MgYb4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(10), one O(4), one O(5), one O(6), and one O(9) atom to form distorted MgO6 octahedra that share corners with two equivalent Yb(2)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  an edgeedge with one Yb(1)O6 octahedra, edges with two equivalent Yb(4)O6 octahedra,  a faceface with one Yb(2)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-45°. 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 corners with two equivalent Yb(2)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Yb(4)O6 octahedra, and edges with two equivalent Ti(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 34-65°. In the second Yb site, Yb(2) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form distorted YbO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Yb(1)O6 octahedra, corners with two equivalent Yb(4)O6 octahedra, corners with two equivalent Ti(1)O5 trigonal bipyramids, edges with two equivalent Ti(2)O6 octahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Yb(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-67°. In the third Yb site, Yb(3) is bonded in a 5-coordinate geometry to one O(3), one O(4), one O(7), one O(8), and one O(9) 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 corners with two equivalent Yb(2)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  an edgeedge with one Yb(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Ti(1)O5 trigonal bipyramid, and  a faceface with one Yb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-67°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), one O(3), one O(6), one O(7), and one O(8) atom to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Yb(4)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Yb(2)O6 octahedra,  an edgeedge with one Yb(4)O6 octahedra, and edges with two equivalent Yb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 34-71°. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(4), one O(5), one O(8), and one O(9) atom to form distorted TiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with three equivalent Yb(1)O6 octahedra, corners with three equivalent Yb(4)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid, edges with two equivalent Yb(2)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-65°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Mg(1), one Yb(1), one Yb(2), and one Ti(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Yb(1), one Yb(2), one Yb(4), and one Ti(1) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Yb(1), one Yb(3), and one Ti(1) atom. In the fourth O site, O(4) is bonded to one Mg(1), one Yb(1), one Yb(3), and one Ti(2) atom to form distorted OYb2MgTi trigonal pyramids that share  a cornercorner with one O(9)Yb3MgTi trigonal bipyramid,  a cornercorner with one O(6)Yb2MgTi trigonal pyramid, corners with two equivalent O(7)Yb3Ti trigonal pyramids, corners with three equivalent O(8)Yb2Ti2 trigonal pyramids, and  an edgeedge with one O(9)Yb3MgTi trigonal bipyramid. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Mg(1), one Yb(2), one Yb(4), and one Ti(2) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Yb(2), one Yb(4), and one Ti(1) atom to form distorted OYb2MgTi trigonal pyramids that share  a cornercorner with one O(9)Yb3MgTi trigonal bipyramid,  a cornercorner with one O(4)Yb2MgTi trigonal pyramid,  a cornercorner with one O(8)Yb2Ti2 trigonal pyramid, corners with two equivalent O(7)Yb3Ti trigonal pyramids, and  an edgeedge with one O(9)Yb3MgTi trigonal bipyramid. In the seventh O site, O(7) is bonded to one Yb(1), one Yb(3), one Yb(4), and one Ti(1) atom to form OYb3Ti trigonal pyramids that share corners with two equivalent O(9)Yb3MgTi trigonal bipyramids,  a cornercorner with one O(8)Yb2Ti2 trigonal pyramid, corners with two