalent O(7)Fe6 octahedra, edges with two equivalent O(6)Fe5 square pyramids, and  an edgeedge with one O(5)Zn2Fe3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 13°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Zn2Fe9O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.271
_cell_length_b   5.271
_cell_length_c   17.241
_cell_angle_alpha   82.001
_cell_angle_beta   82.001
_cell_angle_gamma   32.902
_symmetry_Int_Tables_number   1
_cell_volume   257.420
_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
  Zn  Zn0  1  0.789  0.789  0.230  1.0
  Zn  Zn1  1  0.211  0.211  0.770  1.0
  Fe  Fe2  1  0.500  0.500  0.500  1.0
  Fe  Fe3  1  0.351  0.351  0.044  1.0
  Fe  Fe4  1  0.649  0.649  0.956  1.0
  Fe  Fe5  1  0.252  0.252  0.416  1.0
  Fe  Fe6  1  0.748  0.748  0.584  1.0
  Fe  Fe7  1  0.067  0.067  0.131  1.0
  Fe  Fe8  1  0.933  0.933  0.869  1.0
  Fe  Fe9  1  0.015  0.015  0.325  1.0
  Fe  Fe10  1  0.985  0.985  0.675  1.0
  O  O11  1  0.000  0.000  0.000  1.0
  O  O12  1  0.150  0.150  0.229  1.0
  O  O13  1  0.850  0.850  0.771  1.0
  O  O14  1  0.712  0.712  0.066  1.0
  O  O15  1  0.288  0.288  0.934  1.0
  O  O16  1  0.413  0.413  0.145  1.0
  O  O17  1  0.587  0.587  0.855  1.0
  O  O18  1  0.367  0.367  0.315  1.0
  O  O19  1  0.633  0.633  0.685  1.0
  O  O20  1  0.622  0.622  0.394  1.0
  O  O21  1  0.378  0.378  0.606  1.0
  O  O22  1  0.858  0.858  0.463  1.0
  O  O23  1  0.142  0.142  0.537  1.0
[/CIF]
.
The material described by Fe9Zn2O13 crystallizes in the monoclinic C2/m space group. There are five inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent O(6) and four equivalent O(7) atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 9°. In the second Fe site, Fe(2) is bonded to one O(4), two equivalent O(1), and three equivalent O(3) atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra are not tilted. In the third Fe site, Fe(3) is bonded to one O(5), two equivalent O(6), and three equivalent O(7) atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 9°. In the fourth Fe site, Fe(4) is bonded in a 6-coordinate geometry to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms. In the fifth Fe site, Fe(5) is bonded in a 6-coordinate geometry to one O(2), one O(7), two equivalent O(5), and two equivalent O(6) atoms. Zn(1) is bonded in a 6-coordinate geometry to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms. There are seven inequivalent O sites. In the first O site, O(7) is bonded to one Fe(5), two equivalent Fe(1), and three equivalent Fe(3) atoms to form distorted OFe6 octahedra that share corners with two equivalent O(7)Fe6 octahedra, corners with two equivalent O(6)Fe5 square pyramids,  a cornercorner with one O(2)Zn2Fe2 tetrahedra,  a cornercorner with one O(5)Zn2Fe3 trigonal bipyramid, edges with five equivalent O(7)Fe6 octahedra, edges with five equivalent O(6)Fe5 square pyramids, and edges with two equivalent O(5)Zn2Fe3 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the second O site, O(1) is bonded to two equivalent Fe(4) and four equivalent Fe(2) atoms to form OFe6 octahedra that share corners with four equivalent O(3)Fe5 square pyramids, corners with two equivalent O(2)Zn2Fe2 tetrahedra, edges with two equivalent O(1)Fe6 octahedra, edges with six equivalent O(3)Fe5 square pyramids, and edges with four equivalent O(4)Zn2Fe3 trigonal bipyramids. In the third O site, O(2) is bonded to one Fe(4), one Fe(5), and two equivalent Zn(1) atoms to form OZn2Fe2 tetrahedra that share  a cornercorner with one O(1)Fe6 octahedra,  a cornercorner with one O(7)Fe6 octahedra, corners with two equivalent O(3)Fe5 square pyramids, corners with two equivalent O(6)Fe5 square pyramids, corners with two equivalent O(2)Zn2Fe2 tetrahedra, corners with four equivalent O(4)Zn2Fe3 