The crystal structure described by MgMn2Co5O12 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(11), one O(2), one O(3), one O(6), and one O(7) atom to form MgO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-22°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-22°. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form distorted MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-18°. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-17°. In the second Co site, Co(2) is bonded to one O(1), one O(12), one O(4), one O(5), one O(8), and one O(9) atom to form distorted CoO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-18°. In the third Co site, Co(3) is bonded to one O(10), one O(11), one O(2), one O(3), one O(6), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-15°. In the fourth Co site, Co(4) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-17°. In the fifth Co site, Co(5) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form distorted CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-17°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Mn(1), one Co(2), and one Co(5) atom. In the second O site, O(2) is bonded to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom to form a mixture of distorted corner and edge-sharing OMgMnCo2 trigonal pyramids. In the third O site, O(3) is bonded to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form OMgMnCo3 square pyramids that share  a cornercorner with one O(11)MgMnCo3 square pyramid,  a cornercorner with one O(7)MgMnCo3 square pyramid, corners with two equivalent O(2)MgMnCo2 trigonal pyramids, edges with two equivalent O(11)MgMnCo3 square pyramids, and edges with two equivalent O(7)MgMnCo3 square pyramids. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Mn(1), one Co(2), and one Co(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the seventh O site, O(7) is bonded to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form OMgMnCo3 square pyramids that share  a cornercorner with one O(11)MgMnCo3 square pyramid,  a cornercorner with one O(3)MgMnCo3 square pyramid, edges with two equivalent O(11)MgMnCo3 square pyramids, edges with two equivalent O(3)MgMnCo3 square pyramids, and  an edgeedge with one O(2)MgMnCo2 trigonal pyramid. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom. In the ninth O site, O(9) is bonded in a T-shaped geometry to one Mn(1), one Co(2), and one Co(5) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the eleventh O site, O(11) is bonded to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form OMgMnCo3 square pyramids that share  a cornercorner with one O(3)MgMnCo3 square pyramid,  a cornercorner with one O(7)MgMnCo3 square pyramid, corners with two equivalent O(2)MgMnCo2 trigonal pyramids, edges with two equivalent O(3)MgMnCo3 square pyramids, and edges with two equivalent O(7)MgMnCo3 square pyramids. In the twelfth O site, O(12) is bonded in a see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom. is represented by the CIF file [CIF]
data_MgMn2Co5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.133
_cell_length_b   5.010
_cell_length_c   9.619
_cell_angle_alpha   83.129
_cell_angle_beta   95.260
_cell_angle_gamma   60.423
_symmetry_Int_Tables_number   1
_cell_volume   210.347
_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  0.167  0.673  0.505  1.0
  Mn  Mn1  1  0.245  0.231  0.749  1.0
  Mn  Mn2  1  0.724  0.778  0.243  1.0
  Co  Co3  1  0.072  0.108  0.251  1.0
  Co  Co4  1  0.976  0.565  0.978  1.0
  Co  Co5  1  0.540  0.980  0.513  1.0
  Co  Co6  1  0.403  0.444  0.244  1.0
  Co  Co7  1  0.596  0.529  0.765  1.0
  O  O8  1  0.970  0.234  0.871  1.0
  O  O9  1  0.293  0.914  0.627  1.0
  O  O10  1  0.186  0.332  0.377  1.0
  O  O11  1  0.304  0.204  0.135  1.0
  O  O12  1  0.286  0.501  0.855  1.0
  O  O13  1  0.508  0.275  0.630  1.0
  O  O14  1  0.432  0.740  0.358  1.0
  O  O15  1  0.721  0.469  0.146  1.0
  O  O16  1  0.611  0.852  0.872  1.0
  O  O17  1  0.884  0.585  0.617  1.0
  O  O18  1  0.793  0.024  0.370  1.0
  O  O19  1  0.018  0.816  0.142  1.0
[/CIF]
.
