MgSc8Cu29Ga15 crystallizes in the monoclinic Pm space group. Mg(1) is bonded in a 3-coordinate geometry to one Sc(6), two equivalent Sc(2), one Cu(13), one Cu(14), one Cu(15), one Cu(19), two equivalent Cu(6), two equivalent Cu(7), two equivalent Cu(8), and one Ga(13) atom. There are six inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 15-coordinate geometry to one Cu(1), one Cu(12), one Cu(15), one Cu(19), one Cu(4), one Cu(5), one Cu(6), one Cu(7), one Cu(8), one Ga(1), one Ga(10), one Ga(11), one Ga(4), one Ga(8), and one Ga(9) atom. In the second Sc site, Sc(2) is bonded in a 15-coordinate geometry to one Mg(1), one Cu(13), one Cu(14), one Cu(2), one Cu(3), one Cu(5), one Cu(6), one Cu(7), one Cu(8), one Ga(10), one Ga(12), one Ga(2), one Ga(3), one Ga(7), and one Ga(9) atom. In the third Sc site, Sc(3) is bonded in a 17-coordinate geometry to one Sc(4), two equivalent Cu(1), two equivalent Cu(11), two equivalent Cu(18), two equivalent Cu(3), one Ga(1), one Ga(3), one Ga(7), one Ga(8), two equivalent Ga(5), and two equivalent Ga(6) atoms. In the fourth Sc site, Sc(4) is bonded in a 12-coordinate geometry to one Sc(3), two equivalent Cu(18), two equivalent Cu(2), two equivalent Cu(4), one Ga(2), one Ga(4), one Ga(7), one Ga(8), two equivalent Ga(5), and two equivalent Ga(6) atoms. In the fifth Sc site, Sc(5) is bonded in a 17-coordinate geometry to one Cu(13), one Cu(14), one Cu(16), one Cu(17), one Cu(19), two equivalent Cu(18), two equivalent Cu(2), two equivalent Cu(3), two equivalent Cu(5), two equivalent Cu(8), and two equivalent Ga(5) atoms. In the sixth Sc site, Sc(6) is bonded in a 17-coordinate geometry to one Mg(1), one Cu(12), one Cu(15), one Cu(16), one Cu(17), two equivalent Cu(1), two equivalent Cu(18), two equivalent Cu(4), two equivalent Cu(6), two equivalent Cu(7), and two equivalent Ga(6) atoms. There are nineteen inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a 12-coordinate geometry to one Sc(1), one Sc(3), one Sc(6), one Cu(11), one Cu(12), one Cu(16), one Cu(18), one Cu(6), one Cu(9), one Ga(1), one Ga(6), and one Ga(8) atom. In the second Cu site, Cu(2) is bonded in a 12-coordinate geometry to one Sc(2), one Sc(4), one Sc(5), one Cu(10), one Cu(11), one Cu(13), one Cu(17), one Cu(18), one Cu(5), one Ga(2), one Ga(5), and one Ga(7) atom. In the third Cu site, Cu(3) is bonded in a 12-coordinate geometry to one Sc(2), one Sc(3), one Sc(5), one Cu(10), one Cu(11), one Cu(14), one Cu(16), one Cu(18), one Cu(8), one Ga(3), one Ga(5), and one Ga(7) atom. In the fourth Cu site, Cu(4) is bonded in a 12-coordinate geometry to one Sc(1), one Sc(4), one Sc(6), one Cu(11), one Cu(15), one Cu(17), one Cu(18), one Cu(7), one Cu(9), one Ga(4), one Ga(6), and one Ga(8) atom. In the fifth Cu site, Cu(5) is bonded in a 13-coordinate geometry to one Sc(1), one Sc(2), one Sc(5), one Cu(13), one Cu(19), one Cu(2), one Cu(6), one Cu(8), one Ga(11), one Ga(13), one Ga(2), one Ga(5), and one Ga(9) atom. In the sixth Cu site, Cu(6) is bonded in a 12-coordinate geometry to one Mg(1), one Sc(1), one Sc(2), one Sc(6), one Cu(1), one Cu(12), one Cu(5), one Cu(7), one Ga(1), one Ga(12), one Ga(13), one Ga(6), and one Ga(9) atom. In the seventh Cu site, Cu(7) is bonded in a 1-coordinate geometry to one Mg(1), one Sc(1), one Sc(2), one Sc(6), one Cu(15), one Cu(4), one Cu(6), one Cu(8), one Ga(10), one Ga(12), one Ga(4), and one Ga(6) atom. In the eighth Cu site, Cu(8) is bonded in a 13-coordinate geometry to one Mg(1), one Sc(1), one Sc(2), one Sc(5), one Cu(14), one Cu(19), one Cu(3), one Cu(5), one Cu(7), one Ga(10), one Ga(11), one Ga(3), and one Ga(5) atom. In the ninth Cu site, Cu(9) is bonded