The crystal structure described by Li5Cr2Co3O10 is beta Polonium-derived structured and crystallizes in the triclinic P-1 space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to two equivalent O(5), two equivalent O(7), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the second Li site, Li(2) is bonded to two equivalent O(10), two equivalent O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with four equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. In the third Li site, Li(3) is bonded to one O(2), one O(5), one O(6), one O(7), and two equivalent O(9) atoms to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(1)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(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the fourth Li site, Li(4) is bonded to one O(1), one O(5), one O(6), one O(8), and two equivalent O(10) atoms to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Co(4)O6 octahedra,  an edgeedge with one Li(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 Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the fifth Li site, Li(5) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the sixth Li site, Li(6) is bonded to one O(10), 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 Li(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(3), one O(5), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the second Cr site, Cr(2) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the second Co site, Co(2) is bonded to one O(3), one O(4), one O(7), one O(9), and two equivalent O(2) atoms to form CoO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the third Co site, Co(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the fourth Co site, Co(4) is bonded to one O(10), one O(3), one O(4), one O(8), and two equivalent O(1) atoms to form CoO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Li(2)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 Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one Li(5), one Cr(1), one Co(3), and two equivalent Co(4) atoms to form OLi2CrCo3 octahedra that share  a cornercorner with one O(1)Li2CrCo3 octahedra,  a cornercorner with one O(4)Li2CrCo3 octahedra,  a cornercorner with one O(7)Li3CrCo2 octahedra,  a cornercorner with one O(5)Li4Cr2 octahedra, corners with two equivalent O(10)Li4CrCo octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with three equivalent O(3)Li2CrCo3 octahedra, and edges with three equivalent O(8)Li3CrCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the second O site, O(2) is bonded to one Li(3), one Li(6), one Cr(2), one Co(1), and two equivalent Co(2) atoms to form OLi2CrCo3 octahedra that share  a cornercorner with one O(2)Li2CrCo3 octahedra,  a cornercorner with one O(3)Li2CrCo3 octahedra,  a cornercorner with one O(8)Li3CrCo2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra, corners with two equivalent O(9)Li4CrCo octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with three equivalent O(4)Li2CrCo3 octahedra, and edges with three equivalent O(7)Li3CrCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the third O site, O(3) is bonded to one Li(5), one Li(6), one Cr(1), one Co(2), one Co(3), and one Co(4) atom to form OLi2CrCo3 octahedra that share  a cornercorner with one O(2)Li2CrCo3 octahedra,  a cornercorner with one O(3)Li2CrCo3 octahedra,  a cornercorner with one O(8)Li3CrCo2 octahedra,  a cornercorner with one O(9)Li4CrCo octahedra, corners with two equivalent O(6)Li4Cr2 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(7)Li3CrCo2 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with two equivalent O(4)Li2CrCo3 octahedra, edges with two equivalent O(8)Li3CrCo2 octahedra, and edges with three equivalent O(1)Li2CrCo3 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fourth O site, O(4) is bonded to one Li(5), one Li(6), one Cr(2), one Co(1), one Co(2), and one Co(4) atom to form OLi2CrCo3 octahedra that share  a cornercorner with one O(1)Li2CrCo3 octahedra,  a cornercorner with one O(4)Li2CrCo3 octahedra,  a cornercorner with one O(7)Li3CrCo2 octahedra,  a cornercorner with one O(10)Li4CrCo octahedra, corners with two equivalent O(5)Li4Cr2 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(8)Li3CrCo2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with two equivalent O(3)Li2CrCo3 octahedra, edges with two equivalent O(7)Li3CrCo2 octahedra, and edges with three equivalent O(2)Li2CrCo3 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fifth O site, O(5) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(1)Li2CrCo3 octahedra,  a cornercorner with one O(7)Li3CrCo2 