Lu6Pd3Ga19 crystallizes in the monoclinic Cm space group. There are six inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 14-coordinate geometry to one Pd(3), one Ga(1), one Ga(19), one Ga(5), two equivalent Ga(11), two equivalent Ga(15), two equivalent Ga(18), two equivalent Ga(3), and two equivalent Ga(8) atoms. In the second Lu site, Lu(2) is bonded in a 14-coordinate geometry to one Pd(1), one Pd(2), one Ga(2), one Ga(6), two equivalent Ga(12), two equivalent Ga(16), two equivalent Ga(17), two equivalent Ga(4), and two equivalent Ga(7) atoms. In the third Lu site, Lu(3) is bonded in a 14-coordinate geometry to one Pd(1), one Pd(2), one Ga(3), one Ga(7), two equivalent Ga(1), two equivalent Ga(13), two equivalent Ga(17), two equivalent Ga(6), and two equivalent Ga(9) atoms. In the fourth Lu site, Lu(4) is bonded in a 14-coordinate geometry to one Pd(3), one Ga(19), one Ga(4), one Ga(8), two equivalent Ga(10), two equivalent Ga(14), two equivalent Ga(18), two equivalent Ga(2), and two equivalent Ga(5) atoms. In the fifth Lu site, Lu(5) is bonded to one Ga(1), one Ga(3), one Ga(5), one Ga(7), two equivalent Ga(11), two equivalent Ga(13), two equivalent Ga(15), and two equivalent Ga(9) atoms to form distorted LuGa12 cuboctahedra that share  an edgeedge with one Ga(17)Lu4Ga4Pd4 cuboctahedra,  an edgeedge with one Ga(18)Lu4Ga6Pd2 cuboctahedra, and faces with two equivalent Lu(5)Ga12 cuboctahedra. In the sixth Lu site, Lu(6) is bonded to one Ga(2), one Ga(4), one Ga(6), one Ga(8), two equivalent Ga(10), two equivalent Ga(12), two equivalent Ga(14), and two equivalent Ga(16) atoms to form distorted LuGa12 cuboctahedra that share  an edgeedge with one Ga(17)Lu4Ga4Pd4 cuboctahedra,  an edgeedge with one Ga(18)Lu4Ga6Pd2 cuboctahedra, and faces with two equivalent Lu(6)Ga12 cuboctahedra. There are three inequivalent Pd sites. In the first Pd site, Pd(1) is bonded in a 10-coordinate geometry to one Lu(2), one Lu(3), one Ga(10), one Ga(16), two equivalent Ga(17), two equivalent Ga(4), and two equivalent Ga(6) atoms. In the second Pd site, Pd(2) is bonded in a 10-coordinate geometry to one Lu(2), one Lu(3), one Ga(11), one Ga(13), two equivalent Ga(1), two equivalent Ga(17), and two equivalent Ga(7) atoms. In the third Pd site, Pd(3) is bonded in a 10-coordinate geometry to one Lu(1), one Lu(4), one Ga(12), one Ga(14), two equivalent Ga(18), two equivalent Ga(2), and two equivalent Ga(8) atoms. There are nineteen inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 10-coordinate geometry to one Lu(1), one Lu(5), two equivalent Lu(3), two equivalent Pd(2), one Ga(17), one Ga(9), and two equivalent Ga(11) atoms. In the second Ga site, Ga(2) is bonded in a 10-coordinate geometry to one Lu(2), one Lu(6), two equivalent Lu(4), two equivalent Pd(3), one Ga(10), one Ga(18), and two equivalent Ga(12) atoms. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to one Lu(3), one Lu(5), two equivalent Lu(1), one Ga(11), one Ga(18), two equivalent Ga(19), and two equivalent Ga(9) atoms. In the fourth Ga site, Ga(4) is bonded in a 10-coordinate geometry to one Lu(4), one Lu(6), two equivalent Lu(2), two equivalent Pd(1), one Ga(12), one Ga(17), and two equivalent Ga(10) atoms. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Lu(1), one Lu(5), two equivalent Lu(4), one Ga(14), one Ga(18), two equivalent Ga(15), and two equivalent Ga(19) atoms. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Lu(2), one Lu(6), two equivalent Lu(3), two equivalent Pd(1), one Ga(13), one Ga(17), and two equivalent Ga(16) atoms. In the seventh Ga site, Ga(7) is bonded in a 10-coordinate geometry to one Lu(3), one Lu(5), two equivalent Lu(2), two equivalent Pd(2), one Ga(16), one Ga(17), and two equivalent Ga(13) atoms. In the eighth Ga site, Ga(8) is bonded in a 10-coordinate geometry to one Lu(4), one Lu(6), two equivalent Lu(1), two equivalent Pd(3), one Ga(15), one Ga(18), and two equivalent Ga(14) atoms. In the ninth Ga site, Ga(9) is bonded in a 9-coordinate geometry to two equivalent Lu(3), two equivalent Lu(5), one Ga(1), one Ga(13), one Ga(19), and two equivalent Ga(3) atoms. In the tenth Ga site, Ga(10) is bonded in a 9-coordinate geometry to two equivalent Lu(4), two equivalent Lu(6), one Pd(1), one Ga(14), one Ga(2), and two equivalent Ga(4) atoms. In the eleventh Ga site, Ga(11) is bonded in a 9-coordinate geometry to two equivalent Lu(1), two equivalent Lu(5), one Pd(2), one Ga(15), one Ga(3), and two equivalent Ga(1) atoms. In the twelfth Ga site, Ga(12) is bonded in a 9-coordinate geometry to two equivalent Lu(2), two equivalent Lu(6), one Pd(3), one Ga(16), one Ga(4), and two equivalent Ga(2) atoms. In the thirteenth Ga site, Ga(13) is bonded in a 9-coordinate geometry to two equivalent Lu(3), two equivalent Lu(5), one Pd(2), one Ga(6), one Ga(9), and two equivalent Ga(7) atoms. In the fourteenth Ga site, Ga(14) is bonded in a 9-coordinate geometry to two equivalent Lu(4), two equivalent Lu(6), one Pd(3), one Ga(10), one Ga(5), and two equivalent Ga(8) atoms. In the fifteenth Ga site, Ga(15) is bonded in a 9-coordinate geometry to two equivalent Lu(1), two equivalent Lu(5), one Ga(11), one Ga(19), one Ga(8), and two equivalent Ga(5) atoms. In the sixteenth Ga site, Ga(16) is bonded in a 9-coordinate geometry to two equivalent Lu(2), two equivalent Lu(6), one Pd(1), one Ga(12), one Ga(7), and two equivalent Ga(6) atoms. In the seventeenth Ga site, Ga(17) is bonded to two equivalent Lu(2), two equivalent Lu(3), two equivalent Pd(1), two equivalent Pd(2), one Ga(1), one Ga(4), one Ga(6), and one Ga(7) atom to form distorted GaLu4Ga4Pd4 cuboctahedra that share  an edgeedge with one Lu(5)Ga12 cuboctahedra,  an edgeedge with one Lu(6)Ga12 cuboctahedra, and faces with two equivalent Ga(17)Lu4Ga4Pd4 cuboctahedra. In the eighteenth Ga site, Ga(18) is bonded to two equivalent Lu(1), two equivalent Lu(4), two equivalent Pd(3), one Ga(2), one Ga(3), one Ga(5), one Ga(8), and two equivalent Ga(19) atoms to form distorted GaLu4Ga6Pd2 cuboctahedra that share  an edgeedge with one Lu(5)Ga12 cuboctahedra,  an edgeedge with one Lu(6)Ga12 cuboctahedra, and faces with two equivalent Ga(18)Lu4Ga6Pd2 cuboctahedra. In the nineteenth Ga site, Ga(19) is bonded in a 10-coordinate geometry to one Lu(1), one Lu(4), one Ga(15), one Ga(9), two equivalent Ga(18), two equivalent Ga(3), and two equivalent Ga(5) atoms.
