The material described by Li5Co5(NiO6)2 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2 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(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the second Li site, Li(2) 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  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the third Li site, Li(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Co(4)O6 octahedra, and edges with three equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. There are four inequivalent Co sites. In the first Co site, Co(1) 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 two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Co(2)O6 octahedra, and edges with three equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the second Co site, Co(2) 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 two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the third Co site, Co(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 CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the fourth Co site, Co(4) 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 two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form NiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the second Ni site, Ni(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form NiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. There are six inequivalent O sites. In the first O site, O(6) is bonded to one Li(1), one Li(2), one Li(3), one Co(3), one Co(4), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with four equivalent O(2)Li3Co2Ni octahedra, and edges with four equivalent O(4)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the second O site, O(1) is bonded to one Li(1), one Li(2), one Co(1), one Co(2), one Co(3), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li3Co2Ni octahedra,  an edgeedge with one O(4)Li3Co2Ni octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with four equivalent O(3)Li2Co3Ni octahedra, and edges with four equivalent O(5)Li2Co3Ni octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the third O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Co(3), one Co(4), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li3Co2Ni octahedra, edges with four equivalent O(4)Li3Co2Ni octahedra, and edges with four equivalent O(6)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the fourth O site, O(3) is bonded to one Li(1), one Li(2), one Co(1), one Co(2), one Co(3), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li3Co2Ni octahedra,  an edgeedge with one O(4)Li3Co2Ni octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with four equivalent O(1)Li2Co3Ni octahedra, and edges with four equivalent O(5)Li2Co3Ni octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the fifth O site, O(4) is bonded to one Li(1), one Li(2), one Li(3), one Co(3), one Co(4), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li3Co2Ni octahedra, edges with four equivalent O(2)Li3Co2Ni octahedra, and edges with four equivalent O(6)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 2-7°. In the sixth O site, O(5) is bonded to one Li(1), one Li(2), one Co(1), one Co(2), one Co(3), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li3Co2Ni octahedra,  an edgeedge with one O(4)Li3Co2Ni octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with four equivalent O(1)Li2Co3Ni octahedra, and edges with four equivalent O(3)Li2Co3Ni octahedra. The corner-sharing octahedral tilt angles range from 1-11°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Co5(NiO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.030
_cell_length_b   5.030
_cell_length_c   9.569
_cell_angle_alpha   85.296
_cell_angle_beta   85.296
_cell_angle_gamma   119.756
_symmetry_Int_Tables_number   1
_cell_volume   207.343
_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
  Li  Li0  1  0.174  0.332  0.749  1.0
  Li  Li1  1  0.324  0.154  0.252  1.0
  Li  Li2  1  0.668  0.826  0.251  1.0
  Li  Li3  1  0.846  0.676  0.748  1.0
  Li  Li4  1  0.915  0.085  0.500  1.0
  Co  Co5  1  0.089  0.911  0.000  1.0
  Co  Co6  1  0.423  0.577  0.000  1.0
  Co  Co7  1  0.524  0.007  0.743  1.0
  Co  Co8  1  0.993  0.476  0.257  1.0
  Co  Co9  1  0.577  0.423  0.500  1.0
  Ni  Ni10  1  0.245  0.755  0.500  1.0
  Ni  Ni11  1  0.754  0.246  0.000  1.0
  O  O12  1  0.151  0.640  0.886  1.0
  O  O13  1  0.292  0.483  0.384  1.0
  O  O14  1  0.070  0.215  0.113  1.0
  O  O15  1  0.360  0.849  0.114  1.0
  O  O16  1  0.517  0.708  0.616  1.0
  O  O17  1  0.236  0.054  0.611  1.0
  O  O18  1  0.785  0.930  0.887  1.0
  O  O19  1  0.440  0.272  0.887  1.0
  O  O20  1  0.624  0.160  0.376  1.0
  O  O21  1  0.946  0.764  0.389  1.0
  O  O22  1  0.728  0.560  0.113  1.0
  O  O23  1  0.840  0.376  0.624  1.0
[/CIF]
.
