The crystal structure described by MgMn4(FeO4)2 crystallizes in the triclinic P-1 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with six equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(2), one O(3), and one O(4) atom. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. In the third Mn site, Mn(3) 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 six equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form FeO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. In the second Fe site, Fe(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form FeO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(1), one Mn(2), one Mn(3), and one Fe(1) atom to form OMgMn3Fe trigonal bipyramids that share  a cornercorner with one O(2)MgMn3Fe square pyramid, corners with three equivalent O(3)Mn2Fe2 tetrahedra,  a cornercorner with one O(4)MgMn2Fe2 trigonal bipyramid, corners with four equivalent O(1)MgMn3Fe trigonal bipyramids, edges with three equivalent O(2)MgMn3Fe square pyramids,  an edgeedge with one O(3)Mn2Fe2 tetrahedra, and edges with three equivalent O(4)MgMn2Fe2 trigonal bipyramids. In the second O site, O(2) is bonded to one Mg(1), one Mn(1), one Mn(2), one Mn(3), and one Fe(2) atom to form OMgMn3Fe square pyramids that share corners with four equivalent O(2)MgMn3Fe square pyramids, corners with three equivalent O(3)Mn2Fe2 tetrahedra,  a cornercorner with one O(4)MgMn2Fe2 trigonal bipyramid,  a cornercorner with one O(1)MgMn3Fe trigonal bipyramid,  an edgeedge with one O(3)Mn2Fe2 tetrahedra, edges with three equivalent O(4)MgMn2Fe2 trigonal bipyramids, and edges with three equivalent O(1)MgMn3Fe trigonal bipyramids. In the third O site, O(3) is bonded to one Mn(1), one Mn(2), one Fe(1), and one Fe(2) atom to form distorted OMn2Fe2 tetrahedra that share corners with three equivalent O(2)MgMn3Fe square pyramids, corners with three equivalent O(3)Mn2Fe2 tetrahedra, corners with three equivalent O(4)MgMn2Fe2 trigonal bipyramids, corners with three equivalent O(1)MgMn3Fe trigonal bipyramids,  an edgeedge with one O(2)MgMn3Fe square pyramid,  an edgeedge with one O(4)MgMn2Fe2 trigonal bipyramid, and  an edgeedge with one O(1)MgMn3Fe trigonal bipyramid. In the fourth O site, O(4) is bonded to one Mg(1), one Mn(1), one Mn(3), one Fe(1), and one Fe(2) atom to form OMgMn2Fe2 trigonal bipyramids that share  a cornercorner with one O(2)MgMn3Fe square pyramid, corners with three equivalent O(3)Mn2Fe2 tetrahedra,  a cornercorner with one O(1)MgMn3Fe trigonal bipyramid, corners with four equivalent O(4)MgMn2Fe2 trigonal bipyramids, edges with three equivalent O(2)MgMn3Fe square pyramids,  an edgeedge with one O(3)Mn2Fe2 tetrahedra, and edges with three equivalent O(1)MgMn3Fe trigonal bipyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgMn4(FeO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.141
_cell_length_b   6.360
_cell_length_c   6.132
_cell_angle_alpha   63.154
_cell_angle_beta   58.688
_cell_angle_gamma   63.551
_symmetry_Int_Tables_number   1
_cell_volume   175.465
_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  0.125  0.625  0.125  1.0
  Mn  Mn1  1  0.978  0.089  0.957  1.0
  Mn  Mn2  1  0.272  0.161  0.293  1.0
  Mn  Mn3  1  0.125  0.625  0.625  1.0
  Mn  Mn4  1  0.625  0.125  0.625  1.0
  Fe  Fe5  1  0.625  0.625  0.125  1.0
  Fe  Fe6  1  0.625  0.625  0.625  1.0
  O  O7  1  0.349  0.408  0.381  1.0
  O  O8  1  0.382  0.387  0.882  1.0
  O  O9  1  0.392  0.799  0.422  1.0
  O  O10  1  0.381  0.856  0.873  1.0
  O  O11  1  0.869  0.394  0.377  1.0
  O  O12  1  0.858  0.451  0.828  1.0
  O  O13  1  0.868  0.863  0.368  1.0
  O  O14  1  0.901  0.842  0.869  1.0
[/CIF]