in a 11-coordinate geometry to one Cu(10), one Cu(12), one Cu(15), one Cu(16), one Cu(17), two equivalent Cu(1), two equivalent Cu(11), and two equivalent Cu(4) atoms. In the tenth Cu site, Cu(10) is bonded in a 11-coordinate geometry to one Cu(13), one Cu(14), one Cu(16), one Cu(17), one Cu(9), two equivalent Cu(11), two equivalent Cu(2), and two equivalent Cu(3) atoms. In the eleventh Cu site, Cu(11) is bonded in a 8-coordinate geometry to one Sc(3), one Cu(1), one Cu(10), one Cu(16), one Cu(2), one Cu(3), one Cu(4), one Cu(9), one Ga(7), and one Ga(8) atom. In the twelfth Cu site, Cu(12) is bonded in a 9-coordinate geometry to one Sc(6), two equivalent Sc(1), one Cu(15), one Cu(9), two equivalent Cu(1), two equivalent Cu(6), and one Ga(13) atom. In the thirteenth Cu site, Cu(13) is bonded in a 11-coordinate geometry to one Mg(1), one Sc(5), two equivalent Sc(2), one Cu(10), one Cu(14), two equivalent Cu(2), two equivalent Cu(5), and one Ga(13) atom. In the fourteenth Cu site, Cu(14) is bonded in a 1-coordinate geometry to one Mg(1), one Sc(5), two equivalent Sc(2), one Cu(10), one Cu(13), two equivalent Cu(3), and two equivalent Cu(8) atoms. In the fifteenth Cu site, Cu(15) is bonded in a 11-coordinate geometry to one Mg(1), one Sc(6), two equivalent Sc(1), one Cu(12), one Cu(19), one Cu(9), two equivalent Cu(4), and two equivalent Cu(7) atoms. In the sixteenth Cu site, Cu(16) is bonded in a 12-coordinate geometry to one Sc(5), one Sc(6), one Cu(10), one Cu(9), two equivalent Cu(1), two equivalent Cu(11), two equivalent Cu(18), and two equivalent Cu(3) atoms. In the seventeenth Cu site, Cu(17) is bonded in a 10-coordinate geometry to one Sc(5), one Sc(6), one Cu(10), one Cu(9), two equivalent Cu(18), two equivalent Cu(2), and two equivalent Cu(4) atoms. In the eighteenth Cu site, Cu(18) is bonded in a 13-coordinate geometry to one Sc(3), one Sc(4), one Sc(5), one Sc(6), one Cu(1), one Cu(16), one Cu(17), one Cu(18), one Cu(2), one Cu(3), one Cu(4), one Ga(5), and one Ga(6) atom. In the nineteenth Cu site, Cu(19) is bonded in a 8-coordinate geometry to one Mg(1), one Sc(5), two equivalent Sc(1), one Cu(15), two equivalent Cu(5), two equivalent Cu(8), and one Ga(13) atom. There are thirteen inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one Sc(3), two equivalent Sc(1), two equivalent Cu(1), two equivalent Cu(6), one Ga(12), one Ga(8), one Ga(9), and two equivalent Ga(6) atoms to form distorted GaSc3Ga5Cu4 cuboctahedra that share  a cornercorner with one Ga(2)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(10)Sc4Ga4Cu4 cuboctahedra,  an edgeedge with one Ga(10)Sc4Ga4Cu4 cuboctahedra,  a faceface with one Ga(9)Sc4Ga4Cu4 cuboctahedra, and faces with two equivalent Ga(4)Sc3Ga5Cu4 cuboctahedra. In the second Ga site, Ga(2) is bonded to one Sc(4), two equivalent Sc(2), two equivalent Cu(2), two equivalent Cu(5), one Ga(11), one Ga(7), one Ga(9), and two equivalent Ga(5) atoms to form distorted GaSc3Ga5Cu4 cuboctahedra that share  a cornercorner with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(4)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(10)Sc4Ga4Cu4 cuboctahedra,  an edgeedge with one Ga(10)Sc4Ga4Cu4 cuboctahedra,  a faceface with one Ga(9)Sc4Ga4Cu4 cuboctahedra, and faces with two equivalent Ga(3)Sc3Ga5Cu4 cuboctahedra. In the third Ga site, Ga(3) is bonded to one Sc(3), two equivalent Sc(2), two equivalent Cu(3), two equivalent Cu(8), one Ga(10), one Ga(11), one Ga(7), and two equivalent Ga(5) atoms to form distorted GaSc3Ga5Cu4 cuboctahedra that share  a cornercorner with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(4)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(9)Sc4Ga4Cu4 