Li4Mn3Sn2Sb3O16 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 Sb(1)O6 octahedra, corners with two equivalent Sb(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 50-65°. 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 to one O(4), one O(8), and two equivalent O(1) atoms to form LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-68°. 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 Sb(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 Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. 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,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. 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 Mn(2)O6 octahedra, edges with two equivalent Sb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. 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 distorted SnO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. 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 Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are two inequivalent Sb sites. In the first Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 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 Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. 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 Mn(2), one Sn(1), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(4), one Sn(1), and two equivalent Sb(1) atoms to form distorted OLiSnSb2 trigonal pyramids that share corners with two equivalent O(4)LiMnSb2 tetrahedra, corners with two equivalent O(6)LiMnSnSb tetrahedra, and edges with two equivalent O(6)LiMnSnSb tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sb(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sb(1) atoms to form distorted OLiMnSb2 tetrahedra that share corners with four equivalent O(6)LiMnSnSb tetrahedra and corners with two equivalent O(2)LiSnSb2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sb(2) atom to form distorted corner-sharing OLiMn2Sb tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Mn(1), one Sn(1), and one Sb(1) atom to form distorted OLiMnSnSb tetrahedra that share  a cornercorner with one O(6)LiMnSnSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra,  a cornercorner with one O(2)LiSnSb2 trigonal pyramid,  an edgeedge with one O(6)LiMnSnSb tetrahedra, and  an edgeedge with one O(2)LiSnSb2 trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Sn(2), and two equivalent Sb(1) atoms. 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 rectangular see-saw-like geometry to one Li(1), one Mn(2), one Sn(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sb(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(1), one Sn(2), and one Sb(1) 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 distorted corner-sharing OLiMn2Sn tetrahedra.
Li4Mn3Sn2Sb3O16 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 Sb(1)O6 octahedra, corners with two equivalent Sb(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 50-65°. The Li(1)-O(12) bond length is 1.96 Å. The Li(1)-O(3) bond length is 2.16 Å. Both Li(1)-O(9) bond lengths are 2.11 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 1.82 Å. The Li(2)-O(7) bond length is 2.18 Å. Both Li(2)-O(11) bond lengths are 2.08 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 LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-68°. The Li(3)-O(4) bond length is 1.87 Å. The Li(3)-O(8) bond length is 1.94 Å. Both Li(3)-O(1) bond lengths are 2.06 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 Sb(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 Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. The Li(4)-O(10) bond length is 1.96 Å. The Li(4)-O(2) bond length is 2.33 Å. Both Li(4)-O(6) bond lengths are 2.08 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,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. The Mn(1)-O(3) bond length is 2.20 Å. The Mn(1)-O(4) bond length is 2.17 Å. Both Mn(1)-O(11) bond lengths are 2.21 Å. Both Mn(1)-O(6) bond lengths are 2.23 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 Mn(2)O6 octahedra, edges with two equivalent Sb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. The Mn(2)-O(1) bond length is 2.27 Å. The Mn(2)-O(10) bond length is 2.17 Å. The Mn(2)-O(12) bond length is 2.16 Å. The Mn(2)-O(5) bond length is 2.13 Å. The Mn(2)-O(8) bond length is 2.18 Å. The Mn(2)-O(9) bond length is 2.35 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 distorted SnO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. The Sn(1)-O(2) bond length is 2.38 Å. The Sn(1)-O(8) bond length is 1.99 Å. Both Sn(1)-O(1) bond lengths are 2.12 Å. Both Sn(1)-O(6) bond lengths are 2.23 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 Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. The Sn(2)-O(12) bond length is 2.02 Å. The Sn(2)-O(7) bond length is 2.44 Å. Both Sn(2)-O(11) bond lengths are 2.18 Å. Both Sn(2)-O(9) bond lengths are 2.16 Å. There are two inequivalent Sb sites. In the first Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. The Sb(1)-O(11) bond length is 2.07 Å. The Sb(1)-O(2) bond length is 2.11 Å. The Sb(1)-O(3) bond length is 2.07 Å. The Sb(1)-O(4) bond length is 2.07 Å. The Sb(1)-O(6) bond length is 2.02 Å. The Sb(1)-O(7) bond length is 2.11 Å. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 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 Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. The Sb(2)-O(10) bond length is 1.98 Å. The Sb(2)-O(5) bond length is 1.97 Å. Both Sb(2)-O(1) bond lengths are 2.11 Å. Both Sb(2)-O(9) bond lengths are 2.06 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 Mn(2), one Sn(1), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(4), one Sn(1), and two equivalent Sb(1) atoms to form distorted OLiSnSb2 trigonal pyramids that share corners with two equivalent O(4)LiMnSb2 tetrahedra, corners with two equivalent O(6)LiMnSnSb tetrahedra, and edges with two equivalent O(6)LiMnSnSb tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sb(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sb(1) atoms to form distorted OLiMnSb2 tetrahedra that share corners with four equivalent O(6)LiMnSnSb tetrahedra and corners with two equivalent O(2)LiSnSb2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sb(2) atom to form distorted corner-sharing OLiMn2Sb tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Mn(1), one Sn(1), and one Sb(1) atom to form distorted OLiMnSnSb tetrahedra that share  a cornercorner with one O(6)LiMnSnSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra,  a cornercorner with one O(2)LiSnSb2 trigonal pyramid,  an edgeedge with one O(6)LiMnSnSb tetrahedra, and  an edgeedge with one O(2)LiSnSb2 trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Sn(2), and two equivalent Sb(1) atoms. 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 rectangular see-saw-like geometry to one Li(1), one Mn(2), one Sn(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sb(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(1), one Sn(2), and one Sb(1) 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 distorted corner-sharing OLiMn2Sn tetrahedra.