The structure described by Li4Co5SnO12 crystallizes in the monoclinic C2 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(11), one O(3), one O(5), one O(7), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with three equivalent Co(8)O6 octahedra, corners with three equivalent Sn(1)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, edges with three equivalent Li(3)O6 octahedra, and  a faceface with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-52°. In the second Li site, Li(2) is bonded to one O(10), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Co(8)O6 octahedra, corners with three equivalent Sn(1)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, edges with three equivalent Li(4)O6 octahedra, and  a faceface with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-52°. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(3), one O(5), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with three equivalent Co(4)O6 octahedra, corners with three equivalent Sn(1)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, edges with three equivalent Li(1)O6 octahedra, and  a faceface with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-52°. In the fourth Li site, Li(4) is bonded to one O(10), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Co(4)O6 octahedra, corners with three equivalent Sn(1)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, edges with three equivalent Li(2)O6 octahedra, and  a faceface with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-52°. There are eight inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with three equivalent Co(2)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-14°. In the second Co site, Co(2) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-12°. In the third Co site, Co(3) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)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 11-13°. In the fourth Co site, Co(4) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra, edges with three equivalent Co(8)O6 octahedra, edges with three equivalent Sn(1)O6 octahedra,  a faceface with one Li(1)O6 octahedra, and  a faceface with one Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-43°. In the fifth Co site, Co(5) is bonded to two equivalent O(1), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Co(6)O6 octahedra, and edges with three equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the sixth Co site, Co(6) is bonded to two equivalent O(1), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Co(5)O6 octahedra, and edges with three equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. In the seventh Co site, Co(7) is bonded to two equivalent O(1), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Co(5)O6 octahedra, and edges with three equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. In the eighth Co site, Co(8) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, edges with three equivalent Co(4)O6 octahedra, edges with three equivalent Sn(1)O6 octahedra,  a faceface with one Li(3)O6 octahedra, and  a faceface with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-43°. Sn(1) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form SnO6 octahedra that share corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra, edges with three equivalent Co(4)O6 octahedra, and edges with three equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), one Co(5), one Co(6), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid, corners with two equivalent O(11)Li2Co3 square pyramids, corners with two equivalent O(9)Li2Co3 square pyramids, corners with two equivalent O(5)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(7)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid, edges with three equivalent O(11)Li2Co3 square pyramids, edges with three equivalent O(9)Li2Co3 square pyramids, and  an edgeedge with one O(3)Li2Co2Sn trigonal bipyramid. In the second O site, O(2) is bonded to one Li(2), one Li(4), one Co(1), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(10)Li2Co3 square pyramids, corners with two equivalent O(12)Li2Co3 square pyramids, corners with two equivalent O(6)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(8)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(2)Li2Co3 square pyramid, edges with three equivalent O(10)Li2Co3 square pyramids, edges with three equivalent O(12)Li2Co3 square pyramids, and  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(11)Li2Co3 square pyramids, corners with two equivalent O(9)Li2Co3 square pyramids,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(6)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(8)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(5)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(7)Li2Co2Sn trigonal bipyramids. In the fourth O site, O(4) is bonded to one Li(2), one Li(4), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(10)Li2Co3 square pyramids, corners with two equivalent O(12)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(5)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(7)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(6)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(8)Li2Co2Sn trigonal bipyramids. In the fifth O site, O(5) is bonded to one Li(1), one Li(3), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(1)Li2Co3 square pyramids, corners with two equivalent O(11)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(6)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(8)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(3)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(7)Li2Co2Sn