The material structure described by Li2CrCo3O8 is Spinel-derived structured and crystallizes in the monoclinic Cc space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(3), one O(6), and one O(7) atom to form LiO4 tetrahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, and corners with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-61°. In the second Li site, Li(2) is bonded to one O(1), one O(4), one O(5), and one O(8) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-66°. Cr(1) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are three inequivalent Co sites. In the first Co site, Co(1) 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 CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. In the second Co site, Co(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. In the third Co site, Co(3) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are eight inequivalent O sites. In the first O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(1), and one Co(2) atom. In the second O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(1), and one Co(3) atom. In the third O site, O(2) is bonded to one Li(1), one Cr(1), one Co(1), and one Co(2) atom to form distorted OLiCrCo2 tetrahedra that share  a cornercorner with one O(6)LiCrCo2 tetrahedra,  a cornercorner with one O(7)LiCrCo2 tetrahedra, corners with two equivalent O(4)LiCo3 tetrahedra,  a cornercorner with one O(3)LiCo3 trigonal pyramid,  an edgeedge with one O(6)LiCrCo2 tetrahedra,  an edgeedge with one O(7)LiCrCo2 tetrahedra, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the fourth O site, O(3) is bonded to one Li(1), one Co(1), one Co(2), and one Co(3) atom to form distorted OLiCo3 trigonal pyramids that share  a cornercorner with one O(2)LiCrCo2 tetrahedra,  a cornercorner with one O(6)LiCrCo2 tetrahedra,  a cornercorner with one O(7)LiCrCo2 tetrahedra, corners with three equivalent O(4)LiCo3 tetrahedra,  an edgeedge with one O(2)LiCrCo2 tetrahedra,  an edgeedge with one O(6)LiCrCo2 tetrahedra, and  an edgeedge with one O(7)LiCrCo2 tetrahedra. In the fifth O site, O(4) is bonded to one Li(2), one Co(1), one Co(2), and one Co(3) atom to form distorted OLiCo3 tetrahedra that share corners with two equivalent O(2)LiCrCo2 tetrahedra, corners with two equivalent O(6)LiCrCo2 tetrahedra, corners with two equivalent O(7)LiCrCo2 tetrahedra, and corners with three equivalent O(3)LiCo3 trigonal pyramids. In the sixth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(2), and one Co(3) atom. In the seventh O site, O(6) is bonded to one Li(1), one Cr(1), one Co(1), and one Co(3) atom to form distorted OLiCrCo2 tetrahedra that share  a cornercorner with one O(2)LiCrCo2 tetrahedra,  a cornercorner with one O(7)LiCrCo2 tetrahedra, corners with two equivalent O(4)LiCo3 tetrahedra,  a cornercorner with one O(3)LiCo3 trigonal pyramid,  an edgeedge with one O(2)LiCrCo2 tetrahedra,  an edgeedge with one O(7)LiCrCo2 tetrahedra, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the eighth O site, O(7) is bonded to one Li(1), one Cr(1), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 tetrahedra that share  a cornercorner with one O(2)LiCrCo2 tetrahedra,  a cornercorner with one O(6)LiCrCo2 tetrahedra, corners with two equivalent O(4)LiCo3 tetrahedra,  a cornercorner with one O(3)LiCo3 trigonal pyramid,  an edgeedge with one O(2)LiCrCo2 tetrahedra,  an edgeedge with one O(6)LiCrCo2 tetrahedra, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2CrCo3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.699
_cell_length_b   5.683
_cell_length_c   9.317
_cell_angle_alpha   90.374
_cell_angle_beta   89.814
_cell_angle_gamma   119.906
_symmetry_Int_Tables_number   1
_cell_volume   261.598
_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  0.332  0.664  0.892  1.0
  Li  Li1  1  0.001  1.000  0.998  1.0
  Li  Li2  1  0.999  0.999  0.498  1.0
  Li  Li3  1  0.668  0.332  0.392  1.0
  Cr  Cr4  1  0.335  0.672  0.485  1.0
  Cr  Cr5  1  0.665  0.337  0.985  1.0
  Co  Co6  1  0.170  0.830  0.215  1.0
  Co  Co7  1  0.169  0.336  0.212  1.0
  Co  Co8  1  0.664  0.831  0.212  1.0
  Co  Co9  1  0.336  0.167  0.712  1.0
  Co  Co10  1  0.830  0.660  0.715  1.0
  Co  Co11  1  0.831  0.167  0.712  1.0
  O  O12  1  0.168  0.844  0.606  1.0
  O  O13  1  0.039  0.515  0.334  1.0
  O  O14  1  0.334  0.666  0.108  1.0
  O  O15  1  0.000  0.000  0.310  1.0
  O  O16  1  1.000  0.000  0.810  1.0
  O  O17  1  0.162  0.325  0.608  1.0
  O  O18  1  0.485  0.962  0.333  1.0
  O  O19  1  0.481  0.520  0.332  1.0
  O  O20  1  0.324  0.168  0.107  1.0
  O  O21  1  0.676  0.844  0.607  1.0
  O  O22  1  0.515  0.477  0.833  1.0
  O  O23  1  0.519  0.039  0.832  1.0
  O  O24  1  0.666  0.331  0.608  1.0
  O  O25  1  0.832  0.677  0.106  1.0
  O  O26  1  0.961  0.476  0.834  1.0
  O  O27  1  0.838  0.162  0.108  1.0
[/CIF]
.
