The material described by Li3(CoO2)4 crystallizes in the triclinic P-1 space group. There are three inequivalent Li sites. In the first Li site, Li(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 LiO6 octahedra that share corners with three equivalent Co(7)O6 octahedra, corners with three equivalent Co(8)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,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)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 4-13°. In the second Li site, Li(2) 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 LiO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with three equivalent Co(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. In the third Li site, Li(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 LiO6 octahedra that share corners with three equivalent Co(5)O6 octahedra, corners with three equivalent Co(6)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,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. There are eight 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 edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. 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 edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. In the third Co site, Co(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the fourth Co site, Co(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the fifth Co site, Co(5) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the sixth Co site, Co(6) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the seventh Co site, Co(7) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the eighth Co site, Co(8) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-13°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one Co(3), one Co(5), and one Co(7) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(4)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid,  an edgeedge with one O(8)Li2Co3 square pyramid, edges with three equivalent O(3)Li2Co3 square pyramids, edges with three equivalent O(5)Li2Co3 square pyramids, and edges with three equivalent O(7)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Co(4), one Co(6), and one Co(8) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid, edges with three equivalent O(4)Li2Co3 square pyramids, edges with three equivalent O(6)Li2Co3 square pyramids, and edges with three equivalent O(8)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Co(2), one Co(3), and one Co(5) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(4)Li2Co3 square pyramids, corners with three equivalent O(3)Li2Co3 square pyramids,  an edgeedge with one O(2)Li3Co3 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with two equivalent O(5)Li2Co3 square pyramids, and edges with two equivalent O(7)Li2Co3 square pyramids. In the fourth O site, O(4) is bonded to one Li(2), one Li(3), one Co(1), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(3)Li2Co3 square pyramids, corners with three equivalent O(4)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with two equivalent O(6)Li2Co3 square pyramids, and edges with two equivalent O(8)Li2Co3 square pyramids. In the fifth O site, O(5) is bonded to one Li(1), one Li(3), one Co(2), one Co(5), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(6)Li2Co3 square pyramids, corners with three equivalent O(5)Li2Co3 square pyramids,  an edgeedge with one O(2)Li3Co3 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with two equivalent O(3)Li2Co3 square pyramids, and edges with two equivalent O(7)Li2Co3 square pyramids. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Co(1), one Co(6), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(5)Li2Co3 square pyramids, corners with three equivalent O(6)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li2Co3 square pyramids, and edges with two equivalent O(8)Li2Co3 square pyramids. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Co(2), one Co(3), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(8)Li2Co3 square pyramids, corners with three equivalent O(7)Li2Co3 square pyramids,  an edgeedge with one O(2)Li3Co3 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with two equivalent O(3)Li2Co3 square pyramids, and edges with two equivalent O(5)Li2Co3 square pyramids. In the eighth O site, O(8) is bonded to one Li(1), one Li(2), one Co(1), one Co(4), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(7)Li2Co3 square pyramids, corners with three equivalent O(8)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li2Co3 square pyramids, and edges with two equivalent O(6)Li2Co3 square pyramids. is represented by the CIF card [CIF]
data_Li3(CoO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.717
_cell_length_b   5.814
_cell_length_c   5.935
_cell_angle_alpha   60.709
_cell_angle_beta   61.208
_cell_angle_gamma   60.643
_symmetry_Int_Tables_number   1
_cell_volume   142.178
_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  0.500  1.0
  Co  Co1  1  0.500  0.000  0.500  1.0
  Co  Co2  1  0.000  0.500  0.500  1.0
  Co  Co3  1  0.000  0.000  0.500  1.0
  Li  Li4  1  0.500  0.500  1.000  1.0
  Li  Li5  1  0.000  0.500  1.000  1.0
  Li  Li6  1  0.500  1.000  0.000  1.0
  O  O7  1  0.249  0.232  0.271  1.0
  O  O8  1  0.751  0.768  0.729  1.0
  O  O9  1  0.736  0.727  0.287  1.0
  O  O10  1  0.752  0.273  0.713  1.0
  O  O11  1  0.728  0.261  0.284  1.0
  O  O12  1  0.272  0.739  0.716  1.0
  O  O13  1  0.248  0.727  0.287  1.0
  O  O14  1  0.264  0.273  0.713  1.0
[/CIF]
.
The material described by Li3(CoO2)4 crystallizes in the triclinic P-1 space group. There are three inequivalent Li sites. In the first Li site, Li(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 LiO6 octahedra that share corners with three equivalent Co(7)O6 octahedra, corners with three equivalent Co(8)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,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)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 4-13°. In the second Li site, Li(2) 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 LiO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with three equivalent Co(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. In the third Li site, Li(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 LiO6 octahedra that share corners with three equivalent Co(5)O6 octahedra, corners with three equivalent Co(6)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,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. There are eight 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 edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. 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 edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. In the third Co site, Co(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the fourth Co site, Co(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the fifth Co site, Co(5) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the sixth Co site, Co(6) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the seventh Co site, Co(7) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the eighth Co site, Co(8) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-13°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one Co(3), one Co(5), and one Co(7) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(4)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid,  an edgeedge with one O(8)Li2Co3 square pyramid, edges with three equivalent O(3)Li2Co3 square pyramids, edges with three equivalent O(5)Li2Co3 square pyramids, and edges with three equivalent O(7)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Co(4), one Co(6), and one Co(8) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid, edges with three equivalent O(4)Li2Co3 square pyramids, edges with three equivalent O(6)Li2Co3 square pyramids, and edges with three equivalent O(8)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Co(2), one Co(3), and one Co(5) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(4)Li2Co3 square pyramids, corners with three equivalent O(3)Li2Co3 square pyramids,  an edgeedge with one O(2)Li3Co3 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with two equivalent O(5)Li2Co3 square pyramids, and edges with two equivalent O(7)Li2Co3 square pyramids. In the fourth O site, O(4) is bonded to one Li(2), one Li(3), one Co(1), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(3)Li2Co3 square pyramids, corners with three equivalent O(4)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with two equivalent O(6)Li2Co3 square pyramids, and edges with two equivalent O(8)Li2Co3 square pyramids. In the fifth O site, O(5) is bonded to one Li(1), one Li(3), one Co(2), one Co(5), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(6)Li2Co3 square pyramids, corners with three equivalent O(5)Li2Co3 square pyramids,  an edgeedge with one O(2)Li3Co3 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with two equivalent O(3)Li2Co3 square pyramids, and edges with two equivalent O(7)Li2Co3 square pyramids. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Co(1), one Co(6), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(5)Li2Co3 square pyramids, corners with three equivalent O(6)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li2Co3 square pyramids, and edges with two equivalent O(8)Li2Co3 square pyramids. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Co(2), one Co(3), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(8)Li2Co3 square pyramids, corners with three equivalent O(7)Li2Co3 square pyramids,  an edgeedge with one O(2)Li3Co3 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with two equivalent O(3)Li2Co3 square pyramids, and edges with two equivalent O(5)Li2Co3 square pyramids. In the eighth O site, O(8) is bonded to one Li(1), one Li(2), one Co(1), one Co(4), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(7)Li2Co3 square pyramids, corners with three equivalent O(8)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li2Co3 square pyramids, and edges with two equivalent O(6)Li2Co3 square pyramids. is represented by the CIF card [CIF]
data_Li3(CoO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.717
_cell_length_b   5.814
_cell_length_c   5.935
_cell_angle_alpha   60.709
_cell_angle_beta   61.208
_cell_angle_gamma   60.643
_symmetry_Int_Tables_number   1
_cell_volume   142.178
_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  0.500  1.0
  Co  Co1  1  0.500  0.000  0.500  1.0
  Co  Co2  1  0.000  0.500  0.500  1.0
  Co  Co3  1  0.000  0.000  0.500  1.0
  Li  Li4  1  0.500  0.500  1.000  1.0
  Li  Li5  1  0.000  0.500  1.000  1.0
  Li  Li6  1  0.500  1.000  0.000  1.0
  O  O7  1  0.249  0.232  0.271  1.0
  O  O8  1  0.751  0.768  0.729  1.0
  O  O9  1  0.736  0.727  0.287  1.0
  O  O10  1  0.752  0.273  0.713  1.0
  O  O11  1  0.728  0.261  0.284  1.0
  O  O12  1  0.272  0.739  0.716  1.0
  O  O13  1  0.248  0.727  0.287  1.0
  O  O14  1  0.264  0.273  0.713  1.0
[/CIF]
.