Ti4ZnAl11 crystallizes in the tetragonal P4mm space group. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to four equivalent Al(2), four equivalent Al(3), and four equivalent Al(6) atoms to form TiAl12 cuboctahedra that share corners with four equivalent Ti(1)Al12 cuboctahedra, corners with four equivalent Ti(4)Al12 cuboctahedra, corners with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with four equivalent Ti(3)Al8Zn4 cuboctahedra, edges with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(2)Ti4Al8 cuboctahedra,  a faceface with one Ti(4)Al12 cuboctahedra,  a faceface with one Zn(1)Ti4Al8 cuboctahedra, faces with four equivalent Ti(1)Al12 cuboctahedra, faces with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, faces with four equivalent Al(2)Ti4Al8 cuboctahedra, and faces with four equivalent Al(6)Ti4Al8 cuboctahedra. In the second Ti site, Ti(2) is bonded to four equivalent Al(1), four equivalent Al(4), and four equivalent Al(7) atoms to form TiAl12 cuboctahedra that share corners with four equivalent Ti(2)Al12 cuboctahedra, corners with four equivalent Ti(3)Al8Zn4 cuboctahedra, corners with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with four equivalent Ti(4)Al12 cuboctahedra, edges with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(4)Ti4Al8 cuboctahedra,  a faceface with one Ti(3)Al8Zn4 cuboctahedra,  a faceface with one Al(5)Ti4Al8 cuboctahedra, faces with four equivalent Ti(2)Al12 cuboctahedra, faces with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, faces with four equivalent Al(4)Ti4Al8 cuboctahedra, and faces with four equivalent Al(7)Ti4Al8 cuboctahedra. In the third Ti site, Ti(3) is bonded to four equivalent Zn(1), four equivalent Al(1), and four equivalent Al(3) atoms to form TiAl8Zn4 cuboctahedra that share corners with four equivalent Ti(2)Al12 cuboctahedra, corners with four equivalent Ti(3)Al8Zn4 cuboctahedra, corners with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with four equivalent Ti(1)Al12 cuboctahedra, edges with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra,  a faceface with one Ti(2)Al12 cuboctahedra,  a faceface with one Al(6)Ti4Al8 cuboctahedra, faces with four equivalent Ti(3)Al8Zn4 cuboctahedra, faces with four equivalent Zn(1)Ti4Al8 cuboctahedra, faces with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, and faces with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra. In the fourth Ti site, Ti(4) is bonded to four equivalent Al(2), four equivalent Al(4), and four equivalent Al(5) atoms to form TiAl12 cuboctahedra that share corners with four equivalent Ti(1)Al12 cuboctahedra, corners with four equivalent Ti(4)Al12 cuboctahedra, corners with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with four equivalent Ti(2)Al12 cuboctahedra, edges with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with eight equivalent Al(2)Ti4Al8 cuboctahedra, edges with eight equivalent Al(4)Ti4Al8 cuboctahedra,  a faceface with one Ti(1)Al12 cuboctahedra,  a faceface with one Al(7)Ti4Al8 cuboctahedra, faces with four equivalent Ti(4)Al12 cuboctahedra, faces with four equivalent Al(2)Ti4Al8 cuboctahedra, faces with four equivalent Al(4)Ti4Al8 cuboctahedra, and faces with four equivalent Al(5)Ti4Al8 cuboctahedra. Zn(1) is bonded to four equivalent Ti(3), four equivalent Al(1), and four equivalent Al(3) atoms to form ZnTi4Al8 cuboctahedra that share corners with four equivalent Ti(1)Al12 cuboctahedra, corners with four equivalent Zn(1)Ti4Al8 cuboctahedra, corners with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with four equivalent Ti(2)Al12 cuboctahedra, edges with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra,  a faceface with one Ti(1)Al12 cuboctahedra,  a faceface with one Al(7)Ti4Al8 cuboctahedra, faces with four equivalent Ti(3)Al8Zn4 cuboctahedra, faces with four equivalent Zn(1)Ti4Al8 cuboctahedra, faces with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, and faces with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra. There are seven inequivalent Al sites. In the first Al site, Al(1) is bonded to two equivalent Ti(2), two equivalent Ti(3), two equivalent Zn(1), two equivalent Al(7), and four equivalent Al(1) atoms to form AlTi4Al6Zn2 cuboctahedra that share corners with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Ti(2)Al12 cuboctahedra, edges with four equivalent Ti(3)Al8Zn4 cuboctahedra, edges with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, edges with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Al(7)Ti4Al8 cuboctahedra,  a faceface with one Al(3)Ti4Al6Zn2 cuboctahedra,  a faceface with one Al(4)Ti4Al8 cuboctahedra, faces with two equivalent Ti(2)Al12 cuboctahedra, faces with two equivalent Ti(3)Al8Zn4 cuboctahedra, faces with two equivalent Zn(1)Ti4Al8 cuboctahedra, faces with two equivalent Al(7)Ti4Al8 cuboctahedra, and faces with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra. In the second Al site, Al(2) is bonded to two equivalent Ti(1), two equivalent Ti(4), two equivalent Al(5), two equivalent Al(6), and four equivalent Al(2) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(2)Ti4Al8 cuboctahedra, corners with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Ti(1)Al12 cuboctahedra, edges with four equivalent Ti(4)Al12 cuboctahedra, edges with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, edges with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with four equivalent Al(6)Ti4Al8 cuboctahedra,  a faceface with one Al(3)Ti4Al6Zn2 cuboctahedra,  a faceface with one Al(4)Ti4Al8 cuboctahedra, faces with two equivalent Ti(1)Al12 cuboctahedra, faces with two equivalent Ti(4)Al12 cuboctahedra, faces with two equivalent Al(5)Ti4Al8 cuboctahedra, faces with two equivalent Al(6)Ti4Al8 cuboctahedra, and faces with eight equivalent Al(2)Ti4Al8 cuboctahedra. In the third Al site, Al(3) is bonded to two equivalent Ti(1), two equivalent Ti(3), two equivalent Zn(1), two equivalent Al(6), and four equivalent Al(3) atoms to form AlTi4Al6Zn2 cuboctahedra that share corners with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(2)Ti4Al8 cuboctahedra, edges with four equivalent Ti(1)Al12 cuboctahedra, edges with four equivalent Ti(3)Al8Zn4 cuboctahedra, edges with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with four equivalent Al(2)Ti4Al8 cuboctahedra, edges with four equivalent Al(6)Ti4Al8 cuboctahedra,  a faceface with one Al(1)Ti4Al6Zn2 cuboctahedra,  a faceface with one Al(2)Ti4Al8 cuboctahedra, faces with two equivalent Ti(1)Al12 cuboctahedra, faces with two equivalent Ti(3)Al8Zn4 cuboctahedra, faces with two equivalent Zn(1)Ti4Al8 cuboctahedra, faces with two equivalent Al(6)Ti4Al8 cuboctahedra, and faces with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra. In the fourth Al site, Al(4) is bonded to two equivalent Ti(2), two equivalent Ti(4), two equivalent Al(5), two equivalent Al(7), and four equivalent Al(4) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(2)Ti4Al8 cuboctahedra, corners with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Ti(2)Al12 cuboctahedra, edges with four equivalent Ti(4)Al12 cuboctahedra, edges with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with four equivalent Al(2)Ti4Al8 cuboctahedra, edges with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with four equivalent Al(7)Ti4Al8 cuboctahedra,  a faceface with one Al(1)Ti4Al6Zn2 cuboctahedra,  a faceface with one Al(2)Ti4Al8 cuboctahedra, faces with two equivalent Ti(2)Al12 cuboctahedra, faces with two equivalent Ti(4)Al12 cuboctahedra, faces with two equivalent Al(5)Ti4Al8 cuboctahedra, faces with two equivalent Al(7)Ti4Al8 cuboctahedra, and faces with eight equivalent Al(4)Ti4Al8 cuboctahedra. In the fifth Al site, Al(5) is bonded to four equivalent Ti(4), four equivalent Al(2), and four equivalent Al(4) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Ti(2)Al12 cuboctahedra, corners with four equivalent Al(5)Ti4Al8 cuboctahedra, corners with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with four equivalent Ti(1)Al12 cuboctahedra, edges with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with eight equivalent Al(2)Ti4Al8 cuboctahedra, edges with eight equivalent Al(4)Ti4Al8 cuboctahedra,  a faceface with one Ti(2)Al12 cuboctahedra,  a faceface with one Al(6)Ti4Al8 cuboctahedra, faces with four equivalent Ti(4)Al12 cuboctahedra, faces with four equivalent Al(2)Ti4Al8 cuboctahedra, faces with four equivalent Al(4)Ti4Al8 cuboctahedra, and faces with four equivalent