The material described by MgMn2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(13), and two equivalent O(3) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with three equivalent Mg(3)O6 octahedra, and corners with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-60°. In the second Mg site, Mg(2) is bonded to one O(2), one O(5), and two equivalent O(7) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with three equivalent Mn(4)O6 octahedra, and corners with four equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. In the third Mg site, Mg(3) is bonded to one O(1), one O(18), two equivalent O(16), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Mn(9)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. In the fourth Mg site, Mg(4) is bonded to one O(11), one O(8), and two equivalent O(14) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(5)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, corners with three equivalent Mn(7)O6 octahedra, and corners with four equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-60°. In the fifth Mg site, Mg(5) is bonded to one O(12), one O(9), and two equivalent O(4) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(5)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Mn(4)O6 octahedra, and corners with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-60°. In the sixth Mg site, Mg(6) is bonded to one O(15), one O(17), and two equivalent O(10) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with three equivalent Mn(7)O6 octahedra, and corners with four equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. There are nine inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(9)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mg(5)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(2), one O(6), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(9)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mg(5)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(15), one O(5), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one Mg(5)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to one O(5), one O(9), two equivalent O(4), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent Mg(5)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(12), one O(8), two equivalent O(10), and two equivalent O(7) atoms to form MnO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one Mg(5)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, and edges with four equivalent Mn(3)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(11), one O(13), one O(14), one O(16), one O(17), and one O(18) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent Mn(9)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to one O(11), one O(15), two equivalent O(10), and two equivalent O(14) atoms to form MnO6 octahedra that share corners with three equivalent Mg(4)O4 tetrahedra, corners with three equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. In the eighth Mn site, Mn(8) is bonded to one O(13), one O(17), two equivalent O(14), and two equivalent O(16) atoms to form MnO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent Mn(9)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, and edges with four equivalent Mn(6)O6 octahedra. In the ninth Mn site, Mn(9) is bonded to one O(18), one O(6), and two equivalent O(16) atoms to form MnO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, corners with three equivalent Mg(3)O6 octahedra, and corners with four equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-62°. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(3), and two equivalent Mn(1) atoms. