The material structure described by Li4Cr3CoO8 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(4), one O(8), two equivalent O(3), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the second Li site, Li(2) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the third Li site, Li(3) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the fourth Li site, Li(4) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with four equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the fifth Li site, Li(5) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), one O(6), one O(8), and two equivalent O(7) atoms to form CrO6 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(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the second Cr site, Cr(2) is bonded to one O(2), one O(4), one O(7), one O(8), and two equivalent O(3) atoms to form CrO6 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(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the third Cr site, Cr(3) is bonded to one O(1), one O(2), one O(4), one O(6), and two equivalent O(5) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. Co(1) is bonded to one O(2), one O(5), one O(6), one O(8), and two equivalent O(1) atoms to form CoO6 octahedra that share  a cornercorner with one Li(1)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(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(4), one Li(5), one Cr(3), and two equivalent Co(1) atoms to form OLi3CrCo2 octahedra that share  a cornercorner with one O(8)Li3Cr2Co octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra, corners with two equivalent O(6)Li3Cr2Co octahedra, corners with two equivalent O(1)Li3CrCo2 octahedra,  an edgeedge with one O(8)Li3Cr2Co octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3CrCo2 octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with three equivalent O(2)Li3Cr2Co octahedra, and edges with four equivalent O(5)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(5), one Cr(2), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(2)Li3Cr2Co octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra, corners with two equivalent O(5)Li3Cr2Co octahedra, corners with two equivalent O(4)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, and edges with three equivalent O(1)Li3CrCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the third O site, O(3) is bonded to one Li(3), two equivalent Li(1), one Cr(1), and two equivalent Cr(2) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(2)Li3Cr2Co octahedra,  a cornercorner with one O(1)Li3CrCo2 octahedra, corners with two equivalent O(8)Li3Cr2Co octahedra, corners with two equivalent O(7)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(6)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, edges with three equivalent O(4)Li3Cr3 octahedra, and edges with three equivalent O(7)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(5)Li3Cr2Co octahedra,  a cornercorner with one O(8)Li3Cr2Co octahedra, corners with two equivalent O(2)Li3Cr2Co octahedra, corners with two equivalent O(7)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(5)Li3Cr2Co octahedra,  an edgeedge with one O(1)Li3CrCo2 octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, and edges with three equivalent O(3)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fifth O site, O(5) is bonded to one Li(2), one Li(4), one Li(5), two equivalent Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3Cr3 octahedra, corners with two equivalent O(2)Li3Cr2Co octahedra, corners with two equivalent O(5)Li3Cr2Co octahedra,  an edgeedge with one O(5)Li3Cr2Co octahedra,  an edgeedge with one O(8)Li3Cr2Co octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr2Co octahedra, edges with three equivalent O(6)Li3Cr2Co octahedra, and edges with four equivalent O(1)Li3CrCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(6)Li3Cr2Co octahedra,  a cornercorner with one O(7)Li3Cr3 octahedra, corners with two equivalent O(8)Li3Cr2Co octahedra, corners with two equivalent O(1)Li3CrCo2 octahedra,  an edgeedge with one O(8)Li3Cr2Co octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, edges with two equivalent O(1)Li3CrCo2 octahedra, and edges with three equivalent O(5)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the seventh O site, O(7) is bonded to one Li(2), two equivalent Li(1), one Cr(2), and two equivalent Cr(1) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(5)Li3Cr2Co octahedra,  a cornercorner with one O(6)Li3Cr2Co octahedra, corners with two equivalent O(3)Li3Cr3 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(6)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, edges