Lu4(Pt3Al8)3 crystallizes in the triclinic P-1 space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 17-coordinate geometry to one Pt(1), one Pt(3), one Pt(4), one Pt(5), two equivalent Pt(2), one Al(10), one Al(11), one Al(12), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), one Al(8), and two equivalent Al(1) atoms. In the second Lu site, Lu(2) is bonded in a 17-coordinate geometry to one Pt(1), one Pt(3), one Pt(4), one Pt(5), two equivalent Pt(2), one Al(1), one Al(10), one Al(11), one Al(12), one Al(4), one Al(5), one Al(6), one Al(8), one Al(9), and two equivalent Al(7) atoms. There are five inequivalent Pt sites. In the first Pt site, Pt(1) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Al(11), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), and two equivalent Al(9) atoms. In the second Pt site, Pt(2) is bonded in a 8-coordinate geometry to two equivalent Lu(1), two equivalent Lu(2), one Al(10), one Al(12), two equivalent Al(1), two equivalent Al(7), and two equivalent Al(8) atoms. In the third Pt site, Pt(3) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Al(10), one Al(2), one Al(4), one Al(5), one Al(6), one Al(9), and two equivalent Al(3) atoms. In the fourth Pt site, Pt(4) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Al(12), one Al(3), one Al(4), one Al(5), one Al(6), one Al(9), and two equivalent Al(2) atoms. In the fifth Pt site, Pt(5) is bonded in a 8-coordinate geometry to two equivalent Lu(1), two equivalent Lu(2), two equivalent Al(1), two equivalent Al(11), two equivalent Al(7), and two equivalent Al(8) atoms. There are twelve inequivalent Al sites. In the first Al site, Al(1) is bonded in a 3-coordinate geometry to one Lu(2), two equivalent Lu(1), one Pt(5), and two equivalent Pt(2) atoms. In the second Al site, Al(2) is bonded to one Pt(1), one Pt(3), and two equivalent Pt(4) atoms to form distorted AlPt4 tetrahedra that share corners with three equivalent Al(3)LuPt4 tetrahedra, corners with three equivalent Al(9)LuPt4 tetrahedra,  an edgeedge with one Al(3)LuPt4 tetrahedra,  an edgeedge with one Al(9)LuPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the third Al site, Al(3) is bonded to one Lu(1), one Pt(1), one Pt(4), and two equivalent Pt(3) atoms to form distorted AlLuPt4 tetrahedra that share corners with three equivalent Al(9)LuPt4 tetrahedra, corners with three equivalent Al(2)Pt4 tetrahedra,  an edgeedge with one Al(3)LuPt4 tetrahedra,  an edgeedge with one Al(9)LuPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the fourth Al site, Al(4) is bonded in a 3-coordinate geometry to one Lu(1), one Lu(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the fifth Al site, Al(5) is bonded in a 3-coordinate geometry to one Lu(1), one Lu(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the sixth Al site, Al(6) is bonded in a 3-coordinate geometry to one Lu(1), one Lu(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the seventh Al site, Al(7) is bonded in a 3-coordinate geometry to one Lu(1), two equivalent Lu(2), one Pt(5), and two equivalent Pt(2) atoms. In the eighth Al site, Al(8) is bonded in a 3-coordinate geometry to one Lu(1), one Lu(2), one Pt(5), and two equivalent Pt(2) atoms. In the ninth Al site, Al(9) is bonded to one Lu(2), one Pt(3), one Pt(4), and two equivalent Pt(1) atoms to form distorted AlLuPt4 tetrahedra that share corners with three equivalent Al(3)LuPt4 tetrahedra, corners with three equivalent Al(2)Pt4 tetrahedra,  an edgeedge with one Al(3)LuPt4 tetrahedra,  an edgeedge with one Al(9)LuPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the tenth Al site, Al(10) is bonded in a 2-coordinate geometry to one Lu(1), one Lu(2), one Pt(2), and one Pt(3) atom. In the eleventh Al site, Al(11) is bonded in a 2-coordinate geometry to one Lu(1), one Lu(2), one Pt(1), and one Pt(5) atom. In the twelfth Al site, Al(12) is bonded in a 2-coordinate geometry to one Lu(1), one Lu(2), one Pt(2), and one Pt(4) atom.
