The crystal structure described by 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. is represented by the CIF card [CIF]
data_MgSc8Ga15Cu29
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.317
_cell_length_b   8.472
_cell_length_c   11.777
_cell_angle_alpha   69.333
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   776.388
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Mg  Mg0  1  0.000  0.173  0.485  1.0
  Sc  Sc1  1  0.725  0.810  0.374  1.0
  Sc  Sc2  1  0.713  0.189  0.635  1.0
  Sc  Sc3  1  0.287  0.189  0.635  1.0
  Sc  Sc4  1  0.275  0.810  0.374  1.0
  Sc  Sc5  1  0.500  0.697  1.000  1.0
  Sc  Sc6  1  0.500  0.301  0.001  1.0
  Sc  Sc7  1  0.000  0.609  0.775  1.0
  Sc  Sc8  1  0.000  0.397  0.214  1.0
  Ga  Ga9  1  0.500  0.637  0.262  1.0
  Ga  Ga10  1  0.500  0.365  0.741  1.0
  Ga  Ga11  1  0.500  0.899  0.739  1.0
  Ga  Ga12  1  0.500  0.097  0.261  1.0
  Ga  Ga13  1  0.660  0.593  0.816  1.0
  Ga  Ga14  1  0.660  0.410  0.181  1.0
  Ga  Ga15  1  0.340  0.410  0.181  1.0
  Ga  Ga16  1  0.340  0.593  0.816  1.0
  Ga  Ga17  1  0.500  0.064  0.874  1.0
  Ga  Ga18  1  0.500  0.935  0.125  1.0
  Ga  Ga19  1  0.500  0.501  0.501  1.0
  Ga  Ga20  1  0.500  0.001  0.500  1.0
  Ga  Ga21  1  0.500  0.704  0.597  1.0
  Ga  Ga22  1  0.500  0.300  0.404  1.0
  Ga  Ga23  1  0.000  0.509  0.501  1.0
  Cu  Cu24  1  0.776  0.702  0.154  1.0
  Cu  Cu25  1  0.779  0.301  0.845  1.0
  Cu  Cu26  1  0.223  0.855  0.846  1.0
  Cu  Cu27  1  0.220  0.143  0.156  1.0
  Cu  Cu28  1  0.221  0.301  0.845  1.0
  Cu  Cu29  1  0.224  0.702  0.154  1.0
  Cu  Cu30  1  0.780  0.143  0.156  1.0
  Cu  Cu31  1  0.777  0.855  0.846  1.0
  Cu  Cu32  1  0.761  0.539  0.622  1.0
  Cu  Cu33  1  0.765  0.461  0.379  1.0
  Cu  Cu34  1  0.252  0.149  0.373  1.0
  Cu  Cu35  1  0.240  0.859  0.618  1.0
  Cu  Cu36  1  0.235  0.461  0.379  1.0
  Cu  Cu37  1  0.239  0.539  0.622  1.0
  Cu  Cu38  1  0.760  0.859  0.618  1.0
  Cu  Cu39  1  0.748  0.149  0.373  1.0
  Cu  Cu40  1  0.000  0.943  0.125  1.0
  Cu  Cu41  1  0.000  0.058  0.877  1.0
  Cu  Cu42  1  0.748  0.001  1.000  1.0
  Cu  Cu43  1  0.252  0.001  1.000  1.0
  Cu  Cu44  1  0.000  0.685  0.297  1.0
  Cu  Cu45  1  0.000  0.307  0.697  1.0
  Cu  Cu46  1  0.000  0.971  0.698  1.0
  Cu  Cu47  1  0.000  0.022  0.313  1.0
  Cu  Cu48  1  0.000  0.747  0.002  1.0
  Cu  Cu49  1  0.000  0.254  0.999  1.0
  Cu  Cu50  1  0.830  0.502  0.998  1.0
  Cu  Cu51  1  0.170  0.502  0.998  1.0
  Cu  Cu52  1  0.000  0.796  0.518  1.0
[/CIF]
.
