The compound described by Fe12Zn3(CoO12)2 is beta indium sulfide-derived structured and crystallizes in the orthorhombic Imm2 space group. There are five inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(6), two equivalent O(3), and two equivalent O(8) atoms to form FeO6 octahedra that share  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(4)O6 octahedra. In the second Fe site, Fe(2) is bonded to one O(10), one O(2), one O(4), one O(5), one O(7), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(5)O6 octahedra. In the third Fe site, Fe(3) is bonded to one O(4), one O(8), two equivalent O(2), and two equivalent O(6) atoms to form FeO6 octahedra that share  a cornercorner with one Co(1)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. In the fourth Fe site, Fe(4) is bonded to one O(10), one O(3), two equivalent O(1), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Zn(1)O4 tetrahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. In the fifth Fe site, Fe(5) is bonded to one O(5), one O(9), two equivalent O(2), and two equivalent O(7) atoms to form FeO6 octahedra that share corners with three equivalent Co(1)O4 tetrahedra, corners with three equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. Co(1) is bonded to one O(8), one O(9), and two equivalent O(7) atoms to form CoO4 tetrahedra that share  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent O(1) and two equivalent O(4) atoms to form ZnO4 tetrahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra, and corners with four equivalent Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. In the second Zn site, Zn(2) is bonded to one O(3), one O(5), and two equivalent O(2) atoms to form ZnO4 tetrahedra that share  a cornercorner with one Fe(4)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Fe(1), two equivalent Fe(4), and one Zn(1) atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the second O site, O(2) is bonded to one Fe(2), one Fe(3), one Fe(5), and one Zn(2) atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Fe(4), two equivalent Fe(1), and one Zn(2) atom. In the fourth O site, O(4) is bonded to one Fe(3), two equivalent Fe(2), and one Zn(1) atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Fe(5), two equivalent Fe(2), and one Zn(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1) and two equivalent Fe(3) atoms. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Fe(2), one Fe(4), one Fe(5), and one Co(1) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Fe(3), two equivalent Fe(1), and one Co(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Fe(5), two equivalent Fe(2), and one Co(1) atom. In the tenth O site, O(10) is bonded in a trigonal non-coplanar geometry to one Fe(4) and two equivalent Fe(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Zn3Fe12(CoO12)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.473
_cell_length_b   10.473
_cell_length_c   10.473
_cell_angle_alpha   146.463
_cell_angle_beta   131.502
_cell_angle_gamma   60.252
_symmetry_Int_Tables_number   1
_cell_volume   470.871
_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  0.997  0.000  0.997  1.0
  Zn  Zn1  1  0.667  0.665  0.002  1.0
  Zn  Zn2  1  0.337  0.335  0.002  1.0
  Fe  Fe3  1  0.377  0.744  0.122  1.0
  Fe  Fe4  1  0.039  0.415  0.122  1.0
  Fe  Fe5  1  0.707  0.084  0.122  1.0
  Fe  Fe6  1  0.547  0.920  0.627  1.0
  Fe  Fe7  1  0.205  0.582  0.623  1.0
  Fe  Fe8  1  0.876  0.248  0.628  1.0
  Fe  Fe9  1  0.707  0.080  0.627  1.0
  Fe  Fe10  1  0.380  0.752  0.628  1.0
  Fe  Fe11  1  0.041  0.418  0.623  1.0
  Fe  Fe12  1  0.377  0.256  0.633  1.0
  Fe  Fe13  1  0.039  0.916  0.623  1.0
  Fe  Fe14  1  0.707  0.585  0.623  1.0
  Co  Co15  1  0.416  0.166  0.250  1.0
  Co  Co16  1  0.083  0.834  0.250  1.0
  O  O17  1  0.136  0.270  0.406  1.0
  O  O18  1  0.803  0.938  0.407  1.0
  O  O19  1  0.469  0.604  0.407  1.0
  O  O20  1  0.284  0.423  0.861  1.0
  O  O21  1  0.956  0.091  0.865  1.0
  O  O22  1  0.621  0.756  0.864  1.0
  O  O23  1  0.438  0.577  0.861  1.0
  O  O24  1  0.108  0.244  0.864  1.0
  O  O25  1  0.774  0.909  0.865  1.0
  O  O26  1  0.136  0.730  0.866  1.0
  O  O27  1  0.803  0.396  0.865  1.0
  O  O28  1  0.469  0.062  0.865  1.0
  O  O29  1  0.601  0.219  0.820  1.0
  O  O30  1  0.289  0.909  0.861  1.0
  O  O31  1  0.951  0.572  0.861  1.0
  O  O32  1  0.457  0.081  0.376  1.0
  O  O33  1  0.134  0.749  0.385  1.0
  O  O34  1  0.799  0.401  0.398  1.0
  O  O35  1  0.294  0.919  0.376  1.0
  O  O36  1  0.997  0.599  0.398  1.0
  O  O37  1  0.636  0.251  0.385  1.0
  O  O38  1  0.601  0.781  0.383  1.0
  O  O39  1  0.289  0.428  0.380  1.0
  O  O40  1  0.951  0.091  0.380  1.0
[/CIF]
.
