The material described by Li4Cr3Ni2Sn3O16 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 Ni(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-63°. 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 Ni(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. 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 Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. 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 Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(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 50-52°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form NiO6 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 50-57°. In the second Ni site, Ni(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form NiO6 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 48-56°. 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 Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(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 Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. 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(2), one Ni(1), 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 Ni(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 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 OLiCrSn2 tetrahedra that share corners with four equivalent O(6)LiCrNiSn tetrahedra and  a cornercorner with one O(8)LiCr2Ni trigonal pyramid. 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)LiCr2Ni tetrahedra, corners with four equivalent O(9)LiCrNiSn tetrahedra, and  an edgeedge with one O(8)LiCr2Ni trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Ni(1), and one Sn(1) atom to form distorted OLiCrNiSn tetrahedra that share  a cornercorner with one O(6)LiCrNiSn tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(8)LiCr2Ni trigonal pyramid, and  an edgeedge with one O(6)LiCrNiSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ni(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Cr(2), and one Ni(1) atom to form distorted OLiCr2Ni trigonal pyramids that share  a cornercorner with one O(4)LiCrSn2 tetrahedra, corners with two equivalent O(12)LiCr2Ni tetrahedra, corners with two equivalent O(6)LiCrNiSn tetrahedra, corners with two equivalent O(9)LiCrNiSn tetrahedra, and  an edgeedge with one O(5)LiCr2Sn tetrahedra. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Ni(2), and one Sn(2) atom to form distorted OLiCrNiSn tetrahedra that share  a cornercorner with one O(12)LiCr2Ni tetrahedra,  a cornercorner with one O(9)LiCrNiSn tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(8)LiCr2Ni trigonal pyramid,  an edgeedge with one O(12)LiCr2Ni tetrahedra, and  an edgeedge with one O(9)LiCrNiSn tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Cr(2), and one Sn(2) atom. 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 Ni(2), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Ni(2) atom to form distorted OLiCr2Ni tetrahedra that share corners with two equivalent O(5)LiCr2Sn tetrahedra, corners with two equivalent O(9)LiCrNiSn tetrahedra, corners with two equivalent O(8)LiCr2Ni trigonal pyramids, and edges with two equivalent O(9)LiCrNiSn tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Ni2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.054
_cell_length_b   6.054
_cell_length_c   9.722
_cell_angle_alpha   89.217
_cell_angle_beta   89.217
_cell_angle_gamma   59.977
_symmetry_Int_Tables_number   1
_cell_volume   308.488
_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  0.672  0.672  0.888  1.0
  Li  Li1  1  0.989  0.989  0.995  1.0
  Li  Li2  1  0.989  0.989  0.502  1.0
  Li  Li3  1  0.337  0.337  0.395  1.0
  Cr  Cr4  1  0.833  0.833  0.213  1.0
  Cr  Cr5  1  0.665  0.171  0.714  1.0
  Cr  Cr6  1  0.171  0.665  0.714  1.0
  Ni  Ni7  1  0.668  0.668  0.490  1.0
  Ni  Ni8  1  0.333  0.333  0.986  1.0
  Sn  Sn9  1  0.833  0.340  0.216  1.0
  Sn  Sn10  1  0.340  0.833  0.216  1.0
  Sn  Sn11  1  0.171  0.171  0.715  1.0
  O  O12  1  0.829  0.316  0.603  1.0
  O  O13  1  0.517  0.517  0.343  1.0
  O  O14  1  0.674  0.674  0.097  1.0
  O  O15  1  0.993  0.993  0.319  1.0
  O  O16  1  0.995  0.995  0.813  1.0
  O  O17  1  0.316  0.829  0.603  1.0
  O  O18  1  0.965  0.534  0.335  1.0
  O  O19  1  0.534  0.965  0.335  1.0
  O  O20  1  0.157  0.157  0.093  1.0
  O  O21  1  0.840  0.840  0.617  1.0
  O  O22  1  0.496  0.040  0.835  1.0
  O  O23  1  0.040  0.496  0.835  1.0
  O  O24  1  0.341  0.341  0.603  1.0
  O  O25  1  0.679  0.144  0.107  1.0
  O  O26  1  0.480  0.480  0.824  1.0
  O  O27  1  0.144  0.679  0.107  1.0
[/CIF]
.
The material described by Li4Cr3Ni2Sn3O16 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 Ni(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-63°. 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 Ni(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. 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 Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. 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 Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(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 50-52°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form NiO6 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 50-57°. In the second Ni site, Ni(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form NiO6 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 48-56°. 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 Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(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 Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. 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(2), one Ni(1), 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 Ni(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 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 OLiCrSn2 tetrahedra that share corners with four equivalent O(6)LiCrNiSn tetrahedra and  a cornercorner with one O(8)LiCr2Ni trigonal pyramid. 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)LiCr2Ni tetrahedra, corners with four equivalent O(9)LiCrNiSn tetrahedra, and  an edgeedge with one O(8)LiCr2Ni trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Ni(1), and one Sn(1) atom to form distorted OLiCrNiSn tetrahedra that share  a cornercorner with one O(6)LiCrNiSn tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(8)LiCr2Ni trigonal pyramid, and  an edgeedge with one O(6)LiCrNiSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ni(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Cr(2), and one Ni(1) atom to form distorted OLiCr2Ni trigonal pyramids that share  a cornercorner with one O(4)LiCrSn2 tetrahedra, corners with two equivalent O(12)LiCr2Ni tetrahedra, corners with two equivalent O(6)LiCrNiSn tetrahedra, corners with two equivalent O(9)LiCrNiSn tetrahedra, and  an edgeedge with one O(5)LiCr2Sn tetrahedra. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Ni(2), and one Sn(2) atom to form distorted OLiCrNiSn tetrahedra that share  a cornercorner with one O(12)LiCr2Ni tetrahedra,  a cornercorner with one O(9)LiCrNiSn tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(8)LiCr2Ni trigonal pyramid,  an edgeedge with one O(12)LiCr2Ni tetrahedra, and  an edgeedge with one O(9)LiCrNiSn tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Cr(2), and one Sn(2) atom. 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 Ni(2), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Ni(2) atom to form distorted OLiCr2Ni tetrahedra that share corners with two equivalent O(5)LiCr2Sn tetrahedra, corners with two equivalent O(9)LiCrNiSn tetrahedra, corners with two equivalent O(8)LiCr2Ni trigonal pyramids, and edges with two equivalent O(9)LiCrNiSn tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Ni2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.054
_cell_length_b   6.054
_cell_length_c   9.722
_cell_angle_alpha   89.217
_cell_angle_beta   89.217
_cell_angle_gamma   59.977
_symmetry_Int_Tables_number   1
_cell_volume   308.488
_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  0.672  0.672  0.888  1.0
  Li  Li1  1  0.989  0.989  0.995  1.0
  Li  Li2  1  0.989  0.989  0.502  1.0
  Li  Li3  1  0.337  0.337  0.395  1.0
  Cr  Cr4  1  0.833  0.833  0.213  1.0
  Cr  Cr5  1  0.665  0.171  0.714  1.0
  Cr  Cr6  1  0.171  0.665  0.714  1.0
  Ni  Ni7  1  0.668  0.668  0.490  1.0
  Ni  Ni8  1  0.333  0.333  0.986  1.0
  Sn  Sn9  1  0.833  0.340  0.216  1.0
  Sn  Sn10  1  0.340  0.833  0.216  1.0
  Sn  Sn11  1  0.171  0.171  0.715  1.0
  O  O12  1  0.829  0.316  0.603  1.0
  O  O13  1  0.517  0.517  0.343  1.0
  O  O14  1  0.674  0.674  0.097  1.0
  O  O15  1  0.993  0.993  0.319  1.0
  O  O16  1  0.995  0.995  0.813  1.0
  O  O17  1  0.316  0.829  0.603  1.0
  O  O18  1  0.965  0.534  0.335  1.0
  O  O19  1  0.534  0.965  0.335  1.0
  O  O20  1  0.157  0.157  0.093  1.0
  O  O21  1  0.840  0.840  0.617  1.0
  O  O22  1  0.496  0.040  0.835  1.0
  O  O23  1  0.040  0.496  0.835  1.0
  O  O24  1  0.341  0.341  0.603  1.0
  O  O25  1  0.679  0.144  0.107  1.0
  O  O26  1  0.480  0.480  0.824  1.0
  O  O27  1  0.144  0.679  0.107  1.0
[/CIF]
.