The material described by Li6W2O9 crystallizes in the monoclinic C2/c space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(4), one O(5), and two equivalent O(3) atoms to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one W(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with two equivalent W(2)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-19°. In the second Li site, Li(2) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one W(2)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent W(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the third Li site, Li(3) is bonded to one O(1), one O(3), one O(4), one O(5), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-19°. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(5) atoms to form WO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent W(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and edges with four equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the second W site, W(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form distorted WO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), two equivalent Li(2), and one W(2) atom to form OLi4W square pyramids that share  a cornercorner with one O(3)Li4W2 octahedra,  a cornercorner with one O(2)Li4W square pyramid, corners with three equivalent O(1)Li4W square pyramids, corners with four equivalent O(4)Li4W square pyramids,  an edgeedge with one O(5)Li4W2 octahedra, edges with three equivalent O(3)Li4W2 octahedra, edges with two equivalent O(2)Li4W square pyramids, and edges with two equivalent O(4)Li4W square pyramids. The corner-sharing octahedral tilt angles are 17°. In the second O site, O(2) is bonded to one Li(1), one Li(2), two equivalent Li(3), and one W(1) atom to form OLi4W square pyramids that share  a cornercorner with one O(5)Li4W2 octahedra, corners with three equivalent O(3)Li4W2 octahedra,  a cornercorner with one O(1)Li4W square pyramid,  a cornercorner with one O(2)Li4W square pyramid, corners with three equivalent O(4)Li4W square pyramids, edges with two equivalent O(3)Li4W2 octahedra, edges with two equivalent O(5)Li4W2 octahedra,  an edgeedge with one O(2)Li4W square pyramid,  an edgeedge with one O(4)Li4W square pyramid, and edges with two equivalent O(1)Li4W square pyramids. The corner-sharing octahedral tilt angles range from 3-18°. In the third O site, O(3) is bonded to one Li(2), one Li(3), two equivalent Li(1), one W(1), and one W(2) atom to form distorted OLi4W2 octahedra that share  a cornercorner with one O(5)Li4W2 octahedra,  a cornercorner with one O(1)Li4W square pyramid,  a cornercorner with one O(4)Li4W square pyramid, corners with three equivalent O(2)Li4W square pyramids, edges with two equivalent O(3)Li4W2 octahedra, edges with two equivalent O(5)Li4W2 octahedra, edges with two equivalent O(2)Li4W square pyramids, edges with three equivalent O(1)Li4W square pyramids, and edges with three equivalent O(4)Li4W square pyramids. The corner-sharing octahedral tilt angles are 8°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), two equivalent Li(2), and one W(2) atom to form OLi4W square pyramids that share  a cornercorner with one O(3)Li4W2 octahedra,  a cornercorner with one O(4)Li4W square pyramid, corners with three equivalent O(2)Li4W square pyramids, corners with four equivalent O(1)Li4W square pyramids,  an edgeedge with one O(5)Li4W2 octahedra, edges with three equivalent O(3)Li4W2 octahedra,  an edgeedge with one O(2)Li4W square pyramid,  an edgeedge with one O(4)Li4W square pyramid, and edges with two equivalent O(1)Li4W square pyramids. The corner-sharing octahedral tilt angles are 9°. In the fifth O site, O(5) is bonded to two equivalent Li(1), two equivalent Li(3), and two equivalent W(1) atoms to form OLi4W2 octahedra that share corners with two equivalent O(3)Li4W2 octahedra, corners with two equivalent O(5)Li4W2 octahedra, corners with two equivalent O(2)Li4W square pyramids, edges with four equivalent O(3)Li4W2 octahedra, edges with two equivalent O(1)Li4W square pyramids, edges with two equivalent O(4)Li4W square pyramids, and edges with four equivalent O(2)Li4W square pyramids. The corner-sharing octahedral tilt angles range from 5-8°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li6W2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.668
