The crystal structure described by MgMn2O4 is Corundum-derived structured and crystallizes in the orthorhombic Pmm2 space group. Mg(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form distorted MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-28°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with four equivalent Mg(1)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form distorted MnO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-26°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Mn(1) and two equivalent Mn(2) atoms to form OMn4 trigonal pyramids that share corners with two equivalent O(2)Mg2Mn2 trigonal pyramids, corners with four equivalent O(1)Mn4 trigonal pyramids, edges with four equivalent O(4)Mg2Mn4 octahedra, and  an edgeedge with one O(2)Mg2Mn2 trigonal pyramid. In the second O site, O(2) is bonded to two equivalent Mg(1) and two equivalent Mn(1) atoms to form distorted OMg2Mn2 trigonal pyramids that share corners with two equivalent O(1)Mn4 trigonal pyramids, corners with four equivalent O(2)Mg2Mn2 trigonal pyramids, edges with four equivalent O(4)Mg2Mn4 octahedra, and  an edgeedge with one O(1)Mn4 trigonal pyramid. In the third O site, O(3) is bonded in a square co-planar geometry to two equivalent Mg(1) and two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded to two equivalent Mg(1), two equivalent Mn(1), and two equivalent Mn(2) atoms to form OMg2Mn4 octahedra that share corners with two equivalent O(4)Mg2Mn4 octahedra, edges with two equivalent O(4)Mg2Mn4 octahedra, edges with four equivalent O(2)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(1)Mn4 trigonal pyramids. The corner-sharing octahedra are not tilted. is represented by the CIF file [CIF]
data_MgMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.084
_cell_length_b   6.342
_cell_length_c   3.007
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   77.873
_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  0.750  0.914  0.750  1.0
  Mn  Mn1  1  0.250  0.636  0.250  1.0
  Mn  Mn2  1  0.750  0.352  0.750  1.0
  O  O3  1  0.250  0.426  0.750  1.0
  O  O4  1  0.250  0.833  0.750  1.0
  O  O5  1  0.750  0.131  0.250  1.0
  O  O6  1  0.750  0.635  0.250  1.0
[/CIF]
.
The crystal structure described by MgMn2O4 is Corundum-derived structured and crystallizes in the orthorhombic Pmm2 space group. Mg(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form distorted MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-28°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with four equivalent Mg(1)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form distorted MnO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-26°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Mn(1) and two equivalent Mn(2) atoms to form OMn4 trigonal pyramids that share corners with two equivalent O(2)Mg2Mn2 trigonal pyramids, corners with four equivalent O(1)Mn4 trigonal pyramids, edges with four equivalent O(4)Mg2Mn4 octahedra, and  an edgeedge with one O(2)Mg2Mn2 trigonal pyramid. In the second O site, O(2) is bonded to two equivalent Mg(1) and two equivalent Mn(1) atoms to form distorted OMg2Mn2 trigonal pyramids that share corners with two equivalent O(1)Mn4 trigonal pyramids, corners with four equivalent O(2)Mg2Mn2 trigonal pyramids, edges with four equivalent O(4)Mg2Mn4 octahedra, and  an edgeedge with one O(1)Mn4 trigonal pyramid. In the third O site, O(3) is bonded in a square co-planar geometry to two equivalent Mg(1) and two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded to two equivalent Mg(1), two equivalent Mn(1), and two equivalent Mn(2) atoms to form OMg2Mn4 octahedra that share corners with two equivalent O(4)Mg2Mn4 octahedra, edges with two equivalent O(4)Mg2Mn4 octahedra, edges with four equivalent O(2)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(1)Mn4 trigonal pyramids. The corner-sharing octahedra are not tilted. is represented by the CIF file [CIF]
data_MgMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.084
_cell_length_b   6.342
_cell_length_c   3.007
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   77.873
_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  0.750  0.914  0.750  1.0
  Mn  Mn1  1  0.250  0.636  0.250  1.0
  Mn  Mn2  1  0.750  0.352  0.750  1.0
  O  O3  1  0.250  0.426  0.750  1.0
  O  O4  1  0.250  0.833  0.750  1.0
  O  O5  1  0.750  0.131  0.250  1.0
  O  O6  1  0.750  0.635  0.250  1.0
[/CIF]
.