The crystal structure described by Dy6Pt3Ga19 crystallizes in the monoclinic Cm space group. There are six inequivalent Dy sites. In the first Dy site, Dy(1) 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), two equivalent Ga(19), and two equivalent Ga(9) atoms to form distorted DyGa14 cuboctahedra that share corners with two equivalent Ga(17)Dy4Ga6Pt2 cuboctahedra,  an edgeedge with one Ga(18)Dy4Ga4Pt4 cuboctahedra,  a faceface with one Ga(17)Dy4Ga6Pt2 cuboctahedra, and faces with two equivalent Dy(1)Ga14 cuboctahedra. In the second Dy site, Dy(2) 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 DyGa12 cuboctahedra that share  an edgeedge with one Ga(18)Dy4Ga4Pt4 cuboctahedra,  an edgeedge with one Ga(17)Dy4Ga6Pt2 cuboctahedra, and faces with two equivalent Dy(2)Ga12 cuboctahedra. In the third Dy site, Dy(3) is bonded in a 14-coordinate geometry to one Pt(1), one Pt(2), one Ga(1), one Ga(5), two equivalent Ga(11), two equivalent Ga(15), two equivalent Ga(18), two equivalent Ga(4), and two equivalent Ga(7) atoms. In the fourth Dy site, Dy(4) is bonded in a 14-coordinate geometry to one Pt(3), one Ga(19), one Ga(2), one Ga(6), two equivalent Ga(12), two equivalent Ga(16), two equivalent Ga(17), two equivalent Ga(3), and two equivalent Ga(8) atoms. In the fifth Dy site, Dy(5) is bonded in a 14-coordinate geometry to one Pt(3), one Ga(19), one Ga(3), one Ga(7), two equivalent Ga(13), two equivalent Ga(17), two equivalent Ga(2), two equivalent Ga(5), and two equivalent Ga(9) atoms. In the sixth Dy site, Dy(6) is bonded in a 14-coordinate geometry to one Pt(1), one Pt(2), one Ga(4), one Ga(8), two equivalent Ga(1), two equivalent Ga(10), two equivalent Ga(14), two equivalent Ga(18), and two equivalent Ga(6) atoms. There are three inequivalent Pt sites. In the first Pt site, Pt(1) is bonded in a 10-coordinate geometry to one Dy(3), one Dy(6), one Ga(10), one Ga(16), two equivalent Ga(18), two equivalent Ga(4), and two equivalent Ga(6) atoms. In the second Pt site, Pt(2) is bonded in a 10-coordinate geometry to one Dy(3), one Dy(6), one Ga(11), one Ga(13), two equivalent Ga(1), two equivalent Ga(18), and two equivalent Ga(7) atoms. In the third Pt site, Pt(3) is bonded in a 10-coordinate geometry to one Dy(4), one Dy(5), one Ga(12), one Ga(14), two equivalent Ga(17), 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 Dy(1), one Dy(3), two equivalent Dy(6), two equivalent Pt(2), one Ga(10), one Ga(18), and two equivalent Ga(11) atoms. In the second Ga site, Ga(2) is bonded in a 10-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(5), two equivalent Pt(3), one Ga(17), one Ga(9), and two equivalent Ga(12) atoms. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to one Dy(1), one Dy(5), two equivalent Dy(4), one Ga(12), one Ga(17), 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 Dy(2), one Dy(6), two equivalent Dy(3), two equivalent Pt(1), one Ga(11), one Ga(18), and two equivalent Ga(10) atoms. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Dy(1), one Dy(3), two equivalent Dy(5), one Ga(13), one Ga(17), 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 Dy(2), one Dy(4), two equivalent Dy(6), two equivalent Pt(1), one Ga(14), one Ga(18), and two equivalent Ga(16) atoms. In the seventh Ga site, Ga(7) is bonded in a 10-coordinate geometry to one Dy(1), one Dy(5), two equivalent Dy(3), two equivalent Pt(2), one Ga(15), one Ga(18), and two equivalent Ga(13) atoms. In the eighth Ga site, Ga(8) is bonded in a 10-coordinate geometry to one Dy(2), one Dy(6), two equivalent Dy(4), two equivalent Pt(3), one Ga(16), one Ga(17), and two equivalent Ga(14) atoms. In the ninth Ga site, Ga(9) is bonded in a 9-coordinate geometry to two equivalent Dy(1), two equivalent