The material structure described by Li2CrCo3O8 is Spinel-derived structured and crystallizes in the monoclinic Cc space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(3), one O(6), and one O(7) atom to form LiO4 tetrahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, and corners with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-61°. In the second Li site, Li(2) is bonded to one O(1), one O(4), one O(5), and one O(8) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-66°. Cr(1) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are three inequivalent Co sites. In the first Co site, Co(1) 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 CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. In the second Co site, Co(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. In the third Co site, Co(3) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are eight inequivalent O sites. In the first O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(1), and one Co(2) atom. In the second O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(1), and one Co(3) atom. In the third O site, O(2) is bonded to one Li(1), one Cr(1), one Co(1), and one Co(2) atom to form distorted OLiCrCo2 tetrahedra that share  a cornercorner with one O(6)LiCrCo2 tetrahedra,  a cornercorner with one O(7)LiCrCo2 tetrahedra, corners with two equivalent O(4)LiCo3 tetrahedra,  a cornercorner with one O(3)LiCo3 trigonal pyramid,  an edgeedge with one O(6)LiCrCo2 tetrahedra,  an edgeedge with one O(7)LiCrCo2 tetrahedra, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the fourth O site, O(3) is bonded to one Li(1), one Co(1), one Co(2), and one Co(3) atom to form distorted OLiCo3 trigonal pyramids that share  a cornercorner with one O(2)LiCrCo2 tetrahedra,  a cornercorner with one O(6)LiCrCo2 tetrahedra,  a cornercorner with one O(7)LiCrCo2 tetrahedra, corners with three equivalent O(4)LiCo3 tetrahedra,  an edgeedge with one O(2)LiCrCo2 tetrahedra,  an edgeedge with one O(6)LiCrCo2 tetrahedra, and  an edgeedge with one O(7)LiCrCo2 tetrahedra. In the fifth O site, O(4) is bonded to one Li(2), one Co(1), one Co(2), and one Co(3) atom to form distorted OLiCo3 tetrahedra that share corners with two equivalent O(2)LiCrCo2 tetrahedra, corners with two equivalent O(6)LiCrCo2 tetrahedra, corners with two equivalent O(7)LiCrCo2 tetrahedra, and corners with three equivalent O(3)LiCo3 trigonal pyramids. In the sixth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(2), and one Co(3) atom. In the seventh O site, O(6) is bonded to one Li(1), one Cr(1), one Co(1), and one Co(3) atom to form distorted OLiCrCo2 tetrahedra that share  a cornercorner with one O(2)LiCrCo2 tetrahedra,  a cornercorner with one O(7)LiCrCo2 tetrahedra, corners with two equivalent O(4)LiCo3 tetrahedra,  a cornercorner with one O(3)LiCo3 trigonal pyramid,  an edgeedge with one O(2)LiCrCo2 tetrahedra,  an edgeedge with one O(7)LiCrCo2 tetrahedra, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the eighth O site, O(7) is bonded to one Li(1), one Cr(1), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 tetrahedra that share  a cornercorner with one O(2)LiCrCo2 tetrahedra,  a cornercorner with one O(6)LiCrCo2 tetrahedra, corners with two equivalent O(4)LiCo3 tetrahedra,  a cornercorner with one O(3)LiCo3 trigonal pyramid,  an edgeedge with one O(2)LiCrCo2 tetrahedra,  an edgeedge with one O(6)LiCrCo2 tetrahedra, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2CrCo3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.699
_cell_length_b   5.683
_cell_length_c   9.317
_cell_angle_alpha   90.374
_cell_angle_beta   89.814
_cell_angle_gamma   119.906
_symmetry_Int_Tables_number   1
_cell_volume   261.598
_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  0.332  0.664  0.892  1.0
  Li  Li1  1  0.001  1.000  0.998  1.0
  Li  Li2  1  0.999  0.999  0.498  1.0
  Li  Li3  1  0.668  0.332  0.392  1.0
  Cr  Cr4  1  0.335  0.672  0.485  1.0
  Cr  Cr5  1  0.665  0.337  0.985  1.0
  Co  Co6  1  0.170  0.830  0.215  1.0
  Co  Co7  1  0.169  0.336  0.212  1.0
  Co  Co8  1  0.664  0.831  0.212  1.0
  Co  Co9  1  0.336  0.167  0.712  1.0
  Co  Co10  1  0.830  0.660  0.715  1.0
  Co  Co11  1  0.831  0.167  0.712  1.0
  O  O12  1  0.168  0.844  0.606  1.0
  O  O13  1  0.039  0.515  0.334  1.0
  O  O14  1  0.334  0.666  0.108  1.0
  O  O15  1  0.000  0.000  0.310  1.0
  O  O16  1  1.000  0.000  0.810  1.0
  O  O17  1  0.162  0.325  0.608  1.0
  O  O18  1  0.485  0.962  0.333  1.0
  O  O19  1  0.481  0.520  0.332  1.0
  O  O20  1  0.324  0.168  0.107  1.0
  O  O21  1  0.676  0.844  0.607  1.0
  O  O22  1  0.515  0.477  0.833  1.0
  O  O23  1  0.519  0.039  0.832  1.0
  O  O24  1  0.666  0.331  0.608  1.0
  O  O25  1  0.832  0.677  0.106  1.0
  O  O26  1  0.961  0.476  0.834  1.0
  O  O27  1  0.838  0.162  0.108  1.0
[/CIF]
.