The crystal structure described by Li4Cr3CoO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(4), two equivalent O(5), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Co(2)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(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the second Li site, Li(2) is bonded to one O(1), one O(3), two equivalent O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(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(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. 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(7) atom to form LiO6 octahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Cr(4)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,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Cr(4)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,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)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, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the third Cr site, Cr(3) 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 CrO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)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,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth Cr site, Cr(4) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)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,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)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(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the second Co site, Co(2) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Cr(3), and one Cr(4) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(3)Li3Cr2Co octahedra,  a cornercorner with one O(1)Li3Cr3 octahedra, corners with two equivalent O(4)Li3Cr2Co octahedra, corners with two equivalent O(2)Li3Cr3 octahedra,  an edgeedge with one O(4)Li3Cr2Co octahedra,  an edgeedge with one O(2)Li3Cr3 octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr2Co octahedra, and edges with two equivalent O(8)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the second O site, O(2) is bonded to one Li(1), one Li(3), one Li(4), one Cr(2), one Cr(3), and one Cr(4) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(4)Li3Cr2Co octahedra,  a cornercorner with one O(2)Li3Cr3 octahedra, corners with two equivalent O(3)Li3Cr2Co octahedra, corners with two equivalent O(1)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(1)Li3Cr3 octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr2Co octahedra, and edges with two equivalent O(8)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(4), one Cr(3), one Cr(4), and one Co(2) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(3)Li3Cr2Co octahedra,  a cornercorner with one O(1)Li3Cr3 octahedra, corners with two equivalent O(4)Li3Cr2Co octahedra, corners with two equivalent O(2)Li3Cr3 octahedra,  an edgeedge with one O(4)Li3Cr2Co octahedra,  an edgeedge with one O(2)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, and edges with two equivalent O(1)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(3), one Li(4), one Cr(3), one Cr(4), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(4)Li3Cr2Co octahedra,  a cornercorner with one O(2)Li3Cr3 octahedra, corners with two equivalent O(3)Li3Cr2Co octahedra, corners with two equivalent O(1)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(1)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, and edges with two equivalent O(2)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fifth O site, O(5) is bonded to one Li(4), two equivalent Li(1), one Cr(1), one Cr(3), and one Co(2) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(6)Li3Cr2Co octahedra,  a cornercorner with one O(8)Li3Cr2Co octahedra, corners with two equivalent O(5)Li3Cr2Co octahedra, corners with two equivalent O(7)Li3Cr2Co octahedra,  an edgeedge with one O(5)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr3 octahedra, and edges with three equivalent O(7)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the sixth O site, O(6) is bonded to one Li(3), two equivalent Li(2), one Cr(2), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(5)Li3Cr2Co octahedra,  a cornercorner with one O(7)Li3Cr2Co octahedra, corners with two equivalent O(6)Li3Cr2Co octahedra, corners with two equivalent O(8)Li3Cr2Co octahedra,  an edgeedge with one O(6)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr3 octahedra, and edges with three equivalent O(8)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the seventh O site, O(7) is bonded to one Li(3), two equivalent Li(1), one Cr(1), one Cr(4), and one Co(2) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(6)Li3Cr2Co octahedra,  a cornercorner with one O(8)Li3Cr2Co octahedra, corners with two equivalent O(5)Li3Cr2Co octahedra, corners with two equivalent O(7)Li3Cr2Co octahedra,  an edgeedge with one O(7)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr3 octahedra, and edges with three equivalent O(5)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the eighth O site, O(8) is bonded to one Li(4), two equivalent Li(2), one Cr(2), one Cr(4), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(5)Li3Cr2Co octahedra,  a cornercorner with one O(7)Li3Cr2Co octahedra, corners with two equivalent O(6)Li3Cr2Co octahedra, corners with two equivalent O(8)Li3Cr2Co octahedra,  an edgeedge with one O(8)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr3 octahedra, and edges with three equivalent O(6)Li3Cr2Co 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   5.144
_cell_length_b   5.906
_cell_length_c   5.897
_cell_angle_alpha   60.289
_cell_angle_beta   89.980
_cell_angle_gamma   73.253
_symmetry_Int_Tables_number   1
_cell_volume   146.812
_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
  Co  Co0  1  0.500  0.500  0.250  1.0
  Cr  Cr1  1  0.500  0.500  0.750  1.0
  Cr  Cr2  1  0.500  0.000  0.750  1.0
  Cr  Cr3  1  0.500  0.000  0.250  1.0
  Li  Li4  1  0.995  0.005  0.503  1.0
  Li  Li5  1  0.005  0.995  0.997  1.0
  Li  Li6  1  0.999  0.498  0.498  1.0
  Li  Li7  1  0.001  0.502  0.002  1.0
  O  O8  1  0.725  0.758  0.620  1.0
  O  O9  1  0.275  0.242  0.880  1.0
  O  O10  1  0.727  0.760  0.119  1.0
  O  O11  1  0.273  0.240  0.381  1.0
  O  O12  1  0.271  0.746  0.874  1.0
  O  O13  1  0.278  0.738  0.377  1.0
  O  O14  1  0.729  0.254  0.626  1.0
  O  O15  1  0.722  0.262  0.123  1.0
[/CIF]
.