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2), one Mn(2), and two equivalent Mn(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(3), one Mn(1), and one Mn(2) atom. In the fourth O site, O(4) is bonded to one Mg(5), one Mn(1), one Mn(2), and one Mn(4) atom to form distorted OMgMn3 trigonal pyramids that share  a cornercorner with one O(12)MgMn3 trigonal pyramid,  a cornercorner with one O(4)MgMn3 trigonal pyramid,  a cornercorner with one O(5)MgMn3 trigonal pyramid,  a cornercorner with one O(9)MgMn3 trigonal pyramid, corners with two equivalent O(7)MgMn3 trigonal pyramids,  an edgeedge with one O(4)MgMn3 trigonal pyramid,  an edgeedge with one O(9)MgMn3 trigonal pyramid, and  an edgeedge with one O(6)Mn4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Mg(2), one Mn(4), and two equivalent Mn(3) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the sixth O site, O(6) is bonded to one Mn(2), one Mn(9), and two equivalent Mn(1) atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the seventh O site, O(7) is bonded to one Mg(2), one Mn(3), one Mn(4), and one Mn(5) atom to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Mg(4), one Mn(5), and two equivalent Mn(3) atoms. In the ninth O site, O(9) is bonded to one Mg(5), one Mn(4), and two equivalent Mn(1) atoms to form distorted OMgMn3 trigonal pyramids that share  a cornercorner with one O(12)MgMn3 trigonal pyramid,  a cornercorner with one O(5)MgMn3 trigonal pyramid, corners with two equivalent O(4)MgMn3 trigonal pyramids, corners with two equivalent O(7)MgMn3 trigonal pyramids,  an edgeedge with one O(6)Mn4 trigonal pyramid, and edges with two equivalent O(4)MgMn3 trigonal pyramids. In the tenth O site, O(10) is bonded to one Mg(6), one Mn(3), one Mn(5), and one Mn(7) atom to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Mg(4), one Mn(7), and two equivalent Mn(6) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the twelfth O site, O(12) is bonded to one Mg(5), one Mn(5), and two equivalent Mn(3) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the thirteenth O site, O(13) is bonded to one Mg(1), one Mn(8), and two equivalent Mn(6) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one Mg(4), one Mn(6), one Mn(7), and one Mn(8) atom to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the fifteenth O site, O(15) is bonded to one Mg(6), one Mn(7), and two equivalent Mn(3) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Mg(3), one Mn(6), one Mn(8), and one Mn(9) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Mg(6), one Mn(8), and two equivalent Mn(6) atoms. In the eighteenth O site, O(18) is bonded to one Mg(3), one Mn(9), and two equivalent Mn(6) atoms to form distorted OMgMn3 trigonal pyramids that share  a cornercorner with one O(6)Mn4 trigonal pyramid, corners with two equivalent O(11)MgMn3 trigonal pyramids, corners with two equivalent O(13)MgMn3 trigonal pyramids, and corners with two equivalent O(14)MgMn3 trigonal pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.221
_cell_length_b   6.221
_cell_length_c   14.908
_cell_angle_alpha   84.915
_cell_angle_beta   84.915
_cell_angle_gamma   56.255
_symmetry_Int_Tables_number   1
_cell_volume   477.311
_cell_formula_units_Z   6
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  0.168  0.168  0.954  1.0
  Mg  Mg1  1  0.501  0.501  0.625  1.0
  Mg  Mg2  1  0.501  0.501  0.998  1.0
  Mg  Mg3  1  0.830  0.830  0.290  1.0
  Mg  Mg4  1  0.168  0.168  0.711  1.0
  Mg  Mg5  1  0.500  0.500  0.376  1.0
  Mn  Mn6  1  0.172  0.671  0.834  1.0
  Mn  Mn7  1  0.668  0.668  0.833  1.0
  Mn  Mn8  1  0.500  0.000  0.500  1.0
  Mn  Mn9  1  0.671  0.172  0.834  1.0
  Mn  Mn10  1  0.835  0.835  0.667  1.0
  Mn  Mn11  1  0.000  0.000  0.500  1.0
  Mn  Mn12  1  0.829  0.328  0.165  1.0
  Mn  Mn13  1  0.000  0.500  0.500  1.0
  Mn  Mn14  1  0.328  0.829  0.165  1.0
  Mn  Mn15  1  0.164  0.164  0.333  1.0
  Mn  Mn16  1  0.331  0.331  0.168  1.0
  Mn  Mn17  1  0.833  0.833  0.045  1.0
  O  O18  1  0.350  0.350  0.912  1.0
  O  O19  1  0.497  0.497  0.759  1.0
  O  O20  1  0.353  0.815  0.909  1.0
  O  O21  1  0.815  0.353  0.909  1.0
  O  O22  1  0.531  0.981  0.751  1.0
  O  O23  1  0.678  0.678  0.576  1.0
  O  O24  1  0.981  0.531  0.751  1.0
  O  O25  1  0.839  0.839  0.906  1.0
  O  O26  1  0.690  0.140  0.582  1.0
  O  O27  1  0.826  0.826  0.425  1.0
  O  O28  1  0.990  0.990  0.757  1.0
  O  O29  1  0.140  0.690  0.582  1.0
  O  O30  1  0.860  0.309  0.418  1.0
  O  O31  1  0.009  0.009  0.243  1.0
  O  O32  1  0.309  0.860  0.418  1.0
  O  O33  1  0.174  0.174  0.575  1.0
  O  O34  1  0.159  0.159  0.092  1.0
  O  O35  1  0.016  0.468  0.248  1.0
  O  O36  1  0.323  0.323  0.424  1.0
  O  O37  1  0.468  0.016  0.248  1.0
  O  O38  1  0.191  0.647  0.092  1.0
  O  O39  1  0.505  0.505  0.241  1.0
  O  O40  1  0.647  0.191  0.092  1.0
  O  O41  1  0.649  0.649  0.089  1.0
[/CIF]
.
