Li4Ti3Mn3(SnO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-68°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 47°. In the second Ti site, Ti(2) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-55°. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(2), and one Sn(1) atom to form distorted OLiTi2Sn trigonal pyramids that share  a cornercorner with one O(10)LiTiMn2 tetrahedra, corners with two equivalent O(4)LiTi2Mn tetrahedra, corners with two equivalent O(6)LiTiMnSn tetrahedra, and edges with two equivalent O(6)LiTiMnSn tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(2), and one Mn(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(2), and one Mn(1) atom to form distorted OLiTi2Mn tetrahedra that share corners with four equivalent O(6)LiTiMnSn tetrahedra and corners with two equivalent O(2)LiTi2Sn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(1), and two equivalent Mn(2) atoms to form OLiTiMn2 tetrahedra that share corners with two equivalent O(12)LiMn2Sn tetrahedra and corners with three equivalent O(10)LiTiMn2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Ti(2), one Mn(1), and one Sn(1) atom to form distorted OLiTiMnSn tetrahedra that share  a cornercorner with one O(10)LiTiMn2 tetrahedra,  a cornercorner with one O(6)LiTiMnSn tetrahedra, corners with two equivalent O(4)LiTi2Mn tetrahedra,  a cornercorner with one O(2)LiTi2Sn trigonal pyramid,  an edgeedge with one O(6)LiTiMnSn tetrahedra, and  an edgeedge with one O(2)LiTi2Sn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(2), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Mn(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(1), one Mn(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Ti(1), and two equivalent Mn(2) atoms to form distorted OLiTiMn2 tetrahedra that share corners with two equivalent O(6)LiTiMnSn tetrahedra, corners with three equivalent O(5)LiTiMn2 tetrahedra,  a cornercorner with one O(2)LiTi2Sn trigonal pyramid, and  an edgeedge with one O(12)LiMn2Sn tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Mn(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Sn(2) atom to form a mixture of distorted corner and edge-sharing OLiMn2Sn tetrahedra.
Li4Ti3Mn3(SnO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. The Li(1)-O(12) bond length is 2.02 Å. The Li(1)-O(3) bond length is 2.08 Å. Both Li(1)-O(9) bond lengths are 1.99 Å. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. The Li(2)-O(5) bond length is 1.85 Å. The Li(2)-O(7) bond length is 2.07 Å. Both Li(2)-O(11) bond lengths are 1.98 Å. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. The Li(3)-O(4) bond length is 1.83 Å. The Li(3)-O(8) bond length is 2.01 Å. Both Li(3)-O(1) bond lengths are 2.00 Å. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-68°. The Li(4)-O(10) bond length is 2.14 Å. The Li(4)-O(2) bond length is 2.11 Å. Both Li(4)-O(6) bond lengths are 1.98 Å. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 47°. The Ti(1)-O(10) bond length is 2.07 Å. The Ti(1)-O(5) bond length is 2.02 Å. Both Ti(1)-O(1) bond lengths are 1.99 Å. Both Ti(1)-O(9) bond lengths are 1.96 Å. In the second Ti site, Ti(2) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. The Ti(2)-O(11) bond length is 2.03 Å. The Ti(2)-O(2) bond length is 2.04 Å. The Ti(2)-O(3) bond length is 1.95 Å. The Ti(2)-O(4) bond length is 1.95 Å. The Ti(2)-O(6) bond length is 1.95 Å. The Ti(2)-O(7) bond length is 2.05 Å. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. The Mn(1)-O(3) bond length is 2.17 Å. The Mn(1)-O(4) bond length is 2.11 Å. Both Mn(1)-O(11) bond lengths are 2.16 Å. Both Mn(1)-O(6) bond lengths are 2.19 Å. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. The Mn(2)-O(1) bond length is 2.26 Å. The Mn(2)-O(10) bond length is 1.96 Å. The Mn(2)-O(12) bond length is 2.00 Å. The Mn(2)-O(5) bond length is 1.97 Å. The Mn(2)-O(8) bond length is 2.02 Å. The Mn(2)-O(9) bond length is 2.26 Å. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-55°. The Sn(1)-O(2) bond length is 2.20 Å. The Sn(1)-O(8) bond length is 2.10 Å. Both Sn(1)-O(1) bond lengths are 2.07 Å. Both Sn(1)-O(6) bond lengths are 2.12 Å. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-57°. The Sn(2)-O(12) bond length is 2.19 Å. The Sn(2)-O(7) bond length is 2.18 Å. Both Sn(2)-O(11) bond lengths are 2.06 Å. Both Sn(2)-O(9) bond lengths are 2.12 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(2), and one Sn(1) atom to form distorted OLiTi2Sn trigonal pyramids that share  a cornercorner with one O(10)LiTiMn2 tetrahedra, corners with two equivalent O(4)LiTi2Mn tetrahedra, corners with two equivalent O(6)LiTiMnSn tetrahedra, and edges with two equivalent O(6)LiTiMnSn tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(2), and one Mn(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(2), and one Mn(1) atom to form distorted OLiTi2Mn tetrahedra that share corners with four equivalent O(6)LiTiMnSn tetrahedra and corners with two equivalent O(2)LiTi2Sn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(1), and two equivalent Mn(2) atoms to form OLiTiMn2 tetrahedra that share corners with two equivalent O(12)LiMn2Sn tetrahedra and corners with three equivalent O(10)LiTiMn2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Ti(2), one Mn(1), and one Sn(1) atom to form distorted OLiTiMnSn tetrahedra that share  a cornercorner with one O(10)LiTiMn2 tetrahedra,  a cornercorner with one O(6)LiTiMnSn tetrahedra, corners with two equivalent O(4)LiTi2Mn tetrahedra,  a cornercorner with one O(2)LiTi2Sn trigonal pyramid,  an edgeedge with one O(6)LiTiMnSn tetrahedra, and  an edgeedge with one O(2)LiTi2Sn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(2), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Mn(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(1), one Mn(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Ti(1), and two equivalent Mn(2) atoms to form distorted OLiTiMn2 tetrahedra that share corners with two equivalent O(6)LiTiMnSn tetrahedra, corners with three equivalent O(5)LiTiMn2 tetrahedra,  a cornercorner with one O(2)LiTi2Sn trigonal pyramid, and  an edgeedge with one O(12)LiMn2Sn tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Mn(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Sn(2) atom to form a mixture of distorted corner and edge-sharing OLiMn2Sn tetrahedra.