The structure described by Li6Cr3Sb3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted LiO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Sb(2)O6 octahedra, corners with three equivalent Li(6)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. In the second Li site, Li(2) 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 Sb(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, and corners with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-67°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the fourth Li site, Li(4) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. In the fifth Li site, Li(5) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. In the sixth Li site, Li(6) 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 Cr(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-71°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Li(5)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra,  an edgeedge with one Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Li(5)O6 octahedra, and edges with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form SbO6 octahedra that share corners with two equivalent Li(5)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra,  an edgeedge with one Li(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. In the second Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. 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(1), one Li(4), one Cr(2), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(1), one Li(6), and two equivalent Cr(1) atoms to form distorted OLi2Cr2 tetrahedra that share corners with two equivalent O(6)Li2CrSb tetrahedra, corners with two equivalent O(4)LiCr2Sb tetrahedra, corners with two equivalent O(7)Li2Cr2 trigonal pyramids, edges with two equivalent O(6)Li2CrSb tetrahedra, and  an edgeedge with one O(3)LiCr2Sb trigonal pyramid. In the third O site, O(3) is bonded to one Li(2), two equivalent Cr(1), and one Sb(1) atom to form distorted OLiCr2Sb trigonal pyramids that share  a cornercorner with one O(12)Li2Sb2 tetrahedra, corners with two equivalent O(9)Li2CrSb tetrahedra, corners with three equivalent O(4)LiCr2Sb tetrahedra, corners with two equivalent O(7)Li2Cr2 trigonal pyramids,  an edgeedge with one O(2)Li2Cr2 tetrahedra, and edges with two equivalent O(6)Li2CrSb tetrahedra. In the fourth O site, O(4) is bonded to one Li(4), two equivalent Cr(1), and one Sb(1) atom to form distorted OLiCr2Sb tetrahedra that share corners with two equivalent O(2)Li2Cr2 tetrahedra, corners with four equivalent O(6)Li2CrSb tetrahedra, corners with three equivalent O(3)LiCr2Sb trigonal pyramids, and  an edgeedge with one O(7)Li2Cr2 trigonal pyramid. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(2), and two equivalent Sb(2) atoms. In the sixth O site, O(6) is bonded to one Li(1), one Li(6), one Cr(1), and one Sb(1) atom to form distorted OLi2CrSb tetrahedra that share  a cornercorner with one O(2)Li2Cr2 tetrahedra,  a cornercorner with one O(6)Li2CrSb tetrahedra, corners with two equivalent O(4)LiCr2Sb tetrahedra,  a cornercorner with one O(7)Li2Cr2 trigonal pyramid,  an edgeedge with one O(2)Li2Cr2 tetrahedra,  an edgeedge with one O(6)Li2CrSb tetrahedra, and  an edgeedge with one O(3)LiCr2Sb trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(3), one Li(5), and two equivalent Cr(1) atoms to form OLi2Cr2 trigonal pyramids that share  a cornercorner with one O(12)Li2Sb2 tetrahedra, corners with two equivalent O(2)Li2Cr2 tetrahedra, corners with two equivalent O(6)Li2CrSb tetrahedra, corners with two equivalent O(9)Li2CrSb tetrahedra, corners with two equivalent O(3)LiCr2Sb trigonal pyramids, and  an edgeedge with one O(4)LiCr2Sb tetrahedra. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(1), one Li(4), and two equivalent Sb(2) atoms. In the ninth O site, O(9) is bonded to one Li(2), one Li(5), one Cr(2), and one Sb(2) atom to form distorted OLi2CrSb tetrahedra that share  a cornercorner with one O(9)Li2CrSb tetrahedra,  a cornercorner with one O(12)Li2Sb2 tetrahedra,  a cornercorner with one O(7)Li2Cr2 trigonal pyramid,  a cornercorner with one O(3)LiCr2Sb trigonal pyramid,  an edgeedge with one O(9)Li2CrSb tetrahedra, and  an edgeedge with one O(12)Li2Sb2 tetrahedra. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(6), one Cr(2), and two equivalent Sb(2) atoms. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Li(5), one Cr(1), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(2), one Li(5), and two equivalent Sb(2) atoms to form distorted OLi2Sb2 tetrahedra that share corners with two equivalent O(9)Li2CrSb tetrahedra,  a cornercorner with one O(7)Li2Cr2 trigonal pyramid,  a cornercorner with one O(3)LiCr2Sb trigonal pyramid, and edges with two equivalent O(9)Li2CrSb tetrahedra. is represented by the CIF file [CIF]
data_Li6Cr3Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.047
_cell_length_b   6.047
_cell_length_c   10.026
_cell_angle_alpha   89.850
_cell_angle_beta   89.850
_cell_angle_gamma   60.311
_symmetry_Int_Tables_number   1
_cell_volume   318.509
_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  0.340  0.340  0.499  1.0
  Li  Li1  1  0.329  0.329  0.111  1.0
  Li  Li2  1  0.990  0.990  0.996  1.0
  Li  Li3  1  0.989  0.989  0.503  1.0
  Li  Li4  1  0.670  0.670  1.000  1.0
  Li  Li5  1  0.667  0.667  0.620  1.0
  Cr  Cr6  1  0.666  0.169  0.785  1.0
  Cr  Cr7  1  0.169  0.666  0.785  1.0
  Cr  Cr8  1  0.833  0.833  0.284  1.0
  Sb  Sb9  1  0.170  0.170  0.785  1.0
  Sb  Sb10  1  0.833  0.337  0.284  1.0
  Sb  Sb11  1  0.337  0.833  0.284  1.0
  O  O12  1  0.693  0.161  0.391  1.0
  O  O13  1  0.484  0.484  0.688  1.0
  O  O14  1  0.334  0.334  0.895  1.0
  O  O15  1  0.002  0.002  0.682  1.0
  O  O16  1  0.000  0.000  0.177  1.0
  O  O17  1  0.161  0.693  0.391  1.0
  O  O18  1  0.491  0.032  0.677  1.0
  O  O19  1  0.032  0.491  0.677  1.0
  O  O20  1  0.848  0.848  0.880  1.0
  O  O21  1  0.155  0.155  0.396  1.0
  O  O22  1  0.971  0.510  0.175  1.0
  O  O23  1  0.510  0.971  0.175  1.0
  O  O24  1  0.667  0.667  0.398  1.0
  O  O25  1  0.843  0.304  0.891  1.0
  O  O26  1  0.512  0.512  0.172  1.0
  O  O27  1  0.304  0.843  0.891  1.0
[/CIF]
.
The structure described by Li6Cr3Sb3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted LiO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Sb(2)O6 octahedra, corners with three equivalent Li(6)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. In the second Li site, Li(2) 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 Sb(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, and corners with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-67°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the fourth Li site, Li(4) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. In the fifth Li site, Li(5) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. In the sixth Li site, Li(6) 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 Cr(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-71°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Li(5)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra,  an edgeedge with one Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Li(5)O6 octahedra, and edges with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form SbO6 octahedra that share corners with two equivalent Li(5)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra,  an edgeedge with one Li(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. In the second Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. 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(1), one Li(4), one Cr(2), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(1), one Li(6), and two equivalent Cr(1) atoms to form distorted OLi2Cr2 tetrahedra that share corners with two equivalent O(6)Li2CrSb tetrahedra, corners with two equivalent O(4)LiCr2Sb tetrahedra, corners with two equivalent O(7)Li2Cr2 trigonal pyramids, edges with two equivalent O(6)Li2CrSb tetrahedra, and  an edgeedge with one O(3)LiCr2Sb trigonal pyramid. In the third O site, O(3) is bonded to one Li(2), two equivalent Cr(1), and one Sb(1) atom to form distorted OLiCr2Sb trigonal pyramids that share  a cornercorner with one O(12)Li2Sb2 tetrahedra, corners