The material described by Li4Cr3Co2Sn3O16 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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. In the third Li site, Li(3) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. 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 Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and edges with two equivalent Sn(2)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(11), one O(13), one O(15), and one O(5) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. There are two inequivalent Co sites. In the first Co site, Co(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 CoO6 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(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 50-57°. In the second Co site, Co(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 CoO6 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,  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 48-55°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(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 54-55°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are sixteen 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 Co(1), and one Sn(3) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Co(1), one Sn(1), and one Sn(2) atom. In the third O site, O(3) is bonded in a 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(7)LiCrCoSn tetrahedra, corners with two equivalent O(8)LiCrCoSn tetrahedra, and  a cornercorner with one O(10)LiCr2Co trigonal pyramid. 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)LiCr2Co tetrahedra, corners with two equivalent O(11)LiCrCoSn tetrahedra, corners with two equivalent O(12)LiCrCoSn tetrahedra, corners with three equivalent O(13)LiCr2Sn trigonal pyramids, and  an edgeedge with one O(10)LiCr2Co trigonal pyramid. 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 Co(1), and one Sn(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Co(1), and one Sn(1) atom to form distorted OLiCrCoSn tetrahedra that share  a cornercorner with one O(8)LiCrCoSn tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(10)LiCr2Co trigonal pyramid,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid, and  an edgeedge with one O(8)LiCrCoSn tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Cr(1), one Co(1), and one Sn(2) atom to form distorted OLiCrCoSn tetrahedra that share  a cornercorner with one O(7)LiCrCoSn tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(10)LiCr2Co trigonal pyramid,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid, and  an edgeedge with one O(7)LiCrCoSn tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), one Sn(1), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(3), one Cr(2), one Cr(3), and one Co(1) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(11)LiCrCoSn tetrahedra,  a cornercorner with one O(12)LiCrCoSn tetrahedra,  a cornercorner with one O(7)LiCrCoSn tetrahedra,  a cornercorner with one O(8)LiCrCoSn tetrahedra,  a cornercorner with one O(4)LiCrSn2 tetrahedra, corners with two equivalent O(15)LiCr2Co tetrahedra, corners with two equivalent O(13)LiCr2Sn trigonal pyramids, and  an edgeedge with one O(5)LiCr2Sn tetrahedra. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(2), one Co(2), and one Sn(3) atom to form distorted OLiCrCoSn tetrahedra that share  a cornercorner with one O(15)LiCr2Co tetrahedra,  a cornercorner with one O(12)LiCrCoSn tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(10)LiCr2Co trigonal pyramid,  an edgeedge with one O(15)LiCr2Co tetrahedra,  an edgeedge with one O(12)LiCrCoSn tetrahedra, and  an edgeedge with one O(13)LiCr2Sn trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(3), one Co(2), and one Sn(3) atom to form distorted OLiCrCoSn tetrahedra that share  a cornercorner with one O(15)LiCr2Co tetrahedra,  a cornercorner with one O(11)LiCrCoSn tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(10)LiCr2Co trigonal pyramid,  an edgeedge with one O(15)LiCr2Co tetrahedra,  an edgeedge with one O(11)LiCrCoSn tetrahedra, and  an edgeedge with one O(13)LiCr2Sn trigonal pyramid. 