RbMg14Ga crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six Mg(1,1) and six equivalent Mg(3) atoms to form RbMg12 cuboctahedra that share corners with six equivalent Rb(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with six Mg(1,1)Rb2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)RbMg10Ga cuboctahedra; faces with two equivalent Ga(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(1,1)Rb2Mg10 cuboctahedra; and faces with six equivalent Mg(3)RbMg10Ga cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Rb(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Ga(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Rb2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Mg10Ga2 cuboctahedra, edges with two equivalent Rb(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(1)Rb2Mg10 cuboctahedra, edges with eight equivalent Mg(3)RbMg10Ga cuboctahedra, faces with two equivalent Rb(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(1)Rb2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)RbMg10Ga cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(1)Rb2Mg10 cuboctahedra, edges with two equivalent Ga(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(3)RbMg10Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(1)Rb2Mg10 cuboctahedra, faces with two equivalent Ga(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg10Ga2 cuboctahedra, and faces with ten equivalent Mg(3)RbMg10Ga cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Rb(1); two equivalent Mg(4); four Mg(1,1); and four equivalent Mg(3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Ga(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(1,1)Rb2Mg10 cuboctahedra; edges with eight equivalent Mg(3)RbMg10Ga cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(1,1)Rb2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)RbMg10Ga cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Rb(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four equivalent Mg(3); and one Ga(1) atom to form distorted MgRbMg10Ga cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)RbMg10Ga cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with four Mg(1,1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Ga cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Ga(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Mg10Ga2 cuboctahedra; faces with five Mg(1,1)Rb2Mg10 cuboctahedra; and faces with six equivalent Mg(3)RbMg10Ga cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)RbMg10Ga cuboctahedra; edges with six equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with six Mg(1,1)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(3)RbMg10Ga cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(2)Mg10Ga2 cuboctahedra; faces with three Mg(1,1)Rb2Mg10 cuboctahedra; faces with three equivalent Ga(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)RbMg10Ga cuboctahedra. Ga(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form GaMg12 cuboctahedra that share corners with six equivalent Ga(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with twelve equivalent Mg(3)RbMg10Ga cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Mg10Ga2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(3)RbMg10Ga cuboctahedra.
RbMg14Ga crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six Mg(1,1) and six equivalent Mg(3) atoms to form RbMg12 cuboctahedra that share corners with six equivalent Rb(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with six Mg(1,1)Rb2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)RbMg10Ga cuboctahedra; faces with two equivalent Ga(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(1,1)Rb2Mg10 cuboctahedra; and faces with six equivalent Mg(3)RbMg10Ga cuboctahedra. All Rb(1)-Mg(1,1) bond lengths are 3.25 Å. All Rb(1)-Mg(3) bond lengths are 3.43 Å. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Rb(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Ga(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Rb2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Mg10Ga2 cuboctahedra, edges with two equivalent Rb(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(1)Rb2Mg10 cuboctahedra, edges with eight equivalent Mg(3)RbMg10Ga cuboctahedra, faces with two equivalent Rb(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(1)Rb2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)RbMg10Ga cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.24 Å. There are two shorter (3.19 Å) and two longer (3.32 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3) bond lengths are 3.39 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(1)Rb2Mg10 cuboctahedra, edges with two equivalent Ga(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(3)RbMg10Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(1)Rb2Mg10 cuboctahedra, faces with two equivalent Ga(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg10Ga2 cuboctahedra, and faces with ten equivalent Mg(3)RbMg10Ga cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.31 Å. There are two shorter (3.22 Å) and two longer (3.29 Å) Mg(2)-Mg(2) bond lengths. All Mg(2)-Mg(3) bond lengths are 3.13 Å. Both Mg(2)-Ga(1) bond lengths are 3.25 Å. In the third Mg site, Mg(1) is bonded to two equivalent Rb(1); two equivalent Mg(4); four Mg(1,1); and four equivalent Mg(3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Ga(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(1,1)Rb2Mg10 cuboctahedra; edges with eight equivalent Mg(3)RbMg10Ga cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(1,1)Rb2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)RbMg10Ga cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.24 Å. There is one shorter (3.19 Å) and one longer (3.32 Å) Mg(1)-Mg(1) bond length. All Mg(1)-Mg(3) bond lengths are 3.39 Å. In the fourth Mg site, Mg(3) is bonded to one Rb(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four equivalent Mg(3); and one Ga(1) atom to form distorted MgRbMg10Ga cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)RbMg10Ga cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with four Mg(1,1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Ga cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Ga(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Mg10Ga2 cuboctahedra; faces with five Mg(1,1)Rb2Mg10 cuboctahedra; and faces with six equivalent Mg(3)RbMg10Ga cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.26 Å. There are two shorter (3.19 Å) and two longer (3.32 Å) Mg(3)-Mg(3) bond lengths. The Mg(3)-Ga(1) bond length is 3.16 Å. In the fifth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)RbMg10Ga cuboctahedra; edges with six equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with six Mg(1,1)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(3)RbMg10Ga cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(2)Mg10Ga2 cuboctahedra; faces with three Mg(1,1)Rb2Mg10 cuboctahedra; faces with three equivalent Ga(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)RbMg10Ga cuboctahedra. Ga(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form GaMg12 cuboctahedra that share corners with six equivalent Ga(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Ga2 cuboctahedra; edges with twelve equivalent Mg(3)RbMg10Ga cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Mg10Ga2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(3)RbMg10Ga cuboctahedra.