The crystal structure described by 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. is represented by the CIF card [CIF]
data_MgSc8Ga15Cu29
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.317
_cell_length_b   8.472
_cell_length_c   11.777
_cell_angle_alpha   69.333
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   776.388
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Mg  Mg0  1  0.000  0.173  0.485  1.0
  Sc  Sc1  1  0.725  0.810  0.374  1.0
  Sc  Sc2  1  0.713  0.189  0.635  1.0
  Sc  Sc3  1  0.287  0.189  0.635  1.0
  Sc  Sc4  1  0.275  0.810  0.374  1.0
  Sc  Sc5  1  0.500  0.697  1.000  1.0
  Sc  Sc6  1  0.500  0.301  0.001  1.0
  Sc  Sc7  1  0.000  0.609  0.775  1.0
  Sc  Sc8  1  0.000  0.397  0.214  1.0
  Ga  Ga9  1  0.500  0.637  0.262  1.0
  Ga  Ga10  1  0.500  0.365  0.741  1.0
  Ga  Ga11  1  0.500  0.899  0.739  1.0
  Ga  Ga12  1  0.500  0.097  0.261  1.0
  Ga  Ga13  1  0.660  0.593  0.816  1.0
  Ga  Ga14  1  0.660  0.410  0.181  1.0
  Ga  Ga15  1  0.340  0.410  0.181  1.0
  Ga  Ga16  1  0.340  0.593  0.816  1.0
  Ga  Ga17  1  0.500  0.064  0.874  1.0
  Ga  Ga18  1  0.500  0.935  0.125  1.0
  Ga  Ga19  1  0.500  0.501  0.501  1.0
  Ga  Ga20  1  0.500  0.001  0.500  1.0
  Ga  Ga21  1  0.500  0.704  0.597  1.0
  Ga  Ga22  1  0.500  0.300  0.404  1.0
  Ga  Ga23  1  0.000  0.509  0.501  1.0
  Cu  Cu24  1  0.776  0.702  0.154  1.0
  Cu  Cu25  1  0.779  0.301  0.845  1.0
  Cu  Cu26  1  0.223  0.855  0.846  1.0
  Cu  Cu27  1  0.220  0.143  0.156  1.0
  Cu  Cu28  1  0.221  0.301  0.845  1.0
  Cu  Cu29  1  0.224  0.702  0.154  1.0
  Cu  Cu30  1  0.780  0.143  0.156  1.0
  Cu  Cu31  1  0.777  0.855  0.846  1.0
  Cu  Cu32  1  0.761  0.539  0.622  1.0
  Cu  Cu33  1  0.765  0.461  0.379  1.0
  Cu  Cu34  1  0.252  0.149  0.373  1.0
  Cu  Cu35  1  0.240  0.859  0.618  1.0
  Cu  Cu36  1  0.235  0.461  0.379  1.0
  Cu  Cu37  1  0.239  0.539  0.622  1.0
  Cu  Cu38  1  0.760  0.859  0.618  1.0
  Cu  Cu39  1  0.748  0.149  0.373  1.0
  Cu  Cu40  1  0.000  0.943  0.125  1.0
  Cu  Cu41  1  0.000  0.058  0.877  1.0
  Cu  Cu42  1  0.748  0.001  1.000  1.0
  Cu  Cu43  1  0.252  0.001  1.000  1.0
  Cu  Cu44  1  0.000  0.685  0.297  1.0
  Cu  Cu45  1  0.000  0.307  0.697  1.0
  Cu  Cu46  1  0.000  0.971  0.698  1.0
  Cu  Cu47  1  0.000  0.022  0.313  1.0
  Cu  Cu48  1  0.000  0.747  0.002  1.0
  Cu  Cu49  1  0.000  0.254  0.999  1.0
  Cu  Cu50  1  0.830  0.502  0.998  1.0
  Cu  Cu51  1  0.170  0.502  0.998  1.0
  Cu  Cu52  1  0.000  0.796  0.518  1.0
[/CIF]
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