cuboctahedra,  an edgeedge with one Ga(9)Sc4Ga4Cu4 cuboctahedra,  a faceface with one Ga(10)Sc4Ga4Cu4 cuboctahedra, and faces with two equivalent Ga(2)Sc3Ga5Cu4 cuboctahedra. In the fourth Ga site, Ga(4) is bonded to one Sc(4), two equivalent Sc(1), two equivalent Cu(4), two equivalent Cu(7), one Ga(10), one Ga(12), one Ga(8), and two equivalent Ga(6) atoms to form distorted GaSc3Ga5Cu4 cuboctahedra that share  a cornercorner with one Ga(2)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(9)Sc4Ga4Cu4 cuboctahedra,  an edgeedge with one Ga(9)Sc4Ga4Cu4 cuboctahedra,  a faceface with one Ga(10)Sc4Ga4Cu4 cuboctahedra, and faces with two equivalent Ga(1)Sc3Ga5Cu4 cuboctahedra. In the fifth Ga site, Ga(5) is bonded in a 12-coordinate geometry to one Sc(3), one Sc(4), one Sc(5), one Cu(18), one Cu(2), one Cu(3), one Cu(5), one Cu(8), one Ga(11), one Ga(2), one Ga(3), and one Ga(5) atom. In the sixth Ga site, Ga(6) is bonded in a 12-coordinate geometry to one Sc(3), one Sc(4), one Sc(6), one Cu(1), one Cu(18), one Cu(4), one Cu(6), one Cu(7), one Ga(1), one Ga(12), one Ga(4), and one Ga(6) atom. In the seventh Ga site, Ga(7) is bonded in a 13-coordinate geometry to one Sc(3), one Sc(4), two equivalent Sc(2), two equivalent Cu(11), two equivalent Cu(2), two equivalent Cu(3), one Ga(2), one Ga(3), and one Ga(8) atom. In the eighth Ga site, Ga(8) is bonded in a 13-coordinate geometry to one Sc(3), one Sc(4), two equivalent Sc(1), two equivalent Cu(1), two equivalent Cu(11), two equivalent Cu(4), one Ga(1), one Ga(4), and one Ga(7) atom. In the ninth Ga site, Ga(9) is bonded to two equivalent Sc(1), two equivalent Sc(2), two equivalent Cu(5), two equivalent Cu(6), one Ga(1), one Ga(11), one Ga(12), and one Ga(2) atom to form GaSc4Ga4Cu4 cuboctahedra that share  a cornercorner with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(4)Sc3Ga5Cu4 cuboctahedra,  an edgeedge with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  an edgeedge with one Ga(4)Sc3Ga5Cu4 cuboctahedra,  a faceface with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  a faceface with one Ga(2)Sc3Ga5Cu4 cuboctahedra, and faces with two equivalent Ga(10)Sc4Ga4Cu4 cuboctahedra. In the tenth Ga site, Ga(10) is bonded to two equivalent Sc(1), two equivalent Sc(2), two equivalent Cu(7), two equivalent Cu(8), one Ga(11), one Ga(12), one Ga(3), and one Ga(4) atom to form GaSc4Ga4Cu4 cuboctahedra that share  a cornercorner with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(2)Sc3Ga5Cu4 cuboctahedra,  an edgeedge with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  an edgeedge with one Ga(2)Sc3Ga5Cu4 cuboctahedra,  a faceface with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  a faceface with one Ga(4)Sc3Ga5Cu4 cuboctahedra, and faces with two equivalent Ga(9)Sc4Ga4Cu4 cuboctahedra. In the eleventh Ga site, Ga(11) is bonded in a 12-coordinate geometry to two equivalent Sc(1), two equivalent Cu(5), two equivalent Cu(8), one Ga(10), one Ga(2), one Ga(3), one Ga(9), and two equivalent Ga(5) atoms. In the twelfth Ga site, Ga(12) is bonded in a 12-coordinate geometry to two equivalent Sc(2), two equivalent Cu(6), two equivalent Cu(7), one Ga(1), one Ga(10), one Ga(4), one Ga(9), and two equivalent Ga(6) atoms. In the thirteenth Ga site, Ga(13) is bonded in a distorted body-centered cubic geometry to one Mg(1), one Cu(12), one Cu(13), one Cu(19), two equivalent Cu(5), and two equivalent Cu(6) atoms.