The material described by MgMn2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(13), and two equivalent O(3) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with three equivalent Mg(3)O6 octahedra, and corners with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-60°. In the second Mg site, Mg(2) is bonded to one O(2), one O(5), and two equivalent O(7) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with three equivalent Mn(4)O6 octahedra, and corners with four equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. In the third Mg site, Mg(3) is bonded to one O(1), one O(18), two equivalent O(16), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Mn(9)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. In the fourth Mg site, Mg(4) is bonded to one O(11), one O(8), and two equivalent O(14) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(5)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, corners with three equivalent Mn(7)O6 octahedra, and corners with four equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-60°. In the fifth Mg site, Mg(5) is bonded to one O(12), one O(9), and two equivalent O(4) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(5)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Mn(4)O6 octahedra, and corners with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-60°. In the sixth Mg site, Mg(6) is bonded to one O(15), one O(17), and two equivalent O(10) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with three equivalent Mn(7)O6 octahedra, and corners with four equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. There are nine inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(9)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mg(5)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(2), one O(6), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(9)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mg(5)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(15), one O(5), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one Mg(5)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to one O(5), one O(9), two equivalent O(4), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent Mg(5)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(12), one O(8), two equivalent O(10), and two equivalent O(7) atoms to form MnO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one Mg(5)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, and edges with four equivalent Mn(3)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(11), one O(13), one O(14), one O(16), one O(17), and one O(18) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent Mn(9)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to one O(11), one O(15), two equivalent O(10), and two equivalent O(14) atoms to form MnO6 octahedra that share corners with three equivalent Mg(4)O4 tetrahedra, corners with three equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. In the eighth Mn site, Mn(8) is bonded to one O(13), one O(17), two equivalent O(14), and two equivalent O(16) atoms to form MnO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent Mn(9)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, and edges with four equivalent Mn(6)O6 octahedra. In the ninth Mn site, Mn(9) is bonded to one O(18), one O(6), and two equivalent O(16) atoms to form MnO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, corners with three equivalent Mg(3)O6 octahedra, and corners with four equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-62°. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(3), and two equivalent Mn(1) atoms. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2), one Mn(2), and two equivalent Mn(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(3), one Mn(1), and one Mn(2) atom. In the fourth O site, O(4) is bonded to one Mg(5), one Mn(1), one Mn(2), and one Mn(4) atom to form distorted OMgMn3 trigonal pyramids that share  a cornercorner with one O(12)MgMn3 trigonal pyramid,  a cornercorner with one O(4)MgMn3 trigonal pyramid,  a cornercorner with one O(5)MgMn3 trigonal pyramid,  a cornercorner with one O(9)MgMn3 trigonal pyramid, corners with two equivalent O(7)MgMn3 trigonal pyramids,  an edgeedge with one O(4)MgMn3 trigonal pyramid,  an edgeedge with one O(9)MgMn3 trigonal pyramid, and  an edgeedge with one O(6)Mn4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Mg(2), one Mn(4), and two equivalent Mn(3) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the sixth O site, O(6) is bonded to one Mn(2), one Mn(9), and two equivalent Mn(1) atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the seventh O site, O(7) is bonded to one Mg(2), one Mn(3), one Mn(4), and one Mn(5) atom to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Mg(4), one Mn(5), and two equivalent Mn(3) atoms. In the ninth O site, O(9) is bonded to one Mg(5), one Mn(4), and two equivalent Mn(1) atoms to form distorted OMgMn3 trigonal pyramids that share  a cornercorner with one O(12)MgMn3 trigonal pyramid,  a cornercorner with one O(5)MgMn3 trigonal pyramid, corners with two equivalent O(4)MgMn3 trigonal pyramids, corners with two equivalent O(7)MgMn3 trigonal pyramids,  an edgeedge with one O(6)Mn4 trigonal pyramid, and edges with two equivalent O(4)MgMn3 trigonal pyramids. In the tenth O site, O(10) is bonded to one Mg(6), one Mn(3), one Mn(5), and one Mn(7) atom to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Mg(4), one Mn(7), and two equivalent Mn(6) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the twelfth O site, O(12) is bonded to one Mg(5), one Mn(5), and two equivalent Mn(3) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the thirteenth O site, O(13) is bonded to one Mg(1), one Mn(8), and two equivalent Mn(6) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one Mg(4), one Mn(6), one Mn(7), and one Mn(8) atom to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the fifteenth O site, O(15) is bonded to one Mg(6), one Mn(7), and two equivalent Mn(3) atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Mg(3), one Mn(6), one Mn(8), and one Mn(9) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Mg(6), one Mn(8), and two equivalent Mn(6) atoms. In the eighteenth O site, O(18) is bonded to one Mg(3), one Mn(9), and two equivalent Mn(6) atoms to form distorted OMgMn3 trigonal pyramids that share  a cornercorner with one O(6)Mn4 trigonal pyramid, corners with two equivalent O(11)MgMn3 trigonal pyramids, corners with two equivalent O(13)MgMn3 trigonal pyramids, and corners with two equivalent O(14)MgMn3 trigonal pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.221
_cell_length_b   6.221
_cell_length_c   14.908
_cell_angle_alpha   84.915
_cell_angle_beta   84.915
_cell_angle_gamma   56.255
_symmetry_Int_Tables_number   1
_cell_volume   477.311
_cell_formula_units_Z   6
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  0.168  0.168  0.954  1.0
  Mg  Mg1  1  0.501  0.501  0.625  1.0
  Mg  Mg2  1  0.501  0.501  0.998  1.0
  Mg  Mg3  1  0.830  0.830  0.290  1.0
  Mg  Mg4  1  0.168  0.168  0.711  1.0
  Mg  Mg5  1  0.500  0.500  0.376  1.0
  Mn  Mn6  1  0.172  0.671  0.834  1.0
  Mn  Mn7  1  0.668  0.668  0.833  1.0
  Mn  Mn8  1  0.500  0.000  0.500  1.0
  Mn  Mn9  1  0.671  0.172  0.834  1.0
  Mn  Mn10  1  0.835  0.835  0.667  1.0
  Mn  Mn11  1  0.000  0.000  0.500  1.0
  Mn  Mn12  1  0.829  0.328  0.165  1.0
  Mn  Mn13  1  0.000  0.500  0.500  1.0
  Mn  Mn14  1  0.328  0.829  0.165  1.0
  Mn  Mn15  1  0.164  0.164  0.333  1.0
  Mn  Mn16  1  0.331  0.331  0.168  1.0
  Mn  Mn17  1  0.833  0.833  0.045  1.0
  O  O18  1  0.350  0.350  0.912  1.0
  O  O19  1  0.497  0.497  0.759  1.0
  O  O20  1  0.353  0.815  0.909  1.0
  O  O21  1  0.815  0.353  0.909  1.0
  O  O22  1  0.531  0.981  0.751  1.0
  O  O23  1  0.678  0.678  0.576  1.0
  O  O24  1  0.981  0.531  0.751  1.0
  O  O25  1  0.839  0.839  0.906  1.0
  O  O26  1  0.690  0.140  0.582  1.0
  O  O27  1  0.826  0.826  0.425  1.0
  O  O28  1  0.990  0.990  0.757  1.0
  O  O29  1  0.140  0.690  0.582  1.0
  O  O30  1  0.860  0.309  0.418  1.0
  O  O31  1  0.009  0.009  0.243  1.0
  O  O32  1  0.309  0.860  0.418  1.0
  O  O33  1  0.174  0.174  0.575  1.0
  O  O34  1  0.159  0.159  0.092  1.0
  O  O35  1  0.016  0.468  0.248  1.0
  O  O36  1  0.323  0.323  0.424  1.0
  O  O37  1  0.468  0.016  0.248  1.0
  O  O38  1  0.191  0.647  0.092  1.0
  O  O39  1  0.505  0.505  0.241  1.0
  O  O40  1  0.647  0.191  0.092  1.0
  O  O41  1  0.649  0.649  0.089  1.0
[/CIF]
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