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(7)LiCrCoSn tetrahedra,  a cornercorner with one O(8)LiCrCoSn tetrahedra, corners with three equivalent O(5)LiCr2Sn tetrahedra, corners with two equivalent O(10)LiCr2Co trigonal pyramids,  an edgeedge with one O(15)LiCr2Co tetrahedra,  an edgeedge with one O(11)LiCrCoSn tetrahedra, and  an edgeedge with one O(12)LiCrCoSn 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 Co(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 Co(2) atom to form distorted OLiCr2Co tetrahedra that share  a cornercorner with one O(11)LiCrCoSn tetrahedra,  a cornercorner with one O(12)LiCrCoSn tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra, corners with two equivalent O(10)LiCr2Co trigonal pyramids,  an edgeedge with one O(11)LiCrCoSn tetrahedra,  an edgeedge with one O(12)LiCrCoSn tetrahedra, and  an edgeedge with one O(13)LiCr2Sn trigonal pyramid. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(2), and one Sn(2) atom. is represented by the CIF file [CIF]
data_Li4Cr3Co2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.102
_cell_length_b   6.075
_cell_length_c   9.678
_cell_angle_alpha   89.852
_cell_angle_beta   90.027
_cell_angle_gamma   119.908
_symmetry_Int_Tables_number   1
_cell_volume   311.019
_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  0.348  0.674  0.890  1.0
  Li  Li1  1  0.966  0.983  0.992  1.0
  Li  Li2  1  0.974  0.989  0.501  1.0
  Li  Li3  1  0.676  0.337  0.398  1.0
  Cr  Cr4  1  0.661  0.831  0.216  1.0
  Cr  Cr5  1  0.833  0.663  0.711  1.0
  Cr  Cr6  1  0.833  0.176  0.714  1.0
  Co  Co7  1  0.334  0.664  0.495  1.0
  Co  Co8  1  0.672  0.337  0.988  1.0
  Sn  Sn9  1  0.171  0.832  0.214  1.0
  Sn  Sn10  1  0.172  0.339  0.213  1.0
  Sn  Sn11  1  0.339  0.171  0.714  1.0
  O  O12  1  0.146  0.827  0.600  1.0
  O  O13  1  0.040  0.518  0.346  1.0
  O  O14  1  0.348  0.675  0.098  1.0
  O  O15  1  0.988  0.993  0.318  1.0
  O  O16  1  0.988  0.995  0.810  1.0
  O  O17  1  0.148  0.321  0.599  1.0
  O  O18  1  0.498  0.963  0.337  1.0
  O  O19  1  0.498  0.530  0.336  1.0
  O  O20  1  0.318  0.159  0.090  1.0
  O  O21  1  0.675  0.834  0.616  1.0
  O  O22  1  0.541  0.494  0.839  1.0
  O  O23  1  0.539  0.045  0.838  1.0
  O  O24  1  0.678  0.340  0.603  1.0
  O  O25  1  0.826  0.674  0.103  1.0
  O  O26  1  0.964  0.482  0.825  1.0
  O  O27  1  0.826  0.153  0.102  1.0
[/CIF]
.
The material described by Li4Cr3Co2Sn3O16 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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. In the third Li site, Li(3) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. 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 Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and edges with two equivalent Sn(2)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(11), one O(13), one O(15), and one O(5) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. There are two inequivalent Co sites. In the first Co site, Co(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 CoO6 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(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 50-57°. In the second Co site, Co(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 CoO6 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,  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 48-55°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(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 54-55°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are sixteen 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 Co(1), and one Sn(3) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Co(1), one Sn(1), and one Sn(2) atom. In the third O site, O(3) is bonded in a 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(7)LiCrCoSn tetrahedra, corners with two equivalent O(8)LiCrCoSn tetrahedra, and  a cornercorner with one O(10)LiCr2Co trigonal pyramid. 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)LiCr2Co tetrahedra, corners with two equivalent O(11)LiCrCoSn tetrahedra, corners with two equivalent O(12)LiCrCoSn tetrahedra, corners with three equivalent O(13)LiCr2Sn trigonal pyramids, and  an edgeedge with one O(10)LiCr2Co trigonal pyramid. 