Li4Ti3Co2Sn3O16 is Hausmannite-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(13), one O(14), one O(2), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, and corners with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-68°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(15), one O(16), one O(4), and one O(5) atom. In the third Li site, Li(3) is bonded to one O(10), one O(3), one O(6), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. In the fourth Li site, Li(4) is bonded to one O(1), one O(11), one O(12), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Sn(2)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 57-64°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(12), one O(15), one O(16), one O(2), and one O(3) atom to form TiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and edges with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Ti site, Ti(2) is bonded to one O(10), one O(14), one O(4), one O(6), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 46-50°. In the third Ti site, Ti(3) is bonded in a 5-coordinate geometry to one O(13), one O(4), one O(6), one O(7), one O(8), and one O(9) atom. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(13), one O(14), one O(15), one O(16), one O(5), and one O(8) atom to form distorted CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-58°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(11), one O(12), one O(6), and one O(9) atom to form distorted CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(10), one O(13), one O(14), 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(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-57°. In the second Sn site, Sn(2) is bonded to one O(1), one O(11), one O(15), one O(2), one O(3), and one O(5) atom to form SnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. In the third Sn site, Sn(3) is bonded to one O(1), one O(12), one O(16), one O(2), one O(3), and one O(5) atom to form SnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-57°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one Co(2), one Sn(2), and one Sn(3) atom to form distorted corner-sharing OLiCoSn2 tetrahedra. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(1), one Sn(2), and one Sn(3) atom. In the third O site, O(3) is bonded to one Li(3), one Ti(1), one Sn(2), and one Sn(3) atom to form distorted corner-sharing OLiTiSn2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(2), one Ti(2), one Ti(3), and one Sn(1) atom to form distorted corner-sharing OLiTi2Sn tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Sn(2), and one Sn(3) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(3), one Ti(2), one Ti(3), and one Co(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(2), one Ti(3), and one Sn(1) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(1), one Ti(2), one Ti(3), and one Co(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(3), one Co(2), and one Sn(1) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(2), one Co(2), and one Sn(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(4), one Ti(1), one Co(2), and one Sn(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(4), one Ti(1), one Co(2), and one Sn(3) atom. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(3), one Co(1), and one Sn(1) atom. In the fourteenth O site, O(14) is bonded to one Li(1), one Ti(2), one Co(1), and one Sn(1) atom to form distorted corner-sharing OLiTiCoSn tetrahedra. In the fifteenth O site, O(15) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Co(1), and one Sn(2) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Co(1), and one Sn(3) atom.
Li4Ti3Co2Sn3O16 is Hausmannite-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(13), one O(14), one O(2), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, and corners with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-68°. The Li(1)-O(13) bond length is 2.01 Å. The Li(1)-O(14) bond length is 2.04 Å. The Li(1)-O(2) bond length is 2.04 Å. The Li(1)-O(8) bond length is 2.03 Å. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(15), one O(16), one O(4), and one O(5) atom. The Li(2)-O(15) bond length is 1.95 Å. The Li(2)-O(16) bond length is 1.93 Å. The Li(2)-O(4) bond length is 1.81 Å. The Li(2)-O(5) bond length is 2.09 Å. In the third Li site, Li(3) is bonded to one O(10), one O(3), one O(6), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. The Li(3)-O(10) bond length is 2.01 Å. The Li(3)-O(3) bond length is 1.81 Å. The Li(3)-O(6) bond length is 1.96 Å. The Li(3)-O(9) bond length is 1.95 Å. In the fourth Li site, Li(4) is bonded to one O(1), one O(11), one O(12), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Sn(2)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 57-64°. The Li(4)-O(1) bond length is 2.00 Å. The Li(4)-O(11) bond length is 2.07 Å. The Li(4)-O(12) bond length is 2.07 Å. The Li(4)-O(7) bond length is 2.10 Å. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(12), one O(15), one O(16), one O(2), and one O(3) atom to form TiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and edges with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. The Ti(1)-O(11) bond length is 1.92 Å. The Ti(1)-O(12) bond length is 1.93 Å. The Ti(1)-O(15) bond length is 2.09 Å. The Ti(1)-O(16) bond length is 2.06 Å. The Ti(1)-O(2) bond length is 2.07 Å. The Ti(1)-O(3) bond length is 1.98 Å. In the second Ti site, Ti(2) is bonded to one O(10), one O(14), one O(4), one O(6), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 46-50°. The Ti(2)-O(10) bond length is 2.06 Å. The Ti(2)-O(14) bond length is 1.94 Å. The Ti(2)-O(4) bond length is 2.00 Å. The Ti(2)-O(6) bond length is 1.79 Å. The Ti(2)-O(7) bond length is 2.05 Å. The Ti(2)-O(8) bond length is 2.37 Å. In the third Ti site, Ti(3) is bonded in a 5-coordinate geometry to one O(13), one O(4), one O(6), one O(7), one O(8), and one O(9) atom. The Ti(3)-O(13) bond length is 2.00 Å. The Ti(3)-O(4) bond length is 2.03 Å. The Ti(3)-O(6) bond length is 2.60 Å. The Ti(3)-O(7) bond length is 2.00 Å. The Ti(3)-O(8) bond length is 1.77 Å. The Ti(3)-O(9) bond length is 1.98 Å. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(13), one O(14), one O(15), one O(16), one O(5), and one O(8) atom to form distorted CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-58°. The Co(1)-O(13) bond length is 2.28 Å. The Co(1)-O(14) bond length is 2.26 Å. The Co(1)-O(15) bond length is 2.11 Å. The Co(1)-O(16) bond length is 2.12 Å. The Co(1)-O(5) bond length is 2.13 Å. The Co(1)-O(8) bond length is 2.35 Å. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(11), one O(12), one O(6), and one O(9) atom to form distorted CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. The Co(2)-O(1) bond length is 2.20 Å. The Co(2)-O(10) bond length is 2.12 Å. The Co(2)-O(11) bond length is 2.33 Å. The Co(2)-O(12) bond length is 2.33 Å. The Co(2)-O(6) bond length is 2.08 Å. The Co(2)-O(9) bond length is 2.13 Å. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(10), one O(13), one O(14), 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(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-57°. The Sn(1)-O(10) bond length is 2.08 Å. The Sn(1)-O(13) bond length is 2.06 Å. The Sn(1)-O(14) bond length is 2.12 Å. The Sn(1)-O(4) bond length is 2.12 Å. The Sn(1)-O(7) bond length is 2.14 Å. The Sn(1)-O(9) bond length is 2.13 Å. In the second Sn site, Sn(2) is bonded to one O(1), one O(11), one O(15), one O(2), one O(3), and one O(5) atom to form SnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. The Sn(2)-O(1) bond length is 2.08 Å. The Sn(2)-O(11) bond length is 2.11 Å. The Sn(2)-O(15) bond length is 2.08 Å. The Sn(2)-O(2) bond length is 2.11 Å. The Sn(2)-O(3) bond length is 2.11 Å. The Sn(2)-O(5) bond length is 2.08 Å. In the third Sn site, Sn(3) is bonded to one O(1), one O(12), one O(16), one O(2), one O(3), and one O(5) atom to form SnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-57°. The Sn(3)-O(1) bond length is 2.09 Å. The Sn(3)-O(12) bond length is 2.11 Å. The Sn(3)-O(16) bond length is 2.09 Å. The Sn(3)-O(2) bond length is 2.11 Å. The Sn(3)-O(3) bond length is 2.11 Å. The Sn(3)-O(5) bond length is 2.08 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one Co(2), one Sn(2), and one Sn(3) atom to form distorted corner-sharing OLiCoSn2 tetrahedra. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(1), one Sn(2), and one Sn(3) atom. In the third O site, O(3) is bonded to one Li(3), one Ti(1), one Sn(2), and one Sn(3) atom to form distorted corner-sharing OLiTiSn2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(2), one Ti(2), one Ti(3), and one Sn(1) atom to form distorted corner-sharing OLiTi2Sn tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Sn(2), and one Sn(3) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(3), one Ti(2), one Ti(3), and one Co(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(2), one Ti(3), and one Sn(1) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(1), one Ti(2), one Ti(3), and one Co(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(3), one Co(2), and one Sn(1) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(2), one Co(2), and one Sn(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(4), one Ti(1), one Co(2), and one Sn(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(4), one Ti(1), one Co(2), and one Sn(3) atom. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(3), one Co(1), and one Sn(1) atom. In the fourteenth O site, O(14) is bonded to one Li(1), one Ti(2), one Co(1), and one Sn(1) atom to form distorted corner-sharing OLiTiCoSn tetrahedra. In the fifteenth O site, O(15) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Co(1), and one Sn(2) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Co(1), and one Sn(3) atom.