The compound described by Li10Co3Ni7O20 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2/m space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(4), one O(7), two equivalent O(1), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and edges with three equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the second Li site, Li(2) is bonded to one O(3), one O(5), two equivalent O(4), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, 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(1)O6 octahedra, and edges with three equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-12°. In the third Li site, Li(3) is bonded to one O(2), one O(8), two equivalent O(3), and two equivalent O(9) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the fourth Li site, Li(4) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Ni(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fifth Li site, Li(5) is bonded to one O(10), one O(9), two equivalent O(2), and two equivalent O(6) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Ni(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(4), two equivalent O(10), and two equivalent O(3) atoms to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the second Co site, Co(2) is bonded to two equivalent O(7) and four equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(5)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with four equivalent Li(4)O6 octahedra, and edges with four equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. There are four inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(5), one O(6), two equivalent O(7), and two equivalent O(9) atoms to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. In the second Ni site, Ni(2) is bonded to one O(9), two equivalent O(5), and three equivalent O(8) atoms to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the third Ni site, Ni(3) is bonded to one O(10), two equivalent O(4), and three equivalent O(1) atoms to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with four equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the fourth Ni site, Ni(4) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form NiO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Li(5)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ni(4)O6 octahedra, edges with four equivalent Li(3)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), two equivalent Li(1), and three equivalent Ni(3) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(10)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra, corners with two equivalent O(4)Li3CoNi2 octahedra, corners with two equivalent O(5)Li3Ni3 octahedra,  an edgeedge with one O(5)Li3Ni3 octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(7)Li3CoNi2 octahedra, edges with three equivalent O(4)Li3CoNi2 octahedra, and edges with four equivalent O(1)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the second O site, O(2) is bonded to one Li(3), two equivalent Li(5), one Co(1), and two equivalent Ni(4) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(4)Li3CoNi2 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(6)Li3Co2Ni octahedra, corners with two equivalent O(2)Li3CoNi2 octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(9)Li3Ni3 octahedra, edges with three equivalent O(2)Li3CoNi2 octahedra, and edges with four equivalent O(3)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the third O site, O(3) is bonded to one Li(2), two equivalent Li(3), two equivalent Co(1), and one Ni(4) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(3)Li3Co2Ni octahedra,  a cornercorner with one O(5)Li3Ni3 octahedra, corners with two equivalent O(10)Li3Co2Ni octahedra, corners with two equivalent O(9)Li3Ni3 octahedra,  an edgeedge with one O(10)Li3Co2Ni octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(3)Li3Co2Ni octahedra, edges with two equivalent O(4)Li3CoNi2 octahedra, edges with two equivalent O(8)Li3Ni3 octahedra, and edges with four equivalent O(2)Li3CoNi2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fourth O site, O(4) is bonded to one Li(1), two equivalent Li(2), one Co(1), and two equivalent Ni(3) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(2)Li3CoNi2 octahedra,  a cornercorner with one O(7)Li3CoNi2 octahedra, corners with two equivalent O(1)Li3Ni3 octahedra, corners with two equivalent O(8)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(3)Li3Co2Ni octahedra, edges with two equivalent O(4)Li3CoNi2 octahedra, edges with two equivalent O(5)Li3Ni3 octahedra, and edges with three equivalent O(1)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Li(1), one Ni(1), and two equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(3)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra, corners with two equivalent O(1)Li3Ni3 octahedra, corners with two equivalent O(8)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3Ni3 octahedra, edges with two equivalent O(4)Li3CoNi2 octahedra, edges with two equivalent O(7)Li3CoNi2 