The structure described by Li5V5Cr2O12 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(3)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,  an edgeedge with one Cr(2)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(3)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,  an edgeedge with one Cr(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-9°. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent V(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-3°. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form VO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(3)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,  an edgeedge with one Cr(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-8°. 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)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent V(4)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the third V site, V(3) 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)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the fourth V site, V(4) 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)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent V(2)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent V(2)O6 octahedra, and edges with three equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. There are six inequivalent O sites. In the first O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(2)Li2V3Cr octahedra,  an edgeedge with one O(4)Li2V3Cr octahedra,  an edgeedge with one O(6)Li2V3Cr octahedra,  an edgeedge with one O(5)Li3V2Cr octahedra, edges with four equivalent O(1)Li3V2Cr octahedra, and edges with four equivalent O(3)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the second O site, O(6) is bonded to one Li(1), one Li(2), one V(1), one V(2), one V(4), and one Cr(2) atom to form OLi2V3Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(6)Li2V3Cr octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(5)Li3V2Cr octahedra, edges with four equivalent O(2)Li2V3Cr octahedra, and edges with four equivalent O(4)Li2V3Cr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the third O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(2)Li2V3Cr octahedra,  an edgeedge with one O(4)Li2V3Cr octahedra,  an edgeedge with one O(6)Li2V3Cr octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra, edges with four equivalent O(3)Li3V2Cr octahedra, and edges with four equivalent O(5)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fourth O site, O(2) is bonded to one Li(1), one Li(2), one V(1), one V(2), one V(4), and one Cr(2) atom to form OLi2V3Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(2)Li2V3Cr octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(5)Li3V2Cr octahedra, edges with four equivalent O(4)Li2V3Cr octahedra, and edges with four equivalent O(6)Li2V3Cr octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fifth O site, O(3) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(2)Li2V3Cr octahedra,  an edgeedge with one O(4)Li2V3Cr octahedra,  an edgeedge with one O(6)Li2V3Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra, edges with four equivalent O(1)Li3V2Cr octahedra, and edges with four equivalent O(5)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 3-8°. In the sixth O site, O(4) is bonded to one Li(1), one Li(2), one V(1), one V(2), one V(4), and one Cr(2) atom to form OLi2V3Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(4)Li2V3Cr octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(5)Li3V2Cr octahedra, edges with four equivalent O(2)Li2V3Cr octahedra, and edges with four equivalent O(6)Li2V3Cr octahedra. The corner-sharing octahedral tilt angles range from 0-9°. is represented by the CIF file [CIF]
data_Li5V5Cr2O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.226
_cell_length_b   5.226
_cell_length_c   9.985
_cell_angle_alpha   84.281
_cell_angle_beta   84.281
_cell_angle_gamma   120.365
_symmetry_Int_Tables_number   1
_cell_volume   230.507
_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  0.845  0.671  0.764  1.0
  Li  Li1  1  0.671  0.837  0.237  1.0
  Li  Li2  1  0.329  0.155  0.236  1.0
  Li  Li3  1  0.163  0.329  0.763  1.0
  Li  Li4  1  0.082  0.918  0.000  1.0
  V  V5  1  0.995  0.507  0.245  1.0
  V  V6  1  0.493  0.005  0.755  1.0
  V  V7  1  0.581  0.419  0.500  1.0
  V  V8  1  0.420  0.580  0.000  1.0
  V  V9  1  0.918  0.082  0.500  1.0
  Cr  Cr10  1  0.749  0.251  0.000  1.0
  Cr  Cr11  1  0.249  0.751  0.500  1.0
  O  O12  1  0.035  0.225  0.120  1.0
  O  O13  1  0.775  0.965  0.880  1.0
  O  O14  1  0.877  0.374  0.612  1.0
  O  O15  1  0.626  0.123  0.388  1.0
  O  O16  1  0.699  0.522  0.118  1.0
  O  O17  1  0.478  0.301  0.882  1.0
  O  O18  1  0.536  0.719  0.613  1.0
  O  O19  1  0.281  0.464  0.387  1.0
  O  O20  1  0.389  0.868  0.119  1.0
  O  O21  1  0.132  0.611  0.881  1.0
  O  O22  1  0.206  0.030  0.615  1.0
  O  O23  1  0.970  0.794  0.385  1.0
[/CIF]
.
