Lu4CoSn8 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 Sn(1), two equivalent Sn(3), two equivalent Sn(6), and four equivalent Sn(7) atoms. In the second Lu site, Lu(2) is bonded in a 10-coordinate geometry to two equivalent Sn(2), two equivalent Sn(4), two equivalent Sn(5), and four equivalent Sn(8) atoms. In the third Lu site, Lu(3) is bonded in a 14-coordinate geometry to four equivalent Co(1), two equivalent Sn(1), two equivalent Sn(3), two equivalent Sn(8), and four equivalent Sn(5) atoms. In the fourth Lu site, Lu(4) is bonded in a 10-coordinate geometry to two equivalent Sn(2), two equivalent Sn(4), two equivalent Sn(7), and four equivalent Sn(6) atoms. Co(1) is bonded in a 5-coordinate geometry to four equivalent Lu(3), one Sn(5), two equivalent Sn(1), and two equivalent Sn(3) atoms. There are eight inequivalent Sn sites. In the first Sn site, Sn(1) is bonded in a 10-coordinate geometry to two equivalent Lu(1), two equivalent Lu(3), two equivalent Co(1), and four equivalent Sn(3) atoms. In the second Sn site, Sn(2) is bonded in a 8-coordinate geometry to two equivalent Lu(2), two equivalent Lu(4), and four equivalent Sn(4) atoms. In the third Sn site, Sn(3) is bonded in a 10-coordinate geometry to two equivalent Lu(1), two equivalent Lu(3), two equivalent Co(1), and four equivalent Sn(1) atoms. In the fourth Sn site, Sn(4) is bonded in a 8-coordinate geometry to two equivalent Lu(2), two equivalent Lu(4), and four equivalent Sn(2) atoms. In the fifth Sn site, Sn(5) is bonded in a 9-coordinate geometry to two equivalent Lu(2), four equivalent Lu(3), one Co(1), and two equivalent Sn(8) atoms. In the sixth Sn site, Sn(6) is bonded in a 8-coordinate geometry to two equivalent Lu(1), four equivalent Lu(4), and two equivalent Sn(7) atoms. In the seventh Sn site, Sn(7) is bonded in a 8-coordinate geometry to two equivalent Lu(4), four equivalent Lu(1), and two equivalent Sn(6) atoms. In the eighth Sn site, Sn(8) is bonded in a 8-coordinate geometry to two equivalent Lu(3), four equivalent Lu(2), and two equivalent Sn(5) atoms.
Lu4CoSn8 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 Sn(1), two equivalent Sn(3), two equivalent Sn(6), and four equivalent Sn(7) atoms. Both Lu(1)-Sn(1) bond lengths are 3.16 Å. Both Lu(1)-Sn(3) bond lengths are 3.19 Å. Both Lu(1)-Sn(6) bond lengths are 3.50 Å. All Lu(1)-Sn(7) bond lengths are 3.16 Å. In the second Lu site, Lu(2) is bonded in a 10-coordinate geometry to two equivalent Sn(2), two equivalent Sn(4), two equivalent Sn(5), and four equivalent Sn(8) atoms. Both Lu(2)-Sn(2) bond lengths are 3.25 Å. Both Lu(2)-Sn(4) bond lengths are 3.35 Å. Both Lu(2)-Sn(5) bond lengths are 3.29 Å. All Lu(2)-Sn(8) bond lengths are 3.13 Å. In the third Lu site, Lu(3) is bonded in a 14-coordinate geometry to four equivalent Co(1), two equivalent Sn(1), two equivalent Sn(3), two equivalent Sn(8), and four equivalent Sn(5) atoms. All Lu(3)-Co(1) bond lengths are 3.42 Å. Both Lu(3)-Sn(1) bond lengths are 3.45 Å. Both Lu(3)-Sn(3) bond lengths are 3.41 Å. Both Lu(3)-Sn(8) bond lengths are 3.65 Å. All Lu(3)-Sn(5) bond lengths are 3.24 Å. In the fourth Lu site, Lu(4) is bonded in a 10-coordinate geometry to two equivalent Sn(2), two equivalent Sn(4), two equivalent Sn(7), and four equivalent Sn(6) atoms. Both Lu(4)-Sn(2) bond lengths are 3.36 Å. Both Lu(4)-Sn(4) bond lengths are 3.27 Å. Both Lu(4)-Sn(7) bond lengths are 3.51 Å. All Lu(4)-Sn(6) bond lengths are 3.16 Å. Co(1) is bonded in a 5-coordinate geometry to four equivalent Lu(3), one Sn(5), two equivalent Sn(1), and two equivalent Sn(3) atoms. The Co(1)-Sn(5) bond length is 2.42 Å. Both Co(1)-Sn(1) bond lengths are 2.51 Å. Both Co(1)-Sn(3) bond lengths are 2.46 Å. There are eight inequivalent Sn sites. In the first Sn site, Sn(1) is bonded in a 10-coordinate geometry to two equivalent Lu(1), two equivalent Lu(3), two equivalent Co(1), and four equivalent Sn(3) atoms. All Sn(1)-Sn(3) bond lengths are 3.10 Å. In the second Sn site, Sn(2) is bonded in a 8-coordinate geometry to two equivalent Lu(2), two equivalent Lu(4), and four equivalent Sn(4) atoms. All Sn(2)-Sn(4) bond lengths are 3.10 Å. In the third Sn site, Sn(3) is bonded in a 10-coordinate geometry to two equivalent Lu(1), two equivalent Lu(3), two equivalent Co(1), and four equivalent Sn(1) atoms. In the fourth Sn site, Sn(4) is bonded in a 8-coordinate geometry to two equivalent Lu(2), two equivalent Lu(4), and four equivalent Sn(2) atoms. In the fifth Sn site, Sn(5) is bonded in a 9-coordinate geometry to two equivalent Lu(2), four equivalent Lu(3), one Co(1), and two equivalent Sn(8) atoms. Both Sn(5)-Sn(8) bond lengths are 2.93 Å. In the sixth Sn site, Sn(6) is bonded in a 8-coordinate geometry to two equivalent Lu(1), four equivalent Lu(4), and two equivalent Sn(7) atoms. Both Sn(6)-Sn(7) bond lengths are 3.03 Å. In the seventh Sn site, Sn(7) is bonded in a 8-coordinate geometry to two equivalent Lu(4), four equivalent Lu(1), and two equivalent Sn(6) atoms. In the eighth Sn site, Sn(8) is bonded in a 8-coordinate geometry to two equivalent Lu(3), four equivalent Lu(2), and two equivalent Sn(5) atoms.