Mg14ZrCd crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zr(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Zr(1), and two equivalent Cd(1) atoms to form distorted MgMg8Zr2Cd2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Zr(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, faces with two equivalent Zr(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Zr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10ZrCd cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, corners with four equivalent Zr(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10ZrCd cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Zr(1), and one Cd(1) atom to form distorted MgMg10ZrCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with ten equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with two equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Zr(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Zr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Zr(1)Mg10Cd2 cuboctahedra,  a faceface with one Cd(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with six equivalent Mg(6)Mg11Zr cuboctahedra, corners with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Zr(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Zr(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cd(1)Mg10Zr2 cuboctahedra, and faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with six equivalent Mg(7)Mg11Cd cuboctahedra, corners with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cd(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Zr(1)Mg10Cd2 cuboctahedra, and faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra. Zr(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form ZrMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Zr(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cd(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Cd(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zr(1) atoms to form CdMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cd(1)Mg10Zr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zr(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra.
Mg14ZrCd crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.19 Å. Both Mg(1)-Mg(6) bond lengths are 3.13 Å. There are two shorter (3.21 Å) and two longer (3.22 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.14 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zr(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.17 Å. There are two shorter (3.21 Å) and two longer (3.22 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.16 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Zr(1), and two equivalent Cd(1) atoms to form distorted MgMg8Zr2Cd2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Zr(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, faces with two equivalent Zr(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Zr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10ZrCd cuboctahedra. There is one shorter (3.14 Å) and one longer (3.24 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.13 Å. Both Mg(3)-Mg(6) bond lengths are 3.15 Å. Both Mg(3)-Mg(7) bond lengths are 3.14 Å. There is one shorter (3.20 Å) and one longer (3.23 Å) Mg(3)-Zr(1) bond length. There is one shorter (3.16 Å) and one longer (3.27 Å) Mg(3)-Cd(1) bond length. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, corners with four equivalent Zr(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10ZrCd cuboctahedra. There is one shorter (3.19 Å) and one longer (3.20 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.17 Å. Both Mg(4)-Mg(6) bond lengths are 3.15 Å. Both Mg(4)-Mg(7) bond lengths are 3.17 Å. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Zr(1), and one Cd(1) atom to form distorted MgMg10ZrCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with ten equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with two equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with two equivalent Zr(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Zr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Zr(1)Mg10Cd2 cuboctahedra,  a faceface with one Cd(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra. There is one shorter (3.15 Å) and one longer (3.23 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.17 Å) and one longer (3.25 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.21 Å) and one longer (3.22 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Zr(1) bond length is 3.12 Å. The Mg(5)-Cd(1) bond length is 3.13 Å. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with six equivalent Mg(6)Mg11Zr cuboctahedra, corners with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Zr(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Zr(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cd(1)Mg10Zr2 cuboctahedra, and faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.19 Å. The Mg(6)-Zr(1) bond length is 3.13 Å. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with six equivalent Mg(7)Mg11Cd cuboctahedra, corners with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cd(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrCd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Zr(1)Mg10Cd2 cuboctahedra, and faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra. The Mg(7)-Cd(1) bond length is 3.14 Å. Zr(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form ZrMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Zr(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cd(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Both Zr(1)-Cd(1) bond lengths are 3.19 Å. Cd(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zr(1) atoms to form CdMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cd(1)Mg10Zr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zr(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrCd cuboctahedra, faces with four equivalent Mg(3)Mg8Zr2Cd2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra.