The material described by 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. is represented by the CIF card [CIF]
data_Lu6Ga19Pd3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.112
_cell_length_b   8.112
_cell_length_c   15.867
_cell_angle_alpha   76.364
_cell_angle_beta   76.364
_cell_angle_gamma   30.322
_symmetry_Int_Tables_number   1
_cell_volume   511.212
_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
  Lu  Lu0  1  0.098  0.098  0.598  1.0
  Lu  Lu1  1  0.600  0.600  0.099  1.0
  Lu  Lu2  1  0.399  0.399  0.902  1.0
  Lu  Lu3  1  0.902  0.902  0.401  1.0
  Lu  Lu4  1  0.251  0.251  0.750  1.0
  Lu  Lu5  1  0.750  0.750  0.250  1.0
  Ga  Ga6  1  0.038  0.038  0.823  1.0
  Ga  Ga7  1  0.540  0.540  0.320  1.0
  Ga  Ga8  1  0.461  0.461  0.681  1.0
  Ga  Ga9  1  0.961  0.961  0.177  1.0
  Ga  Ga10  1  0.320  0.320  0.537  1.0
  Ga  Ga11  1  0.822  0.822  0.039  1.0
  Ga  Ga12  1  0.178  0.178  0.962  1.0
  Ga  Ga13  1  0.679  0.679  0.461  1.0
  Ga  Ga14  1  0.890  0.890  0.764  1.0
  Ga  Ga15  1  0.392  0.392  0.261  1.0
  Ga  Ga16  1  0.608  0.608  0.741  1.0
  Ga  Ga17  1  0.109  0.109  0.239  1.0
  Ga  Ga18  1  0.760  0.760  0.894  1.0
  Ga  Ga19  1  0.261  0.261  0.390  1.0
  Ga  Ga20  1  0.736  0.736  0.609  1.0
  Ga  Ga21  1  0.240  0.240  0.107  1.0
  Ga  Ga22  1  1.000  1.000  0.001  1.0
  Ga  Ga23  1  0.504  0.504  0.495  1.0
  Ga  Ga24  1  0.907  0.907  0.594  1.0
  Pd  Pd25  1  0.410  0.410  0.091  1.0
  Pd  Pd26  1  0.591  0.591  0.909  1.0
  Pd  Pd27  1  0.094  0.094  0.405  1.0
[/CIF]
.
The material described by 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. is represented by the CIF card [CIF]
data_Lu6Ga19Pd3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.112
_cell_length_b   8.112
_cell_length_c   15.867
_cell_angle_alpha   76.364
_cell_angle_beta   76.364
_cell_angle_gamma   30.322
_symmetry_Int_Tables_number   1
_cell_volume   511.212
_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
  Lu  Lu0  1  0.098  0.098  0.598  1.0
  Lu  Lu1  1  0.600  0.600  0.099  1.0
  Lu  Lu2  1  0.399  0.399  0.902  1.0
  Lu  Lu3  1  0.902  0.902  0.401  1.0
  Lu  Lu4  1  0.251  0.251  0.750  1.0
  Lu  Lu5  1  0.750  0.750  0.250  1.0
  Ga  Ga6  1  0.038  0.038  0.823  1.0
  Ga  Ga7  1  0.540  0.540  0.320  1.0
  Ga  Ga8  1  0.461  0.461  0.681  1.0
  Ga  Ga9  1  0.961  0.961  0.177  1.0
  Ga  Ga10  1  0.320  0.320  0.537  1.0
  Ga  Ga11  1  0.822  0.822  0.039  1.0
  Ga  Ga12  1  0.178  0.178  0.962  1.0
  Ga  Ga13  1  0.679  0.679  0.461  1.0
  Ga  Ga14  1  0.890  0.890  0.764  1.0
  Ga  Ga15  1  0.392  0.392  0.261  1.0
  Ga  Ga16  1  0.608  0.608  0.741  1.0
  Ga  Ga17  1  0.109  0.109  0.239  1.0
  Ga  Ga18  1  0.760  0.760  0.894  1.0
  Ga  Ga19  1  0.261  0.261  0.390  1.0
  Ga  Ga20  1  0.736  0.736  0.609  1.0
  Ga  Ga21  1  0.240  0.240  0.107  1.0
  Ga  Ga22  1  1.000  1.000  0.001  1.0
  Ga  Ga23  1  0.504  0.504  0.495  1.0
  Ga  Ga24  1  0.907  0.907  0.594  1.0
  Pd  Pd25  1  0.410  0.410  0.091  1.0
  Pd  Pd26  1  0.591  0.591  0.909  1.0
  Pd  Pd27  1  0.094  0.094  0.405  1.0
[/CIF]
.