The compound described by MgFe4(CoO4)2 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(5), one O(6), and two equivalent O(2) atoms to form distorted MgO4 tetrahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, corners with four equivalent Fe(1)O6 octahedra, and  an edgeedge with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-70°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form distorted FeO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Mg(1)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra,  a faceface with one Co(1)O6 octahedra, and  a faceface with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Fe site, Fe(2) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(4) atoms to form FeO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Mg(1)O4 tetrahedra,  a faceface with one Co(1)O6 octahedra, and  a faceface with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. In the third Fe site, Fe(3) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(4), one O(5), and one O(6) atom. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form distorted CoO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Mg(1)O4 tetrahedra, edges with two equivalent Co(2)O6 octahedra,  a faceface with one Fe(1)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-53°. In the second Co site, Co(2) is bonded to one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form distorted CoO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Mg(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra,  a faceface with one Fe(1)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Fe(2), two equivalent Fe(3), and one Co(1) atom to form distorted OFe3Co tetrahedra that share  a cornercorner with one O(3)Fe3Co tetrahedra, corners with two equivalent O(5)MgFe3Co trigonal bipyramids, corners with three equivalent O(6)MgFe3Co trigonal bipyramids, corners with four equivalent O(2)MgFe2Co2 trigonal bipyramids, and  an edgeedge with one O(3)Fe3Co tetrahedra. In the second O site, O(2) is bonded to one Mg(1), one Fe(1), one Fe(2), one Co(1), and one Co(2) atom to form distorted OMgFe2Co2 trigonal bipyramids that share corners with two equivalent O(1)Fe3Co tetrahedra, corners with two equivalent O(3)Fe3Co tetrahedra,  a cornercorner with one O(5)MgFe3Co trigonal bipyramid,  a cornercorner with one O(6)MgFe3Co trigonal bipyramid,  an edgeedge with one O(2)MgFe2Co2 trigonal bipyramid,  an edgeedge with one O(5)MgFe3Co trigonal bipyramid,  an edgeedge with one O(6)MgFe3Co trigonal bipyramid, and  a faceface with one O(2)MgFe2Co2 trigonal bipyramid. In the third O site, O(3) is bonded to one Fe(2), two equivalent Fe(3), and one Co(2) atom to form distorted OFe3Co tetrahedra that share  a cornercorner with one O(1)Fe3Co tetrahedra, corners with two equivalent O(6)MgFe3Co trigonal bipyramids, corners with three equivalent O(5)MgFe3Co trigonal bipyramids, corners with four equivalent O(2)MgFe2Co2 trigonal bipyramids, and  an edgeedge with one O(1)Fe3Co tetrahedra. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Fe(1), one Fe(2), one Fe(3), one Co(1), and one Co(2) atom. In the fifth O site, O(5) is bonded to one Mg(1), one Fe(1), two equivalent Fe(3), and one Co(2) atom to form OMgFe3Co trigonal bipyramids that share corners with two equivalent O(1)Fe3Co tetrahedra, corners with three equivalent O(3)Fe3Co tetrahedra,  a cornercorner with one O(6)MgFe3Co trigonal bipyramid, corners with two equivalent O(2)MgFe2Co2 trigonal bipyramids, edges with two equivalent O(2)MgFe2Co2 trigonal bipyramids, and  a faceface with one O(6)MgFe3Co trigonal bipyramid. In the sixth O site, O(6) is bonded to one Mg(1), one Fe(1), two equivalent Fe(3), and one Co(1) atom to form OMgFe3Co trigonal bipyramids that share corners with two equivalent O(3)Fe3Co tetrahedra, corners with three equivalent O(1)Fe3Co tetrahedra,  a cornercorner with one O(5)MgFe3Co trigonal bipyramid, corners with two equivalent O(2)MgFe2Co2 trigonal bipyramids, edges with two equivalent O(2)MgFe2Co2 trigonal bipyramids, and  a faceface with one O(5)MgFe3Co trigonal bipyramid. is represented by the CIF file [CIF]
data_MgFe4(CoO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.139
_cell_length_b   6.639
_cell_length_c   6.139
_cell_angle_alpha   57.140
_cell_angle_beta   59.016
_cell_angle_gamma   57.140
_symmetry_Int_Tables_number   1
_cell_volume   167.705
_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  0.052  0.444  0.052  1.0
  Fe  Fe1  1  0.921  0.076  0.921  1.0
  Fe  Fe2  1  0.380  0.118  0.380  1.0
  Fe  Fe3  1  0.083  0.693  0.533  1.0
  Fe  Fe4  1  0.533  0.693  0.083  1.0
  Co  Co5  1  0.628  0.156  0.628  1.0
  Co  Co6  1  0.631  0.591  0.631  1.0
  O  O7  1  0.386  0.411  0.386  1.0
  O  O8  1  0.459  0.292  0.946  1.0
  O  O9  1  0.394  0.805  0.394  1.0
  O  O10  1  0.946  0.292  0.459  1.0
  O  O11  1  0.331  0.936  0.793  1.0
  O  O12  1  0.869  0.424  0.869  1.0
  O  O13  1  0.793  0.936  0.331  1.0
  O  O14  1  0.871  0.828  0.871  1.0
[/CIF]
.
