The compound described by MgFe4(CoO4)2 crystallizes in the monoclinic C2/m space group. Mg(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form MgO6 octahedra that share corners with six equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-13°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a 6-coordinate geometry to one O(1), one O(3), and four equivalent O(2) atoms. In the second Fe site, Fe(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form FeO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form CoO6 octahedra that share corners with six equivalent Mg(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-13°. In the second Co site, Co(2) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form CoO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Fe(1), two equivalent Fe(2), and one Co(1) atom to form OMgFe3Co trigonal bipyramids that share corners with four equivalent O(1)MgFe3Co trigonal bipyramids, corners with three equivalent O(3)Fe3Co trigonal pyramids, and  an edgeedge with one O(3)Fe3Co trigonal pyramid. In the second O site, O(2) is bonded in a 6-coordinate geometry to one Mg(1), one Fe(2), two equivalent Fe(1), one Co(1), and one Co(2) atom. In the third O site, O(3) is bonded to one Fe(1), two equivalent Fe(2), and one Co(2) atom to form OFe3Co trigonal pyramids that share corners with three equivalent O(1)MgFe3Co trigonal bipyramids, corners with three equivalent O(3)Fe3Co trigonal pyramids, and  an edgeedge with one O(1)MgFe3Co trigonal bipyramid. is represented by the CIF card [CIF]
data_MgFe4(CoO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.850
_cell_length_b   6.638
_cell_length_c   5.850
_cell_angle_alpha   57.116
_cell_angle_beta   59.921
_cell_angle_gamma   57.116
_symmetry_Int_Tables_number   1
_cell_volume   153.180
_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
  Mg  Mg0  1  0.125  0.625  0.125  1.0
  Fe  Fe1  1  0.912  0.121  0.912  1.0
  Fe  Fe2  1  0.338  0.129  0.338  1.0
  Fe  Fe3  1  0.125  0.625  0.625  1.0
  Fe  Fe4  1  0.625  0.625  0.125  1.0
  Co  Co5  1  0.625  0.125  0.625  1.0
  Co  Co6  1  0.625  0.625  0.625  1.0
  O  O7  1  0.378  0.407  0.378  1.0
  O  O8  1  0.398  0.390  0.876  1.0
  O  O9  1  0.361  0.818  0.361  1.0
  O  O10  1  0.876  0.390  0.398  1.0
  O  O11  1  0.374  0.860  0.852  1.0
  O  O12  1  0.889  0.432  0.889  1.0
  O  O13  1  0.852  0.860  0.374  1.0
  O  O14  1  0.872  0.843  0.872  1.0
[/CIF]
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The compound described by MgFe4(CoO4)2 crystallizes in the monoclinic C2/m space group. Mg(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form MgO6 octahedra that share corners with six equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-13°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a 6-coordinate geometry to one O(1), one O(3), and four equivalent O(2) atoms. In the second Fe site, Fe(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form FeO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form CoO6 octahedra that share corners with six equivalent Mg(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-13°. In the second Co site, Co(2) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form CoO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Fe(1), two equivalent Fe(2), and one Co(1) atom to form OMgFe3Co trigonal bipyramids that share corners with four equivalent O(1)MgFe3Co trigonal bipyramids, corners with three equivalent O(3)Fe3Co trigonal pyramids, and  an edgeedge with one O(3)Fe3Co trigonal pyramid. In the second O site, O(2) is bonded in a 6-coordinate geometry to one Mg(1), one Fe(2), two equivalent Fe(1), one Co(1), and one Co(2) atom. In the third O site, O(3) is bonded to one Fe(1), two equivalent Fe(2), and one Co(2) atom to form OFe3Co trigonal pyramids that share corners with three equivalent O(1)MgFe3Co trigonal bipyramids, corners with three equivalent O(3)Fe3Co trigonal pyramids, and  an edgeedge with one O(1)MgFe3Co trigonal bipyramid. is represented by the CIF card [CIF]
data_MgFe4(CoO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.850
_cell_length_b   6.638
_cell_length_c   5.850
_cell_angle_alpha   57.116
_cell_angle_beta   59.921
_cell_angle_gamma   57.116
_symmetry_Int_Tables_number   1
_cell_volume   153.180
_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
  Mg  Mg0  1  0.125  0.625  0.125  1.0
  Fe  Fe1  1  0.912  0.121  0.912  1.0
  Fe  Fe2  1  0.338  0.129  0.338  1.0
  Fe  Fe3  1  0.125  0.625  0.625  1.0
  Fe  Fe4  1  0.625  0.625  0.125  1.0
  Co  Co5  1  0.625  0.125  0.625  1.0
  Co  Co6  1  0.625  0.625  0.625  1.0
  O  O7  1  0.378  0.407  0.378  1.0
  O  O8  1  0.398  0.390  0.876  1.0
  O  O9  1  0.361  0.818  0.361  1.0
  O  O10  1  0.876  0.390  0.398  1.0
  O  O11  1  0.374  0.860  0.852  1.0
  O  O12  1  0.889  0.432  0.889  1.0
  O  O13  1  0.852  0.860  0.374  1.0
  O  O14  1  0.872  0.843  0.872  1.0
[/CIF]
.