The compound described by Li4V3Cr3O12 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(2), one O(4), one O(5), one O(6), and two equivalent O(1) atoms to form LiO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with four equivalent V(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the second Li site, Li(2) is bonded to one O(2), one O(4), one O(5), one O(6), and two equivalent O(3) atoms to form LiO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(1)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,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-12°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(2), one O(3), one O(6), and two equivalent O(5) atoms to form VO6 octahedra that share corners with four equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the second V site, V(2) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with four equivalent Li(1)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 four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(6), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with four equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)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 V(2)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)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 range from 11-12°. There are six inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one V(1), one V(2), and one Cr(1) atom to form OLi2V2Cr square pyramids that share  a cornercorner with one O(1)Li2V2Cr square pyramid, corners with two equivalent O(5)Li2V2Cr square pyramids, corners with two equivalent O(6)Li2V2Cr square pyramids, corners with two equivalent O(2)Li2VCr2 square pyramids, corners with two equivalent O(4)Li2VCr2 square pyramids,  an edgeedge with one O(1)Li2V2Cr square pyramid,  an edgeedge with one O(5)Li2V2Cr square pyramid,  an edgeedge with one O(2)Li2VCr2 square pyramid,  an edgeedge with one O(3)Li2VCr2 square pyramid, edges with two equivalent O(6)Li2V2Cr square pyramids, and edges with two equivalent O(4)Li2VCr2 square pyramids. In the second O site, O(2) is bonded to one Li(1), one Li(2), one V(1), one Cr(1), and one Cr(2) atom to form OLi2VCr2 square pyramids that share  a cornercorner with one O(2)Li2VCr2 square pyramid, corners with two equivalent O(1)Li2V2Cr square pyramids, corners with two equivalent O(3)Li2VCr2 square pyramids, corners with four equivalent O(4)Li2VCr2 square pyramids,  an edgeedge with one O(1)Li2V2Cr square pyramid, edges with two equivalent O(6)Li2V2Cr square pyramids, edges with two equivalent O(3)Li2VCr2 square pyramids, and edges with three equivalent O(5)Li2V2Cr square pyramids. In the third O site, O(3) is bonded to two equivalent Li(2), one V(1), one Cr(1), and one Cr(2) atom to form OLi2VCr2 square pyramids that share  a cornercorner with one O(3)Li2VCr2 square pyramid, corners with two equivalent O(5)Li2V2Cr square pyramids, corners with two equivalent O(6)Li2V2Cr square pyramids, corners with two equivalent O(2)Li2VCr2 square pyramids, corners with two equivalent O(4)Li2VCr2 square pyramids,  an edgeedge with one O(1)Li2V2Cr square pyramid,  an edgeedge with one O(6)Li2V2Cr square pyramid,  an edgeedge with one O(3)Li2VCr2 square pyramid,  an edgeedge with one O(4)Li2VCr2 square pyramid, edges with two equivalent O(5)Li2V2Cr square pyramids, and edges with two equivalent O(2)Li2VCr2 square pyramids. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one V(2), and two equivalent Cr(1) atoms to form OLi2VCr2 square pyramids that share  a cornercorner with one O(4)Li2VCr2 square pyramid, corners with two equivalent O(1)Li2V2Cr square pyramids, corners with two equivalent O(3)Li2VCr2 square pyramids, corners with four equivalent O(2)Li2VCr2 square pyramids,  an edgeedge with one O(5)Li2V2Cr square pyramid,  an edgeedge with one O(3)Li2VCr2 square pyramid,  an edgeedge with one O(4)Li2VCr2 square pyramid, edges with two equivalent O(1)Li2V2Cr square pyramids, and edges with three equivalent O(6)Li2V2Cr square pyramids. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), two equivalent V(1), and one Cr(2) atom to form OLi2V2Cr square pyramids that share  a cornercorner with one O(5)Li2V2Cr square pyramid, corners with two equivalent O(1)Li2V2Cr square pyramids, corners with two equivalent O(3)Li2VCr2 square pyramids, corners with four equivalent O(6)Li2V2Cr square pyramids,  an edgeedge with one O(1)Li2V2Cr square pyramid,  an edgeedge with one O(5)Li2V2Cr square pyramid,  an edgeedge with one O(4)Li2VCr2 square pyramid, edges with two equivalent O(3)Li2VCr2 square pyramids, and edges with three equivalent O(2)Li2VCr2 square pyramids. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one V(1), one V(2), and one Cr(1) atom to form OLi2V2Cr square pyramids that share  a cornercorner with one O(6)Li2V2Cr square pyramid, corners with two equivalent O(1)Li2V2Cr square pyramids, corners with two equivalent O(3)Li2VCr2 square pyramids, corners with four equivalent O(5)Li2V2Cr square pyramids,  an edgeedge with one O(3)Li2VCr2 square pyramid, edges with two equivalent O(1)Li2V2Cr square pyramids, edges with two equivalent O(2)Li2VCr2 square pyramids, and edges with three equivalent O(4)Li2VCr2 square pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4V3Cr3O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.175
_cell_length_b   6.003
_cell_length_c   7.877
_cell_angle_alpha   78.173
_cell_angle_beta   77.917
_cell_angle_gamma   72.892
_symmetry_Int_Tables_number   1
_cell_volume   226.022
_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  0.496  0.834  0.165  1.0
  Li  Li1  1  0.504  0.166  0.835  1.0
  Li  Li2  1  0.002  0.666  0.335  1.0
  Li  Li3  1  0.998  0.334  0.665  1.0
  V  V4  1  0.001  0.830  0.674  1.0
  V  V5  1  0.000  0.500  0.000  1.0
  V  V6  1  0.999  0.170  0.326  1.0
  Cr  Cr7  1  0.496  0.669  0.833  1.0
  Cr  Cr8  1  0.504  0.331  0.167  1.0
  Cr  Cr9  1  0.500  0.000  0.500  1.0
  O  O10  1  0.750  0.817  0.903  1.0
  O  O11  1  0.259  0.984  0.732  1.0
  O  O12  1  0.752  0.690  0.598  1.0
  O  O13  1  0.735  0.362  0.925  1.0
  O  O14  1  0.225  0.869  0.422  1.0
  O  O15  1  0.229  0.527  0.755  1.0
  O  O16  1  0.771  0.473  0.245  1.0
  O  O17  1  0.775  0.131  0.578  1.0
  O  O18  1  0.265  0.638  0.075  1.0
  O  O19  1  0.248  0.310  0.402  1.0
  O  O20  1  0.741  0.016  0.268  1.0
  O  O21  1  0.250  0.183  0.097  1.0
[/CIF]
.
The compound described by Li4V3Cr3O12 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(2), one O(4), one O(5), one O(6), and two equivalent O(1) atoms to form LiO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with four equivalent V(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the second Li site, Li(2) is bonded to one O(2), one O(4), one O(5), one O(6), and two equivalent O(3) atoms to form LiO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(1)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,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-12°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(2), one O(3), one O(6), and two equivalent O(5) atoms to form VO6 octahedra that share corners with four equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the second V site, V(2) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with four equivalent Li(1)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 four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(6), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with four equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)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 V(2)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)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 range from 11-12°. There are six inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one V(1), one V(2), and one Cr(1) atom to form OLi2V2Cr square pyramids that share  a cornercorner with one O(1)Li2V2Cr square pyramid, corners with two equivalent O(5)Li2V2Cr square pyramids, corners with two equivalent O(6)Li2V2Cr square pyramids, corners with two equivalent O(2)Li2VCr2 square pyramids, corners with two equivalent O(4)Li2VCr2 square pyramids,  an edgeedge with one O(1)Li2V2Cr square pyramid,  an edgeedge with one O(5)Li2V2Cr square pyramid,  an edgeedge with one O(2)Li2VCr2 square pyramid,  an edgeedge with one O(3)Li2VCr2 square pyramid, edges with two equivalent O(6)Li2V2Cr square pyramids, and edges with two equivalent O(4)Li2VCr2 square pyramids. In the second O site, O(2) is bonded to one Li(1), one Li(2), one V(1), one