Dy(5), one Ga(13), one Ga(19), one Ga(2), and two equivalent Ga(3) atoms. In the tenth Ga site, Ga(10) is bonded in a 9-coordinate geometry to two equivalent Dy(2), two equivalent Dy(6), one Pt(1), one Ga(1), one Ga(14), and two equivalent Ga(4) atoms. In the eleventh Ga site, Ga(11) is bonded in a 1-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Pt(2), one Ga(15), one Ga(4), and two equivalent Ga(1) atoms. In the twelfth Ga site, Ga(12) is bonded in a 9-coordinate geometry to two equivalent Dy(2), two equivalent Dy(4), one Pt(3), one Ga(16), one Ga(3), and two equivalent Ga(2) atoms. In the thirteenth Ga site, Ga(13) is bonded in a 9-coordinate geometry to two equivalent Dy(1), two equivalent Dy(5), one Pt(2), one Ga(5), 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 Dy(2), two equivalent Dy(6), one Pt(3), one Ga(10), one Ga(6), and two equivalent Ga(8) atoms. In the fifteenth Ga site, Ga(15) is bonded in a 9-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Ga(11), one Ga(19), one Ga(7), and two equivalent Ga(5) atoms. In the sixteenth Ga site, Ga(16) is bonded in a 9-coordinate geometry to two equivalent Dy(2), two equivalent Dy(4), one Pt(1), one Ga(12), one Ga(8), and two equivalent Ga(6) atoms. In the seventeenth Ga site, Ga(17) is bonded to two equivalent Dy(4), two equivalent Dy(5), two equivalent Pt(3), one Ga(2), one Ga(3), one Ga(5), one Ga(8), and two equivalent Ga(19) atoms to form distorted GaDy4Ga6Pt2 cuboctahedra that share corners with two equivalent Dy(1)Ga14 cuboctahedra,  an edgeedge with one Dy(2)Ga12 cuboctahedra,  a faceface with one Dy(1)Ga14 cuboctahedra, and faces with two equivalent Ga(17)Dy4Ga6Pt2 cuboctahedra. In the eighteenth Ga site, Ga(18) is bonded to two equivalent Dy(3), two equivalent Dy(6), two equivalent Pt(1), two equivalent Pt(2), one Ga(1), one Ga(4), one Ga(6), and one Ga(7) atom to form GaDy4Ga4Pt4 cuboctahedra that share  an edgeedge with one Dy(2)Ga12 cuboctahedra,  an edgeedge with one Dy(1)Ga14 cuboctahedra, and faces with two equivalent Ga(18)Dy4Ga4Pt4 cuboctahedra. In the nineteenth Ga site, Ga(19) is bonded in a 12-coordinate geometry to one Dy(4), one Dy(5), two equivalent Dy(1), one Ga(15), one Ga(9), two equivalent Ga(17), two equivalent Ga(3), and two equivalent Ga(5) atoms. is represented by the CIF file [CIF]
data_Dy6Ga19Pt3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.102
_cell_length_b   8.102
_cell_length_c   15.626
_cell_angle_alpha   77.285
_cell_angle_beta   77.285
_cell_angle_gamma   31.588
_symmetry_Int_Tables_number   1
_cell_volume   523.076
_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
  Dy  Dy0  1  0.749  0.749  0.752  1.0
  Dy  Dy1  1  0.251  0.251  0.247  1.0
  Dy  Dy2  1  0.601  0.601  0.594  1.0
  Dy  Dy3  1  0.093  0.093  0.092  1.0
  Dy  Dy4  1  0.908  0.908  0.907  1.0
  Dy  Dy5  1  0.400  0.400  0.407  1.0
  Ga  Ga6  1  0.820  0.820  0.540  1.0
  Ga  Ga7  1  0.318  0.318  0.045  1.0
  Ga  Ga8  1  0.684  0.684  0.956  1.0
  Ga  Ga9  1  0.180  0.180  0.458  1.0
  Ga  Ga10  1  0.546  0.546  0.815  1.0
  Ga  Ga11  1  0.038  0.038  0.322  1.0
  Ga  Ga12  1  0.961  0.961  0.677  1.0
  Ga  Ga13  1  0.455  0.455  0.181  1.0
  Ga  Ga14  1  0.269  0.269  0.895  1.0
  Ga  Ga15  1  0.762  0.762  0.393  1.0
  Ga  Ga16  1  0.239  0.239  0.604  1.0
  Ga  Ga17  1  0.733  0.733  0.109  1.0
  Ga  Ga18  1  0.397  0.397  0.764  1.0
  Ga  Ga19  1  0.892  0.892  0.268  1.0
  Ga  Ga20  1  0.109  0.109  0.731  1.0
  Ga  Ga21  1  0.603  0.603  0.235  1.0
  Ga  Ga22  1  0.496  0.496  0.003  1.0
  Ga  Ga23  1  0.000  0.000  0.500  1.0
  Ga  Ga24  1  0.103  0.103  0.898  1.0
  Pt  Pt25  1  0.596  0.596  0.400  1.0
  Pt  Pt26  1  0.403  0.403  0.601  1.0
  Pt  Pt27  1  0.896  0.896  0.104  1.0
[/CIF]
.
