The structure described by Li4V3Cr3(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 Cr(1)O6 octahedra, corners with two equivalent Cr(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 57-62°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-63°. 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 Cr(1)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-63°. 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 Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. 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, edges with four equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. 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(2)O4 tetrahedra,  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 V(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 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 V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  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 49°. 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 V(2), one W(1), and one Cr(2) atom. In the second O site, O(2) is bonded to one Li(4), one W(1), and two equivalent Cr(1) atoms to form distorted OLiCr2W tetrahedra that share corners with two equivalent O(4)LiVCr2 tetrahedra,  a cornercorner with one O(10)LiV2Cr trigonal pyramid, and  an edgeedge with one O(3)LiVCr2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one V(1), and two equivalent Cr(1) atoms to form distorted OLiVCr2 trigonal pyramids that share corners with two equivalent O(9)LiVCrW tetrahedra, corners with three equivalent O(4)LiVCr2 tetrahedra, and  an edgeedge with one O(2)LiCr2W tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one V(1), and two equivalent Cr(1) atoms to form OLiVCr2 tetrahedra that share corners with two equivalent O(2)LiCr2W tetrahedra and corners with three equivalent O(3)LiVCr2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(2), and one Cr(2) atom to form distorted OLiV2Cr tetrahedra that share corners with four equivalent O(9)LiVCrW tetrahedra and corners with three equivalent O(10)LiV2Cr trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one W(1), and one Cr(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one W(2), and two equivalent Cr(1) atoms. 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 to one Li(1), one V(2), one W(2), and one Cr(2) atom to form distorted OLiVCrW tetrahedra that share  a cornercorner with one O(9)LiVCrW tetrahedra, corners with two equivalent O(5)LiV2Cr tetrahedra,  a cornercorner with one O(3)LiVCr2 trigonal pyramid,  an edgeedge with one O(9)LiVCrW tetrahedra, and  an edgeedge with one O(10)LiV2Cr trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), two equivalent V(2), and one Cr(2) atom to form distorted OLiV2Cr trigonal pyramids that share  a cornercorner with one O(2)LiCr2W tetrahedra, corners with three equivalent O(5)LiV2Cr tetrahedra, and edges with two equivalent O(9)LiVCrW tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one W(2), and one Cr(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent V(2), and one W(2) atom. is represented by the CIF card [CIF]
data_Li4V3Cr3(WO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.988
_cell_length_b   5.988
_cell_length_c   9.716
_cell_angle_alpha   89.923
_cell_angle_beta   89.923
_cell_angle_gamma   59.947
_symmetry_Int_Tables_number   1
_cell_volume   301.521
_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  0.666  0.666  0.097  1.0
  Li  Li1  1  0.000  0.000  0.007  1.0
  Li  Li2  1  0.002  0.002  0.508  1.0
  Li  Li3  1  0.333  0.333  0.600  1.0
  V  V4  1  0.831  0.831  0.787  1.0
  V  V5  1  0.167  0.661  0.287  1.0
  V  V6  1  0.661  0.167  0.287  1.0
  Cr  Cr7  1  0.339  0.828  0.786  1.0
  Cr  Cr8  1  0.828  0.339  0.786  1.0
  Cr  Cr9  1  0.169  0.169  0.285  1.0
  W  W10  1  0.666  0.666  0.514  1.0
  W  W11  1  0.332  0.332  0.013  1.0
  O  O12  1  0.339  0.832  0.405  1.0
  O  O13  1  0.519  0.519  0.659  1.0
  O  O14  1  0.667  0.667  0.892  1.0
  O  O15  1  1.000  1.000  0.694  1.0
  O  O16  1  1.000  1.000  0.192  1.0
  O  O17  1  0.832  0.339  0.405  1.0
  O  O18  1  0.518  0.959  0.655  1.0
  O  O19  1  0.959  0.518  0.655  1.0
  O  O20  1  0.171  0.171  0.905  1.0
  O  O21  1  0.834  0.834  0.407  1.0
  O  O22  1  0.037  0.478  0.157  1.0
  O  O23  1  0.478  0.037  0.157  1.0
  O  O24  1  0.334  0.334  0.393  1.0
  O  O25  1  0.170  0.667  0.905  1.0
  O  O26  1  0.478  0.478  0.151  1.0
  O  O27  1  0.667  0.170  0.905  1.0
[/CIF]
.