MgSc8Cu29Ga15 crystallizes in the monoclinic Pm space group. Mg(1) is bonded in a 3-coordinate geometry to one Sc(6), two equivalent Sc(2), one Cu(13), one Cu(14), one Cu(15), one Cu(19), two equivalent Cu(6), two equivalent Cu(7), two equivalent Cu(8), and one Ga(13) atom. The Mg(1)-Sc(6) bond length is 3.08 Å. Both Mg(1)-Sc(2) bond lengths are 3.00 Å. The Mg(1)-Cu(13) bond length is 3.08 Å. The Mg(1)-Cu(14) bond length is 2.49 Å. The Mg(1)-Cu(15) bond length is 2.75 Å. The Mg(1)-Cu(19) bond length is 3.08 Å. Both Mg(1)-Cu(6) bond lengths are 3.03 Å. Both Mg(1)-Cu(7) bond lengths are 2.52 Å. Both Mg(1)-Cu(8) bond lengths are 3.25 Å. The Mg(1)-Ga(13) bond length is 2.92 Å. There are six inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 15-coordinate geometry to one Cu(1), one Cu(12), one Cu(15), one Cu(19), one Cu(4), one Cu(5), one Cu(6), one Cu(7), one Cu(8), one Ga(1), one Ga(10), one Ga(11), one Ga(4), one Ga(8), and one Ga(9) atom. The Sc(1)-Cu(1) bond length is 3.06 Å. The Sc(1)-Cu(12) bond length is 2.80 Å. The Sc(1)-Cu(15) bond length is 2.84 Å. The Sc(1)-Cu(19) bond length is 2.82 Å. The Sc(1)-Cu(4) bond length is 3.10 Å. The Sc(1)-Cu(5) bond length is 3.03 Å. The Sc(1)-Cu(6) bond length is 2.95 Å. The Sc(1)-Cu(7) bond length is 2.88 Å. The Sc(1)-Cu(8) bond length is 3.06 Å. The Sc(1)-Ga(1) bond length is 2.96 Å. The Sc(1)-Ga(10) bond length is 3.17 Å. The Sc(1)-Ga(11) bond length is 3.09 Å. The Sc(1)-Ga(4) bond length is 2.99 Å. The Sc(1)-Ga(8) bond length is 3.33 Å. The Sc(1)-Ga(9) bond length is 3.14 Å. In the second Sc site, Sc(2) is bonded in a 15-coordinate geometry to one Mg(1), one Cu(13), one Cu(14), one Cu(2), one Cu(3), one Cu(5), one Cu(6), one Cu(7), one Cu(8), one Ga(10), one Ga(12), one Ga(2), one Ga(3), one Ga(7), and one Ga(9) atom. The Sc(2)-Cu(13) bond length is 2.79 Å. The Sc(2)-Cu(14) bond length is 2.95 Å. The Sc(2)-Cu(2) bond length is 3.00 Å. The Sc(2)-Cu(3) bond length is 3.09 Å. The Sc(2)-Cu(5) bond length is 2.94 Å. The Sc(2)-Cu(6) bond length is 3.11 Å. The Sc(2)-Cu(7) bond length is 3.23 Å. The Sc(2)-Cu(8) bond length is 2.90 Å. The Sc(2)-Ga(10) bond length is 3.16 Å. The Sc(2)-Ga(12) bond length is 3.10 Å. The Sc(2)-Ga(2) bond length is 2.87 Å. The Sc(2)-Ga(3) bond length is 2.93 Å. The Sc(2)-Ga(7) bond length is 3.18 Å. The Sc(2)-Ga(9) bond length is 3.11 Å. In the third Sc site, Sc(3) is bonded in a 17-coordinate geometry to one Sc(4), two equivalent Cu(1), two equivalent Cu(11), two equivalent Cu(18), two equivalent Cu(3), one Ga(1), one Ga(3), one Ga(7), one Ga(8), two equivalent Ga(5), and two equivalent Ga(6) atoms. The Sc(3)-Sc(4) bond length is 3.34 Å. Both Sc(3)-Cu(1) bond lengths are 2.94 Å. Both Sc(3)-Cu(11) bond lengths are 3.30 Å. Both Sc(3)-Cu(18) bond lengths are 3.21 Å. Both Sc(3)-Cu(3) bond lengths are 2.95 Å. The Sc(3)-Ga(1) bond length is 2.95 Å. The Sc(3)-Ga(3) bond length is 2.94 Å. The Sc(3)-Ga(7) bond length is 2.94 Å. The Sc(3)-Ga(8) bond length is 2.88 Å. Both Sc(3)-Ga(5) bond lengths are 2.93 Å. Both Sc(3)-Ga(6) bond lengths are 2.93 Å. In the fourth Sc site, Sc(4) is bonded in a 12-coordinate geometry to one Sc(3), two equivalent Cu(18), two equivalent Cu(2), two equivalent Cu(4), one Ga(2), one Ga(4), one Ga(7), one Ga(8), two equivalent Ga(5), and two equivalent Ga(6) atoms. Both Sc(4)-Cu(18) bond lengths are 3.22 Å. Both Sc(4)-Cu(2) bond lengths are 2.96 Å. Both Sc(4)-Cu(4) bond lengths are 2.97 Å. The Sc(4)-Ga(2) bond length is 2.92 Å. The Sc(4)-Ga(4) bond length is 2.93 Å. The Sc(4)-Ga(7) bond length is 2.90 Å. The Sc(4)-Ga(8) bond length is 2.93 Å. Both Sc(4)-Ga(5) bond lengths are 2.97 Å. Both Sc(4)-Ga(6) bond lengths are 2.91 Å. In the fifth Sc site, Sc(5) is bonded in a 17-coordinate geometry to one Cu(13), one Cu(14), one Cu(16), one Cu(17), one Cu(19), two equivalent Cu(18), two equivalent Cu(2), two equivalent Cu(3), two equivalent