The material described by Li5Co5(NiO6)2 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2 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(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the second Li site, Li(2) 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  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the third Li site, Li(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Co(4)O6 octahedra, and edges with three equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. There are four inequivalent Co sites. In the first Co site, Co(1) 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 two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Co(2)O6 octahedra, and edges with three equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the second Co site, Co(2) 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 two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the third Co site, Co(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 CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the fourth Co site, Co(4) 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 two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form NiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the second Ni site, Ni(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form NiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. There are six inequivalent O sites. In the first O site, O(6) is bonded to one Li(1), one Li(2), one Li(3), one Co(3), one Co(4), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with four equivalent O(2)Li3Co2Ni octahedra, and edges with four equivalent O(4)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the second O site, O(1) is bonded to one Li(1), one Li(2), one Co(1), one Co(2), one Co(3), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li3Co2Ni octahedra,  an edgeedge with one O(4)Li3Co2Ni octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with four equivalent O(3)Li2Co3Ni octahedra, and edges with four equivalent O(5)Li2Co3Ni octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the third O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Co(3), one Co(4), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li3Co2Ni octahedra, edges with four equivalent O(4)Li3Co2Ni octahedra, and edges with four equivalent O(6)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the fourth O site, O(3) is bonded to one Li(1), one Li(2), one Co(1), one Co(2), one Co(3), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li3Co2Ni octahedra,  an edgeedge with one O(4)Li3Co2Ni octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with four equivalent O(1)Li2Co3Ni octahedra, and edges with four equivalent O(5)Li2Co3Ni octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the fifth O site, O(4) is bonded to one Li(1), one Li(2), one Li(3), one Co(3), one Co(4), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li3Co2Ni octahedra, edges with four equivalent O(2)Li3Co2Ni octahedra, and edges with four equivalent O(6)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 2-7°. In the sixth O site, O(5) is bonded to one Li(1), one Li(2), one Co(1), one Co(2), one Co(3), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(2)Li3Co2Ni octahedra,  a cornercorner with one O(4)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li3Co2Ni octahedra,  an edgeedge with one O(4)Li3Co2Ni octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with four equivalent O(1)Li2Co3Ni octahedra, and edges with four equivalent O(3)Li2Co3Ni octahedra. The corner-sharing octahedral tilt angles range from 1-11°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Co5(NiO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.030
_cell_length_b   5.030
_cell_length_c   9.569
_cell_angle_alpha   85.296
_cell_angle_beta   85.296
_cell_angle_gamma   119.756
_symmetry_Int_Tables_number   1
_cell_volume   207.343
_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
  Li  Li0  1  0.174  0.332  0.749  1.0
  Li  Li1  1  0.324  0.154  0.252  1.0
  Li  Li2  1  0.668  0.826  0.251  1.0
  Li  Li3  1  0.846  0.676  0.748  1.0
  Li  Li4  1  0.915  0.085  0.500  1.0
  Co  Co5  1  0.089  0.911  0.000  1.0
  Co  Co6  1  0.423  0.577  0.000  1.0
  Co  Co7  1  0.524  0.007  0.743  1.0
  Co  Co8  1  0.993  0.476  0.257  1.0
  Co  Co9  1  0.577  0.423  0.500  1.0
  Ni  Ni10  1  0.245  0.755  0.500  1.0
  Ni  Ni11  1  0.754  0.246  0.000  1.0
  O  O12  1  0.151  0.640  0.886  1.0
  O  O13  1  0.292  0.483  0.384  1.0
  O  O14  1  0.070  0.215  0.113  1.0
  O  O15  1  0.360  0.849  0.114  1.0
  O  O16  1  0.517  0.708  0.616  1.0
  O  O17  1  0.236  0.054  0.611  1.0
  O  O18  1  0.785  0.930  0.887  1.0
  O  O19  1  0.440  0.272  0.887  1.0
  O  O20  1  0.624  0.160  0.376  1.0
  O  O21  1  0.946  0.764  0.389  1.0
  O  O22  1  0.728  0.560  0.113  1.0
  O  O23  1  0.840  0.376  0.624  1.0
[/CIF]
.