The structure described by Li4Cr3Sn3(TeO8)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 Te(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra,  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 61-66°. In the third Li site, Li(3) is bonded in a distorted 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 Te(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. 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 Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. 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 Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(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 50-54°. 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 Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-54°. 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 Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form TeO6 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 50-59°. In the second Te site, Te(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TeO6 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, corners with three equivalent Li(2)O4 trigonal pyramids,  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 51-54°. 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 Te(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Sn(1), and one Te(1) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(1), and two equivalent Sn(1) atoms. 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 corner-sharing OLiCrSn2 tetrahedra. 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)LiCr2Te tetrahedra, corners with three equivalent O(10)LiCr2Sn tetrahedra, and corners with four equivalent O(9)LiCrSnTe tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Sn(1), and one Te(1) atom to form distorted OLiCrSnTe tetrahedra that share  a cornercorner with one O(10)LiCr2Sn tetrahedra,  a cornercorner with one O(6)LiCrSnTe tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra, and  an edgeedge with one O(6)LiCrSnTe tetrahedra. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), two equivalent Sn(1), and one Te(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Cr(2), and one Te(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Sn(2), and one Te(2) atom to form distorted OLiCrSnTe tetrahedra that share  a cornercorner with one O(12)LiCr2Te tetrahedra,  a cornercorner with one O(9)LiCrSnTe tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  an edgeedge with one O(10)LiCr2Sn tetrahedra,  an edgeedge with one O(12)LiCr2Te tetrahedra, and  an edgeedge with one O(9)LiCrSnTe tetrahedra. 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 tetrahedra that share corners with two equivalent O(6)LiCrSnTe tetrahedra, corners with three equivalent O(5)LiCr2Sn tetrahedra,  an edgeedge with one O(12)LiCr2Te tetrahedra, and edges with two equivalent O(9)LiCrSnTe tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Sn(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Te(2) atom to form OLiCr2Te tetrahedra that share corners with two equivalent O(5)LiCr2Sn tetrahedra, corners with two equivalent O(9)LiCrSnTe tetrahedra,  an edgeedge with one O(10)LiCr2Sn tetrahedra, and edges with two equivalent O(9)LiCrSnTe tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Sn3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.276
_cell_length_b   6.276
_cell_length_c   10.146
_cell_angle_alpha   88.600
_cell_angle_beta   88.600
_cell_angle_gamma   59.720
_symmetry_Int_Tables_number   1
_cell_volume   345.008
_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  0.673  0.673  0.104  1.0
  Li  Li1  1  0.995  0.995  0.011  1.0
  Li  Li2  1  0.994  0.994  0.504  1.0
  Li  Li3  1  0.334  0.334  0.591  1.0
  Cr  Cr4  1  0.833  0.833  0.791  1.0
  Cr  Cr5  1  0.167  0.664  0.287  1.0
  Cr  Cr6  1  0.664  0.167  0.287  1.0
  Sn  Sn7  1  0.336  0.833  0.785  1.0
  Sn  Sn8  1  0.833  0.336  0.785  1.0
  Sn  Sn9  1  0.167  0.167  0.287  1.0
  Te  Te10  1  0.676  0.676  0.508  1.0
  Te  Te11  1  0.348  0.348  0.020  1.0
  O  O12  1  0.303  0.838  0.396  1.0
  O  O13  1  0.512  0.512  0.669  1.0
  O  O14  1  0.666  0.666  0.892  1.0
  O  O15  1  0.997  0.997  0.687  1.0
  O  O16  1  0.996  0.996  0.191  1.0
  O  O17  1  0.838  0.303  0.396  1.0
  O  O18  1  0.511  0.960  0.648  1.0
  O  O19  1  0.960  0.511  0.648  1.0
  O  O20  1  0.152  0.152  0.893  1.0
  O  O21  1  0.844  0.844  0.401  1.0
  O  O22  1  0.035  0.494  0.169  1.0
  O  O23  1  0.494  0.035  0.169  1.0
  O  O24  1  0.335  0.335  0.388  1.0
  O  O25  1  0.176  0.684  0.913  1.0
  O  O26  1  0.480  0.480  0.161  1.0
  O  O27  1  0.684  0.176  0.913  1.0
[/CIF]
.
