MgYb4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(10), one O(4), and one O(9) atom to form distorted MgO4 tetrahedra that share  a cornercorner with one Yb(2)O6 octahedra, corners with two equivalent Yb(1)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra, and  an edgeedge with one Yb(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 33-76°. There are four inequivalent Yb sites. In the first Yb site, Yb(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form distorted YbO6 octahedra that share  a cornercorner with one Yb(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Yb(2)O6 octahedra, and  an edgeedge with one Yb(4)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. In the second Yb site, Yb(2) is bonded to one O(10), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form distorted YbO6 octahedra that share  a cornercorner with one Yb(1)O6 octahedra,  a cornercorner with one Yb(4)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra,  an edgeedge with one Yb(1)O6 octahedra, and edges with two equivalent Yb(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-38°. In the third Yb site, Yb(3) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(6), one O(7), and one O(8) atom. In the fourth Yb site, Yb(4) is bonded to one O(10), one O(2), one O(5), one O(6), one O(7), and one O(9) atom to form distorted YbO6 octahedra that share  a cornercorner with one Yb(2)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Yb(1)O6 octahedra, edges with two equivalent Yb(2)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(10), one O(2), one O(3), one O(6), one O(7), and one O(8) atom. In the second Ti site, Ti(2) is bonded to one O(1), one O(5), one O(8), and one O(9) atom to form TiO4 tetrahedra that share  a cornercorner with one Yb(2)O6 octahedra, corners with two equivalent Yb(1)O6 octahedra, corners with two equivalent Yb(4)O6 octahedra, and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 42-67°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Mg(1), one Yb(1), and one Ti(2) atom. In the second O site, O(2) is bonded to one Yb(1), one Yb(2), one Yb(3), one Yb(4), and one Ti(1) atom to form distorted OYb4Ti square pyramids that share  a cornercorner with one O(7)Yb4Ti square pyramid, corners with two equivalent O(6)Yb3Ti tetrahedra, edges with two equivalent O(7)Yb4Ti square pyramids,  an edgeedge with one O(6)Yb3Ti tetrahedra, and edges with two equivalent O(3)Yb3Ti tetrahedra. In the third O site, O(3) is bonded to one Yb(1), one Yb(2), one Yb(3), and one Ti(1) atom to form distorted OYb3Ti tetrahedra that share corners with two equivalent O(7)Yb4Ti square pyramids,  a cornercorner with one O(6)Yb3Ti tetrahedra,  an edgeedge with one O(7)Yb4Ti square pyramid, edges with two equivalent O(2)Yb4Ti square pyramids, and  an edgeedge with one O(6)Yb3Ti tetrahedra. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Yb(1), and one Yb(3) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Yb(2), one Yb(4), and one Ti(2) atom. In the sixth O site, O(6) is bonded to one Yb(2), one Yb(3), one Yb(4), and one Ti(1) atom to form distorted OYb3Ti tetrahedra that share corners with two equivalent O(2)Yb4Ti square pyramids,  a cornercorner with one O(3)Yb3Ti tetrahedra,  an edgeedge with one O(2)Yb4Ti square pyramid, edges with two equivalent O(7)Yb4Ti square pyramids, and  an edgeedge with one O(3)Yb3Ti tetrahedra. In the seventh O site, O(7) is bonded to one Yb(1), one Yb(2), one Yb(3), one Yb(4), and one Ti(1) atom to form distorted OYb4Ti square pyramids that share  a cornercorner with one O(2)Yb4Ti square pyramid, corners with two equivalent O(3)Yb3Ti tetrahedra, edges with two equivalent O(2)Yb4Ti square pyramids,  an edgeedge with one O(3)Yb3Ti tetrahedra, and edges with two equivalent O(6)Yb3Ti tetrahedra. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Yb(1), one Yb(3), one Ti(1), and one Ti(2) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one Yb(4), and one Ti(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Yb(2), one Yb(4), and one Ti(1) atom.
