The compound described by MgMn2O4 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(12), one O(13), one O(16), and one O(4) atom to form MgO4 tetrahedra that share  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, corners with two equivalent Mg(4)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, and corners with three equivalent Mn(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. In the second Mg site, Mg(2) is bonded to one O(11), one O(14), one O(15), and one O(3) atom to form MgO4 tetrahedra that share  a cornercorner with one Mg(4)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, and corners with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-61°. In the third Mg site, Mg(3) is bonded to one O(11), one O(13), one O(15), one O(5), one O(7), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mn(1)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 Mg site, Mg(4) is bonded to one O(10), one O(12), one O(14), one O(16), one O(6), and one O(8) atom to form MgO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra,  an edgeedge with one Mn(4)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. There are eight inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(5), one O(8), and one O(9) atom to form MnO4 tetrahedra that share  a cornercorner with one Mg(4)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, and corners with three equivalent Mn(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-65°. In the second Mn site, Mn(2) is bonded to one O(10), one O(2), one O(6), and one O(7) atom to form MnO4 tetrahedra that share  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, corners with two equivalent Mg(4)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, and corners with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-64°. In the third Mn site, Mn(3) is bonded to one O(1), one O(13), one O(15), one O(3), one O(5), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mn(1)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(11), one O(15), one O(2), one O(3), and one O(6) atom to form MnO6 octahedra that share corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent Mn(2)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and  an edgeedge with one Mn(8)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(1), one O(11), one O(13), one O(3), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mn(1)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(14), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to one O(1), one O(12), one O(16), one O(4), one O(5), and one O(9) atom to form MnO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Mn(1)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and  an edgeedge with one Mn(8)O6 octahedra. In the eighth Mn site, Mn(8) is bonded to one O(10), one O(12), one O(14), one O(2), one O(4), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Mn(3), one Mn(5), and one Mn(7) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Mn(4), one Mn(6), and one Mn(8) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mn(3), one Mn(4), and one Mn(5) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(6), one Mn(7), and one Mn(8) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Mg(3), one Mn(1), one Mn(3), and one Mn(7) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mg(4), one Mn(2), one Mn(4), and one Mn(6) atom. In the seventh O site, O(7) is bonded to one Mg(3), one Mn(2), one Mn(3), and one Mn(5) atom to form distorted OMgMn3 tetrahedra that share  a cornercorner with one O(10)MgMn3 tetrahedra, corners with two equivalent O(15)Mg2Mn2 trigonal pyramids, and  an edgeedge with one O(9)MgMn3 tetrahedra. In the eighth O site, O(8) is bonded to one Mg(4), one Mn(1), one Mn(6), and one Mn(8) atom to form distorted OMgMn3 tetrahedra that share  a cornercorner with one O(9)MgMn3 tetrahedra, corners with two equivalent O(12)Mg2Mn2 trigonal pyramids, corners with two equivalent O(16)Mg2Mn2 trigonal pyramids, corners with three equivalent O(14)Mg2Mn2 trigonal pyramids, and  an edgeedge with one O(10)MgMn3 tetrahedra. In the ninth O site, O(9) is bonded to one Mg(3), one Mn(1), one Mn(5), and one Mn(7) atom to form distorted OMgMn3 tetrahedra that share  a cornercorner with one O(8)MgMn3 tetrahedra,  a cornercorner with one O(12)Mg2Mn2 trigonal pyramid,  a cornercorner with one O(15)Mg2Mn2 trigonal pyramid,  a cornercorner with one O(16)Mg2Mn2 trigonal pyramid, and  an edgeedge with one O(7)MgMn3 tetrahedra. In the tenth O site, O(10) is bonded to one Mg(4), one Mn(2), one Mn(4), and one Mn(8) atom to form distorted OMgMn3 tetrahedra that share  a cornercorner with one O(7)MgMn3 tetrahedra,  a cornercorner with one O(15)Mg2Mn2 trigonal pyramid,  a cornercorner with one O(16)Mg2Mn2 trigonal pyramid, corners with two equivalent O(12)Mg2Mn2 trigonal pyramids, corners with two equivalent O(14)Mg2Mn2 trigonal pyramids, and  an edgeedge with one O(8)MgMn3 tetrahedra. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2), one Mg(3), one Mn(4), and one Mn(5) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Mg(4), one Mn(7), and one Mn(8) atom to form distorted OMg2Mn2 trigonal pyramids that share  a cornercorner with one O(9)MgMn3 tetrahedra, corners with two equivalent O(10)MgMn3 tetrahedra, corners with two equivalent O(8)MgMn3 tetrahedra,  a cornercorner with one O(16)Mg2Mn2 trigonal pyramid,  an edgeedge with one O(14)Mg2Mn2 trigonal pyramid, and  an edgeedge with one O(16)Mg2Mn2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Mg(3), one Mn(3), and one Mn(5) atom. In the fourteenth O site, O(14) is bonded to one Mg(2), one Mg(4), one Mn(6), and one Mn(8) atom to form distorted OMg2Mn2 trigonal pyramids that share corners with two equivalent O(10)MgMn3 tetrahedra, corners with three equivalent O(8)MgMn3 tetrahedra,  a cornercorner with one O(15)Mg2Mn2 trigonal pyramid,  an edgeedge with one O(12)Mg2Mn2 trigonal pyramid, and  an edgeedge with one O(16)Mg2Mn2 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Mg(2), one Mg(3), one Mn(3), and one Mn(4) atom to form distorted OMg2Mn2 trigonal pyramids that share  a cornercorner with one O(10)MgMn3 tetrahedra,  a cornercorner with one O(9)MgMn3 tetrahedra, corners with two equivalent O(7)MgMn3 tetrahedra, and  a cornercorner with one O(14)Mg2Mn2 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Mg(1), one Mg(4), one Mn(6), and one Mn(7) atom to form distorted OMg2Mn2 trigonal pyramids that share  a cornercorner with one O(10)MgMn3 tetrahedra,  a cornercorner with one O(9)MgMn3 tetrahedra, corners with two equivalent O(8)MgMn3 tetrahedra,  a cornercorner with one O(12)Mg2Mn2 trigonal pyramid,  an edgeedge with one O(12)Mg2Mn2 trigonal pyramid, and  an edgeedge with one O(14)Mg2Mn2 trigonal pyramid. is represented by the CIF card [CIF]
data_MgMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.012
_cell_length_b   6.056
_cell_length_c   10.468
_cell_angle_alpha   89.982
_cell_angle_beta   106.479
_cell_angle_gamma   119.414
_symmetry_Int_Tables_number   1
_cell_volume   313.907
_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  0.008  0.518  0.507  1.0
  Mg  Mg1  1  0.991  0.018  0.005  1.0
  Mg  Mg2  1  0.372  0.443  0.813  1.0
  Mg  Mg3  1  0.379  0.935  0.313  1.0
  Mn  Mn4  1  0.756  0.866  0.621  1.0
  Mn  Mn5  1  0.750  0.352  0.119  1.0
  Mn  Mn6  1  0.368  0.939  0.813  1.0
  Mn  Mn7  1  0.368  0.686  0.061  1.0
  Mn  Mn8  1  0.875  0.446  0.813  1.0
  Mn  Mn9  1  0.380  0.433  0.314  1.0
  Mn  Mn10  1  0.382  0.192  0.562  1.0
  Mn  Mn11  1  0.877  0.929  0.312  1.0
  O  O12  1  0.602  0.072  0.670  1.0
  O  O13  1  0.602  0.533  0.201  1.0
  O  O14  1  0.118  0.818  0.938  1.0
  O  O15  1  0.168  0.327  0.442  1.0
  O  O16  1  0.168  0.087  0.682  1.0
  O  O17  1  0.169  0.565  0.198  1.0
  O  O18  1  0.609  0.291  0.911  1.0
  O  O19  1  0.617  0.785  0.414  1.0
  O  O20  1  0.612  0.518  0.687  1.0
  O  O21  1  0.620  0.010  0.193  1.0
  O  O22  1  0.124  0.354  0.934  1.0
  O  O23  1  0.141  0.858  0.438  1.0
  O  O24  1  0.133  0.589  0.709  1.0
  O  O25  1  0.137  0.081  0.211  1.0
  O  O26  1  0.583  0.803  0.937  1.0
  O  O27  1  0.593  0.303  0.435  1.0
[/CIF]
.