The structure described by Li4Cr3Sn3(TeO8)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 Te(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra,  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 61-66°. In the third Li site, Li(3) is bonded in a distorted 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 Te(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. 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 Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. 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 Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(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 50-54°. 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 Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-54°. 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 Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form TeO6 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 50-59°. In the second Te site, Te(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TeO6 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, corners with three equivalent Li(2)O4 trigonal pyramids,  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 51-54°. 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 Te(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Sn(1), and one Te(1) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(1), and two equivalent Sn(1) atoms. 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 corner-sharing OLiCrSn2 tetrahedra. 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)LiCr2Te tetrahedra, corners with three equivalent O(10)LiCr2Sn tetrahedra, and corners with four equivalent O(9)LiCrSnTe tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Sn(1), and one Te(1) atom to form distorted OLiCrSnTe tetrahedra that share  a cornercorner with one O(10)LiCr2Sn tetrahedra,  a cornercorner with one O(6)LiCrSnTe tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra, and  an edgeedge with one O(6)LiCrSnTe tetrahedra. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), two equivalent Sn(1), and one Te(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Cr(2), and one Te(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Sn(2), and one Te(2) atom to form distorted OLiCrSnTe tetrahedra that share  a cornercorner with one O(12)LiCr2Te tetrahedra,  a cornercorner with one O(9)LiCrSnTe tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  an edgeedge with one O(10)LiCr2Sn tetrahedra,  an edgeedge with one O(12)LiCr2Te tetrahedra, and  an edgeedge with one O(9)LiCrSnTe tetrahedra. 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 tetrahedra that share corners with two equivalent O(6)LiCrSnTe tetrahedra, corners with three equivalent O(5)LiCr2Sn tetrahedra,  an edgeedge with one O(12)LiCr2Te tetrahedra, and edges with two equivalent O(9)LiCrSnTe tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Sn(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Te(2) atom to form OLiCr2Te tetrahedra that share corners with two equivalent O(5)LiCr2Sn tetrahedra, corners with two equivalent O(9)LiCrSnTe tetrahedra,  an edgeedge with one O(10)LiCr2Sn tetrahedra, and edges with two equivalent O(9)LiCrSnTe tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Sn3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.276
_cell_length_b   6.276
_cell_length_c   10.146
_cell_angle_alpha   88.600
_cell_angle_beta   88.600
_cell_angle_gamma   59.720
_symmetry_Int_Tables_number   1
_cell_volume   345.008
_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  0.673  0.673  0.104  1.0
  Li  Li1  1  0.995  0.995  0.011  1.0
  Li  Li2  1  0.994  0.994  0.504  1.0
  Li  Li3  1  0.334  0.334  0.591  1.0
  Cr  Cr4  1  0.833  0.833  0.791  1.0
  Cr  Cr5  1  0.167  0.664  0.287  1.0
  Cr  Cr6  1  0.664  0.167  0.287  1.0
  Sn  Sn7  1  0.336  0.833  0.785  1.0
  Sn  Sn8  1  0.833  0.336  0.785  1.0
  Sn  Sn9  1  0.167  0.167  0.287  1.0
  Te  Te10  1  0.676  0.676  0.508  1.0
  Te  Te11  1  0.348  0.348  0.020  1.0
  O  O12  1  0.303  0.838  0.396  1.0
  O  O13  1  0.512  0.512  0.669  1.0
  O  O14  1  0.666  0.666  0.892  1.0
  O  O15  1  0.997  0.997  0.687  1.0
  O  O16  1  0.996  0.996  0.191  1.0
  O  O17  1  0.838  0.303  0.396  1.0
  O  O18  1  0.511  0.960  0.648  1.0
  O  O19  1  0.960  0.511  0.648  1.0
  O  O20  1  0.152  0.152  0.893  1.0
  O  O21  1  0.844  0.844  0.401  1.0
  O  O22  1  0.035  0.494  0.169  1.0
  O  O23  1  0.494  0.035  0.169  1.0
  O  O24  1  0.335  0.335  0.388  1.0
  O  O25  1  0.176  0.684  0.913  1.0
  O  O26  1  0.480  0.480  0.161  1.0
  O  O27  1  0.684  0.176  0.913  1.0
[/CIF]
.