octahedra, edges with two equivalent O(5)Li3Ni3 octahedra, edges with two equivalent O(9)Li3Ni3 octahedra, and edges with three equivalent O(8)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the sixth O site, O(6) is bonded to one Li(4), two equivalent Li(5), two equivalent Co(2), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li3Ni3 octahedra,  a cornercorner with one O(5)Li3Ni3 octahedra, corners with two equivalent O(6)Li3Co2Ni octahedra, corners with two equivalent O(2)Li3CoNi2 octahedra,  an edgeedge with one O(2)Li3CoNi2 octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(9)Li3Ni3 octahedra, edges with three equivalent O(6)Li3Co2Ni octahedra, and edges with four equivalent O(7)Li3CoNi2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the seventh O site, O(7) is bonded to one Li(1), two equivalent Li(4), one Co(2), and two equivalent Ni(1) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(4)Li3CoNi2 octahedra,  a cornercorner with one O(7)Li3CoNi2 octahedra, corners with two equivalent O(10)Li3Co2Ni octahedra, corners with two equivalent O(9)Li3Ni3 octahedra,  an edgeedge with one O(10)Li3Co2Ni octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(7)Li3CoNi2 octahedra, edges with two equivalent O(1)Li3Ni3 octahedra, edges with two equivalent O(5)Li3Ni3 octahedra, and edges with four equivalent O(6)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Li(2), and three equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(2)Li3CoNi2 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(4)Li3CoNi2 octahedra, corners with two equivalent O(5)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3CoNi2 octahedra, edges with two equivalent O(3)Li3Co2Ni octahedra, edges with two equivalent O(9)Li3Ni3 octahedra, edges with three equivalent O(5)Li3Ni3 octahedra, and edges with four equivalent O(8)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the ninth O site, O(9) is bonded to one Li(5), two equivalent Li(3), one Ni(2), and two equivalent Ni(1) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(10)Li3Co2Ni octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(3)Li3Co2Ni octahedra, corners with two equivalent O(7)Li3CoNi2 octahedra,  an edgeedge with one O(3)Li3Co2Ni octahedra,  an edgeedge with one O(7)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Co2Ni octahedra, edges with two equivalent O(2)Li3CoNi2 octahedra, edges with two equivalent O(5)Li3Ni3 octahedra, edges with two equivalent O(8)Li3Ni3 octahedra, and edges with two equivalent O(9)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 2-3°. In the tenth O site, O(10) is bonded to one Li(5), two equivalent Li(4), two equivalent Co(1), and one Ni(3) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(3)Li3Co2Ni octahedra, corners with two equivalent O(7)Li3CoNi2 octahedra,  an edgeedge with one O(3)Li3Co2Ni octahedra,  an edgeedge with one O(7)Li3CoNi2 octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(6)Li3Co2Ni octahedra, edges with two equivalent O(2)Li3CoNi2 octahedra, edges with two equivalent O(4)Li3CoNi2 octahedra, and edges with two equivalent O(1)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li10Co3Ni7O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.839
_cell_length_b   11.662
_cell_length_c   11.440
_cell_angle_alpha   112.464
_cell_angle_beta   82.872
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   346.817
_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  0.600  0.551  0.800  1.0
  Li  Li1  1  0.600  0.050  0.800  1.0
  Li  Li2  1  0.799  0.148  0.401  1.0
  Li  Li3  1  0.800  0.651  0.401  1.0
  Li  Li4  1  0.401  0.947  0.198  1.0
  Li  Li5  1  0.399  0.453  0.202  1.0
  Li  Li6  1  0.200  0.849  0.600  1.0
  Li  Li7  1  0.200  0.350  0.600  1.0
  Li  Li8  1  0.001  0.252  0.999  1.0
  Li  Li9  1  0.000  0.749  0.999  1.0
  Co  Co10  1  0.801  0.399  0.399  1.0
  Co  Co11  1  0.400  0.700  0.200  1.0
  Co  Co12  1  0.999  0.001  0.001  1.0
  Ni  Ni13  1  0.803  0.900  0.394  1.0
  Ni  Ni14  1  0.600  0.302  0.800  1.0
  Ni  Ni15  1  0.600  0.798  0.800  1.0
  Ni  Ni16  1  0.200  0.602  0.600  1.0
  Ni  Ni17  1  0.400  0.200  0.200  1.0
  Ni  Ni18  1  0.200  0.098  0.600  1.0
  Ni  Ni19  1  0.997  0.500  0.006  1.0
  O  O20  1  0.700  0.724  0.600  1.0
  O  O21  1  0.891  0.331  0.218  1.0
  O  O22  1  0.500  0.112  0.001  1.0
  O  O23  1  0.710  0.470  0.579  1.0
  O  O24  1  0.701  0.986  0.598  1.0
  O  O25  1  0.898  0.592  0.205  1.0
  O  O26  1  0.902  0.808  0.195  1.0
  O  O27  1  0.491  0.618  0.018  1.0
  O  O28  1  0.701  0.209  0.598  1.0
  O  O29  1  0.909  0.069  0.182  1.0
  O  O30  1  0.301  0.013  0.397  1.0
  O  O31  1  0.090  0.930  0.821  1.0
  O  O32  1  0.300  0.509  0.399  1.0
  O  O33  1  0.309  0.782  0.382  1.0
  O  O34  1  0.499  0.387  0.003  1.0
  O  O35  1  0.100  0.676  0.800  1.0
  O  O36  1  0.099  0.191  0.802  1.0
  O  O37  1  0.099  0.414  0.802  1.0
  O  O38  1  0.500  0.891  0.001  1.0
  O  O39  1  0.300  0.288  0.399  1.0
[/CIF]
.
