The material described by Li4Co5Sb3O16 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(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Co(3)O6 octahedra, and corners with four equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. In the second Li site, Li(2) is bonded in a distorted 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 Sb(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-65°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted CoO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra, corners with four equivalent Co(4)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the second Co site, Co(2) 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 Co(3)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the third Co site, Co(3) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the fourth Co site, Co(4) 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. There are two inequivalent Sb sites. In the first Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with four equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Co(1), one Co(4), and one Sb(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Co(1), and two equivalent Sb(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(2), and two equivalent Sb(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Co(2), and two equivalent Sb(1) atoms to form distorted OLiCoSb2 trigonal pyramids that share corners with four equivalent O(6)LiCo2Sb tetrahedra and  a cornercorner with one O(8)LiCo3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Co(4), and one Sb(2) atom to form a mixture of distorted edge and corner-sharing OLiCo2Sb tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Co(1), one Co(2), and one Sb(1) atom to form distorted OLiCo2Sb tetrahedra that share  a cornercorner with one O(6)LiCo2Sb tetrahedra,  a cornercorner with one O(8)LiCo3 trigonal pyramid, corners with two equivalent O(4)LiCoSb2 trigonal pyramids, and  an edgeedge with one O(6)LiCo2Sb tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(3), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), one Co(1), and two equivalent Co(4) atoms to form distorted OLiCo3 trigonal pyramids that share corners with two equivalent O(6)LiCo2Sb tetrahedra, corners with two equivalent O(12)LiCo3 tetrahedra,  a cornercorner with one O(4)LiCoSb2 trigonal pyramid, and  an edgeedge with one O(5)LiCo2Sb tetrahedra. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(3), one Co(4), and one Sb(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Co(4), and one Sb(2) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Co(2), one Co(3), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Co(3), and two equivalent Co(4) atoms to form OLiCo3 tetrahedra that share corners with two equivalent O(5)LiCo2Sb tetrahedra and corners with two equivalent O(8)LiCo3 trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Co5Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.007
_cell_length_b   6.007
_cell_length_c   9.715
_cell_angle_alpha   89.514
_cell_angle_beta   89.514
_cell_angle_gamma   59.981
_symmetry_Int_Tables_number   1
_cell_volume   303.532
_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  0.668  0.668  0.122  1.0
  Li  Li1  1  0.980  0.980  0.010  1.0
  Li  Li2  1  0.987  0.987  0.495  1.0
  Li  Li3  1  0.331  0.331  0.601  1.0
  Co  Co4  1  0.672  0.672  0.493  1.0
  Co  Co5  1  0.833  0.833  0.783  1.0
  Co  Co6  1  0.350  0.350  0.019  1.0
  Co  Co7  1  0.169  0.663  0.286  1.0
  Co  Co8  1  0.663  0.169  0.286  1.0
  Sb  Sb9  1  0.339  0.835  0.785  1.0
  Sb  Sb10  1  0.835  0.339  0.785  1.0
  Sb  Sb11  1  0.170  0.170  0.285  1.0
  O  O12  1  0.314  0.839  0.396  1.0
  O  O13  1  0.514  0.514  0.665  1.0
  O  O14  1  0.660  0.660  0.903  1.0
  O  O15  1  0.008  0.008  0.678  1.0
  O  O16  1  0.996  0.996  0.191  1.0
  O  O17  1  0.839  0.314  0.396  1.0
  O  O18  1  0.510  0.969  0.664  1.0
  O  O19  1  0.969  0.510  0.664  1.0
  O  O20  1  0.158  0.158  0.903  1.0
  O  O21  1  0.840  0.840  0.385  1.0
  O  O22  1  0.038  0.491  0.167  1.0
  O  O23  1  0.491  0.038  0.167  1.0
  O  O24  1  0.338  0.338  0.391  1.0
  O  O25  1  0.167  0.683  0.896  1.0
  O  O26  1  0.481  0.481  0.180  1.0
  O  O27  1  0.683  0.167  0.896  1.0
[/CIF]
.