The structure described by Li4V3Cr3(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 Cr(1)O6 octahedra, corners with two equivalent Cr(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 57-62°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-63°. 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 Cr(1)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-63°. 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 Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. 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, edges with four equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. 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(2)O4 tetrahedra,  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 V(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 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 V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  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 49°. 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 V(2), one W(1), and one Cr(2) atom. In the second O site, O(2) is bonded to one Li(4), one W(1), and two equivalent Cr(1) atoms to form distorted OLiCr2W tetrahedra that share corners with two equivalent O(4)LiVCr2 tetrahedra,  a cornercorner with one O(10)LiV2Cr trigonal pyramid, and  an edgeedge with one O(3)LiVCr2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one V(1), and two equivalent Cr(1) atoms to form distorted OLiVCr2 trigonal pyramids that share corners with two equivalent O(9)LiVCrW tetrahedra, corners with three equivalent O(4)LiVCr2 tetrahedra, and  an edgeedge with one O(2)LiCr2W tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one V(1), and two equivalent Cr(1) atoms to form OLiVCr2 tetrahedra that share corners with two equivalent O(2)LiCr2W tetrahedra and corners with three equivalent O(3)LiVCr2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(2), and one Cr(2) atom to form distorted OLiV2Cr tetrahedra that share corners with four equivalent O(9)LiVCrW tetrahedra and corners with three equivalent O(10)LiV2Cr trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one W(1), and one Cr(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one W(2), and two equivalent Cr(1) atoms. 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 to one Li(1), one V(2), one W(2), and one Cr(2) atom to form distorted OLiVCrW tetrahedra that share  a cornercorner with one O(9)LiVCrW tetrahedra, corners with two equivalent O(5)LiV2Cr tetrahedra,  a cornercorner with one O(3)LiVCr2 trigonal pyramid,  an edgeedge with one O(9)LiVCrW tetrahedra, and  an edgeedge with one O(10)LiV2Cr trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), two equivalent V(2), and one Cr(2) atom to form distorted OLiV2Cr trigonal pyramids that share  a cornercorner with one O(2)LiCr2W tetrahedra, corners with three equivalent O(5)LiV2Cr tetrahedra, and edges with two equivalent O(9)LiVCrW tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one W(2), and one Cr(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent V(2), and one W(2) atom. is represented by the CIF card [CIF]
data_Li4V3Cr3(WO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.988
_cell_length_b   5.988
_cell_length_c   9.716
_cell_angle_alpha   89.923
_cell_angle_beta   89.923
_cell_angle_gamma   59.947
_symmetry_Int_Tables_number   1
_cell_volume   301.521
_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  0.666  0.666  0.097  1.0
  Li  Li1  1  0.000  0.000  0.007  1.0
  Li  Li2  1  0.002  0.002  0.508  1.0
  Li  Li3  1  0.333  0.333  0.600  1.0
  V  V4  1  0.831  0.831  0.787  1.0
  V  V5  1  0.167  0.661  0.287  1.0
  V  V6  1  0.661  0.167  0.287  1.0
  Cr  Cr7  1  0.339  0.828  0.786  1.0
  Cr  Cr8  1  0.828  0.339  0.786  1.0
  Cr  Cr9  1  0.169  0.169  0.285  1.0
  W  W10  1  0.666  0.666  0.514  1.0
  W  W11  1  0.332  0.332  0.013  1.0
  O  O12  1  0.339  0.832  0.405  1.0
  O  O13  1  0.519  0.519  0.659  1.0
  O  O14  1  0.667  0.667  0.892  1.0
  O  O15  1  1.000  1.000  0.694  1.0
  O  O16  1  1.000  1.000  0.192  1.0
  O  O17  1  0.832  0.339  0.405  1.0
  O  O18  1  0.518  0.959  0.655  1.0
  O  O19  1  0.959  0.518  0.655  1.0
  O  O20  1  0.171  0.171  0.905  1.0
  O  O21  1  0.834  0.834  0.407  1.0
  O  O22  1  0.037  0.478  0.157  1.0
  O  O23  1  0.478  0.037  0.157  1.0
  O  O24  1  0.334  0.334  0.393  1.0
  O  O25  1  0.170  0.667  0.905  1.0
  O  O26  1  0.478  0.478  0.151  1.0
  O  O27  1  0.667  0.170  0.905  1.0
[/CIF]
.