The crystal structure described by Li4VCr3O8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(4), one O(7), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with three equivalent V(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Li site, Li(2) is bonded to one O(1), one O(6), one O(7), one O(8), and two equivalent O(3) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the third Li site, Li(3) is bonded to one O(2), one O(5), one O(6), one O(7), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(3), one O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. V(1) 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  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with four equivalent Li(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the third Cr site, Cr(3) is bonded to one O(1), one O(6), two equivalent O(3), and two equivalent O(8) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the fourth Cr site, Cr(4) is bonded to two equivalent O(4), two equivalent O(5), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four 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 Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with four equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(4), one V(1), one Cr(1), and one Cr(3) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(5)Li3VCr2 octahedra,  a cornercorner with one O(6)Li3VCr2 octahedra, corners with two equivalent O(7)Li3VCr2 octahedra, corners with two equivalent O(8)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(7)Li3VCr2 octahedra, edges with two equivalent O(2)Li3VCr2 octahedra, edges with two equivalent O(6)Li3VCr2 octahedra, edges with two equivalent O(8)Li3VCr2 octahedra, and edges with three equivalent O(3)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(1), one Li(3), one Li(4), one V(1), one Cr(1), and one Cr(2) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(2)Li3VCr2 octahedra,  a cornercorner with one O(8)Li3VCr2 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra, corners with two equivalent O(6)Li3VCr2 octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3VCr2 octahedra,  an edgeedge with one O(8)Li3VCr2 octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, edges with two equivalent O(1)Li3VCr2 octahedra, edges with two equivalent O(7)Li3VCr2 octahedra, and edges with three equivalent O(5)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(4), two equivalent Li(2), one Cr(1), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3VCr2 octahedra, corners with two equivalent O(6)Li3VCr2 octahedra, corners with two equivalent O(8)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra,  an edgeedge with one O(7)Li3VCr2 octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(6)Li3VCr2 octahedra, edges with three equivalent O(1)Li3VCr2 octahedra, and edges with three equivalent O(8)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(1), two equivalent Li(3), one Cr(1), one Cr(2), and one Cr(4) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3VCr2 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra, corners with two equivalent O(2)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3VCr2 octahedra,  an edgeedge with one O(6)Li3VCr2 octahedra, edges with two equivalent O(2)Li3VCr2 octahedra, edges with three equivalent O(7)Li3VCr2 octahedra, and edges with four equivalent O(5)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth O site, O(5) is bonded to one Li(3), two equivalent Li(1), one V(1), one Cr(2), and one Cr(4) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(1)Li3VCr2 octahedra,  a cornercorner with one O(8)Li3VCr2 octahedra, corners with two equivalent O(5)Li3VCr2 octahedra, corners with two equivalent O(7)Li3VCr2 octahedra,  an edgeedge with one O(1)Li3VCr2 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(6)Li3VCr2 octahedra, edges with two equivalent O(7)Li3VCr2 octahedra, edges with three equivalent O(2)Li3VCr2 octahedra, and edges with four equivalent O(4)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one V(1), one Cr(1), and one Cr(3) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(1)Li3VCr2 octahedra, corners with two equivalent O(3)Li3Cr3 octahedra, corners with two equivalent O(2)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(1)Li3VCr2 octahedra, edges with two equivalent O(7)Li3VCr2 octahedra, and edges with three equivalent O(8)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one Cr(1), and one Cr(4) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3VCr2 octahedra, corners with two equivalent O(1)Li3VCr2 octahedra, corners with two equivalent O(5)Li3VCr2 octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3VCr2 octahedra,  an edgeedge with one O(8)Li3VCr2 octahedra, edges with two equivalent O(2)Li3VCr2 