MgTi3(SnO4)3 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(11), one O(12), one O(2), one O(5), and one O(8) atom to form MgO6 octahedra that share corners with two equivalent Sn(3)O6 octahedra,  a cornercorner with one Ti(2)O5 trigonal bipyramid,  a cornercorner with one Sn(1)O5 trigonal bipyramid,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(2)O5 trigonal bipyramid, and  an edgeedge with one Sn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 51-58°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form TiO6 octahedra that share corners with three equivalent Sn(3)O6 octahedra,  a cornercorner with one Ti(2)O5 trigonal bipyramid, corners with three equivalent Sn(1)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-58°. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(11), one O(12), and one O(7) atom to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, and  an edgeedge with one Sn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 35-60°. In the third Ti site, Ti(3) is bonded to one O(10), one O(12), one O(3), one O(5), one O(6), and one O(8) atom to form TiO6 octahedra that share corners with two equivalent Sn(3)O6 octahedra, corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with two equivalent Sn(1)O5 trigonal bipyramids,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-46°. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(10), one O(12), one O(2), one O(4), and one O(9) atom to form distorted SnO5 trigonal bipyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, and  an edgeedge with one Ti(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 48-60°. In the second Sn site, Sn(2) is bonded to one O(1), one O(11), one O(3), one O(4), one O(7), and one O(8) atom to form SnO6 octahedra that share corners with three equivalent Sn(3)O6 octahedra,  a cornercorner with one Sn(1)O5 trigonal bipyramid, corners with three equivalent Ti(2)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, and  an edgeedge with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-68°. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(2), one O(3), one O(6), and one O(9) atom to form distorted SnO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Ti(2)O5 trigonal bipyramid, and  an edgeedge with one Sn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 42-68°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Ti(2), one Sn(2), and one Sn(3) atom. In the second O site, O(2) is bonded to one Mg(1), one Ti(1), one Sn(1), and one Sn(3) atom to form distorted OMgTiSn2 trigonal pyramids that share corners with two equivalent O(10)MgTi2Sn trigonal pyramids, corners with two equivalent O(11)MgTiSn2 trigonal pyramids, and  an edgeedge with one O(12)MgTi2Sn trigonal pyramid. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Ti(3), one Sn(2), and one Sn(3) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Ti(1), one Sn(1), and one Sn(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Ti(1), and one Ti(3) atom. In the sixth O site, O(6) is bonded in a distorted water-like geometry to one Ti(1), one Ti(3), and one Sn(3) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ti(1), one Ti(2), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Ti(3), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Ti(1), one Sn(1), and one Sn(3) atom. In the tenth O site, O(10) is bonded to one Mg(1), one Ti(2), one Ti(3), and one Sn(1) atom to form OMgTi2Sn trigonal pyramids that share corners with two equivalent O(12)MgTi2Sn trigonal pyramids, corners with two equivalent O(2)MgTiSn2 trigonal pyramids,  an edgeedge with one O(12)MgTi2Sn trigonal pyramid, and  an edgeedge with one O(11)MgTiSn2 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Mg(1), one Ti(2), one Sn(2), and one Sn(3) atom to form distorted OMgTiSn2 trigonal pyramids that share corners with two equivalent O(12)MgTi2Sn trigonal pyramids, corners with two equivalent O(2)MgTiSn2 trigonal pyramids, and  an edgeedge with one O(10)MgTi2Sn trigonal pyramid. In the twelfth O site, O(12) is bonded to one Mg(1), one Ti(2), one Ti(3), and one Sn(1) atom to form OMgTi2Sn trigonal pyramids that share corners with two equivalent O(10)MgTi2Sn trigonal pyramids, corners with two equivalent O(11)MgTiSn2 trigonal pyramids,  an edgeedge with one O(10)MgTi2Sn trigonal pyramid, and  an edgeedge with one O(2)MgTiSn2 trigonal pyramid.
