Mg14YZn crystallizes in the hexagonal P-6m2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Y2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(1,1)Y2Mg10 cuboctahedra; edges with eight equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with four Mg(1,1)Y2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)YMg10Zn 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 Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with four equivalent Y(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with eight Mg(1,1)Y2Mg10 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Y2Mg10 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with ten equivalent Mg(3)YMg10Zn cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Y2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Mg10Zn2 cuboctahedra, edges with two equivalent Y(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(1)Y2Mg10 cuboctahedra, edges with eight equivalent Mg(3)YMg10Zn cuboctahedra, faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Y(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)Y2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)YMg10Zn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four equivalent Mg(3); one Y(1); and one Zn(1) atom to form distorted MgYMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)YMg10Zn cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(1,1)Y2Mg10 cuboctahedra; edges with four equivalent Mg(3)YMg10Zn cuboctahedra;  a faceface with one Y(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with five Mg(1,1)Y2Mg10 cuboctahedra; and faces with six equivalent Mg(3)YMg10Zn 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)YMg10Zn cuboctahedra; edges with six equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with six Mg(1,1)Y2Mg10 cuboctahedra; edges with six equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with three Mg(1,1)Y2Mg10 cuboctahedra; faces with three equivalent Y(1)Mg12 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)YMg10Zn cuboctahedra. Y(1) is bonded to six Mg(1,1) and six equivalent Mg(3) atoms to form YMg12 cuboctahedra that share corners with six equivalent Y(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with six Mg(1,1)Y2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(1,1)Y2Mg10 cuboctahedra; and faces with six equivalent Mg(3)YMg10Zn cuboctahedra. Zn(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Y2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with twelve equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(3)YMg10Zn cuboctahedra.
Mg14YZn crystallizes in the hexagonal P-6m2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Y2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(1,1)Y2Mg10 cuboctahedra; edges with eight equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with four Mg(1,1)Y2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)YMg10Zn cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.17 Å. There are two shorter (3.12 Å) and two longer (3.34 Å) Mg(1)-Mg(1,1) bond lengths. All Mg(1)-Mg(3) bond lengths are 3.23 Å. Both Mg(1)-Y(1) bond lengths are 3.23 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 Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with four equivalent Y(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with eight Mg(1,1)Y2Mg10 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Y2Mg10 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with ten equivalent Mg(3)YMg10Zn cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.20 Å. There are two shorter (3.20 Å) and two longer (3.26 Å) Mg(2)-Mg(2) bond lengths. All Mg(2)-Mg(3) bond lengths are 3.11 Å. Both Mg(2)-Zn(1) bond lengths are 3.23 Å. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Y2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Mg10Zn2 cuboctahedra, edges with two equivalent Y(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(1)Y2Mg10 cuboctahedra, edges with eight equivalent Mg(3)YMg10Zn cuboctahedra, faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Y(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)Y2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)YMg10Zn cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.17 Å. All Mg(1)-Mg(3) bond lengths are 3.23 Å. Both Mg(1)-Y(1) bond lengths are 3.23 Å. In the fourth Mg site, Mg(3) is bonded to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four equivalent Mg(3); one Y(1); and one Zn(1) atom to form distorted MgYMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)YMg10Zn cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(1,1)Y2Mg10 cuboctahedra; edges with four equivalent Mg(3)YMg10Zn cuboctahedra;  a faceface with one Y(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with five Mg(1,1)Y2Mg10 cuboctahedra; and faces with six equivalent Mg(3)YMg10Zn cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.23 Å. There are two shorter (3.19 Å) and two longer (3.26 Å) Mg(3)-Mg(3) bond lengths. The Mg(3)-Y(1) bond length is 3.23 Å. The Mg(3)-Zn(1) bond length is 3.09 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)YMg10Zn cuboctahedra; edges with six equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with six Mg(1,1)Y2Mg10 cuboctahedra; edges with six equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with three Mg(1,1)Y2Mg10 cuboctahedra; faces with three equivalent Y(1)Mg12 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)YMg10Zn cuboctahedra. Y(1) is bonded to six Mg(1,1) and six equivalent Mg(3) atoms to form YMg12 cuboctahedra that share corners with six equivalent Y(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with six Mg(1,1)Y2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(1,1)Y2Mg10 cuboctahedra; and faces with six equivalent Mg(3)YMg10Zn cuboctahedra. Zn(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Y2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with twelve equivalent Mg(3)YMg10Zn cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(3)YMg10Zn cuboctahedra.