The crystal structure described by MgMn2Co5O12 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(11), one O(2), one O(3), one O(6), and one O(7) atom to form MgO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-22°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-22°. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form distorted MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-18°. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-17°. In the second Co site, Co(2) is bonded to one O(1), one O(12), one O(4), one O(5), one O(8), and one O(9) atom to form distorted CoO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-18°. In the third Co site, Co(3) is bonded to one O(10), one O(11), one O(2), one O(3), one O(6), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-15°. In the fourth Co site, Co(4) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-17°. In the fifth Co site, Co(5) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form distorted CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-17°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Mn(1), one Co(2), and one Co(5) atom. In the second O site, O(2) is bonded to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom to form a mixture of distorted corner and edge-sharing OMgMnCo2 trigonal pyramids. In the third O site, O(3) is bonded to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form OMgMnCo3 square pyramids that share  a cornercorner with one O(11)MgMnCo3 square pyramid,  a cornercorner with one O(7)MgMnCo3 square pyramid, corners with two equivalent O(2)MgMnCo2 trigonal pyramids, edges with two equivalent O(11)MgMnCo3 square pyramids, and edges with two equivalent O(7)MgMnCo3 square pyramids. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Mn(1), one Co(2), and one Co(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the seventh O site, O(7) is bonded to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form OMgMnCo3 square pyramids that share  a cornercorner with one O(11)MgMnCo3 square pyramid,  a cornercorner with one O(3)MgMnCo3 square pyramid, edges with two equivalent O(11)MgMnCo3 square pyramids, edges with two equivalent O(3)MgMnCo3 square pyramids, and  an edgeedge with one O(2)MgMnCo2 trigonal pyramid. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom. In the ninth O site, O(9) is bonded in a T-shaped geometry to one Mn(1), one Co(2), and one Co(5) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(3), and one Co(5) atom. In the eleventh O site, O(11) is bonded to one Mg(1), one Mn(2), one Co(1), one Co(3), and one Co(4) atom to form OMgMnCo3 square pyramids that share  a cornercorner with one O(3)MgMnCo3 square pyramid,  a cornercorner with one O(7)MgMnCo3 square pyramid, corners with two equivalent O(2)MgMnCo2 trigonal pyramids, edges with two equivalent O(3)MgMnCo3 square pyramids, and edges with two equivalent O(7)MgMnCo3 square pyramids. In the twelfth O site, O(12) is bonded in a see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(4) atom. is represented by the CIF file [CIF]
data_MgMn2Co5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.133
_cell_length_b   5.010
_cell_length_c   9.619
_cell_angle_alpha   83.129
_cell_angle_beta   95.260
_cell_angle_gamma   60.423
_symmetry_Int_Tables_number   1
_cell_volume   210.347
_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  0.167  0.673  0.505  1.0
  Mn  Mn1  1  0.245  0.231  0.749  1.0
  Mn  Mn2  1  0.724  0.778  0.243  1.0
  Co  Co3  1  0.072  0.108  0.251  1.0
  Co  Co4  1  0.976  0.565  0.978  1.0
  Co  Co5  1  0.540  0.980  0.513  1.0
  Co  Co6  1  0.403  0.444  0.244  1.0
  Co  Co7  1  0.596  0.529  0.765  1.0
  O  O8  1  0.970  0.234  0.871  1.0
  O  O9  1  0.293  0.914  0.627  1.0
  O  O10  1  0.186  0.332  0.377  1.0
  O  O11  1  0.304  0.204  0.135  1.0
  O  O12  1  0.286  0.501  0.855  1.0
  O  O13  1  0.508  0.275  0.630  1.0
  O  O14  1  0.432  0.740  0.358  1.0
  O  O15  1  0.721  0.469  0.146  1.0
  O  O16  1  0.611  0.852  0.872  1.0
  O  O17  1  0.884  0.585  0.617  1.0
  O  O18  1  0.793  0.024  0.370  1.0
  O  O19  1  0.018  0.816  0.142  1.0
[/CIF]
.