The crystal structure described by Li4Cr3CoO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(4), two equivalent O(5), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Co(2)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(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the second Li site, Li(2) is bonded to one O(1), one O(3), two equivalent O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(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(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. 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(7) atom to form LiO6 octahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Cr(4)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,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Cr(4)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,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)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, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the third Cr site, Cr(3) 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 CrO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)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,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth Cr site, Cr(4) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)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,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)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(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the second Co site, Co(2) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Cr(3), and one Cr(4) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(3)Li3Cr2Co octahedra,  a cornercorner with one O(1)Li3Cr3 octahedra, corners with two equivalent O(4)Li3Cr2Co octahedra, corners with two equivalent O(2)Li3Cr3 octahedra,  an edgeedge with one O(4)Li3Cr2Co octahedra,  an edgeedge with one O(2)Li3Cr3 octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr2Co octahedra, and edges with two equivalent O(8)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the second O site, O(2) is bonded to one Li(1), one Li(3), one Li(4), one Cr(2), one Cr(3), and one Cr(4) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(4)Li3Cr2Co octahedra,  a cornercorner with one O(2)Li3Cr3 octahedra, corners with two equivalent O(3)Li3Cr2Co octahedra, corners with two equivalent O(1)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(1)Li3Cr3 octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr2Co octahedra, and edges with two equivalent O(8)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(4), one Cr(3), one Cr(4), and one Co(2) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(3)Li3Cr2Co octahedra,  a cornercorner with one O(1)Li3Cr3 octahedra, corners with two equivalent O(4)Li3Cr2Co octahedra, corners with two equivalent O(2)Li3Cr3 octahedra,  an edgeedge with one O(4)Li3Cr2Co octahedra,  an edgeedge with one O(2)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, and edges with two equivalent O(1)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(3), one Li(4), one Cr(3), one Cr(4), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(4)Li3Cr2Co octahedra,  a cornercorner with one O(2)Li3Cr3 octahedra, corners with two equivalent O(3)Li3Cr2Co octahedra, corners with two equivalent O(1)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(1)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr2Co octahedra, edges with two equivalent O(6)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3Cr2Co octahedra, edges with two equivalent O(8)Li3Cr2Co octahedra, and edges with two equivalent O(2)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fifth O site, O(5) is bonded to one Li(4), two equivalent Li(1), one Cr(1), one Cr(3), and one Co(2) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(6)Li3Cr2Co octahedra,  a cornercorner with one O(8)Li3Cr2Co octahedra, corners with two equivalent O(5)Li3Cr2Co octahedra, corners with two equivalent O(7)Li3Cr2Co octahedra,  an edgeedge with one O(5)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr3 octahedra, and edges with three equivalent O(7)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the sixth O site, O(6) is bonded to one Li(3), two equivalent Li(2), one Cr(2), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(5)Li3Cr2Co octahedra,  a cornercorner with one O(7)Li3Cr2Co octahedra, corners with two equivalent O(6)Li3Cr2Co octahedra, corners with two equivalent O(8)Li3Cr2Co octahedra,  an edgeedge with one O(6)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr3 octahedra, and edges with three equivalent O(8)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the seventh O site, O(7) is bonded to one Li(3), two equivalent Li(1), one Cr(1), one Cr(4), and one Co(2) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(6)Li3Cr2Co octahedra,  a cornercorner with one O(8)Li3Cr2Co octahedra, corners with two equivalent O(5)Li3Cr2Co octahedra, corners with two equivalent O(7)Li3Cr2Co octahedra,  an edgeedge with one O(7)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr3 octahedra, and edges with three equivalent O(5)Li3Cr2Co octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the eighth O site, O(8) is bonded to one Li(4), two equivalent Li(2), one Cr(2), one Cr(4), and one Co(1) atom to form OLi3Cr2Co octahedra that share  a cornercorner with one O(5)Li3Cr2Co octahedra,  a cornercorner with one O(7)Li3Cr2Co octahedra, corners with two equivalent O(6)Li3Cr2Co octahedra, corners with two equivalent O(8)Li3Cr2Co octahedra,  an edgeedge with one O(8)Li3Cr2Co octahedra, edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(4)Li3Cr2Co octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr3 octahedra, and edges with three equivalent O(6)Li3Cr2Co 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   5.144
_cell_length_b   5.906
_cell_length_c   5.897
_cell_angle_alpha   60.289
_cell_angle_beta   89.980
_cell_angle_gamma   73.253
_symmetry_Int_Tables_number   1
_cell_volume   146.812
_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
  Co  Co0  1  0.500  0.500  0.250  1.0
  Cr  Cr1  1  0.500  0.500  0.750  1.0
  Cr  Cr2  1  0.500  0.000  0.750  1.0
  Cr  Cr3  1  0.500  0.000  0.250  1.0
  Li  Li4  1  0.995  0.005  0.503  1.0
  Li  Li5  1  0.005  0.995  0.997  1.0
  Li  Li6  1  0.999  0.498  0.498  1.0
  Li  Li7  1  0.001  0.502  0.002  1.0
  O  O8  1  0.725  0.758  0.620  1.0
  O  O9  1  0.275  0.242  0.880  1.0
  O  O10  1  0.727  0.760  0.119  1.0
  O  O11  1  0.273  0.240  0.381  1.0
  O  O12  1  0.271  0.746  0.874  1.0
  O  O13  1  0.278  0.738  0.377  1.0
  O  O14  1  0.729  0.254  0.626  1.0
  O  O15  1  0.722  0.262  0.123  1.0
[/CIF]
.