MgTi3(SnO4)3 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(2), one O(4), one O(6), and one O(9) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Sn(2)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(3)O6 octahedra,  an edgeedge with one Sn(1)O5 trigonal bipyramid, and edges with two equivalent Ti(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 62°. 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), and one O(9) atom to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Sn(1)O5 trigonal bipyramids,  an edgeedge with one Ti(3)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 60°. 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 corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Sn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 35-63°. 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 distorted TiO6 octahedra that share corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with three equivalent Sn(1)O5 trigonal bipyramids,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Ti(1)O5 trigonal bipyramid. 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(8), and one O(9) atom to form distorted SnO5 trigonal bipyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with two equivalent Ti(1)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Ti(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 44-60°. 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  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  a cornercorner with one Sn(1)O5 trigonal bipyramid, corners with three equivalent Ti(2)O5 trigonal bipyramids, and  an edgeedge with one Ti(3)O6 octahedra. In the third Sn site, Sn(3) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(2), one O(3), and one O(9) atom. 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 in a 4-coordinate geometry to one Mg(1), one Ti(1), one Sn(1), and one Sn(3) atom. In the third O site, O(3) is bonded in a 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 distorted trigonal non-coplanar geometry to one Mg(1), one Ti(1), and one Sn(2) atom. In the fifth O site, O(5) is bonded in a water-like geometry to one Ti(1) and one Ti(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Ti(1), and one Ti(3) atom. In the seventh O site, O(7) is bonded in a distorted bent 150 degrees geometry to one Ti(2) and one Sn(2) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Ti(3), one Sn(1), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal pyramidal geometry to one Mg(1), one Ti(1), one Sn(1), and one Sn(3) atom. In the tenth O site, O(10) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ti(2), one Ti(3), and one Sn(1) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Ti(2), one Sn(2), and one Sn(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Ti(2), one Ti(3), and one Sn(1) atom.
MgTi3(SnO4)3 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(2), one O(4), one O(6), and one O(9) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Sn(2)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(3)O6 octahedra,  an edgeedge with one Sn(1)O5 trigonal bipyramid, and edges with two equivalent Ti(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 62°. The Mg(1)-O(10) bond length is 2.15 Å. The Mg(1)-O(2) bond length is 2.05 Å. The Mg(1)-O(4) bond length is 2.05 Å. The Mg(1)-O(6) bond length is 2.03 Å. The Mg(1)-O(9) bond length is 2.13 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), and one O(9) atom to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Sn(1)O5 trigonal bipyramids,  an edgeedge with one Ti(3)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 60°. The Ti(1)-O(2) bond length is 2.04 Å. The Ti(1)-O(4) bond length is 1.97 Å. The Ti(1)-O(5) bond length is 1.80 Å. The Ti(1)-O(6) bond length is 1.91 Å. The Ti(1)-O(9) bond length is 2.01 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 corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Sn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 35-63°. The Ti(2)-O(1) bond length is 1.90 Å. The Ti(2)-O(10) bond length is 2.05 Å. The Ti(2)-O(11) bond length is 1.91 Å. The Ti(2)-O(12) bond length is 2.11 Å. The Ti(2)-O(7) bond length is 1.82 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 distorted TiO6 octahedra that share corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with three equivalent Sn(1)O5 trigonal bipyramids,  an edgeedge with one Sn(2)O6 octahedra,  an edgeedge with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Ti(1)O5 trigonal bipyramid. The Ti(3)-O(10) bond length is 2.44 Å. The Ti(3)-O(12) bond length is 1.87 Å. The Ti(3)-O(3) bond length is 1.89 Å. The Ti(3)-O(5) bond length is 1.92 Å. The Ti(3)-O(6) bond length is 1.98 Å. The Ti(3)-O(8) bond length is 2.05 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(8), and one O(9) atom to form distorted SnO5 trigonal bipyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with two equivalent Ti(1)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Ti(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 44-60°. The Sn(1)-O(10) bond length is 2.10 Å. The Sn(1)-O(12) bond length is 2.08 Å. The Sn(1)-O(2) bond length is 2.03 Å. The Sn(1)-O(8) bond length is 2.00 Å. The Sn(1)-O(9) bond length is 2.08 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  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  a cornercorner with one Sn(1)O5 trigonal bipyramid, corners with three equivalent Ti(2)O5 trigonal bipyramids, and  an edgeedge with one Ti(3)O6 octahedra. The Sn(2)-O(1) bond length is 2.11 Å. The Sn(2)-O(11) bond length is 2.08 Å. The Sn(2)-O(3) bond length is 2.10 Å. The Sn(2)-O(4) bond length is 2.07 Å. The Sn(2)-O(7) bond length is 2.08 Å. The Sn(2)-O(8) bond length is 2.13 Å. In the third Sn site, Sn(3) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(2), one O(3), and one O(9) atom. The Sn(3)-O(1) bond length is 2.32 Å. The Sn(3)-O(11) bond length is 2.23 Å. The Sn(3)-O(2) bond length is 2.63 Å. The Sn(3)-O(3) bond length is 2.18 Å. The Sn(3)-O(9) bond length is 2.49 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 in a 4-coordinate geometry to one Mg(1), one Ti(1), one Sn(1), and one Sn(3) atom. In the third O site, O(3) is bonded in a 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 distorted trigonal non-coplanar geometry to one Mg(1), one Ti(1), and one Sn(2) atom. In the fifth O site, O(5) is bonded in a water-like geometry to one Ti(1) and one Ti(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Ti(1), and one Ti(3) atom. In the seventh O site, O(7) is bonded in a distorted bent 150 degrees geometry to one Ti(2) and one Sn(2) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Ti(3), one Sn(1), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal pyramidal geometry to one Mg(1), one Ti(1), one Sn(1), and one Sn(3) atom. In the tenth O site, O(10) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ti(2), one Ti(3), and one Sn(1) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Ti(2), one Sn(2), and one Sn(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Ti(2), one Ti(3), and one Sn(1) atom.