Lu6Pd3Ga19 crystallizes in the monoclinic Cm space group. There are six inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 14-coordinate geometry to one Pd(3), one Ga(1), one Ga(19), one Ga(5), two equivalent Ga(11), two equivalent Ga(15), two equivalent Ga(18), two equivalent Ga(3), and two equivalent Ga(8) atoms. The Lu(1)-Pd(3) bond length is 3.08 Å. The Lu(1)-Ga(1) bond length is 3.46 Å. The Lu(1)-Ga(19) bond length is 3.02 Å. The Lu(1)-Ga(5) bond length is 3.36 Å. Both Lu(1)-Ga(11) bond lengths are 3.13 Å. Both Lu(1)-Ga(15) bond lengths are 3.06 Å. Both Lu(1)-Ga(18) bond lengths are 3.25 Å. Both Lu(1)-Ga(3) bond lengths are 3.08 Å. Both Lu(1)-Ga(8) bond lengths are 3.08 Å. In the second Lu site, Lu(2) is bonded in a 14-coordinate geometry to one Pd(1), one Pd(2), one Ga(2), one Ga(6), two equivalent Ga(12), two equivalent Ga(16), two equivalent Ga(17), two equivalent Ga(4), and two equivalent Ga(7) atoms. The Lu(2)-Pd(1) bond length is 3.02 Å. The Lu(2)-Pd(2) bond length is 3.05 Å. The Lu(2)-Ga(2) bond length is 3.40 Å. The Lu(2)-Ga(6) bond length is 3.36 Å. Both Lu(2)-Ga(12) bond lengths are 3.09 Å. Both Lu(2)-Ga(16) bond lengths are 3.07 Å. Both Lu(2)-Ga(17) bond lengths are 3.26 Å. Both Lu(2)-Ga(4) bond lengths are 3.07 Å. Both Lu(2)-Ga(7) bond lengths are 3.07 Å. In the third Lu site, Lu(3) is bonded in a 14-coordinate geometry to one Pd(1), one Pd(2), one Ga(3), one Ga(7), two equivalent Ga(1), two equivalent Ga(13), two equivalent Ga(17), two equivalent Ga(6), and two equivalent Ga(9) atoms. The Lu(3)-Pd(1) bond length is 3.04 Å. The Lu(3)-Pd(2) bond length is 3.03 Å. The Lu(3)-Ga(3) bond length is 3.40 Å. The Lu(3)-Ga(7) bond length is 3.36 Å. Both Lu(3)-Ga(1) bond lengths are 3.08 Å. Both Lu(3)-Ga(13) bond lengths are 3.06 Å. Both Lu(3)-Ga(17) bond lengths are 3.27 Å. Both Lu(3)-Ga(6) bond lengths are 3.06 Å. Both Lu(3)-Ga(9) bond lengths are 3.07 Å. In the fourth Lu site, Lu(4) is bonded in a 14-coordinate geometry to one Pd(3), one Ga(19), one Ga(4), one Ga(8), two equivalent Ga(10), two equivalent Ga(14), two equivalent Ga(18), two equivalent Ga(2), and two equivalent Ga(5) atoms. The Lu(4)-Pd(3) bond length is 3.01 Å. The Lu(4)-Ga(19) bond length is 3.07 Å. The Lu(4)-Ga(4) bond length is 3.44 Å. The Lu(4)-Ga(8) bond length is 3.40 Å. Both Lu(4)-Ga(10) bond lengths are 3.11 Å. Both Lu(4)-Ga(14) bond lengths are 3.10 Å. Both Lu(4)-Ga(18) bond lengths are 3.23 Å. Both Lu(4)-Ga(2) bond lengths are 3.08 Å. Both Lu(4)-Ga(5) bond lengths are 3.07 Å. In the fifth Lu site, Lu(5) is bonded to one Ga(1), one Ga(3), one Ga(5), one Ga(7), two equivalent Ga(11), two equivalent Ga(13), two equivalent Ga(15), and two equivalent Ga(9) atoms to form distorted LuGa12 cuboctahedra that share  an edgeedge with one Ga(17)Lu4Ga4Pd4 cuboctahedra,  an edgeedge with one Ga(18)Lu4Ga6Pd2 cuboctahedra, and faces with two equivalent Lu(5)Ga12 cuboctahedra. The Lu(5)-Ga(1) bond length is 3.26 Å. The Lu(5)-Ga(3) bond length is 3.21 Å. The Lu(5)-Ga(5) bond length is 3.29 Å. The Lu(5)-Ga(7) bond length is 3.28 Å. Both Lu(5)-Ga(11) bond lengths are 3.12 Å. Both Lu(5)-Ga(13) bond lengths are 3.15 Å. Both Lu(5)-Ga(15) bond lengths are 3.13 Å. Both Lu(5)-Ga(9) bond lengths are 3.08 Å. In the sixth Lu site, Lu(6) is bonded to one Ga(2), one Ga(4), one Ga(6), one Ga(8), two equivalent Ga(10), two equivalent Ga(12), two equivalent Ga(14), and two equivalent Ga(16) atoms to form distorted LuGa12 cuboctahedra that share  an edgeedge with one Ga(17)Lu4Ga4Pd4 cuboctahedra,  an edgeedge with one Ga(18)Lu4Ga6Pd2 cuboctahedra, and faces with two equivalent Lu(6)Ga12 cuboctahedra. The Lu(6)-Ga(2) bond length is 3.19 Å. The Lu(6)-Ga(4) bond length is 3.24 Å. The Lu(6)-Ga(6) bond length is 3.27 Å. The