The crystal structure described by MgCo7O12 crystallizes in the triclinic P1 space group. Mg(1) 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 MgO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Co(3)O5 trigonal bipyramids,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 16-22°. There are seven 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,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-22°. 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 Co(1)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and  an edgeedge with one Co(3)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 16-19°. In the third Co site, Co(3) is bonded to one O(1), one O(10), one O(2), one O(5), and one O(6) atom to form CoO5 trigonal bipyramids that share  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-77°. In the fourth Co site, Co(4) is bonded in a 6-coordinate geometry to one O(10), one O(11), one O(2), one O(3), one O(6), and one O(7) atom. In the fifth Co site, Co(5) 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 CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 16-17°. In the sixth Co site, Co(6) 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 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)O5 trigonal bipyramid,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Co(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 16-22°. In the seventh Co site, Co(7) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(3), one O(7), and one O(8) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Co(2), one Co(3), and one Co(6) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Co(3), one Co(4), and one Co(6) atom. In the third O site, O(3) is bonded to one Co(1), one Co(4), one Co(5), and one Co(7) atom to form a mixture of distorted corner and edge-sharing OCo4 trigonal pyramids. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Mg(1), one Co(1), one Co(2), and one Co(5) atom. In the fifth O site, O(5) is bonded in a see-saw-like geometry to one Mg(1), one Co(2), one Co(3), and one Co(6) atom. In the sixth O site, O(6) is bonded in a T-shaped geometry to one Co(3), one Co(4), and one Co(6) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Co(1), one Co(4), one Co(5), and one Co(7) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Co(1), one Co(2), one Co(5), and one Co(7) atom to form distorted OMgCo4 square pyramids that share  a cornercorner with one O(12)MgCo4 trigonal bipyramid,  a cornercorner with one O(3)Co4 trigonal pyramid, edges with two equivalent O(12)MgCo4 trigonal bipyramids, and  an edgeedge with one O(3)Co4 trigonal pyramid. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(2), and one Co(6) atom. In the tenth O site, O(10) is bonded in a T-shaped geometry to one Co(3), one Co(4), and one Co(6) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Co(1), one Co(4), one Co(5), and one Co(7) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Co(1), one Co(2), one Co(5), and one Co(7) atom to form distorted OMgCo4 trigonal bipyramids that share  a cornercorner with one O(8)MgCo4 square pyramid,  a cornercorner with one O(3)Co4 trigonal pyramid, edges with two equivalent O(8)MgCo4 square pyramids, and  an edgeedge with one O(3)Co4 trigonal pyramid. is represented by the CIF card [CIF]
data_MgCo7O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.067
_cell_length_b   5.032
_cell_length_c   9.502
_cell_angle_alpha   86.086
_cell_angle_beta   96.495
_cell_angle_gamma   63.487
_symmetry_Int_Tables_number   1
_cell_volume   213.478
_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  0.669  0.150  0.984  1.0
  Co  Co1  1  0.110  0.051  0.252  1.0
  Co  Co2  1  0.004  0.518  0.990  1.0
  Co  Co3  1  0.181  0.324  0.726  1.0
  Co  Co4  1  0.536  0.011  0.519  1.0
  Co  Co5  1  0.453  0.378  0.257  1.0
  Co  Co6  1  0.558  0.608  0.747  1.0
  Co  Co7  1  0.792  0.700  0.270  1.0
  O  O8  1  0.916  0.282  0.857  1.0
  O  O9  1  0.272  0.977  0.639  1.0
  O  O10  1  0.193  0.314  0.366  1.0
  O  O11  1  0.344  0.191  0.112  1.0
  O  O12  1  0.308  0.505  0.863  1.0
  O  O13  1  0.468  0.361  0.636  1.0
  O  O14  1  0.462  0.708  0.341  1.0
  O  O15  1  0.763  0.397  0.156  1.0
  O  O16  1  0.660  0.806  0.890  1.0
  O  O17  1  0.805  0.651  0.630  1.0
  O  O18  1  0.787  0.004  0.372  1.0
  O  O19  1  0.997  0.795  0.136  1.0
[/CIF]
.
