Dy3ReO7 crystallizes in the orthorhombic C222_1 space group. There are two inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a distorted body-centered cubic geometry to two equivalent O(1), two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms. In the second Dy site, Dy(2) is bonded to one O(3), one O(4), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form distorted DyO7 pentagonal bipyramids that share corners with two equivalent Re(1)O6 octahedra,  a cornercorner with one Dy(2)O7 pentagonal bipyramid, edges with two equivalent Re(1)O6 octahedra, and edges with three equivalent Dy(2)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 45-48°. Re(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form ReO6 octahedra that share corners with two equivalent Re(1)O6 octahedra, corners with four equivalent Dy(2)O7 pentagonal bipyramids, and edges with four equivalent Dy(2)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 44°. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Dy(1), two equivalent Dy(2), and one Re(1) atom. In the second O site, O(2) is bonded to one Dy(1), two equivalent Dy(2), and one Re(1) atom to form distorted ODy3Re tetrahedra that share corners with two equivalent O(2)Dy3Re tetrahedra, corners with two equivalent O(3)Dy4 tetrahedra, corners with two equivalent O(4)Dy4 tetrahedra, corners with two equivalent O(5)Dy2Re2 trigonal pyramids,  an edgeedge with one O(2)Dy3Re tetrahedra,  an edgeedge with one O(3)Dy4 tetrahedra,  an edgeedge with one O(4)Dy4 tetrahedra, and  an edgeedge with one O(5)Dy2Re2 trigonal pyramid. In the third O site, O(3) is bonded to two equivalent Dy(1) and two equivalent Dy(2) atoms to form ODy4 tetrahedra that share corners with two equivalent O(3)Dy4 tetrahedra, corners with four equivalent O(2)Dy3Re tetrahedra, corners with four equivalent O(4)Dy4 tetrahedra, corners with two equivalent O(5)Dy2Re2 trigonal pyramids,  an edgeedge with one O(4)Dy4 tetrahedra, and edges with two equivalent O(2)Dy3Re tetrahedra. In the fourth O site, O(4) is bonded to two equivalent Dy(1) and two equivalent Dy(2) atoms to form ODy4 tetrahedra that share corners with two equivalent O(4)Dy4 tetrahedra, corners with four equivalent O(2)Dy3Re tetrahedra, corners with four equivalent O(3)Dy4 tetrahedra,  an edgeedge with one O(3)Dy4 tetrahedra, edges with two equivalent O(2)Dy3Re tetrahedra, and  an edgeedge with one O(5)Dy2Re2 trigonal pyramid. In the fifth O site, O(5) is bonded to two equivalent Dy(2) and two equivalent Re(1) atoms to form distorted ODy2Re2 trigonal pyramids that share corners with two equivalent O(3)Dy4 tetrahedra, corners with four equivalent O(2)Dy3Re tetrahedra, corners with two equivalent O(5)Dy2Re2 trigonal pyramids,  an edgeedge with one O(4)Dy4 tetrahedra, and edges with two equivalent O(2)Dy3Re tetrahedra.
Dy3ReO7 crystallizes in the orthorhombic C222_1 space group. There are two inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a distorted body-centered cubic geometry to two equivalent O(1), two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms. Both Dy(1)-O(1) bond lengths are 2.79 Å. Both Dy(1)-O(2) bond lengths are 2.46 Å. Both Dy(1)-O(3) bond lengths are 2.32 Å. Both Dy(1)-O(4) bond lengths are 2.35 Å. In the second Dy site, Dy(2) is bonded to one O(3), one O(4), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form distorted DyO7 pentagonal bipyramids that share corners with two equivalent Re(1)O6 octahedra,  a cornercorner with one Dy(2)O7 pentagonal bipyramid, edges with two equivalent Re(1)O6 octahedra, and edges with three equivalent Dy(2)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 45-48°. The Dy(2)-O(3) bond length is 2.27 Å. The Dy(2)-O(4) bond length is 2.22 Å. The Dy(2)-O(5) bond length is 2.43 Å. There is one shorter (2.28 Å) and one longer (2.39 Å) Dy(2)-O(1) bond length. There is one shorter (2.30 Å) and one longer (2.40 Å) Dy(2)-O(2) bond length. Re(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form ReO6 octahedra that share corners with two equivalent Re(1)O6 octahedra, corners with four equivalent Dy(2)O7 pentagonal bipyramids, and edges with four equivalent Dy(2)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 44°. Both Re(1)-O(1) bond lengths are 1.95 Å. Both Re(1)-O(2) bond lengths are 2.00 Å. Both Re(1)-O(5) bond lengths are 2.01 Å. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Dy(1), two equivalent Dy(2), and one Re(1) atom. In the second O site, O(2) is bonded to one Dy(1), two equivalent Dy(2), and one Re(1) atom to form distorted ODy3Re tetrahedra that share corners with two equivalent O(2)Dy3Re tetrahedra, corners with two equivalent O(3)Dy4 tetrahedra, corners with two equivalent O(4)Dy4 tetrahedra, corners with two equivalent O(5)Dy2Re2 trigonal pyramids,  an edgeedge with one O(2)Dy3Re tetrahedra,  an edgeedge with one O(3)Dy4 tetrahedra,  an edgeedge with one O(4)Dy4 tetrahedra, and  an edgeedge with one O(5)Dy2Re2 trigonal pyramid. In the third O site, O(3) is bonded to two equivalent Dy(1) and two equivalent Dy(2) atoms to form ODy4 tetrahedra that share corners with two equivalent O(3)Dy4 tetrahedra, corners with four equivalent O(2)Dy3Re tetrahedra, corners with four equivalent O(4)Dy4 tetrahedra, corners with two equivalent O(5)Dy2Re2 trigonal pyramids,  an edgeedge with one O(4)Dy4 tetrahedra, and edges with two equivalent O(2)Dy3Re tetrahedra. In the fourth O site, O(4) is bonded to two equivalent Dy(1) and two equivalent Dy(2) atoms to form ODy4 tetrahedra that share corners with two equivalent O(4)Dy4 tetrahedra, corners with four equivalent O(2)Dy3Re tetrahedra, corners with four equivalent O(3)Dy4 tetrahedra,  an edgeedge with one O(3)Dy4 tetrahedra, edges with two equivalent O(2)Dy3Re tetrahedra, and  an edgeedge with one O(5)Dy2Re2 trigonal pyramid. In the fifth O site, O(5) is bonded to two equivalent Dy(2) and two equivalent Re(1) atoms to form distorted ODy2Re2 trigonal pyramids that share corners with two equivalent O(3)Dy4 tetrahedra, corners with four equivalent O(2)Dy3Re tetrahedra, corners with two equivalent O(5)Dy2Re2 trigonal pyramids,  an edgeedge with one O(4)Dy4 tetrahedra, and edges with two equivalent O(2)Dy3Re tetrahedra.