trigonal bipyramids. In the sixth O site, O(6) is bonded to one Li(2), one Li(4), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(12)Li2Co3 square pyramids, corners with two equivalent O(2)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(5)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(7)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(4)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(8)Li2Co2Sn trigonal bipyramids. In the seventh O site, O(7) is bonded to one Li(1), one Li(3), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(1)Li2Co3 square pyramids, corners with two equivalent O(9)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(6)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(8)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(3)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(5)Li2Co2Sn trigonal bipyramids. In the eighth O site, O(8) is bonded to one Li(2), one Li(4), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(10)Li2Co3 square pyramids, corners with two equivalent O(2)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(5)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(7)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(4)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(6)Li2Co2Sn trigonal bipyramids. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Co(5), one Co(6), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(1)Li2Co3 square pyramids, corners with two equivalent O(11)Li2Co3 square pyramids, corners with two equivalent O(3)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(7)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(9)Li2Co3 square pyramid, edges with three equivalent O(1)Li2Co3 square pyramids, edges with three equivalent O(11)Li2Co3 square pyramids, and  an edgeedge with one O(5)Li2Co2Sn trigonal bipyramid. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Co(1), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid, corners with two equivalent O(12)Li2Co3 square pyramids, corners with two equivalent O(2)Li2Co3 square pyramids, corners with two equivalent O(4)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(8)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(10)Li2Co3 square pyramid, edges with three equivalent O(12)Li2Co3 square pyramids, edges with three equivalent O(2)Li2Co3 square pyramids, and  an edgeedge with one O(6)Li2Co2Sn trigonal bipyramid. In the eleventh O site, O(11) is bonded to one Li(1), one Li(3), one Co(5), one Co(6), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid, corners with two equivalent O(1)Li2Co3 square pyramids, corners with two equivalent O(9)Li2Co3 square pyramids, corners with two equivalent O(3)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(5)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(11)Li2Co3 square pyramid, edges with three equivalent O(1)Li2Co3 square pyramids, edges with three equivalent O(9)Li2Co3 square pyramids, and  an edgeedge with one O(7)Li2Co2Sn trigonal bipyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(4), one Co(1), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(12)Li2Co3 square pyramid, corners with two equivalent O(10)Li2Co3 square pyramids, corners with two equivalent O(2)Li2Co3 square pyramids, corners with two equivalent O(4)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(6)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(12)Li2Co3 square pyramid, edges with three equivalent O(10)Li2Co3 square pyramids, edges with three equivalent O(2)Li2Co3 square pyramids, and  an edgeedge with one O(8)Li2Co2Sn trigonal bipyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Co5SnO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.081
_cell_length_b   5.058
_cell_length_c   19.792
_cell_angle_alpha   92.431
_cell_angle_beta   85.097
_cell_angle_gamma   120.110
_symmetry_Int_Tables_number   1
_cell_volume   438.380
_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  0.211  0.330  0.373  1.0
  Li  Li1  1  0.714  0.339  0.872  1.0
  Li  Li2  1  0.620  0.330  0.127  1.0
  Li  Li3  1  0.125  0.339  0.628  1.0
  Li  Li4  1  0.880  0.670  0.373  1.0
  Li  Li5  1  0.370  0.663  0.872  1.0
  Li  Li6  1  0.290  0.670  0.127  1.0
  Li  Li7  1  0.793  0.663  0.628  1.0
  Co  Co8  1  0.752  0.003  0.750  1.0
  Co  Co9  1  0.081  0.661  0.750  1.0
  Co  Co10  1  0.413  0.326  0.750  1.0
  Co  Co11  1  0.667  0.333  1.000  1.0
  Co  Co12  1  0.167  0.333  0.500  1.0
  Co  Co13  1  0.250  0.000  0.250  1.0
  Co  Co14  1  0.585  0.670  0.250  1.0
  Co  Co15  1  0.915  0.330  0.250  1.0
  Co  Co16  1  0.834  0.667  0.500  1.0
  Co  Co17  1  0.333  0.667  1.000  1.0
  Sn  Sn18  1  1.000  0.000  0.000  1.0
  Sn  Sn19  1  0.501  0.000  0.500  1.0
  O  O20  1  0.921  0.001  0.302  1.0
  O  O21  1  0.408  0.996  0.798  1.0
  O  O22  1  0.578  0.999  0.198  1.0
  O  O23  1  0.088  0.996  0.702  1.0
  O  O24  1  0.339  0.000  0.053  1.0
  O  O25  1  0.838  1.000  0.554  1.0
  O  O26  1  0.161  0.000  0.447  1.0
  O  O27  1  0.662  1.000  0.946  1.0
  O  O28  1  0.625  0.643  0.054  1.0
  O  O29  1  0.126  0.645  0.553  1.0
  O  O30  1  0.519  0.643  0.446  1.0
  O  O31  1  0.019  0.645  0.947  1.0
  O  O32  1  0.981  0.357  0.054  1.0
  O  O33  1  0.482  0.356  0.554  1.0
  O  O34  1  0.876  0.357  0.446  1.0
  O  O35  1  0.374  0.356  0.946  1.0
  O  O36  1  0.281  0.324  0.197  1.0
  O  O37  1  0.806  0.361  0.695  1.0
  O  O38  1  0.957  0.675  0.198  1.0
  O  O39  1  0.417  0.644  0.700  1.0
  O  O40  1  0.543  0.324  0.303  1.0
  O  O41  1  0.056  0.361  0.805  1.0
  O  O42  1  0.220  0.676  0.303  1.0
  O  O43  1  0.727  0.645  0.800  1.0
[/CIF]
.
