MgTi4Cd2O10 crystallizes in the monoclinic C2/m space group. Mg(1) is bonded to two equivalent O(3) and four equivalent O(1) atoms to form distorted MgO6 octahedra that share corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with four equivalent Cd(1)O5 trigonal bipyramids, edges with two equivalent Mg(1)O6 octahedra, and edges with four equivalent Ti(2)O5 trigonal bipyramids. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 4-coordinate geometry to one O(5), two equivalent O(2), and three equivalent O(4) atoms. In the second Ti site, Ti(2) is bonded to one O(1), one O(5), and three equivalent O(3) atoms to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Mg(1)O6 octahedra, corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with three equivalent Cd(1)O5 trigonal bipyramids, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Ti(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 60°. Cd(1) is bonded to one O(1), one O(2), one O(4), and two equivalent O(5) atoms to form CdO5 trigonal bipyramids that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Cd(1)O5 trigonal bipyramids, and corners with three equivalent Ti(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 64°. There are five inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Mg(1), one Ti(2), and one Cd(1) atom to form distorted OMg2TiCd trigonal pyramids that share corners with three equivalent O(3)MgTi3 tetrahedra, corners with four equivalent O(1)Mg2TiCd trigonal pyramids, edges with two equivalent O(3)MgTi3 tetrahedra, and  an edgeedge with one O(1)Mg2TiCd trigonal pyramid. In the second O site, O(2) is bonded in a distorted T-shaped geometry to two equivalent Ti(1) and one Cd(1) atom. In the third O site, O(3) is bonded to one Mg(1) and three equivalent Ti(2) atoms to form OMgTi3 tetrahedra that share corners with three equivalent O(3)MgTi3 tetrahedra, corners with three equivalent O(1)Mg2TiCd trigonal pyramids, edges with two equivalent O(3)MgTi3 tetrahedra, and edges with two equivalent O(1)Mg2TiCd trigonal pyramids. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to three equivalent Ti(1) and one Cd(1) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Ti(1), one Ti(2), and two equivalent Cd(1) atoms.
MgTi4Cd2O10 crystallizes in the monoclinic C2/m space group. Mg(1) is bonded to two equivalent O(3) and four equivalent O(1) atoms to form distorted MgO6 octahedra that share corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with four equivalent Cd(1)O5 trigonal bipyramids, edges with two equivalent Mg(1)O6 octahedra, and edges with four equivalent Ti(2)O5 trigonal bipyramids. Both Mg(1)-O(3) bond lengths are 2.01 Å. All Mg(1)-O(1) bond lengths are 2.24 Å. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 4-coordinate geometry to one O(5), two equivalent O(2), and three equivalent O(4) atoms. The Ti(1)-O(5) bond length is 2.79 Å. There is one shorter (1.91 Å) and one longer (1.92 Å) Ti(1)-O(2) bond length. There are two shorter (1.95 Å) and one longer (2.47 Å) Ti(1)-O(4) bond length. In the second Ti site, Ti(2) is bonded to one O(1), one O(5), and three equivalent O(3) atoms to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Mg(1)O6 octahedra, corners with two equivalent Ti(2)O5 trigonal bipyramids, corners with three equivalent Cd(1)O5 trigonal bipyramids, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Ti(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 60°. The Ti(2)-O(1) bond length is 1.88 Å. The Ti(2)-O(5) bond length is 1.82 Å. There are two shorter (1.98 Å) and one longer (2.09 Å) Ti(2)-O(3) bond length. Cd(1) is bonded to one O(1), one O(2), one O(4), and two equivalent O(5) atoms to form CdO5 trigonal bipyramids that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Cd(1)O5 trigonal bipyramids, and corners with three equivalent Ti(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 64°. The Cd(1)-O(1) bond length is 2.23 Å. The Cd(1)-O(2) bond length is 2.21 Å. The Cd(1)-O(4) bond length is 2.44 Å. Both Cd(1)-O(5) bond lengths are 2.28 Å. There are five inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Mg(1), one Ti(2), and one Cd(1) atom to form distorted OMg2TiCd trigonal pyramids that share corners with three equivalent O(3)MgTi3 tetrahedra, corners with four equivalent O(1)Mg2TiCd trigonal pyramids, edges with two equivalent O(3)MgTi3 tetrahedra, and  an edgeedge with one O(1)Mg2TiCd trigonal pyramid. In the second O site, O(2) is bonded in a distorted T-shaped geometry to two equivalent Ti(1) and one Cd(1) atom. In the third O site, O(3) is bonded to one Mg(1) and three equivalent Ti(2) atoms to form OMgTi3 tetrahedra that share corners with three equivalent O(3)MgTi3 tetrahedra, corners with three equivalent O(1)Mg2TiCd trigonal pyramids, edges with two equivalent O(3)MgTi3 tetrahedra, and edges with two equivalent O(1)Mg2TiCd trigonal pyramids. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to three equivalent Ti(1) and one Cd(1) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Ti(1), one Ti(2), and two equivalent Cd(1) atoms.