The material structure described by Li10Co4O9 crystallizes in the triclinic P-1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(8)O5 trigonal bipyramid,  a cornercorner with one Li(2)O4 trigonal pyramid,  a cornercorner with one Li(4)O4 trigonal pyramid,  a cornercorner with one Li(6)O4 trigonal pyramid,  a cornercorner with one Li(7)O4 trigonal pyramid,  a cornercorner with one Li(9)O4 trigonal pyramid, corners with two equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Li(1)O4 trigonal pyramid,  an edgeedge with one Li(5)O4 trigonal pyramid, and  an edgeedge with one Li(6)O4 trigonal pyramid. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(4), and one O(5) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(1)O4 trigonal pyramid,  a cornercorner with one Li(3)O4 trigonal pyramid,  a cornercorner with one Li(7)O4 trigonal pyramid, corners with two equivalent Li(6)O4 trigonal pyramids,  an edgeedge with one Li(8)O5 trigonal bipyramid,  an edgeedge with one Li(3)O4 trigonal pyramid,  an edgeedge with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Li(5)O4 trigonal pyramid. In the third Li site, Li(3) is bonded to one O(1), one O(5), and two equivalent O(3) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(8)O5 trigonal bipyramid,  a cornercorner with one Li(2)O4 trigonal pyramid,  a cornercorner with one Li(4)O4 trigonal pyramid,  a cornercorner with one Li(6)O4 trigonal pyramid, corners with two equivalent Li(1)O4 trigonal pyramids,  an edgeedge with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(3)O4 trigonal pyramid,  an edgeedge with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Li(6)O4 trigonal pyramid. In the fourth Li site, Li(4) is bonded to one O(3), one O(5), one O(6), and one O(8) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(1)O4 trigonal pyramid,  a cornercorner with one Li(3)O4 trigonal pyramid,  a cornercorner with one Li(5)O4 trigonal pyramid, corners with two equivalent Li(6)O4 trigonal pyramids,  an edgeedge with one Li(8)O5 trigonal bipyramid,  an edgeedge with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(3)O4 trigonal pyramid, and  an edgeedge with one Li(9)O4 trigonal pyramid. In the fifth Li site, Li(5) is bonded to one O(2), one O(4), one O(8), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(4)O4 trigonal pyramid,  a cornercorner with one Li(7)O4 trigonal pyramid,  a cornercorner with one Li(9)O4 trigonal pyramid,  an edgeedge with one Li(8)O5 trigonal bipyramid,  an edgeedge with one Li(1)O4 trigonal pyramid,  an edgeedge with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(6)O4 trigonal pyramid, and  an edgeedge with one Li(7)O4 trigonal pyramid. In the sixth Li site, Li(6) is bonded to one O(1), one O(2), one O(3), and one O(8) atom to form a mixture of distorted corner and edge-sharing LiO4 trigonal pyramids. In the seventh Li site, Li(7) is bonded to one O(4), one O(7), and two equivalent O(9) atoms to form LiO4 trigonal pyramids that share  a cornercorner with one Li(1)O4 trigonal pyramid,  a cornercorner with one Li(2)O4 trigonal pyramid,  a cornercorner with one Li(5)O4 trigonal pyramid, corners with two equivalent Li(9)O4 trigonal pyramids, edges with two equivalent Li(8)O5 trigonal bipyramids,  an edgeedge with one Li(5)O4 trigonal pyramid, and  an edgeedge with one Li(7)O4 trigonal pyramid. In the eighth Li site, Li(8) is bonded to one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing LiO5 trigonal bipyramids. In the ninth Li site, Li(9) is bonded to one O(6), one O(8), and two equivalent O(7) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(8)O5 trigonal bipyramid,  a cornercorner with one Li(1)O4 trigonal pyramid,  a cornercorner with one Li(5)O4 trigonal pyramid,  a cornercorner with one Li(6)O4 trigonal pyramid, corners with two equivalent Li(7)O4 trigonal pyramids,  an edgeedge with one Li(8)O5 trigonal bipyramid,  an edgeedge with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Li(9)O4 trigonal pyramid. In the tenth Li site, Li(10) is bonded in a 4-coordinate geometry to one O(2), one O(6), one O(7), and one O(9) atom. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a distorted trigonal planar geometry to one O(3), one O(4), and one O(6) atom. In the second Co site, Co(2) is bonded in a distorted trigonal planar geometry to one O(2), one O(5), and one O(7) atom. In the third Co site, Co(3) is bonded in a distorted trigonal planar geometry to one O(1), one O(2), and one O(6) atom. In the fourth Co site, Co(4) is bonded in a distorted trigonal planar geometry to one O(5), one O(8), and one O(9) atom. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(6), two equivalent Li(1), and one Co(3) atom to form distorted OLi4Co trigonal bipyramids that share  a cornercorner with one O(5)Li4Co2 octahedra,  a cornercorner with one O(6)Li4Co2 octahedra,  a cornercorner with one O(3)Li5Co octahedra,  a cornercorner with one O(8)Li5Co octahedra, corners with two equivalent O(2)Li4Co2 octahedra, corners with two equivalent O(4)Li5Co octahedra,  an edgeedge with one O(3)Li5Co octahedra,  an edgeedge with one O(8)Li5Co octahedra, and  an edgeedge with one O(1)Li4Co trigonal bipyramid. The corner-sharing octahedral tilt angles range from 46-69°. In the second O site, O(2) is bonded to one Li(10), one Li(2), one Li(5), one Li(6), one Co(2), and one Co(3) atom to form OLi4Co2 octahedra that share corners with two equivalent O(3)Li5Co octahedra, corners with two equivalent O(7)Li5Co octahedra, corners with two equivalent O(9)Li5Co octahedra, corners with two equivalent O(1)Li4Co trigonal bipyramids,  an edgeedge with one O(5)Li4Co2 octahedra,  an edgeedge with one O(6)Li4Co2 octahedra,  an edgeedge with one O(4)Li5Co octahedra, and  an edgeedge with one O(8)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 45-60°. In the third O site, O(3) is bonded to one Li(2), one Li(4), one Li(6), two equivalent Li(3), and one Co(1) atom to form distorted OLi5Co octahedra that share  a cornercorner with one O(5)Li4Co2 octahedra, corners with two equivalent O(2)Li4Co2 octahedra, corners with two equivalent O(6)Li4Co2 octahedra, corners with two equivalent O(4)Li5Co octahedra, corners with two equivalent O(8)Li5Co octahedra,  a cornercorner with one O(1)Li4Co trigonal bipyramid,  an edgeedge with one O(3)Li5Co octahedra,  an edgeedge with one O(1)Li4Co trigonal bipyramid, and  a faceface with one O(5)Li4Co2 octahedra. The corner-sharing octahedral tilt angles range from 38-60°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(5), one Li(7), one Li(8), and one Co(1) atom to form distorted OLi5Co octahedra that share  a cornercorner with one O(9)Li5Co octahedra, corners with two equivalent O(3)Li5Co octahedra, corners with two equivalent O(7)Li5Co octahedra, corners with two equivalent O(1)Li4Co trigonal bipyramids,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(5)Li4Co2 octahedra,  an edgeedge with one O(6)Li4Co2 octahedra,  an edgeedge with one O(8)Li5Co octahedra, and  a faceface with one O(9)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 41-56°. