The compound described by MgCr2Mn5O12 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. In the second Mn site, Mn(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 distorted MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-16°. In the third Mn site, Mn(3) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the fourth Mn site, Mn(4) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 8°. 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 Cr(1), one Mn(2), and one Mn(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. is represented by the CIF card [CIF]
data_MgMn5Cr2O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.173
_cell_length_b   5.173
_cell_length_c   10.292
_cell_angle_alpha   83.940
_cell_angle_beta   96.075
_cell_angle_gamma   59.546
_symmetry_Int_Tables_number   1
_cell_volume   231.955
_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  0.930  0.930  0.750  1.0
  Mn  Mn1  1  0.074  0.074  0.250  1.0
  Mn  Mn2  1  0.013  0.505  0.990  1.0
  Mn  Mn3  1  0.505  0.013  0.510  1.0
  Mn  Mn4  1  0.415  0.415  0.250  1.0
  Mn  Mn5  1  0.584  0.584  0.750  1.0
  Cr  Cr6  1  0.257  0.257  0.750  1.0
  Cr  Cr7  1  0.745  0.745  0.250  1.0
  O  O8  1  0.960  0.246  0.857  1.0
  O  O9  1  0.246  0.960  0.643  1.0
  O  O10  1  0.151  0.359  0.356  1.0
  O  O11  1  0.359  0.151  0.144  1.0
  O  O12  1  0.299  0.539  0.852  1.0
  O  O13  1  0.539  0.299  0.648  1.0
  O  O14  1  0.444  0.716  0.347  1.0
  O  O15  1  0.716  0.444  0.153  1.0
  O  O16  1  0.639  0.849  0.858  1.0
  O  O17  1  0.849  0.639  0.642  1.0
  O  O18  1  0.761  0.043  0.356  1.0
  O  O19  1  0.043  0.761  0.144  1.0
[/CIF]
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The compound described by MgCr2Mn5O12 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. In the second Mn site, Mn(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 distorted MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-16°. In the third Mn site, Mn(3) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the fourth Mn site, Mn(4) 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 Mn(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 8°. 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 Cr(1), one Mn(2), and one Mn(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom. is represented by the CIF card [CIF]
data_MgMn5Cr2O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.173
_cell_length_b   5.173
_cell_length_c   10.292
_cell_angle_alpha   83.940
_cell_angle_beta   96.075
_cell_angle_gamma   59.546
_symmetry_Int_Tables_number   1
_cell_volume   231.955
_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  0.930  0.930  0.750  1.0
  Mn  Mn1  1  0.074  0.074  0.250  1.0
  Mn  Mn2  1  0.013  0.505  0.990  1.0
  Mn  Mn3  1  0.505  0.013  0.510  1.0
  Mn  Mn4  1  0.415  0.415  0.250  1.0
  Mn  Mn5  1  0.584  0.584  0.750  1.0
  Cr  Cr6  1  0.257  0.257  0.750  1.0
  Cr  Cr7  1  0.745  0.745  0.250  1.0
  O  O8  1  0.960  0.246  0.857  1.0
  O  O9  1  0.246  0.960  0.643  1.0
  O  O10  1  0.151  0.359  0.356  1.0
  O  O11  1  0.359  0.151  0.144  1.0
  O  O12  1  0.299  0.539  0.852  1.0
  O  O13  1  0.539  0.299  0.648  1.0
  O  O14  1  0.444  0.716  0.347  1.0
  O  O15  1  0.716  0.444  0.153  1.0
  O  O16  1  0.639  0.849  0.858  1.0
  O  O17  1  0.849  0.639  0.642  1.0
  O  O18  1  0.761  0.043  0.356  1.0
  O  O19  1  0.043  0.761  0.144  1.0
[/CIF]
.