The material described by Li4Co5Sb3O16 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(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Co(3)O6 octahedra, and corners with four equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. In the second Li site, Li(2) is bonded in a distorted 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 Sb(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-65°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted CoO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra, corners with four equivalent Co(4)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the second Co site, Co(2) 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 Co(3)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the third Co site, Co(3) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the fourth Co site, Co(4) 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. There are two inequivalent Sb sites. In the first Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with four equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Co(1), one Co(4), and one Sb(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Co(1), and two equivalent Sb(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(2), and two equivalent Sb(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Co(2), and two equivalent Sb(1) atoms to form distorted OLiCoSb2 trigonal pyramids that share corners with four equivalent O(6)LiCo2Sb tetrahedra and  a cornercorner with one O(8)LiCo3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Co(4), and one Sb(2) atom to form a mixture of distorted edge and corner-sharing OLiCo2Sb tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Co(1), one Co(2), and one Sb(1) atom to form distorted OLiCo2Sb tetrahedra that share  a cornercorner with one O(6)LiCo2Sb tetrahedra,  a cornercorner with one O(8)LiCo3 trigonal pyramid, corners with two equivalent O(4)LiCoSb2 trigonal pyramids, and  an edgeedge with one O(6)LiCo2Sb tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(3), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), one Co(1), and two equivalent Co(4) atoms to form distorted OLiCo3 trigonal pyramids that share corners with two equivalent O(6)LiCo2Sb tetrahedra, corners with two equivalent O(12)LiCo3 tetrahedra,  a cornercorner with one O(4)LiCoSb2 trigonal pyramid, and  an edgeedge with one O(5)LiCo2Sb tetrahedra. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(3), one Co(4), and one Sb(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Co(4), and one Sb(2) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Co(2), one Co(3), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Co(3), and two equivalent Co(4) atoms to form OLiCo3 tetrahedra that share corners with two equivalent O(5)LiCo2Sb tetrahedra and corners with two equivalent O(8)LiCo3 trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Co5Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.007
_cell_length_b   6.007
_cell_length_c   9.715
_cell_angle_alpha   89.514
_cell_angle_beta   89.514
_cell_angle_gamma   59.981
_symmetry_Int_Tables_number   1
_cell_volume   303.532
_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  0.668  0.668  0.122  1.0
  Li  Li1  1  0.980  0.980  0.010  1.0
  Li  Li2  1  0.987  0.987  0.495  1.0
  Li  Li3  1  0.331  0.331  0.601  1.0
  Co  Co4  1  0.672  0.672  0.493  1.0
  Co  Co5  1  0.833  0.833  0.783  1.0
  Co  Co6  1  0.350  0.350  0.019  1.0
  Co  Co7  1  0.169  0.663  0.286  1.0
  Co  Co8  1  0.663  0.169  0.286  1.0
  Sb  Sb9  1  0.339  0.835  0.785  1.0
  Sb  Sb10  1  0.835  0.339  0.785  1.0
  Sb  Sb11  1  0.170  0.170  0.285  1.0
  O  O12  1  0.314  0.839  0.396  1.0
  O  O13  1  0.514  0.514  0.665  1.0
  O  O14  1  0.660  0.660  0.903  1.0
  O  O15  1  0.008  0.008  0.678  1.0
  O  O16  1  0.996  0.996  0.191  1.0
  O  O17  1  0.839  0.314  0.396  1.0
  O  O18  1  0.510  0.969  0.664  1.0
  O  O19  1  0.969  0.510  0.664  1.0
  O  O20  1  0.158  0.158  0.903  1.0
  O  O21  1  0.840  0.840  0.385  1.0
  O  O22  1  0.038  0.491  0.167  1.0
  O  O23  1  0.491  0.038  0.167  1.0
  O  O24  1  0.338  0.338  0.391  1.0
  O  O25  1  0.167  0.683  0.896  1.0
  O  O26  1  0.481  0.481  0.180  1.0
  O  O27  1  0.683  0.167  0.896  1.0
[/CIF]
.