The material structure described by Li4Cr3Mn2Sn3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, and corners with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-65°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-65°. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-66°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form CrO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. In the third Cr site, Cr(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Sn(3)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 Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-56°. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. In the second Sn site, Sn(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Mn(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 Mn(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 are 52°. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form SnO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are sixteen 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 Mn(1), and one Sn(3) atom. In the second O site, O(2) is bonded to one Li(4), one Mn(1), one Sn(1), and one Sn(2) atom to form distorted OLiMnSn2 tetrahedra that share corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid,  a cornercorner with one O(7)LiMnCrSn trigonal pyramid,  a cornercorner with one O(8)LiMnCrSn trigonal pyramid,  an edgeedge with one O(7)LiMnCrSn trigonal pyramid, and  an edgeedge with one O(8)LiMnCrSn trigonal pyramid. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(1), one Sn(1), and one Sn(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Sn(1), and one Sn(2) atom to form distorted OLiCrSn2 tetrahedra that share corners with two equivalent O(2)LiMnSn2 tetrahedra, corners with two equivalent O(7)LiMnCrSn trigonal pyramids, and corners with two equivalent O(8)LiMnCrSn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), one Cr(3), and one Sn(3) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(15)LiMnCr2 tetrahedra and corners with three equivalent O(13)LiCr2Sn trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(1), and one Sn(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Mn(1), and one Sn(1) atom to form distorted OLiMnCrSn trigonal pyramids that share  a cornercorner with one O(2)LiMnSn2 tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid,  a cornercorner with one O(8)LiMnCrSn trigonal pyramid,  an edgeedge with one O(2)LiMnSn2 tetrahedra, and  an edgeedge with one O(8)LiMnCrSn trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Cr(1), one Mn(1), and one Sn(2) atom to form distorted OLiMnCrSn trigonal pyramids that share  a cornercorner with one O(2)LiMnSn2 tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid,  a cornercorner with one O(7)LiMnCrSn trigonal pyramid,  an edgeedge with one O(2)LiMnSn2 tetrahedra, and  an edgeedge with one O(7)LiMnCrSn trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(2), one Sn(1), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(2), one Cr(3), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(2), one Mn(2), and one Sn(3) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(3), one Mn(2), and one Sn(3) atom. In the thirteenth O site, O(13) is bonded to one Li(4), one Cr(2), one Cr(3), and one Sn(3) atom to form distorted OLiCr2Sn trigonal pyramids that share  a cornercorner with one O(2)LiMnSn2 tetrahedra, corners with three equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(7)LiMnCrSn trigonal pyramid,  a cornercorner with one O(8)LiMnCrSn trigonal pyramid, and  an edgeedge with one O(15)LiMnCr2 tetrahedra. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(2), and one Sn(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Cr(2), one Cr(3), and one Mn(2) atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(2), and one Sn(2) atom. is represented by the CIF file [CIF]
data_Li4Mn2Cr3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.088
_cell_length_b   6.141
_cell_length_c   9.656
_cell_angle_alpha   89.874
_cell_angle_beta   90.780
_cell_angle_gamma   120.341
_symmetry_Int_Tables_number   1
_cell_volume   311.477
_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  0.344  0.672  0.893  1.0
  Li  Li1  1  0.971  0.986  0.991  1.0
  Li  Li2  1  0.971  0.986  0.499  1.0
  Li  Li3  1  0.674  0.337  0.400  1.0
  Mn  Mn4  1  0.342  0.671  0.494  1.0
  Mn  Mn5  1  0.679  0.340  0.980  1.0
  Cr  Cr6  1  0.660  0.830  0.213  1.0
  Cr  Cr7  1  0.829  0.660  0.714  1.0
  Cr  Cr8  1  0.829  0.169  0.714  1.0
  Sn  Sn9  1  0.175  0.835  0.213  1.0
  Sn  Sn10  1  0.176  0.341  0.213  1.0
  Sn  Sn11  1  0.333  0.166  0.711  1.0
  O  O12  1  0.150  0.832  0.599  1.0
  O  O13  1  0.050  0.525  0.350  1.0
  O  O14  1  0.339  0.670  0.098  1.0
  O  O15  1  0.995  0.998  0.313  1.0
  O  O16  1  0.989  0.995  0.810  1.0
  O  O17  1  0.151  0.320  0.599  1.0
  O  O18  1  0.498  0.969  0.337  1.0
  O  O19  1  0.499  0.527  0.336  1.0
  O  O20  1  0.326  0.163  0.090  1.0
  O  O21  1  0.659  0.830  0.605  1.0
  O  O22  1  0.532  0.482  0.848  1.0
  O  O23  1  0.532  0.049  0.848  1.0
  O  O24  1  0.671  0.336  0.606  1.0
  O  O25  1  0.834  0.668  0.095  1.0
  O  O26  1  0.959  0.479  0.841  1.0
  O  O27  1  0.834  0.167  0.096  1.0
[/CIF]
.
