The material described by Na6(WO3)7 crystallizes in the trigonal R-3 space group. Na(1) is bonded to two equivalent O(3), three equivalent O(1), three equivalent O(2), and four equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with ten equivalent Na(1)O12 cuboctahedra, faces with five equivalent Na(1)O12 cuboctahedra,  a faceface with one W(2)O6 octahedra, and faces with seven equivalent W(1)O6 octahedra. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(4) atoms to form WO6 octahedra that share  a cornercorner with one W(2)O6 octahedra, corners with five equivalent W(1)O6 octahedra, and faces with seven equivalent Na(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the second W site, W(2) is bonded to six equivalent O(2) atoms to form WO6 octahedra that share corners with six equivalent W(1)O6 octahedra and faces with six equivalent Na(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are four inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Na(1) and two equivalent W(1) atoms to form distorted ONa3W2 square pyramids that share corners with five equivalent O(3)Na4W2 octahedra, corners with five equivalent O(4)Na4W2 octahedra, corners with two equivalent O(1)Na3W2 square pyramids, corners with seven equivalent O(2)Na3W2 square pyramids,  an edgeedge with one O(4)Na4W2 octahedra, edges with two equivalent O(2)Na3W2 square pyramids, edges with three equivalent O(1)Na3W2 square pyramids,  a faceface with one O(3)Na4W2 octahedra, and faces with three equivalent O(4)Na4W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the second O site, O(2) is bonded to three equivalent Na(1), one W(1), and one W(2) atom to form distorted ONa3W2 square pyramids that share corners with two equivalent O(3)Na4W2 octahedra, corners with nine equivalent O(4)Na4W2 octahedra,  a cornercorner with one O(2)Na3W2 square pyramid, corners with seven equivalent O(1)Na3W2 square pyramids,  an edgeedge with one O(3)Na4W2 octahedra,  an edgeedge with one O(4)Na4W2 octahedra, edges with two equivalent O(1)Na3W2 square pyramids, edges with two equivalent O(2)Na3W2 square pyramids,  a faceface with one O(3)Na4W2 octahedra,  a faceface with one O(4)Na4W2 octahedra, and faces with two equivalent O(2)Na3W2 square pyramids. The corner-sharing octahedral tilt angles range from 0-60°. In the third O site, O(3) is bonded to four equivalent Na(1) and two equivalent W(1) atoms to form distorted ONa4W2 octahedra that share corners with four equivalent O(3)Na4W2 octahedra, corners with four equivalent O(4)Na4W2 octahedra, corners with four equivalent O(2)Na3W2 square pyramids, corners with ten equivalent O(1)Na3W2 square pyramids, edges with two equivalent O(4)Na4W2 octahedra, edges with two equivalent O(2)Na3W2 square pyramids, faces with four equivalent O(4)Na4W2 octahedra, faces with two equivalent O(1)Na3W2 square pyramids, and faces with two equivalent O(2)Na3W2 square pyramids. The corner-sharing octahedral tilt angles range from 0-60°. In the fourth O site, O(4) is bonded to four equivalent Na(1) and two equivalent W(1) atoms to form distorted ONa4W2 octahedra that share corners with two equivalent O(3)Na4W2 octahedra, corners with six equivalent O(4)Na4W2 octahedra, corners with five equivalent O(1)Na3W2 square pyramids, corners with nine equivalent O(2)Na3W2 square pyramids,  an edgeedge with one O(3)Na4W2 octahedra,  an edgeedge with one O(4)Na4W2 octahedra,  an edgeedge with one O(1)Na3W2 square pyramid,  an edgeedge with one O(2)Na3W2 square pyramid, faces with two equivalent O(3)Na4W2 octahedra, faces with two equivalent O(4)Na4W2 octahedra,  a faceface with one O(2)Na3W2 square pyramid, and faces with three equivalent O(1)Na3W2 square pyramids. The corner-sharing octahedral tilt angles range from 0-60°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na6(WO3)7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.846
