Lu4Ni10Ga21 crystallizes in the monoclinic C2/m space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 15-coordinate geometry to two equivalent Ni(1), two equivalent Ni(3), one Ga(4), one Ga(6), one Ga(8), one Ga(9), two equivalent Ga(1), two equivalent Ga(11), and three equivalent Ga(3) atoms. In the second Lu site, Lu(2) is bonded in a 14-coordinate geometry to two equivalent Ni(2), two equivalent Ni(4), one Ga(11), one Ga(7), one Ga(9), two equivalent Ga(5), two equivalent Ga(6), and three equivalent Ga(2) atoms. There are five inequivalent Ni sites. In the first Ni site, Ni(4) is bonded in a 10-coordinate geometry to two equivalent Lu(2), one Ni(1), one Ga(5), one Ga(7), two equivalent Ga(9), and three equivalent Ga(2) atoms. In the second Ni site, Ni(5) is bonded in a 9-coordinate geometry to one Ga(9), two equivalent Ga(1), two equivalent Ga(10), two equivalent Ga(4), and two equivalent Ga(5) atoms. In the third Ni site, Ni(1) is bonded in a 10-coordinate geometry to two equivalent Lu(1), one Ni(4), one Ga(1), one Ga(11), one Ga(7), two equivalent Ga(8), and two equivalent Ga(9) atoms. In the fourth Ni site, Ni(2) is bonded in a 10-coordinate geometry to two equivalent Lu(2), one Ga(2), one Ga(6), two equivalent Ga(11), two equivalent Ga(7), and two equivalent Ga(8) atoms. In the fifth Ni site, Ni(3) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Ga(11), one Ga(4), two equivalent Ga(6), and three equivalent Ga(3) atoms. There are eleven inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 5-coordinate geometry to two equivalent Lu(1), one Ni(1), two equivalent Ni(5), one Ga(10), and one Ga(3) atom. In the second Ga site, Ga(2) is bonded in a 12-coordinate geometry to three equivalent Lu(2), one Ni(2), three equivalent Ni(4), one Ga(9), two equivalent Ga(2), and two equivalent Ga(7) atoms. In the third Ga site, Ga(3) is bonded in a 12-coordinate geometry to three equivalent Lu(1), three equivalent Ni(3), one Ga(1), one Ga(6), two equivalent Ga(3), and two equivalent Ga(4) atoms. In the fourth Ga site, Ga(4) is bonded in a 3-coordinate geometry to one Lu(1), one Ni(3), two equivalent Ni(5), two equivalent Ga(10), and two equivalent Ga(3) atoms. In the fifth Ga site, Ga(5) is bonded in a 5-coordinate geometry to two equivalent Lu(2), one Ni(4), two equivalent Ni(5), one Ga(10), and one Ga(6) atom. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Lu(1), two equivalent Lu(2), one Ni(2), two equivalent Ni(3), one Ga(3), one Ga(5), and two equivalent Ga(11) atoms. In the seventh Ga site, Ga(7) is bonded in a 10-coordinate geometry to one Lu(2), one Ni(1), one Ni(4), two equivalent Ni(2), one Ga(11), two equivalent Ga(2), and two equivalent Ga(8) atoms. In the eighth Ga site, Ga(8) is bonded in a 11-coordinate geometry to one Lu(1), two equivalent Ni(1), two equivalent Ni(2), one Ga(8), one Ga(9), two equivalent Ga(11), and two equivalent Ga(7) atoms. In the ninth Ga site, Ga(9) is bonded in a 5-coordinate geometry to one Lu(1), one Lu(2), one Ni(5), two equivalent Ni(1), two equivalent Ni(4), one Ga(2), and one Ga(8) atom. In the tenth Ga site, Ga(10) is bonded to four equivalent Ni(5), two equivalent Ga(1), two equivalent Ga(5), and four equivalent Ga(4) atoms to form distorted face-sharing GaGa8Ni4 cuboctahedra. In the eleventh Ga site, Ga(11) is bonded in a 12-coordinate geometry to one Lu(2), two equivalent Lu(1), one Ni(1), one Ni(3), two equivalent Ni(2), one Ga(7), two equivalent Ga(6), and two equivalent Ga(8) atoms.
Lu4Ni10Ga21 crystallizes in the monoclinic C2/m space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 15-coordinate geometry to two equivalent Ni(1), two equivalent Ni(3), one Ga(4), one Ga(6), one Ga(8), one Ga(9), two equivalent Ga(1), two equivalent Ga(11), and three equivalent Ga(3) atoms. Both Lu(1)-Ni(1) bond lengths are 2.99 Å. Both Lu(1)-Ni(3) bond lengths are 3.08 Å. The Lu(1)-Ga(4) bond length is 3.40 Å. The Lu(1)-Ga(6) bond length is 3.01 Å. The Lu(1)-Ga(8) bond length is 3.11 Å. The Lu(1)-Ga(9) bond length is 3.17 Å. Both Lu(1)-Ga(1) bond lengths are 2.83 Å. Both Lu(1)-Ga(11) bond lengths are 2.97 Å. There are two shorter (2.96 Å) and one longer (3.09 Å) Lu(1)-Ga(3) bond length. In the second Lu site, Lu(2) is bonded in a 14-coordinate geometry to two equivalent Ni(2), two equivalent Ni(4), one Ga(11), one Ga(7), one Ga(9), two equivalent Ga(5), two equivalent Ga(6), and three equivalent Ga(2) atoms. Both Lu(2)-Ni(2) bond lengths are 3.12 Å. Both Lu(2)-Ni(4) bond lengths are 3.01 Å. The Lu(2)-Ga(11) bond length is 3.14 Å. The Lu(2)-Ga(7) bond length is 2.99 Å. The Lu(2)-Ga(9) bond length is 3.17 Å. Both Lu(2)-Ga(5) bond lengths are 2.86 Å. Both Lu(2)-Ga(6) bond lengths are 2.92 Å. There are two shorter (2.97 Å) and one longer (3.11 Å) Lu(2)-Ga(2) bond length. There are five inequivalent Ni sites. In the first Ni site, Ni(4) is bonded in a 10-coordinate geometry to two equivalent Lu(2), one Ni(1), one Ga(5), one Ga(7), two equivalent Ga(9), and three equivalent Ga(2) atoms. The Ni(4)-Ni(1) bond length is 2.75 Å. The Ni(4)-Ga(5) bond length is 2.47 Å. The Ni(4)-Ga(7) bond length is 2.46 Å. Both Ni(4)-Ga(9) bond lengths are 2.54 Å. There is one shorter (2.49 Å) and two longer (2.52 Å) Ni(4)-Ga(2) bond lengths. In the second Ni site, Ni(5) is bonded in a 9-coordinate geometry to one Ga(9), two equivalent Ga(1), two equivalent Ga(10), two equivalent Ga(4), and two equivalent Ga(5) atoms. The Ni(5)-Ga(9) bond length is 2.52 Å. Both Ni(5)-Ga(1) bond lengths are 2.56 Å. Both Ni(5)-Ga(10) bond lengths are 2.48 Å. There is one shorter (2.48 Å) and one longer (2.56 Å) Ni(5)-Ga(4) bond length. Both Ni(5)-Ga(5) bond lengths are 2.58 Å. In the third Ni site, Ni(1) is bonded in a 10-coordinate geometry to two equivalent Lu(1), one Ni(4), one Ga(1), one Ga(11), one Ga(7), two equivalent Ga(8), and two equivalent Ga(9) atoms. The Ni(1)-Ga(1) bond length is 2.45 Å. The Ni(1)-Ga(11) bond length is 2.49 Å. The Ni(1)-Ga(7) bond length is 2.42 Å. Both Ni(1)-Ga(8) bond lengths are 2.52 Å. Both Ni(1)-Ga(9) bond lengths are 2.54 Å. In the fourth Ni site, Ni(2) is bonded in a 10-coordinate geometry to two equivalent Lu(2), one Ga(2), one Ga(6), two equivalent Ga(11), two equivalent Ga(7), and two equivalent Ga(8) atoms. The Ni(2)-Ga(2) bond length is 2.61 Å. The Ni(2)-Ga(6) bond length is 2.52 Å. Both Ni(2)-Ga(11) bond lengths are 2.50 Å. Both Ni(2)-Ga(7) bond