The compound described by Fe12Zn3(CoO12)2 is beta indium sulfide-derived structured and crystallizes in the orthorhombic Imm2 space group. There are five inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(6), two equivalent O(3), and two equivalent O(8) atoms to form FeO6 octahedra that share  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(4)O6 octahedra. In the second Fe site, Fe(2) is bonded to one O(10), one O(2), one O(4), one O(5), one O(7), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(5)O6 octahedra. In the third Fe site, Fe(3) is bonded to one O(4), one O(8), two equivalent O(2), and two equivalent O(6) atoms to form FeO6 octahedra that share  a cornercorner with one Co(1)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. In the fourth Fe site, Fe(4) is bonded to one O(10), one O(3), two equivalent O(1), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Zn(1)O4 tetrahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. In the fifth Fe site, Fe(5) is bonded to one O(5), one O(9), two equivalent O(2), and two equivalent O(7) atoms to form FeO6 octahedra that share corners with three equivalent Co(1)O4 tetrahedra, corners with three equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. Co(1) is bonded to one O(8), one O(9), and two equivalent O(7) atoms to form CoO4 tetrahedra that share  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent O(1) and two equivalent O(4) atoms to form ZnO4 tetrahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra, and corners with four equivalent Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. In the second Zn site, Zn(2) is bonded to one O(3), one O(5), and two equivalent O(2) atoms to form ZnO4 tetrahedra that share  a cornercorner with one Fe(4)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Fe(1), two equivalent Fe(4), and one Zn(1) atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the second O site, O(2) is bonded to one Fe(2), one Fe(3), one Fe(5), and one Zn(2) atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Fe(4), two equivalent Fe(1), and one Zn(2) atom. In the fourth O site, O(4) is bonded to one Fe(3), two equivalent Fe(2), and one Zn(1) atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Fe(5), two equivalent Fe(2), and one Zn(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1) and two equivalent Fe(3) atoms. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Fe(2), one Fe(4), one Fe(5), and one Co(1) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Fe(3), two equivalent Fe(1), and one Co(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Fe(5), two equivalent Fe(2), and one Co(1) atom. In the tenth O site, O(10) is bonded in a trigonal non-coplanar geometry to one Fe(4) and two equivalent Fe(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Zn3Fe12(CoO12)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.473
_cell_length_b   10.473
_cell_length_c   10.473
_cell_angle_alpha   146.463
_cell_angle_beta   131.502
_cell_angle_gamma   60.252
_symmetry_Int_Tables_number   1
_cell_volume   470.871
_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  0.997  0.000  0.997  1.0
  Zn  Zn1  1  0.667  0.665  0.002  1.0
  Zn  Zn2  1  0.337  0.335  0.002  1.0
  Fe  Fe3  1  0.377  0.744  0.122  1.0
  Fe  Fe4  1  0.039  0.415  0.122  1.0
  Fe  Fe5  1  0.707  0.084  0.122  1.0
  Fe  Fe6  1  0.547  0.920  0.627  1.0
  Fe  Fe7  1  0.205  0.582  0.623  1.0
  Fe  Fe8  1  0.876  0.248  0.628  1.0
  Fe  Fe9  1  0.707  0.080  0.627  1.0
  Fe  Fe10  1  0.380  0.752  0.628  1.0
  Fe  Fe11  1  0.041  0.418  0.623  1.0
  Fe  Fe12  1  0.377  0.256  0.633  1.0
  Fe  Fe13  1  0.039  0.916  0.623  1.0
  Fe  Fe14  1  0.707  0.585  0.623  1.0
  Co  Co15  1  0.416  0.166  0.250  1.0
  Co  Co16  1  0.083  0.834  0.250  1.0
  O  O17  1  0.136  0.270  0.406  1.0
  O  O18  1  0.803  0.938  0.407  1.0
  O  O19  1  0.469  0.604  0.407  1.0
  O  O20  1  0.284  0.423  0.861  1.0
  O  O21  1  0.956  0.091  0.865  1.0
  O  O22  1  0.621  0.756  0.864  1.0
  O  O23  1  0.438  0.577  0.861  1.0
  O  O24  1  0.108  0.244  0.864  1.0
  O  O25  1  0.774  0.909  0.865  1.0
  O  O26  1  0.136  0.730  0.866  1.0
  O  O27  1  0.803  0.396  0.865  1.0
  O  O28  1  0.469  0.062  0.865  1.0
  O  O29  1  0.601  0.219  0.820  1.0
  O  O30  1  0.289  0.909  0.861  1.0
  O  O31  1  0.951  0.572  0.861  1.0
  O  O32  1  0.457  0.081  0.376  1.0
  O  O33  1  0.134  0.749  0.385  1.0
  O  O34  1  0.799  0.401  0.398  1.0
  O  O35  1  0.294  0.919  0.376  1.0
  O  O36  1  0.997  0.599  0.398  1.0
  O  O37  1  0.636  0.251  0.385  1.0
  O  O38  1  0.601  0.781  0.383  1.0
  O  O39  1  0.289  0.428  0.380  1.0
  O  O40  1  0.951  0.091  0.380  1.0
[/CIF]
.