The structure described by MgMn2CoO6 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form MgO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-26°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(6) atoms to form MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 25°. In the second Mn site, Mn(2) is bonded to one O(2), one O(6), two equivalent O(3), and two equivalent O(5) atoms to form distorted MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 26°. Co(1) is bonded to one O(1), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form CoO6 octahedra that share corners with four equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-12°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to two equivalent Mn(1) and one Co(1) atom. In the second O site, O(2) is bonded to two equivalent Mg(1), one Mn(2), and two equivalent Co(1) atoms to form OMg2MnCo2 square pyramids that share corners with four equivalent O(4)Mg2MnCo2 square pyramids, corners with three equivalent O(6)MgMn3 trigonal pyramids, edges with two equivalent O(2)Mg2MnCo2 square pyramids, and edges with two equivalent O(4)Mg2MnCo2 square pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), and two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded to two equivalent Mg(1), one Mn(1), and two equivalent Co(1) atoms to form OMg2MnCo2 square pyramids that share corners with four equivalent O(2)Mg2MnCo2 square pyramids, edges with two equivalent O(2)Mg2MnCo2 square pyramids, edges with two equivalent O(4)Mg2MnCo2 square pyramids, and edges with two equivalent O(6)MgMn3 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Mn(2) and one Co(1) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Mn(2), and two equivalent Mn(1) atoms to form distorted OMgMn3 trigonal pyramids that share corners with three equivalent O(2)Mg2MnCo2 square pyramids, corners with two equivalent O(6)MgMn3 trigonal pyramids, and edges with two equivalent O(4)Mg2MnCo2 square pyramids. is represented by the CIF file [CIF]
data_MgMn2CoO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.561
_cell_length_b   2.920
_cell_length_c   5.734
_cell_angle_alpha   90.014
_cell_angle_beta   101.760
_cell_angle_gamma   77.123
_symmetry_Int_Tables_number   1
_cell_volume   104.737
_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  0.350  0.324  0.841  1.0
  Mn  Mn1  1  0.988  0.005  0.026  1.0
  Mn  Mn2  1  0.694  0.652  0.615  1.0
  Co  Co3  1  0.321  0.339  0.343  1.0
  O  O4  1  0.008  0.495  0.250  1.0
  O  O5  1  0.338  0.830  0.576  1.0
  O  O6  1  0.688  0.156  0.861  1.0
  O  O7  1  0.303  0.848  0.108  1.0
  O  O8  1  0.624  0.187  0.392  1.0
  O  O9  1  0.021  0.489  0.810  1.0
[/CIF]
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The structure described by MgMn2CoO6 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form MgO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-26°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(6) atoms to form MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 25°. In the second Mn site, Mn(2) is bonded to one O(2), one O(6), two equivalent O(3), and two equivalent O(5) atoms to form distorted MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 26°. Co(1) is bonded to one O(1), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form CoO6 octahedra that share corners with four equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-12°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to two equivalent Mn(1) and one Co(1) atom. In the second O site, O(2) is bonded to two equivalent Mg(1), one Mn(2), and two equivalent Co(1) atoms to form OMg2MnCo2 square pyramids that share corners with four equivalent O(4)Mg2MnCo2 square pyramids, corners with three equivalent O(6)MgMn3 trigonal pyramids, edges with two equivalent O(2)Mg2MnCo2 square pyramids, and edges with two equivalent O(4)Mg2MnCo2 square pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), and two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded to two equivalent Mg(1), one Mn(1), and two equivalent Co(1) atoms to form OMg2MnCo2 square pyramids that share corners with four equivalent O(2)Mg2MnCo2 square pyramids, edges with two equivalent O(2)Mg2MnCo2 square pyramids, edges with two equivalent O(4)Mg2MnCo2 square pyramids, and edges with two equivalent O(6)MgMn3 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Mn(2) and one Co(1) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Mn(2), and two equivalent Mn(1) atoms to form distorted OMgMn3 trigonal pyramids that share corners with three equivalent O(2)Mg2MnCo2 square pyramids, corners with two equivalent O(6)MgMn3 trigonal pyramids, and edges with two equivalent O(4)Mg2MnCo2 square pyramids. is represented by the CIF file [CIF]
data_MgMn2CoO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.561
_cell_length_b   2.920
_cell_length_c   5.734
_cell_angle_alpha   90.014
_cell_angle_beta   101.760
_cell_angle_gamma   77.123
_symmetry_Int_Tables_number   1
_cell_volume   104.737
_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  0.350  0.324  0.841  1.0
  Mn  Mn1  1  0.988  0.005  0.026  1.0
  Mn  Mn2  1  0.694  0.652  0.615  1.0
  Co  Co3  1  0.321  0.339  0.343  1.0
  O  O4  1  0.008  0.495  0.250  1.0
  O  O5  1  0.338  0.830  0.576  1.0
  O  O6  1  0.688  0.156  0.861  1.0
  O  O7  1  0.303  0.848  0.108  1.0
  O  O8  1  0.624  0.187  0.392  1.0
  O  O9  1  0.021  0.489  0.810  1.0
[/CIF]
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