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(6), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(6)O6 octahedra, and corners with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(6)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent V(5)O6 octahedra, and corners with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are six inequivalent V sites. In the first V site, V(1) 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(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(6)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(8) 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(6)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the third V site, V(3) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) 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(1)O6 octahedra. In the fourth V site, V(4) 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(1)O4 tetrahedra, corners with four equivalent Li(2)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 fifth V site, V(5) 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(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the sixth V site, V(6) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) 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(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. Cr(1) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form CrO6 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 V(5)O6 octahedra, and  an edgeedge with one V(6)O6 octahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one V(3), one V(4), and one V(5) atom to form distorted OLiV3 trigonal pyramids that share corners with two equivalent O(7)LiV2Cr trigonal pyramids, corners with three equivalent O(1)LiV3 trigonal pyramids, and  an edgeedge with one O(7)LiV2Cr trigonal pyramid. In the second O site, O(2) is bonded to one Li(2), one V(1), one V(2), and one V(6) atom to form distorted OLiV3 trigonal pyramids that share  a cornercorner with one O(7)LiV2Cr trigonal pyramid and corners with three equivalent O(2)LiV3 trigonal pyramids. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(4), one V(5), 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(1), one V(2), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(3), one V(4), and one Cr(1) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(1), one V(6), and one Cr(1) atom. In the seventh O site, O(7) is bonded to one Li(2), one V(3), one V(5), and one Cr(1) atom to form distorted OLiV2Cr trigonal pyramids that share  a cornercorner with one O(2)LiV3 trigonal pyramid, corners with two equivalent O(7)LiV2Cr trigonal pyramids, corners with two equivalent O(1)LiV3 trigonal pyramids, and  an edgeedge with one O(1)LiV3 trigonal pyramid. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(2), one V(6), and one Cr(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2V3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.929
_cell_length_b   5.943
_cell_length_c   5.966
_cell_angle_alpha   60.164
_cell_angle_beta   60.505
_cell_angle_gamma   89.902
_symmetry_Int_Tables_number   1
_cell_volume   150.260
_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
  Cr  Cr0  1  0.500  0.500  1.000  1.0
  Li  Li1  1  0.374  0.125  0.749  1.0
  Li  Li2  1  0.626  0.875  0.251  1.0
  O  O3  1  0.786  0.265  0.470  1.0
  O  O4  1  0.214  0.735  0.530  1.0
  O  O5  1  0.234  0.263  0.475  1.0
  O  O6  1  0.230  0.712  0.023  1.0
  O  O7  1  0.231  0.264  0.024  1.0
  O  O8  1  0.769  0.736  0.976  1.0
  O  O9  1  0.770  0.288  0.977  1.0
  O  O10  1  0.766  0.737  0.525  1.0
  V  V11  1  0.000  0.500  0.500  1.0
  V  V12  1  1.000  0.000  0.500  1.0
  V  V13  1  1.000  0.500  0.000  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(6), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(6)O6 octahedra, and corners with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(6)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent V(5)O6 octahedra, and corners with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are six inequivalent V sites. In the first V site, V(1) 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(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(6)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(8) 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(6)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the third V site, V(3) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) 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(1)O6 octahedra. In the fourth V site, V(4) 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(1)O4 tetrahedra, corners with four equivalent Li(2)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 fifth V site, V(5) 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(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the sixth V site, V(6) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) 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(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. Cr(1) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form CrO6 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 V(5)O6 octahedra, and  an edgeedge with one V(6)O6 octahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one V(3), one V(4), and one V(5) atom to form distorted OLiV3 trigonal pyramids that share corners with two equivalent O(7)LiV2Cr trigonal pyramids, corners with three equivalent O(1)LiV3 trigonal pyramids, and  an edgeedge with one O(7)LiV2Cr trigonal pyramid. In the second O site, O(2) is bonded to one Li(2), one V(1), one V(2), and one V(6) atom to form distorted OLiV3 trigonal pyramids that share  a cornercorner with one O(7)LiV2Cr trigonal pyramid and corners with three equivalent O(2)LiV3 trigonal pyramids. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(4), one V(5), 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(1), one V(2), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(3), one V(4), and one Cr(1) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(1), one V(6), and one Cr(1) atom. In the seventh O site, O(7) is bonded to one Li(2), one V(3), one V(5), and one Cr(1) atom to form distorted OLiV2Cr trigonal pyramids that share  a cornercorner with one O(2)LiV3 trigonal pyramid, corners with two equivalent O(7)LiV2Cr trigonal pyramids, corners with two equivalent O(1)LiV3 trigonal pyramids, and  an edgeedge with one O(1)LiV3 trigonal pyramid. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(2), one V(6), and one Cr(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2V3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.929
_cell_length_b   5.943
_cell_length_c   5.966
_cell_angle_alpha   60.164
_cell_angle_beta   60.505
_cell_angle_gamma   89.902
_symmetry_Int_Tables_number   1
_cell_volume   150.260
_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
  Cr  Cr0  1  0.500  0.500  1.000  1.0
  Li  Li1  1  0.374  0.125  0.749  1.0
  Li  Li2  1  0.626  0.875  0.251  1.0
  O  O3  1  0.786  0.265  0.470  1.0
  O  O4  1  0.214  0.735  0.530  1.0
  O  O5  1  0.234  0.263  0.475  1.0
  O  O6  1  0.230  0.712  0.023  1.0
  O  O7  1  0.231  0.264  0.024  1.0
  O  O8  1  0.769  0.736  0.976  1.0
  O  O9  1  0.770  0.288  0.977  1.0
  O  O10  1  0.766  0.737  0.525  1.0
  V  V11  1  0.000  0.500  0.500  1.0
  V  V12  1  1.000  0.000  0.500  1.0
  V  V13  1  1.000  0.500  0.000  1.0
[/CIF]
.