The crystal structure described by Li4V3CrO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the second Li site, Li(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form LiO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, edges with two equivalent Li(1)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 four equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the third Li site, Li(3) is bonded to one O(1), one O(3), one O(7), one O(8), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two 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 Li(5)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with three equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the fourth Li site, Li(4) is bonded to one O(2), one O(3), one O(6), one O(7), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)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 Li(5)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the fifth Li site, Li(5) is bonded to two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with four equivalent V(3)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 one O(1), one O(3), one O(4), one O(7), and two equivalent O(2) atoms to form VO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second V site, V(2) is bonded to one O(1), one O(6), one O(7), one O(8), and two equivalent O(4) atoms to form VO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one V(2)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(3)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the third V site, V(3) is bonded to one O(3), one O(5), one O(6), one O(7), and two equivalent O(8) atoms to form VO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. Cr(1) is bonded to one O(1), one O(2), one O(3), one O(6), and two equivalent O(5) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one V(2)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(3)O6 octahedra, and edges with three equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one V(2), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(7)Li3V3 octahedra,  an edgeedge with one O(8)Li3V3 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra, edges with two equivalent O(3)Li3V2Cr octahedra, edges with three equivalent O(2)Li3V2Cr octahedra, and edges with three equivalent O(4)Li3V3 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(2), one Li(4), two equivalent V(1), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(4)Li3V3 octahedra,  an edgeedge with one O(7)Li3V3 octahedra, edges with two equivalent O(5)Li3VCr2 octahedra, edges with three equivalent O(1)Li3V2Cr octahedra, and edges with three equivalent O(3)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(4), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(4)Li3V3 octahedra,  an edgeedge with one O(8)Li3V3 octahedra, edges with two equivalent O(1)Li3V2Cr octahedra, edges with two equivalent O(7)Li3V3 octahedra, edges with two equivalent O(5)Li3VCr2 octahedra, and edges with three equivalent O(2)Li3V2Cr 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 V(1), and two equivalent V(2) atoms to form OLi3V3 octahedra that share  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra, edges with two equivalent O(4)Li3V3 octahedra, edges with two equivalent O(7)Li3V3 octahedra, edges with two equivalent O(8)Li3V3 octahedra, and edges with three equivalent O(1)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth O site, O(5) is bonded to one Li(1), two equivalent Li(4), one V(3), and two equivalent Cr(1) atoms to form OLi3VCr2 octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(7)Li3V3 octahedra,  an edgeedge with one O(8)Li3V3 octahedra, edges with two equivalent O(2)Li3V2Cr octahedra, edges with two equivalent O(3)Li3V2Cr octahedra, edges with two equivalent O(5)Li3VCr2 octahedra, and edges with three equivalent O(6)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the sixth O site, O(6) is bonded to one Li(1), one Li(4), one Li(5), one V(2), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(4)Li3V3 octahedra, edges with two equivalent O(7)Li3V3 octahedra, edges with three equivalent O(8)Li3V3 octahedra, and edges with three equivalent O(5)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the seventh O site, O(7) is bonded to one Li(3), one Li(4), one Li(5), one V(1), one V(2), and one V(3) atom to form OLi3V3 octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra, edges with two equivalent O(3)Li3V2Cr octahedra, edges with two equivalent O(6)Li3V2Cr octahedra, edges with two equivalent O(4)Li3V3 octahedra, and edges with three equivalent O(8)Li3V3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the eighth O site, O(8) is bonded to one Li(1), one Li(3), one Li(5), one V(2), and two equivalent V(3) atoms to form OLi3V3 octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(8)Li3V3 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra, edges with two equivalent O(4)Li3V3 octahedra, edges with three equivalent O(6)Li3V2Cr octahedra, and edges with three equivalent O(7)Li3V3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. is represented by the CIF card [CIF]
