The material described by MgTi2WPb4O12 crystallizes in the tetragonal I4/mmm space group. Mg(1) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form MgO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, and faces with eight equivalent Pb(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Ti(1) is bonded to one O(3), one O(4), and four equivalent O(1) atoms to form TiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one W(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, and faces with eight equivalent Pb(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. W(1) is bonded to two equivalent O(4) and four equivalent O(2) atoms to form WO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, and faces with eight equivalent Pb(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Pb(1) is bonded to two equivalent O(3), two equivalent O(4), four equivalent O(1), and four equivalent O(2) atoms to form distorted PbO12 cuboctahedra that share corners with twelve equivalent Pb(1)O12 cuboctahedra, faces with six equivalent Pb(1)O12 cuboctahedra, faces with two equivalent Mg(1)O6 octahedra, faces with two equivalent W(1)O6 octahedra, and faces with four equivalent Ti(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a linear geometry to two equivalent Ti(1) and four equivalent Pb(1) atoms. In the second O site, O(2) is bonded in a linear geometry to one Mg(1), one W(1), and four equivalent Pb(1) atoms. In the third O site, O(3) is bonded in a linear geometry to one Mg(1), one Ti(1), and four equivalent Pb(1) atoms. In the fourth O site, O(4) is bonded in a linear geometry to one Ti(1), one W(1), and four equivalent Pb(1) atoms. is represented by the CIF file [CIF]
data_MgTi2Pb4WO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.009
_cell_length_b   9.009
_cell_length_c   9.009
_cell_angle_alpha   143.309
_cell_angle_beta   143.309
_cell_angle_gamma   52.862
_symmetry_Int_Tables_number   1
_cell_volume   259.476
_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  0.500  0.000  1.0
  Ti  Ti1  1  0.743  0.743  0.000  1.0
  Ti  Ti2  1  0.257  0.257  0.000  1.0
  Pb  Pb3  1  0.127  0.627  0.500  1.0
  Pb  Pb4  1  0.373  0.873  0.500  1.0
  Pb  Pb5  1  0.627  0.127  0.500  1.0
  Pb  Pb6  1  0.873  0.373  0.500  1.0
  W  W7  1  0.000  0.000  0.000  1.0
  O  O8  1  0.500  0.500  0.500  1.0
  O  O9  1  0.758  0.758  0.516  1.0
  O  O10  1  0.000  0.000  0.500  1.0
  O  O11  1  0.242  0.242  0.484  1.0
  O  O12  1  0.630  0.630  0.000  1.0
  O  O13  1  0.877  0.877  0.000  1.0
  O  O14  1  0.123  0.123  0.000  1.0
  O  O15  1  0.370  0.370  0.000  1.0
  O  O16  1  0.500  0.000  0.000  1.0
  O  O17  1  0.758  0.242  0.000  1.0
  O  O18  1  0.000  0.500  0.000  1.0
  O  O19  1  0.242  0.758  0.000  1.0
[/CIF]
.
The material described by MgTi2WPb4O12 crystallizes in the tetragonal I4/mmm space group. Mg(1) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form MgO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, and faces with eight equivalent Pb(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Ti(1) is bonded to one O(3), one O(4), and four equivalent O(1) atoms to form TiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one W(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, and faces with eight equivalent Pb(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. W(1) is bonded to two equivalent O(4) and four equivalent O(2) atoms to form WO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, and faces with eight equivalent Pb(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Pb(1) is bonded to two equivalent O(3), two equivalent O(4), four equivalent O(1), and four equivalent O(2) atoms to form distorted PbO12 cuboctahedra that share corners with twelve equivalent Pb(1)O12 cuboctahedra, faces with six equivalent Pb(1)O12 cuboctahedra, faces with two equivalent Mg(1)O6 octahedra, faces with two equivalent W(1)O6 octahedra, and faces with four equivalent Ti(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a linear geometry to two equivalent Ti(1) and four equivalent Pb(1) atoms. In the second O site, O(2) is bonded in a linear geometry to one Mg(1), one W(1), and four equivalent Pb(1) atoms. In the third O site, O(3) is bonded in a linear geometry to one Mg(1), one Ti(1), and four equivalent Pb(1) atoms. In the fourth O site, O(4) is bonded in a linear geometry to one Ti(1), one W(1), and four equivalent Pb(1) atoms. is represented by the CIF file [CIF]
data_MgTi2Pb4WO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.009
_cell_length_b   9.009
_cell_length_c   9.009
_cell_angle_alpha   143.309
_cell_angle_beta   143.309
_cell_angle_gamma   52.862
_symmetry_Int_Tables_number   1
_cell_volume   259.476
_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  0.500  0.000  1.0
  Ti  Ti1  1  0.743  0.743  0.000  1.0
  Ti  Ti2  1  0.257  0.257  0.000  1.0
  Pb  Pb3  1  0.127  0.627  0.500  1.0
  Pb  Pb4  1  0.373  0.873  0.500  1.0
  Pb  Pb5  1  0.627  0.127  0.500  1.0
  Pb  Pb6  1  0.873  0.373  0.500  1.0
  W  W7  1  0.000  0.000  0.000  1.0
  O  O8  1  0.500  0.500  0.500  1.0
  O  O9  1  0.758  0.758  0.516  1.0
  O  O10  1  0.000  0.000  0.500  1.0
  O  O11  1  0.242  0.242  0.484  1.0
  O  O12  1  0.630  0.630  0.000  1.0
  O  O13  1  0.877  0.877  0.000  1.0
  O  O14  1  0.123  0.123  0.000  1.0
  O  O15  1  0.370  0.370  0.000  1.0
  O  O16  1  0.500  0.000  0.000  1.0
  O  O17  1  0.758  0.242  0.000  1.0
  O  O18  1  0.000  0.500  0.000  1.0
  O  O19  1  0.242  0.758  0.000  1.0
[/CIF]
.