The material described by Li4Cr3Sn3(SbO8)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 Cr(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Sb(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. 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 Sn(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Sb(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-67°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Sn(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(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form SnO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the second Sn site, Sn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted SbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. In the second Sb site, Sb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-56°. 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 Cr(2), one Sn(2), and one Sb(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), two equivalent Sn(1), and one Sb(1) atom. In the third O site, O(3) is bonded to one Li(1), one Cr(1), and two equivalent Sn(1) atoms to form distorted OLiCrSn2 trigonal pyramids that share  a cornercorner with one O(12)LiCr2Sb tetrahedra, corners with three equivalent O(4)LiCrSn2 tetrahedra, corners with two equivalent O(9)LiCrSnSb trigonal pyramids, and edges with two equivalent O(6)LiCrSnSb tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), and two equivalent Sn(1) atoms to form distorted OLiCrSn2 tetrahedra that share corners with four equivalent O(6)LiCrSnSb tetrahedra and corners with three equivalent O(3)LiCrSn2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Cr(2), and one Sn(2) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(12)LiCr2Sb tetrahedra, corners with three equivalent O(10)LiCr2Sn trigonal pyramids, and corners with four equivalent O(9)LiCrSnSb trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Sn(1), and one Sb(1) atom to form distorted OLiCrSnSb tetrahedra that share  a cornercorner with one O(6)LiCrSnSb tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(10)LiCr2Sn trigonal pyramid,  an edgeedge with one O(6)LiCrSnSb tetrahedra, and  an edgeedge with one O(3)LiCrSn2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Sn(1), and one Sb(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 Cr(2), and one Sb(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Sn(2), and one Sb(2) atom to form distorted OLiCrSnSb trigonal pyramids that share  a cornercorner with one O(12)LiCr2Sb tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(3)LiCrSn2 trigonal pyramid,  a cornercorner with one O(9)LiCrSnSb trigonal pyramid,  an edgeedge with one O(12)LiCr2Sb tetrahedra,  an edgeedge with one O(10)LiCr2Sn trigonal pyramid, and  an edgeedge with one O(9)LiCrSnSb trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Cr(2), and one Sn(2) atom to form distorted OLiCr2Sn trigonal pyramids that share corners with two equivalent O(6)LiCrSnSb tetrahedra, corners with three equivalent O(5)LiCr2Sn tetrahedra,  an edgeedge with one O(12)LiCr2Sb tetrahedra, and edges with two equivalent O(9)LiCrSnSb trigonal pyramids. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Sn(1), and one Sb(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Sb(2) atom to form distorted OLiCr2Sb tetrahedra that share corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(3)LiCrSn2 trigonal pyramid, corners with two equivalent O(9)LiCrSnSb trigonal pyramids,  an edgeedge with one O(10)LiCr2Sn trigonal pyramid, and edges with two equivalent O(9)LiCrSnSb trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Cr3Sn3(SbO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.194
_cell_length_b   6.194
_cell_length_c   10.130
_cell_angle_alpha   89.559
_cell_angle_beta   89.559
_cell_angle_gamma   60.353
_symmetry_Int_Tables_number   1
_cell_volume   337.711
_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  0.331  0.331  0.110  1.0
  Li  Li1  1  0.008  0.008  0.009  1.0
  Li  Li2  1  0.007  0.007  0.501  1.0
  Li  Li3  1  0.666  0.666  0.602  1.0
  Cr  Cr4  1  0.169  0.169  0.785  1.0
  Cr  Cr5  1  0.831  0.338  0.284  1.0
  Cr  Cr6  1  0.338  0.831  0.284  1.0
  Sn  Sn7  1  0.664  0.168  0.784  1.0
  Sn  Sn8  1  0.168  0.664  0.784  1.0
  Sn  Sn9  1  0.832  0.832  0.285  1.0
  Sb  Sb10  1  0.326  0.326  0.498  1.0
  Sb  Sb11  1  0.660  0.660  0.016  1.0
  O  O12  1  0.692  0.157  0.399  1.0
  O  O13  1  0.488  0.488  0.666  1.0
  O  O14  1  0.330  0.330  0.895  1.0
  O  O15  1  0.005  0.005  0.683  1.0
  O  O16  1  0.004  0.004  0.189  1.0
  O  O17  1  0.157  0.692  0.399  1.0
  O  O18  1  0.481  0.029  0.670  1.0
  O  O19  1  0.029  0.481  0.670  1.0
  O  O20  1  0.846  0.846  0.903  1.0
  O  O21  1  0.155  0.155  0.391  1.0
  O  O22  1  0.965  0.512  0.164  1.0
  O  O23  1  0.512  0.965  0.164  1.0
  O  O24  1  0.663  0.663  0.389  1.0
  O  O25  1  0.850  0.306  0.898  1.0
  O  O26  1  0.516  0.516  0.171  1.0
  O  O27  1  0.306  0.850  0.898  1.0
[/CIF]
.
