The structure described by W9O13 crystallizes in the triclinic P-1 space group. There are five inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(6) and four equivalent O(7) atoms to form WO6 octahedra that share corners with four equivalent W(5)O5 square pyramids and edges with two equivalent W(1)O6 octahedra. In the second W site, W(2) is bonded in a 2-coordinate geometry to one O(3), one O(4), and two equivalent O(1) atoms. In the third W site, W(3) is bonded in a 3-coordinate geometry to one O(5), one O(6), and one O(7) atom. In the fourth W site, W(4) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form WO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O5 square pyramid, and edges with two equivalent W(4)O6 octahedra. The corner-sharing octahedra are not tilted. In the fifth W site, W(5) is bonded to one O(2), two equivalent O(5), and two equivalent O(6) atoms to form distorted WO5 square pyramids that share  a cornercorner with one W(4)O6 octahedra, corners with two equivalent W(1)O6 octahedra, and edges with two equivalent W(5)O5 square pyramids. The corner-sharing octahedral tilt angles range from 22-74°. There are seven inequivalent O sites. In the first O site, O(1) is bonded to two equivalent W(4) and four equivalent W(2) atoms to form distorted edge-sharing OW6 octahedra. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one W(4) and one W(5) atom. In the third O site, O(3) is bonded in a trigonal non-coplanar geometry to one W(2) and two equivalent W(4) atoms. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one W(2) and two equivalent W(4) atoms. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one W(3) and two equivalent W(5) atoms. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one W(1), one W(3), and two equivalent W(5) atoms. In the seventh O site, O(7) is bonded in a trigonal non-coplanar geometry to one W(3) and two equivalent W(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_W9O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.258
_cell_length_b   6.700
_cell_length_c   17.637
_cell_angle_alpha   92.985
_cell_angle_beta   91.656
_cell_angle_gamma   99.868
_symmetry_Int_Tables_number   1
_cell_volume   378.510
_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
  W  W0  1  0.500  0.000  0.500  1.0
  W  W1  1  0.328  0.679  0.003  1.0
  W  W2  1  0.672  0.321  0.997  1.0
  W  W3  1  0.257  0.329  0.631  1.0
  W  W4  1  0.743  0.671  0.369  1.0
  W  W5  1  0.969  0.971  0.880  1.0
  W  W6  1  0.031  0.029  0.120  1.0
  W  W7  1  0.863  0.814  0.669  1.0
  W  W8  1  0.137  0.186  0.331  1.0
  O  O9  1  0.000  0.000  0.000  1.0
  O  O10  1  0.942  0.945  0.768  1.0
  O  O11  1  0.058  0.055  0.232  1.0
  O  O12  1  0.564  0.177  0.891  1.0
  O  O13  1  0.436  0.823  0.109  1.0
  O  O14  1  0.381  0.772  0.894  1.0
  O  O15  1  0.619  0.228  0.106  1.0
  O  O16  1  0.317  0.618  0.679  1.0
  O  O17  1  0.683  0.382  0.321  1.0
  O  O18  1  0.386  0.977  0.623  1.0
  O  O19  1  0.614  0.023  0.377  1.0
  O  O20  1  0.919  0.792  0.477  1.0
  O  O21  1  0.081  0.208  0.523  1.0
[/CIF]
.
The structure described by W9O13 crystallizes in the triclinic P-1 space group. There are five inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(6) and four equivalent O(7) atoms to form WO6 octahedra that share corners with four equivalent W(5)O5 square pyramids and edges with two equivalent W(1)O6 octahedra. In the second W site, W(2) is bonded in a 2-coordinate geometry to one O(3), one O(4), and two equivalent O(1) atoms. In the third W site, W(3) is bonded in a 3-coordinate geometry to one O(5), one O(6), and one O(7) atom. In the fourth W site, W(4) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form WO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O5 square pyramid, and edges with two equivalent W(4)O6 octahedra. The corner-sharing octahedra are not tilted. In the fifth W site, W(5) is bonded to one O(2), two equivalent O(5), and two equivalent O(6) atoms to form distorted WO5 square pyramids that share  a cornercorner with one W(4)O6 octahedra, corners with two equivalent W(1)O6 octahedra, and edges with two equivalent W(5)O5 square pyramids. The corner-sharing octahedral tilt angles range from 22-74°. There are seven inequivalent O sites. In the first O site, O(1) is bonded to two equivalent W(4) and four equivalent W(2) atoms to form distorted edge-sharing OW6 octahedra. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one W(4) and one W(5) atom. In the third O site, O(3) is bonded in a trigonal non-coplanar geometry to one W(2) and two equivalent W(4) atoms. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one W(2) and two equivalent W(4) atoms. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one W(3) and two equivalent W(5) atoms. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one W(1), one W(3), and two equivalent W(5) atoms. In the seventh O site, O(7) is bonded in a trigonal non-coplanar geometry to one W(3) and two equivalent W(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_W9O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.258
_cell_length_b   6.700
_cell_length_c   17.637
_cell_angle_alpha   92.985
_cell_angle_beta   91.656
_cell_angle_gamma   99.868
_symmetry_Int_Tables_number   1
_cell_volume   378.510
_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
  W  W0  1  0.500  0.000  0.500  1.0
  W  W1  1  0.328  0.679  0.003  1.0
  W  W2  1  0.672  0.321  0.997  1.0
  W  W3  1  0.257  0.329  0.631  1.0
  W  W4  1  0.743  0.671  0.369  1.0
  W  W5  1  0.969  0.971  0.880  1.0
  W  W6  1  0.031  0.029  0.120  1.0
  W  W7  1  0.863  0.814  0.669  1.0
  W  W8  1  0.137  0.186  0.331  1.0
  O  O9  1  0.000  0.000  0.000  1.0
  O  O10  1  0.942  0.945  0.768  1.0
  O  O11  1  0.058  0.055  0.232  1.0
  O  O12  1  0.564  0.177  0.891  1.0
  O  O13  1  0.436  0.823  0.109  1.0
  O  O14  1  0.381  0.772  0.894  1.0
  O  O15  1  0.619  0.228  0.106  1.0
  O  O16  1  0.317  0.618  0.679  1.0
  O  O17  1  0.683  0.382  0.321  1.0
  O  O18  1  0.386  0.977  0.623  1.0
  O  O19  1  0.614  0.023  0.377  1.0
  O  O20  1  0.919  0.792  0.477  1.0
  O  O21  1  0.081  0.208  0.523  1.0
[/CIF]
.