RbMg14Zn 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)Mg10Zn2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Zn cuboctahedra; faces with two equivalent Zn(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)RbMg10Zn 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 Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra; corners with eight Mg(2,2)Rb2Mg10 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zn cuboctahedra. In the second 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 Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zn2 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)RbMg10Zn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zn cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Rb(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zn2 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 equivalent Mg(3)RbMg10Zn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zn 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 Mg(3,3); and one Zn(1) atom to form distorted MgRbMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Zn cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Zn cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zn cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Rb(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Zn(1) atom to form distorted MgRbMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Zn cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Zn cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zn 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)RbMg10Zn cuboctahedra; edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Zn cuboctahedra. Zn(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Zn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Zn cuboctahedra.
RbMg14Zn 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)Mg10Zn2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Zn cuboctahedra; faces with two equivalent Zn(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)RbMg10Zn cuboctahedra. All Rb(1)-Mg(2,2) bond lengths are 3.27 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 Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra; corners with eight Mg(2,2)Rb2Mg10 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zn cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.28 Å. There are two shorter (3.22 Å) and two longer (3.31 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3,3) bond lengths are 3.09 Å. Both Mg(1)-Zn(1) bond lengths are 3.27 Å. In the second 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 Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zn2 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)RbMg10Zn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zn cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.24 Å. There are two shorter (3.19 Å) and two longer (3.34 Å) Mg(2)-Mg(2,2) bond lengths. All Mg(2)-Mg(3,3) bond lengths are 3.41 Å. In the third Mg site, Mg(2) is bonded to two equivalent Rb(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zn2 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 equivalent Mg(3)RbMg10Zn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zn cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.24 Å. All Mg(2)-Mg(3) bond lengths are 3.41 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 Mg(3,3); and one Zn(1) atom to form distorted MgRbMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Zn cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Zn cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zn cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.28 Å. There are two shorter (3.21 Å) and two longer (3.33 Å) Mg(3)-Mg(3,3) bond lengths. The Mg(3)-Zn(1) bond length is 3.11 Å. In the fifth Mg site, Mg(3) is bonded to one Rb(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Zn(1) atom to form distorted MgRbMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Zn cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Zn cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zn cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.28 Å. The Mg(3)-Zn(1) bond length is 3.11 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)RbMg10Zn cuboctahedra; edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Zn cuboctahedra. Zn(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Zn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Zn cuboctahedra.