Lu4(Pt3Al8)3 crystallizes in the triclinic P-1 space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 17-coordinate geometry to one Pt(1), one Pt(3), one Pt(4), one Pt(5), two equivalent Pt(2), one Al(10), one Al(11), one Al(12), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), one Al(8), and two equivalent Al(1) atoms. The Lu(1)-Pt(1) bond length is 3.24 Å. The Lu(1)-Pt(3) bond length is 3.26 Å. The Lu(1)-Pt(4) bond length is 3.29 Å. The Lu(1)-Pt(5) bond length is 3.48 Å. There is one shorter (3.47 Å) and one longer (3.51 Å) Lu(1)-Pt(2) bond length. The Lu(1)-Al(10) bond length is 3.06 Å. The Lu(1)-Al(11) bond length is 3.08 Å. The Lu(1)-Al(12) bond length is 3.09 Å. The Lu(1)-Al(3) bond length is 3.17 Å. The Lu(1)-Al(4) bond length is 3.05 Å. The Lu(1)-Al(5) bond length is 3.05 Å. The Lu(1)-Al(6) bond length is 3.04 Å. The Lu(1)-Al(7) bond length is 3.04 Å. The Lu(1)-Al(8) bond length is 3.09 Å. There is one shorter (3.05 Å) and one longer (3.17 Å) Lu(1)-Al(1) bond length. In the second Lu site, Lu(2) is bonded in a 17-coordinate geometry to one Pt(1), one Pt(3), one Pt(4), one Pt(5), two equivalent Pt(2), one Al(1), one Al(10), one Al(11), one Al(12), one Al(4), one Al(5), one Al(6), one Al(8), one Al(9), and two equivalent Al(7) atoms. The Lu(2)-Pt(1) bond length is 3.24 Å. The Lu(2)-Pt(3) bond length is 3.27 Å. The Lu(2)-Pt(4) bond length is 3.27 Å. The Lu(2)-Pt(5) bond length is 3.48 Å. There is one shorter (3.47 Å) and one longer (3.51 Å) Lu(2)-Pt(2) bond length. The Lu(2)-Al(1) bond length is 3.04 Å. The Lu(2)-Al(10) bond length is 3.10 Å. The Lu(2)-Al(11) bond length is 3.08 Å. The Lu(2)-Al(12) bond length is 3.06 Å. The Lu(2)-Al(4) bond length is 3.05 Å. The Lu(2)-Al(5) bond length is 3.05 Å. The Lu(2)-Al(6) bond length is 3.04 Å. The Lu(2)-Al(8) bond length is 3.08 Å. The Lu(2)-Al(9) bond length is 3.17 Å. There is one shorter (3.05 Å) and one longer (3.18 Å) Lu(2)-Al(7) bond length. There are five inequivalent Pt sites. In the first Pt site, Pt(1) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Al(11), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), and two equivalent Al(9) atoms. The Pt(1)-Al(11) bond length is 2.48 Å. The Pt(1)-Al(2) bond length is 2.74 Å. The Pt(1)-Al(3) bond length is 2.66 Å. The Pt(1)-Al(4) bond length is 2.54 Å. The Pt(1)-Al(5) bond length is 2.54 Å. The Pt(1)-Al(6) bond length is 2.50 Å. There is one shorter (2.54 Å) and one longer (2.66 Å) Pt(1)-Al(9) bond length. In the second Pt site, Pt(2) is bonded in a 8-coordinate geometry to two equivalent Lu(1), two equivalent Lu(2), one Al(10), one Al(12), two equivalent Al(1), two equivalent Al(7), and two equivalent Al(8) atoms. The Pt(2)-Al(10) bond length is 2.54 Å. The Pt(2)-Al(12) bond length is 2.54 Å. There is one shorter (2.52 Å) and one longer (2.59 Å) Pt(2)-Al(1) bond length. There is one shorter (2.52 Å) and one longer (2.59 Å) Pt(2)-Al(7) bond length. Both Pt(2)-Al(8) bond lengths are 2.62 Å. In the third Pt site, Pt(3) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Al(10), one Al(2), one Al(4), one Al(5), one Al(6), one Al(9), and two equivalent Al(3) atoms. The