The crystal structure described by Li4Ni3Sn2Sb3O16 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(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(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 50-64°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(4), one O(5), and two equivalent O(12) atoms. In the third Li site, Li(3) is bonded to one O(3), one O(6), and two equivalent O(9) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Sb(1)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 Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-66°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) atoms to form NiO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the second Ni site, Ni(2) is bonded to one O(11), one O(4), one O(6), one O(7), 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 Ni(2)O6 octahedra, edges with two equivalent Sb(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-55°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form distorted SnO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. In the second Sn site, Sn(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form SnO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra, corners with four equivalent Sb(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SbO6 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 four equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the second Sb site, Sb(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) atom to form SbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(4), one Sn(1), and two equivalent Sb(2) atoms. In the second O site, O(2) is bonded to one Li(1), one Ni(1), and two equivalent Sb(2) atoms to form distorted OLiNiSb2 trigonal pyramids that share corners with three equivalent O(3)LiNiSb2 tetrahedra and edges with two equivalent O(10)LiNiSnSb tetrahedra. In the third O site, O(3) is bonded to one Li(3), one Ni(1), and two equivalent Sb(2) atoms to form distorted OLiNiSb2 tetrahedra that share corners with four equivalent O(10)LiNiSnSb tetrahedra and corners with three equivalent O(2)LiNiSb2 trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(2), two equivalent Ni(2), and one Sb(1) atom to form distorted corner-sharing OLiNi2Sb tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Sn(2), and two equivalent Sb(2) atoms. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Ni(2), and one Sn(1) atom. In the seventh O site, O(7) is bonded to one Li(4), two equivalent Ni(2), and one Sb(1) atom to form distorted OLiNi2Sb trigonal pyramids that share corners with two equivalent O(10)LiNiSnSb tetrahedra and corners with three equivalent O(4)LiNi2Sb tetrahedra. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Ni(2), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ni(2), one Sn(1), and one Sb(1) atom. In the tenth O site, O(10) is bonded to one Li(4), one Ni(1), one Sn(1), and one Sb(2) atom to form distorted OLiNiSnSb tetrahedra that share  a cornercorner with one O(10)LiNiSnSb tetrahedra, corners with two equivalent O(3)LiNiSb2 tetrahedra,  a cornercorner with one O(7)LiNi2Sb trigonal pyramid,  an edgeedge with one O(10)LiNiSnSb tetrahedra, and  an edgeedge with one O(2)LiNiSb2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ni(2), one Sn(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ni(1), one Sn(2), and one Sb(2) atom. is represented by the CIF card [CIF]
data_Li4Ni3Sn2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.168
_cell_length_b   6.168
_cell_length_c   9.911
_cell_angle_alpha   90.293
_cell_angle_beta   90.290
_cell_angle_gamma   60.357
_symmetry_Int_Tables_number   1
_cell_volume   327.744
_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  0.337  0.337  0.117  1.0
  Li  Li1  1  0.014  0.014  0.017  1.0
  Li  Li2  1  0.009  0.009  0.497  1.0
  Li  Li3  1  0.675  0.675  0.591  1.0
  Ni  Ni4  1  0.169  0.169  0.785  1.0
  Ni  Ni5  1  0.338  0.827  0.288  1.0
  Ni  Ni6  1  0.827  0.338  0.288  1.0
  O  O7  1  0.485  0.485  0.661  1.0
  O  O8  1  0.337  0.337  0.895  1.0
  O  O9  1  0.998  0.998  0.685  1.0
  O  O10  1  0.993  0.993  0.197  1.0
  O  O11  1  0.837  0.837  0.897  1.0
  O  O12  1  0.159  0.159  0.402  1.0
  O  O13  1  0.674  0.674  0.394  1.0
  O  O14  1  0.514  0.514  0.161  1.0
  O  O15  1  0.150  0.675  0.405  1.0
  O  O16  1  0.675  0.150  0.405  1.0
  O  O17  1  0.040  0.488  0.660  1.0
  O  O18  1  0.487  0.040  0.660  1.0
  O  O19  1  0.527  0.967  0.158  1.0
  O  O20  1  0.967  0.527  0.158  1.0
  O  O21  1  0.319  0.833  0.900  1.0
  O  O22  1  0.833  0.319  0.900  1.0
  Sb  Sb23  1  0.828  0.828  0.286  1.0
  Sb  Sb24  1  0.168  0.662  0.784  1.0
  Sb  Sb25  1  0.662  0.168  0.784  1.0
  Sn  Sn26  1  0.323  0.323  0.497  1.0
  Sn  Sn27  1  0.654  0.654  0.023  1.0
[/CIF]
.
The crystal structure described by Li4Ni3Sn2Sb3O16 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(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(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 50-64°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(4), one O(5), and two equivalent O(12) atoms. In the third Li site, Li(3) is bonded to one O(3), one O(6), and two equivalent O(9) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Sb(1)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 Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-66°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) atoms to form NiO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the second Ni site, Ni(2) is bonded to one O(11), one O(4), one O(6), one O(7), 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 Ni(2)O6 octahedra, edges with two equivalent Sb(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-55°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form distorted SnO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. In the second Sn site, Sn(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form SnO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra, corners with four equivalent Sb(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SbO6 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 four equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the second Sb site, Sb(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) atom to form SbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(4), one Sn(1), and two equivalent Sb(2) atoms. In the second O site, O(2) is bonded to one Li(1), one Ni(1), and two equivalent Sb(2) atoms to form distorted OLiNiSb2 trigonal pyramids that share corners with three equivalent O(3)LiNiSb2 tetrahedra and edges with two equivalent O(10)LiNiSnSb tetrahedra. In the third O site, O(3) is bonded to one Li(3), one Ni(1), and two equivalent Sb(2) atoms to form distorted OLiNiSb2 tetrahedra that share corners with four equivalent O(10)LiNiSnSb tetrahedra and corners with three equivalent O(2)LiNiSb2 trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(2), two equivalent Ni(2), and one Sb(1) atom to form distorted corner-sharing OLiNi2Sb tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Sn(2), and two equivalent Sb(2) atoms. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Ni(2), and one Sn(1) atom. In the seventh O site, O(7) is bonded to one Li(4), two equivalent Ni(2), and one Sb(1) atom to form distorted OLiNi2Sb trigonal pyramids that share corners with two equivalent O(10)LiNiSnSb tetrahedra and corners with three equivalent O(4)LiNi2Sb tetrahedra. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Ni(2), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ni(2), one Sn(1), and one Sb(1) atom. In the tenth O site, O(10) is bonded to one Li(4), one Ni(1), one Sn(1), and one Sb(2) atom to form distorted OLiNiSnSb tetrahedra that share  a cornercorner with one O(10)LiNiSnSb tetrahedra, corners with two equivalent O(3)LiNiSb2 tetrahedra,  a cornercorner with one O(7)LiNi2Sb trigonal pyramid,  an edgeedge with one O(10)LiNiSnSb tetrahedra, and  an edgeedge with one O(2)LiNiSb2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ni(2), one Sn(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ni(1), one Sn(2), and one Sb(2) atom. is represented by the CIF card [CIF]
data_Li4Ni3Sn2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.168
_cell_length_b   6.168
_cell_length_c   9.911
_cell_angle_alpha   90.293
_cell_angle_beta   90.290
_cell_angle_gamma   60.357
_symmetry_Int_Tables_number   1
_cell_volume   327.744
_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  0.337  0.337  0.117  1.0
  Li  Li1  1  0.014  0.014  0.017  1.0
  Li  Li2  1  0.009  0.009  0.497  1.0
  Li  Li3  1  0.675  0.675  0.591  1.0
  Ni  Ni4  1  0.169  0.169  0.785  1.0
  Ni  Ni5  1  0.338  0.827  0.288  1.0
  Ni  Ni6  1  0.827  0.338  0.288  1.0
  O  O7  1  0.485  0.485  0.661  1.0
  O  O8  1  0.337  0.337  0.895  1.0
  O  O9  1  0.998  0.998  0.685  1.0
  O  O10  1  0.993  0.993  0.197  1.0
  O  O11  1  0.837  0.837  0.897  1.0
  O  O12  1  0.159  0.159  0.402  1.0
  O  O13  1  0.674  0.674  0.394  1.0
  O  O14  1  0.514  0.514  0.161  1.0
  O  O15  1  0.150  0.675  0.405  1.0
  O  O16  1  0.675  0.150  0.405  1.0
  O  O17  1  0.040  0.488  0.660  1.0
  O  O18  1  0.487  0.040  0.660  1.0
  O  O19  1  0.527  0.967  0.158  1.0
  O  O20  1  0.967  0.527  0.158  1.0
  O  O21  1  0.319  0.833  0.900  1.0
  O  O22  1  0.833  0.319  0.900  1.0
  Sb  Sb23  1  0.828  0.828  0.286  1.0
  Sb  Sb24  1  0.168  0.662  0.784  1.0
  Sb  Sb25  1  0.662  0.168  0.784  1.0
  Sn  Sn26  1  0.323  0.323  0.497  1.0
  Sn  Sn27  1  0.654  0.654  0.023  1.0
[/CIF]
.