Al(5)Ti4Al8 cuboctahedra. In the sixth Al site, Al(6) is bonded to four equivalent Ti(1), four equivalent Al(2), and four equivalent Al(3) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Ti(3)Al8Zn4 cuboctahedra, corners with four equivalent Al(5)Ti4Al8 cuboctahedra, corners with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with four equivalent Ti(4)Al12 cuboctahedra, edges with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(2)Ti4Al8 cuboctahedra,  a faceface with one Ti(3)Al8Zn4 cuboctahedra,  a faceface with one Al(5)Ti4Al8 cuboctahedra, faces with four equivalent Ti(1)Al12 cuboctahedra, faces with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, faces with four equivalent Al(2)Ti4Al8 cuboctahedra, and faces with four equivalent Al(6)Ti4Al8 cuboctahedra. In the seventh Al site, Al(7) is bonded to four equivalent Ti(2), four equivalent Al(1), and four equivalent Al(4) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Ti(4)Al12 cuboctahedra, corners with four equivalent Zn(1)Ti4Al8 cuboctahedra, corners with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with four equivalent Ti(3)Al8Zn4 cuboctahedra, edges with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(4)Ti4Al8 cuboctahedra,  a faceface with one Ti(4)Al12 cuboctahedra,  a faceface with one Zn(1)Ti4Al8 cuboctahedra, faces with four equivalent Ti(2)Al12 cuboctahedra, faces with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, faces with four equivalent Al(4)Ti4Al8 cuboctahedra, and faces with four equivalent Al(7)Ti4Al8 cuboctahedra.
Ti4ZnAl11 crystallizes in the tetragonal P4mm space group. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to four equivalent Al(2), four equivalent Al(3), and four equivalent Al(6) atoms to form TiAl12 cuboctahedra that share corners with four equivalent Ti(1)Al12 cuboctahedra, corners with four equivalent Ti(4)Al12 cuboctahedra, corners with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with four equivalent Ti(3)Al8Zn4 cuboctahedra, edges with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(2)Ti4Al8 cuboctahedra,  a faceface with one Ti(4)Al12 cuboctahedra,  a faceface with one Zn(1)Ti4Al8 cuboctahedra, faces with four equivalent Ti(1)Al12 cuboctahedra, faces with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, faces with four equivalent Al(2)Ti4Al8 cuboctahedra, and faces with four equivalent Al(6)Ti4Al8 cuboctahedra. All Ti(1)-Al(2) bond lengths are 2.76 Å. All Ti(1)-Al(3) bond lengths are 2.97 Å. All Ti(1)-Al(6) bond lengths are 2.76 Å. In the second Ti site, Ti(2) is bonded to four equivalent Al(1), four equivalent Al(4), and four equivalent Al(7) atoms to form TiAl12 cuboctahedra that share corners with four equivalent Ti(2)Al12 cuboctahedra, corners with four equivalent Ti(3)Al8Zn4 cuboctahedra, corners with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with four equivalent Ti(4)Al12 cuboctahedra, edges with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(4)Ti4Al8 cuboctahedra,  a faceface with one Ti(3)Al8Zn4 cuboctahedra,  a faceface with one Al(5)Ti4Al8 cuboctahedra, faces with four equivalent Ti(2)Al12 cuboctahedra, faces with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, faces with four equivalent Al(4)Ti4Al8 cuboctahedra, and faces with four equivalent Al(7)Ti4Al8 cuboctahedra. All Ti(2)-Al(1) bond lengths are 2.79 Å. All Ti(2)-Al(4) bond lengths are 2.94 Å. All Ti(2)-Al(7) bond lengths are 2.76 Å. In the third Ti site, Ti(3) is bonded to four equivalent Zn(1), four equivalent Al(1), and four equivalent Al(3) atoms to form TiAl8Zn4 cuboctahedra that share corners with four equivalent Ti(2)Al12 cuboctahedra, corners with four equivalent Ti(3)Al8Zn4 cuboctahedra, corners with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with four equivalent Ti(1)Al12 cuboctahedra, edges with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra,  a faceface with one Ti(2)Al12 cuboctahedra,  a faceface with one Al(6)Ti4Al8 cuboctahedra, faces with four equivalent Ti(3)Al8Zn4 cuboctahedra, faces with four equivalent Zn(1)Ti4Al8 cuboctahedra, faces with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, and faces with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra. All Ti(3)-Zn(1) bond lengths are 2.76 Å. All Ti(3)-Al(1) bond