LiMg4SnO8 is Spinel-derived structured and crystallizes in the hexagonal P6_3mc space group. Li(1) is bonded to one O(4) and three equivalent O(3) atoms to form distorted LiO4 trigonal pyramids that share corners with three equivalent Mg(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and edges with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-62°. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Mg(2)O4 tetrahedra,  a cornercorner with one Li(1)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, edges with four equivalent Mg(1)O6 octahedra, and  an edgeedge with one Li(1)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. In the second Mg site, Mg(2) is bonded to one O(2) and three equivalent O(1) atoms to form MgO4 tetrahedra that share corners with three equivalent Sn(1)O6 octahedra and corners with nine equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-59°. Sn(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form SnO6 octahedra that share corners with six equivalent Mg(1)O6 octahedra, corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent Li(1)O4 trigonal pyramids, and edges with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2), two equivalent Mg(1), and one Sn(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2) and three equivalent Mg(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Mg(1), and one Sn(1) atom. In the fourth O site, O(4) is bonded in a distorted tetrahedral geometry to one Li(1) and three equivalent Mg(1) atoms.
LiMg4SnO8 is Spinel-derived structured and crystallizes in the hexagonal P6_3mc space group. Li(1) is bonded to one O(4) and three equivalent O(3) atoms to form distorted LiO4 trigonal pyramids that share corners with three equivalent Mg(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and edges with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-62°. The Li(1)-O(4) bond length is 1.85 Å. All Li(1)-O(3) bond lengths are 2.00 Å. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Mg(2)O4 tetrahedra,  a cornercorner with one Li(1)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, edges with four equivalent Mg(1)O6 octahedra, and  an edgeedge with one Li(1)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. The Mg(1)-O(2) bond length is 2.04 Å. The Mg(1)-O(4) bond length is 2.04 Å. Both Mg(1)-O(1) bond lengths are 2.13 Å. Both Mg(1)-O(3) bond lengths are 2.11 Å. In the second Mg site, Mg(2) is bonded to one O(2) and three equivalent O(1) atoms to form MgO4 tetrahedra that share corners with three equivalent Sn(1)O6 octahedra and corners with nine equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-59°. The Mg(2)-O(2) bond length is 1.98 Å. All Mg(2)-O(1) bond lengths are 2.00 Å. Sn(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form SnO6 octahedra that share corners with six equivalent Mg(1)O6 octahedra, corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent Li(1)O4 trigonal pyramids, and edges with three equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. All Sn(1)-O(1) bond lengths are 2.14 Å. All Sn(1)-O(3) bond lengths are 2.08 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2), two equivalent Mg(1), and one Sn(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2) and three equivalent Mg(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Mg(1), and one Sn(1) atom. In the fourth O site, O(4) is bonded in a distorted tetrahedral geometry to one Li(1) and three equivalent Mg(1) atoms.