data_Li4V3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.186
_cell_length_b   7.911
_cell_length_c   7.920
_cell_angle_alpha   81.722
_cell_angle_beta   83.769
_cell_angle_gamma   70.942
_symmetry_Int_Tables_number   1
_cell_volume   303.251
_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  0.999  0.751  0.748  1.0
  Li  Li1  1  0.000  0.500  0.500  1.0
  Li  Li2  1  0.000  0.624  0.124  1.0
  Li  Li3  1  0.002  0.124  0.623  1.0
  Li  Li4  1  0.001  0.249  0.252  1.0
  Li  Li5  1  1.000  0.376  0.876  1.0
  Li  Li6  1  0.998  0.876  0.377  1.0
  Li  Li7  1  0.000  0.000  0.000  1.0
  V  V8  1  0.499  0.438  0.688  1.0
  V  V9  1  0.501  0.562  0.312  1.0
  V  V10  1  0.500  0.688  0.937  1.0
  V  V11  1  0.500  0.312  0.063  1.0
  V  V12  1  0.499  0.937  0.188  1.0
  V  V13  1  0.501  0.063  0.812  1.0
  Cr  Cr14  1  0.500  0.186  0.438  1.0
  Cr  Cr15  1  0.500  0.814  0.562  1.0
  O  O16  1  0.726  0.602  0.719  1.0
  O  O17  1  0.274  0.653  0.531  1.0
  O  O18  1  0.725  0.724  0.345  1.0
  O  O19  1  0.275  0.276  0.655  1.0
  O  O20  1  0.726  0.347  0.469  1.0
  O  O21  1  0.730  0.471  0.095  1.0
  O  O22  1  0.274  0.398  0.281  1.0
  O  O23  1  0.726  0.974  0.592  1.0
  O  O24  1  0.727  0.098  0.222  1.0
  O  O25  1  0.270  0.529  0.905  1.0
  O  O26  1  0.274  0.026  0.408  1.0
  O  O27  1  0.729  0.223  0.845  1.0
  O  O28  1  0.269  0.152  0.034  1.0
  O  O29  1  0.731  0.848  0.966  1.0
  O  O30  1  0.271  0.777  0.155  1.0
  O  O31  1  0.273  0.902  0.778  1.0
[/CIF]
.
The crystal structure described by Li4V3CrO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the second Li site, Li(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form LiO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, edges with two equivalent Li(1)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 four equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the third Li site, Li(3) is bonded to one O(1), one O(3), one O(7), one O(8), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two 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 Li(5)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with three equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the fourth Li site, Li(4) is bonded to one O(2), one O(3), one O(6), one O(7), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)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 Li(5)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the fifth Li site, Li(5) is bonded to two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with four equivalent V(3)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 one O(1), one O(3), one O(4), one O(7), and two equivalent O(2) atoms to form VO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second V site, V(2) is bonded to one O(1), one O(6), one O(7), one O(8), and two equivalent O(4) atoms to form VO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one V(2)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(3)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the third V site, V(3) is bonded to one O(3), one O(5), one O(6), one O(7), and two equivalent O(8) atoms to form VO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. Cr(1) is bonded to one O(1), one O(2), one O(3), one O(6), and two equivalent O(5) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one V(2)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(3)O6 octahedra, and edges with three equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one V(2), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(7)Li3V3 octahedra,  an edgeedge with one O(8)Li3V3 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra, edges with two equivalent O(3)Li3V2Cr octahedra, edges with three equivalent O(2)Li3V2Cr octahedra, and edges with three equivalent O(4)Li3V3 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(2), one Li(4), two equivalent V(1), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(4)Li3V3 octahedra,  an edgeedge with one O(7)Li3V3 