The material described by Li4Cr2Mn3Sn3O16 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 Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-64°. 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 Mn(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-64°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-65°. 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 Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. In the second Cr site, Cr(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(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 50°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Cr(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 Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Mn(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 are 52°. 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 Cr(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 Cr(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 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(3), one Cr(1), one Mn(2), and one Sn(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), and two equivalent Sn(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded in a distorted tetrahedral geometry to one Li(3), one Mn(1), and two equivalent Sn(1) atoms. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sn(2) atom to form distorted corner-sharing OLiMn2Sn tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Mn(1), and one Sn(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Mn(2), and one Sn(2) atom to form distorted OLiMnCrSn tetrahedra that share  a cornercorner with one O(9)LiMnCrSn tetrahedra, corners with two equivalent O(5)LiMn2Sn tetrahedra, and  an edgeedge with one O(9)LiMnCrSn tetrahedra. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(2), and two equivalent Mn(2) atoms. is represented by the CIF card [CIF]
data_Li4Mn3Cr2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.075
_cell_length_b   6.075
_cell_length_c   9.653
_cell_angle_alpha   89.814
_cell_angle_beta   89.814
_cell_angle_gamma   61.101
_symmetry_Int_Tables_number   1
_cell_volume   311.835
_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  0.674  0.674  0.886  1.0
  Li  Li1  1  0.989  0.989  0.992  1.0
  Li  Li2  1  0.984  0.984  0.500  1.0
  Li  Li3  1  0.332  0.332  0.397  1.0
  Mn  Mn4  1  0.831  0.831  0.213  1.0
  Mn  Mn5  1  0.659  0.173  0.715  1.0
  Mn  Mn6  1  0.173  0.659  0.715  1.0
  Cr  Cr7  1  0.667  0.667  0.490  1.0
  Cr  Cr8  1  0.342  0.342  0.982  1.0
  Sn  Sn9  1  0.832  0.338  0.214  1.0
  Sn  Sn10  1  0.338  0.832  0.214  1.0
  Sn  Sn11  1  0.168  0.168  0.711  1.0
  O  O12  1  0.829  0.318  0.599  1.0
  O  O13  1  0.516  0.516  0.345  1.0
  O  O14  1  0.678  0.678  0.100  1.0
  O  O15  1  0.990  0.990  0.313  1.0
  O  O16  1  0.991  0.991  0.807  1.0
  O  O17  1  0.318  0.829  0.599  1.0
  O  O18  1  0.959  0.517  0.351  1.0
  O  O19  1  0.517  0.959  0.351  1.0
  O  O20  1  0.164  0.164  0.096  1.0
  O  O21  1  0.828  0.828  0.606  1.0
  O  O22  1  0.488  0.047  0.840  1.0
  O  O23  1  0.047  0.488  0.840  1.0
  O  O24  1  0.340  0.340  0.604  1.0
  O  O25  1  0.672  0.170  0.095  1.0
  O  O26  1  0.485  0.485  0.840  1.0
  O  O27  1  0.170  0.672  0.095  1.0
[/CIF]
.
The material described by Li4Cr2Mn3Sn3O16 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 Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-64°. 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 Mn(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-64°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-65°. 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 Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. In the second Cr site, Cr(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(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 50°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Cr(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 Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Mn(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 are 52°. 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 Cr(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 Cr(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 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(3), one Cr(1), one Mn(2), and one Sn(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), and two equivalent Sn(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded in a distorted tetrahedral geometry to one Li(3), one Mn(1), and two equivalent Sn(1) atoms. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sn(2) atom to form distorted corner-sharing OLiMn2Sn tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Mn(1), and one Sn(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Mn(2), and one Sn(2) atom to form distorted OLiMnCrSn tetrahedra that share  a cornercorner with one O(9)LiMnCrSn tetrahedra, corners with two equivalent O(5)LiMn2Sn tetrahedra, and  an edgeedge with one O(9)LiMnCrSn tetrahedra. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(2), and two equivalent Mn(2) atoms. is represented by the CIF card [CIF]
data_Li4Mn3Cr2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.075
_cell_length_b   6.075
_cell_length_c   9.653
_cell_angle_alpha   89.814
_cell_angle_beta   89.814
_cell_angle_gamma   61.101
_symmetry_Int_Tables_number   1
_cell_volume   311.835
_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  0.674  0.674  0.886  1.0
  Li  Li1  1  0.989  0.989  0.992  1.0
  Li  Li2  1  0.984  0.984  0.500  1.0
  Li  Li3  1  0.332  0.332  0.397  1.0
  Mn  Mn4  1  0.831  0.831  0.213  1.0
  Mn  Mn5  1  0.659  0.173  0.715  1.0
  Mn  Mn6  1  0.173  0.659  0.715  1.0
  Cr  Cr7  1  0.667  0.667  0.490  1.0
  Cr  Cr8  1  0.342  0.342  0.982  1.0
  Sn  Sn9  1  0.832  0.338  0.214  1.0
  Sn  Sn10  1  0.338  0.832  0.214  1.0
  Sn  Sn11  1  0.168  0.168  0.711  1.0
  O  O12  1  0.829  0.318  0.599  1.0
  O  O13  1  0.516  0.516  0.345  1.0
  O  O14  1  0.678  0.678  0.100  1.0
  O  O15  1  0.990  0.990  0.313  1.0
  O  O16  1  0.991  0.991  0.807  1.0
  O  O17  1  0.318  0.829  0.599  1.0
  O  O18  1  0.959  0.517  0.351  1.0
  O  O19  1  0.517  0.959  0.351  1.0
  O  O20  1  0.164  0.164  0.096  1.0
  O  O21  1  0.828  0.828  0.606  1.0
  O  O22  1  0.488  0.047  0.840  1.0
  O  O23  1  0.047  0.488  0.840  1.0
  O  O24  1  0.340  0.340  0.604  1.0
  O  O25  1  0.672  0.170  0.095  1.0
  O  O26  1  0.485  0.485  0.840  1.0
  O  O27  1  0.170  0.672  0.095  1.0
[/CIF]
.