_cell_length_b   6.668
_cell_length_c   8.327
_cell_angle_alpha   71.854
_cell_angle_beta   71.854
_cell_angle_gamma   83.874
_symmetry_Int_Tables_number   1
_cell_volume   334.341
_cell_formula_units_Z   2
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
  Li  Li0  1  0.345  0.984  0.416  1.0
  Li  Li1  1  0.660  0.664  0.419  1.0
  Li  Li2  1  0.001  0.357  0.411  1.0
  Li  Li3  1  0.357  0.001  0.911  1.0
  Li  Li4  1  0.984  0.345  0.916  1.0
  Li  Li5  1  0.664  0.660  0.919  1.0
  Li  Li6  1  0.655  0.016  0.584  1.0
  Li  Li7  1  0.340  0.336  0.581  1.0
  Li  Li8  1  0.999  0.643  0.589  1.0
  Li  Li9  1  0.016  0.655  0.084  1.0
  Li  Li10  1  0.336  0.340  0.081  1.0
  Li  Li11  1  0.643  0.999  0.089  1.0
  W  W12  1  0.010  0.990  0.250  1.0
  W  W13  1  0.990  0.010  0.750  1.0
  W  W14  1  0.363  0.637  0.750  1.0
  W  W15  1  0.637  0.363  0.250  1.0
  O  O16  1  0.678  0.652  0.168  1.0
  O  O17  1  0.015  0.301  0.669  1.0
  O  O18  1  0.301  0.015  0.169  1.0
  O  O19  1  0.308  0.981  0.679  1.0
  O  O20  1  0.981  0.308  0.179  1.0
  O  O21  1  0.652  0.678  0.668  1.0
  O  O22  1  0.330  0.670  0.525  1.0
  O  O23  1  0.000  0.000  0.000  1.0
  O  O24  1  0.000  0.000  0.500  1.0
  O  O25  1  0.330  0.670  0.975  1.0
  O  O26  1  0.985  0.699  0.331  1.0
  O  O27  1  0.348  0.322  0.332  1.0
  O  O28  1  0.019  0.692  0.821  1.0
  O  O29  1  0.699  0.985  0.831  1.0
  O  O30  1  0.692  0.019  0.321  1.0
  O  O31  1  0.322  0.348  0.832  1.0
  O  O32  1  0.670  0.330  0.475  1.0
  O  O33  1  0.670  0.330  0.025  1.0
[/CIF]
.
The material described by Li6W2O9 crystallizes in the monoclinic C2/c space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(4), one O(5), and two equivalent O(3) atoms to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one W(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with two equivalent W(2)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-19°. In the second Li site, Li(2) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one W(2)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent W(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the third Li site, Li(3) is bonded to one O(1), one O(3), one O(4), one O(5), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-19°. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(5) atoms to form WO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent W(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and edges with four equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the second W site, W(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form distorted WO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), two equivalent Li(2), and one W(2) atom to form OLi4W square pyramids that share  a cornercorner with one O(3)Li4W2 octahedra,  a cornercorner with one O(2)Li4W square pyramid, corners with three equivalent O(1)Li4W square pyramids, corners with four equivalent O(4)Li4W square pyramids,  an edgeedge with one O(5)Li4W2 octahedra, edges with three equivalent O(3)Li4W2 octahedra, edges with two equivalent O(2)Li4W square pyramids, and edges with two equivalent O(4)Li4W square pyramids. The corner-sharing octahedral tilt angles are 17°. In the second O site, O(2) is bonded to one Li(1), one Li(2), two equivalent Li(3), and one W(1) atom to form OLi4W square pyramids that share  a cornercorner with one O(5)Li4W2 octahedra, corners with three equivalent O(3)Li4W2 octahedra,  a cornercorner with one O(1)Li4W square pyramid,  a cornercorner with one