The compound described by Li4Ti3Co3(SnO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-67°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-65°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-65°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sn(2)O6 octahedra, and edges with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. In the second Ti site, Ti(2) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with four equivalent Ti(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Co(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Co(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(2), and one Sn(1) atom to form distorted OLiTi2Sn tetrahedra that share corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiTiCo2 trigonal pyramid, corners with two equivalent O(6)LiTiCoSn trigonal pyramids, and edges with two equivalent O(6)LiTiCoSn trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(2), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(2), and one Co(1) atom to form OLiTi2Co tetrahedra that share corners with two equivalent O(2)LiTi2Sn tetrahedra and corners with four equivalent O(6)LiTiCoSn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(1), and two equivalent Co(2) atoms to form OLiTiCo2 tetrahedra that share corners with two equivalent O(12)LiCo2Sn tetrahedra, corners with three equivalent O(10)LiTiCo2 trigonal pyramids, and corners with four equivalent O(9)LiTiCoSn trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Ti(2), one Co(1), and one Sn(1) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(2)LiTi2Sn tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiTiCo2 trigonal pyramid,  a cornercorner with one O(6)LiTiCoSn trigonal pyramid,  an edgeedge with one O(2)LiTi2Sn tetrahedra, and  an edgeedge with one O(6)LiTiCoSn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(2), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Co(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Ti(1), one Co(2), and one Sn(2) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(12)LiCo2Sn tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(9)LiTiCoSn trigonal pyramid,  an edgeedge with one O(12)LiCo2Sn tetrahedra,  an edgeedge with one O(10)LiTiCo2 trigonal pyramid, and  an edgeedge with one O(9)LiTiCoSn trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Ti(1), and two equivalent Co(2) atoms to form distorted OLiTiCo2 trigonal pyramids that share  a cornercorner with one O(2)LiTi2Sn tetrahedra, corners with three equivalent O(5)LiTiCo2 tetrahedra, corners with two equivalent O(6)LiTiCoSn trigonal pyramids,  an edgeedge with one O(12)LiCo2Sn tetrahedra, and edges with two equivalent O(9)LiTiCoSn trigonal pyramids. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Co(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Co(2), and one Sn(2) atom to form distorted OLiCo2Sn tetrahedra that share corners with two equivalent O(5)LiTiCo2 tetrahedra, corners with two equivalent O(9)LiTiCoSn trigonal pyramids,  an edgeedge with one O(10)LiTiCo2 trigonal pyramid, and edges with two equivalent O(9)LiTiCoSn trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Ti3Co3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.849
_cell_length_b   5.849
_cell_length_c   9.753
_cell_angle_alpha   89.907
_cell_angle_beta   89.907
_cell_angle_gamma   60.930
_symmetry_Int_Tables_number   1
_cell_volume   291.594
_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  0.669  0.669  0.109  1.0
  Li  Li1  1  0.991  0.991  0.007  1.0
  Li  Li2  1  0.996  0.996  0.507  1.0
  Li  Li3  1  0.333  0.333  0.599  1.0
  Ti  Ti4  1  0.169  0.169  0.285  1.0
  Ti  Ti5  1  0.341  0.833  0.784  1.0
  Ti  Ti6  1  0.833  0.341  0.784  1.0
  Co  Co7  1  0.826  0.826  0.788  1.0
  Co  Co8  1  0.169  0.658  0.286  1.0
  Co  Co9  1  0.658  0.169  0.286  1.0
  Sn  Sn10  1  0.667  0.667  0.504  1.0
  Sn  Sn11  1  0.342  0.342  0.014  1.0
  O  O12  1  0.318  0.839  0.396  1.0
  O  O13  1  0.515  0.515  0.666  1.0
  O  O14  1  0.660  0.660  0.896  1.0
  O  O15  1  0.997  0.997  0.695  1.0
  O  O16  1  0.997  0.997  0.193  1.0
  O  O17  1  0.839  0.318  0.396  1.0
  O  O18  1  0.496  0.967  0.652  1.0
  O  O19  1  0.967  0.496  0.652  1.0
  O  O20  1  0.166  0.166  0.898  1.0
  O  O21  1  0.842  0.842  0.394  1.0
  O  O22  1  0.036  0.483  0.165  1.0
  O  O23  1  0.483  0.036  0.165  1.0
  O  O24  1  0.334  0.334  0.390  1.0
  O  O25  1  0.177  0.676  0.902  1.0
  O  O26  1  0.484  0.484  0.175  1.0
  O  O27  1  0.676  0.177  0.902  1.0
[/CIF]
.
The compound described by Li4Ti3Co3(SnO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-67°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-65°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-65°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sn(2)O6 octahedra, and edges with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. In the second Ti site, Ti(2) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with four equivalent Ti(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Co(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Co(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(2), and one Sn(1) atom to form distorted OLiTi2Sn tetrahedra that share corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiTiCo2 trigonal pyramid, corners with two equivalent O(6)LiTiCoSn trigonal pyramids, and edges with two equivalent O(6)LiTiCoSn trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(2), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(2), and one Co(1) atom to form OLiTi2Co tetrahedra that share corners with two equivalent O(2)LiTi2Sn tetrahedra and corners with four equivalent O(6)LiTiCoSn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(1), and two equivalent Co(2) atoms to form OLiTiCo2 tetrahedra that share corners with two equivalent O(12)LiCo2Sn tetrahedra, corners with three equivalent O(10)LiTiCo2 trigonal pyramids, and corners with four equivalent O(9)LiTiCoSn trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Ti(2), one Co(1), and one Sn(1) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(2)LiTi2Sn tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiTiCo2 trigonal pyramid,  a cornercorner with one O(6)LiTiCoSn trigonal pyramid,  an edgeedge with one O(2)LiTi2Sn tetrahedra, and  an edgeedge with one O(6)LiTiCoSn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(2), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Co(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Ti(1), one Co(2), and one Sn(2) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(12)LiCo2Sn tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(9)LiTiCoSn trigonal pyramid,  an edgeedge with one O(12)LiCo2Sn tetrahedra,  an edgeedge with one O(10)LiTiCo2 trigonal pyramid, and  an edgeedge with one O(9)LiTiCoSn trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Ti(1), and two equivalent Co(2) atoms to form distorted OLiTiCo2 trigonal pyramids that share  a cornercorner with one O(2)LiTi2Sn tetrahedra, corners with three equivalent O(5)LiTiCo2 tetrahedra, corners with two equivalent O(6)LiTiCoSn trigonal pyramids,  an edgeedge with one O(12)LiCo2Sn tetrahedra, and edges with two equivalent O(9)LiTiCoSn trigonal pyramids. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Co(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Co(2), and one Sn(2) atom to form distorted OLiCo2Sn tetrahedra that share corners with two equivalent O(5)LiTiCo2 tetrahedra, corners with two equivalent O(9)LiTiCoSn trigonal pyramids,  an edgeedge with one O(10)LiTiCo2 trigonal pyramid, and edges with two equivalent O(9)LiTiCoSn trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Ti3Co3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.849
_cell_length_b   5.849
_cell_length_c   9.753
_cell_angle_alpha   89.907
_cell_angle_beta   89.907
_cell_angle_gamma   60.930
_symmetry_Int_Tables_number   1
_cell_volume   291.594
_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  0.669  0.669  0.109  1.0
  Li  Li1  1  0.991  0.991  0.007  1.0
  Li  Li2  1  0.996  0.996  0.507  1.0
  Li  Li3  1  0.333  0.333  0.599  1.0
  Ti  Ti4  1  0.169  0.169  0.285  1.0
  Ti  Ti5  1  0.341  0.833  0.784  1.0
  Ti  Ti6  1  0.833  0.341  0.784  1.0
  Co  Co7  1  0.826  0.826  0.788  1.0
  Co  Co8  1  0.169  0.658  0.286  1.0
  Co  Co9  1  0.658  0.169  0.286  1.0
  Sn  Sn10  1  0.667  0.667  0.504  1.0
  Sn  Sn11  1  0.342  0.342  0.014  1.0
  O  O12  1  0.318  0.839  0.396  1.0
  O  O13  1  0.515  0.515  0.666  1.0
  O  O14  1  0.660  0.660  0.896  1.0
  O  O15  1  0.997  0.997  0.695  1.0
  O  O16  1  0.997  0.997  0.193  1.0
  O  O17  1  0.839  0.318  0.396  1.0
  O  O18  1  0.496  0.967  0.652  1.0
  O  O19  1  0.967  0.496  0.652  1.0
  O  O20  1  0.166  0.166  0.898  1.0
  O  O21  1  0.842  0.842  0.394  1.0
  O  O22  1  0.036  0.483  0.165  1.0
  O  O23  1  0.483  0.036  0.165  1.0
  O  O24  1  0.334  0.334  0.390  1.0
  O  O25  1  0.177  0.676  0.902  1.0
  O  O26  1  0.484  0.484  0.175  1.0
  O  O27  1  0.676  0.177  0.902  1.0
[/CIF]
.