Li4Co3Sn2Sb3O16 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(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-63°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(4), one O(5), and two equivalent O(12) atoms. In the third Li site, Li(3) is bonded to one O(3), one O(6), and two equivalent O(9) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-66°. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Sb(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(4), one O(6), one O(7), one O(8), and one O(9) atom to form CoO6 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 Co(1)O6 octahedra, edges with two equivalent Sb(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the second Co site, Co(2) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) atoms to form CoO6 octahedra that share corners with two equivalent Sn(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 Sn(1)O6 octahedra, and edges with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form distorted SnO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Sn site, Sn(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form SnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Sb(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SbO6 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 four equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. In the second Sb site, Sb(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) atom to form SbO6 octahedra that share corners with two equivalent Sn(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 Sn(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Sb(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 4-coordinate geometry to one Li(4), one Sn(1), and two equivalent Sb(2) atoms. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(2), and two equivalent Sb(2) atoms. In the third O site, O(3) is bonded to one Li(3), one Co(2), and two equivalent Sb(2) atoms to form distorted corner-sharing OLiCoSb2 tetrahedra. In the fourth O site, O(4) is bonded in a distorted tetrahedral geometry to one Li(2), two equivalent Co(1), and one Sb(1) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Sn(2), and two equivalent Sb(2) atoms. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Co(1), and one Sn(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Co(1), and one Sb(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Co(1), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(1), one Sn(1), and one Sb(1) atom. In the tenth O site, O(10) is bonded to one Li(4), one Co(2), one Sn(1), and one Sb(2) atom to form distorted OLiCoSnSb tetrahedra that share  a cornercorner with one O(10)LiCoSnSb tetrahedra, corners with two equivalent O(3)LiCoSb2 tetrahedra, and  an edgeedge with one O(10)LiCoSnSb tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(1), one Sn(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), one Sn(2), and one Sb(2) atom.
Li4Co3Sn2Sb3O16 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(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-63°. The Li(1)-O(2) bond length is 2.18 Å. The Li(1)-O(8) bond length is 1.95 Å. Both Li(1)-O(11) bond lengths are 2.04 Å. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(4), one O(5), and two equivalent O(12) atoms. The Li(2)-O(4) bond length is 1.80 Å. The Li(2)-O(5) bond length is 2.21 Å. Both Li(2)-O(12) bond lengths are 2.04 Å. In the third Li site, Li(3) is bonded to one O(3), one O(6), and two equivalent O(9) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-66°. The Li(3)-O(3) bond length is 1.86 Å. The Li(3)-O(6) bond length is 1.88 Å. Both Li(3)-O(9) bond lengths are 2.02 Å. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Sb(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. The Li(4)-O(1) bond length is 2.19 Å. The Li(4)-O(7) bond length is 1.97 Å. Both Li(4)-O(10) bond lengths are 2.07 Å. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(4), one O(6), one O(7), one O(8), and one O(9) atom to form CoO6 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 Co(1)O6 octahedra, edges with two equivalent Sb(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. The Co(1)-O(11) bond length is 2.24 Å. The Co(1)-O(4) bond length is 2.07 Å. The Co(1)-O(6) bond length is 2.12 Å. The Co(1)-O(7) bond length is 2.09 Å. The Co(1)-O(8) bond length is 2.11 Å. The Co(1)-O(9) bond length is 2.21 Å. In the second Co site, Co(2) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) atoms to form CoO6 octahedra that share corners with two equivalent Sn(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 Sn(1)O6 octahedra, and edges with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. The Co(2)-O(2) bond length is 2.13 Å. The Co(2)-O(3) bond length is 2.10 Å. Both Co(2)-O(10) bond lengths are 2.15 Å. Both Co(2)-O(12) bond lengths are 2.14 Å. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form distorted SnO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. The Sn(1)-O(1) bond length is 2.37 Å. The Sn(1)-O(6) bond length is 1.99 Å. Both Sn(1)-O(10) bond lengths are 2.23 Å. Both Sn(1)-O(9) bond lengths are 2.10 Å. In the second Sn site, Sn(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form SnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Sb(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. The Sn(2)-O(5) bond length is 2.36 Å. The Sn(2)-O(8) bond length is 2.04 Å. Both Sn(2)-O(11) bond lengths are 2.15 Å. Both Sn(2)-O(12) bond lengths are 2.17 Å. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SbO6 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 four equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. The Sb(1)-O(4) bond length is 1.97 Å. The Sb(1)-O(7) bond length is 1.98 Å. Both Sb(1)-O(11) bond lengths are 2.05 Å. Both Sb(1)-O(9) bond lengths are 2.09 Å. In the second Sb site, Sb(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) atom to form SbO6 octahedra that share corners with two equivalent Sn(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 Sn(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. The Sb(2)-O(1) bond length is 2.10 Å. The Sb(2)-O(10) bond length is 2.03 Å. The Sb(2)-O(12) bond length is 2.07 Å. The Sb(2)-O(2) bond length is 2.06 Å. The Sb(2)-O(3) bond length is 2.06 Å. The Sb(2)-O(5) bond length is 2.10 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(4), one Sn(1), and two equivalent Sb(2) atoms. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(2), and two equivalent Sb(2) atoms. In the third O site, O(3) is bonded to one Li(3), one Co(2), and two equivalent Sb(2) atoms to form distorted corner-sharing OLiCoSb2 tetrahedra. In the fourth O site, O(4) is bonded in a distorted tetrahedral geometry to one Li(2), two equivalent Co(1), and one Sb(1) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Sn(2), and two equivalent Sb(2) atoms. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Co(1), and one Sn(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Co(1), and one Sb(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Co(1), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(1), one Sn(1), and one Sb(1) atom. In the tenth O site, O(10) is bonded to one Li(4), one Co(2), one Sn(1), and one Sb(2) atom to form distorted OLiCoSnSb tetrahedra that share  a cornercorner with one O(10)LiCoSnSb tetrahedra, corners with two equivalent O(3)LiCoSb2 tetrahedra, and  an edgeedge with one O(10)LiCoSnSb tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(1), one Sn(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), one Sn(2), and one Sb(2) atom.