octahedra, edges with two equivalent O(5)Li3VCr2 octahedra, edges with three equivalent O(1)Li3V2Cr octahedra, and edges with three equivalent O(3)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(4), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(4)Li3V3 octahedra,  an edgeedge with one O(8)Li3V3 octahedra, edges with two equivalent O(1)Li3V2Cr octahedra, edges with two equivalent O(7)Li3V3 octahedra, edges with two equivalent O(5)Li3VCr2 octahedra, and edges with three equivalent O(2)Li3V2Cr 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 V(1), and two equivalent V(2) atoms to form OLi3V3 octahedra that share  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra, edges with two equivalent O(4)Li3V3 octahedra, edges with two equivalent O(7)Li3V3 octahedra, edges with two equivalent O(8)Li3V3 octahedra, and edges with three equivalent O(1)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth O site, O(5) is bonded to one Li(1), two equivalent Li(4), one V(3), and two equivalent Cr(1) atoms to form OLi3VCr2 octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(7)Li3V3 octahedra,  an edgeedge with one O(8)Li3V3 octahedra, edges with two equivalent O(2)Li3V2Cr octahedra, edges with two equivalent O(3)Li3V2Cr octahedra, edges with two equivalent O(5)Li3VCr2 octahedra, and edges with three equivalent O(6)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the sixth O site, O(6) is bonded to one Li(1), one Li(4), one Li(5), one V(2), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(4)Li3V3 octahedra, edges with two equivalent O(7)Li3V3 octahedra, edges with three equivalent O(8)Li3V3 octahedra, and edges with three equivalent O(5)Li3VCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the seventh O site, O(7) is bonded to one Li(3), one Li(4), one Li(5), one V(1), one V(2), and one V(3) atom to form OLi3V3 octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(6)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(7)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(2)Li3V2Cr octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra, edges with two equivalent O(3)Li3V2Cr octahedra, edges with two equivalent O(6)Li3V2Cr octahedra, edges with two equivalent O(4)Li3V3 octahedra, and edges with three equivalent O(8)Li3V3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the eighth O site, O(8) is bonded to one Li(1), one Li(3), one Li(5), one V(2), and two equivalent V(3) atoms to form OLi3V3 octahedra that share  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(2)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(4)Li3V3 octahedra,  a cornercorner with one O(8)Li3V3 octahedra,  a cornercorner with one O(5)Li3VCr2 octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(8)Li3V3 octahedra,  an edgeedge with one O(5)Li3VCr2 octahedra, edges with two equivalent O(4)Li3V3 octahedra, edges with three equivalent O(6)Li3V2Cr octahedra, and edges with three equivalent O(7)Li3V3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. is represented by the CIF card [CIF]
data_Li4V3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.186
_cell_length_b   7.911
_cell_length_c   7.920
_cell_angle_alpha   81.722
_cell_angle_beta   83.769
_cell_angle_gamma   70.942
_symmetry_Int_Tables_number   1
_cell_volume   303.251
_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  0.999  0.751  0.748  1.0
  Li  Li1  1  0.000  0.500  0.500  1.0
  Li  Li2  1  0.000  0.624  0.124  1.0
  Li  Li3  1  0.002  0.124  0.623  1.0
  Li  Li4  1  0.001  0.249  0.252  1.0
  Li  Li5  1  1.000  0.376  0.876  1.0
  Li  Li6  1  0.998  0.876  0.377  1.0
  Li  Li7  1  0.000  0.000  0.000  1.0
  V  V8  1  0.499  0.438  0.688  1.0
  V  V9  1  0.501  0.562  0.312  1.0
  V  V10  1  0.500  0.688  0.937  1.0
  V  V11  1  0.500  0.312  0.063  1.0
  V  V12  1  0.499  0.937  0.188  1.0
  V  V13  1  0.501  0.063  0.812  1.0
  Cr  Cr14  1  0.500  0.186  0.438  1.0
  Cr  Cr15  1  0.500  0.814  0.562  1.0
  O  O16  1  0.726  0.602  0.719  1.0
  O  O17  1  0.274  0.653  0.531  1.0
  O  O18  1  0.725  0.724  0.345  1.0
  O  O19  1  0.275  0.276  0.655  1.0
  O  O20  1  0.726  0.347  0.469  1.0
  O  O21  1  0.730  0.471  0.095  1.0
  O  O22  1  0.274  0.398  0.281  1.0
  O  O23  1  0.726  0.974  0.592  1.0
  O  O24  1  0.727  0.098  0.222  1.0
  O  O25  1  0.270  0.529  0.905  1.0
  O  O26  1  0.274  0.026  0.408  1.0
  O  O27  1  0.729  0.223  0.845  1.0
  O  O28  1  0.269  0.152  0.034  1.0
  O  O29  1  0.731  0.848  0.966  1.0
  O  O30  1  0.271  0.777  0.155  1.0
  O  O31  1  0.273  0.902  0.778  1.0
[/CIF]
.