Pt(3)-Al(10) bond length is 2.48 Å. The Pt(3)-Al(2) bond length is 2.74 Å. The Pt(3)-Al(4) bond length is 2.50 Å. The Pt(3)-Al(5) bond length is 2.53 Å. The Pt(3)-Al(6) bond length is 2.53 Å. The Pt(3)-Al(9) bond length is 2.66 Å. There is one shorter (2.54 Å) and one longer (2.66 Å) Pt(3)-Al(3) bond length. In the fourth Pt site, Pt(4) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Al(12), one Al(3), one Al(4), one Al(5), one Al(6), one Al(9), and two equivalent Al(2) atoms. The Pt(4)-Al(12) bond length is 2.49 Å. The Pt(4)-Al(3) bond length is 2.65 Å. The Pt(4)-Al(4) bond length is 2.53 Å. The Pt(4)-Al(5) bond length is 2.50 Å. The Pt(4)-Al(6) bond length is 2.53 Å. The Pt(4)-Al(9) bond length is 2.66 Å. There is one shorter (2.55 Å) and one longer (2.74 Å) Pt(4)-Al(2) bond length. In the fifth Pt site, Pt(5) is bonded in a 8-coordinate geometry to two equivalent Lu(1), two equivalent Lu(2), two equivalent Al(1), two equivalent Al(11), two equivalent Al(7), and two equivalent Al(8) atoms. Both Pt(5)-Al(1) bond lengths are 2.59 Å. Both Pt(5)-Al(11) bond lengths are 2.55 Å. Both Pt(5)-Al(7) bond lengths are 2.59 Å. Both Pt(5)-Al(8) bond lengths are 2.55 Å. There are twelve inequivalent Al sites. In the first Al site, Al(1) is bonded in a 3-coordinate geometry to one Lu(2), two equivalent Lu(1), one Pt(5), and two equivalent Pt(2) atoms. In the second Al site, Al(2) is bonded to one Pt(1), one Pt(3), and two equivalent Pt(4) atoms to form distorted AlPt4 tetrahedra that share corners with three equivalent Al(3)LuPt4 tetrahedra, corners with three equivalent Al(9)LuPt4 tetrahedra,  an edgeedge with one Al(3)LuPt4 tetrahedra,  an edgeedge with one Al(9)LuPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the third Al site, Al(3) is bonded to one Lu(1), one Pt(1), one Pt(4), and two equivalent Pt(3) atoms to form distorted AlLuPt4 tetrahedra that share corners with three equivalent Al(9)LuPt4 tetrahedra, corners with three equivalent Al(2)Pt4 tetrahedra,  an edgeedge with one Al(3)LuPt4 tetrahedra,  an edgeedge with one Al(9)LuPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the fourth Al site, Al(4) is bonded in a 3-coordinate geometry to one Lu(1), one Lu(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the fifth Al site, Al(5) is bonded in a 3-coordinate geometry to one Lu(1), one Lu(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the sixth Al site, Al(6) is bonded in a 3-coordinate geometry to one Lu(1), one Lu(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the seventh Al site, Al(7) is bonded in a 3-coordinate geometry to one Lu(1), two equivalent Lu(2), one Pt(5), and two equivalent Pt(2) atoms. In the eighth Al site, Al(8) is bonded in a 3-coordinate geometry to one Lu(1), one Lu(2), one Pt(5), and two equivalent Pt(2) atoms. In the ninth Al site, Al(9) is bonded to one Lu(2), one Pt(3), one Pt(4), and two equivalent Pt(1) atoms to form distorted AlLuPt4 tetrahedra that share corners with three equivalent Al(3)LuPt4 tetrahedra, corners with three equivalent Al(2)Pt4 tetrahedra,  an edgeedge with one Al(3)LuPt4 tetrahedra,  an edgeedge with one Al(9)LuPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the tenth Al site, Al(10) is bonded in a 2-coordinate geometry to one Lu(1), one Lu(2), one Pt(2), and one Pt(3) atom. In the eleventh Al site, Al(11) is bonded in a 2-coordinate geometry to one Lu(1), one Lu(2), one Pt(1), and one Pt(5) atom. In the twelfth Al site, Al(12) is bonded in a 2-coordinate geometry to one Lu(1), one Lu(2), one Pt(2), and one Pt(4) atom.