Cu(5), two equivalent Cu(8), and two equivalent Ga(5) atoms. The Sc(5)-Cu(13) bond length is 3.01 Å. The Sc(5)-Cu(14) bond length is 2.88 Å. The Sc(5)-Cu(16) bond length is 3.27 Å. The Sc(5)-Cu(17) bond length is 3.22 Å. The Sc(5)-Cu(19) bond length is 2.88 Å. Both Sc(5)-Cu(18) bond lengths are 2.83 Å. Both Sc(5)-Cu(2) bond lengths are 3.06 Å. Both Sc(5)-Cu(3) bond lengths are 3.11 Å. Both Sc(5)-Cu(5) bond lengths are 2.88 Å. Both Sc(5)-Cu(8) bond lengths are 3.03 Å. Both Sc(5)-Ga(5) bond lengths are 2.86 Å. In the sixth Sc site, Sc(6) is bonded in a 17-coordinate geometry to one Mg(1), one Cu(12), one Cu(15), one Cu(16), one Cu(17), two equivalent Cu(1), two equivalent Cu(18), two equivalent Cu(4), two equivalent Cu(6), two equivalent Cu(7), and two equivalent Ga(6) atoms. The Sc(6)-Cu(12) bond length is 2.93 Å. The Sc(6)-Cu(15) bond length is 2.97 Å. The Sc(6)-Cu(16) bond length is 3.14 Å. The Sc(6)-Cu(17) bond length is 3.17 Å. Both Sc(6)-Cu(1) bond lengths are 3.07 Å. Both Sc(6)-Cu(18) bond lengths are 2.77 Å. Both Sc(6)-Cu(4) bond lengths are 3.08 Å. Both Sc(6)-Cu(6) bond lengths are 2.94 Å. Both Sc(6)-Cu(7) bond lengths are 3.08 Å. Both Sc(6)-Ga(6) bond lengths are 2.85 Å. There are nineteen inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a 12-coordinate geometry to one Sc(1), one Sc(3), one Sc(6), one Cu(11), one Cu(12), one Cu(16), one Cu(18), one Cu(6), one Cu(9), one Ga(1), one Ga(6), and one Ga(8) atom. The Cu(1)-Cu(11) bond length is 2.55 Å. The Cu(1)-Cu(12) bond length is 2.48 Å. The Cu(1)-Cu(16) bond length is 2.53 Å. The Cu(1)-Cu(18) bond length is 2.95 Å. The Cu(1)-Cu(6) bond length is 2.71 Å. The Cu(1)-Cu(9) bond length is 2.70 Å. The Cu(1)-Ga(1) bond length is 2.58 Å. The Cu(1)-Ga(6) bond length is 2.57 Å. The Cu(1)-Ga(8) bond length is 2.96 Å. In the second Cu site, Cu(2) is bonded in a 12-coordinate geometry to one Sc(2), one Sc(4), one Sc(5), one Cu(10), one Cu(11), one Cu(13), one Cu(17), one Cu(18), one Cu(5), one Ga(2), one Ga(5), and one Ga(7) atom. The Cu(2)-Cu(10) bond length is 2.68 Å. The Cu(2)-Cu(11) bond length is 2.56 Å. The Cu(2)-Cu(13) bond length is 2.52 Å. The Cu(2)-Cu(17) bond length is 2.51 Å. The Cu(2)-Cu(18) bond length is 2.91 Å. The Cu(2)-Cu(5) bond length is 2.69 Å. The Cu(2)-Ga(2) bond length is 2.59 Å. The Cu(2)-Ga(5) bond length is 2.57 Å. The Cu(2)-Ga(7) bond length is 3.00 Å. In the third Cu site, Cu(3) is bonded in a 12-coordinate geometry to one Sc(2), one Sc(3), one Sc(5), one Cu(10), one Cu(11), one Cu(14), one Cu(16), one Cu(18), one Cu(8), one Ga(3), one Ga(5), and one Ga(7) atom. The Cu(3)-Cu(10) bond length is 2.65 Å. The Cu(3)-Cu(11) bond length is 2.54 Å. The Cu(3)-Cu(14) bond length is 2.49 Å. The Cu(3)-Cu(16) bond length is 2.54 Å. The Cu(3)-Cu(18) bond length is 2.93 Å. The Cu(3)-Cu(8) bond length is 2.67 Å. The Cu(3)-Ga(3) bond length is 2.59 Å. The Cu(3)-Ga(5) bond length is 2.55 Å. The Cu(3)-Ga(7) bond length is 3.00 Å. In the fourth Cu site, Cu(4) is bonded in a 12-coordinate geometry to one Sc(1), one Sc(4), one Sc(6), one Cu(11), one Cu(15), one Cu(17), one Cu(18), one Cu(7), one Cu(9), one Ga(4), one Ga(6), and one Ga(8) atom. The Cu(4)-Cu(11) bond length is 2.55 Å. The Cu(4)-Cu(15) bond length is 2.55 Å. The Cu(4)-Cu(17) bond length is 2.54 Å. The Cu(4)-Cu(18) bond length is 2.98 Å. The Cu(4)-Cu(7) bond length is 2.58 Å. The Cu(4)-Cu(9) bond length is 2.61 Å. The Cu(4)-Ga(4) bond length is 2.59 Å. The Cu(4)-Ga(6) bond length is 2.58 Å. The Cu(4)-Ga(8) bond length is 3.02 Å. In the fifth Cu site, Cu(5) is bonded in a 13-coordinate geometry to one Sc(1), one Sc(2), one Sc(5), one Cu(13), one Cu(19), one Cu(2), one Cu(6), one Cu(8), one Ga(11), one Ga(13), one Ga(2), one Ga(5), and one Ga(9) atom. The Cu(5)-Cu(13) bond length is 2.71 Å. The Cu(5)-Cu(19) bond length is 2.89 Å. The Cu(5)-Cu(6) bond length is 3.16 Å. The Cu(5)-Cu(8) bond length is 2.70 Å. The Cu(5)-Ga(11) bond length is 2.54 Å. The Cu(5)-Ga(13) bond length is 2.51 Å. The Cu(5)-Ga(2) bond length is 2.72 Å. The Cu(5)-Ga(5) bond length is 2.62 Å. The Cu(5)-Ga(9) bond length is 2.68 Å. In the sixth Cu site, Cu(6) is bonded in a 12-coordinate geometry to one Mg(1), one Sc(1), one Sc(2), one Sc(6), one Cu(1), one Cu(12), one Cu(5), one Cu(7), one Ga(1), one Ga(12), one Ga(13), one Ga(6), and one Ga(9) atom. The Cu(6)-Cu(12) bond length is 2.66 Å. The Cu(6)-Cu(7) bond length is 2.67 Å. The Cu(6)-Ga(1) bond length is 2.74 Å. The Cu(6)-Ga(12) bond length is 2.55 Å. The Cu(6)-Ga(13) bond length is 2.55 Å. The Cu(6)-Ga(6) bond length is 2.66 Å. The Cu(6)-Ga(9) bond length is 2.71 Å. In the seventh Cu site, Cu(7) is bonded in a 1-coordinate geometry to one Mg(1), one Sc(1), one Sc(2), one Sc(6), one Cu(15), one Cu(4), one Cu(6), one Cu(8), one Ga(10), one Ga(12), one Ga(4), and one Ga(6) atom. The Cu(7)-Cu(15) bond length is 2.57 Å. The Cu(7)-Cu(8) bond length is 3.07 Å. The Cu(7)-Ga(10) bond length is 2.60 Å. The Cu(7)-Ga(12) bond length is 2.52 Å. The Cu(7)-Ga(4) bond length is 2.57 Å. The Cu(7)-Ga(6) bond length is 2.64 Å. In the eighth Cu site, Cu(8) is bonded in a 13-coordinate geometry to one Mg(1), one Sc(1), one Sc(2), one Sc(5), one Cu(14), one Cu(19), one Cu(3), one Cu(5), one Cu(7), one Ga(10), one Ga(11), one Ga(3), and one Ga(5) atom. The Cu(8)-Cu(14) bond length is 2.53 Å. The Cu(8)-Cu(19) bond length is 2.47 Å. The Cu(8)-Ga(10) bond length is 2.62 Å. The Cu(8)-Ga(11) bond length is 2.59 Å. The Cu(8)-Ga(3) bond length is 2.67 Å. The Cu(8)-Ga(5) bond length is 2.74 Å. In the ninth Cu site, Cu(9) is bonded in a 11-coordinate geometry to one Cu(10), one Cu(12), one Cu(15), one Cu(16), one Cu(17), two equivalent Cu(1), two equivalent Cu(11), and two equivalent Cu(4) atoms. The Cu(9)-Cu(10) bond length is 2.72 Å. The Cu(9)-Cu(12) bond length is 2.41 Å. The Cu(9)-Cu(15) bond length is 2.53 Å. The Cu(9)-Cu(16) bond length is 2.56 Å. The Cu(9)-Cu(17) bond length is 2.52 Å. Both Cu(9)-Cu(11) bond lengths are 2.51 Å. In the tenth Cu site, Cu(10) is bonded in a 11-coordinate geometry to one Cu(13), one Cu(14), one Cu(16), one Cu(17), one Cu(9), two equivalent Cu(11), two equivalent Cu(2), and two equivalent Cu(3) atoms. The Cu(10)-Cu(13) bond length is 2.41 Å. The Cu(10)-Cu(14) bond length is 2.47 Å. The Cu(10)-Cu(16) bond length is 2.52 Å. The Cu(10)-Cu(17) bond length is 2.54 Å. Both Cu(10)-Cu(11) bond lengths are 2.49 Å. In the eleventh Cu site, Cu(11) is bonded in a 8-coordinate geometry to one Sc(3), one Cu(1), one Cu(10), one Cu(16), one Cu(2), one Cu(3), one Cu(4), one Cu(9), one Ga(7), and one Ga(8) atom. The Cu(11)-Cu(16) bond length is 2.99 Å. The Cu(11)-Ga(7) bond length is 2.49 Å. The Cu(11)-Ga(8) bond length is 2.48 Å. In the twelfth Cu site, Cu(12) is bonded in a 9-coordinate geometry to one Sc(6), two equivalent Sc(1), one Cu(15), one Cu(9), two equivalent Cu(1), two equivalent Cu(6), and one Ga(13) atom. The Cu(12)-Cu(15) bond length is 2.93 Å. The Cu(12)-Ga(13) bond length is 2.33 Å. In the thirteenth Cu site, Cu(13) is bonded in a 11-coordinate geometry to one Mg(1), one Sc(5), two equivalent Sc(2), one Cu(10), one Cu(14), two equivalent Cu(2), two equivalent Cu(5), and one Ga(13) atom. The Cu(13)-Cu(14) bond length is 2.84 Å. The Cu(13)-Ga(13) bond length is 2.34 Å. In the fourteenth Cu site, Cu(14) is bonded in a 1-coordinate geometry to one Mg(1), one Sc(5), two