The compound described by MgCr2Mn5O12 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 MgO6 octahedra that share  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(4)O6 octahedra,  a cornercorner with one Mn(5)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(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with three equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-15°. In the second Cr site, Cr(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 CrO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. There are five inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-12°. In the second Mn site, Mn(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 MnO6 octahedra that share  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(4)O6 octahedra,  a cornercorner with one Mn(5)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(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and edges with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the third Mn site, Mn(3) 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 fourth Mn site, Mn(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 MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one 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 13°. In the fifth Mn site, Mn(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 MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. 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 Cr(1), one Mn(2), and one Mn(5) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Cr(1), one Mn(3), and one Mn(5) atom. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom. In the fourth O site, O(4) is bonded to one Mg(1), one Cr(2), one Mn(1), one Mn(2), and one Mn(4) atom to form a mixture of corner and edge-sharing OMgMn3Cr square pyramids. 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(5) atom. In the sixth O site, O(6) is bonded in a T-shaped geometry to one Cr(1), one Mn(3), and one Mn(5) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Cr(2), one Mn(1), one Mn(2), and one Mn(4) atom to form a mixture of distorted corner and edge-sharing OMgMn3Cr square pyramids. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(5) atom. In the tenth O site, O(10) is bonded in a T-shaped geometry to one Cr(1), one Mn(3), and one Mn(5) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Cr(2), one Mn(1), one Mn(2), and one Mn(4) atom to form a mixture of corner and edge-sharing OMgMn3Cr square pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgMn5Cr2O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.249
_cell_length_b   5.200
_cell_length_c   9.862
_cell_angle_alpha   84.684
_cell_angle_beta   97.230
_cell_angle_gamma   59.752
_symmetry_Int_Tables_number   1
_cell_volume   226.841
_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  0.673  0.168  0.989  1.0
  Mn  Mn1  1  0.087  0.064  0.261  1.0
  Mn  Mn2  1  0.998  0.533  0.983  1.0
  Mn  Mn3  1  0.558  0.996  0.522  1.0
  Mn  Mn4  1  0.428  0.412  0.252  1.0
  Mn  Mn5  1  0.561  0.591  0.744  1.0
  Cr  Cr6  1  0.234  0.265  0.742  1.0
  Cr  Cr7  1  0.754  0.734  0.254  1.0
  O  O8  1  0.934  0.272  0.875  1.0
  O  O9  1  0.275  0.965  0.624  1.0
  O  O10  1  0.160  0.348  0.357  1.0
  O  O11  1  0.379  0.163  0.126  1.0
  O  O12  1  0.310  0.517  0.862  1.0
  O  O13  1  0.502  0.319  0.643  1.0
  O  O14  1  0.458  0.710  0.351  1.0
  O  O15  1  0.731  0.422  0.147  1.0
  O  O16  1  0.613  0.864  0.877  1.0
  O  O17  1  0.835  0.598  0.634  1.0
  O  O18  1  0.786  0.000  0.374  1.0
  O  O19  1  0.003  0.798  0.130  1.0
[/CIF]
.
The compound described by MgCr2Mn5O12 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 MgO6 octahedra that share  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(4)O6 octahedra,  a cornercorner with one Mn(5)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(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with three equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-15°. In the second Cr site, Cr(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 CrO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. There are five inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-12°. In the second Mn site, Mn(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 MnO6 octahedra that share  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(4)O6 octahedra,  a cornercorner with one Mn(5)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(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and edges with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the third Mn site, Mn(3) 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 fourth Mn site, Mn(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 MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one 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 13°. In the fifth Mn site, Mn(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 MnO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. 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 Cr(1), one Mn(2), and one Mn(5) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Cr(1), one Mn(3), and one Mn(5) atom. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom. In the fourth O site, O(4) is bonded to one Mg(1), one Cr(2), one Mn(1), one Mn(2), and one Mn(4) atom to form a mixture of corner and edge-sharing OMgMn3Cr square pyramids. 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(5) atom. In the sixth O site, O(6) is bonded in a T-shaped geometry to one Cr(1), one Mn(3), and one Mn(5) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Cr(2), one Mn(1), one Mn(2), and one Mn(4) atom to form a mixture of distorted corner and edge-sharing OMgMn3Cr square pyramids. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Mn(2), and one Mn(5) atom. In the tenth O site, O(10) is bonded in a T-shaped geometry to one Cr(1), one Mn(3), and one Mn(5) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Cr(2), one Mn(1), one Mn(2), and one Mn(4) atom to form a mixture of corner and edge-sharing OMgMn3Cr square pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgMn5Cr2O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.249
_cell_length_b   5.200
_cell_length_c   9.862
_cell_angle_alpha   84.684
_cell_angle_beta   97.230
_cell_angle_gamma   59.752
_symmetry_Int_Tables_number   1
_cell_volume   226.841
_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  0.673  0.168  0.989  1.0
  Mn  Mn1  1  0.087  0.064  0.261  1.0
  Mn  Mn2  1  0.998  0.533  0.983  1.0
  Mn  Mn3  1  0.558  0.996  0.522  1.0
  Mn  Mn4  1  0.428  0.412  0.252  1.0
  Mn  Mn5  1  0.561  0.591  0.744  1.0
  Cr  Cr6  1  0.234  0.265  0.742  1.0
  Cr  Cr7  1  0.754  0.734  0.254  1.0
  O  O8  1  0.934  0.272  0.875  1.0
  O  O9  1  0.275  0.965  0.624  1.0
  O  O10  1  0.160  0.348  0.357  1.0
  O  O11  1  0.379  0.163  0.126  1.0
  O  O12  1  0.310  0.517  0.862  1.0
  O  O13  1  0.502  0.319  0.643  1.0
  O  O14  1  0.458  0.710  0.351  1.0
  O  O15  1  0.731  0.422  0.147  1.0
  O  O16  1  0.613  0.864  0.877  1.0
  O  O17  1  0.835  0.598  0.634  1.0
  O  O18  1  0.786  0.000  0.374  1.0
  O  O19  1  0.003  0.798  0.130  1.0
[/CIF]
.