The crystal structure described by Dy6Pt3Ga19 crystallizes in the monoclinic Cm space group. There are six inequivalent Dy sites. In the first Dy site, Dy(1) 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), two equivalent Ga(19), and two equivalent Ga(9) atoms to form distorted DyGa14 cuboctahedra that share corners with two equivalent Ga(17)Dy4Ga6Pt2 cuboctahedra,  an edgeedge with one Ga(18)Dy4Ga4Pt4 cuboctahedra,  a faceface with one Ga(17)Dy4Ga6Pt2 cuboctahedra, and faces with two equivalent Dy(1)Ga14 cuboctahedra. In the second Dy site, Dy(2) 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 DyGa12 cuboctahedra that share  an edgeedge with one Ga(18)Dy4Ga4Pt4 cuboctahedra,  an edgeedge with one Ga(17)Dy4Ga6Pt2 cuboctahedra, and faces with two equivalent Dy(2)Ga12 cuboctahedra. In the third Dy site, Dy(3) is bonded in a 14-coordinate geometry to one Pt(1), one Pt(2), one Ga(1), one Ga(5), two equivalent Ga(11), two equivalent Ga(15), two equivalent Ga(18), two equivalent Ga(4), and two equivalent Ga(7) atoms. In the fourth Dy site, Dy(4) is bonded in a 14-coordinate geometry to one Pt(3), one Ga(19), one Ga(2), one Ga(6), two equivalent Ga(12), two equivalent Ga(16), two equivalent Ga(17), two equivalent Ga(3), and two equivalent Ga(8) atoms. In the fifth Dy site, Dy(5) is bonded in a 14-coordinate geometry to one Pt(3), one Ga(19), one Ga(3), one Ga(7), two equivalent Ga(13), two equivalent Ga(17), two equivalent Ga(2), two equivalent Ga(5), and two equivalent Ga(9) atoms. In the sixth Dy site, Dy(6) is bonded in a 14-coordinate geometry to one Pt(1), one Pt(2), one Ga(4), one Ga(8), two equivalent Ga(1), two equivalent Ga(10), two equivalent Ga(14), two equivalent Ga(18), and two equivalent Ga(6) atoms. There are three inequivalent Pt sites. In the first Pt site, Pt(1) is bonded in a 10-coordinate geometry to one Dy(3), one Dy(6), one Ga(10), one Ga(16), two equivalent Ga(18), two equivalent Ga(4), and two equivalent Ga(6) atoms. In the second Pt site, Pt(2) is bonded in a 10-coordinate geometry to one Dy(3), one Dy(6), one Ga(11), one Ga(13), two equivalent Ga(1), two equivalent Ga(18), and two equivalent Ga(7) atoms. In the third Pt site, Pt(3) is bonded in a 10-coordinate geometry to one Dy(4), one Dy(5), one Ga(12), one Ga(14), two equivalent Ga(17), 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 Dy(1), one Dy(3), two equivalent Dy(6), two equivalent Pt(2), one Ga(10), one Ga(18), and two equivalent Ga(11) atoms. In the second Ga site, Ga(2) is bonded in a 10-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(5), two equivalent Pt(3), one Ga(17), one Ga(9), and two equivalent Ga(12) atoms. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to one Dy(1), one Dy(5), two equivalent Dy(4), one Ga(12), one Ga(17), 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 Dy(2), one Dy(6), two equivalent Dy(3), two equivalent Pt(1), one Ga(11), one Ga(18), and two equivalent Ga(10) atoms. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Dy(1), one Dy(3), two equivalent Dy(5), one Ga(13), one Ga(17), 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 Dy(2), one Dy(4), two equivalent Dy(6), two equivalent Pt(1), one Ga(14), one Ga(18), and two equivalent Ga(16) atoms. In the seventh Ga site, Ga(7) is bonded in a 10-coordinate geometry to one Dy(1), one Dy(5), two equivalent Dy(3), two equivalent Pt(2), one Ga(15), one Ga(18), and two equivalent Ga(13) atoms. In the eighth Ga site, Ga(8) is bonded in a 10-coordinate geometry to one Dy(2), one Dy(6), two equivalent Dy(4), two equivalent Pt(3), one Ga(16), one Ga(17), and two equivalent Ga(14) atoms. In the ninth Ga site, Ga(9) is bonded in a 9-coordinate geometry to two equivalent Dy(1), two equivalent