Li4Cr3Mn3(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 Cr(1)O6 octahedra, corners with two equivalent Cr(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 57-61°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-66°. 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 Mn(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-64°. 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 Cr(2)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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) 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 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, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-54°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sn(2)O6 octahedra, edges with four equivalent Mn(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 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,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, edges with four equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. 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 Cr(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)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 Mn(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. 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 Cr(2), one Mn(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Cr(1), and one Sn(1) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(4)LiMnCr2 tetrahedra, corners with two equivalent O(6)LiMnCrSn tetrahedra,  a cornercorner with one O(10)LiMn2Cr trigonal pyramid, edges with two equivalent O(6)LiMnCrSn tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Mn(1) atom to form distorted OLiMnCr2 trigonal pyramids that share corners with two equivalent O(9)LiMnCrSn tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiCr2Sn tetrahedra, and edges with two equivalent O(6)LiMnCrSn tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Mn(1) atom to form distorted OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiCr2Sn tetrahedra, corners with four equivalent O(6)LiMnCrSn tetrahedra, and corners with three equivalent O(3)LiMnCr2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Mn(2) atoms to form OLiMn2Cr tetrahedra that share corners with four equivalent O(9)LiMnCrSn tetrahedra and corners with three equivalent O(10)LiMn2Cr trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Mn(1), and one Sn(1) atom to form distorted OLiMnCrSn tetrahedra that share  a cornercorner with one O(2)LiCr2Sn tetrahedra,  a cornercorner with one O(6)LiMnCrSn tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(10)LiMn2Cr trigonal pyramid,  an edgeedge with one O(2)LiCr2Sn tetrahedra,  an edgeedge with one O(6)LiMnCrSn tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Cr(1), 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 to one Li(1), one Cr(2), one Mn(2), and one Sn(2) atom to form distorted OLiMnCrSn tetrahedra that share  a cornercorner with one O(9)LiMnCrSn tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(9)LiMnCrSn tetrahedra, and  an edgeedge with one O(10)LiMn2Cr trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Mn(2) atoms to form distorted OLiMn2Cr trigonal pyramids that share  a cornercorner with one O(2)LiCr2Sn tetrahedra, corners with two equivalent O(6)LiMnCrSn tetrahedra, corners with three equivalent O(5)LiMn2Cr tetrahedra, and edges with two equivalent O(9)LiMnCrSn tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Mn(2), and one Sn(2) atom.
Li4Cr3Mn3(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 Cr(1)O6 octahedra, corners with two equivalent Cr(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 57-61°. The Li(1)-O(12) bond length is 1.96 Å. The Li(1)-O(3) bond length is 2.11 Å. Both Li(1)-O(9) bond lengths are 1.97 Å. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-66°. The Li(2)-O(5) bond length is 1.81 Å. The Li(2)-O(7) bond length is 1.93 Å. Both Li(2)-O(11) bond lengths are 1.95 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 Mn(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-64°. The Li(3)-O(4) bond length is 1.80 Å. The Li(3)-O(8) bond length is 1.95 Å. Both Li(3)-O(1) bond lengths are 1.95 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 Cr(2)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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. The Li(4)-O(10) bond length is 2.14 Å. The Li(4)-O(2) bond length is 1.93 Å. Both Li(4)-O(6) bond lengths are 1.99 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) 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 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, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-54°. The Cr(1)-O(11) bond length is 2.05 Å. The Cr(1)-O(2) bond length is 2.02 Å. The Cr(1)-O(3) bond length is 2.00 Å. The Cr(1)-O(4) bond length is 1.99 Å. The Cr(1)-O(6) bond length is 2.03 Å. The Cr(1)-O(7) bond length is 2.04 Å. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sn(2)O6 octahedra, edges with four equivalent Mn(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(10) bond length is 2.00 Å. The Cr(2)-O(5) bond length is 1.99 Å. Both Cr(2)-O(1) bond lengths are 2.05 Å. Both Cr(2)-O(9) bond lengths are 2.02 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,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, edges with four equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. The Mn(1)-O(3) bond length is 1.93 Å. The Mn(1)-O(4) bond length is 1.93 Å. Both Mn(1)-O(11) bond lengths are 2.00 Å. Both Mn(1)-O(6) bond lengths are 1.97 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. The Mn(2)-O(1) bond length is 1.99 Å. The Mn(2)-O(10) bond length is 1.96 Å. The Mn(2)-O(12) bond length is 2.06 Å. The Mn(2)-O(5) bond length is 1.95 Å. The Mn(2)-O(8) bond length is 2.06 Å. The Mn(2)-O(9) bond length is 1.96 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 Cr(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. The Sn(1)-O(2) bond length is 2.12 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 2.18 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 Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. The Sn(2)-O(12) bond length is 2.13 Å. The Sn(2)-O(7) bond length is 2.04 Å. Both Sn(2)-O(11) bond lengths are 2.09 Å. Both Sn(2)-O(9) bond lengths are 2.18 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 Cr(2), one Mn(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Cr(1), and one Sn(1) atom to form distorted OLiCr2Sn tetrahedra that share corners with two equivalent O(4)LiMnCr2 tetrahedra, corners with two equivalent O(6)LiMnCrSn tetrahedra,  a cornercorner with one O(10)LiMn2Cr trigonal pyramid, edges with two equivalent O(6)LiMnCrSn tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Mn(1) atom to form distorted OLiMnCr2 trigonal pyramids that share corners with two equivalent O(9)LiMnCrSn tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiCr2Sn tetrahedra, and edges with two equivalent O(6)LiMnCrSn tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Mn(1) atom to form distorted OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiCr2Sn tetrahedra, corners with four equivalent O(6)LiMnCrSn tetrahedra, and corners with three equivalent O(3)LiMnCr2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Mn(2) atoms to form OLiMn2Cr tetrahedra that share corners with four equivalent O(9)LiMnCrSn tetrahedra and corners with three equivalent O(10)LiMn2Cr trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Mn(1), and one Sn(1) atom to form distorted OLiMnCrSn tetrahedra that share  a cornercorner with one O(2)LiCr2Sn tetrahedra,  a cornercorner with one O(6)LiMnCrSn tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(10)LiMn2Cr trigonal pyramid,  an edgeedge with one O(2)LiCr2Sn tetrahedra,  an edgeedge with one O(6)LiMnCrSn tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Cr(1), 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 to one Li(1), one Cr(2), one Mn(2), and one Sn(2) atom to form distorted OLiMnCrSn tetrahedra that share  a cornercorner with one O(9)LiMnCrSn tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(9)LiMnCrSn tetrahedra, and  an edgeedge with one O(10)LiMn2Cr trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Mn(2) atoms to form distorted OLiMn2Cr trigonal pyramids that share  a cornercorner with one O(2)LiCr2Sn tetrahedra, corners with two equivalent O(6)LiMnCrSn tetrahedra, corners with three equivalent O(5)LiMn2Cr tetrahedra, and edges with two equivalent O(9)LiMnCrSn tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Mn(2), and one Sn(2) atom.