Mg14LaCd 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)La2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Cd cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd 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 La(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)La2Mg8Cd2 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)LaMg10Cd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LaMg11 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 La(1), and two equivalent Cd(1) atoms to form distorted MgLa2Mg8Cd2 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)La2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(5)LaMg10Cd cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LaMg10Cd 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)La2Mg8Cd2 cuboctahedra, corners with four equivalent La(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)La2Mg10 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)LaMg10Cd cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd 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, and faces with eight equivalent Mg(5)LaMg10Cd 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 La(1), and one Cd(1) atom to form distorted MgLaMg10Cd cuboctahedra that share corners with four equivalent Mg(6)LaMg11 cuboctahedra, corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with ten equivalent Mg(5)LaMg10Cd cuboctahedra, edges with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(5)LaMg10Cd cuboctahedra, edges with two equivalent Mg(6)LaMg11 cuboctahedra, edges with two equivalent Mg(7)Mg11Cd 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 La(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Mg10Cd2 cuboctahedra,  a faceface with one Cd(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd cuboctahedra, and faces with four equivalent Mg(4)Mg12 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 La(1) atom to form MgLaMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with six equivalent Mg(6)LaMg11 cuboctahedra, corners with eight equivalent Mg(5)LaMg10Cd cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)LaMg10Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cd(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LaMg10Cd 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)LaMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Cd cuboctahedra, corners with eight equivalent Mg(5)LaMg10Cd cuboctahedra, edges with two equivalent Mg(6)LaMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)LaMg10Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent La(1)Mg10Cd2 cuboctahedra, and faces with four equivalent Mg(5)LaMg10Cd cuboctahedra. La(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form LaMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent La(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Cd cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd 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 La(1) atoms to form CdLa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cd(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with eight equivalent Mg(5)LaMg10Cd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd cuboctahedra, and faces with six equivalent Mg(6)LaMg11 cuboctahedra.
Mg14LaCd 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)La2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Cd cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd 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 3.28 Å. Both Mg(1)-Mg(6) bond lengths are 3.16 Å. All Mg(1)-Mg(4) bond lengths are 3.29 Å. All Mg(1)-Mg(5) bond lengths are 3.17 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 La(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)La2Mg8Cd2 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)LaMg10Cd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LaMg11 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.25 Å. There are two shorter (3.28 Å) and two longer (3.29 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.14 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 La(1), and two equivalent Cd(1) atoms to form distorted MgLa2Mg8Cd2 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)La2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(5)LaMg10Cd cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LaMg10Cd cuboctahedra. There is one shorter (3.16 Å) and one longer (3.39 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.24 Å. Both Mg(3)-Mg(6) bond lengths are 3.26 Å. Both Mg(3)-Mg(7) bond lengths are 3.21 Å. There is one shorter (3.28 Å) and one longer (3.30 Å) Mg(3)-La(1) bond length. There is one shorter (3.15 Å) and one longer (3.43 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)La2Mg8Cd2 cuboctahedra, corners with four equivalent La(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)La2Mg10 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)LaMg10Cd cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd 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, and faces with eight equivalent Mg(5)LaMg10Cd cuboctahedra. There is one shorter (3.27 Å) and one longer (3.28 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.14 Å. Both Mg(4)-Mg(6) bond lengths are 3.13 Å. Both Mg(4)-Mg(7) bond lengths are 3.26 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 La(1), and one Cd(1) atom to form distorted MgLaMg10Cd cuboctahedra that share corners with four equivalent Mg(6)LaMg11 cuboctahedra, corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with ten equivalent Mg(5)LaMg10Cd cuboctahedra, edges with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(5)LaMg10Cd cuboctahedra, edges with two equivalent Mg(6)LaMg11 cuboctahedra, edges with two equivalent Mg(7)Mg11Cd 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 La(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Mg10Cd2 cuboctahedra,  a faceface with one Cd(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.22 Å) and one longer (3.34 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.23 Å) and one longer (3.34 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.28 Å) and one longer (3.30 Å) Mg(5)-Mg(7) bond length. The Mg(5)-La(1) bond length is 3.30 Å. The Mg(5)-Cd(1) bond length is 3.24 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 La(1) atom to form MgLaMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with six equivalent Mg(6)LaMg11 cuboctahedra, corners with eight equivalent Mg(5)LaMg10Cd cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)LaMg10Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cd(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LaMg10Cd cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.28 Å. The Mg(6)-La(1) bond length is 3.30 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)LaMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Cd cuboctahedra, corners with eight equivalent Mg(5)LaMg10Cd cuboctahedra, edges with two equivalent Mg(6)LaMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)LaMg10Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent La(1)Mg10Cd2 cuboctahedra, and faces with four equivalent Mg(5)LaMg10Cd cuboctahedra. The Mg(7)-Cd(1) bond length is 3.21 Å. La(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form LaMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent La(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Cd cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Both La(1)-Cd(1) bond lengths are 3.28 Å. Cd(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form CdLa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cd(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with eight equivalent Mg(5)LaMg10Cd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Cd cuboctahedra, and faces with six equivalent Mg(6)LaMg11 cuboctahedra.