The material structure described by Li4Cr3Mn2Sn3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, and corners with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-65°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-65°. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-66°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form CrO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. In the third Cr site, Cr(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Sn(3)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 Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-56°. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. In the second Sn site, Sn(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Mn(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 Mn(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 are 52°. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form SnO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are sixteen 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 Mn(1), and one Sn(3) atom. In the second O site, O(2) is bonded to one Li(4), one Mn(1), one Sn(1), and one Sn(2) atom to form distorted OLiMnSn2 tetrahedra that share corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid,  a cornercorner with one O(7)LiMnCrSn trigonal pyramid,  a cornercorner with one O(8)LiMnCrSn trigonal pyramid,  an edgeedge with one O(7)LiMnCrSn trigonal pyramid, and  an edgeedge with one O(8)LiMnCrSn trigonal pyramid. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(1), one Sn(1), and one Sn(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Sn(1), and one Sn(2) atom to form distorted OLiCrSn2 tetrahedra that share corners with two equivalent O(2)LiMnSn2 tetrahedra, corners with two equivalent O(7)LiMnCrSn trigonal pyramids, and corners with two equivalent O(8)LiMnCrSn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), one Cr(3), and one Sn(3) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(15)LiMnCr2 tetrahedra and corners with three equivalent O(13)LiCr2Sn trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(1), and one Sn(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Mn(1), and one Sn(1) atom to form distorted OLiMnCrSn trigonal pyramids that share  a cornercorner with one O(2)LiMnSn2 tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid,  a cornercorner with one O(8)LiMnCrSn trigonal pyramid,  an edgeedge with one O(2)LiMnSn2 tetrahedra, and  an edgeedge with one O(8)LiMnCrSn trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Cr(1), one Mn(1), and one Sn(2) atom to form distorted OLiMnCrSn trigonal pyramids that share  a cornercorner with one O(2)LiMnSn2 tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid,  a cornercorner with one O(7)LiMnCrSn trigonal pyramid,  an edgeedge with one O(2)LiMnSn2 tetrahedra, and  an edgeedge with one O(7)LiMnCrSn trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(2), one Sn(1), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(2), one Cr(3), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(2), one Mn(2), and one Sn(3) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(3), one Mn(2), and one Sn(3) atom. In the thirteenth O site, O(13) is bonded to one Li(4), one Cr(2), one Cr(3), and one Sn(3) atom to form distorted OLiCr2Sn trigonal pyramids that share  a cornercorner with one O(2)LiMnSn2 tetrahedra, corners with three equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(7)LiMnCrSn trigonal pyramid,  a cornercorner with one O(8)LiMnCrSn trigonal pyramid, and  an edgeedge with one O(15)LiMnCr2 tetrahedra. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(2), and one Sn(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Cr(2), one Cr(3), and one Mn(2) atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(2), and one Sn(2) atom. is represented by the CIF file [CIF]
data_Li4Mn2Cr3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.088
_cell_length_b   6.141
_cell_length_c   9.656
_cell_angle_alpha   89.874
_cell_angle_beta   90.780
_cell_angle_gamma   120.341
_symmetry_Int_Tables_number   1
_cell_volume   311.477
_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  0.344  0.672  0.893  1.0
  Li  Li1  1  0.971  0.986  0.991  1.0
  Li  Li2  1  0.971  0.986  0.499  1.0
  Li  Li3  1  0.674  0.337  0.400  1.0
  Mn  Mn4  1  0.342  0.671  0.494  1.0
  Mn  Mn5  1  0.679  0.340  0.980  1.0
  Cr  Cr6  1  0.660  0.830  0.213  1.0
  Cr  Cr7  1  0.829  0.660  0.714  1.0
  Cr  Cr8  1  0.829  0.169  0.714  1.0
  Sn  Sn9  1  0.175  0.835  0.213  1.0
  Sn  Sn10  1  0.176  0.341  0.213  1.0
  Sn  Sn11  1  0.333  0.166  0.711  1.0
  O  O12  1  0.150  0.832  0.599  1.0
  O  O13  1  0.050  0.525  0.350  1.0
  O  O14  1  0.339  0.670  0.098  1.0
  O  O15  1  0.995  0.998  0.313  1.0
  O  O16  1  0.989  0.995  0.810  1.0
  O  O17  1  0.151  0.320  0.599  1.0
  O  O18  1  0.498  0.969  0.337  1.0
  O  O19  1  0.499  0.527  0.336  1.0
  O  O20  1  0.326  0.163  0.090  1.0
  O  O21  1  0.659  0.830  0.605  1.0
  O  O22  1  0.532  0.482  0.848  1.0
  O  O23  1  0.532  0.049  0.848  1.0
  O  O24  1  0.671  0.336  0.606  1.0
  O  O25  1  0.834  0.668  0.095  1.0
  O  O26  1  0.959  0.479  0.841  1.0
  O  O27  1  0.834  0.167  0.096  1.0
[/CIF]
.