The material structure described by Li4Ti3V3(WO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra, and corners with four equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-65°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent W(1)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with four equivalent V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. In the second V site, V(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form VO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent V(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the second W site, W(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form WO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(2), one V(2), and one W(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(1), and one W(1) atom to form distorted OLiTi2W tetrahedra that share corners with two equivalent O(4)LiTi2V tetrahedra, corners with two equivalent O(6)LiTiVW tetrahedra, and edges with two equivalent O(6)LiTiVW tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(1), and one V(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(1), and one V(1) atom to form distorted OLiTi2V tetrahedra that share corners with two equivalent O(2)LiTi2W tetrahedra and corners with four equivalent O(6)LiTiVW tetrahedra. In the fifth O site, O(5) is bonded in a tetrahedral geometry to one Li(2), one Ti(2), and two equivalent V(2) atoms. In the sixth O site, O(6) is bonded to one Li(4), one Ti(1), one V(1), and one W(1) atom to form distorted OLiTiVW tetrahedra that share  a cornercorner with one O(2)LiTi2W tetrahedra,  a cornercorner with one O(6)LiTiVW tetrahedra, corners with two equivalent O(4)LiTi2V tetrahedra,  an edgeedge with one O(2)LiTi2W tetrahedra, and  an edgeedge with one O(6)LiTiVW tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(1), and one W(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent V(2), and one W(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(2), one V(2), and one W(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(2), and two equivalent V(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one V(1), and one W(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), two equivalent V(2), and one W(2) atom. is represented by the CIF card [CIF]
data_Li4Ti3V3(WO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.013
_cell_length_b   6.013
_cell_length_c   9.876
_cell_angle_alpha   88.665
_cell_angle_beta   88.665
_cell_angle_gamma   59.810
_symmetry_Int_Tables_number   1
_cell_volume   308.503
_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
  Li  Li0  1  0.665  0.665  0.101  1.0
  Li  Li1  1  0.996  0.996  0.012  1.0
  Li  Li2  1  0.003  0.003  0.506  1.0
  Li  Li3  1  0.332  0.332  0.599  1.0
  Ti  Ti4  1  0.336  0.839  0.786  1.0
  Ti  Ti5  1  0.839  0.336  0.786  1.0
  Ti  Ti6  1  0.174  0.174  0.280  1.0
  V  V7  1  0.826  0.826  0.788  1.0
  V  V8  1  0.185  0.652  0.289  1.0
  V  V9  1  0.652  0.185  0.289  1.0
  W  W10  1  0.670  0.670  0.511  1.0
  W  W11  1  0.339  0.339  0.012  1.0
  O  O12  1  0.337  0.836  0.405  1.0
  O  O13  1  0.522  0.522  0.657  1.0
  O  O14  1  0.651  0.651  0.894  1.0
  O  O15  1  0.005  0.005  0.692  1.0
  O  O16  1  0.007  0.007  0.198  1.0
  O  O17  1  0.836  0.337  0.405  1.0
  O  O18  1  0.507  0.961  0.656  1.0
  O  O19  1  0.961  0.507  0.656  1.0
  O  O20  1  0.163  0.163  0.892  1.0
  O  O21  1  0.830  0.830  0.411  1.0
  O  O22  1  0.038  0.474  0.158  1.0
  O  O23  1  0.474  0.038  0.158  1.0
  O  O24  1  0.319  0.319  0.399  1.0
  O  O25  1  0.170  0.675  0.901  1.0
  O  O26  1  0.486  0.486  0.155  1.0
  O  O27  1  0.675  0.170  0.901  1.0
[/CIF]
.
The material structure described by Li4Ti3V3(WO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra, and corners with four equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-65°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent W(1)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with four equivalent V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. In the second V site, V(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form VO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent V(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the second W site, W(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form WO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(2), one V(2), and one W(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(1), and one W(1) atom to form distorted OLiTi2W tetrahedra that share corners with two equivalent O(4)LiTi2V tetrahedra, corners with two equivalent O(6)LiTiVW tetrahedra, and edges with two equivalent O(6)LiTiVW tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(1), and one V(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(1), and one V(1) atom to form distorted OLiTi2V tetrahedra that share corners with two equivalent O(2)LiTi2W tetrahedra and corners with four equivalent O(6)LiTiVW tetrahedra. In the fifth O site, O(5) is bonded in a tetrahedral geometry to one Li(2), one Ti(2), and two equivalent V(2) atoms. In the sixth O site, O(6) is bonded to one Li(4), one Ti(1), one V(1), and one W(1) atom to form distorted OLiTiVW tetrahedra that share  a cornercorner with one O(2)LiTi2W tetrahedra,  a cornercorner with one O(6)LiTiVW tetrahedra, corners with two equivalent O(4)LiTi2V tetrahedra,  an edgeedge with one O(2)LiTi2W tetrahedra, and  an edgeedge with one O(6)LiTiVW tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(1), and one W(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent V(2), and one W(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(2), one V(2), and one W(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(2), and two equivalent V(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one V(1), and one W(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), two equivalent V(2), and one W(2) atom. is represented by the CIF card [CIF]
data_Li4Ti3V3(WO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.013
_cell_length_b   6.013
_cell_length_c   9.876
_cell_angle_alpha   88.665
_cell_angle_beta   88.665
_cell_angle_gamma   59.810
_symmetry_Int_Tables_number   1
_cell_volume   308.503
_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
  Li  Li0  1  0.665  0.665  0.101  1.0
  Li  Li1  1  0.996  0.996  0.012  1.0
  Li  Li2  1  0.003  0.003  0.506  1.0
  Li  Li3  1  0.332  0.332  0.599  1.0
  Ti  Ti4  1  0.336  0.839  0.786  1.0
  Ti  Ti5  1  0.839  0.336  0.786  1.0
  Ti  Ti6  1  0.174  0.174  0.280  1.0
  V  V7  1  0.826  0.826  0.788  1.0
  V  V8  1  0.185  0.652  0.289  1.0
  V  V9  1  0.652  0.185  0.289  1.0
  W  W10  1  0.670  0.670  0.511  1.0
  W  W11  1  0.339  0.339  0.012  1.0
  O  O12  1  0.337  0.836  0.405  1.0
  O  O13  1  0.522  0.522  0.657  1.0
  O  O14  1  0.651  0.651  0.894  1.0
  O  O15  1  0.005  0.005  0.692  1.0
  O  O16  1  0.007  0.007  0.198  1.0
  O  O17  1  0.836  0.337  0.405  1.0
  O  O18  1  0.507  0.961  0.656  1.0
  O  O19  1  0.961  0.507  0.656  1.0
  O  O20  1  0.163  0.163  0.892  1.0
  O  O21  1  0.830  0.830  0.411  1.0
  O  O22  1  0.038  0.474  0.158  1.0
  O  O23  1  0.474  0.038  0.158  1.0
  O  O24  1  0.319  0.319  0.399  1.0
  O  O25  1  0.170  0.675  0.901  1.0
  O  O26  1  0.486  0.486  0.155  1.0
  O  O27  1  0.675  0.170  0.901  1.0
[/CIF]
.