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), one Li(4), one Li(8), one Co(2), and one Co(4) atom to form distorted OLi4Co2 octahedra that share  a cornercorner with one O(3)Li5Co octahedra, corners with two equivalent O(7)Li5Co octahedra, corners with two equivalent O(9)Li5Co octahedra,  a cornercorner with one O(1)Li4Co trigonal bipyramid,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(6)Li4Co2 octahedra,  an edgeedge with one O(4)Li5Co octahedra,  an edgeedge with one O(8)Li5Co octahedra, and  a faceface with one O(3)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 49-61°. In the sixth O site, O(6) is bonded to one Li(10), one Li(4), one Li(8), one Li(9), one Co(1), and one Co(3) atom to form distorted OLi4Co2 octahedra that share  a cornercorner with one O(7)Li5Co octahedra, corners with two equivalent O(3)Li5Co octahedra, corners with two equivalent O(9)Li5Co octahedra,  a cornercorner with one O(1)Li4Co trigonal bipyramid,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(5)Li4Co2 octahedra,  an edgeedge with one O(4)Li5Co octahedra,  an edgeedge with one O(8)Li5Co octahedra, and  a faceface with one O(7)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 37-59°. In the seventh O site, O(7) is bonded to one Li(10), one Li(7), one Li(8), two equivalent Li(9), and one Co(2) atom to form distorted OLi5Co octahedra that share  a cornercorner with one O(6)Li4Co2 octahedra, corners with two equivalent O(2)Li4Co2 octahedra, corners with two equivalent O(5)Li4Co2 octahedra, corners with two equivalent O(4)Li5Co octahedra, corners with two equivalent O(8)Li5Co octahedra,  an edgeedge with one O(7)Li5Co octahedra, edges with two equivalent O(9)Li5Co octahedra, and  a faceface with one O(6)Li4Co2 octahedra. The corner-sharing octahedral tilt angles range from 41-62°. In the eighth O site, O(8) is bonded to one Li(1), one Li(4), one Li(5), one Li(6), one Li(9), and one Co(4) atom to form distorted OLi5Co octahedra that share corners with two equivalent O(3)Li5Co octahedra, corners with two equivalent O(7)Li5Co octahedra, corners with two equivalent O(9)Li5Co octahedra,  a cornercorner with one O(1)Li4Co trigonal bipyramid,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(5)Li4Co2 octahedra,  an edgeedge with one O(6)Li4Co2 octahedra,  an edgeedge with one O(4)Li5Co octahedra, and  an edgeedge with one O(1)Li4Co trigonal bipyramid. The corner-sharing octahedral tilt angles range from 38-62°. In the ninth O site, O(9) is bonded to one Li(10), one Li(5), one Li(8), two equivalent Li(7), and one Co(4) atom to form distorted OLi5Co octahedra that share  a cornercorner with one O(4)Li5Co octahedra, corners with two equivalent O(2)Li4Co2 octahedra, corners with two equivalent O(5)Li4Co2 octahedra, corners with two equivalent O(6)Li4Co2 octahedra, corners with two equivalent O(8)Li5Co octahedra,  an edgeedge with one O(9)Li5Co octahedra, edges with two equivalent O(7)Li5Co octahedra, and  a faceface with one O(4)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 37-60°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li10Co4O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.579
_cell_length_b   7.753
_cell_length_c   9.810
_cell_angle_alpha   91.419
_cell_angle_beta   103.937
_cell_angle_gamma   119.017
_symmetry_Int_Tables_number   1
_cell_volume   482.403
_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  0.651  0.081  0.127  1.0