MgTi3(SnO4)3 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(11), one O(12), one O(2), one O(5), and one O(8) atom to form MgO6 octahedra that share corners with two equivalent Sn(3)O6 octahedra,  a cornercorner with one Ti(2)O5 trigonal bipyramid,  a cornercorner with one Sn(1)O5 trigonal bipyramid,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(2)O5 trigonal bipyramid, and  an edgeedge with one Sn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 51-58°. The Mg(1)-O(10) bond length is 2.12 Å. The Mg(1)-O(11) bond length is 2.16 Å. The Mg(1)-O(12) bond length is 2.26 Å. The Mg(1)-O(2) bond length is 2.14 Å. The Mg(1)-O(5) bond length is 2.00 Å. The Mg(1)-O(8) bond length is 1.99 Å. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form TiO6 octahedra that share corners with three equivalent Sn(3)O6 octahedra,  a cornercorner with one Ti(2)O5 trigonal bipyramid, corners with three equivalent Sn(1)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-58°. The Ti(1)-O(2) bond length is 2.11 Å. The Ti(1)-O(4) bond length is 2.26 Å. The Ti(1)-O(5) bond length is 1.87 Å. The Ti(1)-O(6) bond length is 1.84 Å. The Ti(1)-O(7) bond length is 2.25 Å. The Ti(1)-O(9) bond length is 1.90 Å. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(11), one O(12), and one O(7) atom to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, and  an edgeedge with one Sn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 35-60°. The Ti(2)-O(1) bond length is 1.83 Å. The Ti(2)-O(10) bond length is 2.09 Å. The Ti(2)-O(11) bond length is 1.96 Å. The Ti(2)-O(12) bond length is 2.05 Å. The Ti(2)-O(7) bond length is 1.84 Å. In the third Ti site, Ti(3) is bonded to one O(10), one O(12), one O(3), one O(5), one O(6), and one O(8) atom to form TiO6 octahedra that share corners with two equivalent Sn(3)O6 octahedra, corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with two equivalent Sn(1)O5 trigonal bipyramids,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-46°. The Ti(3)-O(10) bond length is 2.21 Å. The Ti(3)-O(12) bond length is 2.08 Å. The Ti(3)-O(3) bond length is 1.96 Å. The Ti(3)-O(5) bond length is 2.01 Å. The Ti(3)-O(6) bond length is 1.94 Å. The Ti(3)-O(8) bond length is 1.93 Å. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(10), one O(12), one O(2), one O(4), and one O(9) atom to form distorted SnO5 trigonal bipyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Sn(3)O6 octahedra, and  an edgeedge with one Ti(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 48-60°. The Sn(1)-O(10) bond length is 2.05 Å. The Sn(1)-O(12) bond length is 2.13 Å. The Sn(1)-O(2) bond length is 2.06 Å. The Sn(1)-O(4) bond length is 2.01 Å. The Sn(1)-O(9) bond length is 2.04 Å. In the second Sn site, Sn(2) is bonded to one O(1), one O(11), one O(3), one O(4), one O(7), and one O(8) atom to form SnO6 octahedra that share corners with three equivalent Sn(3)O6 octahedra,  a cornercorner with one Sn(1)O5 trigonal bipyramid, corners with three equivalent Ti(2)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, and  an edgeedge with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-68°. The Sn(2)-O(1) bond length is 2.08 Å. The Sn(2)-O(11) bond length is 2.14 Å. The Sn(2)-O(3) bond length is 2.11 Å. The Sn(2)-O(4) bond length is 2.08 Å. The Sn(2)-O(7) bond length is 2.18 Å. The Sn(2)-O(8) bond length is 2.09 Å. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(2), one O(3), one O(6), and one O(9) atom to form distorted SnO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  an edgeedge with one Ti(2)O5 trigonal bipyramid, and  an edgeedge with one Sn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 42-68°. The Sn(3)-O(1) bond length is 2.36 Å. The Sn(3)-O(11) bond length is 2.36 Å. The Sn(3)-O(2) bond length is 2.38 Å. The Sn(3)-O(3) bond length is 2.29 Å. The Sn(3)-O(6) bond length is 2.73 Å. The Sn(3)-O(9) bond length is 2.32 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Ti(2), one Sn(2), and one Sn(3) atom. In the second O site, O(2) is bonded to one Mg(1), one Ti(1), one Sn(1), and one Sn(3) atom to form distorted OMgTiSn2 trigonal pyramids that share corners with two equivalent O(10)MgTi2Sn trigonal pyramids, corners with two equivalent O(11)MgTiSn2 trigonal pyramids, and  an edgeedge with one O(12)MgTi2Sn trigonal pyramid. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Ti(3), one Sn(2), and one Sn(3) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Ti(1), one Sn(1), and one Sn(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Ti(1), and one Ti(3) atom. In the sixth O site, O(6) is bonded in a distorted water-like geometry to one Ti(1), one Ti(3), and one Sn(3) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ti(1), one Ti(2), and one Sn(2) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Ti(3), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Ti(1), one Sn(1), and one Sn(3) atom. In the tenth O site, O(10) is bonded to one Mg(1), one Ti(2), one Ti(3), and one Sn(1) atom to form OMgTi2Sn trigonal pyramids that share corners with two equivalent O(12)MgTi2Sn trigonal pyramids, corners with two equivalent O(2)MgTiSn2 trigonal pyramids,  an edgeedge with one O(12)MgTi2Sn trigonal pyramid, and  an edgeedge with one O(11)MgTiSn2 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Mg(1), one Ti(2), one Sn(2), and one Sn(3) atom to form distorted OMgTiSn2 trigonal pyramids that share corners with two equivalent O(12)MgTi2Sn trigonal pyramids, corners with two equivalent O(2)MgTiSn2 trigonal pyramids, and  an edgeedge with one O(10)MgTi2Sn trigonal pyramid. In the twelfth O site, O(12) is bonded to one Mg(1), one Ti(2), one Ti(3), and one Sn(1) atom to form OMgTi2Sn trigonal pyramids that share corners with two equivalent O(10)MgTi2Sn trigonal pyramids, corners with two equivalent O(11)MgTiSn2 trigonal pyramids,  an edgeedge with one O(10)MgTi2Sn trigonal pyramid, and  an edgeedge with one O(2)MgTiSn2 trigonal pyramid.