RbMg14Al crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form RbMg12 cuboctahedra that share corners with six equivalent Rb(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Al(1) atoms to form distorted MgMg10Al2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Al(1) atom to form distorted MgRbMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Al cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Al cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Al(1) atom to form distorted MgRbMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Al cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Al cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)RbMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. Al(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form AlMg12 cuboctahedra that share corners with six equivalent Al(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra.
RbMg14Al crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form RbMg12 cuboctahedra that share corners with six equivalent Rb(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. All Rb(1)-Mg(2,2) bond lengths are 3.25 Å. All Rb(1)-Mg(3,3) bond lengths are 3.45 Å. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Al(1) atoms to form distorted MgMg10Al2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.32 Å. There are two shorter (3.19 Å) and two longer (3.30 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3,3) bond lengths are 3.11 Å. Both Mg(1)-Al(1) bond lengths are 3.25 Å. In the second Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.24 Å. There are two shorter (3.17 Å) and two longer (3.33 Å) Mg(2)-Mg(2) bond lengths. All Mg(2)-Mg(3,3) bond lengths are 3.42 Å. In the third Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.24 Å. There is one shorter (3.17 Å) and one longer (3.33 Å) Mg(2)-Mg(2) bond length. All Mg(2)-Mg(3,3) bond lengths are 3.42 Å. In the fourth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Al(1) atom to form distorted MgRbMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Al cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Al cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.26 Å. There are two shorter (3.20 Å) and two longer (3.30 Å) Mg(3)-Mg(3) bond lengths. The Mg(3)-Al(1) bond length is 3.13 Å. In the fifth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Al(1) atom to form distorted MgRbMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Al cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Al cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.26 Å. There is one shorter (3.20 Å) and one longer (3.30 Å) Mg(3)-Mg(3) bond length. The Mg(3)-Al(1) bond length is 3.13 Å. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)RbMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. Al(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form AlMg12 cuboctahedra that share corners with six equivalent Al(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra.