The structure described by Li4Co5SnO12 crystallizes in the monoclinic C2/m space group. Li(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and  a faceface with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-51°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form CoO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, edges with three equivalent Co(3)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the second Co site, Co(2) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CoO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with three equivalent Co(2)O6 octahedra, edges with three equivalent Sn(1)O6 octahedra, and faces with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-42°. In the third Co site, Co(3) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form CoO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and edges with six equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. Sn(1) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form SnO6 octahedra that share corners with twelve equivalent Li(1)O6 octahedra and edges with six equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), two equivalent Co(2), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(2)Li2Co3 square pyramids, corners with two equivalent O(3)Li2Co3 square pyramids, corners with two equivalent O(4)Li2Co2Sn trigonal bipyramids, corners with three equivalent O(1)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(2)Li2Co3 square pyramid, edges with three equivalent O(4)Li2Co2Sn trigonal bipyramids, and edges with four equivalent O(1)Li2Co2Sn trigonal bipyramids. In the second O site, O(2) is bonded to two equivalent Li(1), one Co(3), and two equivalent Co(1) atoms to form OLi2Co3 square pyramids that share corners with two equivalent O(3)Li2Co3 square pyramids, corners with three equivalent O(2)Li2Co3 square pyramids, corners with two equivalent O(1)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(4)Li2Co2Sn trigonal bipyramids, edges with three equivalent O(3)Li2Co3 square pyramids, edges with four equivalent O(2)Li2Co3 square pyramids, and  an edgeedge with one O(1)Li2Co2Sn trigonal bipyramid. In the third O site, O(3) is bonded to two equivalent Li(1), one Co(3), and two equivalent Co(1) atoms to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid, corners with four equivalent O(2)Li2Co3 square pyramids, corners with four equivalent O(1)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(3)Li2Co3 square pyramid, edges with six equivalent O(2)Li2Co3 square pyramids, and  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid. In the fourth O site, O(4) is bonded to two equivalent Li(1), two equivalent Co(2), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with four equivalent O(2)Li2Co3 square pyramids,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid, corners with four equivalent O(1)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid, and edges with six equivalent O(1)Li2Co2Sn trigonal bipyramids. is represented by the CIF file [CIF]
data_Li4Co5SnO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.001
_cell_length_b   5.001
_cell_length_c   9.832
_cell_angle_alpha   85.324
_cell_angle_beta   85.324
_cell_angle_gamma   120.084
_symmetry_Int_Tables_number   1
_cell_volume   209.954
_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  0.421  0.753  0.741  1.0
  Li  Li1  1  0.247  0.579  0.259  1.0
  Li  Li2  1  0.753  0.421  0.741  1.0
  Li  Li3  1  0.579  0.247  0.259  1.0
  Co  Co4  1  0.166  0.834  0.500  1.0
  Co  Co5  1  0.667  0.333  0.000  1.0
  Co  Co6  1  0.333  0.667  0.000  1.0
  Co  Co7  1  0.834  0.166  0.500  1.0
  Co  Co8  1  0.500  0.500  0.500  1.0
  Sn  Sn9  1  0.000  0.000  0.000  1.0
  O  O10  1  0.321  0.964  0.111  1.0
  O  O11  1  0.036  0.679  0.889  1.0
  O  O12  1  0.526  0.862  0.399  1.0
  O  O13  1  0.862  0.526  0.399  1.0
  O  O14  1  0.138  0.474  0.601  1.0
  O  O15  1  0.791  0.791  0.602  1.0
  O  O16  1  0.474  0.138  0.601  1.0
  O  O17  1  0.964  0.321  0.111  1.0
  O  O18  1  0.607  0.607  0.111  1.0
  O  O19  1  0.679  0.036  0.889  1.0
  O  O20  1  0.393  0.393  0.889  1.0
  O  O21  1  0.209  0.209  0.398  1.0
[/CIF]
.
The structure described by Li4Co5SnO12 crystallizes in the monoclinic C2/m space group. Li(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and  a faceface with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-51°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form CoO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, edges with three equivalent Co(3)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the second Co site, Co(2) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CoO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with three equivalent Co(2)O6 octahedra, edges with three equivalent Sn(1)O6 octahedra, and faces with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-42°. In the third Co site, Co(3) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form CoO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and edges with six equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. Sn(1) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form SnO6 octahedra that share corners with twelve equivalent Li(1)O6 octahedra and edges with six equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), two equivalent Co(2), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(2)Li2Co3 square pyramids, corners with two equivalent O(3)Li2Co3 square pyramids, corners with two equivalent O(4)Li2Co2Sn trigonal bipyramids, corners with three equivalent O(1)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(2)Li2Co3 square pyramid, edges with three equivalent O(4)Li2Co2Sn trigonal bipyramids, and edges with four equivalent O(1)Li2Co2Sn trigonal bipyramids. In the second O site, O(2) is bonded to two equivalent Li(1), one Co(3), and two equivalent Co(1) atoms to form OLi2Co3 square pyramids that share corners with two equivalent O(3)Li2Co3 square pyramids, corners with three equivalent O(2)Li2Co3 square pyramids, corners with two equivalent O(1)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(4)Li2Co2Sn trigonal bipyramids, edges with three equivalent O(3)Li2Co3 square pyramids, edges with four equivalent O(2)Li2Co3 square pyramids, and  an edgeedge with one O(1)Li2Co2Sn trigonal bipyramid. In the third O site, O(3) is bonded to two equivalent Li(1), one Co(3), and two equivalent Co(1) atoms to form OLi2Co3 square pyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid, corners with four equivalent O(2)Li2Co3 square pyramids, corners with four equivalent O(1)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(3)Li2Co3 square pyramid, edges with six equivalent O(2)Li2Co3 square pyramids, and  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid. In the fourth O site, O(4) is bonded to two equivalent Li(1), two equivalent Co(2), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with four equivalent O(2)Li2Co3 square pyramids,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid, corners with four equivalent O(1)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid, and edges with six equivalent O(1)Li2Co2Sn trigonal bipyramids. is represented by the CIF file [CIF]
data_Li4Co5SnO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.001
_cell_length_b   5.001
_cell_length_c   9.832
_cell_angle_alpha   85.324
_cell_angle_beta   85.324
_cell_angle_gamma   120.084
_symmetry_Int_Tables_number   1
_cell_volume   209.954
_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  0.421  0.753  0.741  1.0
  Li  Li1  1  0.247  0.579  0.259  1.0
  Li  Li2  1  0.753  0.421  0.741  1.0
  Li  Li3  1  0.579  0.247  0.259  1.0
  Co  Co4  1  0.166  0.834  0.500  1.0
  Co  Co5  1  0.667  0.333  0.000  1.0
  Co  Co6  1  0.333  0.667  0.000  1.0
  Co  Co7  1  0.834  0.166  0.500  1.0
  Co  Co8  1  0.500  0.500  0.500  1.0
  Sn  Sn9  1  0.000  0.000  0.000  1.0
  O  O10  1  0.321  0.964  0.111  1.0
  O  O11  1  0.036  0.679  0.889  1.0
  O  O12  1  0.526  0.862  0.399  1.0
  O  O13  1  0.862  0.526  0.399  1.0
  O  O14  1  0.138  0.474  0.601  1.0
  O  O15  1  0.791  0.791  0.602  1.0
  O  O16  1  0.474  0.138  0.601  1.0
  O  O17  1  0.964  0.321  0.111  1.0
  O  O18  1  0.607  0.607  0.111  1.0
  O  O19  1  0.679  0.036  0.889  1.0
  O  O20  1  0.393  0.393  0.889  1.0
  O  O21  1  0.209  0.209  0.398  1.0
[/CIF]
.