The crystal structure described by Li4Cr3Fe3(SnO8)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 Fe(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. 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 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 Cr(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-63°. 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 Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. 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 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, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Fe site, Fe(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 FeO6 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 Cr(2)O6 octahedra, and edges with two equivalent Fe(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(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. 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 Fe(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Cr(1), and one Sn(1) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(4)LiCr2Fe tetrahedra, corners with two equivalent O(6)LiCrFeSn tetrahedra,  a cornercorner with one O(10)LiCrFe2 trigonal pyramid, edges with two equivalent O(6)LiCrFeSn tetrahedra, and  an edgeedge with one O(3)LiCr2Fe trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Fe(1) atom to form distorted OLiCr2Fe trigonal pyramids that share  a cornercorner with one O(12)LiFe2Sn tetrahedra, corners with two equivalent O(9)LiCrFeSn tetrahedra, corners with three equivalent O(4)LiCr2Fe tetrahedra,  an edgeedge with one O(2)LiCr2Sn tetrahedra, and edges with two equivalent O(6)LiCrFeSn tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Fe(1) atom to form distorted OLiCr2Fe tetrahedra that share corners with two equivalent O(2)LiCr2Sn tetrahedra, corners with four equivalent O(6)LiCrFeSn tetrahedra, and corners with three equivalent O(3)LiCr2Fe trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Fe(2) atoms to form OLiCrFe2 tetrahedra that share corners with two equivalent O(12)LiFe2Sn tetrahedra, corners with four equivalent O(9)LiCrFeSn tetrahedra, and corners with three equivalent O(10)LiCrFe2 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Fe(1), and one Sn(1) atom to form distorted OLiCrFeSn tetrahedra that share  a cornercorner with one O(2)LiCr2Sn tetrahedra,  a cornercorner with one O(6)LiCrFeSn tetrahedra, corners with two equivalent O(4)LiCr2Fe tetrahedra,  a cornercorner with one O(10)LiCrFe2 trigonal pyramid,  an edgeedge with one O(2)LiCr2Sn tetrahedra,  an edgeedge with one O(6)LiCrFeSn tetrahedra, and  an edgeedge with one O(3)LiCr2Fe trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Cr(1), and one Sn(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 Fe(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Fe(2), and one Sn(2) atom to form distorted OLiCrFeSn tetrahedra that share  a cornercorner with one O(9)LiCrFeSn tetrahedra,  a cornercorner with one O(12)LiFe2Sn tetrahedra, corners with two equivalent O(5)LiCrFe2 tetrahedra,  a cornercorner with one O(3)LiCr2Fe trigonal pyramid,  an edgeedge with one O(9)LiCrFeSn tetrahedra,  an edgeedge with one O(12)LiFe2Sn tetrahedra, and  an edgeedge with one O(10)LiCrFe2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Fe(2) atoms to form distorted OLiCrFe2 trigonal pyramids that share  a cornercorner with one O(2)LiCr2Sn tetrahedra, corners with two equivalent O(6)LiCrFeSn tetrahedra, corners with three equivalent O(5)LiCrFe2 tetrahedra,  an edgeedge with one O(12)LiFe2Sn tetrahedra, and edges with two equivalent O(9)LiCrFeSn 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 Fe(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn tetrahedra that share corners with two equivalent O(5)LiCrFe2 tetrahedra, corners with two equivalent O(9)LiCrFeSn tetrahedra,  a cornercorner with one O(3)LiCr2Fe trigonal pyramid, edges with two equivalent O(9)LiCrFeSn tetrahedra, and  an edgeedge with one O(10)LiCrFe2 trigonal pyramid. is represented by the CIF card [CIF]
data_Li4Cr3Fe3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.846
_cell_length_b   5.825
_cell_length_c   9.696
_cell_angle_alpha   90.013
_cell_angle_beta   89.634
_cell_angle_gamma   119.878
_symmetry_Int_Tables_number   1
_cell_volume   286.293
_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  0.668  0.892  1.0
  Li  Li1  1  0.997  0.998  0.993  1.0
  Li  Li2  1  0.997  0.998  0.495  1.0
  Li  Li3  1  0.670  0.335  0.392  1.0
  Cr  Cr4  1  0.169  0.828  0.216  1.0
  Cr  Cr5  1  0.169  0.341  0.216  1.0
  Cr  Cr6  1  0.337  0.168  0.716  1.0
  Fe  Fe7  1  0.661  0.830  0.215  1.0
  Fe  Fe8  1  0.830  0.656  0.715  1.0
  Fe  Fe9  1  0.830  0.175  0.715  1.0
  Sn  Sn10  1  0.336  0.668  0.493  1.0
  Sn  Sn11  1  0.665  0.332  0.992  1.0
  O  O12  1  0.155  0.838  0.602  1.0
  O  O13  1  0.033  0.517  0.337  1.0
  O  O14  1  0.339  0.670  0.108  1.0
  O  O15  1  0.995  0.998  0.309  1.0
  O  O16  1  0.988  0.994  0.807  1.0
  O  O17  1  0.155  0.317  0.602  1.0
  O  O18  1  0.489  0.968  0.333  1.0
  O  O19  1  0.489  0.521  0.333  1.0
  O  O20  1  0.315  0.158  0.101  1.0
  O  O21  1  0.686  0.843  0.607  1.0
  O  O22  1  0.523  0.488  0.833  1.0
  O  O23  1  0.523  0.035  0.833  1.0
  O  O24  1  0.671  0.335  0.610  1.0
  O  O25  1  0.837  0.682  0.103  1.0
  O  O26  1  0.969  0.484  0.835  1.0
  O  O27  1  0.838  0.155  0.103  1.0
[/CIF]
.