equivalent O(4)Yb2MgTi trigonal pyramids, corners with two equivalent O(6)Yb2MgTi trigonal pyramids, and  an edgeedge with one O(8)Yb2Ti2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Yb(1), one Yb(3), one Ti(1), and one Ti(2) atom to form distorted OYb2Ti2 trigonal pyramids that share  a cornercorner with one O(6)Yb2MgTi trigonal pyramid,  a cornercorner with one O(7)Yb3Ti trigonal pyramid, corners with three equivalent O(4)Yb2MgTi trigonal pyramids,  an edgeedge with one O(9)Yb3MgTi trigonal bipyramid, and  an edgeedge with one O(7)Yb3Ti trigonal pyramid. In the ninth O site, O(9) is bonded to one Mg(1), one Yb(2), one Yb(3), one Yb(4), and one Ti(2) atom to form distorted OYb3MgTi trigonal bipyramids that share  a cornercorner with one O(4)Yb2MgTi trigonal pyramid,  a cornercorner with one O(6)Yb2MgTi trigonal pyramid, corners with two equivalent O(7)Yb3Ti trigonal pyramids,  an edgeedge with one O(4)Yb2MgTi trigonal pyramid,  an edgeedge with one O(6)Yb2MgTi trigonal pyramid, and  an edgeedge with one O(8)Yb2Ti2 trigonal pyramid. 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(2) atom.
MgYb4Ti2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(10), one O(4), one O(5), one O(6), and one O(9) atom to form distorted MgO6 octahedra that share corners with two equivalent Yb(2)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  an edgeedge with one Yb(1)O6 octahedra, edges with two equivalent Yb(4)O6 octahedra,  a faceface with one Yb(2)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-45°. The Mg(1)-O(1) bond length is 2.20 Å. The Mg(1)-O(10) bond length is 2.06 Å. The Mg(1)-O(4) bond length is 2.04 Å. The Mg(1)-O(5) bond length is 2.40 Å. The Mg(1)-O(6) bond length is 2.00 Å. The Mg(1)-O(9) bond length is 2.01 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 corners with two equivalent Yb(2)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Yb(4)O6 octahedra, and edges with two equivalent Ti(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 34-65°. The Yb(1)-O(1) bond length is 2.37 Å. The Yb(1)-O(2) bond length is 2.25 Å. The Yb(1)-O(3) bond length is 2.33 Å. The Yb(1)-O(4) bond length is 2.33 Å. The Yb(1)-O(7) bond length is 2.28 Å. The Yb(1)-O(8) bond length is 2.35 Å. In the second Yb site, Yb(2) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form distorted YbO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Yb(1)O6 octahedra, corners with two equivalent Yb(4)O6 octahedra, corners with two equivalent Ti(1)O5 trigonal bipyramids, edges with two equivalent Ti(2)O6 octahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Yb(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-67°. The Yb(2)-O(1) bond length is 2.44 Å. The Yb(2)-O(10) bond length is 2.30 Å. The Yb(2)-O(2) bond length is 2.31 Å. The Yb(2)-O(5) bond length is 2.23 Å. The Yb(2)-O(6) bond length is 2.28 Å. The Yb(2)-O(9) bond length is 2.30 Å. In the third Yb site, Yb(3) is bonded in a 5-coordinate geometry to one O(3), one O(4), one O(7), one O(8), and one O(9) atom. The Yb(3)-O(3) bond length is 2.27 Å. The Yb(3)-O(4) bond length is 2.28 Å. The Yb(3)-O(7) bond length is 2.32 Å. The Yb(3)-O(8) bond length is 2.40 Å. The Yb(3)-O(9) bond length is 2.27 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 corners with two equivalent Yb(2)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid,  an edgeedge with one Yb(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Ti(1)O5 trigonal bipyramid, and  a faceface with one Yb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-67°. The Yb(4)-O(10) bond length is 2.37 Å. The Yb(4)-O(2) bond length is 2.46 Å. The Yb(4)-O(5) bond length is 2.22 Å. The Yb(4)-O(6) bond length is 2.25 Å. The Yb(4)-O(7) bond length is 2.34 Å. The Yb(4)-O(9) bond length is 2.47 Å. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), one O(3), one O(6), one O(7), and one O(8) atom to form distorted TiO5 trigonal bipyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Yb(4)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Yb(2)O6 octahedra,  an edgeedge with one Yb(4)O6 octahedra, and edges with two equivalent Yb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 34-71°. The Ti(1)-O(2) bond length is 2.02 Å. The Ti(1)-O(3) bond length is 1.92 Å. The Ti(1)-O(6) bond length is 1.87 Å. The Ti(1)-O(7) bond length is 1.88 Å. The Ti(1)-O(8) bond length is 1.88 Å. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(4), one O(5), one O(8), and one O(9) atom to form distorted TiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with three equivalent Yb(1)O6 octahedra, corners with three equivalent Yb(4)O6 octahedra,  a cornercorner with one Ti(1)O5 trigonal bipyramid, edges with two equivalent Yb(2)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-65°. The Ti(2)-O(1) bond length is 1.90 Å. The Ti(2)-O(10) bond length is 2.04 Å. The Ti(2)-O(4) bond length is 2.16 Å. The Ti(2)-O(5) bond length is 1.88 Å. The Ti(2)-O(8) bond length is 1.99 Å. The Ti(2)-O(9) bond length is 2.16 Å. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Mg(1), one Yb(1), one Yb(2), and one Ti(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Yb(1), one Yb(2), one Yb(4), and one Ti(1) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Yb(1), one Yb(3), and one Ti(1) atom. In the fourth O site, O(4) is bonded to one Mg(1), one Yb(1), one Yb(3), and one Ti(2) atom to form distorted OYb2MgTi trigonal pyramids that share  a cornercorner with one O(9)Yb3MgTi trigonal bipyramid,  a cornercorner with one O(6)Yb2MgTi trigonal pyramid, corners with two equivalent O(7)Yb3Ti trigonal pyramids, corners with three equivalent O(8)Yb2Ti2 trigonal pyramids, and  an edgeedge with one O(9)Yb3MgTi trigonal bipyramid. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Mg(1), one Yb(2), one Yb(4), and one Ti(2) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Yb(2), one Yb(4), and one Ti(1) atom to form distorted OYb2MgTi trigonal pyramids that share  a cornercorner with one O(9)Yb3MgTi trigonal bipyramid,  a cornercorner with one O(4)Yb2MgTi trigonal pyramid,  a cornercorner with one O(8)Yb2Ti2 trigonal pyramid, corners with two equivalent O(7)Yb3Ti trigonal pyramids, and  an edgeedge with one O(9)Yb3MgTi trigonal bipyramid. In the seventh O site, O(7) is bonded to one Yb(1), one Yb(3), one Yb(4), and one Ti(1) atom to form OYb3Ti trigonal pyramids that share corners with two equivalent O(9)Yb3MgTi trigonal bipyramids,  a cornercorner with one O(8)Yb2Ti2 trigonal pyramid, corners with two equivalent O(4)Yb2MgTi trigonal pyramids, corners with two equivalent O(6)Yb2MgTi trigonal pyramids, and  an edgeedge with one O(8)Yb2Ti2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Yb(1), one Yb(3), one Ti(1), and one Ti(2) atom to form distorted OYb2Ti2 trigonal pyramids that share  a cornercorner with one O(6)Yb2MgTi trigonal pyramid,  a cornercorner with one O(7)Yb3Ti trigonal pyramid, corners with three equivalent O(4)Yb2MgTi trigonal pyramids,  an edgeedge with one O(9)Yb3MgTi trigonal bipyramid, and  an edgeedge with one O(7)Yb3Ti trigonal pyramid. In the ninth O site, O(9) is bonded to one Mg(1), one Yb(2), one Yb(3), one Yb(4), and one Ti(2) atom to form distorted OYb3MgTi trigonal bipyramids that share  a cornercorner with one O(4)Yb2MgTi trigonal pyramid,  a cornercorner with one O(6)Yb2MgTi trigonal pyramid, corners with two equivalent O(7)Yb3Ti trigonal pyramids,  an edgeedge with one O(4)Yb2MgTi trigonal pyramid,  an edgeedge with one O(6)Yb2MgTi trigonal pyramid, and  an edgeedge with one O(8)Yb2Ti2 trigonal pyramid. 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(2) atom.