The material structure described by MgMn2O4 crystallizes in the monoclinic P2_1/c space group. Mg(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with three equivalent Mn(1)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Mn(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 43°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(3), one O(4), and two equivalent O(2) atoms to form distorted MnO5 trigonal bipyramids that share corners with three equivalent Mg(1)O6 octahedra, corners with two equivalent Mn(1)O5 trigonal bipyramids, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-56°. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to one O(2), one O(3), two equivalent O(1), and two equivalent O(4) atoms. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to two equivalent Mg(1), one Mn(1), and two equivalent Mn(2) atoms. In the second O site, O(2) is bonded to one Mg(1), one Mn(2), and two equivalent Mn(1) atoms to form distorted corner-sharing OMgMn3 trigonal pyramids. In the third O site, O(3) is bonded in a 4-coordinate geometry to two equivalent Mg(1), one Mn(1), and one Mn(2) atom. In the fourth O site, O(4) is bonded to one Mg(1), one Mn(1), and two equivalent Mn(2) atoms to form a mixture of edge and corner-sharing OMgMn3 trigonal pyramids. is represented by the CIF file [CIF]
data_MgMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.863
_cell_length_b   5.720
_cell_length_c   5.759
_cell_angle_alpha   61.163
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   313.475
_cell_formula_units_Z   4
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  0.114  0.161  0.957  1.0
  Mg  Mg1  1  0.886  0.839  0.043  1.0
  Mg  Mg2  1  0.386  0.161  0.457  1.0
  Mg  Mg3  1  0.614  0.839  0.543  1.0
  Mn  Mn4  1  0.143  0.430  0.405  1.0
  Mn  Mn5  1  0.121  0.878  0.506  1.0
  Mn  Mn6  1  0.879  0.122  0.494  1.0
  Mn  Mn7  1  0.857  0.570  0.595  1.0
  Mn  Mn8  1  0.379  0.878  0.006  1.0
  Mn  Mn9  1  0.357  0.430  0.905  1.0
  Mn  Mn10  1  0.643  0.570  0.095  1.0
  Mn  Mn11  1  0.621  0.122  0.994  1.0
  O  O12  1  0.209  0.071  0.661  1.0
  O  O13  1  0.191  0.525  0.682  1.0
  O  O14  1  0.809  0.475  0.318  1.0
  O  O15  1  0.791  0.929  0.339  1.0
  O  O16  1  0.309  0.525  0.182  1.0
  O  O17  1  0.291  0.071  0.161  1.0
  O  O18  1  0.709  0.929  0.839  1.0
  O  O19  1  0.691  0.475  0.818  1.0
  O  O20  1  0.055  0.772  0.244  1.0
  O  O21  1  0.053  0.229  0.266  1.0
  O  O22  1  0.947  0.771  0.734  1.0
  O  O23  1  0.945  0.228  0.756  1.0
  O  O24  1  0.553  0.771  0.234  1.0
  O  O25  1  0.555  0.228  0.256  1.0
  O  O26  1  0.445  0.772  0.744  1.0
  O  O27  1  0.447  0.229  0.766  1.0
[/CIF]
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The material structure described by MgMn2O4 crystallizes in the monoclinic P2_1/c space group. Mg(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with three equivalent Mn(1)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Mn(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 43°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(3), one O(4), and two equivalent O(2) atoms to form distorted MnO5 trigonal bipyramids that share corners with three equivalent Mg(1)O6 octahedra, corners with two equivalent Mn(1)O5 trigonal bipyramids, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-56°. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to one O(2), one O(3), two equivalent O(1), and two equivalent O(4) atoms. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to two equivalent Mg(1), one Mn(1), and two equivalent Mn(2) atoms. In the second O site, O(2) is bonded to one Mg(1), one Mn(2), and two equivalent Mn(1) atoms to form distorted corner-sharing OMgMn3 trigonal pyramids. In the third O site, O(3) is bonded in a 4-coordinate geometry to two equivalent Mg(1), one Mn(1), and one Mn(2) atom. In the fourth O site, O(4) is bonded to one Mg(1), one Mn(1), and two equivalent Mn(2) atoms to form a mixture of edge and corner-sharing OMgMn3 trigonal pyramids. is represented by the CIF file [CIF]
data_MgMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.863
_cell_length_b   5.720
_cell_length_c   5.759
_cell_angle_alpha   61.163
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   313.475
_cell_formula_units_Z   4
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  0.114  0.161  0.957  1.0
  Mg  Mg1  1  0.886  0.839  0.043  1.0
  Mg  Mg2  1  0.386  0.161  0.457  1.0
  Mg  Mg3  1  0.614  0.839  0.543  1.0
  Mn  Mn4  1  0.143  0.430  0.405  1.0
  Mn  Mn5  1  0.121  0.878  0.506  1.0
  Mn  Mn6  1  0.879  0.122  0.494  1.0
  Mn  Mn7  1  0.857  0.570  0.595  1.0
  Mn  Mn8  1  0.379  0.878  0.006  1.0
  Mn  Mn9  1  0.357  0.430  0.905  1.0
  Mn  Mn10  1  0.643  0.570  0.095  1.0
  Mn  Mn11  1  0.621  0.122  0.994  1.0
  O  O12  1  0.209  0.071  0.661  1.0
  O  O13  1  0.191  0.525  0.682  1.0
  O  O14  1  0.809  0.475  0.318  1.0
  O  O15  1  0.791  0.929  0.339  1.0
  O  O16  1  0.309  0.525  0.182  1.0
  O  O17  1  0.291  0.071  0.161  1.0
  O  O18  1  0.709  0.929  0.839  1.0
  O  O19  1  0.691  0.475  0.818  1.0
  O  O20  1  0.055  0.772  0.244  1.0
  O  O21  1  0.053  0.229  0.266  1.0
  O  O22  1  0.947  0.771  0.734  1.0
  O  O23  1  0.945  0.228  0.756  1.0
  O  O24  1  0.553  0.771  0.234  1.0
  O  O25  1  0.555  0.228  0.256  1.0
  O  O26  1  0.445  0.772  0.744  1.0
  O  O27  1  0.447  0.229  0.766  1.0
[/CIF]
.