The compound described by Li10Co3Ni7O20 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2/m space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(4), one O(7), two equivalent O(1), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and edges with three equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the second Li site, Li(2) is bonded to one O(3), one O(5), two equivalent O(4), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, 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(1)O6 octahedra, and edges with three equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-12°. In the third Li site, Li(3) is bonded to one O(2), one O(8), two equivalent O(3), and two equivalent O(9) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the fourth Li site, Li(4) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Ni(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fifth Li site, Li(5) is bonded to one O(10), one O(9), two equivalent O(2), and two equivalent O(6) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Ni(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(4), two equivalent O(10), and two equivalent O(3) atoms to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the second Co site, Co(2) is bonded to two equivalent O(7) and four equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(5)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with four equivalent Li(4)O6 octahedra, and edges with four equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. There are four inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(5), one O(6), two equivalent O(7), and two equivalent O(9) atoms to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. In the second Ni site, Ni(2) is bonded to one O(9), two equivalent O(5), and three equivalent O(8) atoms to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the third Ni site, Ni(3) is bonded to one O(10), two equivalent O(4), and three equivalent O(1) atoms to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with four equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the fourth Ni site, Ni(4) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form NiO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Li(5)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ni(4)O6 octahedra, edges with four equivalent Li(3)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), two equivalent Li(1), and three equivalent Ni(3) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(10)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra, corners with two equivalent O(4)Li3CoNi2 octahedra, corners with two equivalent O(5)Li3Ni3 octahedra,  an edgeedge with one O(5)Li3Ni3 octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(7)Li3CoNi2 octahedra, edges with three equivalent O(4)Li3CoNi2 octahedra, and edges with four equivalent O(1)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the second O site, O(2) is bonded to one Li(3), two equivalent Li(5), one Co(1), and two equivalent Ni(4) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(4)Li3CoNi2 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(6)Li3Co2Ni octahedra, corners with two equivalent O(2)Li3CoNi2 octahedra,  an edgeedge with one O(6)Li3Co2Ni octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(9)Li3Ni3 octahedra, edges with three equivalent O(2)Li3CoNi2 octahedra, and edges with four equivalent O(3)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the third O site, O(3) is bonded to one Li(2), two equivalent Li(3), two equivalent Co(1), and one Ni(4) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(3)Li3Co2Ni octahedra,  a cornercorner with one O(5)Li3Ni3 octahedra, corners with two equivalent O(10)Li3Co2Ni octahedra, corners with two equivalent O(9)Li3Ni3 octahedra,  an edgeedge with one O(10)Li3Co2Ni octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(3)Li3Co2Ni octahedra, edges with two equivalent O(4)Li3CoNi2 octahedra, edges with two equivalent O(8)Li3Ni3 octahedra, and edges with four equivalent O(2)Li3CoNi2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fourth O site, O(4) is bonded to one Li(1), two equivalent Li(2), one Co(1), and two equivalent Ni(3) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(2)Li3CoNi2 octahedra,  a cornercorner with one O(7)Li3CoNi2 octahedra, corners with two equivalent O(1)Li3Ni3 octahedra, corners with two equivalent O(8)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(3)Li3Co2Ni octahedra, edges with two equivalent O(4)Li3CoNi2 octahedra, edges with two equivalent O(5)Li3Ni3 octahedra, and edges with three equivalent O(1)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Li(1), one Ni(1), and two equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(3)Li3Co2Ni octahedra,  a cornercorner with one O(6)Li3Co2Ni octahedra, corners with two equivalent O(1)Li3Ni3 octahedra, corners with two equivalent O(8)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3Ni3 octahedra, edges with two equivalent O(4)Li3CoNi2 octahedra, edges with two equivalent