Mg14AlSb crystallizes in the orthorhombic Amm2 space group. There are thirteen 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 Sb(1)Mg10Al2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)Mg10AlSb cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSb cuboctahedra; and faces with four Mg(4,4,4)Mg12 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 Al(1)Mg10Sb2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)Mg10AlSb cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSb cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al 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 Al(1), and two equivalent Sb(1) atoms to form distorted MgMg8Al2Sb2 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5)Mg10AlSb 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)Mg8Al2Sb2 cuboctahedra; corners with four equivalent Al(1)Mg10Sb2 cuboctahedra; corners with four equivalent Sb(1)Mg10Al2 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)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; and faces with eight Mg(5,5)Mg10AlSb 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 Al(1); and two equivalent Sb(1) atoms to form distorted MgMg8Al2Sb2 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(5)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSb 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)Mg8Al2Sb2 cuboctahedra; corners with four equivalent Al(1)Mg10Sb2 cuboctahedra; corners with four equivalent Sb(1)Mg10Al2 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)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSb 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 Al(1), and one Sb(1) atom to form distorted MgMg10AlSb cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with ten Mg(5,5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sb2 cuboctahedra;  a faceface with one Sb(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with four Mg(5,5)Mg10AlSb cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Al2Sb2 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 Al(1), and one Sb(1) atom to form distorted MgMg10AlSb cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with ten Mg(5,5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sb2 cuboctahedra;  a faceface with one Sb(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with four equivalent Mg(5)Mg10AlSb cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sb2 cuboctahedra. In the ninth 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); and one Al(1) atom to form distorted MgMg11Al cuboctahedra that share corners with six equivalent Mg(6)Mg11Al cuboctahedra; corners with eight Mg(5,5,5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with four Mg(5,5)Mg10AlSb cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sb2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Al2Sb2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Sb(1)Mg10Al2 cuboctahedra; and faces with four Mg(5,5)Mg10AlSb cuboctahedra. In the tenth Mg site, Mg(7) is bonded in a distorted single-bond geometry to one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Sb(1) atom. In the eleventh 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 Al(1), and two equivalent Sb(1) atoms to form distorted MgMg8Al2Sb2 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSb cuboctahedra. In the twelfth 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)Mg8Al2Sb2 cuboctahedra; corners with four equivalent Al(1)Mg10Sb2 cuboctahedra; corners with four equivalent Sb(1)Mg10Al2 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)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSb cuboctahedra. In the thirteenth 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 Al(1), and one Sb(1) atom to form distorted MgMg10AlSb cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with ten Mg(5,5,5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sb2 cuboctahedra;  a faceface with one Sb(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with four equivalent Mg(5)Mg10AlSb cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sb2 cuboctahedra. Al(1) is bonded to two equivalent Mg(6); four Mg(3,3,3); four Mg(5,5,5); and two equivalent Sb(1) atoms to form AlMg10Sb2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Al(1)Mg10Sb2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; edges with eight Mg(5,5,5)Mg10AlSb cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSb cuboctahedra; and faces with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra. Sb(1) is bonded to two equivalent Mg(7); four Mg(3,3,3); four Mg(5,5,5); and two equivalent Al(1) atoms to form SbMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sb(1)Mg10Al2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; edges with eight Mg(5,5,5)Mg10AlSb cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSb cuboctahedra; faces with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra.
Mg14AlSb crystallizes in the orthorhombic Amm2 space group. There are thirteen 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 Sb(1)Mg10Al2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)Mg10AlSb cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSb cuboctahedra; and faces with four Mg(4,4,4)Mg12 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.22 Å. Both Mg(1)-Mg(6) bond lengths are 3.16 Å. There are two shorter (3.16 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 3.16 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 Al(1)Mg10Sb2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)Mg10AlSb cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSb cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.14 Å. All Mg(2)-Mg(4,4,4) bond lengths are 3.17 Å. All Mg(2)-Mg(5,5,5) 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 Al(1), and two equivalent Sb(1) atoms to form distorted MgMg8Al2Sb2 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5)Mg10AlSb cuboctahedra. There is one shorter (3.21 Å) and one longer (3.24 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.15 Å. Both Mg(3)-Mg(6) bond lengths are 3.15 Å. Both Mg(3)-Mg(7) bond lengths are 3.19 Å. There is one shorter (3.14 Å) and one longer (3.20 Å) Mg(3)-Al(1) bond length. There is one shorter (3.16 Å) and one longer (3.18 Å) Mg(3)-Sb(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)Mg8Al2Sb2 cuboctahedra; corners with four equivalent Al(1)Mg10Sb2 cuboctahedra; corners with four equivalent Sb(1)Mg10Al2 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)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; and