MgYb4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(10), one O(4), and one O(9) atom to form distorted MgO4 tetrahedra that share  a cornercorner with one Yb(2)O6 octahedra, corners with two equivalent Yb(1)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra, and  an edgeedge with one Yb(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 33-76°. The Mg(1)-O(1) bond length is 1.96 Å. The Mg(1)-O(10) bond length is 1.93 Å. The Mg(1)-O(4) bond length is 1.94 Å. The Mg(1)-O(9) bond length is 2.02 Å. There are four inequivalent Yb sites. In the first Yb site, Yb(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form distorted YbO6 octahedra that share  a cornercorner with one Yb(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Yb(2)O6 octahedra, and  an edgeedge with one Yb(4)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. The Yb(1)-O(1) bond length is 2.30 Å. The Yb(1)-O(2) bond length is 2.49 Å. The Yb(1)-O(3) bond length is 2.22 Å. The Yb(1)-O(4) bond length is 2.25 Å. The Yb(1)-O(7) bond length is 2.45 Å. The Yb(1)-O(8) bond length is 2.31 Å. In the second Yb site, Yb(2) is bonded to one O(10), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form distorted YbO6 octahedra that share  a cornercorner with one Yb(1)O6 octahedra,  a cornercorner with one Yb(4)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ti(2)O4 tetrahedra,  an edgeedge with one Yb(1)O6 octahedra, and edges with two equivalent Yb(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-38°. The Yb(2)-O(10) bond length is 2.40 Å. The Yb(2)-O(2) bond length is 2.40 Å. The Yb(2)-O(3) bond length is 2.35 Å. The Yb(2)-O(5) bond length is 2.34 Å. The Yb(2)-O(6) bond length is 2.31 Å. The Yb(2)-O(7) bond length is 2.39 Å. In the third Yb site, Yb(3) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(6), one O(7), and one O(8) atom. The Yb(3)-O(2) bond length is 2.63 Å. The Yb(3)-O(3) bond length is 2.22 Å. The Yb(3)-O(4) bond length is 2.29 Å. The Yb(3)-O(6) bond length is 2.31 Å. The Yb(3)-O(7) bond length is 2.34 Å. The Yb(3)-O(8) bond length is 2.38 Å. In the fourth Yb site, Yb(4) is bonded to one O(10), one O(2), one O(5), one O(6), one O(7), and one O(9) atom to form distorted YbO6 octahedra that share  a cornercorner with one Yb(2)O6 octahedra, corners with two equivalent Ti(2)O4 tetrahedra,  an edgeedge with one Yb(1)O6 octahedra, edges with two equivalent Yb(2)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. The Yb(4)-O(10) bond length is 2.36 Å. The Yb(4)-O(2) bond length is 2.51 Å. The Yb(4)-O(5) bond length is 2.25 Å. The Yb(4)-O(6) bond length is 2.30 Å. The Yb(4)-O(7) bond length is 2.32 Å. The Yb(4)-O(9) bond length is 2.31 Å. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(10), one O(2), one O(3), one O(6), one O(7), and one O(8) atom. The Ti(1)-O(10) bond length is 1.89 Å. The Ti(1)-O(2) bond length is 1.84 Å. The Ti(1)-O(3) bond length is 1.89 Å. The Ti(1)-O(6) bond length is 1.97 Å. The Ti(1)-O(7) bond length is 2.59 Å. The Ti(1)-O(8) bond length is 2.18 Å. In the second Ti site, Ti(2) is bonded to one O(1), one O(5), one O(8), and one O(9) atom to form TiO4 tetrahedra that share  a cornercorner with one Yb(2)O6 octahedra, corners with two equivalent Yb(1)O6 octahedra, corners with two equivalent Yb(4)O6 octahedra, and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 42-67°. The Ti(2)-O(1) bond length is 1.83 Å. The Ti(2)-O(5) bond length is 1.81 Å. The Ti(2)-O(8) bond length is 1.88 Å. The Ti(2)-O(9) bond length is 1.82 Å. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Mg(1), one Yb(1), and one Ti(2) atom. In the second O site, O(2) is bonded to one Yb(1), one Yb(2), one Yb(3), one Yb(4), and one Ti(1) atom to form distorted OYb4Ti square pyramids that share  a cornercorner with one O(7)Yb4Ti square pyramid, corners with two equivalent O(6)Yb3Ti tetrahedra, edges with two equivalent O(7)Yb4Ti square pyramids,  an edgeedge with one O(6)Yb3Ti tetrahedra, and edges with two equivalent O(3)Yb3Ti tetrahedra. In the third O site, O(3) is bonded to one Yb(1), one Yb(2), one Yb(3), and one Ti(1) atom to form distorted OYb3Ti tetrahedra that share corners with two equivalent O(7)Yb4Ti square pyramids,  a cornercorner with one O(6)Yb3Ti tetrahedra,  an edgeedge with one O(7)Yb4Ti square pyramid, edges with two equivalent O(2)Yb4Ti square pyramids, and  an edgeedge with one O(6)Yb3Ti tetrahedra. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Yb(1), and one Yb(3) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Yb(2), one Yb(4), and one Ti(2) atom. In the sixth O site, O(6) is bonded to one Yb(2), one Yb(3), one Yb(4), and one Ti(1) atom to form distorted OYb3Ti tetrahedra that share corners with two equivalent O(2)Yb4Ti square pyramids,  a cornercorner with one O(3)Yb3Ti tetrahedra,  an edgeedge with one O(2)Yb4Ti square pyramid, edges with two equivalent O(7)Yb4Ti square pyramids, and  an edgeedge with one O(3)Yb3Ti tetrahedra. In the seventh O site, O(7) is bonded to one Yb(1), one Yb(2), one Yb(3), one Yb(4), and one Ti(1) atom to form distorted OYb4Ti square pyramids that share  a cornercorner with one O(2)Yb4Ti square pyramid, corners with two equivalent O(3)Yb3Ti tetrahedra, edges with two equivalent O(2)Yb4Ti square pyramids,  an edgeedge with one O(3)Yb3Ti tetrahedra, and edges with two equivalent O(6)Yb3Ti tetrahedra. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Yb(1), one Yb(3), one Ti(1), and one Ti(2) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one Yb(4), and one Ti(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Yb(2), one Yb(4), and one Ti(1) atom.