Mg14VZn crystallizes in the orthorhombic Amm2 space group. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent V(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10VZn cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10V2 cuboctahedra; faces with four Mg(5,5)Mg10VZn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11V cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zn(1)Mg10V2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10VZn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent V(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5)Mg10VZn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent V(1), and two equivalent Zn(1) atoms to form distorted MgMg8V2Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with six equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; faces with two equivalent V(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10V2 cuboctahedra; and faces with eight Mg(5,5)Mg10VZn cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; corners with four equivalent V(1)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10V2 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; and faces with eight Mg(5,5)Mg10VZn cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one V(1), and one Zn(1) atom to form distorted MgMg10VZn cuboctahedra that share corners with four equivalent Mg(7)Mg11V cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10VZn cuboctahedra; edges with two equivalent Mg(5)Mg10VZn cuboctahedra; edges with two equivalent Mg(7)Mg11V cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Mg10Zn2 cuboctahedra;  a faceface with one Zn(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four equivalent Mg(5)Mg10VZn cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one V(1), and one Zn(1) atom to form distorted MgMg10VZn cuboctahedra that share corners with four equivalent Mg(7)Mg11V cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10VZn cuboctahedra; edges with two equivalent Mg(5)Mg10VZn cuboctahedra; edges with two equivalent Mg(7)Mg11V cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Mg10Zn2 cuboctahedra;  a faceface with one Zn(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four equivalent Mg(5)Mg10VZn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)Mg11V cuboctahedra; corners with six equivalent Mg(6)Mg11Zn cuboctahedra; corners with eight Mg(5,5)Mg10VZn cuboctahedra; edges with two equivalent Mg(7)Mg11V cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent V(1)Mg10Zn2 cuboctahedra; and faces with four equivalent Mg(5)Mg10VZn cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one V(1) atom to form distorted MgMg11V cuboctahedra that share corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with six equivalent Mg(7)Mg11V cuboctahedra; corners with eight Mg(5,5)Mg10VZn cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Zn(1)Mg10V2 cuboctahedra; and faces with four equivalent Mg(5)Mg10VZn cuboctahedra. In the ninth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; corners with four equivalent V(1)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10V2 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; and faces with eight Mg(5,5)Mg10VZn cuboctahedra. V(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Zn(1) atoms to form VMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent V(1)Mg10Zn2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with eight Mg(5,5)Mg10VZn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10V2 cuboctahedra; faces with four Mg(5,5)Mg10VZn cuboctahedra; faces with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. Zn(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent V(1) atoms to form ZnMg10V2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zn(1)Mg10V2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with eight Mg(5,5)Mg10VZn cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent V(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5)Mg10VZn cuboctahedra; faces with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; and faces with six equivalent Mg(7)Mg11V cuboctahedra.
Mg14VZn crystallizes in the orthorhombic Amm2 space group. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent V(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10VZn cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10V2 cuboctahedra; faces with four Mg(5,5)Mg10VZn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11V cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.14 Å. Both Mg(1)-Mg(6) bond lengths are 3.14 Å. There are two shorter (3.12 Å) and two longer (3.15 Å) Mg(1)-Mg(4,4) bond lengths. All Mg(1)-Mg(5,5) bond lengths are 3.20 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zn(1)Mg10V2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10VZn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent V(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5)Mg10VZn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.14 Å. There are two shorter (3.13 Å) and two longer (3.15 Å) Mg(2)-Mg(4,4) bond lengths. All Mg(2)-Mg(5,5) bond lengths are 3.19 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent V(1), and two equivalent Zn(1) atoms to form distorted MgMg8V2Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with six equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; faces with two equivalent V(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10V2 cuboctahedra; and faces with eight Mg(5,5)Mg10VZn cuboctahedra. There is one shorter (3.10 Å) and one longer (3.17 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.06 Å. Both Mg(3)-Mg(6) bond lengths are 3.11 Å. Both Mg(3)-Mg(7) bond lengths are 3.09 Å. There is one shorter (3.12 Å) and one longer (3.16 Å) Mg(3)-V(1) bond length. There is one shorter (3.12 Å) and one longer (3.16 Å) Mg(3)-Zn(1) bond length. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; corners with four equivalent V(1)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10V2 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; and faces with eight Mg(5,5)Mg10VZn cuboctahedra. There is one shorter (3.13 Å) and one longer (3.14 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.22 Å. Both Mg(4)-Mg(6) bond lengths are 3.15 Å. Both Mg(4)-Mg(7) bond lengths are 3.16 Å. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one V(1), and one Zn(1) atom to form distorted MgMg10VZn cuboctahedra that share corners with four equivalent Mg(7)Mg11V cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10VZn cuboctahedra; edges with two equivalent Mg(5)Mg10VZn cuboctahedra; edges with two equivalent Mg(7)Mg11V cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Mg10Zn2 cuboctahedra;  a faceface with one Zn(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four equivalent Mg(5)Mg10VZn cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra. There is one shorter (3.12 Å) and one longer (3.15 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.10 Å) and one longer (3.17 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.08 Å) and one longer (3.19 Å) Mg(5)-Mg(7) bond length. The Mg(5)-V(1) bond length is 3.03 Å. The Mg(5)-Zn(1) bond length is 3.03 Å. In the sixth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one V(1), and one Zn(1) atom to form distorted MgMg10VZn cuboctahedra that share corners with four equivalent Mg(7)Mg11V cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10VZn cuboctahedra; edges with two equivalent Mg(5)Mg10VZn cuboctahedra; edges with two equivalent Mg(7)Mg11V cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Mg10Zn2 cuboctahedra;  a faceface with one Zn(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four equivalent Mg(5)Mg10VZn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra. The Mg(5)-Mg(3) bond length is 3.06 Å. The Mg(5)-Mg(4) bond length is 3.22 Å. There is one shorter (3.12 Å) and one longer (3.15 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.10 Å) and one longer (3.17 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.08 Å) and one longer (3.19 Å) Mg(5)-Mg(7) bond length. The Mg(5)-V(1) bond length is 3.03 Å. The Mg(5)-Zn(1) bond length is 3.03 Å. In the seventh Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)Mg11V cuboctahedra; corners with six equivalent Mg(6)Mg11Zn cuboctahedra; corners with eight Mg(5,5)Mg10VZn cuboctahedra; edges with two equivalent Mg(7)Mg11V cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent V(1)Mg10Zn2 cuboctahedra; and faces with four equivalent Mg(5)Mg10VZn cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.14 Å. The Mg(6)-Zn(1) bond length is 3.10 Å. In the eighth Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one V(1) atom to form distorted MgMg11V cuboctahedra that share corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with six equivalent Mg(7)Mg11V cuboctahedra; corners with eight Mg(5,5)Mg10VZn cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Zn(1)Mg10V2 cuboctahedra; and faces with four equivalent Mg(5)Mg10VZn cuboctahedra. The Mg(7)-V(1) bond length is 3.08 Å. In the ninth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; corners with four equivalent V(1)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10V2 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg10VZn cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8V2Zn2 cuboctahedra; and faces with eight Mg(5,5)Mg10VZn cuboctahedra. There is one shorter (3.13 Å) and one longer (3.14 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.22 Å. Both Mg(4)-Mg(6) bond lengths are 3.15 Å. Both Mg(4)-Mg(7) bond lengths are 3.16 Å. V(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Zn(1) atoms to form VMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent V(1)Mg10Zn2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(7)Mg11V cuboctahedra; edges with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with eight Mg(5,5)Mg10VZn cuboctahedra; faces with two equivalent Mg(7)Mg11V cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10V2 cuboctahedra; faces with four Mg(5,5)Mg10VZn cuboctahedra; faces with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. Both V(1)-Zn(1) bond lengths are 3.14 Å. Zn(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent V(1) atoms to form ZnMg10V2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zn(1)Mg10V2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; edges with eight Mg(5,5)Mg10VZn cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent V(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5)Mg10VZn cuboctahedra; faces with four equivalent Mg(3)Mg8V2Zn2 cuboctahedra; and faces with six equivalent Mg(7)Mg11V cuboctahedra.