The crystal structure described by Li4Co3Ni3(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 Ni(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-68°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. 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 Co(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-65°. There are two inequivalent Co sites. In the first Co site, Co(1) 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 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 two equivalent Co(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms 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,  an edgeedge with one Sn(2)O6 octahedra, and edges with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NiO6 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, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. In the second Ni site, Ni(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 NiO6 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,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. 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 Co(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. 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 Ni(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. 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 Co(2), one Ni(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Co(1), and one Sn(1) atom to form distorted OLiCo2Sn trigonal pyramids that share  a cornercorner with one O(10)LiCoNi2 tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra, corners with two equivalent O(6)LiCoNiSn tetrahedra, edges with two equivalent O(6)LiCoNiSn tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Co(1), and one Ni(1) atom to form distorted OLiCo2Ni trigonal pyramids that share  a cornercorner with one O(12)LiNi2Sn tetrahedra, corners with three equivalent O(4)LiCo2Ni tetrahedra, edges with two equivalent O(6)LiCoNiSn tetrahedra, and  an edgeedge with one O(2)LiCo2Sn trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Co(1), and one Ni(1) atom to form distorted OLiCo2Ni tetrahedra that share corners with four equivalent O(6)LiCoNiSn tetrahedra, corners with two equivalent O(2)LiCo2Sn trigonal pyramids, and corners with three equivalent O(3)LiCo2Ni trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Co(2), and two equivalent Ni(2) atoms to form OLiCoNi2 tetrahedra that share corners with two equivalent O(12)LiNi2Sn tetrahedra and corners with three equivalent O(10)LiCoNi2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Co(1), one Ni(1), and one Sn(1) atom to form distorted OLiCoNiSn tetrahedra that share  a cornercorner with one O(10)LiCoNi2 tetrahedra,  a cornercorner with one O(6)LiCoNiSn tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  a cornercorner with one O(2)LiCo2Sn trigonal pyramid,  an edgeedge with one O(6)LiCoNiSn tetrahedra,  an edgeedge with one O(3)LiCo2Ni trigonal pyramid, and  an edgeedge with one O(2)LiCo2Sn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Co(1), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Ni(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(2), one Ni(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Co(2), and two equivalent Ni(2) atoms to form distorted OLiCoNi2 tetrahedra that share corners with two equivalent O(6)LiCoNiSn tetrahedra, corners with three equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(2)LiCo2Sn trigonal pyramid, and  an edgeedge with one O(12)LiNi2Sn tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Ni(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Ni(2), and one Sn(2) atom to form distorted OLiNi2Sn tetrahedra that share corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid, and  an edgeedge with one O(10)LiCoNi2 tetrahedra. is represented by the CIF file [CIF]
data_Li4Co3Ni3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.891
_cell_length_b   5.767
_cell_length_c   9.566
_cell_angle_alpha   89.992
_cell_angle_beta   92.152
_cell_angle_gamma   119.356
_symmetry_Int_Tables_number   1
_cell_volume   282.981
_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  0.319  0.659  0.894  1.0
  Li  Li1  1  0.006  0.003  0.994  1.0
  Li  Li2  1  0.004  0.002  0.495  1.0
  Li  Li3  1  0.664  0.332  0.392  1.0
  Co  Co4  1  0.173  0.833  0.216  1.0
  Co  Co5  1  0.173  0.340  0.216  1.0
  Co  Co6  1  0.338  0.169  0.715  1.0
  Ni  Ni7  1  0.663  0.832  0.214  1.0
  Ni  Ni8  1  0.830  0.663  0.715  1.0
  Ni  Ni9  1  0.829  0.167  0.715  1.0
  Sn  Sn10  1  0.340  0.670  0.492  1.0
  Sn  Sn11  1  0.666  0.333  0.993  1.0
  O  O12  1  0.176  0.853  0.602  1.0
  O  O13  1  0.033  0.516  0.330  1.0
  O  O14  1  0.299  0.649  0.113  1.0
  O  O15  1  0.031  0.015  0.306  1.0
  O  O16  1  0.014  0.007  0.804  1.0
  O  O17  1  0.176  0.323  0.602  1.0
  O  O18  1  0.469  0.966  0.335  1.0
  O  O19  1  0.469  0.503  0.335  1.0
  O  O20  1  0.320  0.160  0.107  1.0
  O  O21  1  0.697  0.849  0.599  1.0
  O  O22  1  0.496  0.470  0.839  1.0
  O  O23  1  0.496  0.025  0.838  1.0
  O  O24  1  0.652  0.327  0.616  1.0
  O  O25  1  0.854  0.689  0.099  1.0
  O  O26  1  0.958  0.479  0.833  1.0
  O  O27  1  0.854  0.164  0.099  1.0
[/CIF]
.
The crystal structure described by Li4Co3Ni3(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 Ni(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-68°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. 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 Co(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-65°. There are two inequivalent Co sites. In the first Co site, Co(1) 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 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 two equivalent Co(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms 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,  an edgeedge with one Sn(2)O6 octahedra, and edges with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NiO6 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, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. In the second Ni site, Ni(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 NiO6 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,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. 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 Co(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. 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 Ni(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. 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 Co(2), one Ni(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Co(1), and one Sn(1) atom to form distorted OLiCo2Sn trigonal pyramids that share  a cornercorner with one O(10)LiCoNi2 tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra, corners with two equivalent O(6)LiCoNiSn tetrahedra, edges with two equivalent O(6)LiCoNiSn tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Co(1), and one Ni(1) atom to form distorted OLiCo2Ni trigonal pyramids that share  a cornercorner with one O(12)LiNi2Sn tetrahedra, corners with three equivalent O(4)LiCo2Ni tetrahedra, edges with two equivalent O(6)LiCoNiSn tetrahedra, and  an edgeedge with one O(2)LiCo2Sn trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Co(1), and one Ni(1) atom to form distorted OLiCo2Ni tetrahedra that share corners with four equivalent O(6)LiCoNiSn tetrahedra, corners with two equivalent O(2)LiCo2Sn trigonal pyramids, and corners with three equivalent O(3)LiCo2Ni trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Co(2), and two equivalent Ni(2) atoms to form OLiCoNi2 tetrahedra that share corners with two equivalent O(12)LiNi2Sn tetrahedra and corners with three equivalent O(10)LiCoNi2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Co(1), one Ni(1), and one Sn(1) atom to form distorted OLiCoNiSn tetrahedra that share  a cornercorner with one O(10)LiCoNi2 tetrahedra,  a cornercorner with one O(6)LiCoNiSn tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  a cornercorner with one O(2)LiCo2Sn trigonal pyramid,  an edgeedge with one O(6)LiCoNiSn tetrahedra,  an edgeedge with one O(3)LiCo2Ni trigonal pyramid, and  an edgeedge with one O(2)LiCo2Sn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Co(1), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Ni(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(2), one Ni(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Co(2), and two equivalent Ni(2) atoms to form distorted OLiCoNi2 tetrahedra that share corners with two equivalent O(6)LiCoNiSn tetrahedra, corners with three equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(2)LiCo2Sn trigonal pyramid, and  an edgeedge with one O(12)LiNi2Sn tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Ni(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Ni(2), and one Sn(2) atom to form distorted OLiNi2Sn tetrahedra that share corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid, and  an edgeedge with one O(10)LiCoNi2 tetrahedra. is represented by the CIF file [CIF]
data_Li4Co3Ni3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.891
_cell_length_b   5.767
_cell_length_c   9.566
_cell_angle_alpha   89.992
_cell_angle_beta   92.152
_cell_angle_gamma   119.356
_symmetry_Int_Tables_number   1
_cell_volume   282.981
_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  0.319  0.659  0.894  1.0
  Li  Li1  1  0.006  0.003  0.994  1.0
  Li  Li2  1  0.004  0.002  0.495  1.0
  Li  Li3  1  0.664  0.332  0.392  1.0
  Co  Co4  1  0.173  0.833  0.216  1.0
  Co  Co5  1  0.173  0.340  0.216  1.0
  Co  Co6  1  0.338  0.169  0.715  1.0
  Ni  Ni7  1  0.663  0.832  0.214  1.0
  Ni  Ni8  1  0.830  0.663  0.715  1.0
  Ni  Ni9  1  0.829  0.167  0.715  1.0
  Sn  Sn10  1  0.340  0.670  0.492  1.0
  Sn  Sn11  1  0.666  0.333  0.993  1.0
  O  O12  1  0.176  0.853  0.602  1.0
  O  O13  1  0.033  0.516  0.330  1.0
  O  O14  1  0.299  0.649  0.113  1.0
  O  O15  1  0.031  0.015  0.306  1.0
  O  O16  1  0.014  0.007  0.804  1.0
  O  O17  1  0.176  0.323  0.602  1.0
  O  O18  1  0.469  0.966  0.335  1.0
  O  O19  1  0.469  0.503  0.335  1.0
  O  O20  1  0.320  0.160  0.107  1.0
  O  O21  1  0.697  0.849  0.599  1.0
  O  O22  1  0.496  0.470  0.839  1.0
  O  O23  1  0.496  0.025  0.838  1.0
  O  O24  1  0.652  0.327  0.616  1.0
  O  O25  1  0.854  0.689  0.099  1.0
  O  O26  1  0.958  0.479  0.833  1.0
  O  O27  1  0.854  0.164  0.099  1.0
[/CIF]
.