equivalent Sc(2), one Cu(10), one Cu(13), two equivalent Cu(3), and two equivalent Cu(8) atoms. In the fifteenth Cu site, Cu(15) is bonded in a 11-coordinate geometry to one Mg(1), one Sc(6), two equivalent Sc(1), one Cu(12), one Cu(19), one Cu(9), two equivalent Cu(4), and two equivalent Cu(7) atoms. The Cu(15)-Cu(19) bond length is 2.50 Å. In the sixteenth Cu site, Cu(16) is bonded in a 12-coordinate geometry to one Sc(5), one Sc(6), one Cu(10), one Cu(9), two equivalent Cu(1), two equivalent Cu(11), two equivalent Cu(18), and two equivalent Cu(3) atoms. Both Cu(16)-Cu(18) bond lengths are 2.53 Å. In the seventeenth Cu site, Cu(17) is bonded in a 10-coordinate geometry to one Sc(5), one Sc(6), one Cu(10), one Cu(9), two equivalent Cu(18), two equivalent Cu(2), and two equivalent Cu(4) atoms. Both Cu(17)-Cu(18) bond lengths are 2.52 Å. In the eighteenth Cu site, Cu(18) is bonded in a 13-coordinate geometry to one Sc(3), one Sc(4), one Sc(5), one Sc(6), one Cu(1), one Cu(16), one Cu(17), one Cu(18), one Cu(2), one Cu(3), one Cu(4), one Ga(5), and one Ga(6) atom. The Cu(18)-Cu(18) bond length is 2.82 Å. The Cu(18)-Ga(5) bond length is 2.45 Å. The Cu(18)-Ga(6) bond length is 2.47 Å. In the nineteenth Cu site, Cu(19) is bonded in a 8-coordinate geometry to one Mg(1), one Sc(5), two equivalent Sc(1), one Cu(15), two equivalent Cu(5), two equivalent Cu(8), and one Ga(13) atom. The Cu(19)-Ga(13) bond length is 2.51 Å. There are thirteen inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one Sc(3), two equivalent Sc(1), two equivalent Cu(1), two equivalent Cu(6), one Ga(12), one Ga(8), one Ga(9), and two equivalent Ga(6) atoms to form distorted GaSc3Ga5Cu4 cuboctahedra that share  a cornercorner with one Ga(2)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(10)Sc4Ga4Cu4 cuboctahedra,  an edgeedge with one Ga(10)Sc4Ga4Cu4 cuboctahedra,  a faceface with one Ga(9)Sc4Ga4Cu4 cuboctahedra, and faces with two equivalent Ga(4)Sc3Ga5Cu4 cuboctahedra. The Ga(1)-Ga(12) bond length is 2.75 Å. The Ga(1)-Ga(8) bond length is 2.47 Å. The Ga(1)-Ga(9) bond length is 2.63 Å. Both Ga(1)-Ga(6) bond lengths are 2.77 Å. In the second Ga site, Ga(2) is bonded to one Sc(4), two equivalent Sc(2), two equivalent Cu(2), two equivalent Cu(5), one Ga(11), one Ga(7), one Ga(9), and two equivalent Ga(5) atoms to form distorted GaSc3Ga5Cu4 cuboctahedra that share  a cornercorner with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(4)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(10)Sc4Ga4Cu4 cuboctahedra,  an edgeedge with one Ga(10)Sc4Ga4Cu4 cuboctahedra,  a faceface with one Ga(9)Sc4Ga4Cu4 cuboctahedra, and faces with two equivalent Ga(3)Sc3Ga5Cu4 cuboctahedra. The Ga(2)-Ga(11) bond length is 2.77 Å. The Ga(2)-Ga(7) bond length is 2.48 Å. The Ga(2)-Ga(9) bond length is 2.65 Å. Both Ga(2)-Ga(5) bond lengths are 2.74 Å. In the third Ga site, Ga(3) is bonded to one Sc(3), two equivalent Sc(2), two equivalent Cu(3), two equivalent Cu(8), one Ga(10), one Ga(11), one Ga(7), and two equivalent Ga(5) atoms to form distorted GaSc3Ga5Cu4 cuboctahedra that share  a cornercorner with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(4)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(9)Sc4Ga4Cu4 cuboctahedra,  an edgeedge with one Ga(9)Sc4Ga4Cu4 cuboctahedra,  a faceface with one Ga(10)Sc4Ga4Cu4 cuboctahedra, and faces with two equivalent Ga(2)Sc3Ga5Cu4 cuboctahedra. The Ga(3)-Ga(10) bond length is 2.64 Å. The Ga(3)-Ga(11) bond length is 2.74 Å. The Ga(3)-Ga(7) bond length is 2.46 Å. Both Ga(3)-Ga(5) bond lengths are 2.77 Å. In the fourth Ga site, Ga(4) is bonded to one Sc(4), two equivalent Sc(1), two equivalent Cu(4), two