octahedra, edges with two equivalent O(5)Li3VCr2 octahedra, edges with two equivalent O(6)Li3VCr2 octahedra, and edges with three equivalent O(4)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded to one Li(2), two equivalent Li(4), one V(1), and two equivalent Cr(3) atoms to form OLi3VCr2 octahedra that share  a cornercorner with one O(2)Li3VCr2 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra, corners with two equivalent O(3)Li3Cr3 octahedra, corners with two equivalent O(1)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra,  an edgeedge with one O(7)Li3VCr2 octahedra, edges with two equivalent O(1)Li3VCr2 octahedra, edges with two equivalent O(8)Li3VCr2 octahedra, edges with three equivalent O(3)Li3Cr3 octahedra, and edges with three equivalent O(6)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4VCr3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.139
_cell_length_b   5.961
_cell_length_c   10.707
_cell_angle_alpha   98.110
_cell_angle_beta   103.687
_cell_angle_gamma   106.915
_symmetry_Int_Tables_number   1
_cell_volume   297.052
_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  0.872  0.311  0.875  1.0
  Li  Li1  1  0.628  0.939  0.625  1.0
  Li  Li2  1  0.128  0.689  0.125  1.0
  Li  Li3  1  0.372  0.061  0.375  1.0
  Li  Li4  1  0.875  0.813  0.875  1.0
  Li  Li5  1  0.626  0.437  0.625  1.0
  Li  Li6  1  0.125  0.187  0.125  1.0
  Li  Li7  1  0.374  0.563  0.375  1.0
  V  V8  1  0.250  0.625  0.750  1.0
  V  V9  1  0.750  0.375  0.250  1.0
  Cr  Cr10  1  0.250  0.125  0.750  1.0
  Cr  Cr11  1  0.500  0.500  0.000  1.0
  Cr  Cr12  1  0.750  0.875  0.250  1.0
  Cr  Cr13  1  0.000  0.249  0.500  1.0
  Cr  Cr14  1  0.500  0.000  0.000  1.0
  Cr  Cr15  1  1.000  0.751  0.500  1.0
  O  O16  1  0.041  0.716  0.314  1.0
  O  O17  1  0.456  0.538  0.185  1.0
  O  O18  1  0.544  0.462  0.815  1.0
  O  O19  1  0.959  0.284  0.686  1.0
  O  O20  1  0.711  0.911  0.436  1.0
  O  O21  1  0.289  0.089  0.564  1.0
  O  O22  1  0.789  0.839  0.064  1.0
  O  O23  1  0.210  0.661  0.936  1.0
  O  O24  1  0.044  0.212  0.315  1.0
  O  O25  1  0.459  0.034  0.185  1.0
  O  O26  1  0.541  0.966  0.815  1.0
  O  O27  1  0.956  0.788  0.685  1.0
  O  O28  1  0.290  0.589  0.563  1.0
  O  O29  1  0.790  0.339  0.064  1.0
  O  O30  1  0.710  0.411  0.437  1.0
  O  O31  1  0.211  0.161  0.936  1.0
[/CIF]
.
The crystal structure described by Li4VCr3O8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(4), one O(7), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with three equivalent V(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Li site, Li(2) is bonded to one O(1), one O(6), one O(7), one O(8), and two equivalent O(3) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the third Li site, Li(3) is bonded to one O(2), one O(5), one O(6), one O(7), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(3), one O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. V(1) 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  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with four equivalent Li(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the third Cr site, Cr(3) is bonded to one O(1), one O(6), two equivalent O(3), and two equivalent O(8) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the fourth Cr site, Cr(4) is bonded to two equivalent O(4), two equivalent O(5), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four 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 Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with four equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(4), one V(1), one Cr(1), and one Cr(3) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(5)Li3VCr2 octahedra,  a cornercorner with one O(6)Li3VCr2 octahedra, corners with two equivalent O(7)Li3VCr2 octahedra, corners with two equivalent O(8)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(7)Li3VCr2 octahedra, edges with two equivalent O(2)Li3VCr2 octahedra, edges with two equivalent O(6)Li3VCr2 octahedra, edges with two equivalent O(8)Li3VCr2 octahedra, and edges with three equivalent O(3)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(1), one Li(3), one Li(4), one V(1), one Cr(1), and one Cr(2) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(2)Li3VCr2 octahedra,  a cornercorner with one O(8)Li3VCr2 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra, corners with two equivalent O(6)Li3VCr2 octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3VCr2 octahedra,  an edgeedge with one O(8)Li3VCr2 octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, edges with two equivalent O(1)Li3VCr2 octahedra, edges with two equivalent O(7)Li3VCr2 octahedra, and edges with three equivalent O(5)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(4), two