Mg14CuSn crystallizes in the orthorhombic Amm2 space group. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Mg10Cu2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CuSn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cu(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CuSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Cu2 cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cu 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 Cu(1), and two equivalent Sn(1) atoms to form distorted MgMg8Cu2Sn2 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)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(5)Mg10CuSn cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Cu2 cuboctahedra; and faces with eight Mg(5,5)Mg10CuSn 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)Mg8Cu2Sn2 cuboctahedra; corners with four equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Cu2 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)Mg10CuSn cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10CuSn cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; corners with four equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Cu2 cuboctahedra; corners with six equivalent Mg(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 Mg(5,5)Mg10CuSn cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10CuSn 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 Cu(1), and one Sn(1) atom to form distorted MgMg10CuSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Cu cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(6)Mg11Cu cuboctahedra; edges with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cu(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra. In the seventh 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 Cu(1), and one Sn(1) atom to form distorted MgMg10CuSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Cu cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(6)Mg11Cu cuboctahedra; edges with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cu(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10CuSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Cu(1) atom to form distorted MgMg11Cu cuboctahedra that share corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with six equivalent Mg(6)Mg11Cu cuboctahedra; corners with eight equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(7)Mg11Sn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with four Mg(5,5)Mg10CuSn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Cu(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Sn(1)Mg10Cu2 cuboctahedra; and faces with four Mg(5,5)Mg10CuSn cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(6)Mg11Cu cuboctahedra; corners with six equivalent Mg(7)Mg11Sn cuboctahedra; corners with eight equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(6)Mg11Cu cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra; edges with four Mg(5,5)Mg10CuSn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Cu(1)Mg10Sn2 cuboctahedra; and faces with four Mg(5,5)Mg10CuSn cuboctahedra. In the tenth 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)Mg8Cu2Sn2 cuboctahedra; corners with four equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Cu2 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)Mg10CuSn cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10CuSn cuboctahedra. Cu(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent Sn(1) atoms to form CuMg10Sn2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with eight Mg(5,5)Mg10CuSn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Cu2 cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. Sn(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Cu(1) atoms to form SnMg10Cu2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sn(1)Mg10Cu2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with eight Mg(5,5)Mg10CuSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cu(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cu cuboctahedra.
Mg14CuSn crystallizes in the orthorhombic Amm2 space group. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Mg10Cu2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CuSn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cu(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.15 Å. Both Mg(1)-Mg(6) bond lengths are 3.17 Å. There are two shorter (3.12 Å) and two longer (3.14 Å) Mg(1)-Mg(4,4,4) bond lengths. All Mg(1)-Mg(5,5) bond lengths are 3.18 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CuSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Cu2 cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cu cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.14 Å. There are two shorter (3.12 Å) and two longer (3.14 Å) Mg(2)-Mg(4,4,4) bond lengths. All Mg(2)-Mg(5,5) bond lengths are 3.21 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 Cu(1), and two equivalent Sn(1) atoms to form distorted MgMg8Cu2Sn2 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)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(5)Mg10CuSn cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Cu2 cuboctahedra; and faces with eight Mg(5,5)Mg10CuSn cuboctahedra. There is one shorter (3.14 Å) and one longer (3.15 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.12 Å. Both Mg(3)-Mg(6) bond lengths are 3.13 Å. Both Mg(3)-Mg(7) bond lengths are 3.17 Å. There is one shorter (3.12 Å) and one longer (3.13 Å) Mg(3)-Cu(1) bond length. There is one shorter (3.11 Å) and one longer (3.15 Å) Mg(3)-Sn(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)Mg8Cu2Sn2 cuboctahedra; corners with four equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Cu2 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)Mg10CuSn cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10CuSn cuboctahedra. There is one shorter (3.14 Å) and one longer (3.15 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.20 Å. Both Mg(4)-Mg(6) bond lengths are 3.20 Å. Both Mg(4)-Mg(7) bond lengths are 3.14 Å. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; corners with four equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Cu2 cuboctahedra; corners with six equivalent Mg(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 Mg(5,5)Mg10CuSn cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10CuSn cuboctahedra. There is one shorter (3.14 Å) and one longer (3.15 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5,5) bond lengths are 3.20 Å. Both Mg(4)-Mg(6) bond lengths are 3.20 Å. Both Mg(4)-Mg(7) bond lengths are 3.14 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 Cu(1), and one Sn(1) atom to form distorted MgMg10CuSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Cu cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(6)Mg11Cu cuboctahedra; edges with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cu(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra. There is one shorter (3.09 Å) and one longer (3.20 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.08 Å) and one longer (3.18 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.12 Å) and one longer (3.13 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Cu(1) bond length is 3.10 Å. The Mg(5)-Sn(1) bond length is 3.13 Å. In the seventh 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 Cu(1), and one Sn(1) atom to form distorted MgMg10CuSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Cu cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(6)Mg11Cu cuboctahedra; edges with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cu(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10CuSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra. The Mg(5)-Mg(3) bond length is 3.12 Å. There is one shorter (3.08 Å) and one longer (3.18 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.12 Å) and one longer (3.13 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Cu(1) bond length is 3.10 Å. The Mg(5)-Sn(1) bond length is 3.13 Å. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Cu(1) atom to form distorted MgMg11Cu cuboctahedra that share corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with six equivalent Mg(6)Mg11Cu cuboctahedra; corners with eight equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(7)Mg11Sn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with four Mg(5,5)Mg10CuSn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Cu(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Sn(1)Mg10Cu2 cuboctahedra; and faces with four Mg(5,5)Mg10CuSn cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.15 Å. The Mg(6)-Cu(1) bond length is 3.10 Å. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(6)Mg11Cu cuboctahedra; corners with six equivalent Mg(7)Mg11Sn cuboctahedra; corners with eight equivalent Mg(5)Mg10CuSn cuboctahedra; edges with two equivalent Mg(6)Mg11Cu cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra; edges with four Mg(5,5)Mg10CuSn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Cu(1)Mg10Sn2 cuboctahedra; and faces with four Mg(5,5)Mg10CuSn cuboctahedra. The Mg(7)-Sn(1) bond length is 3.17 Å. In the tenth 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)Mg8Cu2Sn2 cuboctahedra; corners with four equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Cu2 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)Mg10CuSn cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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)Mg8Cu2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10CuSn cuboctahedra. Both Mg(4)-Mg(5) bond lengths are 3.20 Å. Both Mg(4)-Mg(6) bond lengths are 3.20 Å. Both Mg(4)-Mg(7) bond lengths are 3.14 Å. Cu(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent Sn(1) atoms to form CuMg10Sn2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Cu(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(6)Mg11Cu cuboctahedra; edges with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with eight Mg(5,5)Mg10CuSn cuboctahedra; faces with two equivalent Mg(6)Mg11Cu cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Cu2 cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. Both Cu(1)-Sn(1) bond lengths are 3.15 Å. Sn(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Cu(1) atoms to form SnMg10Cu2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sn(1)Mg10Cu2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Cu(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; edges with eight Mg(5,5)Mg10CuSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cu(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5)Mg10CuSn cuboctahedra; faces with four equivalent Mg(3)Mg8Cu2Sn2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cu cuboctahedra.