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 Co(1), and one Sn(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Co(1), and one Sn(1) atom to form distorted OLiCrCoSn tetrahedra that share  a cornercorner with one O(8)LiCrCoSn tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(10)LiCr2Co trigonal pyramid,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid, and  an edgeedge with one O(8)LiCrCoSn tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Cr(1), one Co(1), and one Sn(2) atom to form distorted OLiCrCoSn tetrahedra that share  a cornercorner with one O(7)LiCrCoSn tetrahedra, corners with two equivalent O(4)LiCrSn2 tetrahedra,  a cornercorner with one O(10)LiCr2Co trigonal pyramid,  a cornercorner with one O(13)LiCr2Sn trigonal pyramid, and  an edgeedge with one O(7)LiCrCoSn tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), one Sn(1), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(3), one Cr(2), one Cr(3), and one Co(1) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(11)LiCrCoSn tetrahedra,  a cornercorner with one O(12)LiCrCoSn tetrahedra,  a cornercorner with one O(7)LiCrCoSn tetrahedra,  a cornercorner with one O(8)LiCrCoSn tetrahedra,  a cornercorner with one O(4)LiCrSn2 tetrahedra, corners with two equivalent O(15)LiCr2Co tetrahedra, corners with two equivalent O(13)LiCr2Sn trigonal pyramids, and  an edgeedge with one O(5)LiCr2Sn tetrahedra. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(2), one Co(2), and one Sn(3) atom to form distorted OLiCrCoSn tetrahedra that share  a cornercorner with one O(15)LiCr2Co tetrahedra,  a cornercorner with one O(12)LiCrCoSn tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(10)LiCr2Co trigonal pyramid,  an edgeedge with one O(15)LiCr2Co tetrahedra,  an edgeedge with one O(12)LiCrCoSn tetrahedra, and  an edgeedge with one O(13)LiCr2Sn trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(3), one Co(2), and one Sn(3) atom to form distorted OLiCrCoSn tetrahedra that share  a cornercorner with one O(15)LiCr2Co tetrahedra,  a cornercorner with one O(11)LiCrCoSn tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra,  a cornercorner with one O(10)LiCr2Co trigonal pyramid,  an edgeedge with one O(15)LiCr2Co tetrahedra,  an edgeedge with one O(11)LiCrCoSn tetrahedra, and  an edgeedge with one O(13)LiCr2Sn trigonal pyramid. 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(7)LiCrCoSn tetrahedra,  a cornercorner with one O(8)LiCrCoSn tetrahedra, corners with three equivalent O(5)LiCr2Sn tetrahedra, corners with two equivalent O(10)LiCr2Co trigonal pyramids,  an edgeedge with one O(15)LiCr2Co tetrahedra,  an edgeedge with one O(11)LiCrCoSn tetrahedra, and  an edgeedge with one O(12)LiCrCoSn 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 Co(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 Co(2) atom to form distorted OLiCr2Co tetrahedra that share  a cornercorner with one O(11)LiCrCoSn tetrahedra,  a cornercorner with one O(12)LiCrCoSn tetrahedra, corners with two equivalent O(5)LiCr2Sn tetrahedra, corners with two equivalent O(10)LiCr2Co trigonal pyramids,  an edgeedge with one O(11)LiCrCoSn tetrahedra,  an edgeedge with one O(12)LiCrCoSn tetrahedra, and  an edgeedge with one O(13)LiCr2Sn trigonal pyramid. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(2), and one Sn(2) atom. is represented by the CIF file [CIF]
data_Li4Cr3Co2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.102
_cell_length_b   6.075
_cell_length_c   9.678
_cell_angle_alpha   89.852
_cell_angle_beta   90.027
_cell_angle_gamma   119.908
_symmetry_Int_Tables_number   1
_cell_volume   311.019
_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  0.348  0.674  0.890  1.0
  Li  Li1  1  0.966  0.983  0.992  1.0
  Li  Li2  1  0.974  0.989  0.501  1.0
  Li  Li3  1  0.676  0.337  0.398  1.0
  Cr  Cr4  1  0.661  0.831  0.216  1.0
  Cr  Cr5  1  0.833  0.663  0.711  1.0
  Cr  Cr6  1  0.833  0.176  0.714  1.0
  Co  Co7  1  0.334  0.664  0.495  1.0
  Co  Co8  1  0.672  0.337  0.988  1.0
  Sn  Sn9  1  0.171  0.832  0.214  1.0
  Sn  Sn10  1  0.172  0.339  0.213  1.0
  Sn  Sn11  1  0.339  0.171  0.714  1.0
  O  O12  1  0.146  0.827  0.600  1.0
  O  O13  1  0.040  0.518  0.346  1.0
  O  O14  1  0.348  0.675  0.098  1.0
  O  O15  1  0.988  0.993  0.318  1.0
  O  O16  1  0.988  0.995  0.810  1.0
  O  O17  1  0.148  0.321  0.599  1.0
  O  O18  1  0.498  0.963  0.337  1.0
  O  O19  1  0.498  0.530  0.336  1.0
  O  O20  1  0.318  0.159  0.090  1.0
  O  O21  1  0.675  0.834  0.616  1.0
  O  O22  1  0.541  0.494  0.839  1.0
  O  O23  1  0.539  0.045  0.838  1.0
  O  O24  1  0.678  0.340  0.603  1.0
  O  O25  1  0.826  0.674  0.103  1.0
  O  O26  1  0.964  0.482  0.825  1.0
  O  O27  1  0.826  0.153  0.102  1.0
[/CIF]
.