Dy5(ReO6)2 crystallizes in the monoclinic P2_1/m space group. There are five inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a 7-coordinate geometry to one O(8), two equivalent O(6), and four equivalent O(7) atoms. In the second Dy site, Dy(2) is bonded to one O(4), two equivalent O(7), and four equivalent O(6) atoms to form distorted DyO7 pentagonal bipyramids that share corners with two equivalent Dy(5)O6 octahedra,  an edgeedge with one Dy(5)O6 octahedra, edges with two equivalent Re(1)O6 octahedra, and edges with two equivalent Dy(2)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 57°. In the third Dy site, Dy(3) is bonded in a 7-coordinate geometry to one O(4), two equivalent O(2), and four equivalent O(5) atoms. In the fourth Dy site, Dy(4) is bonded to one O(8), two equivalent O(5), and four equivalent O(2) atoms to form distorted DyO7 pentagonal bipyramids that share corners with two equivalent Dy(5)O6 octahedra,  an edgeedge with one Dy(5)O6 octahedra, edges with two equivalent Re(1)O6 octahedra, and edges with two equivalent Dy(4)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. In the fifth Dy site, Dy(5) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(6) atoms to form DyO6 octahedra that share corners with four equivalent Re(1)O6 octahedra, corners with two equivalent Dy(2)O7 pentagonal bipyramids, corners with two equivalent Dy(4)O7 pentagonal bipyramids,  an edgeedge with one Dy(2)O7 pentagonal bipyramid, and  an edgeedge with one Dy(4)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 38°. Re(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form ReO6 octahedra that share corners with two equivalent Dy(5)O6 octahedra, edges with two equivalent Re(1)O6 octahedra,  an edgeedge with one Dy(2)O7 pentagonal bipyramid, and  an edgeedge with one Dy(4)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 38°. There are eight inequivalent O sites. In the first O site, O(7) is bonded to one Dy(2), two equivalent Dy(1), and one Re(1) atom to form distorted ODy3Re tetrahedra that share  a cornercorner with one O(5)Dy3Re tetrahedra, corners with three equivalent O(7)Dy3Re tetrahedra, corners with six equivalent O(6)Dy4 tetrahedra,  a cornercorner with one O(8)Dy2Re2 trigonal pyramid,  an edgeedge with one O(6)Dy4 tetrahedra, edges with two equivalent O(7)Dy3Re tetrahedra,  an edgeedge with one O(4)Dy2Re2 trigonal pyramid, and  an edgeedge with one O(8)Dy2Re2 trigonal pyramid. In the second O site, O(8) is bonded to one Dy(1), one Dy(4), and two equivalent Re(1) atoms to form distorted ODy2Re2 trigonal pyramids that share corners with two equivalent O(7)Dy3Re tetrahedra, corners with two equivalent O(6)Dy4 tetrahedra, corners with four equivalent O(2)Dy4 tetrahedra, edges with two equivalent O(5)Dy3Re tetrahedra, edges with two equivalent O(7)Dy3Re tetrahedra, and  an edgeedge with one O(4)Dy2Re2 trigonal pyramid. In the third O site, O(1) is bonded in a 3-coordinate geometry to one Dy(5) and two equivalent Re(1) atoms. In the fourth O site, O(2) is bonded to one Dy(3), one Dy(5), and two equivalent Dy(4) atoms to form ODy4 tetrahedra that share corners with two equivalent O(2)Dy4 tetrahedra, corners with two equivalent O(6)Dy4 tetrahedra, corners with six equivalent O(5)Dy3Re tetrahedra,  a cornercorner with one O(4)Dy2Re2 trigonal pyramid, corners with two equivalent O(8)Dy2Re2 trigonal pyramids,  an edgeedge with one O(5)Dy3Re tetrahedra, and edges with three equivalent O(2)Dy4 tetrahedra. In the fifth O site, O(3) is bonded in a 3-coordinate geometry to one Dy(5) and two equivalent Re(1) atoms. In the sixth O site, O(4) is bonded to one Dy(2), one Dy(3), and two equivalent Re(1) atoms to form distorted ODy2Re2 