The compound described by Li4Co3Sn5O16 is Spinel-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(21), one O(24), one O(30), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra, corners with two equivalent Co(6)O6 octahedra, and corners with two equivalent Sn(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. In the second Li site, Li(2) is bonded to one O(22), one O(23), one O(29), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with two equivalent Sn(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-65°. In the third Li site, Li(3) is bonded to one O(17), one O(27), one O(32), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra, corners with two equivalent Sn(9)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-69°. In the fourth Li site, Li(4) is bonded in a rectangular see-saw-like geometry to one O(10), one O(18), one O(28), and one O(31) atom. In the fifth Li site, Li(5) is bonded to one O(11), one O(19), one O(2), and one O(7) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Sn(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. In the sixth Li site, Li(6) is bonded to one O(1), one O(12), one O(20), and one O(8) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Sn(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Sn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-64°. In the seventh Li site, Li(7) is bonded to one O(14), one O(15), one O(25), and one O(4) atom to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with two equivalent Sn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. In the eighth Li site, Li(8) is bonded to one O(13), one O(16), one O(26), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, and corners with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-66°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(28), one O(31), one O(6), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra,  a cornercorner with one Li(2)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 Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and edges with two equivalent Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(20), one O(22), one O(26), and one O(30) atom to form CoO6 octahedra that share  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)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,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(10)O6 octahedra, edges with two equivalent Sn(8)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-52°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(20), one O(23), one O(25), and one O(29) atom to form CoO6 octahedra that share corners with two equivalent Sn(4)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Sn(7)O6 octahedra,  an edgeedge with one Sn(8)O6 octahedra,  an edgeedge with one Sn(9)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-57°. In the fourth Co site, Co(4) is bonded to one O(13), one O(15), one O(27), one O(32), one O(5), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra,  a cornercorner with one Li(1)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 Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, edges with two equivalent Sn(5)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-52°. In the fifth Co site, Co(5) is bonded to one O(19), one O(2), one O(21), one O(25), one O(29), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)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(3)O4 trigonal pyramid,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(9)O6 octahedra, edges with two equivalent Sn(7)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the sixth Co site, Co(6) is bonded to one O(11), one O(19), one O(24), one O(26), one O(30), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Sn(3)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Sn(10)O6 octahedra,  an edgeedge with one Sn(7)O6 octahedra,  an edgeedge with one Sn(8)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-55°. There are ten inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(13), one O(18), one O(28), one O(3), one O(5), and one O(8) atom to form SnO6 octahedra that share corners with two equivalent Sn(10)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(8)O4 tetrahedra,  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(5)O6 octahedra, and  an edgeedge with one Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the second Sn site, Sn(2) is bonded to one O(14), one O(17), one O(27), one O(4), one O(6), and one O(7) atom to form SnO6 octahedra that share corners with two equivalent Sn(9)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(5)O4 tetrahedra, corners with two equivalent Li(7)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-52°. