In15SnO24 is Spinel-like structured and crystallizes in the trigonal R-3 space group. There are three inequivalent In sites. In the first In site, In(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form distorted InO6 octahedra that share corners with two equivalent In(1)O6 octahedra, corners with two equivalent In(2)O6 octahedra, corners with two equivalent In(3)O6 octahedra,  an edgeedge with one In(3)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent In(1)O6 octahedra, and edges with two equivalent In(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. In the second In site, In(2) is bonded to one O(1), one O(3), one O(4), and three equivalent O(2) atoms to form distorted InO6 octahedra that share  a cornercorner with one In(3)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent In(1)O6 octahedra, corners with two equivalent In(2)O6 octahedra, edges with two equivalent In(1)O6 octahedra, edges with two equivalent In(2)O6 octahedra, and edges with two equivalent In(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-58°. In the third In site, In(3) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing InO6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. Sn(1) is bonded to six equivalent O(1) atoms to form SnO6 octahedra that share corners with six equivalent In(2)O6 octahedra and edges with six equivalent In(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are four inequivalent O sites. In the first O site, O(1) is bonded to one In(2), two equivalent In(1), and one Sn(1) atom to form OIn3Sn trigonal pyramids that share corners with three equivalent O(1)In3Sn trigonal pyramids, corners with three equivalent O(2)In4 trigonal pyramids, corners with three equivalent O(3)In4 trigonal pyramids, corners with three equivalent O(4)In4 trigonal pyramids,  an edgeedge with one O(3)In4 trigonal pyramid,  an edgeedge with one O(4)In4 trigonal pyramid, and edges with two equivalent O(1)In3Sn trigonal pyramids. In the second O site, O(2) is bonded to one In(3) and three equivalent In(2) atoms to form OIn4 trigonal pyramids that share corners with three equivalent O(1)In3Sn trigonal pyramids, corners with three equivalent O(2)In4 trigonal pyramids, corners with three equivalent O(3)In4 trigonal pyramids, corners with three equivalent O(4)In4 trigonal pyramids,  an edgeedge with one O(3)In4 trigonal pyramid,  an edgeedge with one O(4)In4 trigonal pyramid, and edges with two equivalent O(2)In4 trigonal pyramids. In the third O site, O(3) is bonded to one In(2), one In(3), and two equivalent In(1) atoms to form OIn4 trigonal pyramids that share corners with three equivalent O(1)In3Sn trigonal pyramids, corners with three equivalent O(2)In4 trigonal pyramids, corners with three equivalent O(3)In4 trigonal pyramids, corners with three equivalent O(4)In4 trigonal pyramids,  an edgeedge with one O(1)In3Sn trigonal pyramid,  an edgeedge with one O(2)In4 trigonal pyramid, and edges with two equivalent O(4)In4 trigonal pyramids. In the fourth O site, O(4) is bonded to one In(2), one In(3), and two equivalent In(1) atoms to form OIn4 trigonal pyramids that share corners with three equivalent O(1)In3Sn trigonal pyramids, corners with three equivalent O(2)In4 trigonal pyramids, corners with three equivalent O(3)In4 trigonal pyramids, corners with three equivalent O(4)In4 trigonal pyramids,  an edgeedge with one O(1)In3Sn trigonal pyramid,  an edgeedge with one O(2)In4 trigonal pyramid, and edges with two equivalent O(3)In4 trigonal pyramids.
In15SnO24 is Spinel-like structured and crystallizes in the trigonal R-3 space group. There are three inequivalent In sites. In the first In site, In(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form distorted InO6 octahedra that share corners with two equivalent In(1)O6 octahedra, corners with two equivalent In(2)O6 octahedra, corners with two equivalent In(3)O6 octahedra,  an edgeedge with one In(3)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent In(1)O6 octahedra, and edges with two equivalent In(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. There is one shorter (2.26 Å) and one longer (2.27 Å) In(1)-O(1) bond length. There is one shorter (2.13 Å) and one longer (2.22 Å) In(1)-O(3) bond length. There is one shorter (2.14 Å) and one longer (2.20 Å) In(1)-O(4) bond length. In the second In site, In(2) is bonded to one O(1), one O(3), one O(4), and three equivalent O(2) atoms to form distorted InO6 octahedra that share  a cornercorner with one In(3)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent In(1)O6 octahedra, corners with two equivalent In(2)O6 octahedra, edges with two equivalent In(1)O6 octahedra, edges with two equivalent In(2)O6 octahedra, and edges with two equivalent In(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-58°. The In(2)-O(1) bond length is 2.17 Å. The In(2)-O(3) bond length is 2.23 Å. The In(2)-O(4) bond length is 2.22 Å. There are a spread of In(2)-O(2) bond distances ranging from 2.13-2.24 Å. In the third In site, In(3) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing InO6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. Both In(3)-O(2) bond lengths are 2.18 Å. Both In(3)-O(3) bond lengths are 2.21 Å. Both In(3)-O(4) bond lengths are 2.20 Å. Sn(1) is bonded to six equivalent O(1) atoms to form SnO6 octahedra that share corners with six equivalent In(2)O6 octahedra and edges with six equivalent In(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. All Sn(1)-O(1) bond lengths are 2.10 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded to one In(2), two equivalent In(1), and one Sn(1) atom to form OIn3Sn trigonal pyramids that share corners with three equivalent O(1)In3Sn trigonal pyramids, corners with three equivalent O(2)In4 trigonal pyramids, corners with three equivalent O(3)In4 trigonal pyramids, corners with three equivalent O(4)In4 trigonal pyramids,  an edgeedge with one O(3)In4 trigonal pyramid,  an edgeedge with one O(4)In4 trigonal pyramid, and edges with two equivalent O(1)In3Sn trigonal pyramids. In the second O site, O(2) is bonded to one In(3) and three equivalent In(2) atoms to form OIn4 trigonal pyramids that share corners with three equivalent O(1)In3Sn trigonal pyramids, corners with three equivalent O(2)In4 trigonal pyramids, corners with three equivalent O(3)In4 trigonal pyramids, corners with three equivalent O(4)In4 trigonal pyramids,  an edgeedge with one O(3)In4 trigonal pyramid,  an edgeedge with one O(4)In4 trigonal pyramid, and edges with two equivalent O(2)In4 trigonal pyramids. In the third O site, O(3) is bonded to one In(2), one In(3), and two equivalent In(1) atoms to form OIn4 trigonal pyramids that share corners with three equivalent O(1)In3Sn trigonal pyramids, corners with three equivalent O(2)In4 trigonal pyramids, corners with three equivalent O(3)In4 trigonal pyramids, corners with three equivalent O(4)In4 trigonal pyramids,  an edgeedge with one O(1)In3Sn trigonal pyramid,  an edgeedge with one O(2)In4 trigonal pyramid, and edges with two equivalent O(4)In4 trigonal pyramids. In the fourth O site, O(4) is bonded to one In(2), one In(3), and two equivalent In(1) atoms to form OIn4 trigonal pyramids that share corners with three equivalent O(1)In3Sn trigonal pyramids, corners with three equivalent O(2)In4 trigonal pyramids, corners with three equivalent O(3)In4 trigonal pyramids, corners with three equivalent O(4)In4 trigonal pyramids,  an edgeedge with one O(1)In3Sn trigonal pyramid,  an edgeedge with one O(2)In4 trigonal pyramid, and edges with two equivalent O(3)In4 trigonal pyramids.