The crystal structure described by Li4Cr3Fe3(SnO8)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 Fe(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. 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 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 Cr(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-63°. 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 Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. 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 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, and edges with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Fe site, Fe(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 FeO6 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 Cr(2)O6 octahedra, and edges with two equivalent Fe(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(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. 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 Fe(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Cr(1), and one Sn(1) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(4)LiCr2Fe tetrahedra, corners with two equivalent O(6)LiCrFeSn tetrahedra,  a cornercorner with one O(10)LiCrFe2 trigonal pyramid, edges with two equivalent O(6)LiCrFeSn tetrahedra, and  an edgeedge with one O(3)LiCr2Fe trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Fe(1) atom to form distorted OLiCr2Fe trigonal pyramids that share  a cornercorner with one O(12)LiFe2Sn tetrahedra, corners with two equivalent O(9)LiCrFeSn tetrahedra, corners with three equivalent O(4)LiCr2Fe tetrahedra,  an edgeedge with one O(2)LiCr2Sn tetrahedra, and edges with two equivalent O(6)LiCrFeSn tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Fe(1) atom to form distorted OLiCr2Fe tetrahedra that share corners with two equivalent O(2)LiCr2Sn tetrahedra, corners with four equivalent O(6)LiCrFeSn tetrahedra, and corners with three equivalent O(3)LiCr2Fe trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Fe(2) atoms to form OLiCrFe2 tetrahedra that share corners with two equivalent O(12)LiFe2Sn tetrahedra, corners with four equivalent O(9)LiCrFeSn tetrahedra, and corners with three equivalent O(10)LiCrFe2 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Fe(1), and one Sn(1) atom to form distorted OLiCrFeSn tetrahedra that share  a cornercorner with one O(2)LiCr2Sn tetrahedra,  a cornercorner with one O(6)LiCrFeSn tetrahedra, corners with two equivalent O(4)LiCr2Fe tetrahedra,  a cornercorner with one O(10)LiCrFe2 trigonal pyramid,  an edgeedge with one O(2)LiCr2Sn tetrahedra,  an edgeedge with one O(6)LiCrFeSn tetrahedra, and  an edgeedge with one O(3)LiCr2Fe trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Cr(1), and one Sn(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 Fe(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Fe(2), and one Sn(2) atom to form distorted OLiCrFeSn tetrahedra that share  a cornercorner with one O(9)LiCrFeSn tetrahedra,  a cornercorner with one O(12)LiFe2Sn tetrahedra, corners with two equivalent O(5)LiCrFe2 tetrahedra,  a cornercorner with one O(3)LiCr2Fe trigonal pyramid,  an edgeedge with one O(9)LiCrFeSn tetrahedra,  an edgeedge with one O(12)LiFe2Sn tetrahedra, and  an edgeedge with one O(10)LiCrFe2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Fe(2) atoms to form distorted OLiCrFe2 trigonal pyramids that share  a cornercorner with one O(2)LiCr2Sn tetrahedra, corners with two equivalent O(6)LiCrFeSn tetrahedra, corners with three equivalent O(5)LiCrFe2 tetrahedra,  an edgeedge with one O(12)LiFe2Sn tetrahedra, and edges with two equivalent O(9)LiCrFeSn 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 Fe(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn tetrahedra that share corners with two equivalent O(5)LiCrFe2 tetrahedra, corners with two equivalent O(9)LiCrFeSn tetrahedra,  a cornercorner with one O(3)LiCr2Fe trigonal pyramid, edges with two equivalent O(9)LiCrFeSn tetrahedra, and  an edgeedge with one O(10)LiCrFe2 trigonal pyramid. is represented by the CIF card [CIF]
data_Li4Cr3Fe3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.846
_cell_length_b   5.825
_cell_length_c   9.696
_cell_angle_alpha   90.013
_cell_angle_beta   89.634
_cell_angle_gamma   119.878
_symmetry_Int_Tables_number   1
_cell_volume   286.293
_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  0.668  0.892  1.0
  Li  Li1  1  0.997  0.998  0.993  1.0
  Li  Li2  1  0.997  0.998  0.495  1.0
  Li  Li3  1  0.670  0.335  0.392  1.0
  Cr  Cr4  1  0.169  0.828  0.216  1.0
  Cr  Cr5  1  0.169  0.341  0.216  1.0
  Cr  Cr6  1  0.337  0.168  0.716  1.0
  Fe  Fe7  1  0.661  0.830  0.215  1.0
  Fe  Fe8  1  0.830  0.656  0.715  1.0
  Fe  Fe9  1  0.830  0.175  0.715  1.0
  Sn  Sn10  1  0.336  0.668  0.493  1.0
  Sn  Sn11  1  0.665  0.332  0.992  1.0
  O  O12  1  0.155  0.838  0.602  1.0
  O  O13  1  0.033  0.517  0.337  1.0
  O  O14  1  0.339  0.670  0.108  1.0
  O  O15  1  0.995  0.998  0.309  1.0
  O  O16  1  0.988  0.994  0.807  1.0
  O  O17  1  0.155  0.317  0.602  1.0
  O  O18  1  0.489  0.968  0.333  1.0
  O  O19  1  0.489  0.521  0.333  1.0
  O  O20  1  0.315  0.158  0.101  1.0
  O  O21  1  0.686  0.843  0.607  1.0
  O  O22  1  0.523  0.488  0.833  1.0
  O  O23  1  0.523  0.035  0.833  1.0
  O  O24  1  0.671  0.335  0.610  1.0
  O  O25  1  0.837  0.682  0.103  1.0
  O  O26  1  0.969  0.484  0.835  1.0
  O  O27  1  0.838  0.155  0.103  1.0
[/CIF]
.