Dy2TiO5 crystallizes in the triclinic P1 space group. There are ten inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a see-saw-like geometry to one O(16), one O(2), one O(5), and one O(8) atom. In the second Dy site, Dy(2) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(17), one O(4), and one O(6) atom. In the third Dy site, Dy(3) is bonded in a 6-coordinate geometry to one O(1), one O(18), one O(21), one O(23), one O(3), and one O(5) atom. In the fourth Dy site, Dy(4) is bonded to one O(1), one O(11), one O(22), one O(5), one O(6), one O(7), and one O(9) atom to form distorted DyO7 hexagonal pyramids that share  an edgeedge with one Ti(4)O6 octahedra and  an edgeedge with one Ti(1)O5 square pyramid. In the fifth Dy site, Dy(5) is bonded in a 7-coordinate geometry to one O(18), one O(2), one O(25), one O(3), one O(5), one O(8), and one O(9) atom. In the sixth Dy site, Dy(6) is bonded in a 6-coordinate geometry to one O(17), one O(22), one O(4), one O(6), one O(8), and one O(9) atom. In the seventh Dy site, Dy(7) is bonded in a distorted body-centered cubic geometry to one O(1), one O(11), one O(13), one O(17), one O(18), one O(22), one O(4), and one O(9) atom. In the eighth Dy site, Dy(8) is bonded in a 5-coordinate geometry to one O(12), one O(13), one O(15), one O(20), and one O(22) atom. In the ninth Dy site, Dy(9) is bonded in a 6-coordinate geometry to one O(14), one O(16), one O(19), one O(2), one O(20), and one O(25) atom. In the tenth Dy site, Dy(10) is bonded in a 7-coordinate geometry to one O(10), one O(14), one O(20), one O(21), one O(24), one O(25), and one O(3) atom. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(12), one O(15), one O(19), one O(6), and one O(7) atom to form TiO5 square pyramids that share corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, and  an edgeedge with one Dy(4)O7 hexagonal pyramid. The corner-sharing octahedral tilt angles range from 27-47°. In the second Ti site, Ti(2) is bonded in a 4-coordinate geometry to one O(18), one O(2), one O(23), one O(3), one O(4), and one O(8) atom. In the third Ti site, Ti(3) is bonded to one O(10), one O(14), one O(16), one O(21), and one O(23) atom to form corner-sharing TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 30-44°. In the fourth Ti site, Ti(4) is bonded to one O(10), one O(11), one O(13), one O(15), one O(24), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(1)O5 square pyramids,  a cornercorner with one Ti(3)O5 trigonal bipyramid, and  an edgeedge with one Dy(4)O7 hexagonal pyramid. The corner-sharing octahedral tilt angles range from 42-49°. In the fifth Ti site, Ti(5) is bonded to one O(12), one O(13), one O(14), one O(17), one O(19), and one O(24) atom to form TiO6 octahedra that share corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(1)O5 square pyramids, and  a cornercorner with one Ti(3)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 42-49°. There are twenty-five inequivalent O sites. In the first O site, O(1) is bonded to one Dy(2), one Dy(3), one Dy(4), and one Dy(7) atom to form ODy4 tetrahedra that share corners with two equivalent O(4)Dy3Ti tetrahedra, corners with two equivalent O(9)Dy4 tetrahedra,  an edgeedge with one O(18)Dy3Ti tetrahedra,  an edgeedge with one O(6)Dy3Ti tetrahedra,  an edgeedge with one O(22)Dy4 tetrahedra,  an edgeedge with one O(5)Dy4 tetrahedra, and  an edgeedge with one O(17)Dy3Ti trigonal pyramid. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Dy(1), one Dy(5), one Dy(9), and one Ti(2) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Dy(10), one Dy(3), one Dy(5), and one Ti(2) atom. In the fourth O site, O(4) is bonded to one Dy(2), one Dy(6), one Dy(7), and one Ti(2) atom to form distorted ODy3Ti tetrahedra that share corners with two equivalent O(1)Dy4 tetrahedra, corners with two equivalent O(9)Dy4 tetrahedra, corners with three equivalent O(17)Dy3Ti trigonal pyramids,  an edgeedge with one O(18)Dy3Ti tetrahedra,  an edgeedge with one O(6)Dy3Ti tetrahedra, and  an edgeedge with one O(22)Dy4 tetrahedra. In the fifth O site, O(5) is bonded to one Dy(1), one Dy(3), one Dy(4), and one Dy(5) atom to form distorted ODy4 tetrahedra that share  a cornercorner with one O(6)Dy3Ti tetrahedra,  a cornercorner with one O(22)Dy4 tetrahedra, corners with two equivalent O(18)Dy3Ti tetrahedra,  an edgeedge with one O(1)Dy4 tetrahedra, and  an edgeedge with one O(9)Dy4 tetrahedra. In the sixth O site, O(6) is bonded to one Dy(2), one Dy(4), one Dy(6), and one Ti(1) atom to form ODy3Ti tetrahedra that share  a cornercorner with one O(5)Dy4 tetrahedra, corners with two equivalent O(22)Dy4 tetrahedra, corners with two equivalent O(17)Dy3Ti trigonal pyramids,  an edgeedge with one O(4)Dy3Ti tetrahedra,  an edgeedge with one O(1)Dy4 tetrahedra, and  an edgeedge with one O(9)Dy4 tetrahedra. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Dy(4), one Ti(1), and one Ti(4) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Dy(1), one Dy(5), one Dy(6), and one Ti(2) atom. In the ninth O site, O(9) is bonded to one Dy(4), one Dy(5), one Dy(6), and one Dy(7) atom to form ODy4 tetrahedra that share corners with two equivalent O(4)Dy3Ti tetrahedra, corners with two equivalent O(1)Dy4 tetrahedra, corners with three equivalent O(22)Dy4 tetrahedra,  an edgeedge with one O(18)Dy3Ti tetrahedra,  an edgeedge with one O(6)Dy3Ti tetrahedra,  an edgeedge with one O(5)Dy4 tetrahedra, and  an edgeedge with one O(17)Dy3Ti trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one Dy(10), one Ti(3), and one Ti(4) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Dy(2), one Dy(4), one Dy(7), and one Ti(4) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Dy(8), one Ti(1), and one Ti(5) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Dy(7), one Dy(8), one Ti(4), and one Ti(5) atom. In the fourteenth O site, O(14) is bonded to one Dy(10), one Dy(9), one Ti(3), and one Ti(5) atom to form distorted corner-sharing ODy2Ti2 tetrahedra. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Dy(8), one Ti(1), and one Ti(4) atom. In the sixteenth O site, O(16) is bonded in a trigonal non-coplanar geometry to one Dy(1), one Dy(9), and one Ti(3) atom. In the seventeenth O site, O(17) is bonded to one Dy(2), one Dy(6), one Dy(7), and one Ti(5) atom to form distorted ODy3Ti trigonal pyramids that share  a cornercorner with one O(14)Dy2Ti2 tetrahedra,  a cornercorner with one O(18)Dy3Ti tetrahedra, corners with two equivalent O(6)Dy3Ti tetrahedra, corners with two equivalent O(22)Dy4 tetrahedra, corners with three equivalent O(4)Dy3Ti tetrahedra,  an edgeedge with one O(1)Dy4 tetrahedra, and  an edgeedge with one O(9)Dy4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Dy(3), one Dy(5), one Dy(7), and one Ti(2) atom to form distorted ODy3Ti tetrahedra that share  a cornercorner with one O(22)Dy4 tetrahedra, corners with two equivalent O(5)Dy4 tetrahedra,  a cornercorner with one O(17)Dy3Ti trigonal pyramid,  an edgeedge with one O(4)Dy3Ti tetrahedra,  an edgeedge with one O(1)Dy4 tetrahedra, and  an edgeedge with one O(9)Dy4 tetrahedra. In the nineteenth O site, O(19) is bonded in a 2-coordinate geometry to one Dy(9), one Ti(1), and one Ti(5) atom. In the twentieth O site, O(20) is bonded in a trigonal planar geometry to one Dy(10), one Dy(8), and one Dy(9) atom. In the twenty-first O site, O(21) is bonded in a trigonal non-coplanar geometry to one Dy(10), one Dy(3), and one Ti(3) atom. In the twenty-second O site, O(22) is bonded to one Dy(4), one Dy(6), one Dy(7), and one Dy(8) atom to form ODy4 tetrahedra that share  a cornercorner with one O(18)Dy3Ti tetrahedra,  a cornercorner with one O(5)Dy4 tetrahedra, corners with two equivalent O(6)Dy3Ti tetrahedra, corners with three equivalent O(9)Dy4 tetrahedra, corners with two equivalent O(17)Dy3Ti trigonal pyramids,  an edgeedge with one O(4)Dy3Ti tetrahedra, and  an edgeedge with one O(1)Dy4 tetrahedra. In the twenty-third O site, O(23) is bonded in a distorted linear geometry to one Dy(3), one Ti(2), and one Ti(3) atom. In the twenty-fourth O site, O(24) is bonded in a 3-coordinate geometry to one Dy(10), one Ti(4), and one Ti(5) atom. In the twenty-fifth O site, O(25) is bonded in a trigonal non-coplanar geometry to one Dy(10), one Dy(5), and one Dy(9) atom.
Dy2TiO5 crystallizes in the triclinic P1 space group. There are ten inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a see-saw-like geometry to one O(16), one O(2), one O(5), and one O(8) atom. The Dy(1)-O(16) bond length is 2.05 Å. The Dy(1)-O(2) bond length is 2.23 Å. The Dy(1)-O(5) bond length is 2.12 Å. The Dy(1)-O(8) bond length is 2.14 Å. In the second Dy site, Dy(2) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(17), one O(4), and one O(6) atom. The Dy(2)-O(1) bond length is 2.20 Å. The Dy(2)-O(11) bond length is 2.14 Å. The Dy(2)-O(17) bond length is 2.28 Å. The Dy(2)-O(4) bond length is 2.30 Å. The Dy(2)-O(6) bond length is 2.14 Å. In the third Dy site, Dy(3) is bonded in a 6-coordinate geometry to one O(1), one O(18), one O(21), one O(23), one O(3), and one O(5) atom. The Dy(3)-O(1) bond length is 2.29 Å. The Dy(3)-O(18) bond length is 2.16 Å. The Dy(3)-O(21) bond length is 2.23 Å. The Dy(3)-O(23) bond length is 2.70 Å. The Dy(3)-O(3) bond length is 2.29 Å. The Dy(3)-O(5) bond length is 2.22 Å. In the fourth Dy site, Dy(4) is bonded to one O(1), one O(11), one O(22), one O(5), one O(6), one O(7), and one O(9) atom to form distorted DyO7 hexagonal pyramids that share  an edgeedge with one Ti(4)O6 octahedra and  an edgeedge with one Ti(1)O5 square pyramid. The Dy(4)-O(1) bond length is 2.49 Å. The Dy(4)-O(11) bond length is 2.23 Å. The Dy(4)-O(22) bond length is 2.31 Å. The Dy(4)-O(5) bond length is 2.45 Å. The Dy(4)-O(6) bond length is 2.25 Å. The Dy(4)-O(7) bond length is 2.35 Å. The Dy(4)-O(9) bond length is 2.23 Å. In the fifth Dy site, Dy(5) is bonded in a 7-coordinate geometry to one O(18), one O(2), one O(25), one O(3), one O(5), one O(8), and one O(9) atom. The