Mg14TiAl crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ti(1)Mg10Al2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiAl cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Al(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiAl cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(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 Ti(1), and two equivalent Al(1) atoms to form MgMg8Ti2Al2 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)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Ti(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, faces with two equivalent Ti(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10Ti2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiAl 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)Mg8Ti2Al2 cuboctahedra, corners with four equivalent Ti(1)Mg10Al2 cuboctahedra, corners with four equivalent Al(1)Mg10Ti2 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 equivalent Mg(5)Mg10TiAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Al2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiAl cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ti(1), and one Al(1) atom to form distorted MgMg10TiAl cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)Mg10TiAl cuboctahedra, edges with two equivalent Mg(5)Mg10TiAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Ti(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Ti2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Al(1) atom to form distorted MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with six equivalent Mg(6)Mg11Al cuboctahedra, corners with eight equivalent Mg(5)Mg10TiAl cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiAl cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ti(1)Mg10Al2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiAl cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with six equivalent Mg(7)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)Mg10TiAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiAl cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Al(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiAl cuboctahedra. Ti(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form TiMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ti(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiAl cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Al cuboctahedra. Al(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form AlMg10Ti2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Al(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiAl cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra.
Mg14TiAl crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ti(1)Mg10Al2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiAl cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.10 Å. Both Mg(1)-Mg(6) bond lengths are 3.17 Å. There are two shorter (3.15 Å) and two longer (3.16 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.19 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Al(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiAl cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Al cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.14 Å. There are two shorter (3.14 Å) and two longer (3.17 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.17 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 Ti(1), and two equivalent Al(1) atoms to form MgMg8Ti2Al2 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)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Ti(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, faces with two equivalent Ti(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10Ti2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiAl cuboctahedra. There is one shorter (3.08 Å) and one longer (3.13 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.08 Å. Both Mg(3)-Mg(6) bond lengths are 3.09 Å. Both Mg(3)-Mg(7) bond lengths are 3.10 Å. There is one shorter (3.13 Å) and one longer (3.18 Å) Mg(3)-Ti(1) bond length. There is one shorter (3.13 Å) and one longer (3.18 Å) Mg(3)-Al(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)Mg8Ti2Al2 cuboctahedra, corners with four equivalent Ti(1)Mg10Al2 cuboctahedra, corners with four equivalent Al(1)Mg10Ti2 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 equivalent Mg(5)Mg10TiAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Al2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiAl cuboctahedra. There is one shorter (3.09 Å) and one longer (3.12 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 3.16 Å. Both Mg(4)-Mg(7) bond lengths are 3.16 Å. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ti(1), and one Al(1) atom to form distorted MgMg10TiAl cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)Mg10TiAl cuboctahedra, edges with two equivalent Mg(5)Mg10TiAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Al2 cuboctahedra, edges with two equivalent Ti(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Ti2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra. There is one shorter (3.07 Å) and one longer (3.13 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.14 Å) and one longer (3.17 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.11 Å) and one longer (3.20 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Ti(1) bond length is 3.06 Å. The Mg(5)-Al(1) bond length is 3.06 Å. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Al(1) atom to form distorted MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with six equivalent Mg(6)Mg11Al cuboctahedra, corners with eight equivalent Mg(5)Mg10TiAl cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiAl cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ti(1)Mg10Al2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiAl cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.10 Å. The Mg(6)-Al(1) bond length is 3.10 Å. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with six equivalent Mg(7)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)Mg10TiAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiAl cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Al(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiAl cuboctahedra. The Mg(7)-Ti(1) bond length is 3.07 Å. Ti(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form TiMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ti(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiAl cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Al cuboctahedra. Both Ti(1)-Al(1) bond lengths are 3.10 Å. Al(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form AlMg10Ti2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Al(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiAl cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiAl cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Al2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra.