The material structure described by Ho3(CuGa2)2 crystallizes in the trigonal P3m1 space group. There are six inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 12-coordinate geometry to three equivalent Cu(1), three equivalent Ga(1), three equivalent Ga(3), and three equivalent Ga(6) atoms. In the second Ho site, Ho(2) is bonded in a 12-coordinate geometry to three equivalent Cu(2), three equivalent Ga(2), three equivalent Ga(4), and three equivalent Ga(7) atoms. In the third Ho site, Ho(3) is bonded in a 12-coordinate geometry to three equivalent Cu(3), three equivalent Cu(4), three equivalent Ga(5), and three equivalent Ga(8) atoms. In the fourth Ho site, Ho(4) is bonded in a 12-coordinate geometry to three equivalent Cu(3), three equivalent Cu(4), three equivalent Ga(3), and three equivalent Ga(6) atoms. In the fifth Ho site, Ho(5) is bonded in a 12-coordinate geometry to three equivalent Cu(1), three equivalent Ga(1), three equivalent Ga(4), and three equivalent Ga(7) atoms. In the sixth Ho site, Ho(6) is bonded in a 12-coordinate geometry to three equivalent Cu(2), three equivalent Ga(2), three equivalent Ga(5), and three equivalent Ga(8) atoms. There are four inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a 10-coordinate geometry to three equivalent Ho(1), three equivalent Ho(5), one Ga(6), and three equivalent Ga(1) atoms. In the second Cu site, Cu(2) is bonded in a 10-coordinate geometry to three equivalent Ho(2), three equivalent Ho(6), one Ga(7), and three equivalent Ga(2) atoms. In the third Cu site, Cu(3) is bonded in a 9-coordinate geometry to three equivalent Ho(3), three equivalent Ho(4), three equivalent Cu(4), and one Ga(8) atom. In the fourth Cu site, Cu(4) is bonded in a 9-coordinate geometry to three equivalent Ho(3), three equivalent Ho(4), three equivalent Cu(3), and one Ga(3) atom. There are eight inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to three equivalent Ho(1), three equivalent Ho(5), and three equivalent Cu(1) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to three equivalent Ho(2), three equivalent Ho(6), and three equivalent Cu(2) atoms. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to three equivalent Ho(1), three equivalent Ho(4), one Cu(4), and three equivalent Ga(6) atoms. In the fourth Ga site, Ga(4) is bonded in a 9-coordinate geometry to three equivalent Ho(2), three equivalent Ho(5), and three equivalent Ga(7) atoms. In the fifth Ga site, Ga(5) is bonded in a 9-coordinate geometry to three equivalent Ho(3), three equivalent Ho(6), and three equivalent Ga(8) atoms. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to three equivalent Ho(1), three equivalent Ho(4), one Cu(1), and three equivalent Ga(3) atoms. In the seventh Ga site, Ga(7) is bonded in a 10-coordinate geometry to three equivalent Ho(2), three equivalent Ho(5), one Cu(2), and three equivalent Ga(4) atoms. In the eighth Ga site, Ga(8) is bonded in a 10-coordinate geometry to three equivalent Ho(3), three equivalent Ho(6), one Cu(3), and three equivalent Ga(5) atoms. is represented by the CIF file [CIF]
data_Ho3(Ga2Cu)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.320
_cell_length_b   4.320
_cell_length_c   21.989
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   355.319
_cell_formula_units_Z   2
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
  Ho  Ho0  1  0.000  0.000  0.256  1.0
  Ho  Ho1  1  0.000  0.000  0.589  1.0
  Ho  Ho2  1  0.000  0.000  0.922  1.0
  Ho  Ho3  1  0.000  0.000  0.079  1.0
  Ho  Ho4  1  0.000  0.000  0.413  1.0
  Ho  Ho5  1  0.000  0.000  0.745  1.0
  Ga  Ga6  1  0.333  0.667  0.340  1.0
  Ga  Ga7  1  0.333  0.667  0.673  1.0
  Ga  Ga8  1  0.333  0.667  0.155  1.0
  Ga  Ga9  1  0.333  0.667  0.487  1.0
  Ga  Ga10  1  0.333  0.667  0.820  1.0
  Ga  Ga11  1  0.667  0.333  0.181  1.0
  Ga  Ga12  1  0.667  0.333  0.513  1.0
  Ga  Ga13  1  0.667  0.333  0.845  1.0
  Cu  Cu14  1  0.667  0.333  0.325  1.0
  Cu  Cu15  1  0.667  0.333  0.657  1.0
  Cu  Cu16  1  0.667  0.333  0.992  1.0
  Cu  Cu17  1  0.333  0.667  0.007  1.0
[/CIF]
.