faces with eight Mg(5,5)Mg10AlSb cuboctahedra. There is one shorter (3.22 Å) and one longer (3.23 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.16 Å. Both Mg(4)-Mg(6) bond lengths are 3.19 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 Al(1); and two equivalent Sb(1) atoms to form distorted MgMg8Al2Sb2 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(5)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSb cuboctahedra. There is one shorter (3.21 Å) and one longer (3.24 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5,5) bond lengths are 3.15 Å. Both Mg(3)-Mg(6) bond lengths are 3.15 Å. Both Mg(3)-Mg(7) bond lengths are 3.19 Å. There is one shorter (3.14 Å) and one longer (3.20 Å) Mg(3)-Al(1) bond length. There is one shorter (3.16 Å) and one longer (3.18 Å) Mg(3)-Sb(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)Mg8Al2Sb2 cuboctahedra; corners with four equivalent Al(1)Mg10Sb2 cuboctahedra; corners with four equivalent Sb(1)Mg10Al2 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)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSb cuboctahedra. There is one shorter (3.22 Å) and one longer (3.23 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5,5) bond lengths are 3.16 Å. Both Mg(4)-Mg(6) bond lengths are 3.19 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 Al(1), and one Sb(1) atom to form distorted MgMg10AlSb cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with ten Mg(5,5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sb2 cuboctahedra;  a faceface with one Sb(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with four Mg(5,5)Mg10AlSb cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra. There is one shorter (3.18 Å) and one longer (3.27 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 (3.16 Å) and one longer (3.19 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Al(1) bond length is 3.15 Å. The Mg(5)-Sb(1) bond length is 3.17 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 Al(1), and one Sb(1) atom to form distorted MgMg10AlSb cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with ten Mg(5,5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sb2 cuboctahedra;  a faceface with one Sb(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with four equivalent Mg(5)Mg10AlSb cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sb2 cuboctahedra. There is one shorter (3.14 Å) and one longer (3.20 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.16 Å) and one longer (3.19 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Al(1) bond length is 3.15 Å. The Mg(5)-Sb(1) bond length is 3.17 Å. In the ninth 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); and one Al(1) atom to form distorted MgMg11Al cuboctahedra that share corners with six equivalent Mg(6)Mg11Al cuboctahedra; corners with eight Mg(5,5,5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with four Mg(5,5)Mg10AlSb cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sb2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Al2Sb2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Sb(1)Mg10Al2 cuboctahedra; and faces with four Mg(5,5)Mg10AlSb cuboctahedra. The Mg(6)-Mg(3) bond length is 3.15 Å. The Mg(6)-Mg(4) bond length is 3.19 Å. Both Mg(6)-Mg(7) bond lengths are 3.22 Å. The Mg(6)-Al(1) bond length is 3.12 Å. In the tenth Mg site, Mg(7) is bonded in a distorted single-bond geometry to one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Sb(1) atom. The Mg(7)-Mg(3) bond length is 3.19 Å. The Mg(7)-Mg(4) bond length is 3.15 Å. The Mg(7)-Sb(1) bond length is 3.17 Å. In the eleventh 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 Al(1), and two equivalent Sb(1) atoms to form distorted MgMg8Al2Sb2 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sb2 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSb cuboctahedra. Both Mg(3)-Mg(5) bond lengths are 3.15 Å. There is one shorter (3.14 Å) and one longer (3.20 Å) Mg(3)-Al(1) bond length. There is one shorter (3.16 Å) and one longer (3.18 Å) Mg(3)-Sb(1) bond length. In the twelfth 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)Mg8Al2Sb2 cuboctahedra; corners with four equivalent Al(1)Mg10Sb2 cuboctahedra; corners with four equivalent Sb(1)Mg10Al2 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)Mg10AlSb cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSb cuboctahedra. Both Mg(4)-Mg(5) bond lengths are 3.16 Å. In the thirteenth 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 Al(1), and one Sb(1) atom to form distorted MgMg10AlSb cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with ten Mg(5,5,5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(5)Mg10AlSb cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sb2 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sb2 cuboctahedra;  a faceface with one Sb(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with four equivalent Mg(5)Mg10AlSb cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sb2 cuboctahedra. The Mg(5)-Mg(3) bond length is 3.15 Å. The Mg(5)-Mg(4) bond length is 3.16 Å. There is one shorter (3.18 Å) and one longer (3.27 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 (3.16 Å) and one longer (3.19 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Al(1) bond length is 3.15 Å. The Mg(5)-Sb(1) bond length is 3.17 Å. Al(1) is bonded to two equivalent Mg(6); four Mg(3,3,3); four Mg(5,5,5); and two equivalent Sb(1) atoms to form AlMg10Sb2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Al(1)Mg10Sb2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sb(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; edges with eight Mg(5,5,5)Mg10AlSb cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sb(1)Mg10Al2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSb cuboctahedra; and faces with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra. Both Al(1)-Sb(1) bond lengths are 3.22 Å. Sb(1) is bonded to two equivalent Mg(7); four Mg(3,3,3); four Mg(5,5,5); and two equivalent Al(1) atoms to form SbMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sb(1)Mg10Al2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Sb2 cuboctahedra; edges with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; edges with eight Mg(5,5,5)Mg10AlSb cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Sb2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSb cuboctahedra; faces with four Mg(3,3,3)Mg8Al2Sb2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra.