The structure described by Na4(WO3)9 crystallizes in the monoclinic C2/m space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(3), one O(6), two equivalent O(2), two equivalent O(8), two equivalent O(9), and four equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with two equivalent Na(1)O12 cuboctahedra, corners with five equivalent Na(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(5)O6 octahedra, faces with two equivalent W(2)O6 octahedra, faces with two equivalent W(3)O6 octahedra, and faces with two equivalent W(4)O6 octahedra. In the second Na site, Na(2) is bonded to one O(10), one O(6), two equivalent O(1), two equivalent O(5), two equivalent O(7), two equivalent O(8), and two equivalent O(9) atoms to form NaO12 cuboctahedra that share corners with five equivalent Na(1)O12 cuboctahedra, corners with five equivalent Na(2)O12 cuboctahedra,  a faceface with one W(2)O6 octahedra, faces with two equivalent W(1)O6 octahedra, faces with two equivalent W(4)O6 octahedra, and faces with three equivalent W(5)O6 octahedra. There are five inequivalent W sites. In the first W site, W(1) is bonded to one O(3), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form WO6 octahedra that share  a cornercorner with one W(5)O6 octahedra, corners with two equivalent W(4)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  a faceface with one Na(1)O12 cuboctahedra, and faces with two equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the second W site, W(2) is bonded to one O(3), one O(6), two equivalent O(1), and two equivalent O(4) atoms to form WO6 octahedra that share  a cornercorner with one W(5)O6 octahedra, corners with two equivalent W(3)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  a faceface with one Na(2)O12 cuboctahedra, and faces with two equivalent Na(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the third W site, W(3) is bonded to two equivalent O(2) and four equivalent O(4) atoms to form WO6 octahedra that share corners with two equivalent W(4)O6 octahedra, corners with four equivalent W(2)O6 octahedra, and faces with four equivalent Na(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fourth W site, W(4) is bonded to one O(10), one O(2), two equivalent O(8), and two equivalent O(9) atoms to form WO6 octahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(4)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(5)O6 octahedra, faces with two equivalent Na(1)O12 cuboctahedra, and faces with two equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth W site, W(5) is bonded to one O(5), one O(6), two equivalent O(7), and two equivalent O(8) atoms to form WO6 octahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra, corners with two equivalent W(5)O6 octahedra,  a faceface with one Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are ten inequivalent O sites. In the first O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na(2), one W(1), and one W(5) atom. In the second O site, O(6) is bonded in a distorted square co-planar geometry to one Na(1), one Na(2), one W(2), and one W(5) atom. In the third O site, O(7) is bonded in a distorted square co-planar geometry to two equivalent Na(2) and two equivalent W(5) atoms. In the fourth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one W(4), and one W(5) atom. In the fifth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one W(1), and one W(4) atom. In the sixth O site, O(10) is bonded in a distorted square co-planar geometry to two equivalent Na(2) and two equivalent W(4) atoms. In the seventh O site, O(1) is bonded in a distorted T-shaped geometry to one Na(2), one W(1), and one W(2) atom. In the eighth O site, O(2) is bonded in a distorted square co-planar geometry to two equivalent Na(1), one W(3), and one W(4) atom. In the ninth O site, O(3) is bonded in a distorted T-shaped geometry to one Na(1), one W(1), and one W(2) atom. In the tenth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na(1), one W(2), and one W(3) atom. is represented by the CIF file [CIF]
data_Na4(WO3)9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.399
_cell_length_b   9.399
_cell_length_c   11.518
_cell_angle_alpha   65.894
_cell_angle_beta   65.894
_cell_angle_gamma   33.560
_symmetry_Int_Tables_number   1
_cell_volume   508.753
_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  0.500  0.500  0.833  1.0
  Na  Na1  1  0.167  0.167  0.389  1.0
  Na  Na2  1  0.500  0.500  0.167  1.0
  Na  Na3  1  0.833  0.833  0.611  1.0
  W  W4  1  0.332  0.332  0.780  1.0
  W  W5  1  0.668  0.668  0.889  1.0
  W  W6  1  0.000  0.000  0.000  1.0
  W  W7  1  0.668  0.668  0.220  1.0
  W  W8  1  0.332  0.332  0.111  1.0
  W  W9  1  0.001  0.001  0.333  1.0
  W  W10  1  0.666  0.666  0.556  1.0
  W  W11  1  0.334  0.334  0.444  1.0
  W  W12  1  0.999  0.999  0.667  1.0
  O  O13  1  0.503  0.998  0.831  1.0
  O  O14  1  0.998  0.503  0.831  1.0
  O  O15  1  1.000  1.000  0.833  1.0
  O  O16  1  0.665  0.665  0.057  1.0
  O  O17  1  0.335  0.335  0.943  1.0
  O  O18  1  0.337  0.826  0.946  1.0
  O  O19  1  0.663  0.174  0.054  1.0
  O  O20  1  0.497  0.002  0.169  1.0
  O  O21  1  0.174  0.663  0.054  1.0
  O  O22  1  0.002  0.497  0.169  1.0
  O  O23  1  0.826  0.337  0.946  1.0
  O  O24  1  0.000  0.000  0.167  1.0
  O  O25  1  0.667  0.667  0.389  1.0
  O  O26  1  0.333  0.333  0.278  1.0
  O  O27  1  0.000  0.500  0.500  1.0
  O  O28  1  0.500  0.000  0.500  1.0
  O  O29  1  0.167  0.667  0.389  1.0
  O  O30  1  0.333  0.834  0.278  1.0
  O  O31  1  0.667  0.167  0.389  1.0
  O  O32  1  0.834  0.333  0.278  1.0
  O  O33  1  0.000  0.000  0.500  1.0
  O  O34  1  0.667  0.667  0.722  1.0
  O  O35  1  0.333  0.333  0.611  1.0
  O  O36  1  0.333  0.833  0.611  1.0
  O  O37  1  0.166  0.667  0.722  1.0
  O  O38  1  0.667  0.166  0.722  1.0
  O  O39  1  0.833  0.333  0.611  1.0
[/CIF]
.
The structure described by Na4(WO3)9 crystallizes in the monoclinic C2/m space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(3), one O(6), two equivalent O(2), two equivalent O(8), two equivalent O(9), and four equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with two equivalent Na(1)O12 cuboctahedra, corners with five equivalent Na(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(5)O6 octahedra, faces with two equivalent W(2)O6 octahedra, faces with two equivalent W(3)O6 octahedra, and faces with two equivalent W(4)O6 octahedra. In the second Na site, Na(2) is bonded to one O(10), one O(6), two equivalent O(1), two equivalent O(5), two equivalent O(7), two equivalent O(8), and two equivalent O(9) atoms to form NaO12 cuboctahedra that share corners with five equivalent Na(1)O12 cuboctahedra, corners with five equivalent Na(2)O12 cuboctahedra,  a faceface with one W(2)O6 octahedra, faces with two equivalent W(1)O6 octahedra, faces with two equivalent W(4)O6 octahedra, and faces with three equivalent W(5)O6 octahedra. There are five inequivalent W sites. In the first W site, W(1) is bonded to one O(3), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form WO6 octahedra that share  a cornercorner with one W(5)O6 octahedra, corners with two equivalent W(4)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  a faceface with one Na(1)O12 cuboctahedra, and faces with two equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the second W site, W(2) is bonded to one O(3), one O(6), two equivalent O(1), and two equivalent O(4) atoms to form WO6 octahedra that share  a cornercorner with one W(5)O6 octahedra, corners with two equivalent W(3)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  a faceface with one Na(2)O12 cuboctahedra, and faces with two equivalent Na(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the third W site, W(3) is bonded to two equivalent O(2) and four equivalent O(4) atoms to form WO6 octahedra that share corners with two equivalent W(4)O6 octahedra, corners with four equivalent W(2)O6 octahedra, and faces with four equivalent Na(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fourth W site, W(4) is bonded to one O(10), one O(2), two equivalent O(8), and two equivalent O(9) atoms to form WO6 octahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(4)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(5)O6 octahedra, faces with two equivalent Na(1)O12 cuboctahedra, and faces with two equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth W site, W(5) is bonded to one O(5), one O(6), two equivalent O(7), and two equivalent O(8) atoms to form WO6 octahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra, corners with two equivalent W(5)O6 octahedra,  a faceface with one Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are ten inequivalent O sites. In the first O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na(2), one W(1), and one W(5) atom. In the second O site, O(6) is bonded in a distorted square co-planar geometry to one Na(1), one Na(2), one W(2), and one W(5) atom. In the third O site, O(7) is bonded in a distorted square co-planar geometry to two equivalent Na(2) and two equivalent W(5) atoms. In the fourth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one W(4), and one W(5) atom. In the fifth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one W(1), and one W(4) atom. In the sixth O site, O(10) is bonded in a distorted square co-planar geometry to two equivalent Na(2) and two equivalent W(4) atoms. In the seventh O site, O(1) is bonded in a distorted T-shaped geometry to one Na(2), one W(1), and one W(2) atom. In the eighth O site, O(2) is bonded in a distorted square co-planar geometry to two equivalent Na(1), one W(3), and one W(4) atom. In the ninth O site, O(3) is bonded in a distorted T-shaped geometry to one Na(1), one W(1), and one W(2) atom. In the tenth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na(1), one W(2), and one W(3) atom. is represented by the CIF file [CIF]
data_Na4(WO3)9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.399
_cell_length_b   9.399
_cell_length_c   11.518
_cell_angle_alpha   65.894
_cell_angle_beta   65.894
_cell_angle_gamma   33.560
_symmetry_Int_Tables_number   1
_cell_volume   508.753
_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  0.500  0.500  0.833  1.0
  Na  Na1  1  0.167  0.167  0.389  1.0
  Na  Na2  1  0.500  0.500  0.167  1.0
  Na  Na3  1  0.833  0.833  0.611  1.0
  W  W4  1  0.332  0.332  0.780  1.0
  W  W5  1  0.668  0.668  0.889  1.0
  W  W6  1  0.000  0.000  0.000  1.0
  W  W7  1  0.668  0.668  0.220  1.0
  W  W8  1  0.332  0.332  0.111  1.0
  W  W9  1  0.001  0.001  0.333  1.0
  W  W10  1  0.666  0.666  0.556  1.0
  W  W11  1  0.334  0.334  0.444  1.0
  W  W12  1  0.999  0.999  0.667  1.0
  O  O13  1  0.503  0.998  0.831  1.0
  O  O14  1  0.998  0.503  0.831  1.0
  O  O15  1  1.000  1.000  0.833  1.0
  O  O16  1  0.665  0.665  0.057  1.0
  O  O17  1  0.335  0.335  0.943  1.0
  O  O18  1  0.337  0.826  0.946  1.0
  O  O19  1  0.663  0.174  0.054  1.0
  O  O20  1  0.497  0.002  0.169  1.0
  O  O21  1  0.174  0.663  0.054  1.0
  O  O22  1  0.002  0.497  0.169  1.0
  O  O23  1  0.826  0.337  0.946  1.0
  O  O24  1  0.000  0.000  0.167  1.0
  O  O25  1  0.667  0.667  0.389  1.0
  O  O26  1  0.333  0.333  0.278  1.0
  O  O27  1  0.000  0.500  0.500  1.0
  O  O28  1  0.500  0.000  0.500  1.0
  O  O29  1  0.167  0.667  0.389  1.0
  O  O30  1  0.333  0.834  0.278  1.0
  O  O31  1  0.667  0.167  0.389  1.0
  O  O32  1  0.834  0.333  0.278  1.0
  O  O33  1  0.000  0.000  0.500  1.0
  O  O34  1  0.667  0.667  0.722  1.0
  O  O35  1  0.333  0.333  0.611  1.0
  O  O36  1  0.333  0.833  0.611  1.0
  O  O37  1  0.166  0.667  0.722  1.0
  O  O38  1  0.667  0.166  0.722  1.0
  O  O39  1  0.833  0.333  0.611  1.0
[/CIF]
.