The compound described by Li2V3CrO8 is Spinel-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(4), one O(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(6), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are five inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the second V site, V(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(4)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. In the third V site, V(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form VO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the fourth V site, V(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. In the fifth V site, V(5) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form VO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(5)O6 octahedra. In the second Cr site, Cr(2) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent V(5)O6 octahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(1), one V(3), and one V(5) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(2), one V(4), and one V(5) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(1), one V(3), and one Cr(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(2), one V(4), and one Cr(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), one V(5), and one Cr(1) atom. In the sixth O site, O(6) is bonded to one Li(2), one V(2), one V(5), and one Cr(2) atom to form distorted corner-sharing OLiV2Cr trigonal pyramids. In the seventh O site, O(7) is bonded to one Li(1), one V(3), one V(5), and one Cr(1) atom to form distorted corner-sharing OLiV2Cr trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(4), one V(5), and one Cr(2) atom. is represented by the CIF file [CIF]
data_Li2V3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.064
_cell_length_b   10.133
_cell_length_c   5.960
_cell_angle_alpha   105.176
_cell_angle_beta   59.410
_cell_angle_gamma   90.008
_symmetry_Int_Tables_number   1
_cell_volume   300.312
_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  0.312  0.560  0.371  1.0
  Li  Li1  1  0.819  0.060  0.368  1.0
  Li  Li2  1  0.188  0.940  0.629  1.0
  Li  Li3  1  0.681  0.440  0.632  1.0
  V  V4  1  0.250  0.750  1.000  1.0
  V  V5  1  0.750  0.250  1.000  1.0
  V  V6  1  0.750  0.750  0.000  1.0
  V  V7  1  0.250  0.250  1.000  1.0
  V  V8  1  0.004  0.500  0.003  1.0
  V  V9  1  0.496  1.000  0.997  1.0
  Cr  Cr10  1  0.750  0.750  0.500  1.0
  Cr  Cr11  1  0.250  0.250  0.500  1.0
  O  O12  1  0.095  0.625  0.788  1.0
  O  O13  1  0.619  0.125  0.785  1.0
  O  O14  1  0.405  0.875  0.212  1.0
  O  O15  1  0.881  0.375  0.215  1.0
  O  O16  1  0.885  0.855  0.223  1.0
  O  O17  1  0.391  0.356  0.223  1.0
  O  O18  1  0.100  0.626  0.240  1.0
  O  O19  1  0.610  0.135  0.234  1.0
  O  O20  1  0.654  0.635  0.236  1.0
  O  O21  1  0.163  0.125  0.238  1.0
  O  O22  1  0.846  0.865  0.765  1.0
  O  O23  1  0.337  0.375  0.762  1.0
  O  O24  1  0.400  0.874  0.760  1.0
  O  O25  1  0.890  0.365  0.766  1.0
  O  O26  1  0.615  0.645  0.777  1.0
  O  O27  1  0.109  0.144  0.777  1.0
[/CIF]
.
The compound described by Li2V3CrO8 is Spinel-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(4), one O(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(6), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are five inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the second V site, V(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(4)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. In the third V site, V(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form VO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the fourth V site, V(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. In the fifth V site, V(5) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form VO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(5)O6 octahedra. In the second Cr site, Cr(2) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent V(5)O6 octahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(1), one V(3), and one V(5) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(2), one V(4), and one V(5) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(1), one V(3), and one Cr(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(2), one V(4), and one Cr(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), one V(5), and one Cr(1) atom. In the sixth O site, O(6) is bonded to one Li(2), one V(2), one V(5), and one Cr(2) atom to form distorted corner-sharing OLiV2Cr trigonal pyramids. In the seventh O site, O(7) is bonded to one Li(1), one V(3), one V(5), and one Cr(1) atom to form distorted corner-sharing OLiV2Cr trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(4), one V(5), and one Cr(2) atom. is represented by the CIF file [CIF]
data_Li2V3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.064
_cell_length_b   10.133
_cell_length_c   5.960
_cell_angle_alpha   105.176
_cell_angle_beta   59.410
_cell_angle_gamma   90.008
_symmetry_Int_Tables_number   1
_cell_volume   300.312
_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  0.312  0.560  0.371  1.0
  Li  Li1  1  0.819  0.060  0.368  1.0
  Li  Li2  1  0.188  0.940  0.629  1.0
  Li  Li3  1  0.681  0.440  0.632  1.0
  V  V4  1  0.250  0.750  1.000  1.0
  V  V5  1  0.750  0.250  1.000  1.0
  V  V6  1  0.750  0.750  0.000  1.0
  V  V7  1  0.250  0.250  1.000  1.0
  V  V8  1  0.004  0.500  0.003  1.0
  V  V9  1  0.496  1.000  0.997  1.0
  Cr  Cr10  1  0.750  0.750  0.500  1.0
  Cr  Cr11  1  0.250  0.250  0.500  1.0
  O  O12  1  0.095  0.625  0.788  1.0
  O  O13  1  0.619  0.125  0.785  1.0
  O  O14  1  0.405  0.875  0.212  1.0
  O  O15  1  0.881  0.375  0.215  1.0
  O  O16  1  0.885  0.855  0.223  1.0
  O  O17  1  0.391  0.356  0.223  1.0
  O  O18  1  0.100  0.626  0.240  1.0
  O  O19  1  0.610  0.135  0.234  1.0
  O  O20  1  0.654  0.635  0.236  1.0
  O  O21  1  0.163  0.125  0.238  1.0
  O  O22  1  0.846  0.865  0.765  1.0
  O  O23  1  0.337  0.375  0.762  1.0
  O  O24  1  0.400  0.874  0.760  1.0
  O  O25  1  0.890  0.365  0.766  1.0
  O  O26  1  0.615  0.645  0.777  1.0
  O  O27  1  0.109  0.144  0.777  1.0
[/CIF]
.