O(7)Li3CoNi2 octahedra, edges with two equivalent O(5)Li3Ni3 octahedra, edges with two equivalent O(9)Li3Ni3 octahedra, and edges with three equivalent O(8)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the sixth O site, O(6) is bonded to one Li(4), two equivalent Li(5), two equivalent Co(2), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li3Ni3 octahedra,  a cornercorner with one O(5)Li3Ni3 octahedra, corners with two equivalent O(6)Li3Co2Ni octahedra, corners with two equivalent O(2)Li3CoNi2 octahedra,  an edgeedge with one O(2)Li3CoNi2 octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(9)Li3Ni3 octahedra, edges with three equivalent O(6)Li3Co2Ni octahedra, and edges with four equivalent O(7)Li3CoNi2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the seventh O site, O(7) is bonded to one Li(1), two equivalent Li(4), one Co(2), and two equivalent Ni(1) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(4)Li3CoNi2 octahedra,  a cornercorner with one O(7)Li3CoNi2 octahedra, corners with two equivalent O(10)Li3Co2Ni octahedra, corners with two equivalent O(9)Li3Ni3 octahedra,  an edgeedge with one O(10)Li3Co2Ni octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(7)Li3CoNi2 octahedra, edges with two equivalent O(1)Li3Ni3 octahedra, edges with two equivalent O(5)Li3Ni3 octahedra, and edges with four equivalent O(6)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Li(2), and three equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(2)Li3CoNi2 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(4)Li3CoNi2 octahedra, corners with two equivalent O(5)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3CoNi2 octahedra, edges with two equivalent O(3)Li3Co2Ni octahedra, edges with two equivalent O(9)Li3Ni3 octahedra, edges with three equivalent O(5)Li3Ni3 octahedra, and edges with four equivalent O(8)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the ninth O site, O(9) is bonded to one Li(5), two equivalent Li(3), one Ni(2), and two equivalent Ni(1) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(10)Li3Co2Ni octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(3)Li3Co2Ni octahedra, corners with two equivalent O(7)Li3CoNi2 octahedra,  an edgeedge with one O(3)Li3Co2Ni octahedra,  an edgeedge with one O(7)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Co2Ni octahedra, edges with two equivalent O(2)Li3CoNi2 octahedra, edges with two equivalent O(5)Li3Ni3 octahedra, edges with two equivalent O(8)Li3Ni3 octahedra, and edges with two equivalent O(9)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 2-3°. In the tenth O site, O(10) is bonded to one Li(5), two equivalent Li(4), two equivalent Co(1), and one Ni(3) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(3)Li3Co2Ni octahedra, corners with two equivalent O(7)Li3CoNi2 octahedra,  an edgeedge with one O(3)Li3Co2Ni octahedra,  an edgeedge with one O(7)Li3CoNi2 octahedra, edges with two equivalent O(10)Li3Co2Ni octahedra, edges with two equivalent O(6)Li3Co2Ni octahedra, edges with two equivalent O(2)Li3CoNi2 octahedra, edges with two equivalent O(4)Li3CoNi2 octahedra, and edges with two equivalent O(1)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li10Co3Ni7O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.839
_cell_length_b   11.662
_cell_length_c   11.440
_cell_angle_alpha   112.464
_cell_angle_beta   82.872
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   346.817
_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  0.600  0.551  0.800  1.0
  Li  Li1  1  0.600  0.050  0.800  1.0
  Li  Li2  1  0.799  0.148  0.401  1.0
  Li  Li3  1  0.800  0.651  0.401  1.0
  Li  Li4  1  0.401  0.947  0.198  1.0
  Li  Li5  1  0.399  0.453  0.202  1.0
  Li  Li6  1  0.200  0.849  0.600  1.0
  Li  Li7  1  0.200  0.350  0.600  1.0
  Li  Li8  1  0.001  0.252  0.999  1.0
  Li  Li9  1  0.000  0.749  0.999  1.0
  Co  Co10  1  0.801  0.399  0.399  1.0
  Co  Co11  1  0.400  0.700  0.200  1.0
  Co  Co12  1  0.999  0.001  0.001  1.0
  Ni  Ni13  1  0.803  0.900  0.394  1.0
  Ni  Ni14  1  0.600  0.302  0.800  1.0
  Ni  Ni15  1  0.600  0.798  0.800  1.0
  Ni  Ni16  1  0.200  0.602  0.600  1.0
  Ni  Ni17  1  0.400  0.200  0.200  1.0
  Ni  Ni18  1  0.200  0.098  0.600  1.0
  Ni  Ni19  1  0.997  0.500  0.006  1.0
  O  O20  1  0.700  0.724  0.600  1.0
  O  O21  1  0.891  0.331  0.218  1.0
  O  O22  1  0.500  0.112  0.001  1.0
  O  O23  1  0.710  0.470  0.579  1.0
  O  O24  1  0.701  0.986  0.598  1.0
  O  O25  1  0.898  0.592  0.205  1.0
  O  O26  1  0.902  0.808  0.195  1.0
  O  O27  1  0.491  0.618  0.018  1.0
  O  O28  1  0.701  0.209  0.598  1.0
  O  O29  1  0.909  0.069  0.182  1.0
  O  O30  1  0.301  0.013  0.397  1.0
  O  O31  1  0.090  0.930  0.821  1.0
  O  O32  1  0.300  0.509  0.399  1.0
  O  O33  1  0.309  0.782  0.382  1.0
  O  O34  1  0.499  0.387  0.003  1.0
  O  O35  1  0.100  0.676  0.800  1.0
  O  O36  1  0.099  0.191  0.802  1.0
  O  O37  1  0.099  0.414  0.802  1.0
  O  O38  1  0.500  0.891  0.001  1.0
  O  O39  1  0.300  0.288  0.399  1.0
[/CIF]
.