MgDy5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded in a 10-coordinate geometry to two equivalent Dy(3), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(2) atoms. There are five inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), two equivalent Dy(5), and four equivalent Dy(4) atoms to form DyDy12 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(1)Dy12 cuboctahedra, and faces with six equivalent Dy(5)Dy10Mg2 cuboctahedra. In the second Dy site, Dy(2) is bonded to four equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), and two equivalent Dy(4) atoms to form DyDy8Mg4 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(1)Dy12 cuboctahedra, edges with eight equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(1)Dy12 cuboctahedra, faces with four equivalent Dy(2)Dy8Mg4 cuboctahedra, and faces with six equivalent Dy(4)Dy10Mg2 cuboctahedra. In the third Dy site, Dy(3) is bonded to two equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), and four equivalent Dy(5) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(1)Dy12 cuboctahedra, edges with three equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with four equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with eight equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(1)Dy12 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(3)Dy10Mg2 cuboctahedra, and faces with four equivalent Dy(5)Dy10Mg2 cuboctahedra. In the fourth Dy site, Dy(4) is bonded to two equivalent Mg(1), two equivalent Dy(2), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(1) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(4)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with four equivalent Dy(1)Dy12 cuboctahedra, edges with eight equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(1)Dy12 cuboctahedra, and faces with six equivalent Dy(2)Dy8Mg4 cuboctahedra. In the fifth Dy site, Dy(5) is bonded to two equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(3) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(4)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(4)Dy10Mg2 cuboctahedra, edges with four equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with eight equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with two equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(5)Dy10Mg2 cuboctahedra, and faces with six equivalent Dy(1)Dy12 cuboctahedra.
MgDy5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded in a 10-coordinate geometry to two equivalent Dy(3), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(2) atoms. Both Mg(1)-Dy(3) bond lengths are 3.45 Å. Both Mg(1)-Dy(4) bond lengths are 3.57 Å. Both Mg(1)-Dy(5) bond lengths are 3.49 Å. All Mg(1)-Dy(2) bond lengths are 3.45 Å. There are five inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), two equivalent Dy(5), and four equivalent Dy(4) atoms to form DyDy12 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(1)Dy12 cuboctahedra, and faces with six equivalent Dy(5)Dy10Mg2 cuboctahedra. Both Dy(1)-Dy(1) bond lengths are 3.57 Å. Both Dy(1)-Dy(2) bond lengths are 3.59 Å. Both Dy(1)-Dy(3) bond lengths are 3.57 Å. Both Dy(1)-Dy(5) bond lengths are 3.51 Å. All Dy(1)-Dy(4) bond lengths are 3.46 Å. In the second Dy site, Dy(2) is bonded to four equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), and two equivalent Dy(4) atoms to form DyDy8Mg4 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(1)Dy12 cuboctahedra, edges with eight equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(1)Dy12 cuboctahedra, faces with four equivalent Dy(2)Dy8Mg4 cuboctahedra, and faces with six equivalent Dy(4)Dy10Mg2 cuboctahedra. Both Dy(2)-Dy(2) bond lengths are 3.57 Å. Both Dy(2)-Dy(3) bond lengths are 3.46 Å. Both Dy(2)-Dy(4) bond lengths are 3.53 Å. In the third Dy site, Dy(3) is bonded to two equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), and four equivalent Dy(5) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(1)Dy12 cuboctahedra, edges with three equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with four equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with eight equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(1)Dy12 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(3)Dy10Mg2 cuboctahedra, and faces with four equivalent Dy(5)Dy10Mg2 cuboctahedra. Both Dy(3)-Dy(3) bond lengths are 3.57 Å. All Dy(3)-Dy(5) bond lengths are 3.46 Å. In the fourth Dy site, Dy(4) is bonded to two equivalent Mg(1), two equivalent Dy(2), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(1) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(4)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with four equivalent Dy(1)Dy12 cuboctahedra, edges with eight equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(1)Dy12 cuboctahedra, and faces with six equivalent Dy(2)Dy8Mg4 cuboctahedra. Both Dy(4)-Dy(4) bond lengths are 3.57 Å. Both Dy(4)-Dy(5) bond lengths are 3.56 Å. In the fifth Dy site, Dy(5) is bonded to two equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(3) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(4)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(4)Dy10Mg2 cuboctahedra, edges with four equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with eight equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with two equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(5)Dy10Mg2 cuboctahedra, and faces with six equivalent Dy(1)Dy12 cuboctahedra. Both Dy(5)-Dy(5) bond lengths are 3.57 Å.