Lu(6)-Ga(8) bond length is 3.25 Å. Both Lu(6)-Ga(10) bond lengths are 3.12 Å. Both Lu(6)-Ga(12) bond lengths are 3.10 Å. Both Lu(6)-Ga(14) bond lengths are 3.10 Å. Both Lu(6)-Ga(16) bond lengths are 3.14 Å. There are three inequivalent Pd sites. In the first Pd site, Pd(1) is bonded in a 10-coordinate geometry to one Lu(2), one Lu(3), one Ga(10), one Ga(16), two equivalent Ga(17), two equivalent Ga(4), and two equivalent Ga(6) atoms. The Pd(1)-Ga(10) bond length is 2.64 Å. The Pd(1)-Ga(16) bond length is 2.61 Å. Both Pd(1)-Ga(17) bond lengths are 2.74 Å. Both Pd(1)-Ga(4) bond lengths are 2.76 Å. Both Pd(1)-Ga(6) bond lengths are 2.77 Å. In the second Pd site, Pd(2) is bonded in a 10-coordinate geometry to one Lu(2), one Lu(3), one Ga(11), one Ga(13), two equivalent Ga(1), two equivalent Ga(17), and two equivalent Ga(7) atoms. The Pd(2)-Ga(11) bond length is 2.62 Å. The Pd(2)-Ga(13) bond length is 2.60 Å. Both Pd(2)-Ga(1) bond lengths are 2.76 Å. Both Pd(2)-Ga(17) bond lengths are 2.76 Å. Both Pd(2)-Ga(7) bond lengths are 2.76 Å. In the third Pd site, Pd(3) is bonded in a 10-coordinate geometry to one Lu(1), one Lu(4), one Ga(12), one Ga(14), two equivalent Ga(18), two equivalent Ga(2), and two equivalent Ga(8) atoms. The Pd(3)-Ga(12) bond length is 2.59 Å. The Pd(3)-Ga(14) bond length is 2.58 Å. Both Pd(3)-Ga(18) bond lengths are 2.75 Å. Both Pd(3)-Ga(2) bond lengths are 2.75 Å. Both Pd(3)-Ga(8) bond lengths are 2.76 Å. There are nineteen inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 10-coordinate geometry to one Lu(1), one Lu(5), two equivalent Lu(3), two equivalent Pd(2), one Ga(17), one Ga(9), and two equivalent Ga(11) atoms. The Ga(1)-Ga(17) bond length is 2.74 Å. The Ga(1)-Ga(9) bond length is 2.70 Å. Both Ga(1)-Ga(11) bond lengths are 2.59 Å. In the second Ga site, Ga(2) is bonded in a 10-coordinate geometry to one Lu(2), one Lu(6), two equivalent Lu(4), two equivalent Pd(3), one Ga(10), one Ga(18), and two equivalent Ga(12) atoms. The Ga(2)-Ga(10) bond length is 2.71 Å. The Ga(2)-Ga(18) bond length is 2.70 Å. Both Ga(2)-Ga(12) bond lengths are 2.58 Å. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to one Lu(3), one Lu(5), two equivalent Lu(1), one Ga(11), one Ga(18), two equivalent Ga(19), and two equivalent Ga(9) atoms. The Ga(3)-Ga(11) bond length is 2.68 Å. The Ga(3)-Ga(18) bond length is 2.86 Å. Both Ga(3)-Ga(19) bond lengths are 2.78 Å. Both Ga(3)-Ga(9) bond lengths are 2.60 Å. In the fourth Ga site, Ga(4) is bonded in a 10-coordinate geometry to one Lu(4), one Lu(6), two equivalent Lu(2), two equivalent Pd(1), one Ga(12), one Ga(17), and two equivalent Ga(10) atoms. The Ga(4)-Ga(12) bond length is 2.71 Å. The Ga(4)-Ga(17) bond length is 2.72 Å. Both Ga(4)-Ga(10) bond lengths are 2.59 Å. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Lu(1), one Lu(5), two equivalent Lu(4), one Ga(14), one Ga(18), two equivalent Ga(15), and two equivalent Ga(19) atoms. The Ga(5)-Ga(14) bond length is 2.70 Å. The Ga(5)-Ga(18) bond length is 2.80 Å. Both Ga(5)-Ga(15) bond lengths are 2.61 Å. Both Ga(5)-Ga(19) bond lengths are 2.79 Å. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Lu(2), one Lu(6), two equivalent Lu(3), two equivalent Pd(1), one Ga(13), one Ga(17), and two equivalent Ga(16) atoms. The Ga(6)-Ga(13) bond length is 2.70 Å. The Ga(6)-Ga(17) bond length is 2.71 Å. Both Ga(6)-Ga(16) bond lengths are 2.58 Å. In the seventh Ga site, Ga(7) is bonded in a 10-coordinate geometry to one Lu(3), one Lu(5), two equivalent Lu(2), two equivalent Pd(2), one Ga(16), one Ga(17), and two equivalent Ga(13) atoms. The Ga(7)-Ga(16) bond length is 2.71 Å. The Ga(7)-Ga(17) bond length is 2.71 Å. Both Ga(7)-Ga(13) bond lengths are 2.57 Å. In the eighth Ga site, Ga(8) is bonded in a 10-coordinate geometry to one Lu(4), one Lu(6), two equivalent Lu(1), two equivalent Pd(3), one Ga(15), one Ga(18), and two equivalent Ga(14) atoms. The Ga(8)-Ga(15) bond length is 2.73 Å. The Ga(8)-Ga(18) bond length is 2.66 Å. Both Ga(8)-Ga(14) bond lengths are 2.59 Å. In the ninth Ga site, Ga(9) is bonded in a 9-coordinate geometry to two equivalent Lu(3), two equivalent Lu(5), one Ga(1), one Ga(13), one Ga(19), and two equivalent Ga(3) atoms. The Ga(9)-Ga(13) bond length is 2.52 Å. The Ga(9)-Ga(19) bond length is 2.65 Å. In the tenth Ga site, Ga(10) is bonded in a 9-coordinate geometry to two equivalent Lu(4), two equivalent Lu(6), one Pd(1), one Ga(14), one Ga(2), and two equivalent Ga(4) atoms. The Ga(10)-Ga(14) bond length is 2.52 Å. In the eleventh Ga site, Ga(11) is bonded in a 9-coordinate geometry to two equivalent Lu(1), two equivalent Lu(5), one Pd(2), one Ga(15), one Ga(3), and two equivalent Ga(1) atoms. The Ga(11)-Ga(15) bond length is 2.52 Å. In the twelfth Ga site, Ga(12) is bonded in a 9-coordinate geometry to two equivalent Lu(2), two equivalent Lu(6), one Pd(3), one Ga(16), one Ga(4), and two equivalent Ga(2) atoms. The Ga(12)-Ga(16) bond length is 2.54 Å. In the thirteenth Ga site, Ga(13) is bonded in a 9-coordinate geometry to two equivalent Lu(3), two equivalent Lu(5), one Pd(2), one Ga(6), one Ga(9), and two equivalent Ga(7) atoms. In the fourteenth Ga site, Ga(14) is bonded in a 9-coordinate geometry to two equivalent Lu(4), two equivalent Lu(6), one Pd(3), one Ga(10), one Ga(5), and two equivalent Ga(8) atoms. In the fifteenth Ga site, Ga(15) is bonded in a 9-coordinate geometry to two equivalent Lu(1), two equivalent Lu(5), one Ga(11), one Ga(19), one Ga(8), and two equivalent Ga(5) atoms. The Ga(15)-Ga(19) bond length is 2.62 Å. In the sixteenth Ga site, Ga(16) is bonded in a 9-coordinate geometry to two equivalent Lu(2), two equivalent Lu(6), one Pd(1), one Ga(12), one Ga(7), and two equivalent Ga(6) atoms. In the seventeenth Ga site, Ga(17) is bonded to two equivalent Lu(2), two equivalent Lu(3), two equivalent Pd(1), two equivalent Pd(2), one Ga(1), one Ga(4), one Ga(6), and one Ga(7) atom to form distorted GaLu4Ga4Pd4 cuboctahedra that share  an edgeedge with one Lu(5)Ga12 cuboctahedra,  an edgeedge with one Lu(6)Ga12 cuboctahedra, and faces with two equivalent Ga(17)Lu4Ga4Pd4 cuboctahedra. In the eighteenth Ga site, Ga(18) is bonded to two equivalent Lu(1), two equivalent Lu(4), two equivalent Pd(3), one Ga(2), one Ga(3), one Ga(5), one Ga(8), and two equivalent Ga(19) atoms to form distorted GaLu4Ga6Pd2 cuboctahedra that share  an edgeedge with one Lu(5)Ga12 cuboctahedra,  an edgeedge with one Lu(6)Ga12 cuboctahedra, and faces with two equivalent Ga(18)Lu4Ga6Pd2 cuboctahedra. Both Ga(18)-Ga(19) bond lengths are 2.84 Å. In the nineteenth Ga site, Ga(19) is bonded in a 10-coordinate geometry to one Lu(1), one Lu(4), one Ga(15), one Ga(9), two equivalent Ga(18), two equivalent Ga(3), and two equivalent Ga(5) atoms.