octahedra,  a cornercorner with one O(5)Li4Cr2 octahedra,  a cornercorner with one O(10)Li4CrCo octahedra, corners with two equivalent O(4)Li2CrCo3 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(8)Li3CrCo2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra, edges with two equivalent O(7)Li3CrCo2 octahedra, edges with two equivalent O(6)Li4Cr2 octahedra, and edges with three equivalent O(9)Li4CrCo octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one Li(6), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(2)Li2CrCo3 octahedra,  a cornercorner with one O(8)Li3CrCo2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(9)Li4CrCo octahedra, corners with two equivalent O(3)Li2CrCo3 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(7)Li3CrCo2 octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with two equivalent O(8)Li3CrCo2 octahedra, edges with two equivalent O(5)Li4Cr2 octahedra, and edges with three equivalent O(10)Li4CrCo octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the seventh O site, O(7) is bonded to one Li(1), one Li(3), one Li(5), one Cr(2), one Co(1), and one Co(2) atom to form OLi3CrCo2 octahedra that share  a cornercorner with one O(1)Li2CrCo3 octahedra,  a cornercorner with one O(4)Li2CrCo3 octahedra,  a cornercorner with one O(5)Li4Cr2 octahedra,  a cornercorner with one O(10)Li4CrCo octahedra, corners with two equivalent O(7)Li3CrCo2 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra, edges with two equivalent O(4)Li2CrCo3 octahedra, edges with two equivalent O(5)Li4Cr2 octahedra, edges with three equivalent O(2)Li2CrCo3 octahedra, and edges with three equivalent O(9)Li4CrCo octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the eighth O site, O(8) is bonded to one Li(2), one Li(4), one Li(6), one Cr(1), one Co(3), and one Co(4) atom to form OLi3CrCo2 octahedra that share  a cornercorner with one O(2)Li2CrCo3 octahedra,  a cornercorner with one O(3)Li2CrCo3 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(9)Li4CrCo octahedra, corners with two equivalent O(8)Li3CrCo2 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra, edges with two equivalent O(3)Li2CrCo3 octahedra, edges with two equivalent O(6)Li4Cr2 octahedra, edges with three equivalent O(1)Li2CrCo3 octahedra, and edges with three equivalent O(10)Li4CrCo octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the ninth O site, O(9) is bonded to one Li(1), one Li(5), two equivalent Li(3), one Cr(1), and one Co(2) atom to form OLi4CrCo octahedra that share  a cornercorner with one O(3)Li2CrCo3 octahedra,  a cornercorner with one O(8)Li3CrCo2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(9)Li4CrCo octahedra, corners with two equivalent O(2)Li2CrCo3 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with three equivalent O(7)Li3CrCo2 octahedra, and edges with three equivalent O(5)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the tenth O site, O(10) is bonded to one Li(2), one Li(6), two equivalent Li(4), one Cr(2), and one Co(4) atom to form OLi4CrCo octahedra that share  a cornercorner with one O(4)Li2CrCo3 octahedra,  a cornercorner with one O(7)Li3CrCo2 octahedra,  a cornercorner with one O(5)Li4Cr2 octahedra,  a cornercorner with one O(10)Li4CrCo octahedra, corners with two equivalent O(1)Li2CrCo3 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra, edges with three equivalent O(8)Li3CrCo2 octahedra, and edges with three equivalent O(6)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. is represented by the CIF file [CIF]
data_Li5Cr2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.120
_cell_length_b   5.124
_cell_length_c   7.787
_cell_angle_alpha   71.420
_cell_angle_beta   76.452
_cell_angle_gamma   99.140
_symmetry_Int_Tables_number   1
_cell_volume   182.116
_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  0.000  0.500  1.000  1.0
  Co  Co1  1  0.310  0.103  0.890  1.0
  Co  Co2  1  0.690  0.897  0.110  1.0
  Cr  Cr3  1  0.899  0.305  0.696  1.0
  Cr  Cr4  1  0.100  0.695  0.304  1.0
  Li  Li5  1  0.500  0.500  0.500  1.0
  Li  Li6  1  0.796  0.084  0.414  1.0
  Li  Li7  1  0.204  0.916  0.586  1.0
  Li  Li8  1  0.602  0.703  0.788  1.0
  Li  Li9  1  0.398  0.297  0.212  1.0
  O  O10  1  0.946  0.909  0.860  1.0
  O  O11  1  0.054  0.091  0.140  1.0
  O  O12  1  0.657  0.292  0.949  1.0
  O  O13  1  0.343  0.708  0.051  1.0
  O  O14  1  0.861  0.684  0.547  1.0
  O  O15  1  0.139  0.317  0.453  1.0
  O  O16  1  0.779  0.512  0.231  1.0
  O  O17  1  0.221  0.488  0.769  1.0
  O  O18  1  0.546  0.107  0.667  1.0
  O  O19  1  0.454  0.893  0.333  1.0
[/CIF]
.