trigonal pyramids that share corners with two equivalent O(5)Dy3Re tetrahedra, corners with two equivalent O(2)Dy4 tetrahedra, corners with four equivalent O(6)Dy4 tetrahedra, edges with two equivalent O(5)Dy3Re tetrahedra, edges with two equivalent O(7)Dy3Re tetrahedra, and  an edgeedge with one O(8)Dy2Re2 trigonal pyramid. In the seventh O site, O(5) is bonded to one Dy(4), two equivalent Dy(3), and one Re(1) atom to form distorted ODy3Re tetrahedra that share  a cornercorner with one O(7)Dy3Re tetrahedra, corners with three equivalent O(5)Dy3Re tetrahedra, corners with six equivalent O(2)Dy4 tetrahedra,  a cornercorner with one O(4)Dy2Re2 trigonal pyramid,  an edgeedge with one O(2)Dy4 tetrahedra, edges with two equivalent O(5)Dy3Re tetrahedra,  an edgeedge with one O(4)Dy2Re2 trigonal pyramid, and  an edgeedge with one O(8)Dy2Re2 trigonal pyramid. In the eighth O site, O(6) is bonded to one Dy(1), one Dy(5), and two equivalent Dy(2) atoms to form ODy4 tetrahedra that share corners with two equivalent O(2)Dy4 tetrahedra, corners with two equivalent O(6)Dy4 tetrahedra, corners with six equivalent O(7)Dy3Re tetrahedra,  a cornercorner with one O(8)Dy2Re2 trigonal pyramid, corners with two equivalent O(4)Dy2Re2 trigonal pyramids,  an edgeedge with one O(7)Dy3Re tetrahedra, and edges with three equivalent O(6)Dy4 tetrahedra.
Dy5(ReO6)2 crystallizes in the monoclinic P2_1/m space group. There are five inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a 7-coordinate geometry to one O(8), two equivalent O(6), and four equivalent O(7) atoms. The Dy(1)-O(8) bond length is 2.31 Å. Both Dy(1)-O(6) bond lengths are 2.28 Å. There are two shorter (2.26 Å) and two longer (2.47 Å) Dy(1)-O(7) bond lengths. In the second Dy site, Dy(2) is bonded to one O(4), two equivalent O(7), and four equivalent O(6) atoms to form distorted DyO7 pentagonal bipyramids that share corners with two equivalent Dy(5)O6 octahedra,  an edgeedge with one Dy(5)O6 octahedra, edges with two equivalent Re(1)O6 octahedra, and edges with two equivalent Dy(2)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 57°. The Dy(2)-O(4) bond length is 2.39 Å. Both Dy(2)-O(7) bond lengths are 2.41 Å. There are two shorter (2.26 Å) and two longer (2.31 Å) Dy(2)-O(6) bond lengths. In the third Dy site, Dy(3) is bonded in a 7-coordinate geometry to one O(4), two equivalent O(2), and four equivalent O(5) atoms. The Dy(3)-O(4) bond length is 2.31 Å. Both Dy(3)-O(2) bond lengths are 2.28 Å. There are two shorter (2.26 Å) and two longer (2.47 Å) Dy(3)-O(5) bond lengths. In the fourth Dy site, Dy(4) is bonded to one O(8), two equivalent O(5), and four equivalent O(2) atoms to form distorted DyO7 pentagonal bipyramids that share corners with two equivalent Dy(5)O6 octahedra,  an edgeedge with one Dy(5)O6 octahedra, edges with two equivalent Re(1)O6 octahedra, and edges with two equivalent Dy(4)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. The Dy(4)-O(8) bond length is 2.38 Å. Both Dy(4)-O(5) bond lengths are 2.41 Å. There are two shorter (2.26 Å) and two longer (2.31 Å) Dy(4)-O(2) bond lengths. In the fifth Dy site, Dy(5) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(6) atoms to form DyO6 octahedra that share corners with four equivalent Re(1)O6 octahedra, corners with two equivalent Dy(2)O7 pentagonal bipyramids, corners with two equivalent Dy(4)O7 pentagonal bipyramids,  an edgeedge with one Dy(2)O7 pentagonal bipyramid, and  an edgeedge with one Dy(4)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 38°. The Dy(5)-O(1) bond length is 2.20 Å. The Dy(5)-O(3) bond length is 2.20 Å. Both Dy(5)-O(2) bond lengths are 2.30 Å. Both Dy(5)-O(6) bond lengths are 2.30 