The compound described by MgFe4(CoO4)2 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(5), one O(6), and two equivalent O(2) atoms to form distorted MgO4 tetrahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, corners with four equivalent Fe(1)O6 octahedra, and  an edgeedge with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-70°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form distorted FeO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Mg(1)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra,  a faceface with one Co(1)O6 octahedra, and  a faceface with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Fe site, Fe(2) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(4) atoms to form FeO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Mg(1)O4 tetrahedra,  a faceface with one Co(1)O6 octahedra, and  a faceface with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. In the third Fe site, Fe(3) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(4), one O(5), and one O(6) atom. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form distorted CoO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Mg(1)O4 tetrahedra, edges with two equivalent Co(2)O6 octahedra,  a faceface with one Fe(1)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-53°. In the second Co site, Co(2) is bonded to one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form distorted CoO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Mg(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra,  a faceface with one Fe(1)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Fe(2), two equivalent Fe(3), and one Co(1) atom to form distorted OFe3Co tetrahedra that share  a cornercorner with one O(3)Fe3Co tetrahedra, corners with two equivalent O(5)MgFe3Co trigonal bipyramids, corners with three equivalent O(6)MgFe3Co trigonal bipyramids, corners with four equivalent O(2)MgFe2Co2 trigonal bipyramids, and  an edgeedge with one O(3)Fe3Co tetrahedra. In the second O site, O(2) is bonded to one Mg(1), one Fe(1), one Fe(2), one Co(1), and one Co(2) atom to form distorted OMgFe2Co2 trigonal bipyramids that share corners with two equivalent O(1)Fe3Co tetrahedra, corners with two equivalent O(3)Fe3Co tetrahedra,  a cornercorner with one O(5)MgFe3Co trigonal bipyramid,  a cornercorner with one O(6)MgFe3Co trigonal bipyramid,  an edgeedge with one O(2)MgFe2Co2 trigonal bipyramid,  an edgeedge with one O(5)MgFe3Co trigonal bipyramid,  an edgeedge with one O(6)MgFe3Co trigonal bipyramid, and  a faceface with one O(2)MgFe2Co2 trigonal bipyramid. In the third O site, O(3) is bonded to one Fe(2), two equivalent Fe(3), and one Co(2) atom to form distorted OFe3Co tetrahedra that share  a cornercorner with one O(1)Fe3Co tetrahedra, corners with two equivalent O(6)MgFe3Co trigonal bipyramids, corners with three equivalent O(5)MgFe3Co trigonal bipyramids, corners with four equivalent O(2)MgFe2Co2 trigonal bipyramids, and  an edgeedge with one O(1)Fe3Co tetrahedra. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Fe(1), one Fe(2), one Fe(3), one Co(1), and one Co(2) atom. In the fifth O site, O(5) is bonded to one Mg(1), one Fe(1), two equivalent Fe(3), and one Co(2) atom to form OMgFe3Co trigonal bipyramids that share corners with two equivalent O(1)Fe3Co tetrahedra, corners with three equivalent O(3)Fe3Co tetrahedra,  a cornercorner with one O(6)MgFe3Co trigonal bipyramid, corners with two equivalent O(2)MgFe2Co2 trigonal bipyramids, edges with two equivalent O(2)MgFe2Co2 trigonal bipyramids, and  a faceface with one O(6)MgFe3Co trigonal bipyramid. In the sixth O site, O(6) is bonded to one Mg(1), one Fe(1), two equivalent Fe(3), and one Co(1) atom to form OMgFe3Co trigonal bipyramids that share corners with two equivalent O(3)Fe3Co tetrahedra, corners with three equivalent O(1)Fe3Co tetrahedra,  a cornercorner with one O(5)MgFe3Co trigonal bipyramid, corners with two equivalent O(2)MgFe2Co2 trigonal bipyramids, edges with two equivalent O(2)MgFe2Co2 trigonal bipyramids, and  a faceface with one O(5)MgFe3Co trigonal bipyramid. is represented by the CIF file [CIF]
data_MgFe4(CoO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.139
_cell_length_b   6.639
_cell_length_c   6.139
_cell_angle_alpha   57.140
_cell_angle_beta   59.016
_cell_angle_gamma   57.140
_symmetry_Int_Tables_number   1
_cell_volume   167.705
_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  0.052  0.444  0.052  1.0
  Fe  Fe1  1  0.921  0.076  0.921  1.0
  Fe  Fe2  1  0.380  0.118  0.380  1.0
  Fe  Fe3  1  0.083  0.693  0.533  1.0
  Fe  Fe4  1  0.533  0.693  0.083  1.0
  Co  Co5  1  0.628  0.156  0.628  1.0
  Co  Co6  1  0.631  0.591  0.631  1.0
  O  O7  1  0.386  0.411  0.386  1.0
  O  O8  1  0.459  0.292  0.946  1.0
  O  O9  1  0.394  0.805  0.394  1.0
  O  O10  1  0.946  0.292  0.459  1.0
  O  O11  1  0.331  0.936  0.793  1.0
  O  O12  1  0.869  0.424  0.869  1.0
  O  O13  1  0.793  0.936  0.331  1.0
  O  O14  1  0.871  0.828  0.871  1.0
[/CIF]
.