The material described by Li4Cr3Sn3(SbO8)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 Cr(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Sb(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. 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 Sn(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Sb(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-67°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Sn(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(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form SnO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the second Sn site, Sn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted SbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. In the second Sb site, Sb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-56°. 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 Cr(2), one Sn(2), and one Sb(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), two equivalent Sn(1), and one Sb(1) atom. In the third O site, O(3) is bonded to one Li(1), one Cr(1), and two equivalent Sn(1) atoms to form distorted OLiCrSn2 trigonal pyramids that share  a cornercorner with one O(12)LiCr2Sb tetrahedra, corners with three equivalent O(4)LiCrSn2 tetrahedra, corners with two equivalent O(9)LiCrSnSb trigonal pyramids, and edges with two equivalent O(6)LiCrSnSb tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), and two equivalent Sn(1) atoms to form distorted OLiCrSn2 tetrahedra that share corners with four equivalent O(6)LiCrSnSb tetrahedra and corners with three equivalent O(3)LiCrSn2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Cr(2), and one Sn(2) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(12)LiCr2Sb tetrahedra, corners with three equivalent O(10)LiCr2Sn trigonal pyramids, and corners with four equivalent O(9)LiCrSnSb trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Sn(1), and one Sb(1) atom to form distorted OLiCrSnSb tetrahedra that share  a cornercorner with one O(6)LiCrSnSb tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(10)LiCr2Sn trigonal pyramid,  an edgeedge with one O(6)LiCrSnSb tetrahedra, and  an edgeedge with one O(3)LiCrSn2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Sn(1), and one Sb(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 Cr(2), and one Sb(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Sn(2), and one Sb(2) atom to form distorted OLiCrSnSb trigonal pyramids that share  a cornercorner with one O(12)LiCr2Sb tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(3)LiCrSn2 trigonal pyramid,  a cornercorner with one O(9)LiCrSnSb trigonal pyramid,  an edgeedge with one O(12)LiCr2Sb tetrahedra,  an edgeedge with one O(10)LiCr2Sn trigonal pyramid, and  an edgeedge with one O(9)LiCrSnSb trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Cr(2), and one Sn(2) atom to form distorted OLiCr2Sn trigonal pyramids that share corners with two equivalent O(6)LiCrSnSb tetrahedra, corners with three equivalent O(5)LiCr2Sn tetrahedra,  an edgeedge with one O(12)LiCr2Sb tetrahedra, and edges with two equivalent O(9)LiCrSnSb trigonal pyramids. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Sn(1), and one Sb(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Sb(2) atom to form distorted OLiCr2Sb tetrahedra that share corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(3)LiCrSn2 trigonal pyramid, corners with two equivalent O(9)LiCrSnSb trigonal pyramids,  an edgeedge with one O(10)LiCr2Sn trigonal pyramid, and edges with two equivalent O(9)LiCrSnSb trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Cr3Sn3(SbO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.194
_cell_length_b   6.194
_cell_length_c   10.130
_cell_angle_alpha   89.559
_cell_angle_beta   89.559
_cell_angle_gamma   60.353
_symmetry_Int_Tables_number   1
_cell_volume   337.711
_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  0.331  0.331  0.110  1.0
  Li  Li1  1  0.008  0.008  0.009  1.0
  Li  Li2  1  0.007  0.007  0.501  1.0
  Li  Li3  1  0.666  0.666  0.602  1.0
  Cr  Cr4  1  0.169  0.169  0.785  1.0
  Cr  Cr5  1  0.831  0.338  0.284  1.0
  Cr  Cr6  1  0.338  0.831  0.284  1.0
  Sn  Sn7  1  0.664  0.168  0.784  1.0
  Sn  Sn8  1  0.168  0.664  0.784  1.0
  Sn  Sn9  1  0.832  0.832  0.285  1.0
  Sb  Sb10  1  0.326  0.326  0.498  1.0
  Sb  Sb11  1  0.660  0.660  0.016  1.0
  O  O12  1  0.692  0.157  0.399  1.0
  O  O13  1  0.488  0.488  0.666  1.0
  O  O14  1  0.330  0.330  0.895  1.0
  O  O15  1  0.005  0.005  0.683  1.0
  O  O16  1  0.004  0.004  0.189  1.0
  O  O17  1  0.157  0.692  0.399  1.0
  O  O18  1  0.481  0.029  0.670  1.0
  O  O19  1  0.029  0.481  0.670  1.0
  O  O20  1  0.846  0.846  0.903  1.0
  O  O21  1  0.155  0.155  0.391  1.0
  O  O22  1  0.965  0.512  0.164  1.0
  O  O23  1  0.512  0.965  0.164  1.0
  O  O24  1  0.663  0.663  0.389  1.0
  O  O25  1  0.850  0.306  0.898  1.0
  O  O26  1  0.516  0.516  0.171  1.0
  O  O27  1  0.306  0.850  0.898  1.0
[/CIF]
.