The structure described by Li5V5Cr2O12 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(3)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,  an edgeedge with one Cr(2)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(3)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,  an edgeedge with one Cr(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-9°. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent V(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-3°. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form VO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(3)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,  an edgeedge with one Cr(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-8°. 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)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent V(4)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the third V site, V(3) 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)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the fourth V site, V(4) 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)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent V(2)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent V(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, edges with three equivalent V(2)O6 octahedra, and edges with three equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. There are six inequivalent O sites. In the first O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(2)Li2V3Cr octahedra,  an edgeedge with one O(4)Li2V3Cr octahedra,  an edgeedge with one O(6)Li2V3Cr octahedra,  an edgeedge with one O(5)Li3V2Cr octahedra, edges with four equivalent O(1)Li3V2Cr octahedra, and edges with four equivalent O(3)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the second O site, O(6) is bonded to one Li(1), one Li(2), one V(1), one V(2), one V(4), and one Cr(2) atom to form OLi2V3Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(6)Li2V3Cr octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(5)Li3V2Cr octahedra, edges with four equivalent O(2)Li2V3Cr octahedra, and edges with four equivalent O(4)Li2V3Cr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the third O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(2)Li2V3Cr octahedra,  an edgeedge with one O(4)Li2V3Cr octahedra,  an edgeedge with one O(6)Li2V3Cr octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra, edges with four equivalent O(3)Li3V2Cr octahedra, and edges with four equivalent O(5)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fourth O site, O(2) is bonded to one Li(1), one Li(2), one V(1), one V(2), one V(4), and one Cr(2) atom to form OLi2V3Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(2)Li2V3Cr octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(5)Li3V2Cr octahedra, edges with four equivalent O(4)Li2V3Cr octahedra, and edges with four equivalent O(6)Li2V3Cr octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fifth O site, O(3) is bonded to one Li(1), one Li(2), one Li(3), one V(1), one V(3), and one Cr(1) atom to form OLi3V2Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(2)Li2V3Cr octahedra,  an edgeedge with one O(4)Li2V3Cr octahedra,  an edgeedge with one O(6)Li2V3Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra, edges with four equivalent O(1)Li3V2Cr octahedra, and edges with four equivalent O(5)Li3V2Cr octahedra. The corner-sharing octahedral tilt angles range from 3-8°. In the sixth O site, O(4) is bonded to one Li(1), one Li(2), one V(1), one V(2), one V(4), and one Cr(2) atom to form OLi2V3Cr octahedra that share  a cornercorner with one O(2)Li2V3Cr octahedra,  a cornercorner with one O(4)Li2V3Cr octahedra,  a cornercorner with one O(6)Li2V3Cr octahedra,  a cornercorner with one O(1)Li3V2Cr octahedra,  a cornercorner with one O(3)Li3V2Cr octahedra,  a cornercorner with one O(5)Li3V2Cr octahedra,  an edgeedge with one O(4)Li2V3Cr octahedra,  an edgeedge with one O(1)Li3V2Cr octahedra,  an edgeedge with one O(3)Li3V2Cr octahedra,  an edgeedge with one O(5)Li3V2Cr octahedra, edges with four equivalent O(2)Li2V3Cr octahedra, and edges with four equivalent O(6)Li2V3Cr octahedra. The corner-sharing octahedral tilt angles range from 0-9°. is represented by the CIF file [CIF]
data_Li5V5Cr2O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.226
_cell_length_b   5.226
_cell_length_c   9.985
_cell_angle_alpha   84.281
_cell_angle_beta   84.281
_cell_angle_gamma   120.365
_symmetry_Int_Tables_number   1
_cell_volume   230.507
_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  0.845  0.671  0.764  1.0
  Li  Li1  1  0.671  0.837  0.237  1.0
  Li  Li2  1  0.329  0.155  0.236  1.0
  Li  Li3  1  0.163  0.329  0.763  1.0
  Li  Li4  1  0.082  0.918  0.000  1.0
  V  V5  1  0.995  0.507  0.245  1.0
  V  V6  1  0.493  0.005  0.755  1.0
  V  V7  1  0.581  0.419  0.500  1.0
  V  V8  1  0.420  0.580  0.000  1.0
  V  V9  1  0.918  0.082  0.500  1.0
  Cr  Cr10  1  0.749  0.251  0.000  1.0
  Cr  Cr11  1  0.249  0.751  0.500  1.0
  O  O12  1  0.035  0.225  0.120  1.0
  O  O13  1  0.775  0.965  0.880  1.0
  O  O14  1  0.877  0.374  0.612  1.0
  O  O15  1  0.626  0.123  0.388  1.0
  O  O16  1  0.699  0.522  0.118  1.0
  O  O17  1  0.478  0.301  0.882  1.0
  O  O18  1  0.536  0.719  0.613  1.0
  O  O19  1  0.281  0.464  0.387  1.0
  O  O20  1  0.389  0.868  0.119  1.0
  O  O21  1  0.132  0.611  0.881  1.0
  O  O22  1  0.206  0.030  0.615  1.0
  O  O23  1  0.970  0.794  0.385  1.0
[/CIF]
.