Li4Ti2Co3Sn3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. There are eight inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(15), one O(25), one O(28), and one O(4) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, and corners with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. In the second Li site, Li(2) is bonded to one O(16), one O(26), one O(27), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, and corners with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-65°. In the third Li site, Li(3) is bonded to one O(30), one O(31), one O(7), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and  an edgeedge with one Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-66°. In the fourth Li site, Li(4) is bonded to one O(10), one O(29), one O(32), and one O(8) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, and  an edgeedge with one Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-66°. In the fifth Li site, Li(5) is bonded to one O(11), one O(17), one O(20), and one O(5) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. In the sixth Li site, Li(6) is bonded to one O(12), one O(18), one O(19), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. In the seventh Li site, Li(7) is bonded to one O(1), one O(13), one O(22), and one O(23) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, and corners with two equivalent Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. In the eighth Li site, Li(8) is bonded to one O(14), one O(2), one O(21), and one O(24) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, and corners with two equivalent Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(11), one O(17), one O(19), one O(21), and one O(23) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Li(7)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, and  an edgeedge with one Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-59°. In the second Ti site, Ti(2) is bonded to one O(12), one O(18), one O(2), one O(20), one O(22), and one O(24) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra, corners with two equivalent Li(8)O4 tetrahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and  an edgeedge with one Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-58°. In the third Ti site, Ti(3) is bonded to one O(10), one O(15), one O(25), one O(27), one O(30), and one O(32) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra, corners with two equivalent Sn(6)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid, corners with two equivalent Li(4)O4 trigonal pyramids,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-55°. In the fourth Ti site, Ti(4) is bonded to one O(16), one O(26), one O(28), one O(29), one O(31), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra, corners with two equivalent Sn(5)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid, corners with two equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(21), one O(23), one O(29), one O(3), one O(32), and one O(5) atom to form CoO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(5)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 45-46°. In the second Co site, Co(2) is bonded to one O(11), one O(13), one O(15), one O(17), one O(25), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 42-50°. In the third Co site, Co(3) is bonded to one O(12), one O(13), one O(15), one O(19), one O(27), and one O(8) atom to form distorted CoO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the fourth Co site, Co(4) is bonded to one O(22), one O(24), one O(30), one O(31), one O(4), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, edges with two equivalent Sn(4)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 46-47°. In the fifth Co site, Co(5) is bonded to one O(12), one O(14), one O(16), one O(18), one O(26), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 43-49°. In the sixth Co site, Co(6) is bonded to one O(11), one O(14), one O(16), one O(20), one O(28), and one O(7) atom to form distorted CoO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-54°. There are six inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(13), one O(18), one O(19), one O(25), one O(27), and one O(8) atom to form SnO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-59°. In the second Sn site, Sn(2) is bonded to one O(14), one O(17), one O(20), one O(26), one O(28), and one O(7) atom to form SnO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-58°. In the third Sn site, Sn(3) is bonded to one O(1), one O(10), one O(21), one O(29), one O(3), and one O(5) atom to form SnO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(5)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. In the fourth Sn