The crystal structure described by Li5Cr2Co3O10 is beta Polonium-derived structured and crystallizes in the triclinic P-1 space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to two equivalent O(5), two equivalent O(7), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the second Li site, Li(2) is bonded to two equivalent O(10), two equivalent O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with four equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. In the third Li site, Li(3) is bonded to one O(2), one O(5), one O(6), one O(7), and two equivalent O(9) atoms to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(1)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(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the fourth Li site, Li(4) is bonded to one O(1), one O(5), one O(6), one O(8), and two equivalent O(10) atoms to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Co(4)O6 octahedra,  an edgeedge with one Li(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 Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the fifth Li site, Li(5) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the sixth Li site, Li(6) is bonded to one O(10), 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 Li(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(3), one O(5), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the second Cr site, Cr(2) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the second Co site, Co(2) is bonded to one O(3), one O(4), one O(7), one O(9), and two equivalent O(2) atoms to form CoO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the third Co site, Co(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the fourth Co site, Co(4) is bonded to one O(10), one O(3), one O(4), one O(8), and two equivalent O(1) atoms to form CoO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Li(2)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 Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one Li(5), one Cr(1), one Co(3), and two equivalent Co(4) atoms to form OLi2CrCo3 octahedra that share  a cornercorner with one O(1)Li2CrCo3 octahedra,  a cornercorner with one O(4)Li2CrCo3 octahedra,  a cornercorner with one O(7)Li3CrCo2 octahedra,  a cornercorner with one O(5)Li4Cr2 octahedra, corners with two equivalent O(10)Li4CrCo octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with three equivalent O(3)Li2CrCo3 octahedra, and edges with three equivalent O(8)Li3CrCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the second O site, O(2) is bonded to one Li(3), one Li(6), one Cr(2), one Co(1), and two equivalent Co(2) atoms to form OLi2CrCo3 octahedra that share  a cornercorner with one O(2)Li2CrCo3 octahedra,  a cornercorner with one O(3)Li2CrCo3 octahedra,  a cornercorner with one O(8)Li3CrCo2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra, corners with two equivalent O(9)Li4CrCo octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with three equivalent O(4)Li2CrCo3 octahedra, and edges with three equivalent O(7)Li3CrCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the third O site, O(3) is bonded to one Li(5), one Li(6), one Cr(1), one Co(2), one Co(3), and one Co(4) atom to form OLi2CrCo3 octahedra that share  a cornercorner with one O(2)Li2CrCo3 octahedra,  a cornercorner with one O(3)Li2CrCo3 octahedra,  a cornercorner with one O(8)Li3CrCo2 octahedra,  a cornercorner with one O(9)Li4CrCo octahedra, corners with two equivalent O(6)Li4Cr2 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(7)Li3CrCo2 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with two equivalent O(4)Li2CrCo3 octahedra, edges with two equivalent O(8)Li3CrCo2 octahedra, and edges with three equivalent O(1)Li2CrCo3 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fourth O site, O(4) is bonded to one Li(5), one Li(6), one Cr(2), one Co(1), one Co(2), and one Co(4) atom to form OLi2CrCo3 octahedra that share  a cornercorner with one O(1)Li2CrCo3 octahedra,  a cornercorner with one O(4)Li2CrCo3 octahedra,  a cornercorner with one O(7)Li3CrCo2 octahedra,  a cornercorner with one O(10)Li4CrCo octahedra, corners with two equivalent O(5)Li4Cr2 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(8)Li3CrCo2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with two equivalent O(3)Li2CrCo3 octahedra, edges with two equivalent O(7)Li3CrCo2 octahedra, and edges with three equivalent O(2)Li2CrCo3 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fifth O site, O(5) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(1)Li2CrCo3 octahedra,  a cornercorner with one O(7)Li3CrCo2 octahedra,  a cornercorner with one O(5)Li4Cr2 octahedra,  a cornercorner with one O(10)Li4CrCo octahedra, corners with two