The compound described by MgWIn6O12 crystallizes in the trigonal R3 space group. Mg(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form MgO6 octahedra that share corners with six equivalent In(1)O6 octahedra and  a faceface with one W(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. W(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form distorted WO6 octahedra that share corners with three equivalent In(1)O6 octahedra, edges with three equivalent In(1)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are two inequivalent In sites. In the first In site, In(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms to form distorted InO6 octahedra that share  a cornercorner with one W(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent In(1)O6 octahedra, and  an edgeedge with one W(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-58°. In the second In site, In(2) is bonded in a 5-coordinate geometry to one O(4), two equivalent O(1), and two equivalent O(2) atoms. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(1), one In(1), and two equivalent In(2) atoms. In the second O site, O(2) is bonded to two equivalent In(1) and two equivalent In(2) atoms to form OIn4 tetrahedra that share corners with four equivalent O(2)In4 tetrahedra, corners with two equivalent O(4)MgIn2W trigonal pyramids, and  an edgeedge with one O(4)MgIn2W trigonal pyramid. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one W(1) and two equivalent In(1) atoms. In the fourth O site, O(4) is bonded to one Mg(1), one W(1), one In(1), and one In(2) atom to form distorted OMgIn2W trigonal pyramids that share corners with two equivalent O(2)In4 tetrahedra,  an edgeedge with one O(2)In4 tetrahedra, and edges with two equivalent O(4)MgIn2W trigonal pyramids. is represented by the CIF file [CIF]
data_MgIn6WO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.459
_cell_length_b   6.459
_cell_length_c   6.459
_cell_angle_alpha   92.006
_cell_angle_beta   92.006
_cell_angle_gamma   92.006
_symmetry_Int_Tables_number   1
_cell_volume   268.960
_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  0.230  0.230  0.230  1.0
  In  In1  1  0.410  0.902  0.719  1.0
  In  In2  1  0.902  0.719  0.410  1.0
  In  In3  1  0.719  0.410  0.902  1.0
  In  In4  1  0.679  0.183  0.411  1.0
  In  In5  1  0.183  0.411  0.679  1.0
  In  In6  1  0.411  0.679  0.183  1.0
  W  W7  1  0.960  0.960  0.960  1.0
  O  O8  1  0.174  0.536  0.358  1.0
  O  O9  1  0.536  0.358  0.174  1.0
  O  O10  1  0.358  0.174  0.536  1.0
  O  O11  1  0.838  0.432  0.592  1.0
  O  O12  1  0.432  0.592  0.838  1.0
  O  O13  1  0.592  0.838  0.432  1.0
  O  O14  1  0.698  0.062  0.841  1.0
  O  O15  1  0.044  0.274  0.950  1.0
  O  O16  1  0.950  0.044  0.274  1.0
  O  O17  1  0.274  0.950  0.044  1.0
  O  O18  1  0.841  0.698  0.062  1.0
  O  O19  1  0.062  0.841  0.698  1.0
[/CIF]
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The compound described by MgWIn6O12 crystallizes in the trigonal R3 space group. Mg(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form MgO6 octahedra that share corners with six equivalent In(1)O6 octahedra and  a faceface with one W(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. W(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form distorted WO6 octahedra that share corners with three equivalent In(1)O6 octahedra, edges with three equivalent In(1)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are two inequivalent In sites. In the first In site, In(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms to form distorted InO6 octahedra that share  a cornercorner with one W(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent In(1)O6 octahedra, and  an edgeedge with one W(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-58°. In the second In site, In(2) is bonded in a 5-coordinate geometry to one O(4), two equivalent O(1), and two equivalent O(2) atoms. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(1), one In(1), and two equivalent In(2) atoms. In the second O site, O(2) is bonded to two equivalent In(1) and two equivalent In(2) atoms to form OIn4 tetrahedra that share corners with four equivalent O(2)In4 tetrahedra, corners with two equivalent O(4)MgIn2W trigonal pyramids, and  an edgeedge with one O(4)MgIn2W trigonal pyramid. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one W(1) and two equivalent In(1) atoms. In the fourth O site, O(4) is bonded to one Mg(1), one W(1), one In(1), and one In(2) atom to form distorted OMgIn2W trigonal pyramids that share corners with two equivalent O(2)In4 tetrahedra,  an edgeedge with one O(2)In4 tetrahedra, and edges with two equivalent O(4)MgIn2W trigonal pyramids. is represented by the CIF file [CIF]
data_MgIn6WO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.459
_cell_length_b   6.459
_cell_length_c   6.459
_cell_angle_alpha   92.006
_cell_angle_beta   92.006
_cell_angle_gamma   92.006
_symmetry_Int_Tables_number   1
_cell_volume   268.960
_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  0.230  0.230  0.230  1.0
  In  In1  1  0.410  0.902  0.719  1.0
  In  In2  1  0.902  0.719  0.410  1.0
  In  In3  1  0.719  0.410  0.902  1.0
  In  In4  1  0.679  0.183  0.411  1.0
  In  In5  1  0.183  0.411  0.679  1.0
  In  In6  1  0.411  0.679  0.183  1.0
  W  W7  1  0.960  0.960  0.960  1.0
  O  O8  1  0.174  0.536  0.358  1.0
  O  O9  1  0.536  0.358  0.174  1.0
  O  O10  1  0.358  0.174  0.536  1.0
  O  O11  1  0.838  0.432  0.592  1.0
  O  O12  1  0.432  0.592  0.838  1.0
  O  O13  1  0.592  0.838  0.432  1.0
  O  O14  1  0.698  0.062  0.841  1.0
  O  O15  1  0.044  0.274  0.950  1.0
  O  O16  1  0.950  0.044  0.274  1.0
  O  O17  1  0.274  0.950  0.044  1.0
  O  O18  1  0.841  0.698  0.062  1.0
  O  O19  1  0.062  0.841  0.698  1.0
[/CIF]
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