The compound described by MgMn2O4 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(12), one O(13), one O(16), and one O(4) atom to form MgO4 tetrahedra that share  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, corners with two equivalent Mg(4)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, and corners with three equivalent Mn(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. In the second Mg site, Mg(2) is bonded to one O(11), one O(14), one O(15), and one O(3) atom to form MgO4 tetrahedra that share  a cornercorner with one Mg(4)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, and corners with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-61°. In the third Mg site, Mg(3) is bonded to one O(11), one O(13), one O(15), one O(5), one O(7), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mn(1)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 Mg site, Mg(4) is bonded to one O(10), one O(12), one O(14), one O(16), one O(6), and one O(8) atom to form MgO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra,  an edgeedge with one Mn(4)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. There are eight inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(5), one O(8), and one O(9) atom to form MnO4 tetrahedra that share  a cornercorner with one Mg(4)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, and corners with three equivalent Mn(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-65°. In the second Mn site, Mn(2) is bonded to one O(10), one O(2), one O(6), and one O(7) atom to form MnO4 tetrahedra that share  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, corners with two equivalent Mg(4)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, and corners with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-64°. In the third Mn site, Mn(3) is bonded to one O(1), one O(13), one O(15), one O(3), one O(5), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mn(1)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(11), one O(15), one O(2), one O(3), and one O(6) atom to form MnO6 octahedra that share corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent Mn(2)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and  an edgeedge with one Mn(8)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(1), one O(11), one O(13), one O(3), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mn(1)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(14), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to one O(1), one O(12), one O(16), one O(4), one O(5), and one O(9) atom to form MnO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Mn(1)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and  an edgeedge with one Mn(8)O6 octahedra. In the eighth Mn site, Mn(8) is bonded to one O(10), one O(12), one O(14), one O(2), one O(4), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Mn(3), one Mn(5), and one Mn(7) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mn(2), one Mn(4), one Mn(6), and one Mn(8) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mn(3), one Mn(4), and one Mn(5) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(6), one Mn(7), and one Mn(8) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Mg(3), one Mn(1), one Mn(3), and one Mn(7) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mg(4), one Mn(2), one Mn(4), and one Mn(6) atom. In the seventh O site, O(7) is bonded to one Mg(3), one Mn(2), one Mn(3), and one Mn(5) atom to form distorted OMgMn3 tetrahedra that share  a cornercorner with one O(10)MgMn3 tetrahedra, corners with two equivalent O(15)Mg2Mn2 trigonal pyramids, and  an edgeedge with one O(9)MgMn3 tetrahedra. In the eighth O site, O(8) is bonded to one Mg(4), one Mn(1), one Mn(6), and one Mn(8) atom to form distorted OMgMn3 tetrahedra that share  a cornercorner with one O(9)MgMn3 tetrahedra, corners with two equivalent O(12)Mg2Mn2 trigonal pyramids, corners with two equivalent O(16)Mg2Mn2 trigonal pyramids, corners with three equivalent O(14)Mg2Mn2 trigonal pyramids, and  an edgeedge with one O(10)MgMn3 tetrahedra. In the ninth O site, O(9) is