_cell_length_b   8.846
_cell_length_c   8.846
_cell_angle_alpha   113.572
_cell_angle_beta   113.572
_cell_angle_gamma   113.572
_symmetry_Int_Tables_number   1
_cell_volume   433.582
_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
  Na  Na0  1  0.571  0.143  0.286  1.0
  Na  Na1  1  0.143  0.286  0.571  1.0
  Na  Na2  1  0.286  0.571  0.143  1.0
  Na  Na3  1  0.714  0.429  0.857  1.0
  Na  Na4  1  0.857  0.714  0.429  1.0
  Na  Na5  1  0.429  0.857  0.714  1.0
  W  W6  1  0.786  0.071  0.645  1.0
  W  W7  1  0.071  0.645  0.786  1.0
  W  W8  1  0.645  0.786  0.071  1.0
  W  W9  1  0.929  0.355  0.214  1.0
  W  W10  1  0.214  0.929  0.355  1.0
  W  W11  1  0.355  0.214  0.929  1.0
  W  W12  1  0.500  0.500  0.500  1.0
  O  O13  1  0.784  0.074  0.144  1.0
  O  O14  1  0.567  0.639  0.783  1.0
  O  O15  1  0.361  0.217  0.433  1.0
  O  O16  1  0.500  0.000  0.500  1.0
  O  O17  1  0.929  0.358  0.715  1.0
  O  O18  1  0.783  0.567  0.639  1.0
  O  O19  1  0.074  0.144  0.784  1.0
  O  O20  1  0.358  0.715  0.929  1.0
  O  O21  1  0.285  0.071  0.642  1.0
  O  O22  1  0.856  0.216  0.926  1.0
  O  O23  1  0.144  0.784  0.074  1.0
  O  O24  1  0.715  0.929  0.358  1.0
  O  O25  1  0.500  0.500  0.000  1.0
  O  O26  1  0.642  0.285  0.071  1.0
  O  O27  1  0.926  0.856  0.216  1.0
  O  O28  1  0.071  0.642  0.285  1.0
  O  O29  1  0.639  0.783  0.567  1.0
  O  O30  1  0.217  0.433  0.361  1.0
  O  O31  1  0.433  0.361  0.217  1.0
  O  O32  1  0.000  0.500  0.500  1.0
  O  O33  1  0.216  0.926  0.856  1.0
[/CIF]
.
The material described by Na6(WO3)7 crystallizes in the trigonal R-3 space group. Na(1) is bonded to two equivalent O(3), three equivalent O(1), three equivalent O(2), and four equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with ten equivalent Na(1)O12 cuboctahedra, faces with five equivalent Na(1)O12 cuboctahedra,  a faceface with one W(2)O6 octahedra, and faces with seven equivalent W(1)O6 octahedra. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(4) atoms to form WO6 octahedra that share  a cornercorner with one W(2)O6 octahedra, corners with five equivalent W(1)O6 octahedra, and faces with seven equivalent Na(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the second W site, W(2) is bonded to six equivalent O(2) atoms to form WO6 octahedra that share corners with six equivalent W(1)O6 octahedra and faces with six equivalent Na(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are four inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Na(1) and two equivalent W(1) atoms to form distorted ONa3W2 square pyramids that share corners with five equivalent O(3)Na4W2 octahedra, corners with five equivalent O(4)Na4W2 octahedra, corners with two equivalent O(1)Na3W2 square pyramids, corners with seven equivalent O(2)Na3W2 square pyramids,  an edgeedge with one O(4)Na4W2 octahedra, edges with two equivalent O(2)Na3W2 square pyramids, edges with three equivalent O(1)Na3W2 square pyramids,  a faceface with one O(3)Na4W2 octahedra, and faces with three equivalent O(4)Na4W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the second O site, O(2) is bonded to three equivalent Na(1), one W(1), and one W(2) atom to form distorted ONa3W2 square pyramids that share corners with two equivalent O(3)Na4W2 octahedra, corners with nine equivalent O(4)Na4W2 octahedra,  