RbLiMg14 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)Li2Mg10 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbLiMg10 cuboctahedra; faces with two equivalent Li(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)RbLiMg10 cuboctahedra. Li(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form LiMg12 cuboctahedra that share corners with six equivalent Li(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Li2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbLiMg10 cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Li2Mg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbLiMg10 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Li(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Li2Mg10 cuboctahedra; corners with eight Mg(2,2)Rb2Mg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbLiMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with four equivalent Mg(1)Li2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbLiMg10 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 Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Li2Mg10 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)RbLiMg10 cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbLiMg10 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 Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Li2Mg10 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)RbLiMg10 cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbLiMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Rb(1); one Li(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); and four Mg(3,3) atoms to form distorted MgRbLiMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbLiMg10 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbLiMg10 cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Li2Mg10 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbLiMg10 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Rb(1), one Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), and four equivalent Mg(3) atoms to form distorted MgRbLiMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbLiMg10 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbLiMg10 cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Li2Mg10 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbLiMg10 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)RbLiMg10 cuboctahedra; edges with six equivalent Mg(1)Li2Mg10 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbLiMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Li(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Li2Mg10 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbLiMg10 cuboctahedra.
RbLiMg14 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)Li2Mg10 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbLiMg10 cuboctahedra; faces with two equivalent Li(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)RbLiMg10 cuboctahedra. All Rb(1)-Mg(2,2) bond lengths are 3.32 Å. All Rb(1)-Mg(3,3) bond lengths are 3.41 Å. Li(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form LiMg12 cuboctahedra that share corners with six equivalent Li(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Li2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbLiMg10 cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Li2Mg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbLiMg10 cuboctahedra. All Li(1)-Mg(1) bond lengths are 3.32 Å. All Li(1)-Mg(3,3) bond lengths are 3.15 Å. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Li(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Li2Mg10 cuboctahedra; corners with eight Mg(2,2)Rb2Mg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbLiMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with four equivalent Mg(1)Li2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbLiMg10 cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.27 Å. There are two shorter (3.30 Å) and two longer (3.33 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3,3) bond lengths are 3.10 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 Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Li2Mg10 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)RbLiMg10 cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbLiMg10 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.23 Å. There are two shorter (3.26 Å) and two longer (3.37 Å) Mg(2)-Mg(2,2) bond lengths. All Mg(2)-Mg(3,3) bond lengths are 3.35 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 Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Li2Mg10 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)RbLiMg10 cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbLiMg10 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.23 Å. All Mg(2)-Mg(3) bond lengths are 3.35 Å. In the fourth Mg site, Mg(3) is bonded to one Rb(1); one Li(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); and four Mg(3,3) atoms to form distorted MgRbLiMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbLiMg10 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbLiMg10 cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Li2Mg10 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbLiMg10 cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.32 Å. There are two shorter (3.21 Å) and two longer (3.42 Å) Mg(3)-Mg(3,3) bond lengths. In the fifth Mg site, Mg(3) is bonded to one Rb(1), one Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), and four equivalent Mg(3) atoms to form distorted MgRbLiMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbLiMg10 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbLiMg10 cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Li2Mg10 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbLiMg10 cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.32 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)RbLiMg10 cuboctahedra; edges with six equivalent Mg(1)Li2Mg10 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbLiMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Li(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Li2Mg10 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbLiMg10 cuboctahedra.