bonded to one Mg(3), one Mn(1), one Mn(5), and one Mn(7) atom to form distorted OMgMn3 tetrahedra that share  a cornercorner with one O(8)MgMn3 tetrahedra,  a cornercorner with one O(12)Mg2Mn2 trigonal pyramid,  a cornercorner with one O(15)Mg2Mn2 trigonal pyramid,  a cornercorner with one O(16)Mg2Mn2 trigonal pyramid, and  an edgeedge with one O(7)MgMn3 tetrahedra. In the tenth O site, O(10) is bonded to one Mg(4), one Mn(2), one Mn(4), and one Mn(8) atom to form distorted OMgMn3 tetrahedra that share  a cornercorner with one O(7)MgMn3 tetrahedra,  a cornercorner with one O(15)Mg2Mn2 trigonal pyramid,  a cornercorner with one O(16)Mg2Mn2 trigonal pyramid, corners with two equivalent O(12)Mg2Mn2 trigonal pyramids, corners with two equivalent O(14)Mg2Mn2 trigonal pyramids, and  an edgeedge with one O(8)MgMn3 tetrahedra. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2), one Mg(3), one Mn(4), and one Mn(5) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Mg(4), one Mn(7), and one Mn(8) atom to form distorted OMg2Mn2 trigonal pyramids that share  a cornercorner with one O(9)MgMn3 tetrahedra, corners with two equivalent O(10)MgMn3 tetrahedra, corners with two equivalent O(8)MgMn3 tetrahedra,  a cornercorner with one O(16)Mg2Mn2 trigonal pyramid,  an edgeedge with one O(14)Mg2Mn2 trigonal pyramid, and  an edgeedge with one O(16)Mg2Mn2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Mg(3), one Mn(3), and one Mn(5) atom. In the fourteenth O site, O(14) is bonded to one Mg(2), one Mg(4), one Mn(6), and one Mn(8) atom to form distorted OMg2Mn2 trigonal pyramids that share corners with two equivalent O(10)MgMn3 tetrahedra, corners with three equivalent O(8)MgMn3 tetrahedra,  a cornercorner with one O(15)Mg2Mn2 trigonal pyramid,  an edgeedge with one O(12)Mg2Mn2 trigonal pyramid, and  an edgeedge with one O(16)Mg2Mn2 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Mg(2), one Mg(3), one Mn(3), and one Mn(4) atom to form distorted OMg2Mn2 trigonal pyramids that share  a cornercorner with one O(10)MgMn3 tetrahedra,  a cornercorner with one O(9)MgMn3 tetrahedra, corners with two equivalent O(7)MgMn3 tetrahedra, and  a cornercorner with one O(14)Mg2Mn2 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Mg(1), one Mg(4), one Mn(6), and one Mn(7) atom to form distorted OMg2Mn2 trigonal pyramids that share  a cornercorner with one O(10)MgMn3 tetrahedra,  a cornercorner with one O(9)MgMn3 tetrahedra, corners with two equivalent O(8)MgMn3 tetrahedra,  a cornercorner with one O(12)Mg2Mn2 trigonal pyramid,  an edgeedge with one O(12)Mg2Mn2 trigonal pyramid, and  an edgeedge with one O(14)Mg2Mn2 trigonal pyramid. is represented by the CIF card [CIF]
data_MgMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.012
_cell_length_b   6.056
_cell_length_c   10.468
_cell_angle_alpha   89.982
_cell_angle_beta   106.479
_cell_angle_gamma   119.414
_symmetry_Int_Tables_number   1
_cell_volume   313.907
_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  0.008  0.518  0.507  1.0
  Mg  Mg1  1  0.991  0.018  0.005  1.0
  Mg  Mg2  1  0.372  0.443  0.813  1.0
  Mg  Mg3  1  0.379  0.935  0.313  1.0
  Mn  Mn4  1  0.756  0.866  0.621  1.0
  Mn  Mn5  1  0.750  0.352  0.119  1.0
  Mn  Mn6  1  0.368  0.939  0.813  1.0
  Mn  Mn7  1  0.368  0.686  0.061  1.0
  Mn  Mn8  1  0.875  0.446  0.813  1.0
  Mn  Mn9  1  0.380  0.433  0.314  1.0
  Mn  Mn10  1  0.382  0.192  0.562  1.0
  Mn  Mn11  1  0.877  0.929  0.312  1.0
  O  O12  1  0.602  0.072  0.670  1.0
  O  O13  1  0.602  0.533  0.201  1.0
  O  O14  1  0.118  0.818  0.938  1.0
  O  O15  1  0.168  0.327  0.442  1.0
  O  O16  1  0.168  0.087  0.682  1.0
  O  O17  1  0.169  0.565  0.198  1.0
  O  O18  1  0.609  0.291  0.911  1.0
  O  O19  1  0.617  0.785  0.414  1.0
  O  O20  1  0.612  0.518  0.687  1.0
  O  O21  1  0.620  0.010  0.193  1.0
  O  O22  1  0.124  0.354  0.934  1.0
  O  O23  1  0.141  0.858  0.438  1.0
  O  O24  1  0.133  0.589  0.709  1.0
  O  O25  1  0.137  0.081  0.211  1.0
  O  O26  1  0.583  0.803  0.937  1.0
  O  O27  1  0.593  0.303  0.435  1.0
[/CIF]
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