The crystal structure described by MgCo7O12 crystallizes in the triclinic P1 space group. Mg(1) 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 MgO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Co(3)O5 trigonal bipyramids,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 16-22°. There are seven 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,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-22°. 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 Co(1)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and  an edgeedge with one Co(3)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 16-19°. In the third Co site, Co(3) is bonded to one O(1), one O(10), one O(2), one O(5), and one O(6) atom to form CoO5 trigonal bipyramids that share  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-77°. In the fourth Co site, Co(4) is bonded in a 6-coordinate geometry to one O(10), one O(11), one O(2), one O(3), one O(6), and one O(7) atom. In the fifth Co site, Co(5) 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 CoO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 16-17°. In the sixth Co site, Co(6) 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 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)O5 trigonal bipyramid,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Co(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 16-22°. In the seventh Co site, Co(7) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(3), one O(7), and one O(8) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Co(2), one Co(3), and one Co(6) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Co(3), one Co(4), and one Co(6) atom. In the third O site, O(3) is bonded to one Co(1), one Co(4), one Co(5), and one Co(7) atom to form a mixture of distorted corner and edge-sharing OCo4 trigonal pyramids. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Mg(1), one Co(1), one Co(2), and one Co(5) atom. In the fifth O site, O(5) is bonded in a see-saw-like geometry to one Mg(1), one Co(2), one Co(3), and one Co(6) atom. In the sixth O site, O(6) is bonded in a T-shaped geometry to one Co(3), one Co(4), and one Co(6) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Co(1), one Co(4), one Co(5), and one Co(7) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Co(1), one Co(2), one Co(5), and one Co(7) atom to form distorted OMgCo4 square pyramids that share  a cornercorner with one O(12)MgCo4 trigonal bipyramid,  a cornercorner with one O(3)Co4 trigonal pyramid, edges with two equivalent O(12)MgCo4 trigonal bipyramids, and  an edgeedge with one O(3)Co4 trigonal pyramid. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(2), and one Co(6) atom. In the tenth O site, O(10) is bonded in a T-shaped geometry to one Co(3), one Co(4), and one Co(6) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Co(1), one Co(4), one Co(5), and one Co(7) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Co(1), one Co(2), one Co(5), and one Co(7) atom to form distorted OMgCo4 trigonal bipyramids that share  a cornercorner with one O(8)MgCo4 square pyramid,  a cornercorner with one O(3)Co4 trigonal pyramid, edges with two equivalent O(8)MgCo4 square pyramids, and  an edgeedge with one O(3)Co4 trigonal pyramid. is represented by the CIF card [CIF]
data_MgCo7O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.067
_cell_length_b   5.032
_cell_length_c   9.502
_cell_angle_alpha   86.086
_cell_angle_beta   96.495
_cell_angle_gamma   63.487
_symmetry_Int_Tables_number   1
_cell_volume   213.478
_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  0.669  0.150  0.984  1.0
  Co  Co1  1  0.110  0.051  0.252  1.0
  Co  Co2  1  0.004  0.518  0.990  1.0
  Co  Co3  1  0.181  0.324  0.726  1.0
  Co  Co4  1  0.536  0.011  0.519  1.0
  Co  Co5  1  0.453  0.378  0.257  1.0
  Co  Co6  1  0.558  0.608  0.747  1.0
  Co  Co7  1  0.792  0.700  0.270  1.0
  O  O8  1  0.916  0.282  0.857  1.0
  O  O9  1  0.272  0.977  0.639  1.0
  O  O10  1  0.193  0.314  0.366  1.0
  O  O11  1  0.344  0.191  0.112  1.0
  O  O12  1  0.308  0.505  0.863  1.0
  O  O13  1  0.468  0.361  0.636  1.0
  O  O14  1  0.462  0.708  0.341  1.0
  O  O15  1  0.763  0.397  0.156  1.0
  O  O16  1  0.660  0.806  0.890  1.0
  O  O17  1  0.805  0.651  0.630  1.0
  O  O18  1  0.787  0.004  0.372  1.0
  O  O19  1  0.997  0.795  0.136  1.0
[/CIF]
.