equivalent Li(2), one Cr(1), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3VCr2 octahedra, corners with two equivalent O(6)Li3VCr2 octahedra, corners with two equivalent O(8)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra,  an edgeedge with one O(7)Li3VCr2 octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(6)Li3VCr2 octahedra, edges with three equivalent O(1)Li3VCr2 octahedra, and edges with three equivalent O(8)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(1), two equivalent Li(3), one Cr(1), one Cr(2), and one Cr(4) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3VCr2 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra, corners with two equivalent O(2)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3VCr2 octahedra,  an edgeedge with one O(6)Li3VCr2 octahedra, edges with two equivalent O(2)Li3VCr2 octahedra, edges with three equivalent O(7)Li3VCr2 octahedra, and edges with four equivalent O(5)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth O site, O(5) is bonded to one Li(3), two equivalent Li(1), one V(1), one Cr(2), and one Cr(4) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(1)Li3VCr2 octahedra,  a cornercorner with one O(8)Li3VCr2 octahedra, corners with two equivalent O(5)Li3VCr2 octahedra, corners with two equivalent O(7)Li3VCr2 octahedra,  an edgeedge with one O(1)Li3VCr2 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(6)Li3VCr2 octahedra, edges with two equivalent O(7)Li3VCr2 octahedra, edges with three equivalent O(2)Li3VCr2 octahedra, and edges with four equivalent O(4)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one V(1), one Cr(1), and one Cr(3) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(1)Li3VCr2 octahedra, corners with two equivalent O(3)Li3Cr3 octahedra, corners with two equivalent O(2)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(1)Li3VCr2 octahedra, edges with two equivalent O(7)Li3VCr2 octahedra, and edges with three equivalent O(8)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one Cr(1), and one Cr(4) atom to form OLi3VCr2 octahedra that share  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3VCr2 octahedra, corners with two equivalent O(1)Li3VCr2 octahedra, corners with two equivalent O(5)Li3VCr2 octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3VCr2 octahedra,  an edgeedge with one O(8)Li3VCr2 octahedra, edges with two equivalent O(2)Li3VCr2 octahedra, edges with two equivalent O(5)Li3VCr2 octahedra, edges with two equivalent O(6)Li3VCr2 octahedra, and edges with three equivalent O(4)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded to one Li(2), two equivalent Li(4), one V(1), and two equivalent Cr(3) atoms to form OLi3VCr2 octahedra that share  a cornercorner with one O(2)Li3VCr2 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra, corners with two equivalent O(3)Li3Cr3 octahedra, corners with two equivalent O(1)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra,  an edgeedge with one O(7)Li3VCr2 octahedra, edges with two equivalent O(1)Li3VCr2 octahedra, edges with two equivalent O(8)Li3VCr2 octahedra, edges with three equivalent O(3)Li3Cr3 octahedra, and edges with three equivalent O(6)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4VCr3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.139
_cell_length_b   5.961
_cell_length_c   10.707
_cell_angle_alpha   98.110
_cell_angle_beta   103.687
_cell_angle_gamma   106.915
_symmetry_Int_Tables_number   1
_cell_volume   297.052
_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  0.872  0.311  0.875  1.0
  Li  Li1  1  0.628  0.939  0.625  1.0
  Li  Li2  1  0.128  0.689  0.125  1.0
  Li  Li3  1  0.372  0.061  0.375  1.0
  Li  Li4  1  0.875  0.813  0.875  1.0
  Li  Li5  1  0.626  0.437  0.625  1.0
  Li  Li6  1  0.125  0.187  0.125  1.0
  Li  Li7  1  0.374  0.563  0.375  1.0
  V  V8  1  0.250  0.625  0.750  1.0
  V  V9  1  0.750  0.375  0.250  1.0
  Cr  Cr10  1  0.250  0.125  0.750  1.0
  Cr  Cr11  1  0.500  0.500  0.000  1.0
  Cr  Cr12  1  0.750  0.875  0.250  1.0
  Cr  Cr13  1  0.000  0.249  0.500  1.0
  Cr  Cr14  1  0.500  0.000  0.000  1.0
  Cr  Cr15  1  1.000  0.751  0.500  1.0
  O  O16  1  0.041  0.716  0.314  1.0
  O  O17  1  0.456  0.538  0.185  1.0
  O  O18  1  0.544  0.462  0.815  1.0
  O  O19  1  0.959  0.284  0.686  1.0
  O  O20  1  0.711  0.911  0.436  1.0
  O  O21  1  0.289  0.089  0.564  1.0
  O  O22  1  0.789  0.839  0.064  1.0
  O  O23  1  0.210  0.661  0.936  1.0
  O  O24  1  0.044  0.212  0.315  1.0
  O  O25  1  0.459  0.034  0.185  1.0
  O  O26  1  0.541  0.966  0.815  1.0
  O  O27  1  0.956  0.788  0.685  1.0
  O  O28  1  0.290  0.589  0.563  1.0
  O  O29  1  0.790  0.339  0.064  1.0
  O  O30  1  0.710  0.411  0.437  1.0
  O  O31  1  0.211  0.161  0.936  1.0
[/CIF]
.