trigonal bipyramids, corners with four equivalent O(5)Zn2Fe3 trigonal bipyramids,  an edgeedge with one O(4)Zn2Fe3 trigonal bipyramid, and  an edgeedge with one O(5)Zn2Fe3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 7-9°. In the fourth O site, O(3) is bonded to two equivalent Fe(4) and three equivalent Fe(2) atoms to form OFe5 square pyramids that share corners with two equivalent O(1)Fe6 octahedra, corners with two equivalent O(2)Zn2Fe2 tetrahedra, corners with five equivalent O(4)Zn2Fe3 trigonal bipyramids, edges with three equivalent O(1)Fe6 octahedra, edges with four equivalent O(3)Fe5 square pyramids, and  an edgeedge with one O(4)Zn2Fe3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 10°. In the fifth O site, O(4) is bonded to one Fe(2), two equivalent Fe(4), and two equivalent Zn(1) atoms to form distorted OZn2Fe3 trigonal bipyramids that share corners with five equivalent O(3)Fe5 square pyramids, corners with four equivalent O(2)Zn2Fe2 tetrahedra, corners with two equivalent O(5)Zn2Fe3 trigonal bipyramids, edges with two equivalent O(1)Fe6 octahedra,  an edgeedge with one O(3)Fe5 square pyramid,  an edgeedge with one O(2)Zn2Fe2 tetrahedra,  an edgeedge with one O(5)Zn2Fe3 trigonal bipyramid, and edges with two equivalent O(4)Zn2Fe3 trigonal bipyramids. In the sixth O site, O(5) is bonded to one Fe(3), two equivalent Fe(5), and two equivalent Zn(1) atoms to form distorted OZn2Fe3 trigonal bipyramids that share  a cornercorner with one O(7)Fe6 octahedra, corners with four equivalent O(6)Fe5 square pyramids, corners with four equivalent O(2)Zn2Fe2 tetrahedra, corners with two equivalent O(4)Zn2Fe3 trigonal bipyramids, edges with two equivalent O(7)Fe6 octahedra,  an edgeedge with one O(6)Fe5 square pyramid,  an edgeedge with one O(2)Zn2Fe2 tetrahedra,  an edgeedge with one O(4)Zn2Fe3 trigonal bipyramid, and edges with two equivalent O(5)Zn2Fe3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 7°. In the seventh O site, O(6) is bonded to one Fe(1), two equivalent Fe(3), and two equivalent Fe(5) atoms to form OFe5 square pyramids that share corners with two equivalent O(7)Fe6 octahedra,  a cornercorner with one O(6)Fe5 square pyramid, corners with two equivalent O(2)Zn2Fe2 tetrahedra, corners with four equivalent O(5)Zn2Fe3 trigonal bipyramids, edges with five equivalent O(7)Fe6 octahedra, edges with two equivalent O(6)Fe5 square pyramids, and  an edgeedge with one O(5)Zn2Fe3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 13°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Zn2Fe9O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.271
_cell_length_b   5.271
_cell_length_c   17.241
_cell_angle_alpha   82.001
_cell_angle_beta   82.001
_cell_angle_gamma   32.902
_symmetry_Int_Tables_number   1
_cell_volume   257.420
_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
  Zn  Zn0  1  0.789  0.789  0.230  1.0
  Zn  Zn1  1  0.211  0.211  0.770  1.0
  Fe  Fe2  1  0.500  0.500  0.500  1.0
  Fe  Fe3  1  0.351  0.351  0.044  1.0
  Fe  Fe4  1  0.649  0.649  0.956  1.0
  Fe  Fe5  1  0.252  0.252  0.416  1.0
  Fe  Fe6  1  0.748  0.748  0.584  1.0
  Fe  Fe7  1  0.067  0.067  0.131  1.0
  Fe  Fe8  1  0.933  0.933  0.869  1.0
  Fe  Fe9  1  0.015  0.015  0.325  1.0
  Fe  Fe10  1  0.985  0.985  0.675  1.0
  O  O11  1  0.000  0.000  0.000  1.0
  O  O12  1  0.150  0.150  0.229  1.0
  O  O13  1  0.850  0.850  0.771  1.0
  O  O14  1  0.712  0.712  0.066  1.0
  O  O15  1  0.288  0.288  0.934  1.0
  O  O16  1  0.413  0.413  0.145  1.0
  O  O17  1  0.587  0.587  0.855  1.0
  O  O18  1  0.367  0.367  0.315  1.0
  O  O19  1  0.633  0.633  0.685  1.0
  O  O20  1  0.622  0.622  0.394  1.0
  O  O21  1  0.378  0.378  0.606  1.0
  O  O22  1  0.858  0.858  0.463  1.0
  O  O23  1  0.142  0.142  0.537  1.0
[/CIF]
.