Dy(5)-O(18) bond length is 2.20 Å. The Dy(5)-O(2) bond length is 2.58 Å. The Dy(5)-O(25) bond length is 2.20 Å. The Dy(5)-O(3) bond length is 2.74 Å. The Dy(5)-O(5) bond length is 2.45 Å. The Dy(5)-O(8) bond length is 2.33 Å. The Dy(5)-O(9) bond length is 2.26 Å. In the sixth Dy site, Dy(6) is bonded in a 6-coordinate geometry to one O(17), one O(22), one O(4), one O(6), one O(8), and one O(9) atom. The Dy(6)-O(17) bond length is 2.35 Å. The Dy(6)-O(22) bond length is 2.28 Å. The Dy(6)-O(4) bond length is 2.53 Å. The Dy(6)-O(6) bond length is 2.24 Å. The Dy(6)-O(8) bond length is 2.18 Å. The Dy(6)-O(9) bond length is 2.22 Å. In the seventh Dy site, Dy(7) is bonded in a distorted body-centered cubic geometry to one O(1), one O(11), one O(13), one O(17), one O(18), one O(22), one O(4), and one O(9) atom. The Dy(7)-O(1) bond length is 2.33 Å. The Dy(7)-O(11) bond length is 2.80 Å. The Dy(7)-O(13) bond length is 2.59 Å. The Dy(7)-O(17) bond length is 2.52 Å. The Dy(7)-O(18) bond length is 2.32 Å. The Dy(7)-O(22) bond length is 2.45 Å. The Dy(7)-O(4) bond length is 2.52 Å. The Dy(7)-O(9) bond length is 2.22 Å. In the eighth Dy site, Dy(8) is bonded in a 5-coordinate geometry to one O(12), one O(13), one O(15), one O(20), and one O(22) atom. The Dy(8)-O(12) bond length is 2.38 Å. The Dy(8)-O(13) bond length is 2.36 Å. The Dy(8)-O(15) bond length is 2.37 Å. The Dy(8)-O(20) bond length is 2.16 Å. The Dy(8)-O(22) bond length is 2.25 Å. In the ninth Dy site, Dy(9) is bonded in a 6-coordinate geometry to one O(14), one O(16), one O(19), one O(2), one O(20), and one O(25) atom. The Dy(9)-O(14) bond length is 2.25 Å. The Dy(9)-O(16) bond length is 2.24 Å. The Dy(9)-O(19) bond length is 2.63 Å. The Dy(9)-O(2) bond length is 2.39 Å. The Dy(9)-O(20) bond length is 2.17 Å. The Dy(9)-O(25) bond length is 2.21 Å. In the tenth Dy site, Dy(10) is bonded in a 7-coordinate geometry to one O(10), one O(14), one O(20), one O(21), one O(24), one O(25), and one O(3) atom. The Dy(10)-O(10) bond length is 2.84 Å. The Dy(10)-O(14) bond length is 2.37 Å. The Dy(10)-O(20) bond length is 2.22 Å. The Dy(10)-O(21) bond length is 2.28 Å. The Dy(10)-O(24) bond length is 2.38 Å. The Dy(10)-O(25) bond length is 2.24 Å. The Dy(10)-O(3) bond length is 2.75 Å. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(12), one O(15), one O(19), one O(6), and one O(7) atom to form TiO5 square pyramids that share corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, and  an edgeedge with one Dy(4)O7 hexagonal pyramid. The corner-sharing octahedral tilt angles range from 27-47°. The Ti(1)-O(12) bond length is 1.82 Å. The Ti(1)-O(15) bond length is 2.00 Å. The Ti(1)-O(19) bond length is 2.09 Å. The Ti(1)-O(6) bond length is 1.86 Å. The Ti(1)-O(7) bond length is 1.87 Å. In the second Ti site, Ti(2) is bonded in a 4-coordinate geometry to one O(18), one O(2), one O(23), one O(3), one O(4), and one O(8) atom. The Ti(2)-O(18) bond length is 2.43 Å. The Ti(2)-O(2) bond length is 1.84 Å. The Ti(2)-O(23) bond length is 1.87 Å. The Ti(2)-O(3) bond length is 1.85 Å. The Ti(2)-O(4) bond length is 1.94 Å. The Ti(2)-O(8) bond length is 2.70 Å. In the third Ti site, Ti(3) is bonded to one O(10), one O(14), one O(16), one O(21), and one O(23) atom to form corner-sharing TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 30-44°. The