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(13), one O(15), one O(19), and one O(3) atom to form SnO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Li(8)O4 tetrahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-58°. In the fourth Sn site, Sn(4) is bonded to one O(12), one O(14), one O(16), one O(2), one O(20), and one O(4) atom to form SnO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra, corners with two equivalent Li(7)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. In the fifth Sn site, Sn(5) is bonded to one O(15), one O(17), one O(3), one O(32), one O(5), and one O(7) atom to form SnO6 octahedra that share  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra,  a cornercorner with one Li(1)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 Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Sn(3)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 52-53°. In the sixth Sn site, Sn(6) is bonded to one O(16), one O(18), one O(31), one O(4), one O(6), and one O(8) atom to form SnO6 octahedra that share  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra,  a cornercorner with one Li(2)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 Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. In the seventh Sn site, Sn(7) is bonded to one O(11), one O(2), one O(21), one O(23), one O(25), and one O(9) atom to form SnO6 octahedra that share  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)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(3)O4 trigonal pyramid,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(9)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-58°. In the eighth Sn site, Sn(8) is bonded to one O(1), one O(10), one O(12), one O(22), one O(24), and one O(26) atom to form SnO6 octahedra that share  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)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,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(10)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the ninth Sn site, Sn(9) is bonded to one O(17), one O(21), one O(23), one O(27), one O(29), and one O(31) atom to form SnO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Sn(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. In the tenth Sn site, Sn(10) is bonded to one O(18), one O(22), one O(24), one O(28), one O(30), and one O(32) atom to form SnO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Sn(1)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,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Sn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-57°. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(6), one Co(2), one Sn(3), and one Sn(8) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(5), one Co(5), one Sn(4), and one Sn(7) atom. In the third O site, O(3) is bonded to one Li(8), one Sn(1), one Sn(3), and one Sn(5) atom to form a mixture of distorted corner and edge-sharing OLiSn3 trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(7), one Sn(2), one Sn(4), and one Sn(6) atom to form a mixture of distorted corner and edge-sharing OLiSn3 tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(4), one Sn(1), and one Sn(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Sn(2), and one Sn(6) atom. In the seventh O site, O(7) is bonded to one Li(5), one Co(4), one Sn(2), and one Sn(5) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(14)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiSn3 tetrahedra,  a cornercorner with one O(13)LiCoSn2 trigonal pyramid,  a cornercorner with one O(3)LiSn3 trigonal pyramid, and corners with two equivalent O(15)LiCoSn2 trigonal pyramids. In the eighth O site, O(8) is bonded to one Li(6), one Co(1), one Sn(1), and one Sn(6) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(14)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiSn3 tetrahedra, corners with two equivalent O(16)LiCoSn2 tetrahedra,  a cornercorner with one O(13)LiCoSn2 trigonal pyramid, and  a cornercorner with one O(3)LiSn3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(3), one Co(5), one Co(6), and one Sn(7) atom to form OLiCo2Sn tetrahedra that share  a cornercorner with one O(29)LiCo2Sn trigonal pyramid,  a cornercorner with one O(30)LiCo2Sn trigonal pyramid, and  a cornercorner with one O(24)LiCoSn2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Co(2), one Co(3), and one Sn(8) atom to form distorted OLiCo2Sn tetrahedra that share  a cornercorner with one O(29)LiCo2Sn trigonal pyramid,  a cornercorner with one O(30)LiCo2Sn trigonal pyramid, and  a cornercorner with one O(24)LiCoSn2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(5), one Co(6), one Sn(3), and one Sn(7) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(6), one Co(3), one Sn(4), and one Sn(8) atom. In the thirteenth O site, O(13) is bonded to one Li(8), one Co(4), one Sn(1), and one Sn(3) atom to form distorted OLiCoSn2 trigonal pyramids that share  a cornercorner with one O(16)LiCoSn2 tetrahedra,  a cornercorner with one O(7)LiCoSn2 tetrahedra,  a cornercorner with one O(8)LiCoSn2 tetrahedra,  a cornercorner with one O(3)LiSn3 trigonal pyramid,  an edgeedge with one O(15)LiCoSn2 trigonal pyramid, and  an edgeedge with one O(3)LiSn3 