lengths are 2.75 Å. All Ti(3)-Al(3) bond lengths are 2.90 Å. In the fourth Ti site, Ti(4) is bonded to four equivalent Al(2), four equivalent Al(4), and four equivalent Al(5) atoms to form TiAl12 cuboctahedra that share corners with four equivalent Ti(1)Al12 cuboctahedra, corners with four equivalent Ti(4)Al12 cuboctahedra, corners with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with four equivalent Ti(2)Al12 cuboctahedra, edges with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with eight equivalent Al(2)Ti4Al8 cuboctahedra, edges with eight equivalent Al(4)Ti4Al8 cuboctahedra,  a faceface with one Ti(1)Al12 cuboctahedra,  a faceface with one Al(7)Ti4Al8 cuboctahedra, faces with four equivalent Ti(4)Al12 cuboctahedra, faces with four equivalent Al(2)Ti4Al8 cuboctahedra, faces with four equivalent Al(4)Ti4Al8 cuboctahedra, and faces with four equivalent Al(5)Ti4Al8 cuboctahedra. All Ti(4)-Al(2) bond lengths are 2.77 Å. All Ti(4)-Al(4) bond lengths are 2.93 Å. All Ti(4)-Al(5) bond lengths are 2.76 Å. Zn(1) is bonded to four equivalent Ti(3), four equivalent Al(1), and four equivalent Al(3) atoms to form ZnTi4Al8 cuboctahedra that share corners with four equivalent Ti(1)Al12 cuboctahedra, corners with four equivalent Zn(1)Ti4Al8 cuboctahedra, corners with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with four equivalent Ti(2)Al12 cuboctahedra, edges with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra,  a faceface with one Ti(1)Al12 cuboctahedra,  a faceface with one Al(7)Ti4Al8 cuboctahedra, faces with four equivalent Ti(3)Al8Zn4 cuboctahedra, faces with four equivalent Zn(1)Ti4Al8 cuboctahedra, faces with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, and faces with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra. All Zn(1)-Al(1) bond lengths are 2.80 Å. All Zn(1)-Al(3) bond lengths are 2.84 Å. There are seven inequivalent Al sites. In the first Al site, Al(1) is bonded to two equivalent Ti(2), two equivalent Ti(3), two equivalent Zn(1), two equivalent Al(7), and four equivalent Al(1) atoms to form AlTi4Al6Zn2 cuboctahedra that share corners with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Ti(2)Al12 cuboctahedra, edges with four equivalent Ti(3)Al8Zn4 cuboctahedra, edges with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, edges with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Al(7)Ti4Al8 cuboctahedra,  a faceface with one Al(3)Ti4Al6Zn2 cuboctahedra,  a faceface with one Al(4)Ti4Al8 cuboctahedra, faces with two equivalent Ti(2)Al12 cuboctahedra, faces with two equivalent Ti(3)Al8Zn4 cuboctahedra, faces with two equivalent Zn(1)Ti4Al8 cuboctahedra, faces with two equivalent Al(7)Ti4Al8 cuboctahedra, and faces with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra. Both Al(1)-Al(7) bond lengths are 2.87 Å. All Al(1)-Al(1) bond lengths are 2.76 Å. In the second Al site, Al(2) is bonded to two equivalent Ti(1), two equivalent Ti(4), two equivalent Al(5), two equivalent Al(6), and four equivalent Al(2) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(2)Ti4Al8 cuboctahedra, corners with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Ti(1)Al12 cuboctahedra, edges with four equivalent Ti(4)Al12 cuboctahedra, edges with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, edges with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with four equivalent Al(6)Ti4Al8 cuboctahedra,  a faceface with one Al(3)Ti4Al6Zn2 cuboctahedra,  a faceface with one Al(4)Ti4Al8 cuboctahedra, faces with two equivalent Ti(1)Al12 cuboctahedra, faces with two equivalent Ti(4)Al12 cuboctahedra, faces with two equivalent Al(5)Ti4Al8 cuboctahedra, faces with two equivalent Al(6)Ti4Al8 cuboctahedra, and faces with eight equivalent Al(2)Ti4Al8 cuboctahedra. Both Al(2)-Al(5) bond lengths are 2.84 Å. Both Al(2)-Al(6) bond lengths are 2.88 Å. All Al(2)-Al(2) bond lengths are 2.76 Å. In the third Al site, Al(3) is bonded to two equivalent Ti(1), two equivalent Ti(3), two equivalent Zn(1), two equivalent Al(6), and four equivalent Al(3) atoms to form AlTi4Al6Zn2 cuboctahedra that share corners with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(2)Ti4Al8 cuboctahedra, edges with four equivalent Ti(1)Al12 cuboctahedra, edges with four