with two equivalent O(9)Li2CrSb tetrahedra, corners with three equivalent O(4)LiCr2Sb tetrahedra, corners with two equivalent O(7)Li2Cr2 trigonal pyramids,  an edgeedge with one O(2)Li2Cr2 tetrahedra, and edges with two equivalent O(6)Li2CrSb tetrahedra. In the fourth O site, O(4) is bonded to one Li(4), two equivalent Cr(1), and one Sb(1) atom to form distorted OLiCr2Sb tetrahedra that share corners with two equivalent O(2)Li2Cr2 tetrahedra, corners with four equivalent O(6)Li2CrSb tetrahedra, corners with three equivalent O(3)LiCr2Sb trigonal pyramids, and  an edgeedge with one O(7)Li2Cr2 trigonal pyramid. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(2), and two equivalent Sb(2) atoms. In the sixth O site, O(6) is bonded to one Li(1), one Li(6), one Cr(1), and one Sb(1) atom to form distorted OLi2CrSb tetrahedra that share  a cornercorner with one O(2)Li2Cr2 tetrahedra,  a cornercorner with one O(6)Li2CrSb tetrahedra, corners with two equivalent O(4)LiCr2Sb tetrahedra,  a cornercorner with one O(7)Li2Cr2 trigonal pyramid,  an edgeedge with one O(2)Li2Cr2 tetrahedra,  an edgeedge with one O(6)Li2CrSb tetrahedra, and  an edgeedge with one O(3)LiCr2Sb trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(3), one Li(5), and two equivalent Cr(1) atoms to form OLi2Cr2 trigonal pyramids that share  a cornercorner with one O(12)Li2Sb2 tetrahedra, corners with two equivalent O(2)Li2Cr2 tetrahedra, corners with two equivalent O(6)Li2CrSb tetrahedra, corners with two equivalent O(9)Li2CrSb tetrahedra, corners with two equivalent O(3)LiCr2Sb trigonal pyramids, and  an edgeedge with one O(4)LiCr2Sb tetrahedra. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(1), one Li(4), and two equivalent Sb(2) atoms. In the ninth O site, O(9) is bonded to one Li(2), one Li(5), one Cr(2), and one Sb(2) atom to form distorted OLi2CrSb tetrahedra that share  a cornercorner with one O(9)Li2CrSb tetrahedra,  a cornercorner with one O(12)Li2Sb2 tetrahedra,  a cornercorner with one O(7)Li2Cr2 trigonal pyramid,  a cornercorner with one O(3)LiCr2Sb trigonal pyramid,  an edgeedge with one O(9)Li2CrSb tetrahedra, and  an edgeedge with one O(12)Li2Sb2 tetrahedra. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(6), one Cr(2), and two equivalent Sb(2) atoms. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Li(5), one Cr(1), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(2), one Li(5), and two equivalent Sb(2) atoms to form distorted OLi2Sb2 tetrahedra that share corners with two equivalent O(9)Li2CrSb tetrahedra,  a cornercorner with one O(7)Li2Cr2 trigonal pyramid,  a cornercorner with one O(3)LiCr2Sb trigonal pyramid, and edges with two equivalent O(9)Li2CrSb tetrahedra. is represented by the CIF file [CIF]
data_Li6Cr3Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.047
_cell_length_b   6.047
_cell_length_c   10.026
_cell_angle_alpha   89.850
_cell_angle_beta   89.850
_cell_angle_gamma   60.311
_symmetry_Int_Tables_number   1
_cell_volume   318.509
_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  0.340  0.340  0.499  1.0
  Li  Li1  1  0.329  0.329  0.111  1.0
  Li  Li2  1  0.990  0.990  0.996  1.0
  Li  Li3  1  0.989  0.989  0.503  1.0
  Li  Li4  1  0.670  0.670  1.000  1.0
  Li  Li5  1  0.667  0.667  0.620  1.0
  Cr  Cr6  1  0.666  0.169  0.785  1.0
  Cr  Cr7  1  0.169  0.666  0.785  1.0
  Cr  Cr8  1  0.833  0.833  0.284  1.0
  Sb  Sb9  1  0.170  0.170  0.785  1.0
  Sb  Sb10  1  0.833  0.337  0.284  1.0
  Sb  Sb11  1  0.337  0.833  0.284  1.0
  O  O12  1  0.693  0.161  0.391  1.0
  O  O13  1  0.484  0.484  0.688  1.0
  O  O14  1  0.334  0.334  0.895  1.0
  O  O15  1  0.002  0.002  0.682  1.0
  O  O16  1  0.000  0.000  0.177  1.0
  O  O17  1  0.161  0.693  0.391  1.0
  O  O18  1  0.491  0.032  0.677  1.0
  O  O19  1  0.032  0.491  0.677  1.0
  O  O20  1  0.848  0.848  0.880  1.0
  O  O21  1  0.155  0.155  0.396  1.0
  O  O22  1  0.971  0.510  0.175  1.0
  O  O23  1  0.510  0.971  0.175  1.0
  O  O24  1  0.667  0.667  0.398  1.0
  O  O25  1  0.843  0.304  0.891  1.0
  O  O26  1  0.512  0.512  0.172  1.0
  O  O27  1  0.304  0.843  0.891  1.0
[/CIF]
.