  Li  Li1  1  0.130  0.288  0.142  1.0
  Li  Li2  1  0.495  0.391  0.099  1.0
  Li  Li3  1  0.399  0.664  0.150  1.0
  Li  Li4  1  0.959  0.133  0.344  1.0
  Li  Li5  1  0.807  0.846  0.129  1.0
  Li  Li6  1  0.850  0.379  0.394  1.0
  Li  Li7  1  0.239  0.532  0.372  1.0
  Li  Li8  1  0.489  0.074  0.623  1.0
  Li  Li9  1  0.864  0.185  0.616  1.0
  Li  Li10  1  0.136  0.815  0.384  1.0
  Li  Li11  1  0.511  0.926  0.377  1.0
  Li  Li12  1  0.761  0.468  0.628  1.0
  Li  Li13  1  0.150  0.621  0.606  1.0
  Li  Li14  1  0.193  0.154  0.871  1.0
  Li  Li15  1  0.041  0.867  0.656  1.0
  Li  Li16  1  0.601  0.336  0.850  1.0
  Li  Li17  1  0.505  0.609  0.901  1.0
  Li  Li18  1  0.870  0.712  0.858  1.0
  Li  Li19  1  0.349  0.919  0.873  1.0
  Co  Co20  1  0.930  0.528  0.132  1.0
  Co  Co21  1  0.410  0.245  0.366  1.0
  Co  Co22  1  0.242  0.961  0.141  1.0
  Co  Co23  1  0.712  0.693  0.370  1.0
  Co  Co24  1  0.288  0.307  0.630  1.0
  Co  Co25  1  0.758  0.039  0.859  1.0
  Co  Co26  1  0.590  0.755  0.634  1.0
  Co  Co27  1  0.070  0.472  0.868  1.0
  O  O28  1  0.390  0.109  0.028  1.0
  O  O29  1  0.120  0.045  0.258  1.0
  O  O30  1  0.736  0.577  0.018  1.0
  O  O31  1  0.927  0.322  0.221  1.0
  O  O32  1  0.423  0.467  0.284  1.0
  O  O33  1  0.223  0.738  0.226  1.0
  O  O34  1  0.616  0.207  0.472  1.0
  O  O35  1  0.684  0.887  0.279  1.0
  O  O36  1  0.079  0.341  0.521  1.0
  O  O37  1  0.921  0.659  0.479  1.0
  O  O38  1  0.316  0.113  0.721  1.0
  O  O39  1  0.384  0.793  0.528  1.0
  O  O40  1  0.777  0.262  0.774  1.0
  O  O41  1  0.577  0.533  0.716  1.0
  O  O42  1  0.073  0.678  0.779  1.0
  O  O43  1  0.264  0.423  0.982  1.0
  O  O44  1  0.880  0.955  0.742  1.0
  O  O45  1  0.610  0.891  0.972  1.0
[/CIF]
.
The material structure described by Li10Co4O9 crystallizes in the triclinic P-1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(8)O5 trigonal bipyramid,  a cornercorner with one Li(2)O4 trigonal pyramid,  a cornercorner with one Li(4)O4 trigonal pyramid,  a cornercorner with one Li(6)O4 trigonal pyramid,  a cornercorner with one Li(7)O4 trigonal pyramid,  a cornercorner with one Li(9)O4 trigonal pyramid, corners with two equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Li(1)O4 trigonal pyramid,  an edgeedge with one Li(5)O4 trigonal pyramid, and  an edgeedge with one Li(6)O4 trigonal pyramid. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(4), and one O(5) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(1)O4 trigonal pyramid,  a cornercorner with one Li(3)O4 trigonal pyramid,  a cornercorner with one Li(7)O4 trigonal pyramid, corners with two equivalent Li(6)O4 trigonal pyramids,  an edgeedge with one Li(8)O5 trigonal bipyramid,  an edgeedge with one Li(3)O4 trigonal pyramid,  an edgeedge with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Li(5)O4 trigonal pyramid. In the third Li site, Li(3) is bonded to one O(1), one O(5), and two equivalent O(3) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(8)O5 trigonal bipyramid,  a cornercorner with one Li(2)O4 trigonal pyramid,  a cornercorner with one Li(4)O4 trigonal pyramid,  a cornercorner with one Li(6)O4 trigonal pyramid, corners with two equivalent Li(1)O4 trigonal pyramids,  an edgeedge with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(3)O4 trigonal pyramid,  an edgeedge with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Li(6)O4 trigonal pyramid. In the fourth Li site, Li(4) is bonded to one O(3), one O(5), one O(6), and one O(8) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(1)O4 trigonal pyramid,  a cornercorner with one Li(3)O4 trigonal pyramid,  a cornercorner with one Li(5)O4 trigonal pyramid, corners with two equivalent Li(6)O4 trigonal pyramids,  an edgeedge with one Li(8)O5 trigonal bipyramid,  an edgeedge with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(3)O4 trigonal pyramid, and  an edgeedge with one Li(9)O4 trigonal pyramid. In the fifth Li site, Li(5) is bonded to one O(2), one O(4), one O(8), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(4)O4 trigonal pyramid,  a cornercorner with one Li(7)O4 trigonal pyramid,  a cornercorner with one Li(9)O4 trigonal pyramid,  an edgeedge with one Li(8)O5 trigonal bipyramid,  an edgeedge with one Li(1)O4 trigonal pyramid,  an edgeedge with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(6)O4 trigonal pyramid, and  an edgeedge with one Li(7)O4 trigonal pyramid. In the sixth Li site, Li(6) is bonded to one O(1), one O(2), one O(3), and one O(8) atom to form a mixture of distorted corner and edge-sharing LiO4 trigonal pyramids. In the seventh Li site, Li(7) is bonded to one O(4), one O(7), and two equivalent O(9) atoms to form LiO4 trigonal pyramids that share  a cornercorner with one Li(1)O4 trigonal pyramid,  a cornercorner with one Li(2)O4 trigonal pyramid,  a cornercorner with one Li(5)O4 trigonal pyramid, corners with two equivalent Li(9)O4 trigonal pyramids, edges with two equivalent Li(8)O5 trigonal bipyramids,  an edgeedge with one Li(5)O4 trigonal pyramid, and  an edgeedge with one Li(7)O4 trigonal pyramid. In the eighth Li site, Li(8) is bonded to one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing LiO5 trigonal bipyramids. In the ninth Li site, Li(9) is bonded to one O(6), one O(8), and two equivalent O(7) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(8)O5 trigonal bipyramid,  a cornercorner with one Li(1)O4 trigonal pyramid,  a cornercorner with one Li(5)O4 trigonal pyramid,  a cornercorner with one Li(6)O4 trigonal pyramid, corners with two equivalent Li(7)O4 trigonal pyramids,  an edgeedge with one Li(8)O5 trigonal bipyramid,  an edgeedge with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Li(9)O4 trigonal pyramid. In the tenth Li site, Li(10) is bonded in a 4-coordinate geometry to one O(2), one O(6), one O(7), and one O(9) atom. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a distorted trigonal planar geometry to one O(3), one O(4), and one O(6) atom. In the second Co site, Co(2) is bonded in a distorted trigonal planar geometry to one O(2), one O(5), and one O(7) atom. In the third Co site, Co(3) is bonded in a distorted trigonal planar geometry to one O(1), one O(2), and one O(6) atom. In the fourth Co site, Co(4) is bonded in a distorted trigonal planar geometry to one O(5), one O(8), and one O(9) atom. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(6), two equivalent Li(1), and one Co(3) atom to form distorted OLi4Co trigonal bipyramids that share  a cornercorner with one O(5)Li4Co2 octahedra,  a cornercorner with one O(6)Li4Co2 octahedra,  a cornercorner with one O(3)Li5Co octahedra,  a cornercorner with one O(8)Li5Co octahedra, corners with two equivalent O(2)Li4Co2 octahedra, corners with two equivalent O(4)Li5Co octahedra,  an edgeedge with one O(3)Li5Co octahedra,  an edgeedge with one O(8)Li5Co octahedra, and  an edgeedge with one O(1)Li4Co trigonal bipyramid. The corner-sharing octahedral tilt angles range from 46-69°. In the second O site, O(2) is