Lu10Al4Ge11 crystallizes in the monoclinic C2/m space group. There are five inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 8-coordinate geometry to two equivalent Ge(4), three equivalent Ge(6), and four equivalent Ge(1) atoms. In the second Lu site, Lu(2) is bonded in a 8-coordinate geometry to two equivalent Al(2), one Ge(5), and five equivalent Ge(2) atoms. In the third Lu site, Lu(3) is bonded in a 8-coordinate geometry to two equivalent Al(1), one Ge(4), two equivalent Ge(5), and three equivalent Ge(3) atoms. In the fourth Lu site, Lu(4) is bonded in a 8-coordinate geometry to two equivalent Al(1), one Ge(3), one Ge(6), two equivalent Ge(1), and three equivalent Ge(4) atoms. In the fifth Lu site, Lu(5) is bonded in a 8-coordinate geometry to two equivalent Al(2), one Ge(2), two equivalent Ge(3), and three equivalent Ge(5) atoms. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded in a 4-coordinate geometry to two equivalent Lu(3), two equivalent Lu(4), two equivalent Ge(3), and two equivalent Ge(4) atoms. In the second Al site, Al(2) is bonded in a 4-coordinate geometry to two equivalent Lu(2), two equivalent Lu(5), two equivalent Ge(2), and two equivalent Ge(5) atoms. There are six inequivalent Ge sites. In the first Ge site, Ge(5) is bonded in a 9-coordinate geometry to one Lu(2), two equivalent Lu(3), three equivalent Lu(5), two equivalent Al(2), and one Ge(3) atom. In the second Ge site, Ge(6) is bonded to two equivalent Lu(4), six equivalent Lu(1), and four equivalent Ge(1) atoms to form a mixture of distorted face and edge-sharing GeLu8Ge4 cuboctahedra. In the third Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Lu(4), four equivalent Lu(1), one Ge(4), and two equivalent Ge(6) atoms. In the fourth Ge site, Ge(2) is bonded in a 9-coordinate geometry to one Lu(5), five equivalent Lu(2), two equivalent Al(2), and one Ge(2) atom. In the fifth Ge site, Ge(3) is bonded in a 9-coordinate geometry to one Lu(4), two equivalent Lu(5), three equivalent Lu(3), two equivalent Al(1), and one Ge(5) atom. In the sixth Ge site, Ge(4) is bonded in a 9-coordinate geometry to one Lu(3), two equivalent Lu(1), three equivalent Lu(4), two equivalent Al(1), and one Ge(1) atom.
Lu10Al4Ge11 crystallizes in the monoclinic C2/m space group. There are five inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 8-coordinate geometry to two equivalent Ge(4), three equivalent Ge(6), and four equivalent Ge(1) atoms. Both Lu(1)-Ge(4) bond lengths are 3.04 Å. There are two shorter (3.11 Å) and one longer (3.57 Å) Lu(1)-Ge(6) bond length. There are two shorter (2.98 Å) and two longer (3.00 Å) Lu(1)-Ge(1) bond lengths. In the second Lu site, Lu(2) is bonded in a 8-coordinate geometry to two equivalent Al(2), one Ge(5), and five equivalent Ge(2) atoms. Both Lu(2)-Al(2) bond lengths are 3.15 Å. The Lu(2)-Ge(5) bond length is 2.97 Å. There are a spread of Lu(2)-Ge(2) bond distances ranging from 2.97-3.01 Å. In the third Lu site, Lu(3) is bonded in a 8-coordinate geometry to two equivalent Al(1), one Ge(4), two equivalent Ge(5), and three equivalent Ge(3) atoms. Both Lu(3)-Al(1) bond lengths are 3.15 Å. The Lu(3)-Ge(4) bond length is 2.95 Å. Both Lu(3)-Ge(5) bond lengths are 3.00 Å. There is one shorter (2.98 Å) and two longer (3.00 Å) Lu(3)-Ge(3) bond lengths. In the fourth Lu site, Lu(4) is bonded in a 8-coordinate geometry to two equivalent Al(1), one Ge(3), one Ge(6), two equivalent Ge(1), and three equivalent Ge(4) atoms. Both Lu(4)-Al(1) bond lengths are 3.16 Å. The Lu(4)-Ge(3) bond length is 2.97 Å. The Lu(4)-Ge(6) bond length is 3.53 Å. Both Lu(4)-Ge(1) bond lengths are 2.97 Å. There is one shorter (2.95 Å) and two longer (3.02 Å) Lu(4)-Ge(4) bond lengths. In the fifth Lu site, Lu(5) is bonded in a 8-coordinate geometry to two equivalent Al(2), one Ge(2), two equivalent Ge(3), and three equivalent Ge(5) atoms. Both Lu(5)-Al(2) bond lengths are 3.15 Å. The Lu(5)-Ge(2) bond length is 2.97 Å. Both Lu(5)-Ge(3) bond lengths are 2.99 Å. There is one shorter (2.97 Å) and two longer (3.01 Å) Lu(5)-Ge(5) bond lengths. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded in a 4-coordinate geometry to two equivalent Lu(3), two equivalent Lu(4), two equivalent Ge(3), and two equivalent Ge(4) atoms. Both Al(1)-Ge(3) bond lengths are 2.66 Å. Both Al(1)-Ge(4) bond lengths are 2.64 Å. In the second Al site, Al(2) is bonded in a 4-coordinate geometry to two equivalent Lu(2), two equivalent Lu(5), two equivalent Ge(2), and two equivalent Ge(5) atoms. Both Al(2)-Ge(2) bond lengths are 2.66 Å. Both Al(2)-Ge(5) bond lengths are 2.66 Å. There are six inequivalent Ge sites. In the first Ge site, Ge(5) is bonded in a 9-coordinate geometry to one Lu(2), two equivalent Lu(3), three equivalent Lu(5), two equivalent Al(2), and one Ge(3) atom. The Ge(5)-Ge(3) bond length is 2.60 Å. In the second Ge site, Ge(6) is bonded to two equivalent Lu(4), six equivalent Lu(1), and four equivalent Ge(1) atoms to form a mixture of distorted face and edge-sharing GeLu8Ge4 cuboctahedra. All Ge(6)-Ge(1) bond lengths are 2.72 Å. In the third Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Lu(4), four equivalent Lu(1), one Ge(4), and two equivalent Ge(6) atoms. The Ge(1)-Ge(4) bond length is 2.55 Å. In the fourth Ge site, Ge(2) is bonded in a 9-coordinate geometry to one Lu(5), five equivalent Lu(2), two equivalent Al(2), and one Ge(2) atom. The Ge(2)-Ge(2) bond length is 2.61 Å. In the fifth Ge site, Ge(3) is bonded in a 9-coordinate geometry to one Lu(4), two equivalent Lu(5), three equivalent Lu(3), two equivalent Al(1), and one Ge(5) atom. In the sixth Ge site, Ge(4) is bonded in a 9-coordinate geometry to one Lu(3), two equivalent Lu(1), three equivalent Lu(4), two equivalent Al(1), and one Ge(1) atom.