Mg14WZn crystallizes in the hexagonal P-6m2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with four equivalent W(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Zn2 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, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Zn(1)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a distorted linear geometry to two equivalent Mg(4) and two equivalent W(1) atoms. In the third Mg site, Mg(3) is bonded in a 2-coordinate geometry to two equivalent Mg(1), two equivalent Mg(4), one W(1), and one Zn(1) atom. In the fourth Mg site, Mg(4) is bonded to three equivalent Mg(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, edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with three equivalent W(1)Mg12 cuboctahedra, and faces with three equivalent Zn(1)Mg12 cuboctahedra. W(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form WMg12 cuboctahedra that share corners with six equivalent W(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Zn(1)Mg12 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. Zn(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra, edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent W(1)Mg12 cuboctahedra, faces with six equivalent Mg(1)Mg10Zn2 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra.
Mg14WZn crystallizes in the hexagonal P-6m2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with four equivalent W(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Zn2 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, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Zn(1)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.07 Å. There are two shorter (3.12 Å) and two longer (3.13 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3) bond lengths are 3.12 Å. Both Mg(1)-Zn(1) bond lengths are 3.13 Å. In the second Mg site, Mg(2) is bonded in a distorted linear geometry to two equivalent Mg(4) and two equivalent W(1) atoms. Both Mg(2)-Mg(4) bond lengths are 3.06 Å. Both Mg(2)-W(1) bond lengths are 3.13 Å. In the third Mg site, Mg(3) is bonded in a 2-coordinate geometry to two equivalent Mg(1), two equivalent Mg(4), one W(1), and one Zn(1) atom. Both Mg(3)-Mg(4) bond lengths are 3.13 Å. The Mg(3)-W(1) bond length is 2.98 Å. The Mg(3)-Zn(1) bond length is 3.05 Å. In the fourth Mg site, Mg(4) is bonded to three equivalent Mg(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, edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with three equivalent W(1)Mg12 cuboctahedra, and faces with three equivalent Zn(1)Mg12 cuboctahedra. W(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form WMg12 cuboctahedra that share corners with six equivalent W(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Zn(1)Mg12 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. Zn(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra, edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent W(1)Mg12 cuboctahedra, faces with six equivalent Mg(1)Mg10Zn2 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra.