The structure described by Li4V3CrO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(4) atoms to form LiO6 octahedra that share corners with three equivalent V(3)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the second Li site, Li(2) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form LiO6 octahedra that share corners with three equivalent V(1)O6 octahedra, corners with three equivalent V(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are three inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form VO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the second V site, V(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the third V site, V(3) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. Cr(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), two equivalent Li(2), one V(1), one V(2), and one V(3) atom to form OLi3V3 octahedra that share corners with three equivalent O(3)Li3V2Cr octahedra, corners with three equivalent O(1)Li3V3 octahedra,  an edgeedge with one O(1)Li3V3 octahedra, edges with three equivalent O(3)Li3V2Cr octahedra, edges with four equivalent O(2)Li3V2Cr octahedra, and edges with four equivalent O(4)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(2), two equivalent Li(1), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share corners with three equivalent O(2)Li3V2Cr octahedra, corners with three equivalent O(4)Li3V2Cr octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra, edges with three equivalent O(4)Li3V2Cr octahedra, edges with four equivalent O(3)Li3V2Cr octahedra, and edges with four equivalent O(1)Li3V3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(1), two equivalent Li(2), one V(1), one V(2), and one Cr(1) atom to form OLi3V2Cr octahedra that share corners with three equivalent O(3)Li3V2Cr octahedra, corners with three equivalent O(1)Li3V3 octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra, edges with three equivalent O(1)Li3V3 octahedra, edges with four equivalent O(2)Li3V2Cr octahedra, and edges with four equivalent O(4)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(2), two equivalent Li(1), one V(2), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share corners with three equivalent O(2)Li3V2Cr octahedra, corners with three equivalent O(4)Li3V2Cr octahedra,  an edgeedge with one O(4)Li3V2Cr octahedra, edges with three equivalent O(2)Li3V2Cr octahedra, edges with four equivalent O(3)Li3V2Cr octahedra, and edges with four equivalent O(1)Li3V3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. is represented by the CIF file [CIF]
data_Li4V3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.185
_cell_length_b   5.947
_cell_length_c   5.948
_cell_angle_alpha   119.985
_cell_angle_beta   90.013
_cell_angle_gamma   73.344
_symmetry_Int_Tables_number   1
_cell_volume   149.916
_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  0.001  0.996  0.498  1.0
  Li  Li1  1  0.999  0.004  0.002  1.0
  Li  Li2  1  1.000  0.500  0.495  1.0
  Li  Li3  1  0.000  0.500  0.005  1.0
  V  V4  1  0.500  0.000  0.750  1.0
  V  V5  1  0.500  0.000  0.250  1.0
  V  V6  1  0.500  0.500  0.750  1.0
  Cr  Cr7  1  0.500  0.500  0.250  1.0
  O  O8  1  0.273  0.242  0.621  1.0
  O  O9  1  0.731  0.256  0.881  1.0
  O  O10  1  0.270  0.246  0.124  1.0
  O  O11  1  0.731  0.259  0.379  1.0
  O  O12  1  0.269  0.744  0.619  1.0
  O  O13  1  0.727  0.758  0.879  1.0
  O  O14  1  0.269  0.741  0.121  1.0
  O  O15  1  0.730  0.754  0.376  1.0
[/CIF]
.
The structure described by Li4V3CrO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(4) atoms to form LiO6 octahedra that share corners with three equivalent V(3)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the second Li site, Li(2) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form LiO6 octahedra that share corners with three equivalent V(1)O6 octahedra, corners with three equivalent V(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are three inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form VO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the second V site, V(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the third V site, V(3) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. Cr(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), two equivalent Li(2), one V(1), one V(2), and one V(3) atom to form OLi3V3 octahedra that share corners with three equivalent O(3)Li3V2Cr octahedra, corners with three equivalent O(1)Li3V3 octahedra,  an edgeedge with one O(1)Li3V3 octahedra, edges with three equivalent O(3)Li3V2Cr octahedra, edges with four equivalent O(2)Li3V2Cr octahedra, and edges with four equivalent O(4)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(2), two equivalent Li(1), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share corners with three equivalent O(2)Li3V2Cr octahedra, corners with three equivalent O(4)Li3V2Cr octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra, edges with three equivalent O(4)Li3V2Cr octahedra, edges with four equivalent O(3)Li3V2Cr octahedra, and edges with four equivalent O(1)Li3V3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(1), two equivalent Li(2), one V(1), one V(2), and one Cr(1) atom to form OLi3V2Cr octahedra that share corners with three equivalent O(3)Li3V2Cr octahedra, corners with three equivalent O(1)Li3V3 octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra, edges with three equivalent O(1)Li3V3 octahedra, edges with four equivalent O(2)Li3V2Cr octahedra, and edges with four equivalent O(4)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(2), two equivalent Li(1), one V(2), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share corners with three equivalent O(2)Li3V2Cr octahedra, corners with three equivalent O(4)Li3V2Cr octahedra,  an edgeedge with one O(4)Li3V2Cr octahedra, edges with three equivalent O(2)Li3V2Cr octahedra, edges with four equivalent O(3)Li3V2Cr octahedra, and edges with four equivalent O(1)Li3V3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. is represented by the CIF file [CIF]
data_Li4V3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.185
_cell_length_b   5.947
_cell_length_c   5.948
_cell_angle_alpha   119.985
_cell_angle_beta   90.013
_cell_angle_gamma   73.344
_symmetry_Int_Tables_number   1
_cell_volume   149.916
_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  0.001  0.996  0.498  1.0
  Li  Li1  1  0.999  0.004  0.002  1.0
  Li  Li2  1  1.000  0.500  0.495  1.0
  Li  Li3  1  0.000  0.500  0.005  1.0
  V  V4  1  0.500  0.000  0.750  1.0
  V  V5  1  0.500  0.000  0.250  1.0
  V  V6  1  0.500  0.500  0.750  1.0
  Cr  Cr7  1  0.500  0.500  0.250  1.0
  O  O8  1  0.273  0.242  0.621  1.0
  O  O9  1  0.731  0.256  0.881  1.0
  O  O10  1  0.270  0.246  0.124  1.0
  O  O11  1  0.731  0.259  0.379  1.0
  O  O12  1  0.269  0.744  0.619  1.0
  O  O13  1  0.727  0.758  0.879  1.0
  O  O14  1  0.269  0.741  0.121  1.0
  O  O15  1  0.730  0.754  0.376  1.0
[/CIF]
.