site, Sn(4) is bonded to one O(2), one O(22), one O(30), one O(4), one O(6), and one O(9) atom to form SnO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. In the fifth Sn site, Sn(5) is bonded to one O(1), one O(23), one O(3), one O(31), one O(6), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Ti(4)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(7)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-56°. In the sixth Sn site, Sn(6) is bonded to one O(10), one O(2), one O(24), one O(32), one O(4), and one O(5) atom to form SnO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(5)O4 tetrahedra, corners with two equivalent Li(8)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-55°. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(7), one Ti(1), one Sn(3), and one Sn(5) atom. In the second O site, O(2) is bonded to one Li(8), one Ti(2), one Sn(4), and one Sn(6) atom to form distorted OLiTiSn2 trigonal pyramids that share  a cornercorner with one O(5)LiCoSn2 tetrahedra,  a cornercorner with one O(6)LiCoSn2 tetrahedra,  a cornercorner with one O(21)LiTiCoSn trigonal pyramid,  a cornercorner with one O(24)LiTiCoSn trigonal pyramid,  an edgeedge with one O(22)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(24)LiTiCoSn trigonal pyramid. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Co(1), one Sn(3), and one Sn(5) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(4), one Sn(4), and one Sn(6) atom. In the fifth O site, O(5) is bonded to one Li(5), one Co(1), one Sn(3), and one Sn(6) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(23)LiTiCoSn trigonal pyramid,  a cornercorner with one O(24)LiTiCoSn trigonal pyramid,  a cornercorner with one O(2)LiTiSn2 trigonal pyramid, and corners with two equivalent O(21)LiTiCoSn trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(6), one Co(4), one Sn(4), and one Sn(5) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(23)LiTiCoSn trigonal pyramid,  a cornercorner with one O(24)LiTiCoSn trigonal pyramid,  a cornercorner with one O(2)LiTiSn2 trigonal pyramid, and corners with two equivalent O(22)LiTiCoSn trigonal pyramids. In the seventh O site, O(7) is bonded to one Li(3), one Co(2), one Co(6), and one Sn(2) atom to form OLiCo2Sn tetrahedra that share  a cornercorner with one O(15)LiTiCo2 trigonal pyramid,  a cornercorner with one O(25)LiTiCoSn trigonal pyramid, and  a cornercorner with one O(26)LiTiCoSn trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Co(3), one Co(5), and one Sn(1) atom to form OLiCo2Sn tetrahedra that share  a cornercorner with one O(15)LiTiCo2 trigonal pyramid,  a cornercorner with one O(25)LiTiCoSn trigonal pyramid, and  a cornercorner with one O(26)LiTiCoSn trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(4), one Sn(4), and one Sn(5) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(3), one Sn(3), and one Sn(6) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(5), one Ti(1), one Co(2), and one Co(6) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(6), one Ti(2), one Co(3), and one Co(5) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(7), one Co(2), one Co(3), and one Sn(1) atom. In the fourteenth O site, O(14) is bonded in a distorted rectangular see-saw-like geometry to one Li(8), one Co(5), one Co(6), and one Sn(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(3), one Co(2), and one Co(3) atom to form distorted OLiTiCo2 trigonal pyramids that share  a cornercorner with one O(7)LiCo2Sn tetrahedra,  a cornercorner with one O(8)LiCo2Sn tetrahedra,  a cornercorner with one O(25)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(25)LiTiCoSn trigonal pyramid. In the sixteenth O site, O(16) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Ti(4), one Co(5), and one Co(6) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(5), one Ti(1), one Co(2), and one Sn(2) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Li(6), one Ti(2), one Co(5), and one Sn(1) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Li(6), one Ti(1), one Co(3), and one Sn(1) atom. In the twentieth O site, O(20) is bonded in a rectangular see-saw-like geometry to one Li(5), one Ti(2), one Co(6), and one Sn(2) atom. In the twenty-first O site, O(21) is bonded to one Li(8), one Ti(1), one Co(1), and one Sn(3) atom to form distorted OLiTiCoSn trigonal pyramids that share corners with two equivalent O(5)LiCoSn2 tetrahedra,  a cornercorner with one O(24)LiTiCoSn trigonal pyramid,  a cornercorner with one O(2)LiTiSn2 trigonal pyramid, and  an edgeedge with one O(23)LiTiCoSn trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Li(7), one Ti(2), one Co(4), and one Sn(4) atom to form distorted OLiTiCoSn trigonal pyramids that share corners