The compound described by Li3Co2Ni3O10 crystallizes in the monoclinic P2/m space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with four equivalent Ni(1)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 Ni(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-16°. In the second Li site, Li(2) is bonded to one O(1), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with four equivalent 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(3)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the third Li site, Li(3) is bonded to one O(10), one O(7), two equivalent O(8), and two equivalent O(9) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with five equivalent Ni(3)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 Ni(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-16°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles are 3°. In the second Co site, Co(2) is bonded to two equivalent O(2) and four equivalent O(4) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. In the third Co site, Co(3) is bonded to two equivalent O(8) and four equivalent O(10) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with four equivalent Li(3)O6 octahedra, and edges with four equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(3), one O(7), two equivalent O(1), and two equivalent O(5) atoms to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra, corners with four equivalent Li(1)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 Ni(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-14°. In the second Ni site, Ni(2) is bonded to one O(5), one O(9), two equivalent O(6), and two equivalent O(7) atoms to form NiO6 octahedra that share corners with four equivalent Li(2)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 Ni(1)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles are 4°. In the third Ni site, Ni(3) is bonded to one O(10), one O(6), two equivalent O(8), and two equivalent O(9) atoms to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with five equivalent Li(3)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 Ni(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-16°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), two equivalent Li(1), one Co(1), and two equivalent Ni(1) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(8)Li3CoNi2 octahedra, corners with four equivalent O(5)Li2Ni3 square pyramids, edges with two equivalent O(1)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, and edges with two equivalent O(5)Li2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the second O site, O(2) is bonded in a see-saw-like geometry to one Li(1), one Co(2), and two equivalent Co(1) atoms. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Co(1) and one Ni(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Co(1) and two equivalent Co(2) atoms. In the fifth O site, O(5) is bonded to two equivalent Li(1), one Ni(2), and two equivalent Ni(1) atoms to form OLi2Ni3 square pyramids that share corners with four equivalent O(1)Li3CoNi2 octahedra,  a cornercorner with one O(9)Li2Ni3 square pyramid, edges with two equivalent O(1)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, and edges with two equivalent O(5)Li2Ni3 square pyramids. The corner-sharing octahedral tilt angles range from 2-6°. In the sixth O site, O(6) is bonded to one Li(1), two equivalent Li(2), one Ni(3), and two equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share corners with four equivalent O(7)Li3Ni3 octahedra, edges with two equivalent O(1)Li3CoNi2 octahedra, edges with two equivalent O(8)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, edges with two equivalent O(5)Li2Ni3 square pyramids, and edges with two equivalent O(9)Li2Ni3 square pyramids. The corner-sharing octahedra are not tilted. In the seventh O site, O(7) is bonded to one Li(3), two equivalent Li(2), one Ni(1), and two equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share corners with four equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(1)Li3CoNi2 octahedra, edges with two equivalent O(8)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, edges with two equivalent O(5)Li2Ni3 square pyramids, and edges with two equivalent O(9)Li2Ni3 square pyramids. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded to one Li(2), two equivalent Li(3), one Co(3), and two equivalent Ni(3) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(1)Li3CoNi2 octahedra,  a cornercorner with one O(8)Li3CoNi2 octahedra, corners with four equivalent O(9)Li2Ni3 square pyramids, edges with two equivalent O(8)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, and edges with two equivalent O(9)Li2Ni3 square pyramids. The corner-sharing octahedral tilt angles range from 0-1°. In the ninth O site, O(9) is bonded to two equivalent Li(3), one Ni(2), and two equivalent Ni(3) atoms to form OLi2Ni3 square pyramids that share corners with four equivalent O(8)Li3CoNi2 octahedra,  a cornercorner with one O(5)Li2Ni3 square pyramid, edges with two equivalent O(8)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, and edges with two equivalent O(9)Li2Ni3 square pyramids. The corner-sharing octahedral tilt angles range from 3-6°. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Co(3), and one Ni(3) atom. is represented by the CIF file [CIF]