Dy(5), one Ga(13), one Ga(19), one Ga(2), and two equivalent Ga(3) atoms. In the tenth Ga site, Ga(10) is bonded in a 9-coordinate geometry to two equivalent Dy(2), two equivalent Dy(6), one Pt(1), one Ga(1), one Ga(14), and two equivalent Ga(4) atoms. In the eleventh Ga site, Ga(11) is bonded in a 1-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Pt(2), one Ga(15), one Ga(4), and two equivalent Ga(1) atoms. In the twelfth Ga site, Ga(12) is bonded in a 9-coordinate geometry to two equivalent Dy(2), two equivalent Dy(4), one Pt(3), one Ga(16), one Ga(3), and two equivalent Ga(2) atoms. In the thirteenth Ga site, Ga(13) is bonded in a 9-coordinate geometry to two equivalent Dy(1), two equivalent Dy(5), one Pt(2), one Ga(5), 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 Dy(2), two equivalent Dy(6), one Pt(3), one Ga(10), one Ga(6), and two equivalent Ga(8) atoms. In the fifteenth Ga site, Ga(15) is bonded in a 9-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Ga(11), one Ga(19), one Ga(7), and two equivalent Ga(5) atoms. In the sixteenth Ga site, Ga(16) is bonded in a 9-coordinate geometry to two equivalent Dy(2), two equivalent Dy(4), one Pt(1), one Ga(12), one Ga(8), and two equivalent Ga(6) atoms. In the seventeenth Ga site, Ga(17) is bonded to two equivalent Dy(4), two equivalent Dy(5), two equivalent Pt(3), one Ga(2), one Ga(3), one Ga(5), one Ga(8), and two equivalent Ga(19) atoms to form distorted GaDy4Ga6Pt2 cuboctahedra that share corners with two equivalent Dy(1)Ga14 cuboctahedra,  an edgeedge with one Dy(2)Ga12 cuboctahedra,  a faceface with one Dy(1)Ga14 cuboctahedra, and faces with two equivalent Ga(17)Dy4Ga6Pt2 cuboctahedra. In the eighteenth Ga site, Ga(18) is bonded to two equivalent Dy(3), two equivalent Dy(6), two equivalent Pt(1), two equivalent Pt(2), one Ga(1), one Ga(4), one Ga(6), and one Ga(7) atom to form GaDy4Ga4Pt4 cuboctahedra that share  an edgeedge with one Dy(2)Ga12 cuboctahedra,  an edgeedge with one Dy(1)Ga14 cuboctahedra, and faces with two equivalent Ga(18)Dy4Ga4Pt4 cuboctahedra. In the nineteenth Ga site, Ga(19) is bonded in a 12-coordinate geometry to one Dy(4), one Dy(5), two equivalent Dy(1), one Ga(15), one Ga(9), two equivalent Ga(17), two equivalent Ga(3), and two equivalent Ga(5) atoms. is represented by the CIF file [CIF]
data_Dy6Ga19Pt3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.102
_cell_length_b   8.102
_cell_length_c   15.626
_cell_angle_alpha   77.285
_cell_angle_beta   77.285
_cell_angle_gamma   31.588
_symmetry_Int_Tables_number   1
_cell_volume   523.076
_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
  Dy  Dy0  1  0.749  0.749  0.752  1.0
  Dy  Dy1  1  0.251  0.251  0.247  1.0
  Dy  Dy2  1  0.601  0.601  0.594  1.0
  Dy  Dy3  1  0.093  0.093  0.092  1.0
  Dy  Dy4  1  0.908  0.908  0.907  1.0
  Dy  Dy5  1  0.400  0.400  0.407  1.0
  Ga  Ga6  1  0.820  0.820  0.540  1.0
  Ga  Ga7  1  0.318  0.318  0.045  1.0
  Ga  Ga8  1  0.684  0.684  0.956  1.0
  Ga  Ga9  1  0.180  0.180  0.458  1.0
  Ga  Ga10  1  0.546  0.546  0.815  1.0
  Ga  Ga11  1  0.038  0.038  0.322  1.0
  Ga  Ga12  1  0.961  0.961  0.677  1.0
  Ga  Ga13  1  0.455  0.455  0.181  1.0
  Ga  Ga14  1  0.269  0.269  0.895  1.0
  Ga  Ga15  1  0.762  0.762  0.393  1.0
  Ga  Ga16  1  0.239  0.239  0.604  1.0
  Ga  Ga17  1  0.733  0.733  0.109  1.0
  Ga  Ga18  1  0.397  0.397  0.764  1.0
  Ga  Ga19  1  0.892  0.892  0.268  1.0
  Ga  Ga20  1  0.109  0.109  0.731  1.0
  Ga  Ga21  1  0.603  0.603  0.235  1.0
  Ga  Ga22  1  0.496  0.496  0.003  1.0
  Ga  Ga23  1  0.000  0.000  0.500  1.0
  Ga  Ga24  1  0.103  0.103  0.898  1.0
  Pt  Pt25  1  0.596  0.596  0.400  1.0
  Pt  Pt26  1  0.403  0.403  0.601  1.0
  Pt  Pt27  1  0.896  0.896  0.104  1.0
[/CIF]
.