O(2)Li4W square pyramid, corners with three equivalent O(4)Li4W square pyramids, edges with two equivalent O(3)Li4W2 octahedra, edges with two equivalent O(5)Li4W2 octahedra,  an edgeedge with one O(2)Li4W square pyramid,  an edgeedge with one O(4)Li4W square pyramid, and edges with two equivalent O(1)Li4W square pyramids. The corner-sharing octahedral tilt angles range from 3-18°. In the third O site, O(3) is bonded to one Li(2), one Li(3), two equivalent Li(1), one W(1), and one W(2) atom to form distorted OLi4W2 octahedra that share  a cornercorner with one O(5)Li4W2 octahedra,  a cornercorner with one O(1)Li4W square pyramid,  a cornercorner with one O(4)Li4W square pyramid, corners with three equivalent O(2)Li4W square pyramids, edges with two equivalent O(3)Li4W2 octahedra, edges with two equivalent O(5)Li4W2 octahedra, edges with two equivalent O(2)Li4W square pyramids, edges with three equivalent O(1)Li4W square pyramids, and edges with three equivalent O(4)Li4W square pyramids. The corner-sharing octahedral tilt angles are 8°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), two equivalent Li(2), and one W(2) atom to form OLi4W square pyramids that share  a cornercorner with one O(3)Li4W2 octahedra,  a cornercorner with one O(4)Li4W square pyramid, corners with three equivalent O(2)Li4W square pyramids, corners with four equivalent O(1)Li4W square pyramids,  an edgeedge with one O(5)Li4W2 octahedra, edges with three equivalent O(3)Li4W2 octahedra,  an edgeedge with one O(2)Li4W square pyramid,  an edgeedge with one O(4)Li4W square pyramid, and edges with two equivalent O(1)Li4W square pyramids. The corner-sharing octahedral tilt angles are 9°. In the fifth O site, O(5) is bonded to two equivalent Li(1), two equivalent Li(3), and two equivalent W(1) atoms to form OLi4W2 octahedra that share corners with two equivalent O(3)Li4W2 octahedra, corners with two equivalent O(5)Li4W2 octahedra, corners with two equivalent O(2)Li4W square pyramids, edges with four equivalent O(3)Li4W2 octahedra, edges with two equivalent O(1)Li4W square pyramids, edges with two equivalent O(4)Li4W square pyramids, and edges with four equivalent O(2)Li4W square pyramids. The corner-sharing octahedral tilt angles range from 5-8°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li6W2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.668
_cell_length_b   6.668
_cell_length_c   8.327
_cell_angle_alpha   71.854
_cell_angle_beta   71.854
_cell_angle_gamma   83.874
_symmetry_Int_Tables_number   1
_cell_volume   334.341
_cell_formula_units_Z   2
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
  Li  Li0  1  0.345  0.984  0.416  1.0
  Li  Li1  1  0.660  0.664  0.419  1.0
  Li  Li2  1  0.001  0.357  0.411  1.0
  Li  Li3  1  0.357  0.001  0.911  1.0
  Li  Li4  1  0.984  0.345  0.916  1.0
  Li  Li5  1  0.664  0.660  0.919  1.0
  Li  Li6  1  0.655  0.016  0.584  1.0
  Li  Li7  1  0.340  0.336  0.581  1.0
  Li  Li8  1  0.999  0.643  0.589  1.0
  Li  Li9  1  0.016  0.655  0.084  1.0
  Li  Li10  1  0.336  0.340  0.081  1.0
  Li  Li11  1  0.643  0.999  0.089  1.0
  W  W12  1  0.010  0.990  0.250  1.0
  W  W13  1  0.990  0.010  0.750  1.0
  W  W14  1  0.363  0.637  0.750  1.0
  W  W15  1  0.637  0.363  0.250  1.0
  O  O16  1  0.678  0.652  0.168  1.0
  O  O17  1  0.015  0.301  0.669  1.0
  O  O18  1  0.301  0.015  0.169  1.0
  O  O19  1  0.308  0.981  0.679  1.0
  O  O20  1  0.981  0.308  0.179  1.0
  O  O21  1  0.652  0.678  0.668  1.0
  O  O22  1  0.330  0.670  0.525  1.0
  O  O23  1  0.000  0.000  0.000  1.0
  O  O24  1  0.000  0.000  0.500  1.0
  O  O25  1  0.330  0.670  0.975  1.0
  O  O26  1  0.985  0.699  0.331  1.0
  O  O27  1  0.348  0.322  0.332  1.0
  O  O28  1  0.019  0.692  0.821  1.0
  O  O29  1  0.699  0.985  0.831  1.0
  O  O30  1  0.692  0.019  0.321  1.0
  O  O31  1  0.322  0.348  0.832  1.0
  O  O32  1  0.670  0.330  0.475  1.0
  O  O33  1  0.670  0.330  0.025  1.0
[/CIF]
.