Lu4RhGe8 crystallizes in the orthorhombic Pmm2 space group. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 10-coordinate geometry to two equivalent Ge(2), two equivalent Ge(5), two equivalent Ge(7), and four equivalent Ge(3) atoms. In the second Lu site, Lu(2) is bonded in a 10-coordinate geometry to two equivalent Ge(1), two equivalent Ge(6), two equivalent Ge(8), and four equivalent Ge(4) atoms. In the third Lu site, Lu(3) is bonded in a 14-coordinate geometry to four equivalent Rh(1), two equivalent Ge(4), two equivalent Ge(5), two equivalent Ge(7), and four equivalent Ge(1) atoms. In the fourth Lu site, Lu(4) is bonded in a 10-coordinate geometry to two equivalent Ge(3), two equivalent Ge(6), two equivalent Ge(8), and four equivalent Ge(2) atoms. Rh(1) is bonded in a 9-coordinate geometry to four equivalent Lu(3), one Ge(1), two equivalent Ge(5), and two equivalent Ge(7) atoms. There are eight inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Lu(2), four equivalent Lu(3), one Rh(1), and two equivalent Ge(4) atoms. In the second Ge site, Ge(2) is bonded in a 8-coordinate geometry to two equivalent Lu(1), four equivalent Lu(4), and two equivalent Ge(3) atoms. In the third Ge site, Ge(3) is bonded in a 8-coordinate geometry to two equivalent Lu(4), four equivalent Lu(1), and two equivalent Ge(2) atoms. In the fourth Ge site, Ge(4) is bonded in a 8-coordinate geometry to two equivalent Lu(3), four equivalent Lu(2), and two equivalent Ge(1) atoms. In the fifth Ge site, Ge(5) is bonded in a 4-coordinate geometry to two equivalent Lu(1), two equivalent Lu(3), and two equivalent Rh(1) atoms. In the sixth Ge site, Ge(6) is bonded in a 8-coordinate geometry to two equivalent Lu(2), two equivalent Lu(4), and four equivalent Ge(8) atoms. In the seventh Ge site, Ge(7) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Lu(1), two equivalent Lu(3), and two equivalent Rh(1) atoms. In the eighth Ge site, Ge(8) is bonded in a 8-coordinate geometry to two equivalent Lu(2), two equivalent Lu(4), and four equivalent Ge(6) atoms.
Lu4RhGe8 crystallizes in the orthorhombic Pmm2 space group. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 10-coordinate geometry to two equivalent Ge(2), two equivalent Ge(5), two equivalent Ge(7), and four equivalent Ge(3) atoms. Both Lu(1)-Ge(2) bond lengths are 3.24 Å. Both Lu(1)-Ge(5) bond lengths are 2.94 Å. Both Lu(1)-Ge(7) bond lengths are 2.88 Å. All Lu(1)-Ge(3) bond lengths are 2.95 Å. In the second Lu site, Lu(2) is bonded in a 10-coordinate geometry to two equivalent Ge(1), two equivalent Ge(6), two equivalent Ge(8), and four equivalent Ge(4) atoms. Both Lu(2)-Ge(1) bond lengths are 3.06 Å. Both Lu(2)-Ge(6) bond lengths are 3.04 Å. Both Lu(2)-Ge(8) bond lengths are 3.06 Å. All Lu(2)-Ge(4) bond lengths are 2.91 Å. In the third Lu site, Lu(3) is bonded in a 14-coordinate geometry to four equivalent Rh(1), two equivalent Ge(4), two equivalent Ge(5), two equivalent Ge(7), and four equivalent Ge(1) atoms. All Lu(3)-Rh(1) bond lengths are 3.14 Å. Both Lu(3)-Ge(4) bond lengths are 3.42 Å. Both Lu(3)-Ge(5) bond lengths are 3.38 Å. Both Lu(3)-Ge(7) bond lengths are 3.43 Å. All Lu(3)-Ge(1) bond lengths are 3.05 Å. In the fourth Lu site, Lu(4) is bonded in a 10-coordinate geometry to two equivalent Ge(3), two equivalent Ge(6), two equivalent Ge(8), and four equivalent Ge(2) atoms. Both Lu(4)-Ge(3) bond lengths are 3.19 Å. Both Lu(4)-Ge(6) bond lengths are 3.05 Å. Both Lu(4)-Ge(8) bond lengths are 3.03 Å. All Lu(4)-Ge(2) bond lengths are 2.94 Å. Rh(1) is bonded in a 9-coordinate geometry to four equivalent Lu(3), one Ge(1), two equivalent Ge(5), and two equivalent Ge(7) atoms. The Rh(1)-Ge(1) bond length is 2.41 Å. Both Rh(1)-Ge(5) bond lengths are 2.49 Å. Both Rh(1)-Ge(7) bond lengths are 2.46 Å. There are eight inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Lu(2), four equivalent Lu(3), one Rh(1), and two equivalent Ge(4) atoms. Both Ge(1)-Ge(4) bond lengths are 2.58 Å. In the second Ge site, Ge(2) is bonded in a 8-coordinate geometry to two equivalent Lu(1), four equivalent Lu(4), and two equivalent Ge(3) atoms. Both Ge(2)-Ge(3) bond lengths are 2.63 Å. In the third Ge site, Ge(3) is bonded in a 8-coordinate geometry to two equivalent Lu(4), four equivalent Lu(1), and two equivalent Ge(2) atoms. In the fourth Ge site, Ge(4) is bonded in a 8-coordinate geometry to two equivalent Lu(3), four equivalent Lu(2), and two equivalent Ge(1) atoms. In the fifth Ge site, Ge(5) is bonded in a 4-coordinate geometry to two equivalent Lu(1), two equivalent Lu(3), and two equivalent Rh(1) atoms. In the sixth Ge site, Ge(6) is bonded in a 8-coordinate geometry to two equivalent Lu(2), two equivalent Lu(4), and four equivalent Ge(8) atoms. All Ge(6)-Ge(8) bond lengths are 2.85 Å. In the seventh Ge site, Ge(7) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Lu(1), two equivalent Lu(3), and two equivalent Rh(1) atoms. In the eighth Ge site, Ge(8) is bonded in a 8-coordinate geometry to two equivalent Lu(2), two equivalent Lu(4), and four equivalent Ge(6) atoms.