The compound described by MgLa6WO12 crystallizes in the trigonal R3 space group. Mg(1) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form MgO6 octahedra that share  a faceface with one W(1)O6 octahedra. There are two inequivalent La sites. In the first La site, La(1) is bonded in a 7-coordinate geometry to one O(2), two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms. In the second La site, La(2) is bonded in a 7-coordinate geometry to one O(1), two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms. W(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form WO6 octahedra that share  a faceface with one Mg(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded to one La(2), two equivalent La(1), and one W(1) atom to form distorted OLa3W trigonal pyramids that share corners with two equivalent O(3)La4Mg square pyramids, corners with six equivalent O(4)La4 tetrahedra, corners with four equivalent O(1)La3W trigonal pyramids, and edges with two equivalent O(3)La4Mg square pyramids. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Mg(1), one La(1), two equivalent La(2), and one W(1) atom. In the third O site, O(3) is bonded to one Mg(1), two equivalent La(1), and two equivalent La(2) atoms to form distorted OLa4Mg square pyramids that share corners with two equivalent O(3)La4Mg square pyramids, corners with two equivalent O(4)La4 tetrahedra, corners with two equivalent O(1)La3W trigonal pyramids, edges with two equivalent O(3)La4Mg square pyramids, edges with three equivalent O(4)La4 tetrahedra, and edges with two equivalent O(1)La3W trigonal pyramids. In the fourth O site, O(4) is bonded to two equivalent La(1) and two equivalent La(2) atoms to form OLa4 tetrahedra that share corners with two equivalent O(3)La4Mg square pyramids, corners with four equivalent O(4)La4 tetrahedra, corners with six equivalent O(1)La3W trigonal pyramids, and edges with three equivalent O(3)La4Mg square pyramids. is represented by the CIF card [CIF]
data_La6MgWO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.907
_cell_length_b   6.907
_cell_length_c   6.907
_cell_angle_alpha   99.515
_cell_angle_beta   99.515
_cell_angle_gamma   99.515
_symmetry_Int_Tables_number   1
_cell_volume   314.186
_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
  La  La0  1  0.406  0.862  0.684  1.0
  La  La1  1  0.297  0.649  0.136  1.0
  La  La2  1  0.136  0.297  0.649  1.0
  La  La3  1  0.862  0.684  0.406  1.0
  La  La4  1  0.684  0.406  0.862  1.0
  La  La5  1  0.649  0.136  0.297  1.0
  Mg  Mg6  1  0.256  0.256  0.256  1.0
  W  W7  1  0.985  0.985  0.985  1.0
  O  O8  1  0.054  0.926  0.701  1.0
  O  O9  1  0.296  0.984  0.080  1.0
  O  O10  1  0.187  0.547  0.417  1.0
  O  O11  1  0.578  0.830  0.411  1.0
  O  O12  1  0.080  0.296  0.984  1.0
  O  O13  1  0.411  0.578  0.830  1.0
  O  O14  1  0.547  0.417  0.187  1.0
  O  O15  1  0.926  0.701  0.054  1.0
  O  O16  1  0.417  0.187  0.547  1.0
  O  O17  1  0.830  0.411  0.578  1.0
  O  O18  1  0.701  0.054  0.926  1.0
  O  O19  1  0.984  0.080  0.296  1.0
[/CIF]
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The compound described by MgLa6WO12 crystallizes in the trigonal R3 space group. Mg(1) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form MgO6 octahedra that share  a faceface with one W(1)O6 octahedra. There are two inequivalent La sites. In the first La site, La(1) is bonded in a 7-coordinate geometry to one O(2), two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms. In the second La site, La(2) is bonded in a 7-coordinate geometry to one O(1), two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms. W(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form WO6 octahedra that share  a faceface with one Mg(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded to one La(2), two equivalent La(1), and one W(1) atom to form distorted OLa3W trigonal pyramids that share corners with two equivalent O(3)La4Mg square pyramids, corners with six equivalent O(4)La4 tetrahedra, corners with four equivalent O(1)La3W trigonal pyramids, and edges with two equivalent O(3)La4Mg square pyramids. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Mg(1), one La(1), two equivalent La(2), and one W(1) atom. In the third O site, O(3) is bonded to one Mg(1), two equivalent La(1), and two equivalent La(2) atoms to form distorted OLa4Mg square pyramids that share corners with two equivalent O(3)La4Mg square pyramids, corners with two equivalent O(4)La4 tetrahedra, corners with two equivalent O(1)La3W trigonal pyramids, edges with two equivalent O(3)La4Mg square pyramids, edges with three equivalent O(4)La4 tetrahedra, and edges with two equivalent O(1)La3W trigonal pyramids. In the fourth O site, O(4) is bonded to two equivalent La(1) and two equivalent La(2) atoms to form OLa4 tetrahedra that share corners with two equivalent O(3)La4Mg square pyramids, corners with four equivalent O(4)La4 tetrahedra, corners with six equivalent O(1)La3W trigonal pyramids, and edges with three equivalent O(3)La4Mg square pyramids. is represented by the CIF card [CIF]
data_La6MgWO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.907
_cell_length_b   6.907
_cell_length_c   6.907
_cell_angle_alpha   99.515
_cell_angle_beta   99.515
_cell_angle_gamma   99.515
_symmetry_Int_Tables_number   1
_cell_volume   314.186
_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
  La  La0  1  0.406  0.862  0.684  1.0
  La  La1  1  0.297  0.649  0.136  1.0
  La  La2  1  0.136  0.297  0.649  1.0
  La  La3  1  0.862  0.684  0.406  1.0
  La  La4  1  0.684  0.406  0.862  1.0
  La  La5  1  0.649  0.136  0.297  1.0
  Mg  Mg6  1  0.256  0.256  0.256  1.0
  W  W7  1  0.985  0.985  0.985  1.0
  O  O8  1  0.054  0.926  0.701  1.0
  O  O9  1  0.296  0.984  0.080  1.0
  O  O10  1  0.187  0.547  0.417  1.0
  O  O11  1  0.578  0.830  0.411  1.0
  O  O12  1  0.080  0.296  0.984  1.0
  O  O13  1  0.411  0.578  0.830  1.0
  O  O14  1  0.547  0.417  0.187  1.0
  O  O15  1  0.926  0.701  0.054  1.0
  O  O16  1  0.417  0.187  0.547  1.0
  O  O17  1  0.830  0.411  0.578  1.0
  O  O18  1  0.701  0.054  0.926  1.0
  O  O19  1  0.984  0.080  0.296  1.0
[/CIF]
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