with three equivalent O(8)Li3Cr2Co octahedra, and edges with three equivalent O(3)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the eighth O site, O(8) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Cr(2), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(1)Li3CrCo2 octahedra, corners with two equivalent O(6)Li3Cr2Co octahedra, corners with two equivalent O(3)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr2Co octahedra,  an edgeedge with one O(6)Li3Cr2Co octahedra,  an edgeedge with one O(1)Li3CrCo2 octahedra, edges with two equivalent O(2)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, and edges with three equivalent O(7)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the CIF file [CIF]
data_Li4Cr3CoO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.102
_cell_length_b   5.858
_cell_length_c   10.558
_cell_angle_alpha   74.028
_cell_angle_beta   76.203
_cell_angle_gamma   73.317
_symmetry_Int_Tables_number   1
_cell_volume   286.208
_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  0.498  0.250  0.501  1.0
  Li  Li1  1  0.500  0.872  0.753  1.0
  Li  Li2  1  0.504  0.622  0.251  1.0
  Li  Li3  1  0.500  0.000  0.000  1.0
  Li  Li4  1  0.502  0.750  0.499  1.0
  Li  Li5  1  0.496  0.378  0.749  1.0
  Li  Li6  1  0.500  0.128  0.247  1.0
  Li  Li7  1  0.500  0.500  0.000  1.0
  Cr  Cr8  1  1.000  0.060  0.627  1.0
  Cr  Cr9  1  0.000  0.437  0.373  1.0
  Cr  Cr10  1  0.000  0.811  0.123  1.0
  Cr  Cr11  1  1.000  0.563  0.627  1.0
  Cr  Cr12  1  1.000  0.189  0.877  1.0
  Cr  Cr13  1  0.000  0.940  0.373  1.0
  Co  Co14  1  0.000  0.314  0.123  1.0
  Co  Co15  1  1.000  0.686  0.877  1.0
  O  O16  1  0.781  0.644  0.057  1.0
  O  O17  1  0.223  0.470  0.187  1.0
  O  O18  1  0.773  0.401  0.561  1.0
  O  O19  1  0.228  0.224  0.691  1.0
  O  O20  1  0.223  0.845  0.938  1.0
  O  O21  1  0.775  0.020  0.814  1.0
  O  O22  1  0.772  0.776  0.309  1.0
  O  O23  1  0.227  0.599  0.439  1.0
  O  O24  1  0.777  0.155  0.062  1.0
  O  O25  1  0.225  0.980  0.186  1.0
  O  O26  1  0.773  0.902  0.560  1.0
  O  O27  1  0.224  0.721  0.695  1.0
  O  O28  1  0.777  0.530  0.813  1.0
  O  O29  1  0.776  0.279  0.305  1.0
  O  O30  1  0.219  0.356  0.943  1.0
  O  O31  1  0.227  0.098  0.440  1.0
[/CIF]
.
The material structure described by Li4Cr3CoO8 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(4), one O(8), two equivalent O(3), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the second Li site, Li(2) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the third Li site, Li(3) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the fourth Li site, Li(4) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with four equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the fifth Li site, Li(5) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), one O(6), one O(8), and two equivalent O(7) atoms to form CrO6 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(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the second Cr site, Cr(2) is bonded to one O(2), one O(4), one O(7), one O(8), and two equivalent O(3) atoms to form CrO6 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(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the third Cr site, Cr(3) is bonded to one O(1), one O(2), one O(4), one O(6), and two equivalent O(5) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. Co(1) is bonded to one O(2), one O(5), one O(6), one O(8), and two equivalent O(1) atoms to form CoO6 octahedra that share  a cornercorner with one Li(1)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(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(4), one Li(5), one Cr(3), and two equivalent Co(1) atoms to form OLi3CrCo2 octahedra that share  a cornercorner with one O(8)Li3Cr2Co octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra, corners with two equivalent O(6)Li3Cr2Co octahedra, corners with two equivalent O(1)Li3CrCo2 octahedra,  an edgeedge with one O(8)Li3Cr2Co octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3CrCo2 octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with three equivalent O(2)Li3Cr2Co octahedra, and edges with four equivalent O(5)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(5), one Cr(2), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(2)Li3Cr2Co octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra, corners with two equivalent O(5)Li3Cr2Co octahedra, corners with two equivalent O(4)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, and edges with three equivalent