bonded to one Li(10), one Li(2), one Li(5), one Li(6), one Co(2), and one Co(3) atom to form OLi4Co2 octahedra that share corners with two equivalent O(3)Li5Co octahedra, corners with two equivalent O(7)Li5Co octahedra, corners with two equivalent O(9)Li5Co octahedra, corners with two equivalent O(1)Li4Co trigonal bipyramids,  an edgeedge with one O(5)Li4Co2 octahedra,  an edgeedge with one O(6)Li4Co2 octahedra,  an edgeedge with one O(4)Li5Co octahedra, and  an edgeedge with one O(8)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 45-60°. In the third O site, O(3) is bonded to one Li(2), one Li(4), one Li(6), two equivalent Li(3), and one Co(1) atom to form distorted OLi5Co octahedra that share  a cornercorner with one O(5)Li4Co2 octahedra, corners with two equivalent O(2)Li4Co2 octahedra, corners with two equivalent O(6)Li4Co2 octahedra, corners with two equivalent O(4)Li5Co octahedra, corners with two equivalent O(8)Li5Co octahedra,  a cornercorner with one O(1)Li4Co trigonal bipyramid,  an edgeedge with one O(3)Li5Co octahedra,  an edgeedge with one O(1)Li4Co trigonal bipyramid, and  a faceface with one O(5)Li4Co2 octahedra. The corner-sharing octahedral tilt angles range from 38-60°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(5), one Li(7), one Li(8), and one Co(1) atom to form distorted OLi5Co octahedra that share  a cornercorner with one O(9)Li5Co octahedra, corners with two equivalent O(3)Li5Co octahedra, corners with two equivalent O(7)Li5Co octahedra, corners with two equivalent O(1)Li4Co trigonal bipyramids,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(5)Li4Co2 octahedra,  an edgeedge with one O(6)Li4Co2 octahedra,  an edgeedge with one O(8)Li5Co octahedra, and  a faceface with one O(9)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 41-56°. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), one Li(4), one Li(8), one Co(2), and one Co(4) atom to form distorted OLi4Co2 octahedra that share  a cornercorner with one O(3)Li5Co octahedra, corners with two equivalent O(7)Li5Co octahedra, corners with two equivalent O(9)Li5Co octahedra,  a cornercorner with one O(1)Li4Co trigonal bipyramid,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(6)Li4Co2 octahedra,  an edgeedge with one O(4)Li5Co octahedra,  an edgeedge with one O(8)Li5Co octahedra, and  a faceface with one O(3)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 49-61°. In the sixth O site, O(6) is bonded to one Li(10), one Li(4), one Li(8), one Li(9), one Co(1), and one Co(3) atom to form distorted OLi4Co2 octahedra that share  a cornercorner with one O(7)Li5Co octahedra, corners with two equivalent O(3)Li5Co octahedra, corners with two equivalent O(9)Li5Co octahedra,  a cornercorner with one O(1)Li4Co trigonal bipyramid,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(5)Li4Co2 octahedra,  an edgeedge with one O(4)Li5Co octahedra,  an edgeedge with one O(8)Li5Co octahedra, and  a faceface with one O(7)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 37-59°. In the seventh O site, O(7) is bonded to one Li(10), one Li(7), one Li(8), two equivalent Li(9), and one Co(2) atom to form distorted OLi5Co octahedra that share  a cornercorner with one O(6)Li4Co2 octahedra, corners with two equivalent O(2)Li4Co2 octahedra, corners with two equivalent O(5)Li4Co2 octahedra, corners with two equivalent O(4)Li5Co octahedra, corners with two equivalent O(8)Li5Co octahedra,  an edgeedge with one O(7)Li5Co octahedra, edges with two equivalent O(9)Li5Co