lengths are 2.45 Å. There is one shorter (2.52 Å) and one longer (2.79 Å) Ni(2)-Ga(8) bond length. In the fifth Ni site, Ni(3) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Ga(11), one Ga(4), two equivalent Ga(6), and three equivalent Ga(3) atoms. The Ni(3)-Ga(11) bond length is 2.58 Å. The Ni(3)-Ga(4) bond length is 2.36 Å. Both Ni(3)-Ga(6) bond lengths are 2.44 Å. There are two shorter (2.47 Å) and one longer (2.49 Å) Ni(3)-Ga(3) bond length. There are eleven inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 5-coordinate geometry to two equivalent Lu(1), one Ni(1), two equivalent Ni(5), one Ga(10), and one Ga(3) atom. The Ga(1)-Ga(10) bond length is 2.59 Å. The Ga(1)-Ga(3) bond length is 2.77 Å. In the second Ga site, Ga(2) is bonded in a 12-coordinate geometry to three equivalent Lu(2), one Ni(2), three equivalent Ni(4), one Ga(9), two equivalent Ga(2), and two equivalent Ga(7) atoms. The Ga(2)-Ga(9) bond length is 2.86 Å. Both Ga(2)-Ga(2) bond lengths are 2.87 Å. Both Ga(2)-Ga(7) bond lengths are 2.83 Å. In the third Ga site, Ga(3) is bonded in a 12-coordinate geometry to three equivalent Lu(1), three equivalent Ni(3), one Ga(1), one Ga(6), two equivalent Ga(3), and two equivalent Ga(4) atoms. The Ga(3)-Ga(6) bond length is 2.70 Å. Both Ga(3)-Ga(3) bond lengths are 2.85 Å. Both Ga(3)-Ga(4) bond lengths are 3.03 Å. In the fourth Ga site, Ga(4) is bonded in a 3-coordinate geometry to one Lu(1), one Ni(3), two equivalent Ni(5), two equivalent Ga(10), and two equivalent Ga(3) atoms. Both Ga(4)-Ga(10) bond lengths are 2.88 Å. In the fifth Ga site, Ga(5) is bonded in a 5-coordinate geometry to two equivalent Lu(2), one Ni(4), two equivalent Ni(5), one Ga(10), and one Ga(6) atom. The Ga(5)-Ga(10) bond length is 2.67 Å. The Ga(5)-Ga(6) bond length is 2.78 Å. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Lu(1), two equivalent Lu(2), one Ni(2), two equivalent Ni(3), one Ga(3), one Ga(5), and two equivalent Ga(11) atoms. Both Ga(6)-Ga(11) bond lengths are 2.88 Å. In the seventh Ga site, Ga(7) is bonded in a 10-coordinate geometry to one Lu(2), one Ni(1), one Ni(4), two equivalent Ni(2), one Ga(11), two equivalent Ga(2), and two equivalent Ga(8) atoms. The Ga(7)-Ga(11) bond length is 2.81 Å. Both Ga(7)-Ga(8) bond lengths are 2.75 Å. In the eighth Ga site, Ga(8) is bonded in a 11-coordinate geometry to one Lu(1), two equivalent Ni(1), two equivalent Ni(2), one Ga(8), one Ga(9), two equivalent Ga(11), and two equivalent Ga(7) atoms. The Ga(8)-Ga(8) bond length is 2.66 Å. The Ga(8)-Ga(9) bond length is 2.83 Å. Both Ga(8)-Ga(11) bond lengths are 2.90 Å. In the ninth Ga site, Ga(9) is bonded in a 5-coordinate geometry to one Lu(1), one Lu(2), one Ni(5), two equivalent Ni(1), two equivalent Ni(4), one Ga(2), and one Ga(8) atom. In the tenth Ga site, Ga(10) is bonded to four equivalent Ni(5), two equivalent Ga(1), two equivalent Ga(5), and four equivalent Ga(4) atoms to form distorted face-sharing GaGa8Ni4 cuboctahedra. In the eleventh Ga site, Ga(11) is bonded in a 12-coordinate geometry to one Lu(2), two equivalent Lu(1), one Ni(1), one Ni(3), two equivalent Ni(2), one Ga(7), two equivalent Ga(6), and two equivalent Ga(8) atoms.