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Li(7), one Co(1), one Sn(2), and one Sn(4) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(7)LiCoSn2 tetrahedra,  a cornercorner with one O(8)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiSn3 tetrahedra,  a cornercorner with one O(15)LiCoSn2 trigonal pyramid,  an edgeedge with one O(16)LiCoSn2 tetrahedra, and  an edgeedge with one O(4)LiSn3 tetrahedra. In the fifteenth O site, O(15) is bonded to one Li(7), one Co(4), one Sn(3), and one Sn(5) atom to form distorted OLiCoSn2 trigonal pyramids that share  a cornercorner with one O(14)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiSn3 tetrahedra, corners with two equivalent O(7)LiCoSn2 tetrahedra,  an edgeedge with one O(13)LiCoSn2 trigonal pyramid, and  an edgeedge with one O(3)LiSn3 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Li(8), one Co(1), one Sn(4), and one Sn(6) atom to form distorted OLiCoSn2 tetrahedra that share corners with two equivalent O(8)LiCoSn2 tetrahedra,  a cornercorner with one O(13)LiCoSn2 trigonal pyramid,  a cornercorner with one O(3)LiSn3 trigonal pyramid,  an edgeedge with one O(14)LiCoSn2 tetrahedra, and  an edgeedge with one O(4)LiSn3 tetrahedra. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(3), one Sn(2), one Sn(5), and one Sn(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Li(4), one Sn(1), one Sn(10), and one Sn(6) atom. In the nineteenth O site, O(19) is bonded in a distorted rectangular see-saw-like geometry to one Li(5), one Co(5), one Co(6), and one Sn(3) atom. In the twentieth O site, O(20) is bonded in a distorted rectangular see-saw-like geometry to one Li(6), one Co(2), one Co(3), and one Sn(4) atom. In the twenty-first O site, O(21) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(5), one Sn(7), and one Sn(9) atom. In the twenty-second O site, O(22) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Co(2), one Sn(10), and one Sn(8) atom. In the twenty-third O site, O(23) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Co(3), one Sn(7), and one Sn(9) atom. In the twenty-fourth O site, O(24) is bonded to one Li(1), one Co(6), one Sn(10), and one Sn(8) atom to form a mixture of distorted corner and edge-sharing OLiCoSn2 trigonal pyramids. In the twenty-fifth O site, O(25) is bonded in a rectangular see-saw-like geometry to one Li(7), one Co(3), one Co(5), and one Sn(7) atom. In the twenty-sixth O site, O(26) is bonded in a distorted rectangular see-saw-like geometry to one Li(8), one Co(2), one Co(6), and one Sn(8) atom. In the twenty-seventh O site, O(27) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(4), one Sn(2), and one Sn(9) atom. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(1), one Sn(1), and one Sn(10) atom. In the twenty-ninth O site, O(29) is bonded to one Li(2), one Co(3), one Co(5), and one Sn(9) atom to form distorted corner-sharing OLiCo2Sn trigonal pyramids. In the thirtieth O site, O(30) is bonded to one Li(1), one Co(2), one Co(6), and one Sn(10) atom to form distorted OLiCo2Sn trigonal pyramids that share  a cornercorner with one O(10)LiCo2Sn tetrahedra,  a cornercorner with one O(9)LiCo2Sn tetrahedra,  a cornercorner with one O(24)LiCoSn2 trigonal pyramid, and  an edgeedge with one O(24)LiCoSn2 trigonal pyramid. In the thirty-first O site, O(31) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Co(1), one Sn(6), and one Sn(9) atom. In the thirty-second O site, O(32) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(4), one Sn(10), and one Sn(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Co3Sn5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.102
_cell_length_b   6.151
_cell_length_c   9.872
_cell_angle_alpha   90.435
_cell_angle_beta   90.104
_cell_angle_gamma   119.625
_symmetry_Int_Tables_number   1
_cell_volume   322.093
_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
  Co  Co0  1  0.171  0.830  0.785  1.0
  Co  Co1  1  0.820  0.661  0.284  1.0
  Co  Co2  1  0.336  0.168  0.290  1.0
  Li  Li3  1  0.334  0.675  0.108  1.0
  Li  Li4  1  0.023  0.983  0.014  1.0
  Li  Li5  1  0.004  0.986  0.502  1.0
  Li  Li6  1  0.664  0.333  0.595  1.0
  O  O7  1  0.670  0.837  0.403  1.0
  O  O8  1  0.484  0.515  0.656  1.0
  O  O9  1  0.332  0.671  0.897  1.0
  O  O10  1  0.004  0.995  0.688  1.0
  O  O11  1  0.007  0.002  0.196  1.0
  O  O12  1  0.159  0.318  0.409  1.0
  O  O13  1  0.478  0.963  0.659  1.0
  O  O14  1  0.034  0.522  0.661  1.0
  O  O15  1  0.841  0.162  0.906  1.0
  O  O16  1  0.144  0.819  0.397  1.0
  O  O17  1  0.969  0.485  0.155  1.0
  O  O18  1  0.513  0.041  0.155  1.0
  O  O19  1  0.659  0.334  0.393  1.0
  O  O20  1  0.842  0.677  0.901  1.0
  O  O21  1  0.534  0.505  0.161  1.0
  O  O22  1  0.327  0.162  0.901  1.0
  Sn  Sn23  1  0.662  0.832  0.786  1.0
  Sn  Sn24  1  0.324  0.668  0.504  1.0
  Sn  Sn25  1  0.169  0.339  0.785  1.0
  Sn  Sn26  1  0.830  0.173  0.286  1.0
  Sn  Sn27  1  0.665  0.343  0.015  1.0
[/CIF]
.
The compound described by Li4Co3Sn5O16 is Spinel-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(21), one O(24), one O(30), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra, corners with two equivalent Co(6)O6 octahedra, and corners with two equivalent Sn(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. In the second Li site, Li(2) is bonded to one O(22), one O(23), one O(29), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with two equivalent Sn(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-65°. In the third Li site, Li(3) is bonded to one O(17), one O(27), one O(32), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra, corners with two equivalent Sn(9)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-69°. In the fourth Li site, Li(4) is bonded in a rectangular see-saw-like geometry to one O(10), one O(18), one O(28), and one O(31) atom. In the fifth Li site, Li(5) is bonded to one O(11), one O(19), one O(2), and one O(7) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Sn(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. In the sixth Li site, Li(6) is bonded to one O(1), one O(12), one O(20), and one O(8) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Sn(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Sn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-64°. In the seventh Li site, Li(7) is bonded to one O(14), one O(15), one O(25), and one O(4) atom to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with two equivalent Sn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. In the eighth Li site, Li(8) is bonded to one O(13), one O(16), one O(26), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Sn(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, and corners with two equivalent Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-66°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(28), one O(31), one O(6), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra,  a cornercorner with one Li(2)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 Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and edges with two equivalent Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(20), one O(22), one O(26), and one O(30) atom to form CoO6 octahedra that share  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)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,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(10)O6 octahedra, edges with two equivalent Sn(8)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-52°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(20), one O(23), one O(25), and one O(29) atom to form CoO6 octahedra that share corners with two equivalent Sn(4)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Sn(7)O6 octahedra,  an edgeedge with one Sn(8)O6 octahedra,  an edgeedge with one Sn(9)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-57°. In the fourth Co site, Co(4) is bonded to one O(13), one O(15), one O(27), one O(32), one O(5), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra,  a cornercorner with one Li(1)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 Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, edges with two equivalent Sn(5)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-52°. In the fifth Co site, Co(5) is bonded to one O(19), one O(2), one O(21), one O(25), one O(29), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)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(3)O4 trigonal pyramid,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(9)O6 octahedra, edges with two equivalent Sn(7)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the sixth Co site, Co(6) is bonded to one O(11), one O(19), one O(24), one O(26), one O(30), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Sn(3)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Sn(10)O6 octahedra,  an edgeedge with one Sn(7)O6 octahedra,  an edgeedge with one Sn(8)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-55°. There are ten inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(13), one O(18), one O(28), one O(3), one O(5), and one O(8) atom to form SnO6 octahedra that share corners with two equivalent Sn(10)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(8)O4 tetrahedra,  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(5)O6 octahedra, and  an edgeedge with one Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the second Sn site, Sn(2) is bonded to one O(14), one O(17), one O(27), one O(4), one O(6), and one O(7) atom to form SnO6 octahedra that share corners with two equivalent Sn(9)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(5)O4 tetrahedra, corners with two equivalent Li(7)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra,  an edgeedge with one Sn(5)O6 octahedra,  an edgeedge with one Sn(6)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-52°. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(13), one O(15), one O(19), and one O(3) atom to form SnO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  a cornercorner with one Li(7)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Li(8)O4 tetrahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-58°. In the fourth Sn site, Sn(4) is bonded to one O(12), one O(14), one O(16), one O(2), one O(20), and one O(4) atom to form SnO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Sn(7)O6 octahedra,  a cornercorner with one Sn(8)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  a cornercorner with one Li(8)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra, corners with two equivalent Li(7)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and  an edgeedge with one Sn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. In the fifth Sn site, Sn(5) is bonded to one O(15), one O(17), one O(3), one O(32), one O(5), and one O(7) atom to form SnO6 octahedra that share  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra,  a cornercorner with one Li(1)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 Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Sn(3)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 52-53°. In the sixth Sn site, Sn(6) is bonded to one O(16), one O(18), one O(31), one O(4), one O(6), and one O(8) atom to form SnO6 octahedra that share  a cornercorner with one Sn(10)O6 octahedra,  a cornercorner with one Sn(9)O6 octahedra,  a cornercorner with one Li(2)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 Sn(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Sn(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. In the seventh Sn site, Sn(7) is bonded to one O(11), one O(2), one O(21), one O(23), one O(25), and one O(9) atom to form SnO6 octahedra that share  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)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(3)O4 trigonal pyramid,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(9)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-58°. In the eighth Sn site, Sn(8) is bonded to one O(1), one O(10), one O(12), one O(22), one O(24), and one O(26) atom to form SnO6 octahedra that share  a cornercorner with one Sn(3)O6 octahedra,  a cornercorner with one Sn(4)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,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Sn(10)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the ninth Sn site, Sn(9) is bonded to one O(17), one O(21), one O(23), one O(27), one O(29), and one O(31) atom to form SnO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Sn(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. In the tenth Sn site, Sn(10) is bonded to one O(18), one O(22), one O(24), one O(28), one O(30), and one O(32) atom to form SnO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Sn(5)O6 octahedra,  a cornercorner with one Sn(6)O6 octahedra, corners with two equivalent Sn(1)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,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Sn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-57°. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(6), one Co(2), one Sn(3), and one Sn(8) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(5), one Co(5), one Sn(4), and one Sn(7) atom. In the third O site, O(3) is bonded to one Li(8), one Sn(1), one Sn(3), and one Sn(5) atom to form a mixture of distorted corner and edge-sharing OLiSn3 trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(7), one Sn(2), one Sn(4), and one Sn(6) atom to form a mixture of distorted corner and edge-sharing OLiSn3 tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(4), one Sn(1), and one Sn(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Sn(2), and one Sn(6) atom. In the seventh O site, O(7) is bonded to one Li(5), one Co(4), one Sn(2), and one Sn(5) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(14)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiSn3 tetrahedra,  a cornercorner with one O(13)LiCoSn2 trigonal pyramid,  a cornercorner with one O(3)LiSn3 trigonal pyramid, and corners with two equivalent O(15)LiCoSn2 trigonal pyramids. In the eighth O site, O(8) is bonded to one Li(6), one Co(1), one Sn(1), and one Sn(6) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(14)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiSn3 tetrahedra, corners with two equivalent O(16)LiCoSn2 tetrahedra,  a cornercorner with one O(13)LiCoSn2 trigonal pyramid, and  a cornercorner with one O(3)LiSn3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(3), one Co(5), one Co(6), and one Sn(7) atom to form OLiCo2Sn tetrahedra that share  a cornercorner with one O(29)LiCo2Sn trigonal pyramid,  a cornercorner with one O(30)LiCo2Sn trigonal pyramid, and  a cornercorner with one O(24)LiCoSn2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Co(2), one Co(3), and one Sn(8) atom to form distorted OLiCo2Sn tetrahedra that share  a cornercorner with one O(29)LiCo2Sn trigonal pyramid,  a cornercorner with one O(30)LiCo2Sn trigonal pyramid, and  a cornercorner with one O(24)LiCoSn2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(5), one Co(6), one Sn(3), and one Sn(7) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(6), one Co(3), one Sn(4), and one Sn(8) atom. In the thirteenth O site, O(13) is bonded to one Li(8), one Co(4), one Sn(1), and one Sn(3) atom to form distorted OLiCoSn2 trigonal pyramids that share  a cornercorner with one O(16)LiCoSn2 