RbMg14Cd crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(6); four Mg(3,3); four Mg(5,5); and two equivalent Cd(1) atoms to form RbMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Rb(1)Mg10Cd2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(6)RbMg11 cuboctahedra; edges with eight Mg(5,5)RbMg10Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Cd(1)Rb2Mg10 cuboctahedra; faces with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; faces with four Mg(5,5)RbMg10Cd cuboctahedra; and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. There are nine 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Rb2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(6)RbMg11 cuboctahedra; edges with eight Mg(5,5)RbMg10Cd cuboctahedra; faces with two equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(5,5)RbMg10Cd 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3)Rb2Mg8Cd2 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 Mg(5,5)RbMg10Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Rb2Mg10 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(5,5)RbMg10Cd cuboctahedra; and faces with six equivalent Mg(6)RbMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Rb(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 MgRb2Mg8Cd2 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 Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(5)RbMg10Cd cuboctahedra; edges with four equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Cd(1)Rb2Mg10 cuboctahedra; and faces with eight Mg(5,5)RbMg10Cd 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 Rb(1)Mg10Cd2 cuboctahedra; corners with four equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; corners with four equivalent Cd(1)Rb2Mg10 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(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(5)RbMg10Cd cuboctahedra; edges with four equivalent Mg(6)RbMg11 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; faces with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; and faces with eight Mg(5,5)RbMg10Cd cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Rb(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 MgRb2Mg8Cd2 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)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(5)RbMg10Cd cuboctahedra; edges with four equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Cd(1)Rb2Mg10 cuboctahedra; and faces with eight Mg(5,5)RbMg10Cd cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Rb(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 MgRbMg10Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)RbMg11 cuboctahedra; corners with ten Mg(5,5)RbMg10Cd cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 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 Mg(3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(5)RbMg10Cd cuboctahedra; edges with two equivalent Mg(6)RbMg11 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra;  a faceface with one Rb(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)Rb2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; and faces with four Mg(5,5)RbMg10Cd cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Rb(1); one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); and four Mg(5,5) atoms to form distorted MgRbMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with six equivalent Mg(6)RbMg11 cuboctahedra; corners with eight Mg(5,5)RbMg10Cd cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with four Mg(5,5)RbMg10Cd cuboctahedra;  a faceface with one Rb(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Cd(1)Rb2Mg10 cuboctahedra; and faces with four Mg(5,5)RbMg10Cd cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)RbMg11 cuboctahedra; corners with six equivalent Mg(7)Mg11Cd cuboctahedra; corners with eight Mg(5,5)RbMg10Cd cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(6)RbMg11 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with four Mg(5,5)RbMg10Cd cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Rb2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with three equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with four Mg(5,5)RbMg10Cd cuboctahedra. In the ninth Mg site, Mg(5) is bonded to one Rb(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 MgRbMg10Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)RbMg11 cuboctahedra; corners with ten Mg(5,5)RbMg10Cd cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 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 Mg(3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(5)RbMg10Cd cuboctahedra; edges with two equivalent Mg(6)RbMg11 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra;  a faceface with one Rb(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)Rb2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; and faces with four Mg(5,5)RbMg10Cd cuboctahedra. Cd(1) is bonded to two equivalent Rb(1); two equivalent Mg(7); four Mg(3,3); and four Mg(5,5) atoms to form CdRb2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Cd(1)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with eight Mg(5,5)RbMg10Cd cuboctahedra; faces with two equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; faces with four Mg(5,5)RbMg10Cd cuboctahedra; and faces with six equivalent Mg(6)RbMg11 cuboctahedra.