octahedra, and  a faceface with one O(6)Li4Co2 octahedra. The corner-sharing octahedral tilt angles range from 41-62°. In the eighth O site, O(8) is bonded to one Li(1), one Li(4), one Li(5), one Li(6), one Li(9), and one Co(4) atom to form distorted OLi5Co octahedra that share corners with two equivalent O(3)Li5Co octahedra, corners with two equivalent O(7)Li5Co octahedra, corners with two equivalent O(9)Li5Co octahedra,  a cornercorner with one O(1)Li4Co trigonal bipyramid,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(5)Li4Co2 octahedra,  an edgeedge with one O(6)Li4Co2 octahedra,  an edgeedge with one O(4)Li5Co octahedra, and  an edgeedge with one O(1)Li4Co trigonal bipyramid. The corner-sharing octahedral tilt angles range from 38-62°. In the ninth O site, O(9) is bonded to one Li(10), one Li(5), one Li(8), two equivalent Li(7), and one Co(4) atom to form distorted OLi5Co octahedra that share  a cornercorner with one O(4)Li5Co octahedra, corners with two equivalent O(2)Li4Co2 octahedra, corners with two equivalent O(5)Li4Co2 octahedra, corners with two equivalent O(6)Li4Co2 octahedra, corners with two equivalent O(8)Li5Co octahedra,  an edgeedge with one O(9)Li5Co octahedra, edges with two equivalent O(7)Li5Co octahedra, and  a faceface with one O(4)Li5Co octahedra. The corner-sharing octahedral tilt angles range from 37-60°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li10Co4O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.579
_cell_length_b   7.753
_cell_length_c   9.810
_cell_angle_alpha   91.419
_cell_angle_beta   103.937
_cell_angle_gamma   119.017
_symmetry_Int_Tables_number   1
_cell_volume   482.403
_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  0.651  0.081  0.127  1.0
  Li  Li1  1  0.130  0.288  0.142  1.0
  Li  Li2  1  0.495  0.391  0.099  1.0
  Li  Li3  1  0.399  0.664  0.150  1.0
  Li  Li4  1  0.959  0.133  0.344  1.0
  Li  Li5  1  0.807  0.846  0.129  1.0
  Li  Li6  1  0.850  0.379  0.394  1.0
  Li  Li7  1  0.239  0.532  0.372  1.0
  Li  Li8  1  0.489  0.074  0.623  1.0
  Li  Li9  1  0.864  0.185  0.616  1.0
  Li  Li10  1  0.136  0.815  0.384  1.0
  Li  Li11  1  0.511  0.926  0.377  1.0
  Li  Li12  1  0.761  0.468  0.628  1.0
  Li  Li13  1  0.150  0.621  0.606  1.0
  Li  Li14  1  0.193  0.154  0.871  1.0
  Li  Li15  1  0.041  0.867  0.656  1.0
  Li  Li16  1  0.601  0.336  0.850  1.0
  Li  Li17  1  0.505  0.609  0.901  1.0
  Li  Li18  1  0.870  0.712  0.858  1.0
  Li  Li19  1  0.349  0.919  0.873  1.0
  Co  Co20  1  0.930  0.528  0.132  1.0
  Co  Co21  1  0.410  0.245  0.366  1.0
  Co  Co22  1  0.242  0.961  0.141  1.0
  Co  Co23  1  0.712  0.693  0.370  1.0
  Co  Co24  1  0.288  0.307  0.630  1.0
  Co  Co25  1  0.758  0.039  0.859  1.0
  Co  Co26  1  0.590  0.755  0.634  1.0
  Co  Co27  1  0.070  0.472  0.868  1.0
  O  O28  1  0.390  0.109  0.028  1.0
  O  O29  1  0.120  0.045  0.258  1.0
  O  O30  1  0.736  0.577  0.018  1.0
  O  O31  1  0.927  0.322  0.221  1.0
  O  O32  1  0.423  0.467  0.284  1.0
  O  O33  1  0.223  0.738  0.226  1.0
  O  O34  1  0.616  0.207  0.472  1.0
  O  O35  1  0.684  0.887  0.279  1.0
  O  O36  1  0.079  0.341  0.521  1.0
  O  O37  1  0.921  0.659  0.479  1.0
  O  O38  1  0.316  0.113  0.721  1.0
  O  O39  1  0.384  0.793  0.528  1.0
  O  O40  1  0.777  0.262  0.774  1.0
  O  O41  1  0.577  0.533  0.716  1.0
  O  O42  1  0.073  0.678  0.779  1.0
  O  O43  1  0.264  0.423  0.982  1.0
  O  O44  1  0.880  0.955  0.742  1.0
  O  O45  1  0.610  0.891  0.972  1.0
[/CIF]
.