Li4Ti3Fe3(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 Fe(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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. 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 Fe(1)O6 octahedra, corners with two equivalent Fe(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 54-64°. 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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. 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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 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 55°. In the second Fe site, Fe(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 FeO6 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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. 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 Fe(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 Fe(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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. 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 Fe(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 corners with two equivalent O(4)LiTi2Fe tetrahedra, corners with two equivalent O(6)LiTiFeSn tetrahedra, and edges with two equivalent O(6)LiTiFeSn 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 Fe(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(2), and one Fe(1) atom to form distorted OLiTi2Fe tetrahedra that share corners with four equivalent O(6)LiTiFeSn 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 Fe(2) atoms to form OLiTiFe2 tetrahedra that share corners with two equivalent O(12)LiFe2Sn tetrahedra and corners with four equivalent O(9)LiTiFeSn trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Ti(2), one Fe(1), and one Sn(1) atom to form distorted OLiTiFeSn tetrahedra that share  a cornercorner with one O(6)LiTiFeSn tetrahedra, corners with two equivalent O(4)LiTi2Fe tetrahedra,  a cornercorner with one O(2)LiTi2Sn trigonal pyramid,  an edgeedge with one O(6)LiTiFeSn 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 Fe(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Ti(1), one Fe(2), and one Sn(2) atom to form distorted OLiTiFeSn trigonal pyramids that share  a cornercorner with one O(12)LiFe2Sn tetrahedra, corners with two equivalent O(5)LiTiFe2 tetrahedra,  a cornercorner with one O(9)LiTiFeSn trigonal pyramid,  an edgeedge with one O(12)LiFe2Sn tetrahedra, and  an edgeedge with one O(9)LiTiFeSn trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(1), and two equivalent Fe(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Fe(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn tetrahedra that share corners with two equivalent O(5)LiTiFe2 tetrahedra, corners with two equivalent O(9)LiTiFeSn trigonal pyramids, and edges with two equivalent O(9)LiTiFeSn trigonal pyramids.
Li4Ti3Fe3(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 Fe(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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. The Li(1)-O(12) bond length is 1.98 Å. The Li(1)-O(3) bond length is 2.06 Å. Both Li(1)-O(9) bond lengths are 2.02 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 1.83 Å. The Li(2)-O(7) bond length is 2.05 Å. Both Li(2)-O(11) bond lengths are 1.97 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 1.99 Å. Both Li(3)-O(1) bond lengths are 2.01 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 Fe(1)O6 octahedra, corners with two equivalent Fe(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 54-64°. The Li(4)-O(10) bond length is 2.06 Å. The Li(4)-O(2) bond length is 2.06 Å. Both Li(4)-O(6) bond lengths are 2.00 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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. The Ti(1)-O(10) bond length is 1.96 Å. The Ti(1)-O(5) bond length is 1.95 Å. Both Ti(1)-O(1) bond lengths are 2.05 Å. Both Ti(1)-O(9) bond lengths are 1.98 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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. The Ti(2)-O(11) bond length is 2.02 Å. The Ti(2)-O(2) bond length is 2.03 Å. The Ti(2)-O(3) bond length is 1.95 Å. The Ti(2)-O(4) bond length is 1.94 Å. The Ti(2)-O(6) bond length is 1.96 Å. The Ti(2)-O(7) bond length is 2.06 Å. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 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 55°. The Fe(1)-O(3) bond length is 2.14 Å. The Fe(1)-O(4) bond length is 2.11 Å. Both Fe(1)-O(11) bond lengths are 2.13 Å. Both Fe(1)-O(6) bond lengths are 2.14 Å. In the second Fe site, Fe(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 FeO6 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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. The Fe(2)-O(1) bond length is 2.08 Å. The Fe(2)-O(10) bond length is 2.04 Å. The Fe(2)-O(12) bond length is 2.03 Å. The Fe(2)-O(5) bond length is 2.01 Å. The Fe(2)-O(8) bond length is 2.05 Å. The Fe(2)-O(9) bond length is 2.10 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 Fe(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. The Sn(1)-O(2) bond length is 2.21 Å. The Sn(1)-O(8) bond length is 2.07 Å. Both Sn(1)-O(1) bond lengths are 2.09 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 Fe(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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. The Sn(2)-O(12) bond length is 2.13 Å. The Sn(2)-O(7) bond length is 2.14 Å. Both Sn(2)-O(11) bond lengths are 2.06 Å. Both Sn(2)-O(9) bond lengths are 2.17 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 Fe(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 corners with two equivalent O(4)LiTi2Fe tetrahedra, corners with two equivalent O(6)LiTiFeSn tetrahedra, and edges with two equivalent O(6)LiTiFeSn 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 Fe(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(2), and one Fe(1) atom to form distorted OLiTi2Fe tetrahedra that share corners with four equivalent O(6)LiTiFeSn 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 Fe(2) atoms to form OLiTiFe2 tetrahedra that share corners with two equivalent O(12)LiFe2Sn tetrahedra and corners with four equivalent O(9)LiTiFeSn trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Ti(2), one Fe(1), and one Sn(1) atom to form distorted OLiTiFeSn tetrahedra that share  a cornercorner with one O(6)LiTiFeSn tetrahedra, corners with two equivalent O(4)LiTi2Fe tetrahedra,  a cornercorner with one O(2)LiTi2Sn trigonal pyramid,  an edgeedge with one O(6)LiTiFeSn 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 Fe(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Ti(1), one Fe(2), and one Sn(2) atom to form distorted OLiTiFeSn trigonal pyramids that share  a cornercorner with one O(12)LiFe2Sn tetrahedra, corners with two equivalent O(5)LiTiFe2 tetrahedra,  a cornercorner with one O(9)LiTiFeSn trigonal pyramid,  an edgeedge with one O(12)LiFe2Sn tetrahedra, and  an edgeedge with one O(9)LiTiFeSn trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(1), and two equivalent Fe(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Fe(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn tetrahedra that share corners with two equivalent O(5)LiTiFe2 tetrahedra, corners with two equivalent O(9)LiTiFeSn trigonal pyramids, and edges with two equivalent O(9)LiTiFeSn trigonal pyramids.