KMg14Cd crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form KMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KMg10Cd cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. 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)K2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Cd cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd 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 K(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Cd2 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)KMg10Cd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)KMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Cd(1) atoms to form distorted MgK2Mg8Cd2 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)K2Mg8Cd2 cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(5)KMg10Cd cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)KMg10Cd 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 K(1)Mg10Cd2 cuboctahedra, corners with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, corners with four equivalent Cd(1)K2Mg10 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)KMg10Cd cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 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)KMg10Cd cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Cd(1) atom to form distorted MgKMg10Cd cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with ten equivalent Mg(5)KMg10Cd cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(5)KMg10Cd cuboctahedra, edges with two equivalent Mg(6)KMg11 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 Cd(1)K2Mg10 cuboctahedra,  a faceface with one K(1)Mg10Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one K(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with six equivalent Mg(6)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KMg10Cd cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)KMg10Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 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)K2Mg10 cuboctahedra, and faces with four equivalent Mg(5)KMg10Cd 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)KMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Cd cuboctahedra, corners with eight equivalent Mg(5)KMg10Cd cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)KMg10Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Cd cuboctahedra. Cd(1) is bonded to two equivalent K(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CdK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cd(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with eight equivalent Mg(5)KMg10Cd cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd cuboctahedra, and faces with six equivalent Mg(6)KMg11 cuboctahedra.
KMg14Cd crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form KMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KMg10Cd cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Both K(1)-Mg(6) bond lengths are 3.38 Å. There are two shorter (3.25 Å) and two longer (3.27 Å) K(1)-Mg(3) bond lengths. All K(1)-Mg(5) bond lengths are 3.37 Å. Both K(1)-Cd(1) bond lengths are 3.26 Å. 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)K2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Cd cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd 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 3.26 Å. Both Mg(1)-Mg(6) bond lengths are 3.17 Å. All Mg(1)-Mg(4) bond lengths are 3.26 Å. All Mg(1)-Mg(5) bond lengths are 3.19 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 K(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Cd2 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)KMg10Cd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)KMg11 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.28 Å. All Mg(2)-Mg(4) bond lengths are 3.26 Å. All Mg(2)-Mg(5) bond lengths are 3.13 Å. In the third Mg site, Mg(3) is bonded to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Cd(1) atoms to form distorted MgK2Mg8Cd2 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)K2Mg8Cd2 cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(5)KMg10Cd cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)KMg10Cd cuboctahedra. There is one shorter (3.17 Å) and one longer (3.34 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.32 Å. Both Mg(3)-Mg(6) bond lengths are 3.32 Å. Both Mg(3)-Mg(7) bond lengths are 3.23 Å. There is one shorter (3.19 Å) and one longer (3.33 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 K(1)Mg10Cd2 cuboctahedra, corners with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, corners with four equivalent Cd(1)K2Mg10 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)KMg10Cd cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 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)KMg10Cd cuboctahedra. There is one shorter (3.25 Å) and one longer (3.26 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 3.12 Å. Both Mg(4)-Mg(7) bond lengths are 3.28 Å. In the fifth Mg site, Mg(5) is bonded to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Cd(1) atom to form distorted MgKMg10Cd cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with ten equivalent Mg(5)KMg10Cd cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(5)KMg10Cd cuboctahedra, edges with two equivalent Mg(6)KMg11 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 Cd(1)K2Mg10 cuboctahedra,  a faceface with one K(1)Mg10Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.16 Å) and one longer (3.36 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.17 Å) and one longer (3.35 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.25 Å) and one longer (3.28 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Cd(1) bond length is 3.31 Å. In the sixth Mg site, Mg(6) is bonded to one K(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with six equivalent Mg(6)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KMg10Cd cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)KMg10Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 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)K2Mg10 cuboctahedra, and faces with four equivalent Mg(5)KMg10Cd cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.26 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)KMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Cd cuboctahedra, corners with eight equivalent Mg(5)KMg10Cd cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)KMg10Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Cd cuboctahedra. The Mg(7)-Cd(1) bond length is 3.23 Å. Cd(1) is bonded to two equivalent K(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CdK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cd(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with eight equivalent Mg(5)KMg10Cd cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)KMg10Cd cuboctahedra, and faces with six equivalent Mg(6)KMg11 cuboctahedra.