tetrahedra,  a cornercorner with one O(7)LiCoSn2 tetrahedra,  a cornercorner with one O(8)LiCoSn2 tetrahedra,  a cornercorner with one O(3)LiSn3 trigonal pyramid,  an edgeedge with one O(15)LiCoSn2 trigonal pyramid, and  an edgeedge with one O(3)LiSn3 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Li(7), one Co(1), one Sn(2), and one Sn(4) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(7)LiCoSn2 tetrahedra,  a cornercorner with one O(8)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiSn3 tetrahedra,  a cornercorner with one O(15)LiCoSn2 trigonal pyramid,  an edgeedge with one O(16)LiCoSn2 tetrahedra, and  an edgeedge with one O(4)LiSn3 tetrahedra. In the fifteenth O site, O(15) is bonded to one Li(7), one Co(4), one Sn(3), and one Sn(5) atom to form distorted OLiCoSn2 trigonal pyramids that share  a cornercorner with one O(14)LiCoSn2 tetrahedra,  a cornercorner with one O(4)LiSn3 tetrahedra, corners with two equivalent O(7)LiCoSn2 tetrahedra,  an edgeedge with one O(13)LiCoSn2 trigonal pyramid, and  an edgeedge with one O(3)LiSn3 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Li(8), one Co(1), one Sn(4), and one Sn(6) atom to form distorted OLiCoSn2 tetrahedra that share corners with two equivalent O(8)LiCoSn2 tetrahedra,  a cornercorner with one O(13)LiCoSn2 trigonal pyramid,  a cornercorner with one O(3)LiSn3 trigonal pyramid,  an edgeedge with one O(14)LiCoSn2 tetrahedra, and  an edgeedge with one O(4)LiSn3 tetrahedra. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(3), one Sn(2), one Sn(5), and one Sn(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Li(4), one Sn(1), one Sn(10), and one Sn(6) atom. In the nineteenth O site, O(19) is bonded in a distorted rectangular see-saw-like geometry to one Li(5), one Co(5), one Co(6), and one Sn(3) atom. In the twentieth O site, O(20) is bonded in a distorted rectangular see-saw-like geometry to one Li(6), one Co(2), one Co(3), and one Sn(4) atom. In the twenty-first O site, O(21) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(5), one Sn(7), and one Sn(9) atom. In the twenty-second O site, O(22) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Co(2), one Sn(10), and one Sn(8) atom. In the twenty-third O site, O(23) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Co(3), one Sn(7), and one Sn(9) atom. In the twenty-fourth O site, O(24) is bonded to one Li(1), one Co(6), one Sn(10), and one Sn(8) atom to form a mixture of distorted corner and edge-sharing OLiCoSn2 trigonal pyramids. In the twenty-fifth O site, O(25) is bonded in a rectangular see-saw-like geometry to one Li(7), one Co(3), one Co(5), and one Sn(7) atom. In the twenty-sixth O site, O(26) is bonded in a distorted rectangular see-saw-like geometry to one Li(8), one Co(2), one Co(6), and one Sn(8) atom. In the twenty-seventh O site, O(27) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(4), one Sn(2), and one Sn(9) atom. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(1), one Sn(1), and one Sn(10) atom. In the twenty-ninth O site, O(29) is bonded to one Li(2), one Co(3), one Co(5), and one Sn(9) atom to form distorted corner-sharing OLiCo2Sn trigonal pyramids. In the thirtieth O site, O(30) is bonded to one Li(1), one Co(2), one Co(6), and one Sn(10) atom to form distorted OLiCo2Sn trigonal pyramids that share  a cornercorner with one O(10)LiCo2Sn tetrahedra,  a cornercorner with one O(9)LiCo2Sn tetrahedra,  a cornercorner with one O(24)LiCoSn2 trigonal pyramid, and  an edgeedge with one O(24)LiCoSn2 trigonal pyramid. In the thirty-first O site, O(31) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Co(1), one Sn(6), and one Sn(9) atom. In the thirty-second O site, O(32) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(4), one Sn(10), and one Sn(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Co3Sn5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.102
_cell_length_b   6.151
_cell_length_c   9.872
_cell_angle_alpha   90.435
_cell_angle_beta   90.104
_cell_angle_gamma   119.625
_symmetry_Int_Tables_number   1
_cell_volume   322.093
_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
  Co  Co0  1  0.171  0.830  0.785  1.0
  Co  Co1  1  0.820  0.661  0.284  1.0
  Co  Co2  1  0.336  0.168  0.290  1.0
  Li  Li3  1  0.334  0.675  0.108  1.0
  Li  Li4  1  0.023  0.983  0.014  1.0
  Li  Li5  1  0.004  0.986  0.502  1.0
  Li  Li6  1  0.664  0.333  0.595  1.0
  O  O7  1  0.670  0.837  0.403  1.0
  O  O8  1  0.484  0.515  0.656  1.0
  O  O9  1  0.332  0.671  0.897  1.0
  O  O10  1  0.004  0.995  0.688  1.0
  O  O11  1  0.007  0.002  0.196  1.0
  O  O12  1  0.159  0.318  0.409  1.0
  O  O13  1  0.478  0.963  0.659  1.0
  O  O14  1  0.034  0.522  0.661  1.0
  O  O15  1  0.841  0.162  0.906  1.0
  O  O16  1  0.144  0.819  0.397  1.0
  O  O17  1  0.969  0.485  0.155  1.0
  O  O18  1  0.513  0.041  0.155  1.0
  O  O19  1  0.659  0.334  0.393  1.0
  O  O20  1  0.842  0.677  0.901  1.0
  O  O21  1  0.534  0.505  0.161  1.0
  O  O22  1  0.327  0.162  0.901  1.0
  Sn  Sn23  1  0.662  0.832  0.786  1.0
  Sn  Sn24  1  0.324  0.668  0.504  1.0
  Sn  Sn25  1  0.169  0.339  0.785  1.0
  Sn  Sn26  1  0.830  0.173  0.286  1.0
  Sn  Sn27  1  0.665  0.343  0.015  1.0
[/CIF]
.