equivalent O(4)Li2CrCo3 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(8)Li3CrCo2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra, edges with two equivalent O(7)Li3CrCo2 octahedra, edges with two equivalent O(6)Li4Cr2 octahedra, and edges with three equivalent O(9)Li4CrCo octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one Li(6), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(2)Li2CrCo3 octahedra,  a cornercorner with one O(8)Li3CrCo2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(9)Li4CrCo octahedra, corners with two equivalent O(3)Li2CrCo3 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(7)Li3CrCo2 octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with two equivalent O(8)Li3CrCo2 octahedra, edges with two equivalent O(5)Li4Cr2 octahedra, and edges with three equivalent O(10)Li4CrCo octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the seventh O site, O(7) is bonded to one Li(1), one Li(3), one Li(5), one Cr(2), one Co(1), and one Co(2) atom to form OLi3CrCo2 octahedra that share  a cornercorner with one O(1)Li2CrCo3 octahedra,  a cornercorner with one O(4)Li2CrCo3 octahedra,  a cornercorner with one O(5)Li4Cr2 octahedra,  a cornercorner with one O(10)Li4CrCo octahedra, corners with two equivalent O(7)Li3CrCo2 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra, edges with two equivalent O(4)Li2CrCo3 octahedra, edges with two equivalent O(5)Li4Cr2 octahedra, edges with three equivalent O(2)Li2CrCo3 octahedra, and edges with three equivalent O(9)Li4CrCo octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the eighth O site, O(8) is bonded to one Li(2), one Li(4), one Li(6), one Cr(1), one Co(3), and one Co(4) atom to form OLi3CrCo2 octahedra that share  a cornercorner with one O(2)Li2CrCo3 octahedra,  a cornercorner with one O(3)Li2CrCo3 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(9)Li4CrCo octahedra, corners with two equivalent O(8)Li3CrCo2 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra, edges with two equivalent O(3)Li2CrCo3 octahedra, edges with two equivalent O(6)Li4Cr2 octahedra, edges with three equivalent O(1)Li2CrCo3 octahedra, and edges with three equivalent O(10)Li4CrCo octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the ninth O site, O(9) is bonded to one Li(1), one Li(5), two equivalent Li(3), one Cr(1), and one Co(2) atom to form OLi4CrCo octahedra that share  a cornercorner with one O(3)Li2CrCo3 octahedra,  a cornercorner with one O(8)Li3CrCo2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(9)Li4CrCo octahedra, corners with two equivalent O(2)Li2CrCo3 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(9)Li4CrCo octahedra, edges with three equivalent O(7)Li3CrCo2 octahedra, and edges with three equivalent O(5)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the tenth O site, O(10) is bonded to one Li(2), one Li(6), two equivalent Li(4), one Cr(2), and one Co(4) atom to form OLi4CrCo octahedra that share  a cornercorner with one O(4)Li2CrCo3 octahedra,  a cornercorner with one O(7)Li3CrCo2 octahedra,  a cornercorner with one O(5)Li4Cr2 octahedra,  a cornercorner with one O(10)Li4CrCo octahedra, corners with two equivalent O(1)Li2CrCo3 octahedra,  an edgeedge with one O(1)Li2CrCo3 octahedra,  an edgeedge with one O(2)Li2CrCo3 octahedra,  an edgeedge with one O(3)Li2CrCo3 octahedra,  an edgeedge with one O(4)Li2CrCo3 octahedra,  an edgeedge with one O(5)Li4Cr2 octahedra,  an edgeedge with one O(10)Li4CrCo octahedra, edges with three equivalent O(8)Li3CrCo2 octahedra, and edges with three equivalent O(6)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. is represented by the CIF file [CIF]
data_Li5Cr2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.120
_cell_length_b   5.124
_cell_length_c   7.787
_cell_angle_alpha   71.420
_cell_angle_beta   76.452
_cell_angle_gamma   99.140
_symmetry_Int_Tables_number   1
_cell_volume   182.116
_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  0.000  0.500  1.000  1.0
  Co  Co1  1  0.310  0.103  0.890  1.0
  Co  Co2  1  0.690  0.897  0.110  1.0
  Cr  Cr3  1  0.899  0.305  0.696  1.0
  Cr  Cr4  1  0.100  0.695  0.304  1.0
  Li  Li5  1  0.500  0.500  0.500  1.0
  Li  Li6  1  0.796  0.084  0.414  1.0
  Li  Li7  1  0.204  0.916  0.586  1.0
  Li  Li8  1  0.602  0.703  0.788  1.0
  Li  Li9  1  0.398  0.297  0.212  1.0
  O  O10  1  0.946  0.909  0.860  1.0
  O  O11  1  0.054  0.091  0.140  1.0
  O  O12  1  0.657  0.292  0.949  1.0
  O  O13  1  0.343  0.708  0.051  1.0
  O  O14  1  0.861  0.684  0.547  1.0
  O  O15  1  0.139  0.317  0.453  1.0
  O  O16  1  0.779  0.512  0.231  1.0
  O  O17  1  0.221  0.488  0.769  1.0
  O  O18  1  0.546  0.107  0.667  1.0
  O  O19  1  0.454  0.893  0.333  1.0
[/CIF]
.