The material structure described by Ho3(CuGa2)2 crystallizes in the trigonal P3m1 space group. There are six inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 12-coordinate geometry to three equivalent Cu(1), three equivalent Ga(1), three equivalent Ga(3), and three equivalent Ga(6) atoms. In the second Ho site, Ho(2) is bonded in a 12-coordinate geometry to three equivalent Cu(2), three equivalent Ga(2), three equivalent Ga(4), and three equivalent Ga(7) atoms. In the third Ho site, Ho(3) is bonded in a 12-coordinate geometry to three equivalent Cu(3), three equivalent Cu(4), three equivalent Ga(5), and three equivalent Ga(8) atoms. In the fourth Ho site, Ho(4) is bonded in a 12-coordinate geometry to three equivalent Cu(3), three equivalent Cu(4), three equivalent Ga(3), and three equivalent Ga(6) atoms. In the fifth Ho site, Ho(5) is bonded in a 12-coordinate geometry to three equivalent Cu(1), three equivalent Ga(1), three equivalent Ga(4), and three equivalent Ga(7) atoms. In the sixth Ho site, Ho(6) is bonded in a 12-coordinate geometry to three equivalent Cu(2), three equivalent Ga(2), three equivalent Ga(5), and three equivalent Ga(8) atoms. There are four inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a 10-coordinate geometry to three equivalent Ho(1), three equivalent Ho(5), one Ga(6), and three equivalent Ga(1) atoms. In the second Cu site, Cu(2) is bonded in a 10-coordinate geometry to three equivalent Ho(2), three equivalent Ho(6), one Ga(7), and three equivalent Ga(2) atoms. In the third Cu site, Cu(3) is bonded in a 9-coordinate geometry to three equivalent Ho(3), three equivalent Ho(4), three equivalent Cu(4), and one Ga(8) atom. In the fourth Cu site, Cu(4) is bonded in a 9-coordinate geometry to three equivalent Ho(3), three equivalent Ho(4), three equivalent Cu(3), and one Ga(3) atom. There are eight inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to three equivalent Ho(1), three equivalent Ho(5), and three equivalent Cu(1) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to three equivalent Ho(2), three equivalent Ho(6), and three equivalent Cu(2) atoms. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to three equivalent Ho(1), three equivalent Ho(4), one Cu(4), and three equivalent Ga(6) atoms. In the fourth Ga site, Ga(4) is bonded in a 9-coordinate geometry to three equivalent Ho(2), three equivalent Ho(5), and three equivalent Ga(7) atoms. In the fifth Ga site, Ga(5) is bonded in a 9-coordinate geometry to three equivalent Ho(3), three equivalent Ho(6), and three equivalent Ga(8) atoms. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to three equivalent Ho(1), three equivalent Ho(4), one Cu(1), and three equivalent Ga(3) atoms. In the seventh Ga site, Ga(7) is bonded in a 10-coordinate geometry to three equivalent Ho(2), three equivalent Ho(5), one Cu(2), and three equivalent Ga(4) atoms. In the eighth Ga site, Ga(8) is bonded in a 10-coordinate geometry to three equivalent Ho(3), three equivalent Ho(6), one Cu(3), and three equivalent Ga(5) atoms. is represented by the CIF file [CIF]
data_Ho3(Ga2Cu)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.320
_cell_length_b   4.320
_cell_length_c   21.989
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   355.319
_cell_formula_units_Z   2
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
  Ho  Ho0  1  0.000  0.000  0.256  1.0
  Ho  Ho1  1  0.000  0.000  0.589  1.0
  Ho  Ho2  1  0.000  0.000  0.922  1.0
  Ho  Ho3  1  0.000  0.000  0.079  1.0
  Ho  Ho4  1  0.000  0.000  0.413  1.0
  Ho  Ho5  1  0.000  0.000  0.745  1.0
  Ga  Ga6  1  0.333  0.667  0.340  1.0
  Ga  Ga7  1  0.333  0.667  0.673  1.0
  Ga  Ga8  1  0.333  0.667  0.155  1.0
  Ga  Ga9  1  0.333  0.667  0.487  1.0
  Ga  Ga10  1  0.333  0.667  0.820  1.0
  Ga  Ga11  1  0.667  0.333  0.181  1.0
  Ga  Ga12  1  0.667  0.333  0.513  1.0
  Ga  Ga13  1  0.667  0.333  0.845  1.0
  Cu  Cu14  1  0.667  0.333  0.325  1.0
  Cu  Cu15  1  0.667  0.333  0.657  1.0
  Cu  Cu16  1  0.667  0.333  0.992  1.0
  Cu  Cu17  1  0.333  0.667  0.007  1.0
[/CIF]
.