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The crystal structure described by MgMn4(FeO4)2 crystallizes in the triclinic P-1 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with six equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(2), one O(3), and one O(4) atom. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. In the third Mn site, Mn(3) 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 six equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form FeO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. In the second Fe site, Fe(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form FeO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(1), one Mn(2), one Mn(3), and one Fe(1) atom to form OMgMn3Fe trigonal bipyramids that share  a cornercorner with one O(2)MgMn3Fe square pyramid, corners with three equivalent O(3)Mn2Fe2 tetrahedra,  a cornercorner with one O(4)MgMn2Fe2 trigonal bipyramid, corners with four equivalent O(1)MgMn3Fe trigonal bipyramids, edges with three equivalent O(2)MgMn3Fe square pyramids,  an edgeedge with one O(3)Mn2Fe2 tetrahedra, and edges with three equivalent O(4)MgMn2Fe2 trigonal bipyramids. In the second O site, O(2) is bonded to one Mg(1), one Mn(1), one Mn(2), one Mn(3), and one Fe(2) atom to form OMgMn3Fe square pyramids that share corners with four equivalent O(2)MgMn3Fe square pyramids, corners with three equivalent O(3)Mn2Fe2 tetrahedra,  a cornercorner with one O(4)MgMn2Fe2 trigonal bipyramid,  a cornercorner with one O(1)MgMn3Fe trigonal bipyramid,  an edgeedge with one O(3)Mn2Fe2 tetrahedra, edges with three equivalent O(4)MgMn2Fe2 trigonal bipyramids, and edges with three equivalent O(1)MgMn3Fe trigonal bipyramids. In the third O site, O(3) is bonded to one Mn(1), one Mn(2), one Fe(1), and one Fe(2) atom to form distorted OMn2Fe2 tetrahedra that share corners with three equivalent O(2)MgMn3Fe square pyramids, corners with three equivalent O(3)Mn2Fe2 tetrahedra, corners with three equivalent O(4)MgMn2Fe2 trigonal bipyramids, corners with three equivalent O(1)MgMn3Fe trigonal bipyramids,  an edgeedge with one O(2)MgMn3Fe square pyramid,  an edgeedge with one O(4)MgMn2Fe2 trigonal bipyramid, and  an edgeedge with one O(1)MgMn3Fe trigonal bipyramid. In the fourth O site, O(4) is bonded to one Mg(1), one Mn(1), one Mn(3), one Fe(1), and one Fe(2) atom to form OMgMn2Fe2 trigonal bipyramids that share  a cornercorner with one O(2)MgMn3Fe square pyramid, corners with three equivalent O(3)Mn2Fe2 tetrahedra,  a cornercorner with one O(1)MgMn3Fe trigonal bipyramid, corners with four equivalent O(4)MgMn2Fe2 trigonal bipyramids, edges with three equivalent O(2)MgMn3Fe square pyramids,  an edgeedge with one O(3)Mn2Fe2 tetrahedra, and edges with three equivalent O(1)MgMn3Fe trigonal bipyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgMn4(FeO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.141
_cell_length_b   6.360
_cell_length_c   6.132
_cell_angle_alpha   63.154
_cell_angle_beta   58.688
_cell_angle_gamma   63.551
_symmetry_Int_Tables_number   1
_cell_volume   175.465
_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  0.125  0.625  0.125  1.0
  Mn  Mn1  1  0.978  0.089  0.957  1.0
  Mn  Mn2  1  0.272  0.161  0.293  1.0
  Mn  Mn3  1  0.125  0.625  0.625  1.0
  Mn  Mn4  1  0.625  0.125  0.625  1.0
  Fe  Fe5  1  0.625  0.625  0.125  1.0
  Fe  Fe6  1  0.625  0.625  0.625  1.0
  O  O7  1  0.349  0.408  0.381  1.0
  O  O8  1  0.382  0.387  0.882  1.0
  O  O9  1  0.392  0.799  0.422  1.0
  O  O10  1  0.381  0.856  0.873  1.0
  O  O11  1  0.869  0.394  0.377  1.0
  O  O12  1  0.858  0.451  0.828  1.0
  O  O13  1  0.868  0.863  0.368  1.0
  O  O14  1  0.901  0.842  0.869  1.0
[/CIF]
.