Ti(3)-O(10) bond length is 1.84 Å. The Ti(3)-O(14) bond length is 2.03 Å. The Ti(3)-O(16) bond length is 1.84 Å. The Ti(3)-O(21) bond length is 1.90 Å. The Ti(3)-O(23) bond length is 1.94 Å. In the fourth Ti site, Ti(4) is bonded to one O(10), one O(11), one O(13), one O(15), one O(24), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(1)O5 square pyramids,  a cornercorner with one Ti(3)O5 trigonal bipyramid, and  an edgeedge with one Dy(4)O7 hexagonal pyramid. The corner-sharing octahedral tilt angles range from 42-49°. The Ti(4)-O(10) bond length is 1.94 Å. The Ti(4)-O(11) bond length is 1.97 Å. The Ti(4)-O(13) bond length is 2.20 Å. The Ti(4)-O(15) bond length is 2.01 Å. The Ti(4)-O(24) bond length is 1.87 Å. The Ti(4)-O(7) bond length is 2.05 Å. In the fifth Ti site, Ti(5) is bonded to one O(12), one O(13), one O(14), one O(17), one O(19), and one O(24) atom to form TiO6 octahedra that share corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(1)O5 square pyramids, and  a cornercorner with one Ti(3)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 42-49°. The Ti(5)-O(12) bond length is 2.31 Å. The Ti(5)-O(13) bond length is 1.92 Å. The Ti(5)-O(14) bond length is 1.92 Å. The Ti(5)-O(17) bond length is 2.02 Å. The Ti(5)-O(19) bond length is 1.88 Å. The Ti(5)-O(24) bond length is 2.04 Å. There are twenty-five inequivalent O sites. In the first O site, O(1) is bonded to one Dy(2), one Dy(3), one Dy(4), and one Dy(7) atom to form ODy4 tetrahedra that share corners with two equivalent O(4)Dy3Ti tetrahedra, corners with two equivalent O(9)Dy4 tetrahedra,  an edgeedge with one O(18)Dy3Ti tetrahedra,  an edgeedge with one O(6)Dy3Ti tetrahedra,  an edgeedge with one O(22)Dy4 tetrahedra,  an edgeedge with one O(5)Dy4 tetrahedra, and  an edgeedge with one O(17)Dy3Ti trigonal pyramid. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Dy(1), one Dy(5), one Dy(9), and one Ti(2) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Dy(10), one Dy(3), one Dy(5), and one Ti(2) atom. In the fourth O site, O(4) is bonded to one Dy(2), one Dy(6), one Dy(7), and one Ti(2) atom to form distorted ODy3Ti tetrahedra that share corners with two equivalent O(1)Dy4 tetrahedra, corners with two equivalent O(9)Dy4 tetrahedra, corners with three equivalent O(17)Dy3Ti trigonal pyramids,  an edgeedge with one O(18)Dy3Ti tetrahedra,  an edgeedge with one O(6)Dy3Ti tetrahedra, and  an edgeedge with one O(22)Dy4 tetrahedra. In the fifth O site, O(5) is bonded to one Dy(1), one Dy(3), one Dy(4), and one Dy(5) atom to form distorted ODy4 tetrahedra that share  a cornercorner with one O(6)Dy3Ti tetrahedra,  a cornercorner with one O(22)Dy4 tetrahedra, corners with two equivalent O(18)Dy3Ti tetrahedra,  an edgeedge with one O(1)Dy4 tetrahedra, and  an edgeedge with one O(9)Dy4 tetrahedra. In the sixth O site, O(6) is bonded to one Dy(2), one Dy(4), one Dy(6), and one Ti(1) atom to form ODy3Ti tetrahedra that share  a cornercorner with one O(5)Dy4 tetrahedra, corners with two equivalent O(22)Dy4 tetrahedra, corners with two equivalent O(17)Dy3Ti trigonal pyramids,  an edgeedge with one O(4)Dy3Ti tetrahedra,  an edgeedge with one O(1)Dy4 tetrahedra, and  an edgeedge with one O(9)Dy4 tetrahedra. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Dy(4), one Ti(1), and one Ti(4) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Dy(1), one Dy(5), one Dy(6), and one Ti(2) atom. In the ninth O site, O(9) is bonded to one Dy(4), one Dy(5), one Dy(6), and one Dy(7) atom to form ODy4 tetrahedra that share corners with two equivalent O(4)Dy3Ti tetrahedra, corners with two equivalent O(1)Dy4 tetrahedra, corners with three equivalent O(22)Dy4 tetrahedra,  an edgeedge with one O(18)Dy3Ti tetrahedra,  an edgeedge with one O(6)Dy3Ti tetrahedra,  an edgeedge with one O(5)Dy4 tetrahedra, and  an edgeedge with one O(17)Dy3Ti trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one Dy(10), one Ti(3), and one Ti(4) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Dy(2), one Dy(4), one Dy(7), and one Ti(4) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Dy(8), one Ti(1), and one Ti(5) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Dy(7), one Dy(8), one Ti(4), and one Ti(5) atom. In the fourteenth O site, O(14) is bonded to one Dy(10), one Dy(9), one Ti(3), and one Ti(5) atom to form distorted corner-sharing ODy2Ti2 tetrahedra. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Dy(8), one Ti(1), and one Ti(4) atom. In the sixteenth O site, O(16) is bonded in a trigonal non-coplanar geometry to one Dy(1), one Dy(9), and one Ti(3) atom. In the seventeenth O site, O(17) is bonded to one Dy(2), one Dy(6), one Dy(7), and one Ti(5) atom to form distorted ODy3Ti trigonal pyramids that share  a cornercorner with one O(14)Dy2Ti2 tetrahedra,  a cornercorner with one O(18)Dy3Ti tetrahedra, corners with two equivalent O(6)Dy3Ti tetrahedra, corners with two equivalent O(22)Dy4 tetrahedra, corners with three equivalent O(4)Dy3Ti tetrahedra,  an edgeedge with one O(1)Dy4 tetrahedra, and  an edgeedge with one O(9)Dy4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Dy(3), one Dy(5), one Dy(7), and one Ti(2) atom to form distorted ODy3Ti tetrahedra that share  a cornercorner with one O(22)Dy4 tetrahedra, corners with two equivalent O(5)Dy4 tetrahedra,  a cornercorner with one O(17)Dy3Ti trigonal pyramid,  an edgeedge with one O(4)Dy3Ti tetrahedra,  an edgeedge with one O(1)Dy4 tetrahedra, and  an edgeedge with one O(9)Dy4 tetrahedra. In the nineteenth O site, O(19) is bonded in a 2-coordinate geometry to one Dy(9), one Ti(1), and one Ti(5) atom. In the twentieth O site, O(20) is bonded in a trigonal planar geometry to one Dy(10), one Dy(8), and one Dy(9) atom. In the twenty-first O site, O(21) is bonded in a trigonal non-coplanar geometry to one Dy(10), one Dy(3), and one Ti(3) atom. In the twenty-second O site, O(22) is bonded to one Dy(4), one Dy(6), one Dy(7), and one Dy(8) atom to form ODy4 tetrahedra that share  a cornercorner with one O(18)Dy3Ti tetrahedra,  a cornercorner with one O(5)Dy4 tetrahedra, corners with two equivalent O(6)Dy3Ti tetrahedra, corners with three equivalent O(9)Dy4 tetrahedra, corners with two equivalent O(17)Dy3Ti trigonal pyramids,  an edgeedge with one O(4)Dy3Ti tetrahedra, and  an edgeedge with one O(1)Dy4 tetrahedra. In the twenty-third O site, O(23) is bonded in a distorted linear geometry to one Dy(3), one Ti(2), and one Ti(3) atom. In the twenty-fourth O site, O(24) is bonded in a 3-coordinate geometry to one Dy(10), one Ti(4), and one Ti(5) atom. In the twenty-fifth O site, O(25) is bonded in a trigonal non-coplanar geometry to one Dy(10), one Dy(5), and one Dy(9) atom.