The material structure described by MgCoMnO4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded in a distorted rectangular see-saw-like geometry to one O(2), one O(3), and two equivalent O(4) atoms. Mn(1) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(4) atoms to form MnO6 octahedra that share edges with two equivalent Mn(1)O6 octahedra and edges with four equivalent Co(1)O6 octahedra. Co(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms to form CoO6 octahedra that share edges with two equivalent Co(1)O6 octahedra and edges with four equivalent Mn(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to two equivalent Mn(1) and one Co(1) atom. In the second O site, O(2) is bonded to one Mg(1), one Mn(1), and two equivalent Co(1) atoms to form distorted OMgMnCo2 tetrahedra that share corners with two equivalent O(2)MgMnCo2 tetrahedra, corners with two equivalent O(4)Mg2Mn2Co trigonal bipyramids, corners with four equivalent O(3)MgMnCo2 trigonal pyramids, edges with two equivalent O(4)Mg2Mn2Co trigonal bipyramids, and  an edgeedge with one O(3)MgMnCo2 trigonal pyramid. In the third O site, O(3) is bonded to one Mg(1), one Mn(1), and two equivalent Co(1) atoms to form OMgMnCo2 trigonal pyramids that share corners with four equivalent O(2)MgMnCo2 tetrahedra, corners with two equivalent O(4)Mg2Mn2Co trigonal bipyramids, corners with two equivalent O(3)MgMnCo2 trigonal pyramids,  an edgeedge with one O(2)MgMnCo2 tetrahedra, and edges with two equivalent O(4)Mg2Mn2Co trigonal bipyramids. In the fourth O site, O(4) is bonded to two equivalent Mg(1), two equivalent Mn(1), and one Co(1) atom to form distorted OMg2Mn2Co trigonal bipyramids that share corners with two equivalent O(2)MgMnCo2 tetrahedra, corners with two equivalent O(3)MgMnCo2 trigonal pyramids, edges with two equivalent O(2)MgMnCo2 tetrahedra, edges with two equivalent O(4)Mg2Mn2Co trigonal bipyramids, and edges with two equivalent O(3)MgMnCo2 trigonal pyramids. is represented by the CIF file [CIF]
data_MgMnCoO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.620
_cell_length_b   2.970
_cell_length_c   5.254
_cell_angle_alpha   90.000
_cell_angle_beta   70.029
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   82.415
_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  0.500  0.146  1.0
  Mn  Mn1  1  0.537  0.500  0.977  1.0
  Co  Co2  1  0.477  0.000  0.510  1.0
  O  O3  1  0.720  0.000  0.779  1.0
  O  O4  1  0.692  0.500  0.250  1.0
  O  O5  1  0.310  0.500  0.772  1.0
  O  O6  1  0.287  0.000  0.205  1.0
[/CIF]
.
The material structure described by MgCoMnO4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded in a distorted rectangular see-saw-like geometry to one O(2), one O(3), and two equivalent O(4) atoms. Mn(1) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(4) atoms to form MnO6 octahedra that share edges with two equivalent Mn(1)O6 octahedra and edges with four equivalent Co(1)O6 octahedra. Co(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms to form CoO6 octahedra that share edges with two equivalent Co(1)O6 octahedra and edges with four equivalent Mn(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to two equivalent Mn(1) and one Co(1) atom. In the second O site, O(2) is bonded to one Mg(1), one Mn(1), and two equivalent Co(1) atoms to form distorted OMgMnCo2 tetrahedra that share corners with two equivalent O(2)MgMnCo2 tetrahedra, corners with two equivalent O(4)Mg2Mn2Co trigonal bipyramids, corners with four equivalent O(3)MgMnCo2 trigonal pyramids, edges with two equivalent O(4)Mg2Mn2Co trigonal bipyramids, and  an edgeedge with one O(3)MgMnCo2 trigonal pyramid. In the third O site, O(3) is bonded to one Mg(1), one Mn(1), and two equivalent Co(1) atoms to form OMgMnCo2 trigonal pyramids that share corners with four equivalent O(2)MgMnCo2 tetrahedra, corners with two equivalent O(4)Mg2Mn2Co trigonal bipyramids, corners with two equivalent O(3)MgMnCo2 trigonal pyramids,  an edgeedge with one O(2)MgMnCo2 tetrahedra, and edges with two equivalent O(4)Mg2Mn2Co trigonal bipyramids. In the fourth O site, O(4) is bonded to two equivalent Mg(1), two equivalent Mn(1), and one Co(1) atom to form distorted OMg2Mn2Co trigonal bipyramids that share corners with two equivalent O(2)MgMnCo2 tetrahedra, corners with two equivalent O(3)MgMnCo2 trigonal pyramids, edges with two equivalent O(2)MgMnCo2 tetrahedra, edges with two equivalent O(4)Mg2Mn2Co trigonal bipyramids, and edges with two equivalent O(3)MgMnCo2 trigonal pyramids. is represented by the CIF file [CIF]
data_MgMnCoO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.620
_cell_length_b   2.970
_cell_length_c   5.254
_cell_angle_alpha   90.000
_cell_angle_beta   70.029
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   82.415
_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  0.500  0.146  1.0
  Mn  Mn1  1  0.537  0.500  0.977  1.0
  Co  Co2  1  0.477  0.000  0.510  1.0
  O  O3  1  0.720  0.000  0.779  1.0
  O  O4  1  0.692  0.500  0.250  1.0
  O  O5  1  0.310  0.500  0.772  1.0
  O  O6  1  0.287  0.000  0.205  1.0
[/CIF]
.