with two equivalent O(6)LiCoSn2 tetrahedra,  a cornercorner with one O(23)LiTiCoSn trigonal pyramid,  an edgeedge with one O(24)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(2)LiTiSn2 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Li(7), one Ti(1), one Co(1), and one Sn(5) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(5)LiCoSn2 tetrahedra,  a cornercorner with one O(6)LiCoSn2 tetrahedra,  a cornercorner with one O(22)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(21)LiTiCoSn trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Li(8), one Ti(2), one Co(4), and one Sn(6) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(5)LiCoSn2 tetrahedra,  a cornercorner with one O(6)LiCoSn2 tetrahedra,  a cornercorner with one O(21)LiTiCoSn trigonal pyramid,  a cornercorner with one O(2)LiTiSn2 trigonal pyramid,  an edgeedge with one O(22)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(2)LiTiSn2 trigonal pyramid. In the twenty-fifth O site, O(25) is bonded to one Li(1), one Ti(3), one Co(2), and one Sn(1) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(7)LiCo2Sn tetrahedra,  a cornercorner with one O(8)LiCo2Sn tetrahedra,  a cornercorner with one O(15)LiTiCo2 trigonal pyramid, and  an edgeedge with one O(15)LiTiCo2 trigonal pyramid. In the twenty-sixth O site, O(26) is bonded to one Li(2), one Ti(4), one Co(5), and one Sn(2) atom to form distorted corner-sharing OLiTiCoSn trigonal pyramids. In the twenty-seventh O site, O(27) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Ti(3), one Co(3), and one Sn(1) atom. In the twenty-eighth O site, O(28) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(4), one Co(6), and one Sn(2) atom. In the twenty-ninth O site, O(29) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(4), one Co(1), and one Sn(3) atom. In the thirtieth O site, O(30) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Co(4), and one Sn(4) atom. In the thirty-first O site, O(31) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(4), one Co(4), and one Sn(5) atom. In the thirty-second O site, O(32) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(3), one Co(1), and one Sn(6) atom.
Li4Ti2Co3Sn3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. There are eight inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(15), one O(25), one O(28), and one O(4) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, and corners with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. The Li(1)-O(15) bond length is 2.07 Å. The Li(1)-O(25) bond length is 2.00 Å. The Li(1)-O(28) bond length is 2.03 Å. The Li(1)-O(4) bond length is 2.00 Å. In the second Li site, Li(2) is bonded to one O(16), one O(26), one O(27), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, and corners with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-65°. The Li(2)-O(16) bond length is 2.06 Å. The Li(2)-O(26) bond length is 2.01 Å. The Li(2)-O(27) bond length is 2.01 Å. The Li(2)-O(3) bond length is 2.02 Å. In the third Li site, Li(3) is bonded to one O(30), one O(31), one O(7), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and  an edgeedge with one Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-66°. The Li(3)-O(30) bond length is 2.01 Å. The Li(3)-O(31) bond length is 1.97 Å. The Li(3)-O(7) bond length is 1.81 Å. The Li(3)-O(9) bond length is 2.14 Å. In the fourth Li site, Li(4) is bonded to one O(10), one O(29), one O(32), and one O(8) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, and  an edgeedge with one Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-66°. The Li(4)-O(10) bond length is 2.17 Å. The Li(4)-O(29) bond length is 1.99 Å. The Li(4)-O(32) bond length is 1.96 Å. The Li(4)-O(8) bond length is 1.81 Å. In the fifth Li site, Li(5) is bonded to one O(11), one O(17), one O(20), and one O(5) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. The Li(5)-O(11) bond length is 1.95 Å. The Li(5)-O(17) bond length is 2.04 Å. The Li(5)-O(20) bond length is 2.06 Å. The Li(5)-O(5) bond length is 1.82 Å. In the sixth Li site, Li(6) is bonded to one O(12), one O(18), one O(19), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. The Li(6)-O(12) bond length is 1.95 Å. The Li(6)-O(18) bond length is 2.04 Å. The Li(6)-O(19) bond length is 2.05 Å. The Li(6)-O(6) bond length is 1.81 Å. In the seventh Li site, Li(7) is bonded to one O(1), one O(13), one O(22), and one O(23) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, and corners with two equivalent Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. The Li(7)-O(1) bond length is 1.96 Å. The Li(7)-O(13) bond length is 1.99 Å. The Li(7)-O(22) bond length is 2.07 Å. The Li(7)-O(23) bond length is 2.02 Å. In the eighth Li site, Li(8) is bonded to one O(14), one O(2), one O(21), and one O(24) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, and corners with two equivalent Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. The Li(8)-O(14) bond length is 2.00 Å. The Li(8)-O(2) bond length is 1.95 Å. The Li(8)-O(21) bond length is 2.06 Å. The Li(8)-O(24) bond length is 2.03 Å. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(11), one O(17), one O(19), one O(21), and one O(23) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Li(7)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, and  an edgeedge with one Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-59°. The Ti(1)-O(1) bond length is 2.30 Å. The Ti(1)-O(11) bond length is 1.82 Å. The Ti(1)-O(17) bond length is 2.06 Å. The Ti(1)-O(19) bond length is 2.13 Å. The Ti(1)-O(21) bond length is 1.99 Å. The Ti(1)-O(23) bond length is 2.01 Å. In the second Ti site, Ti(2) is bonded to one O(12), one O(18), one O(2), one O(20), one O(22), and one O(24) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra, corners with two equivalent Li(8)O4 tetrahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and  an edgeedge with one Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-58°. The Ti(2)-O(12) bond length is 1.82 Å. The Ti(2)-O(18) bond length is 2.07 Å. The Ti(2)-O(2) bond length is 2.29 Å. The Ti(2)-O(20) bond length is 2.11 Å. The Ti(2)-O(22) bond length is 1.99 Å. The Ti(2)-O(24) bond length is 2.03 Å. In the third Ti site, Ti(3) is bonded to one O(10), one O(15), one O(25), one O(27), one O(30), and one O(32) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra, corners with two equivalent Sn(6)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid, corners with two equivalent Li(4)O4 trigonal pyramids,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-55°. The Ti(3)-O(10) bond length is 2.14 Å. The Ti(3)-O(15) bond length is 1.94 Å. The Ti(3)-O(25) bond length is 2.07 Å. The Ti(3)-O(27) bond length is 2.26 Å. The Ti(3)-O(30) bond length is 1.89 Å. The Ti(3)-O(32) bond length is 1.92 Å. In the fourth Ti site, Ti(4) is bonded to one O(16), one O(26), one O(28), one O(29), one O(31), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra, corners with two equivalent Sn(5)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid, corners with two equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. The Ti(4)-O(16) bond length is 1.89 Å. The Ti(4)-O(26) bond length is 2.13 Å. The Ti(4)-O(28) bond length is 2.24 Å. The Ti(4)-O(29) bond length is 1.91 Å. The Ti(4)-O(31) bond length is 1.91 Å. The Ti(4)-O(9) bond length is 2.19 Å. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(21), one O(23), one O(29), one O(3), one O(32), and one O(5) atom to form CoO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(5)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 45-46°. The Co(1)-O(21) bond length is 2.14 Å. The Co(1)-O(23) bond length is 2.17 Å. The Co(1)-O(29) bond length is 2.16 Å. The Co(1)-O(3) bond length is 1.98 Å. The Co(1)-O(32) bond length is 2.20 Å. The Co(1)-O(5) bond length is 1.95 Å. In the second Co site, Co(2) is bonded to one O(11), one O(13), one O(15), one O(17), one O(25), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 42-50°. The Co(2)-O(11) bond length is 2.14 Å. The Co(2)-O(13) bond length is 2.02 Å. The Co(2)-O(15) bond length is 1.94 Å. The Co(2)-O(17) bond length is 2.06 Å. The Co(2)-O(25) bond length is 2.06 Å. The Co(2)-O(7) bond length is 2.02 Å. In the third Co site, Co(3) is bonded to one O(12), one O(13), one O(15), one O(19), one O(27), and one O(8) atom to form distorted CoO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-53°. The Co(3)-O(12) bond length is 2.34 Å. The Co(3)-O(13) bond length is 1.92 Å. The Co(3)-O(15) bond length is 2.20 Å. The Co(3)-O(19) bond length is 1.95 Å. The Co(3)-O(27) bond length is 1.93 Å. The Co(3)-O(8) bond length is 1.91 Å. In the fourth Co site, Co(4) is bonded to one O(22), one O(24), one O(30), one O(31), one O(4), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, edges with two equivalent Sn(4)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 46-47°. The Co(4)-O(22) bond length is 2.12 Å. The Co(4)-O(24) bond length is 2.15 Å. The Co(4)-O(30) bond length is 2.18 Å. The Co(4)-O(31) bond length is 2.23 Å. The Co(4)-O(4) bond length is 2.05 Å. The Co(4)-O(6) bond length is 2.00 Å. In the fifth Co site, Co(5) is bonded to one O(12), one O(14), one O(16), one O(18), one O(26), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 43-49°. The Co(5)-O(12) bond length is 2.13 Å. The Co(5)-O(14) bond length is 2.02 Å. The Co(5)-O(16) bond length is 2.04 Å. The Co(5)-O(18) bond length is 2.04 Å. The Co(5)-O(26) bond length is 1.98 Å. The Co(5)-O(8) bond length is 2.01 Å. In the sixth Co site, Co(6) is bonded to one O(11), one O(14), one O(16), one O(20), one O(28), and one O(7) atom to form distorted CoO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-54°. The Co(6)-O(11) bond length is 2.36 Å. The Co(6)-O(14) bond length is 1.91 Å. The Co(6)-O(16) bond length is 2.17 Å. The Co(6)-O(20) bond length is 1.95 Å. The Co(6)-O(28) bond length is 1.93 Å. The Co(6)-O(7) bond length is 1.91 Å. There are six inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(13), one O(18), one O(19), one O(25), one O(27), and one O(8) atom to form SnO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-59°. The Sn(1)-O(13) bond length is 2.06 Å. The Sn(1)-O(18) bond length is 2.16 Å. The Sn(1)-O(19) bond length is 2.15 Å. The Sn(1)-O(25) bond length is 2.10 Å. The Sn(1)-O(27) bond length is 2.10 Å. The Sn(1)-O(8) bond length is 2.06 Å. In the second Sn site, Sn(2) is bonded to one O(14), one O(17), one O(20), one O(26), one O(28), and one O(7) atom to form SnO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-58°. The Sn(2)-O(14) bond length is 2.07 Å. The Sn(2)-O(17) bond length is 2.14 Å. The Sn(2)-O(20) bond length is 2.15 Å. The Sn(2)-O(26) bond length is 2.13 Å. The Sn(2)-O(28) bond length is 2.10 Å. The Sn(2)-O(7) bond length is 2.06 Å. In the third Sn site, Sn(3) is bonded to one O(1), one O(10), one O(21), one O(29), one O(3), and one O(5) atom to form SnO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(5)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. The Sn(3)-O(1) bond length is 2.08 Å. The Sn(3)-O(10) bond length is 2.12 Å. The Sn(3)-O(21) bond length is 2.09 Å. The Sn(3)-O(29) bond length is 2.15 Å. The Sn(3)-O(3) bond length is 2.07 Å. The Sn(3)-O(5) bond length is 2.05 Å. In the fourth Sn site, Sn(4) is bonded to one O(2), one O(22), one O(30), one O(4), one O(6), and one O(9) atom to form SnO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. The Sn(4)-O(2) bond length is 2.08 Å. The Sn(4)-O(22) bond length is 2.10 Å. The Sn(4)-O(30) bond length is 2.16 Å. The Sn(4)-O(4) bond length is 2.06 Å. The Sn(4)-O(6) bond length is 2.04 Å. The Sn(4)-O(9) bond length is 2.12 Å. In the fifth Sn site, Sn(5) is bonded to one O(1), one O(23), one O(3), one O(31), one O(6), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Ti(4)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(7)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-56°. The Sn(5)-O(1) bond length is 2.09 Å. The Sn(5)-O(23) bond length is 2.08 Å. The Sn(5)-O(3) bond length is 2.08 Å. The Sn(5)-O(31) bond length is 2.15 Å. The Sn(5)-O(6) bond length is 2.05 Å. The Sn(5)-O(9) bond length is 2.13 Å. In the sixth Sn site, Sn(6) is bonded to one O(10), one O(2), one O(24), one O(32), one O(4), and one O(5) atom to form SnO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(5)O4 tetrahedra, corners with two equivalent Li(8)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-55°. The Sn(6)-O(10) bond length is 2.14 Å. The Sn(6)-O(2) bond length is 2.08 Å. The Sn(6)-O(24) bond length is 2.09 Å. The Sn(6)-O(32) bond length is 2.15 Å. The Sn(6)-O(4) bond length is 2.07 Å. The Sn(6)-O(5) bond length is 2.05 Å. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(7), one Ti(1), one Sn(3), and one Sn(5) atom. In the second O site, O(2) is bonded to one Li(8), one Ti(2), one Sn(4), and one Sn(6) atom to form distorted OLiTiSn2 trigonal pyramids that share  a cornercorner with one O(5)LiCoSn2 tetrahedra,  a cornercorner with one O(6)LiCoSn2 tetrahedra,  a cornercorner with one O(21)LiTiCoSn trigonal pyramid,  a cornercorner with one O(24)LiTiCoSn trigonal pyramid,  an edgeedge with one O(22)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(24)LiTiCoSn trigonal pyramid. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Co(1), one Sn(3), and one Sn(5) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(4), one Sn(4), and one Sn(6) atom. In the fifth O site, O(5) is bonded to one Li(5), one Co(1), one Sn(3), and one Sn(6) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(23)LiTiCoSn trigonal pyramid,  a cornercorner with one O(24)LiTiCoSn trigonal pyramid,  a cornercorner with one O(2)LiTiSn2 trigonal pyramid, and corners with two equivalent O(21)LiTiCoSn trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(6), one Co(4), one Sn(4), and one Sn(5) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(23)LiTiCoSn trigonal pyramid,  a cornercorner with one O(24)LiTiCoSn trigonal pyramid,  a cornercorner with one O(2)LiTiSn2 trigonal pyramid, and corners with two equivalent O(22)LiTiCoSn trigonal pyramids. In the seventh O site, O(7) is bonded to one Li(3), one Co(2), one