a cornercorner with one O(2)Na3W2 square pyramid, corners with seven equivalent O(1)Na3W2 square pyramids,  an edgeedge with one O(3)Na4W2 octahedra,  an edgeedge with one O(4)Na4W2 octahedra, edges with two equivalent O(1)Na3W2 square pyramids, edges with two equivalent O(2)Na3W2 square pyramids,  a faceface with one O(3)Na4W2 octahedra,  a faceface with one O(4)Na4W2 octahedra, and faces with two equivalent O(2)Na3W2 square pyramids. The corner-sharing octahedral tilt angles range from 0-60°. In the third O site, O(3) is bonded to four equivalent Na(1) and two equivalent W(1) atoms to form distorted ONa4W2 octahedra that share corners with four equivalent O(3)Na4W2 octahedra, corners with four equivalent O(4)Na4W2 octahedra, corners with four equivalent O(2)Na3W2 square pyramids, corners with ten equivalent O(1)Na3W2 square pyramids, edges with two equivalent O(4)Na4W2 octahedra, edges with two equivalent O(2)Na3W2 square pyramids, faces with four equivalent O(4)Na4W2 octahedra, faces with two equivalent O(1)Na3W2 square pyramids, and faces with two equivalent O(2)Na3W2 square pyramids. The corner-sharing octahedral tilt angles range from 0-60°. In the fourth O site, O(4) is bonded to four equivalent Na(1) and two equivalent W(1) atoms to form distorted ONa4W2 octahedra that share corners with two equivalent O(3)Na4W2 octahedra, corners with six equivalent O(4)Na4W2 octahedra, corners with five equivalent O(1)Na3W2 square pyramids, corners with nine equivalent O(2)Na3W2 square pyramids,  an edgeedge with one O(3)Na4W2 octahedra,  an edgeedge with one O(4)Na4W2 octahedra,  an edgeedge with one O(1)Na3W2 square pyramid,  an edgeedge with one O(2)Na3W2 square pyramid, faces with two equivalent O(3)Na4W2 octahedra, faces with two equivalent O(4)Na4W2 octahedra,  a faceface with one O(2)Na3W2 square pyramid, and faces with three equivalent O(1)Na3W2 square pyramids. The corner-sharing octahedral tilt angles range from 0-60°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na6(WO3)7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.846
_cell_length_b   8.846
_cell_length_c   8.846
_cell_angle_alpha   113.572
_cell_angle_beta   113.572
_cell_angle_gamma   113.572
_symmetry_Int_Tables_number   1
_cell_volume   433.582
_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
  Na  Na0  1  0.571  0.143  0.286  1.0
  Na  Na1  1  0.143  0.286  0.571  1.0
  Na  Na2  1  0.286  0.571  0.143  1.0
  Na  Na3  1  0.714  0.429  0.857  1.0
  Na  Na4  1  0.857  0.714  0.429  1.0
  Na  Na5  1  0.429  0.857  0.714  1.0
  W  W6  1  0.786  0.071  0.645  1.0
  W  W7  1  0.071  0.645  0.786  1.0
  W  W8  1  0.645  0.786  0.071  1.0
  W  W9  1  0.929  0.355  0.214  1.0
  W  W10  1  0.214  0.929  0.355  1.0
  W  W11  1  0.355  0.214  0.929  1.0
  W  W12  1  0.500  0.500  0.500  1.0
  O  O13  1  0.784  0.074  0.144  1.0
  O  O14  1  0.567  0.639  0.783  1.0
  O  O15  1  0.361  0.217  0.433  1.0
  O  O16  1  0.500  0.000  0.500  1.0
  O  O17  1  0.929  0.358  0.715  1.0
  O  O18  1  0.783  0.567  0.639  1.0
  O  O19  1  0.074  0.144  0.784  1.0
  O  O20  1  0.358  0.715  0.929  1.0
  O  O21  1  0.285  0.071  0.642  1.0
  O  O22  1  0.856  0.216  0.926  1.0
  O  O23  1  0.144  0.784  0.074  1.0
  O  O24  1  0.715  0.929  0.358  1.0
  O  O25  1  0.500  0.500  0.000  1.0
  O  O26  1  0.642  0.285  0.071  1.0
  O  O27  1  0.926  0.856  0.216  1.0
  O  O28  1  0.071  0.642  0.285  1.0
  O  O29  1  0.639  0.783  0.567  1.0
  O  O30  1  0.217  0.433  0.361  1.0
  O  O31  1  0.433  0.361  0.217  1.0
  O  O32  1  0.000  0.500  0.500  1.0
  O  O33  1  0.216  0.926  0.856  1.0
[/CIF]
.