Cr(1), and one Cr(2) atom to form OLi2VCr2 square pyramids that share  a cornercorner with one O(2)Li2VCr2 square pyramid, corners with two equivalent O(1)Li2V2Cr square pyramids, corners with two equivalent O(3)Li2VCr2 square pyramids, corners with four equivalent O(4)Li2VCr2 square pyramids,  an edgeedge with one O(1)Li2V2Cr square pyramid, edges with two equivalent O(6)Li2V2Cr square pyramids, edges with two equivalent O(3)Li2VCr2 square pyramids, and edges with three equivalent O(5)Li2V2Cr square pyramids. In the third O site, O(3) is bonded to two equivalent Li(2), one V(1), one Cr(1), and one Cr(2) atom to form OLi2VCr2 square pyramids that share  a cornercorner with one O(3)Li2VCr2 square pyramid, corners with two equivalent O(5)Li2V2Cr square pyramids, corners with two equivalent O(6)Li2V2Cr square pyramids, corners with two equivalent O(2)Li2VCr2 square pyramids, corners with two equivalent O(4)Li2VCr2 square pyramids,  an edgeedge with one O(1)Li2V2Cr square pyramid,  an edgeedge with one O(6)Li2V2Cr square pyramid,  an edgeedge with one O(3)Li2VCr2 square pyramid,  an edgeedge with one O(4)Li2VCr2 square pyramid, edges with two equivalent O(5)Li2V2Cr square pyramids, and edges with two equivalent O(2)Li2VCr2 square pyramids. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one V(2), and two equivalent Cr(1) atoms to form OLi2VCr2 square pyramids that share  a cornercorner with one O(4)Li2VCr2 square pyramid, corners with two equivalent O(1)Li2V2Cr square pyramids, corners with two equivalent O(3)Li2VCr2 square pyramids, corners with four equivalent O(2)Li2VCr2 square pyramids,  an edgeedge with one O(5)Li2V2Cr square pyramid,  an edgeedge with one O(3)Li2VCr2 square pyramid,  an edgeedge with one O(4)Li2VCr2 square pyramid, edges with two equivalent O(1)Li2V2Cr square pyramids, and edges with three equivalent O(6)Li2V2Cr square pyramids. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), two equivalent V(1), and one Cr(2) atom to form OLi2V2Cr square pyramids that share  a cornercorner with one O(5)Li2V2Cr square pyramid, corners with two equivalent O(1)Li2V2Cr square pyramids, corners with two equivalent O(3)Li2VCr2 square pyramids, corners with four equivalent O(6)Li2V2Cr square pyramids,  an edgeedge with one O(1)Li2V2Cr square pyramid,  an edgeedge with one O(5)Li2V2Cr square pyramid,  an edgeedge with one O(4)Li2VCr2 square pyramid, edges with two equivalent O(3)Li2VCr2 square pyramids, and edges with three equivalent O(2)Li2VCr2 square pyramids. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one V(1), one V(2), and one Cr(1) atom to form OLi2V2Cr square pyramids that share  a cornercorner with one O(6)Li2V2Cr square pyramid, corners with two equivalent O(1)Li2V2Cr square pyramids, corners with two equivalent O(3)Li2VCr2 square pyramids, corners with four equivalent O(5)Li2V2Cr square pyramids,  an edgeedge with one O(3)Li2VCr2 square pyramid, edges with two equivalent O(1)Li2V2Cr square pyramids, edges with two equivalent O(2)Li2VCr2 square pyramids, and edges with three equivalent O(4)Li2VCr2 square pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4V3Cr3O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.175
_cell_length_b   6.003
_cell_length_c   7.877
_cell_angle_alpha   78.173
_cell_angle_beta   77.917
_cell_angle_gamma   72.892
_symmetry_Int_Tables_number   1
_cell_volume   226.022
_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  0.496  0.834  0.165  1.0
  Li  Li1  1  0.504  0.166  0.835  1.0
  Li  Li2  1  0.002  0.666  0.335  1.0
  Li  Li3  1  0.998  0.334  0.665  1.0
  V  V4  1  0.001  0.830  0.674  1.0
  V  V5  1  0.000  0.500  0.000  1.0
  V  V6  1  0.999  0.170  0.326  1.0
  Cr  Cr7  1  0.496  0.669  0.833  1.0
  Cr  Cr8  1  0.504  0.331  0.167  1.0
  Cr  Cr9  1  0.500  0.000  0.500  1.0
  O  O10  1  0.750  0.817  0.903  1.0
  O  O11  1  0.259  0.984  0.732  1.0
  O  O12  1  0.752  0.690  0.598  1.0
  O  O13  1  0.735  0.362  0.925  1.0
  O  O14  1  0.225  0.869  0.422  1.0
  O  O15  1  0.229  0.527  0.755  1.0
  O  O16  1  0.771  0.473  0.245  1.0
  O  O17  1  0.775  0.131  0.578  1.0
  O  O18  1  0.265  0.638  0.075  1.0
  O  O19  1  0.248  0.310  0.402  1.0
  O  O20  1  0.741  0.016  0.268  1.0
  O  O21  1  0.250  0.183  0.097  1.0
[/CIF]
.