O(1)Li3CrCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the third O site, O(3) is bonded to one Li(3), two equivalent Li(1), one Cr(1), and two equivalent Cr(2) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(2)Li3Cr2Co octahedra,  a cornercorner with one O(1)Li3CrCo2 octahedra, corners with two equivalent O(8)Li3Cr2Co octahedra, corners with two equivalent O(7)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(6)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, edges with three equivalent O(4)Li3Cr3 octahedra, and edges with three equivalent O(7)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(5)Li3Cr2Co octahedra,  a cornercorner with one O(8)Li3Cr2Co octahedra, corners with two equivalent O(2)Li3Cr2Co octahedra, corners with two equivalent O(7)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(5)Li3Cr2Co octahedra,  an edgeedge with one O(1)Li3CrCo2 octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, and edges with three equivalent O(3)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fifth O site, O(5) is bonded to one Li(2), one Li(4), one Li(5), two equivalent Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3Cr3 octahedra, corners with two equivalent O(2)Li3Cr2Co octahedra, corners with two equivalent O(5)Li3Cr2Co octahedra,  an edgeedge with one O(5)Li3Cr2Co octahedra,  an edgeedge with one O(8)Li3Cr2Co octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr2Co octahedra, edges with three equivalent O(6)Li3Cr2Co octahedra, and edges with four equivalent O(1)Li3CrCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(6)Li3Cr2Co octahedra,  a cornercorner with one O(7)Li3Cr3 octahedra, corners with two equivalent O(8)Li3Cr2Co octahedra, corners with two equivalent O(1)Li3CrCo2 octahedra,  an edgeedge with one O(8)Li3Cr2Co octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, edges with two equivalent O(1)Li3CrCo2 octahedra, and edges with three equivalent O(5)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the seventh O site, O(7) is bonded to one Li(2), two equivalent Li(1), one Cr(2), and two equivalent Cr(1) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(5)Li3Cr2Co octahedra,  a cornercorner with one O(6)Li3Cr2Co octahedra, corners with two equivalent O(3)Li3Cr3 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(6)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, edges with three equivalent O(8)Li3Cr2Co octahedra, and edges with three equivalent O(3)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the eighth O site, O(8) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Cr(2), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(1)Li3CrCo2 octahedra, corners with two equivalent O(6)Li3Cr2Co octahedra, corners with two equivalent O(3)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr2Co octahedra,  an edgeedge with one O(6)Li3Cr2Co octahedra,  an edgeedge with one O(1)Li3CrCo2 octahedra, edges with two equivalent O(2)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, and edges with three equivalent O(7)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the CIF file [CIF]
data_Li4Cr3CoO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.102
_cell_length_b   5.858
_cell_length_c   10.558
_cell_angle_alpha   74.028
_cell_angle_beta   76.203
_cell_angle_gamma   73.317
_symmetry_Int_Tables_number   1
_cell_volume   286.208
_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  0.498  0.250  0.501  1.0
  Li  Li1  1  0.500  0.872  0.753  1.0
  Li  Li2  1  0.504  0.622  0.251  1.0
  Li  Li3  1  0.500  0.000  0.000  1.0
  Li  Li4  1  0.502  0.750  0.499  1.0
  Li  Li5  1  0.496  0.378  0.749  1.0
  Li  Li6  1  0.500  0.128  0.247  1.0
  Li  Li7  1  0.500  0.500  0.000  1.0
  Cr  Cr8  1  1.000  0.060  0.627  1.0
  Cr  Cr9  1  0.000  0.437  0.373  1.0
  Cr  Cr10  1  0.000  0.811  0.123  1.0
  Cr  Cr11  1  1.000  0.563  0.627  1.0
  Cr  Cr12  1  1.000  0.189  0.877  1.0
  Cr  Cr13  1  0.000  0.940  0.373  1.0
  Co  Co14  1  0.000  0.314  0.123  1.0
  Co  Co15  1  1.000  0.686  0.877  1.0
  O  O16  1  0.781  0.644  0.057  1.0
  O  O17  1  0.223  0.470  0.187  1.0
  O  O18  1  0.773  0.401  0.561  1.0
  O  O19  1  0.228  0.224  0.691  1.0
  O  O20  1  0.223  0.845  0.938  1.0
  O  O21  1  0.775  0.020  0.814  1.0
  O  O22  1  0.772  0.776  0.309  1.0
  O  O23  1  0.227  0.599  0.439  1.0
  O  O24  1  0.777  0.155  0.062  1.0
  O  O25  1  0.225  0.980  0.186  1.0
  O  O26  1  0.773  0.902  0.560  1.0
  O  O27  1  0.224  0.721  0.695  1.0
  O  O28  1  0.777  0.530  0.813  1.0
  O  O29  1  0.776  0.279  0.305  1.0
  O  O30  1  0.219  0.356  0.943  1.0
  O  O31  1  0.227  0.098  0.440  1.0
[/CIF]
.