equivalent Cu(7), one Ga(10), one Ga(12), one Ga(8), and two equivalent Ga(6) atoms to form distorted GaSc3Ga5Cu4 cuboctahedra that share  a cornercorner with one Ga(2)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(9)Sc4Ga4Cu4 cuboctahedra,  an edgeedge with one Ga(9)Sc4Ga4Cu4 cuboctahedra,  a faceface with one Ga(10)Sc4Ga4Cu4 cuboctahedra, and faces with two equivalent Ga(1)Sc3Ga5Cu4 cuboctahedra. The Ga(4)-Ga(10) bond length is 2.64 Å. The Ga(4)-Ga(12) bond length is 2.80 Å. The Ga(4)-Ga(8) bond length is 2.46 Å. Both Ga(4)-Ga(6) bond lengths are 2.81 Å. In the fifth Ga site, Ga(5) is bonded in a 12-coordinate geometry to one Sc(3), one Sc(4), one Sc(5), one Cu(18), one Cu(2), one Cu(3), one Cu(5), one Cu(8), one Ga(11), one Ga(2), one Ga(3), and one Ga(5) atom. The Ga(5)-Ga(11) bond length is 2.76 Å. The Ga(5)-Ga(5) bond length is 2.67 Å. In the sixth Ga site, Ga(6) is bonded in a 12-coordinate geometry to one Sc(3), one Sc(4), one Sc(6), one Cu(1), one Cu(18), one Cu(4), one Cu(6), one Cu(7), one Ga(1), one Ga(12), one Ga(4), and one Ga(6) atom. The Ga(6)-Ga(12) bond length is 2.79 Å. The Ga(6)-Ga(6) bond length is 2.66 Å. In the seventh Ga site, Ga(7) is bonded in a 13-coordinate geometry to one Sc(3), one Sc(4), two equivalent Sc(2), two equivalent Cu(11), two equivalent Cu(2), two equivalent Cu(3), one Ga(2), one Ga(3), and one Ga(8) atom. The Ga(7)-Ga(8) bond length is 2.76 Å. In the eighth Ga site, Ga(8) is bonded in a 13-coordinate geometry to one Sc(3), one Sc(4), two equivalent Sc(1), two equivalent Cu(1), two equivalent Cu(11), two equivalent Cu(4), one Ga(1), one Ga(4), and one Ga(7) atom. In the ninth Ga site, Ga(9) is bonded to two equivalent Sc(1), two equivalent Sc(2), two equivalent Cu(5), two equivalent Cu(6), one Ga(1), one Ga(11), one Ga(12), and one Ga(2) atom to form GaSc4Ga4Cu4 cuboctahedra that share  a cornercorner with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(4)Sc3Ga5Cu4 cuboctahedra,  an edgeedge with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  an edgeedge with one Ga(4)Sc3Ga5Cu4 cuboctahedra,  a faceface with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  a faceface with one Ga(2)Sc3Ga5Cu4 cuboctahedra, and faces with two equivalent Ga(10)Sc4Ga4Cu4 cuboctahedra. The Ga(9)-Ga(11) bond length is 2.37 Å. The Ga(9)-Ga(12) bond length is 2.36 Å. In the tenth Ga site, Ga(10) is bonded to two equivalent Sc(1), two equivalent Sc(2), two equivalent Cu(7), two equivalent Cu(8), one Ga(11), one Ga(12), one Ga(3), and one Ga(4) atom to form GaSc4Ga4Cu4 cuboctahedra that share  a cornercorner with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  a cornercorner with one Ga(2)Sc3Ga5Cu4 cuboctahedra,  an edgeedge with one Ga(1)Sc3Ga5Cu4 cuboctahedra,  an edgeedge with one Ga(2)Sc3Ga5Cu4 cuboctahedra,  a faceface with one Ga(3)Sc3Ga5Cu4 cuboctahedra,  a faceface with one Ga(4)Sc3Ga5Cu4 cuboctahedra, and faces with two equivalent Ga(9)Sc4Ga4Cu4 cuboctahedra. The Ga(10)-Ga(11) bond length is 2.37 Å. The Ga(10)-Ga(12) bond length is 2.38 Å. In the eleventh Ga site, Ga(11) is bonded in a 12-coordinate geometry to two equivalent Sc(1), two equivalent Cu(5), two equivalent Cu(8), one Ga(10), one Ga(2), one Ga(3), one Ga(9), and two equivalent Ga(5) atoms. In the twelfth Ga site, Ga(12) is bonded in a 12-coordinate geometry to two equivalent Sc(2), two equivalent Cu(6), two equivalent Cu(7), one Ga(1), one Ga(10), one Ga(4), one Ga(9), and two equivalent Ga(6) atoms. In the thirteenth Ga site, Ga(13) is bonded in a distorted body-centered cubic geometry to one Mg(1), one Cu(12), one Cu(13), one Cu(19), two equivalent Cu(5), and two equivalent Cu(6) atoms.