Mg14ZnBi crystallizes in the orthorhombic Amm2 space group. There are fifteen 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(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Bi(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi 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(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)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 Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Zn(1); and two equivalent Bi(1) atoms to form distorted MgMg8Zn2Bi2 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 Mg(3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra. In the fourth 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)Mg8Zn2Bi2 cuboctahedra; corners with four equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Zn2 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)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Zn(1); and two equivalent Bi(1) atoms to form distorted MgMg8Zn2Bi2 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 Mg(3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra. In the sixth 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)Mg8Zn2Bi2 cuboctahedra; corners with four equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Zn2 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)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10ZnBi 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 Zn(1), and one Bi(1) atom to form distorted MgMg10ZnBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Zn2Bi2 cuboctahedra. In the eighth 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 Zn(1), and one Bi(1) atom to form distorted MgMg10ZnBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Zn2Bi2 cuboctahedra. In the ninth 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 Zn(1), and one Bi(1) atom to form distorted MgMg10ZnBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Zn2Bi2 cuboctahedra. In the tenth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with six equivalent Mg(6)Mg11Zn cuboctahedra; corners with eight Mg(5,5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with four Mg(5,5,5)Mg10ZnBi cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Zn2Bi2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra. In the eleventh Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5,5); and one Bi(1) atom to form distorted MgMg11Bi cuboctahedra that share corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with six equivalent Mg(7)Mg11Bi cuboctahedra; corners with eight Mg(5,5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5,5)Mg10ZnBi cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Zn2Bi2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Zn(1)Mg10Bi2 cuboctahedra; and faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra. In the twelfth 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 Zn(1), and two equivalent Bi(1) atoms to form distorted MgMg8Zn2Bi2 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 Mg(3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10ZnBi cuboctahedra. In the thirteenth 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)Mg8Zn2Bi2 cuboctahedra; corners with four equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Zn2 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 Mg(5,5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10ZnBi cuboctahedra. In the fourteenth 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 Zn(1), and two equivalent Bi(1) atoms to form distorted MgMg8Zn2Bi2 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 Mg(3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10ZnBi cuboctahedra. In the fifteenth 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 Zn(1), and one Bi(1) atom to form distorted MgMg10ZnBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Zn2Bi2 cuboctahedra. Zn(1) is bonded to two equivalent Mg(6); four Mg(3,3,3,3); four Mg(5,5,5); and two equivalent Bi(1) atoms to form ZnMg10Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra; faces with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi cuboctahedra. Bi(1) is bonded to two equivalent Mg(7); four Mg(3,3,3,3); four Mg(5,5,5); and two equivalent Zn(1) atoms to form BiMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Bi(1)Mg10Zn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra; faces with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn cuboctahedra.
Mg14ZnBi crystallizes in the orthorhombic Amm2 space group. There are fifteen 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(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Bi(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.25 Å. Both Mg(1)-Mg(6) bond lengths are 3.17 Å. There are two shorter (3.17 Å) and two longer (3.18 Å) Mg(1)-Mg(4,4,4) bond lengths. All Mg(1)-Mg(5,5,5) bond lengths are 3.17 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(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.15 Å. There are two shorter (3.17 Å) and two longer (3.18 Å) Mg(2)-Mg(4,4,4) bond lengths. All Mg(2)-Mg(5,5,5) bond lengths are 3.20 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Zn(1); and two equivalent Bi(1) atoms to form distorted MgMg8Zn2Bi2 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 Mg(3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra. There is one shorter (3.25 Å) and one longer (3.26 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5,5) bond lengths are 3.17 Å. Both Mg(3)-Mg(6) bond lengths are 3.18 Å. Both Mg(3)-Mg(7) bond lengths are 3.22 Å. There is one shorter (3.15 Å) and one longer (3.20 Å) Mg(3)-Zn(1) bond length. There is one shorter (3.17 Å) and one longer (3.18 Å) Mg(3)-Bi(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 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)Mg8Zn2Bi2 cuboctahedra; corners with four equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Zn2 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)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra. Both Mg(4)-Mg(4) bond lengths are 3.25 Å. Both Mg(4)-Mg(5,5) bond lengths are 3.16 Å. Both Mg(4)-Mg(6) bond lengths are 3.21 Å. Both Mg(4)-Mg(7) bond lengths are 3.15 Å. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Zn(1); and two equivalent Bi(1) atoms to form distorted MgMg8Zn2Bi2 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 Mg(3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra. There is one shorter (3.25 Å) and one longer (3.26 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5,5) bond lengths are 3.17 Å. Both Mg(3)-Mg(6) bond lengths are 3.18 Å. Both Mg(3)-Mg(7) bond lengths are 3.22 Å. There is one shorter (3.15 Å) and one longer (3.20 Å) Mg(3)-Zn(1) bond length. There is one shorter (3.17 Å) and one longer (3.18 Å) Mg(3)-Bi(1) bond length. In the sixth 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)Mg8Zn2Bi2 cuboctahedra; corners with four equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Zn2 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)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra. Both Mg(4)-Mg(4) bond lengths are 3.25 Å. Both Mg(4)-Mg(5,5) bond lengths are 3.16 Å. Both Mg(4)-Mg(6) bond lengths are 3.21 Å. Both Mg(4)-Mg(7) bond lengths are 3.15 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 Zn(1), and one Bi(1) atom to form distorted MgMg10ZnBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Zn2Bi2 cuboctahedra. There is one shorter (3.18 Å) and one longer (3.32 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.14 Å) and one longer (3.20 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.14 Å) and one longer (3.21 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Zn(1) bond length is 3.18 Å. The Mg(5)-Bi(1) bond length is 3.21 Å. In the eighth 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 Zn(1), and one Bi(1) atom to form distorted MgMg10ZnBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Zn2Bi2 cuboctahedra. The Mg(5)-Mg(1) bond length is 3.17 Å. The Mg(5)-Mg(2) bond length is 3.20 Å. There is one shorter (3.18 Å) and one longer (3.32 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.14 Å) and one longer (3.20 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.14 Å) and one longer (3.21 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Zn(1) bond length is 3.18 Å. The Mg(5)-Bi(1) bond length is 3.21 Å. In the ninth 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 Zn(1), and one Bi(1) atom to form distorted MgMg10ZnBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Zn2Bi2 cuboctahedra. There is one shorter (3.18 Å) and one longer (3.32 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.14 Å) and one longer (3.20 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.14 Å) and one longer (3.21 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Zn(1) bond length is 3.18 Å. The Mg(5)-Bi(1) bond length is 3.21 Å. In the tenth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with six equivalent Mg(6)Mg11Zn cuboctahedra; corners with eight Mg(5,5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with four Mg(5,5,5)Mg10ZnBi cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Zn2Bi2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra. The Mg(6)-Mg(3) bond length is 3.18 Å. The Mg(6)-Mg(4) bond length is 3.21 Å. Both Mg(6)-Mg(7) bond lengths are 3.25 Å. There is one shorter (3.14 Å) and one longer (3.20 Å) Mg(6)-Mg(5) bond length. The Mg(6)-Zn(1) bond length is 3.14 Å. In the eleventh Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5,5); and one Bi(1) atom to form distorted MgMg11Bi cuboctahedra that share corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with six equivalent Mg(7)Mg11Bi cuboctahedra; corners with eight Mg(5,5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5,5)Mg10ZnBi cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Zn2Bi2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Zn(1)Mg10Bi2 cuboctahedra; and faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra. The Mg(7)-Mg(3) bond length is 3.22 Å. The Mg(7)-Mg(4) bond length is 3.15 Å. There is one shorter (3.14 Å) and one longer (3.21 Å) Mg(7)-Mg(5) bond length. The Mg(7)-Bi(1) bond length is 3.21 Å. In the twelfth 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 Zn(1), and two equivalent Bi(1) atoms to form distorted MgMg8Zn2Bi2 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 Mg(3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10ZnBi cuboctahedra. Both Mg(3)-Mg(5) bond lengths are 3.17 Å. Both Mg(3)-Mg(6) bond lengths are 3.18 Å. Both Mg(3)-Mg(7) bond lengths are 3.22 Å. There is one shorter (3.15 Å) and one longer (3.20 Å) Mg(3)-Zn(1) bond length. There is one shorter (3.17 Å) and one longer (3.18 Å) Mg(3)-Bi(1) bond length. In the thirteenth 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)Mg8Zn2Bi2 cuboctahedra; corners with four equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Zn2 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 Mg(5,5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10ZnBi cuboctahedra. Both Mg(4)-Mg(5) bond lengths are 3.16 Å. In the fourteenth 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 Zn(1), and two equivalent Bi(1) atoms to form distorted MgMg8Zn2Bi2 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 Mg(3,3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5)Mg10ZnBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Bi2 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10ZnBi cuboctahedra. Both Mg(3)-Mg(5) bond lengths are 3.17 Å. There is one shorter (3.15 Å) and one longer (3.20 Å) Mg(3)-Zn(1) bond length. There is one shorter (3.17 Å) and one longer (3.18 Å) Mg(3)-Bi(1) bond length. In the fifteenth 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 Zn(1), and one Bi(1) atom to form distorted MgMg10ZnBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(5)Mg10ZnBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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)Mg8Zn2Bi2 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Zn2Bi2 cuboctahedra. The Mg(5)-Zn(1) bond length is 3.18 Å. The Mg(5)-Bi(1) bond length is 3.21 Å. Zn(1) is bonded to two equivalent Mg(6); four Mg(3,3,3,3); four Mg(5,5,5); and two equivalent Bi(1) atoms to form ZnMg10Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zn(1)Mg10Bi2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra; faces with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi cuboctahedra. Both Zn(1)-Bi(1) bond lengths are 3.25 Å. Bi(1) is bonded to two equivalent Mg(7); four Mg(3,3,3,3); four Mg(5,5,5); and two equivalent Zn(1) atoms to form BiMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Bi(1)Mg10Zn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10ZnBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5,5)Mg10ZnBi cuboctahedra; faces with four Mg(3,3,3,3)Mg8Zn2Bi2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn cuboctahedra.