Li4Ti3Cr3(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 Cr(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 Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. 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 to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-63°. 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 Cr(1)O6 octahedra, corners with two equivalent Cr(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 55-62°. 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, edges with four equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. 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,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CrO6 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,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. In the second Cr site, Cr(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 CrO6 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, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 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 Cr(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. 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 Cr(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 Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. 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 Cr(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 tetrahedra that share corners with two equivalent O(4)LiTi2Cr tetrahedra, corners with two equivalent O(6)LiTiCrSn tetrahedra, edges with two equivalent O(6)LiTiCrSn tetrahedra, and  an edgeedge with one O(3)LiTi2Cr trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Ti(2), and one Cr(1) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(12)LiCr2Sn tetrahedra, corners with three equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(2)LiTi2Sn tetrahedra, and edges with two equivalent O(6)LiTiCrSn tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(2), and one Cr(1) atom to form distorted OLiTi2Cr tetrahedra that share corners with two equivalent O(2)LiTi2Sn tetrahedra, corners with four equivalent O(6)LiTiCrSn tetrahedra, and corners with three equivalent O(3)LiTi2Cr trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(1), and two equivalent Cr(2) atoms to form distorted corner-sharing OLiTiCr2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Ti(2), one Cr(1), and one Sn(1) atom to form distorted OLiTiCrSn tetrahedra that share  a cornercorner with one O(2)LiTi2Sn tetrahedra,  a cornercorner with one O(6)LiTiCrSn tetrahedra, corners with two equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(2)LiTi2Sn tetrahedra,  an edgeedge with one O(6)LiTiCrSn tetrahedra, and  an edgeedge with one O(3)LiTi2Cr 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 Cr(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 Cr(2), and one Sn(2) atom. 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 Cr(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 Cr(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Sn(2) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(5)LiTiCr2 tetrahedra and  a cornercorner with one O(3)LiTi2Cr trigonal pyramid.
Li4Ti3Cr3(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 Cr(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 Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. The Li(1)-O(12) bond length is 1.97 Å. The Li(1)-O(3) bond length is 2.08 Å. Both Li(1)-O(9) bond lengths are 1.98 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 1.80 Å. The Li(2)-O(7) bond length is 2.01 Å. Both Li(2)-O(11) bond lengths are 1.97 Å. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-63°. The Li(3)-O(4) bond length is 1.82 Å. The Li(3)-O(8) bond length is 1.93 Å. Both Li(3)-O(1) bond lengths are 1.98 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 Cr(1)O6 octahedra, corners with two equivalent Cr(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 55-62°. The Li(4)-O(10) bond length is 2.06 Å. The Li(4)-O(2) bond length is 1.99 Å. Both Li(4)-O(6) bond lengths are 1.99 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, edges with four equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. The Ti(1)-O(10) bond length is 1.95 Å. The Ti(1)-O(5) bond length is 1.96 Å. Both Ti(1)-O(1) bond lengths are 2.02 Å. Both Ti(1)-O(9) bond lengths are 1.99 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,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. The Ti(2)-O(11) bond length is 2.03 Å. The Ti(2)-O(2) bond length is 2.02 Å. The Ti(2)-O(3) bond length is 1.99 Å. The Ti(2)-O(4) bond length is 1.99 Å. The Ti(2)-O(6) bond length is 2.00 Å. The Ti(2)-O(7) bond length is 2.06 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CrO6 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,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. The Cr(1)-O(3) bond length is 2.02 Å. The Cr(1)-O(4) bond length is 1.99 Å. Both Cr(1)-O(11) bond lengths are 2.06 Å. Both Cr(1)-O(6) bond lengths are 2.04 Å. In the second Cr site, Cr(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 CrO6 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, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. The Cr(2)-O(1) bond length is 2.06 Å. The Cr(2)-O(10) bond length is 2.02 Å. The Cr(2)-O(12) bond length is 2.03 Å. The Cr(2)-O(5) bond length is 1.99 Å. The Cr(2)-O(8) bond length is 2.04 Å. The Cr(2)-O(9) bond length is 2.05 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 Cr(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. The Sn(1)-O(2) bond length is 2.18 Å. The Sn(1)-O(8) bond length is 2.05 Å. Both Sn(1)-O(1) bond lengths are 2.08 Å. Both Sn(1)-O(6) bond lengths are 2.16 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 Cr(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 Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. The Sn(2)-O(12) bond length is 2.12 Å. The Sn(2)-O(7) bond length is 2.10 Å. Both Sn(2)-O(11) bond lengths are 2.09 Å. Both Sn(2)-O(9) bond lengths are 2.16 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 Cr(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 tetrahedra that share corners with two equivalent O(4)LiTi2Cr tetrahedra, corners with two equivalent O(6)LiTiCrSn tetrahedra, edges with two equivalent O(6)LiTiCrSn tetrahedra, and  an edgeedge with one O(3)LiTi2Cr trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Ti(2), and one Cr(1) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(12)LiCr2Sn tetrahedra, corners with three equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(2)LiTi2Sn tetrahedra, and edges with two equivalent O(6)LiTiCrSn tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(2), and one Cr(1) atom to form distorted OLiTi2Cr tetrahedra that share corners with two equivalent O(2)LiTi2Sn tetrahedra, corners with four equivalent O(6)LiTiCrSn tetrahedra, and corners with three equivalent O(3)LiTi2Cr trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(1), and two equivalent Cr(2) atoms to form distorted corner-sharing OLiTiCr2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Ti(2), one Cr(1), and one Sn(1) atom to form distorted OLiTiCrSn tetrahedra that share  a cornercorner with one O(2)LiTi2Sn tetrahedra,  a cornercorner with one O(6)LiTiCrSn tetrahedra, corners with two equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(2)LiTi2Sn tetrahedra,  an edgeedge with one O(6)LiTiCrSn tetrahedra, and  an edgeedge with one O(3)LiTi2Cr 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 Cr(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 Cr(2), and one Sn(2) atom. 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 Cr(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 Cr(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Sn(2) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(5)LiTiCr2 tetrahedra and  a cornercorner with one O(3)LiTi2Cr trigonal pyramid.