RbMg14Cd crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(6); four Mg(3,3); four Mg(5,5); and two equivalent Cd(1) atoms to form RbMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Rb(1)Mg10Cd2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(6)RbMg11 cuboctahedra; edges with eight Mg(5,5)RbMg10Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Cd(1)Rb2Mg10 cuboctahedra; faces with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; faces with four Mg(5,5)RbMg10Cd cuboctahedra; and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Both Rb(1)-Mg(6) bond lengths are 3.46 Å. There are two shorter (3.29 Å) and two longer (3.30 Å) Rb(1)-Mg(3,3) bond lengths. All Rb(1)-Mg(5,5) bond lengths are 3.45 Å. Both Rb(1)-Cd(1) bond lengths are 3.30 Å. There are nine 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Rb2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(6)RbMg11 cuboctahedra; edges with eight Mg(5,5)RbMg10Cd cuboctahedra; faces with two equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(5,5)RbMg10Cd cuboctahedra; and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.30 Å. Both Mg(1)-Mg(6) bond lengths are 3.18 Å. There are two shorter (3.29 Å) and two longer (3.30 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5,5) 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3)Rb2Mg8Cd2 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 Mg(5,5)RbMg10Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Rb2Mg10 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(5,5)RbMg10Cd cuboctahedra; and faces with six equivalent Mg(6)RbMg11 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.31 Å. There are two shorter (3.29 Å) and two longer (3.30 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5,5) bond lengths are 3.13 Å. In the third Mg site, Mg(3) is bonded to two equivalent Rb(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 MgRb2Mg8Cd2 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 Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(5)RbMg10Cd cuboctahedra; edges with four equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Cd(1)Rb2Mg10 cuboctahedra; and faces with eight Mg(5,5)RbMg10Cd cuboctahedra. There is one shorter (3.20 Å) and one longer (3.39 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.37 Å. Both Mg(3)-Mg(6) bond lengths are 3.38 Å. Both Mg(3)-Mg(7) bond lengths are 3.27 Å. There is one shorter (3.21 Å) and one longer (3.38 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 Rb(1)Mg10Cd2 cuboctahedra; corners with four equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; corners with four equivalent Cd(1)Rb2Mg10 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(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(5)RbMg10Cd cuboctahedra; edges with four equivalent Mg(6)RbMg11 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; faces with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; and faces with eight Mg(5,5)RbMg10Cd cuboctahedra. There is one shorter (3.28 Å) and one longer (3.31 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.13 Å. Both Mg(4)-Mg(6) bond lengths are 3.12 Å. Both Mg(4)-Mg(7) bond lengths are 3.31 Å. In the fifth Mg site, Mg(3) is bonded to two equivalent Rb(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 MgRb2Mg8Cd2 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)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(5)RbMg10Cd cuboctahedra; edges with four equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with two equivalent Cd(1)Rb2Mg10 cuboctahedra; and faces with eight Mg(5,5)RbMg10Cd cuboctahedra. There is one shorter (3.20 Å) and one longer (3.39 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.37 Å. Both Mg(3)-Mg(6) bond lengths are 3.38 Å. Both Mg(3)-Mg(7) bond lengths are 3.27 Å. There is one shorter (3.21 Å) and one longer (3.38 Å) Mg(3)-Cd(1) bond length. In the sixth Mg site, Mg(5) is bonded to one Rb(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 MgRbMg10Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)RbMg11 cuboctahedra; corners with ten Mg(5,5)RbMg10Cd cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 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 Mg(3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(5)RbMg10Cd cuboctahedra; edges with two equivalent Mg(6)RbMg11 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra;  a faceface with one Rb(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)Rb2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; and faces with four Mg(5,5)RbMg10Cd cuboctahedra. There is one shorter (3.17 Å) and one longer (3.42 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.17 Å) and one longer (3.42 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.30 Å) and one longer (3.31 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Cd(1) bond length is 3.37 Å. In the seventh Mg site, Mg(6) is bonded to one Rb(1); one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); and four Mg(5,5) atoms to form distorted MgRbMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with six equivalent Mg(6)RbMg11 cuboctahedra; corners with eight Mg(5,5)RbMg10Cd cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with four Mg(5,5)RbMg10Cd cuboctahedra;  a faceface with one Rb(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Cd(1)Rb2Mg10 cuboctahedra; and faces with four Mg(5,5)RbMg10Cd cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.30 Å. There is one shorter (3.17 Å) and one longer (3.42 Å) Mg(6)-Mg(5) bond length. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)RbMg11 cuboctahedra; corners with six equivalent Mg(7)Mg11Cd cuboctahedra; corners with eight Mg(5,5)RbMg10Cd cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(6)RbMg11 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with four Mg(5,5)RbMg10Cd cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Rb2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Rb2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with three equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with four Mg(5,5)RbMg10Cd cuboctahedra. There is one shorter (3.30 Å) and one longer (3.31 Å) Mg(7)-Mg(5) bond length. The Mg(7)-Cd(1) bond length is 3.26 Å. In the ninth Mg site, Mg(5) is bonded to one Rb(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 MgRbMg10Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)RbMg11 cuboctahedra; corners with ten Mg(5,5)RbMg10Cd cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 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 Mg(3)Rb2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(5)RbMg10Cd cuboctahedra; edges with two equivalent Mg(6)RbMg11 cuboctahedra; edges with two equivalent Cd(1)Rb2Mg10 cuboctahedra;  a faceface with one Rb(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)Rb2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)RbMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(3)Rb2Mg8Cd2 cuboctahedra; and faces with four Mg(5,5)RbMg10Cd cuboctahedra. The Mg(5)-Mg(3) bond length is 3.37 Å. The Mg(5)-Mg(4) bond length is 3.13 Å. The Mg(5)-Cd(1) bond length is 3.37 Å. Cd(1) is bonded to two equivalent Rb(1); two equivalent Mg(7); four Mg(3,3); and four Mg(5,5) atoms to form CdRb2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Cd(1)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Rb(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; edges with eight Mg(5,5)RbMg10Cd cuboctahedra; faces with two equivalent Rb(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(3,3)Rb2Mg8Cd2 cuboctahedra; faces with four Mg(5,5)RbMg10Cd cuboctahedra; and faces with six equivalent Mg(6)RbMg11 cuboctahedra.