The structure described by Li4Co5SnO12 crystallizes in the monoclinic C2 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(11), one O(3), one O(5), one O(7), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with three equivalent Co(8)O6 octahedra, corners with three equivalent Sn(1)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, edges with three equivalent Li(3)O6 octahedra, and  a faceface with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-52°. In the second Li site, Li(2) is bonded to one O(10), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Co(8)O6 octahedra, corners with three equivalent Sn(1)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, edges with three equivalent Li(4)O6 octahedra, and  a faceface with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-52°. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(3), one O(5), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with three equivalent Co(4)O6 octahedra, corners with three equivalent Sn(1)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, edges with three equivalent Li(1)O6 octahedra, and  a faceface with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-52°. In the fourth Li site, Li(4) is bonded to one O(10), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Co(4)O6 octahedra, corners with three equivalent Sn(1)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, edges with three equivalent Li(2)O6 octahedra, and  a faceface with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-52°. There are eight inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with three equivalent Co(2)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-14°. In the second Co site, Co(2) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-12°. In the third Co site, Co(3) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form CoO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)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 11-13°. In the fourth Co site, Co(4) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra, edges with three equivalent Co(8)O6 octahedra, edges with three equivalent Sn(1)O6 octahedra,  a faceface with one Li(1)O6 octahedra, and  a faceface with one Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-43°. In the fifth Co site, Co(5) is bonded to two equivalent O(1), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Co(6)O6 octahedra, and edges with three equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the sixth Co site, Co(6) is bonded to two equivalent O(1), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Co(5)O6 octahedra, and edges with three equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. In the seventh Co site, Co(7) is bonded to two equivalent O(1), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Co(5)O6 octahedra, and edges with three equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. In the eighth Co site, Co(8) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, edges with three equivalent Co(4)O6 octahedra, edges with three equivalent Sn(1)O6 octahedra,  a faceface with one Li(3)O6 octahedra, and  a faceface with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-43°. Sn(1) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form SnO6 octahedra that share corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra, edges with three equivalent Co(4)O6 octahedra, and edges with three equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), one Co(5), one Co(6), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid, corners with two equivalent O(11)Li2Co3 square pyramids, corners with two equivalent O(9)Li2Co3 square pyramids, corners with two equivalent O(5)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(7)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid, edges with three equivalent O(11)Li2Co3 square pyramids, edges with three equivalent O(9)Li2Co3 square pyramids, and  an edgeedge with one O(3)Li2Co2Sn trigonal bipyramid. In the second O site, O(2) is bonded to one Li(2), one Li(4), one Co(1), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(10)Li2Co3 square pyramids, corners with two equivalent O(12)Li2Co3 square pyramids, corners with two equivalent O(6)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(8)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(2)Li2Co3 square pyramid, edges with three equivalent O(10)Li2Co3 square pyramids, edges with three equivalent O(12)Li2Co3 square pyramids, and  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(11)Li2Co3 square pyramids, corners with two equivalent O(9)Li2Co3 square pyramids,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(6)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(8)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(5)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(7)Li2Co2Sn trigonal bipyramids. In the fourth O site, O(4) is bonded to one Li(2), one Li(4), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(10)Li2Co3 square pyramids, corners with two equivalent O(12)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(5)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(7)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(6)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(8)Li2Co2Sn trigonal bipyramids. In the fifth O site, O(5) is bonded to one Li(1), one Li(3), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(1)Li2Co3 square pyramids, corners with two equivalent O(11)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(6)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(8)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(3)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(7)Li2Co2Sn trigonal bipyramids. In the sixth O site, O(6) is bonded to one Li(2), one Li(4), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(12)Li2Co3 square pyramids, corners with two equivalent O(2)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(5)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(7)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(4)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(8)Li2Co2Sn trigonal bipyramids. In the seventh O site, O(7) is bonded to one Li(1), one Li(3), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(1)Li2Co3 square pyramids, corners with two equivalent O(9)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(8)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(6)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(8)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(3)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(5)Li2Co2Sn trigonal bipyramids. In the eighth O site, O(8) is bonded to one Li(2), one Li(4), one Co(4), one Co(8), and one Sn(1) atom to form distorted OLi2Co2Sn trigonal bipyramids that share corners with two equivalent O(10)Li2Co3 square pyramids, corners with two equivalent O(2)Li2Co3 square pyramids,  a cornercorner with one O(3)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(4)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(5)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(6)Li2Co2Sn trigonal bipyramid,  a cornercorner with one O(7)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(5)Li2Co2Sn trigonal bipyramid,  an edgeedge with one O(7)Li2Co2Sn trigonal bipyramid, edges with two equivalent O(4)Li2Co2Sn trigonal bipyramids, and edges with two equivalent O(6)Li2Co2Sn trigonal bipyramids. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Co(5), one Co(6), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(1)Li2Co3 square pyramids, corners with two equivalent O(11)Li2Co3 square pyramids, corners with two equivalent O(3)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(7)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(9)Li2Co3 square pyramid, edges with three equivalent O(1)Li2Co3 square pyramids, edges with three equivalent O(11)Li2Co3 square pyramids, and  an edgeedge with one O(5)Li2Co2Sn trigonal bipyramid. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Co(1), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid, corners with two equivalent O(12)Li2Co3 square pyramids, corners with two equivalent O(2)Li2Co3 square pyramids, corners with two equivalent O(4)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(8)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(10)Li2Co3 square pyramid, edges with three equivalent O(12)Li2Co3 square pyramids, edges with three equivalent O(2)Li2Co3 square pyramids, and  an edgeedge with one O(6)Li2Co2Sn trigonal bipyramid. In the eleventh O site, O(11) is bonded to one Li(1), one Li(3), one Co(5), one Co(6), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid, corners with two equivalent O(1)Li2Co3 square pyramids, corners with two equivalent O(9)Li2Co3 square pyramids, corners with two equivalent O(3)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(5)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(11)Li2Co3 square pyramid, edges with three equivalent O(1)Li2Co3 square pyramids, edges with three equivalent O(9)Li2Co3 square pyramids, and  an edgeedge with one O(7)Li2Co2Sn trigonal bipyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(4), one Co(1), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(12)Li2Co3 square pyramid, corners with two equivalent O(10)Li2Co3 square pyramids, corners with two equivalent O(2)Li2Co3 square pyramids, corners with two equivalent O(4)Li2Co2Sn trigonal bipyramids, corners with two equivalent O(6)Li2Co2Sn trigonal bipyramids,  an edgeedge with one O(12)Li2Co3 square pyramid, edges with three equivalent O(10)Li2Co3 square pyramids, edges with three equivalent O(2)Li2Co3 square pyramids, and  an edgeedge with one O(8)Li2Co2Sn trigonal bipyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Co5SnO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.081
_cell_length_b   5.058
_cell_length_c   19.792
_cell_angle_alpha   92.431
_cell_angle_beta   85.097
_cell_angle_gamma   120.110
_symmetry_Int_Tables_number   1
_cell_volume   438.380
_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  0.211  0.330  0.373  1.0
  Li  Li1  1  0.714  0.339  0.872  1.0
  Li  Li2  1  0.620  0.330  0.127  1.0
  Li  Li3  1  0.125  0.339  0.628  1.0
  Li  Li4  1  0.880  0.670  0.373  1.0
  Li  Li5  1  0.370  0.663  0.872  1.0
  Li  Li6  1  0.290  0.670  0.127  1.0
  Li  Li7  1  0.793  0.663  0.628  1.0
  Co  Co8  1  0.752  0.003  0.750  1.0
  Co  Co9  1  0.081  0.661  0.750  1.0
  Co  Co10  1  0.413  0.326  0.750  1.0
  Co  Co11  1  0.667  0.333  1.000  1.0
  Co  Co12  1  0.167  0.333  0.500  1.0
  Co  Co13  1  0.250  0.000  0.250  1.0
  Co  Co14  1  0.585  0.670  0.250  1.0
  Co  Co15  1  0.915  0.330  0.250  1.0
  Co  Co16  1  0.834  0.667  0.500  1.0
  Co  Co17  1  0.333  0.667  1.000  1.0
  Sn  Sn18  1  1.000  0.000  0.000  1.0
  Sn  Sn19  1  0.501  0.000  0.500  1.0
  O  O20  1  0.921  0.001  0.302  1.0
  O  O21  1  0.408  0.996  0.798  1.0
  O  O22  1  0.578  0.999  0.198  1.0
  O  O23  1  0.088  0.996  0.702  1.0
  O  O24  1  0.339  0.000  0.053  1.0
  O  O25  1  0.838  1.000  0.554  1.0
  O  O26  1  0.161  0.000  0.447  1.0
  O  O27  1  0.662  1.000  0.946  1.0
  O  O28  1  0.625  0.643  0.054  1.0
  O  O29  1  0.126  0.645  0.553  1.0
  O  O30  1  0.519  0.643  0.446  1.0
  O  O31  1  0.019  0.645  0.947  1.0
  O  O32  1  0.981  0.357  0.054  1.0
  O  O33  1  0.482  0.356  0.554  1.0
  O  O34  1  0.876  0.357  0.446  1.0
  O  O35  1  0.374  0.356  0.946  1.0
  O  O36  1  0.281  0.324  0.197  1.0
  O  O37  1  0.806  0.361  0.695  1.0
  O  O38  1  0.957  0.675  0.198  1.0
  O  O39  1  0.417  0.644  0.700  1.0
  O  O40  1  0.543  0.324  0.303  1.0
  O  O41  1  0.056  0.361  0.805  1.0
  O  O42  1  0.220  0.676  0.303  1.0
  O  O43  1  0.727  0.645  0.800  1.0
[/CIF]
.