data_Li3Co2Ni3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.874
_cell_length_b   5.842
_cell_length_c   20.680
_cell_angle_alpha   82.436
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   344.184
_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  0.000  0.110  0.305  1.0
  Li  Li1  1  0.500  0.900  0.200  1.0
  Li  Li2  1  0.000  0.688  0.096  1.0
  Li  Li3  1  0.000  0.312  0.904  1.0
  Li  Li4  1  0.500  0.100  0.800  1.0
  Li  Li5  1  0.000  0.890  0.695  1.0
  Co  Co6  1  0.500  0.210  0.597  1.0
  Co  Co7  1  0.000  0.000  0.500  1.0
  Co  Co8  1  0.500  0.790  0.403  1.0
  Co  Co9  1  0.500  0.000  0.000  1.0
  Ni  Ni10  1  0.000  0.595  0.302  1.0
  Ni  Ni11  1  0.500  0.399  0.201  1.0
  Ni  Ni12  1  0.000  0.208  0.098  1.0
  Ni  Ni13  1  0.000  0.792  0.902  1.0
  Ni  Ni14  1  0.500  0.601  0.799  1.0
  Ni  Ni15  1  0.000  0.405  0.698  1.0
  O  O16  1  0.500  0.171  0.690  1.0
  O  O17  1  0.000  0.994  0.596  1.0
  O  O18  1  0.000  0.414  0.600  1.0
  O  O19  1  0.500  0.213  0.506  1.0
  O  O20  1  0.500  0.787  0.494  1.0
  O  O21  1  0.000  0.006  0.404  1.0
  O  O22  1  0.000  0.586  0.400  1.0
  O  O23  1  0.500  0.368  0.292  1.0
  O  O24  1  0.500  0.829  0.310  1.0
  O  O25  1  0.000  0.167  0.200  1.0
  O  O26  1  0.000  0.633  0.201  1.0
  O  O27  1  0.500  0.973  0.092  1.0
  O  O28  1  0.500  0.431  0.109  1.0
  O  O29  1  0.000  0.213  0.999  1.0
  O  O30  1  0.000  0.787  0.001  1.0
  O  O31  1  0.500  0.027  0.908  1.0
  O  O32  1  0.500  0.569  0.891  1.0
  O  O33  1  0.000  0.367  0.799  1.0
  O  O34  1  0.000  0.833  0.800  1.0
  O  O35  1  0.500  0.632  0.708  1.0
[/CIF]
.
The compound described by Li3Co2Ni3O10 crystallizes in the monoclinic P2/m space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with four equivalent Ni(1)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 Ni(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-16°. In the second Li site, Li(2) is bonded to one O(1), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with four equivalent 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(3)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the third Li site, Li(3) is bonded to one O(10), one O(7), two equivalent O(8), and two equivalent O(9) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with five equivalent Ni(3)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 Ni(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-16°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles are 3°. In the second Co site, Co(2) is bonded to two equivalent O(2) and four equivalent O(4) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. In the third Co site, Co(3) is bonded to two equivalent O(8) and four equivalent O(10) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with four equivalent Li(3)O6 octahedra, and edges with four equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(3), one O(7), two equivalent O(1), and two equivalent O(5) atoms to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra, corners with four equivalent Li(1)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 Ni(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-14°. In the second Ni site, Ni(2) is bonded to one O(5), one O(9), two equivalent O(6), and two equivalent O(7) atoms to form NiO6 octahedra that share corners with four equivalent Li(2)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 Ni(1)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles are 4°. In the third Ni site, Ni(3) is bonded to one O(10), one O(6), two equivalent O(8), and two equivalent O(9) atoms to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with five equivalent Li(3)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 Ni(2)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-16°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), two equivalent Li(1), one Co(1), and two equivalent Ni(1) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(8)Li3CoNi2 octahedra, corners with four equivalent O(5)Li2Ni3 square pyramids, edges with two equivalent O(1)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, and edges with two equivalent O(5)Li2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the second O site, O(2) is bonded in a see-saw-like geometry to one Li(1), one Co(2), and two equivalent Co(1) atoms. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Co(1) and one Ni(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Co(1) and two equivalent Co(2) atoms. In the fifth O site, O(5) is bonded to two equivalent Li(1), one Ni(2), and two equivalent Ni(1) atoms to form OLi2Ni3 square pyramids that share corners with four equivalent O(1)Li3CoNi2 octahedra,  a cornercorner with one O(9)Li2Ni3 square pyramid, edges with two equivalent O(1)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, and edges with two equivalent O(5)Li2Ni3 square pyramids. The corner-sharing octahedral tilt angles range from 2-6°. In the sixth O site, O(6) is bonded to one Li(1), two equivalent Li(2), one Ni(3), and two equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share corners with four equivalent O(7)Li3Ni3 octahedra, edges with two equivalent O(1)Li3CoNi2 octahedra, edges with two equivalent O(8)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, edges with two equivalent O(5)Li2Ni3 square pyramids, and edges with two equivalent O(9)Li2Ni3 square pyramids. The corner-sharing octahedra are not tilted. In the seventh O site, O(7) is bonded to one Li(3), two equivalent Li(2), one Ni(1), and two equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share corners with four equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(1)Li3CoNi2 octahedra, edges with two equivalent O(8)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, edges with two equivalent O(5)Li2Ni3 square pyramids, and edges with two equivalent O(9)Li2Ni3 square pyramids. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded to one Li(2), two equivalent Li(3), one Co(3), and two equivalent Ni(3) atoms to form OLi3CoNi2 octahedra that share  a cornercorner with one O(1)Li3CoNi2 octahedra,  a cornercorner with one O(8)Li3CoNi2 octahedra, corners with four equivalent O(9)Li2Ni3 square pyramids, edges with two equivalent O(8)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, and edges with two equivalent O(9)Li2Ni3 square pyramids. The corner-sharing octahedral tilt angles range from 0-1°. In the ninth O site, O(9) is bonded to two equivalent Li(3), one Ni(2), and two equivalent Ni(3) atoms to form OLi2Ni3 square pyramids that share corners with four equivalent O(8)Li3CoNi2 octahedra,  a cornercorner with one O(5)Li2Ni3 square pyramid, edges with two equivalent O(8)Li3CoNi2 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(7)Li3Ni3 octahedra, and edges with two equivalent O(9)Li2Ni3 square pyramids. The corner-sharing octahedral tilt angles range from 3-6°. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Co(3), and one Ni(3) atom. is represented by the CIF file [CIF]
data_Li3Co2Ni3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.874
_cell_length_b   5.842
_cell_length_c   20.680
_cell_angle_alpha   82.436
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   344.184
_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  0.000  0.110  0.305  1.0
  Li  Li1  1  0.500  0.900  0.200  1.0
  Li  Li2  1  0.000  0.688  0.096  1.0
  Li  Li3  1  0.000  0.312  0.904  1.0
  Li  Li4  1  0.500  0.100  0.800  1.0
  Li  Li5  1  0.000  0.890  0.695  1.0
  Co  Co6  1  0.500  0.210  0.597  1.0
  Co  Co7  1  0.000  0.000  0.500  1.0
  Co  Co8  1  0.500  0.790  0.403  1.0
  Co  Co9  1  0.500  0.000  0.000  1.0
  Ni  Ni10  1  0.000  0.595  0.302  1.0
  Ni  Ni11  1  0.500  0.399  0.201  1.0
  Ni  Ni12  1  0.000  0.208  0.098  1.0
  Ni  Ni13  1  0.000  0.792  0.902  1.0
  Ni  Ni14  1  0.500  0.601  0.799  1.0
  Ni  Ni15  1  0.000  0.405  0.698  1.0
  O  O16  1  0.500  0.171  0.690  1.0
  O  O17  1  0.000  0.994  0.596  1.0
  O  O18  1  0.000  0.414  0.600  1.0
  O  O19  1  0.500  0.213  0.506  1.0
  O  O20  1  0.500  0.787  0.494  1.0
  O  O21  1  0.000  0.006  0.404  1.0
  O  O22  1  0.000  0.586  0.400  1.0
  O  O23  1  0.500  0.368  0.292  1.0
  O  O24  1  0.500  0.829  0.310  1.0
  O  O25  1  0.000  0.167  0.200  1.0
  O  O26  1  0.000  0.633  0.201  1.0
  O  O27  1  0.500  0.973  0.092  1.0
  O  O28  1  0.500  0.431  0.109  1.0
  O  O29  1  0.000  0.213  0.999  1.0
  O  O30  1  0.000  0.787  0.001  1.0
  O  O31  1  0.500  0.027  0.908  1.0
  O  O32  1  0.500  0.569  0.891  1.0
  O  O33  1  0.000  0.367  0.799  1.0
  O  O34  1  0.000  0.833  0.800  1.0
  O  O35  1  0.500  0.632  0.708  1.0
[/CIF]
.