The structure described by MgTi2(FeO2)4 crystallizes in the monoclinic C2/m space group. Mg(1) is bonded to two equivalent O(2) and four equivalent O(1) atoms to form MgO6 octahedra that share corners with six equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(2) and four equivalent O(1) atoms to form TiO6 octahedra that share corners with six equivalent Mg(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the second Ti site, Ti(2) is bonded to two equivalent O(3) and four equivalent O(1) atoms to form TiO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a distorted rectangular see-saw-like geometry to one O(2), one O(3), and two equivalent O(1) atoms. In the second Fe site, Fe(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form FeO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Ti(1), one Ti(2), one Fe(1), and one Fe(2) atom to form OMgTi2Fe2 square pyramids that share corners with five equivalent O(1)MgTi2Fe2 square pyramids, corners with three equivalent O(3)TiFe3 tetrahedra,  a cornercorner with one O(2)MgTiFe3 trigonal bipyramid, edges with three equivalent O(1)MgTi2Fe2 square pyramids,  an edgeedge with one O(3)TiFe3 tetrahedra, and edges with three equivalent O(2)MgTiFe3 trigonal bipyramids. In the second O site, O(2) is bonded to one Mg(1), one Ti(1), one Fe(1), and two equivalent Fe(2) atoms to form OMgTiFe3 trigonal bipyramids that share corners with two equivalent O(1)MgTi2Fe2 square pyramids, corners with three equivalent O(3)TiFe3 tetrahedra, corners with four equivalent O(2)MgTiFe3 trigonal bipyramids, edges with six equivalent O(1)MgTi2Fe2 square pyramids, and  an edgeedge with one O(3)TiFe3 tetrahedra. In the third O site, O(3) is bonded to one Ti(2), one Fe(1), and two equivalent Fe(2) atoms to form OTiFe3 tetrahedra that share corners with six equivalent O(1)MgTi2Fe2 square pyramids, corners with three equivalent O(3)TiFe3 tetrahedra, corners with three equivalent O(2)MgTiFe3 trigonal bipyramids, edges with two equivalent O(1)MgTi2Fe2 square pyramids, and  an edgeedge with one O(2)MgTiFe3 trigonal bipyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgTi2(FeO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.346
_cell_length_b   6.058
_cell_length_c   6.081
_cell_angle_alpha   59.873
_cell_angle_beta   61.371
_cell_angle_gamma   62.561
_symmetry_Int_Tables_number   1
_cell_volume   169.818
_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  0.500  0.000  0.000  1.0
  Ti  Ti1  1  0.000  0.500  0.500  1.0
  Ti  Ti2  1  0.500  0.000  0.500  1.0
  Fe  Fe3  1  0.025  0.097  0.189  1.0
  Fe  Fe4  1  0.500  0.500  0.000  1.0
  Fe  Fe5  1  0.500  0.500  0.500  1.0
  Fe  Fe6  1  0.975  0.903  0.811  1.0
  O  O7  1  0.263  0.214  0.268  1.0
  O  O8  1  0.263  0.214  0.755  1.0
  O  O9  1  0.248  0.728  0.262  1.0
  O  O10  1  0.677  0.279  0.272  1.0
  O  O11  1  0.323  0.721  0.728  1.0
  O  O12  1  0.752  0.272  0.738  1.0
  O  O13  1  0.737  0.786  0.245  1.0
  O  O14  1  0.737  0.786  0.732  1.0
[/CIF]
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The structure described by MgTi2(FeO2)4 crystallizes in the monoclinic C2/m space group. Mg(1) is bonded to two equivalent O(2) and four equivalent O(1) atoms to form MgO6 octahedra that share corners with six equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(2) and four equivalent O(1) atoms to form TiO6 octahedra that share corners with six equivalent Mg(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the second Ti site, Ti(2) is bonded to two equivalent O(3) and four equivalent O(1) atoms to form TiO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a distorted rectangular see-saw-like geometry to one O(2), one O(3), and two equivalent O(1) atoms. In the second Fe site, Fe(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form FeO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Ti(1), one Ti(2), one Fe(1), and one Fe(2) atom to form OMgTi2Fe2 square pyramids that share corners with five equivalent O(1)MgTi2Fe2 square pyramids, corners with three equivalent O(3)TiFe3 tetrahedra,  a cornercorner with one O(2)MgTiFe3 trigonal bipyramid, edges with three equivalent O(1)MgTi2Fe2 square pyramids,  an edgeedge with one O(3)TiFe3 tetrahedra, and edges with three equivalent O(2)MgTiFe3 trigonal bipyramids. In the second O site, O(2) is bonded to one Mg(1), one Ti(1), one Fe(1), and two equivalent Fe(2) atoms to form OMgTiFe3 trigonal bipyramids that share corners with two equivalent O(1)MgTi2Fe2 square pyramids, corners with three equivalent O(3)TiFe3 tetrahedra, corners with four equivalent O(2)MgTiFe3 trigonal bipyramids, edges with six equivalent O(1)MgTi2Fe2 square pyramids, and  an edgeedge with one O(3)TiFe3 tetrahedra. In the third O site, O(3) is bonded to one Ti(2), one Fe(1), and two equivalent Fe(2) atoms to form OTiFe3 tetrahedra that share corners with six equivalent O(1)MgTi2Fe2 square pyramids, corners with three equivalent O(3)TiFe3 tetrahedra, corners with three equivalent O(2)MgTiFe3 trigonal bipyramids, edges with two equivalent O(1)MgTi2Fe2 square pyramids, and  an edgeedge with one O(2)MgTiFe3 trigonal bipyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgTi2(FeO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.346
_cell_length_b   6.058
_cell_length_c   6.081
_cell_angle_alpha   59.873
_cell_angle_beta   61.371
_cell_angle_gamma   62.561
_symmetry_Int_Tables_number   1
_cell_volume   169.818
_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  0.500  0.000  0.000  1.0
  Ti  Ti1  1  0.000  0.500  0.500  1.0
  Ti  Ti2  1  0.500  0.000  0.500  1.0
  Fe  Fe3  1  0.025  0.097  0.189  1.0
  Fe  Fe4  1  0.500  0.500  0.000  1.0
  Fe  Fe5  1  0.500  0.500  0.500  1.0
  Fe  Fe6  1  0.975  0.903  0.811  1.0
  O  O7  1  0.263  0.214  0.268  1.0
  O  O8  1  0.263  0.214  0.755  1.0
  O  O9  1  0.248  0.728  0.262  1.0
  O  O10  1  0.677  0.279  0.272  1.0
  O  O11  1  0.323  0.721  0.728  1.0
  O  O12  1  0.752  0.272  0.738  1.0
  O  O13  1  0.737  0.786  0.245  1.0
  O  O14  1  0.737  0.786  0.732  1.0
[/CIF]
.