equivalent Ti(3)Al8Zn4 cuboctahedra, edges with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with four equivalent Al(2)Ti4Al8 cuboctahedra, edges with four equivalent Al(6)Ti4Al8 cuboctahedra,  a faceface with one Al(1)Ti4Al6Zn2 cuboctahedra,  a faceface with one Al(2)Ti4Al8 cuboctahedra, faces with two equivalent Ti(1)Al12 cuboctahedra, faces with two equivalent Ti(3)Al8Zn4 cuboctahedra, faces with two equivalent Zn(1)Ti4Al8 cuboctahedra, faces with two equivalent Al(6)Ti4Al8 cuboctahedra, and faces with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra. Both Al(3)-Al(6) bond lengths are 2.85 Å. All Al(3)-Al(3) bond lengths are 2.76 Å. In the fourth Al site, Al(4) is bonded to two equivalent Ti(2), two equivalent Ti(4), two equivalent Al(5), two equivalent Al(7), and four equivalent Al(4) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, corners with four equivalent Al(2)Ti4Al8 cuboctahedra, corners with four equivalent Al(4)Ti4Al8 cuboctahedra, edges with four equivalent Ti(2)Al12 cuboctahedra, edges with four equivalent Ti(4)Al12 cuboctahedra, edges with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with four equivalent Al(2)Ti4Al8 cuboctahedra, edges with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with four equivalent Al(7)Ti4Al8 cuboctahedra,  a faceface with one Al(1)Ti4Al6Zn2 cuboctahedra,  a faceface with one Al(2)Ti4Al8 cuboctahedra, faces with two equivalent Ti(2)Al12 cuboctahedra, faces with two equivalent Ti(4)Al12 cuboctahedra, faces with two equivalent Al(5)Ti4Al8 cuboctahedra, faces with two equivalent Al(7)Ti4Al8 cuboctahedra, and faces with eight equivalent Al(4)Ti4Al8 cuboctahedra. Both Al(4)-Al(5) bond lengths are 2.85 Å. Both Al(4)-Al(7) bond lengths are 2.86 Å. All Al(4)-Al(4) bond lengths are 2.76 Å. In the fifth Al site, Al(5) is bonded to four equivalent Ti(4), four equivalent Al(2), and four equivalent Al(4) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Ti(2)Al12 cuboctahedra, corners with four equivalent Al(5)Ti4Al8 cuboctahedra, corners with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with four equivalent Ti(1)Al12 cuboctahedra, edges with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with eight equivalent Al(2)Ti4Al8 cuboctahedra, edges with eight equivalent Al(4)Ti4Al8 cuboctahedra,  a faceface with one Ti(2)Al12 cuboctahedra,  a faceface with one Al(6)Ti4Al8 cuboctahedra, faces with four equivalent Ti(4)Al12 cuboctahedra, faces with four equivalent Al(2)Ti4Al8 cuboctahedra, faces with four equivalent Al(4)Ti4Al8 cuboctahedra, and faces with four equivalent Al(5)Ti4Al8 cuboctahedra. In the sixth Al site, Al(6) is bonded to four equivalent Ti(1), four equivalent Al(2), and four equivalent Al(3) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Ti(3)Al8Zn4 cuboctahedra, corners with four equivalent Al(5)Ti4Al8 cuboctahedra, corners with four equivalent Al(6)Ti4Al8 cuboctahedra, edges with four equivalent Ti(4)Al12 cuboctahedra, edges with four equivalent Zn(1)Ti4Al8 cuboctahedra, edges with eight equivalent Al(3)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(2)Ti4Al8 cuboctahedra,  a faceface with one Ti(3)Al8Zn4 cuboctahedra,  a faceface with one Al(5)Ti4Al8 cuboctahedra, faces with four equivalent Ti(1)Al12 cuboctahedra, faces with four equivalent Al(3)Ti4Al6Zn2 cuboctahedra, faces with four equivalent Al(2)Ti4Al8 cuboctahedra, and faces with four equivalent Al(6)Ti4Al8 cuboctahedra. In the seventh Al site, Al(7) is bonded to four equivalent Ti(2), four equivalent Al(1), and four equivalent Al(4) atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent Ti(4)Al12 cuboctahedra, corners with four equivalent Zn(1)Ti4Al8 cuboctahedra, corners with four equivalent Al(7)Ti4Al8 cuboctahedra, edges with four equivalent Ti(3)Al8Zn4 cuboctahedra, edges with four equivalent Al(5)Ti4Al8 cuboctahedra, edges with eight equivalent Al(1)Ti4Al6Zn2 cuboctahedra, edges with eight equivalent Al(4)Ti4Al8 cuboctahedra,  a faceface with one Ti(4)Al12 cuboctahedra,  a faceface with one Zn(1)Ti4Al8 cuboctahedra, faces with four equivalent Ti(2)Al12 cuboctahedra, faces with four equivalent Al(1)Ti4Al6Zn2 cuboctahedra, faces with four equivalent Al(4)Ti4Al8 cuboctahedra, and faces with four equivalent Al(7)Ti4Al8 cuboctahedra.