The crystal structure described by MgMn2Co5O12 is Corundum-derived structured and crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. In the second Mn site, Mn(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the second Co site, Co(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  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(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  an edgeedge with one Mg(1)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(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the third Co site, Co(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)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 are 13°. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. 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(3) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom. is represented by the CIF file [CIF]
data_MgMn2Co5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.157
_cell_length_b   5.159
_cell_length_c   10.016
_cell_angle_alpha   84.375
_cell_angle_beta   95.583
_cell_angle_gamma   58.055
_symmetry_Int_Tables_number   1
_cell_volume   221.498
_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  0.920  0.920  0.750  1.0
  Mn  Mn1  1  0.249  0.248  0.750  1.0
  Mn  Mn2  1  0.755  0.755  0.250  1.0
  Co  Co3  1  0.085  0.085  0.250  1.0
  Co  Co4  1  0.010  0.494  0.998  1.0
  Co  Co5  1  0.494  0.010  0.501  1.0
  Co  Co6  1  0.421  0.421  0.250  1.0
  Co  Co7  1  0.580  0.580  0.750  1.0
  O  O8  1  0.949  0.243  0.855  1.0
  O  O9  1  0.243  0.949  0.645  1.0
  O  O10  1  0.130  0.379  0.360  1.0
  O  O11  1  0.379  0.131  0.140  1.0
  O  O12  1  0.283  0.516  0.856  1.0
  O  O13  1  0.516  0.283  0.644  1.0
  O  O14  1  0.467  0.740  0.355  1.0
  O  O15  1  0.740  0.467  0.145  1.0
  O  O16  1  0.616  0.856  0.859  1.0
  O  O17  1  0.855  0.616  0.641  1.0
  O  O18  1  0.771  0.041  0.356  1.0
  O  O19  1  0.041  0.771  0.144  1.0
[/CIF]
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The crystal structure described by MgMn2Co5O12 is Corundum-derived structured and crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. In the second Mn site, Mn(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mn(2)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the second Co site, Co(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  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(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  an edgeedge with one Mg(1)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(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the third Co site, Co(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)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 are 13°. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. 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(3) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Co(2), and one Co(4) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Co(1), one Co(2), and one Co(3) atom. is represented by the CIF file [CIF]
data_MgMn2Co5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.157
_cell_length_b   5.159
_cell_length_c   10.016
_cell_angle_alpha   84.375
_cell_angle_beta   95.583
_cell_angle_gamma   58.055
_symmetry_Int_Tables_number   1
_cell_volume   221.498
_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  0.920  0.920  0.750  1.0
  Mn  Mn1  1  0.249  0.248  0.750  1.0
  Mn  Mn2  1  0.755  0.755  0.250  1.0
  Co  Co3  1  0.085  0.085  0.250  1.0
  Co  Co4  1  0.010  0.494  0.998  1.0
  Co  Co5  1  0.494  0.010  0.501  1.0
  Co  Co6  1  0.421  0.421  0.250  1.0
  Co  Co7  1  0.580  0.580  0.750  1.0
  O  O8  1  0.949  0.243  0.855  1.0
  O  O9  1  0.243  0.949  0.645  1.0
  O  O10  1  0.130  0.379  0.360  1.0
  O  O11  1  0.379  0.131  0.140  1.0
  O  O12  1  0.283  0.516  0.856  1.0
  O  O13  1  0.516  0.283  0.644  1.0
  O  O14  1  0.467  0.740  0.355  1.0
  O  O15  1  0.740  0.467  0.145  1.0
  O  O16  1  0.616  0.856  0.859  1.0
  O  O17  1  0.855  0.616  0.641  1.0
  O  O18  1  0.771  0.041  0.356  1.0
  O  O19  1  0.041  0.771  0.144  1.0
[/CIF]
.