Å. Re(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form ReO6 octahedra that share corners with two equivalent Dy(5)O6 octahedra, edges with two equivalent Re(1)O6 octahedra,  an edgeedge with one Dy(2)O7 pentagonal bipyramid, and  an edgeedge with one Dy(4)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 38°. The Re(1)-O(1) bond length is 1.97 Å. The Re(1)-O(3) bond length is 1.97 Å. The Re(1)-O(4) bond length is 2.09 Å. The Re(1)-O(5) bond length is 1.96 Å. The Re(1)-O(7) bond length is 1.96 Å. The Re(1)-O(8) bond length is 2.09 Å. There are eight inequivalent O sites. In the first O site, O(7) is bonded to one Dy(2), two equivalent Dy(1), and one Re(1) atom to form distorted ODy3Re tetrahedra that share  a cornercorner with one O(5)Dy3Re tetrahedra, corners with three equivalent O(7)Dy3Re tetrahedra, corners with six equivalent O(6)Dy4 tetrahedra,  a cornercorner with one O(8)Dy2Re2 trigonal pyramid,  an edgeedge with one O(6)Dy4 tetrahedra, edges with two equivalent O(7)Dy3Re tetrahedra,  an edgeedge with one O(4)Dy2Re2 trigonal pyramid, and  an edgeedge with one O(8)Dy2Re2 trigonal pyramid. In the second O site, O(8) is bonded to one Dy(1), one Dy(4), and two equivalent Re(1) atoms to form distorted ODy2Re2 trigonal pyramids that share corners with two equivalent O(7)Dy3Re tetrahedra, corners with two equivalent O(6)Dy4 tetrahedra, corners with four equivalent O(2)Dy4 tetrahedra, edges with two equivalent O(5)Dy3Re tetrahedra, edges with two equivalent O(7)Dy3Re tetrahedra, and  an edgeedge with one O(4)Dy2Re2 trigonal pyramid. In the third O site, O(1) is bonded in a 3-coordinate geometry to one Dy(5) and two equivalent Re(1) atoms. In the fourth O site, O(2) is bonded to one Dy(3), one Dy(5), and two equivalent Dy(4) atoms to form ODy4 tetrahedra that share corners with two equivalent O(2)Dy4 tetrahedra, corners with two equivalent O(6)Dy4 tetrahedra, corners with six equivalent O(5)Dy3Re tetrahedra,  a cornercorner with one O(4)Dy2Re2 trigonal pyramid, corners with two equivalent O(8)Dy2Re2 trigonal pyramids,  an edgeedge with one O(5)Dy3Re tetrahedra, and edges with three equivalent O(2)Dy4 tetrahedra. In the fifth O site, O(3) is bonded in a 3-coordinate geometry to one Dy(5) and two equivalent Re(1) atoms. In the sixth O site, O(4) is bonded to one Dy(2), one Dy(3), and two equivalent Re(1) atoms to form distorted ODy2Re2 trigonal pyramids that share corners with two equivalent O(5)Dy3Re tetrahedra, corners with two equivalent O(2)Dy4 tetrahedra, corners with four equivalent O(6)Dy4 tetrahedra, edges with two equivalent O(5)Dy3Re tetrahedra, edges with two equivalent O(7)Dy3Re tetrahedra, and  an edgeedge with one O(8)Dy2Re2 trigonal pyramid. In the seventh O site, O(5) is bonded to one Dy(4), two equivalent Dy(3), and one Re(1) atom to form distorted ODy3Re tetrahedra that share  a cornercorner with one O(7)Dy3Re tetrahedra, corners with three equivalent O(5)Dy3Re tetrahedra, corners with six equivalent O(2)Dy4 tetrahedra,  a cornercorner with one O(4)Dy2Re2 trigonal pyramid,  an edgeedge with one O(2)Dy4 tetrahedra, edges with two equivalent O(5)Dy3Re tetrahedra,  an edgeedge with one O(4)Dy2Re2 trigonal pyramid, and  an edgeedge with one O(8)Dy2Re2 trigonal pyramid. In the eighth O site, O(6) is bonded to one Dy(1), one Dy(5), and two equivalent Dy(2) atoms to form ODy4 tetrahedra that share corners with two equivalent O(2)Dy4 tetrahedra, corners with two equivalent O(6)Dy4 tetrahedra, corners with six equivalent O(7)Dy3Re tetrahedra,  a cornercorner with one O(8)Dy2Re2 trigonal pyramid, corners with two equivalent O(4)Dy2Re2 trigonal pyramids,  an edgeedge with one O(7)Dy3Re tetrahedra, and edges with three equivalent O(6)Dy4 tetrahedra.