Co(6), and one Sn(2) atom to form OLiCo2Sn tetrahedra that share  a cornercorner with one O(15)LiTiCo2 trigonal pyramid,  a cornercorner with one O(25)LiTiCoSn trigonal pyramid, and  a cornercorner with one O(26)LiTiCoSn trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Co(3), one Co(5), and one Sn(1) atom to form OLiCo2Sn tetrahedra that share  a cornercorner with one O(15)LiTiCo2 trigonal pyramid,  a cornercorner with one O(25)LiTiCoSn trigonal pyramid, and  a cornercorner with one O(26)LiTiCoSn trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(4), one Sn(4), and one Sn(5) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(3), one Sn(3), and one Sn(6) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(5), one Ti(1), one Co(2), and one Co(6) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(6), one Ti(2), one Co(3), and one Co(5) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(7), one Co(2), one Co(3), and one Sn(1) atom. In the fourteenth O site, O(14) is bonded in a distorted rectangular see-saw-like geometry to one Li(8), one Co(5), one Co(6), and one Sn(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(3), one Co(2), and one Co(3) atom to form distorted OLiTiCo2 trigonal pyramids that share  a cornercorner with one O(7)LiCo2Sn tetrahedra,  a cornercorner with one O(8)LiCo2Sn tetrahedra,  a cornercorner with one O(25)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(25)LiTiCoSn trigonal pyramid. In the sixteenth O site, O(16) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Ti(4), one Co(5), and one Co(6) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(5), one Ti(1), one Co(2), and one Sn(2) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Li(6), one Ti(2), one Co(5), and one Sn(1) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Li(6), one Ti(1), one Co(3), and one Sn(1) atom. In the twentieth O site, O(20) is bonded in a rectangular see-saw-like geometry to one Li(5), one Ti(2), one Co(6), and one Sn(2) atom. In the twenty-first O site, O(21) is bonded to one Li(8), one Ti(1), one Co(1), and one Sn(3) atom to form distorted OLiTiCoSn trigonal pyramids that share corners with two equivalent O(5)LiCoSn2 tetrahedra,  a cornercorner with one O(24)LiTiCoSn trigonal pyramid,  a cornercorner with one O(2)LiTiSn2 trigonal pyramid, and  an edgeedge with one O(23)LiTiCoSn trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Li(7), one Ti(2), one Co(4), and one Sn(4) atom to form distorted OLiTiCoSn trigonal pyramids that share corners with two equivalent O(6)LiCoSn2 tetrahedra,  a cornercorner with one O(23)LiTiCoSn trigonal pyramid,  an edgeedge with one O(24)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(2)LiTiSn2 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Li(7), one Ti(1), one Co(1), and one Sn(5) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(5)LiCoSn2 tetrahedra,  a cornercorner with one O(6)LiCoSn2 tetrahedra,  a cornercorner with one O(22)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(21)LiTiCoSn trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Li(8), one Ti(2), one Co(4), and one Sn(6) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(5)LiCoSn2 tetrahedra,  a cornercorner with one O(6)LiCoSn2 tetrahedra,  a cornercorner with one O(21)LiTiCoSn trigonal pyramid,  a cornercorner with one O(2)LiTiSn2 trigonal pyramid,  an edgeedge with one O(22)LiTiCoSn trigonal pyramid, and  an edgeedge with one O(2)LiTiSn2 trigonal pyramid. In the twenty-fifth O site, O(25) is bonded to one Li(1), one Ti(3), one Co(2), and one Sn(1) atom to form distorted OLiTiCoSn trigonal pyramids that share  a cornercorner with one O(7)LiCo2Sn tetrahedra,  a cornercorner with one O(8)LiCo2Sn tetrahedra,  a cornercorner with one O(15)LiTiCo2 trigonal pyramid, and  an edgeedge with one O(15)LiTiCo2 trigonal pyramid. In the twenty-sixth O site, O(26) is bonded to one Li(2), one Ti(4), one Co(5), and one Sn(2) atom to form distorted corner-sharing OLiTiCoSn trigonal pyramids. In the twenty-seventh O site, O(27) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Ti(3), one Co(3), and one Sn(1) atom. In the twenty-eighth O site, O(28) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(4), one Co(6), and one Sn(2) atom. In the twenty-ninth O site, O(29) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(4), one Co(1), and one Sn(3) atom. In the thirtieth O site, O(30) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Co(4), and one Sn(4) atom. In the thirty-first O site, O(31) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(4), one Co(4), and one Sn(5) atom. In the thirty-second O site, O(32) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(3), one Co(1), and one Sn(6) atom.