The structure described by Ho8CoGa3 crystallizes in the hexagonal P6_3mc space group. There are four inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one Co(1) and four equivalent Ga(1) atoms to form distorted HoGa4Co trigonal pyramids that share corners with two equivalent Ho(4)Ga6 octahedra, corners with three equivalent Ho(2)Ga3Co tetrahedra, corners with six equivalent Ho(1)Ga4Co trigonal pyramids,  an edgeedge with one Ho(2)Ga3Co tetrahedra, edges with four equivalent Ho(1)Ga4Co trigonal pyramids, and faces with two equivalent Ho(4)Ga6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. In the second Ho site, Ho(2) is bonded to one Co(1) and three equivalent Ga(1) atoms to form distorted HoGa3Co tetrahedra that share corners with six equivalent Ho(4)Ga6 octahedra, corners with nine equivalent Ho(1)Ga4Co trigonal pyramids, and edges with three equivalent Ho(1)Ga4Co trigonal pyramids. The corner-sharing octahedral tilt angles range from 16-47°. In the third Ho site, Ho(3) is bonded in a 3-coordinate geometry to one Co(1) and four equivalent Ga(1) atoms. In the fourth Ho site, Ho(4) is bonded to six equivalent Ga(1) atoms to form distorted HoGa6 octahedra that share corners with six equivalent Ho(2)Ga3Co tetrahedra, corners with six equivalent Ho(1)Ga4Co trigonal pyramids, faces with two equivalent Ho(4)Ga6 octahedra, and faces with six equivalent Ho(1)Ga4Co trigonal pyramids. Co(1) is bonded in a 7-coordinate geometry to one Ho(2), three equivalent Ho(1), and three equivalent Ho(3) atoms. Ga(1) is bonded in a 11-coordinate geometry to one Ho(2), two equivalent Ho(4), four equivalent Ho(1), and four equivalent Ho(3) atoms. is represented by the CIF file [CIF]
data_Ho8Ga3Co
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.977
_cell_length_b   9.977
_cell_length_c   6.842
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   589.729
_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  0.173  0.827  0.508  1.0
  Ho  Ho1  1  0.654  0.827  0.508  1.0
  Ho  Ho2  1  0.173  0.346  0.508  1.0
  Ho  Ho3  1  0.827  0.173  0.008  1.0
  Ho  Ho4  1  0.346  0.173  0.008  1.0
  Ho  Ho5  1  0.827  0.654  0.008  1.0
  Ho  Ho6  1  0.333  0.667  0.829  1.0
  Ho  Ho7  1  0.667  0.333  0.329  1.0
  Ho  Ho8  1  0.464  0.536  0.208  1.0
  Ho  Ho9  1  0.072  0.536  0.208  1.0
  Ho  Ho10  1  0.464  0.928  0.208  1.0
  Ho  Ho11  1  0.536  0.464  0.708  1.0
  Ho  Ho12  1  0.928  0.464  0.708  1.0
  Ho  Ho13  1  0.536  0.072  0.708  1.0
  Ho  Ho14  1  0.000  0.000  0.229  1.0
  Ho  Ho15  1  0.000  0.000  0.729  1.0
  Ga  Ga16  1  0.164  0.836  0.962  1.0
  Ga  Ga17  1  0.673  0.836  0.962  1.0
  Ga  Ga18  1  0.164  0.327  0.962  1.0
  Ga  Ga19  1  0.836  0.164  0.462  1.0
  Ga  Ga20  1  0.327  0.164  0.462  1.0
  Ga  Ga21  1  0.836  0.673  0.462  1.0
  Co  Co22  1  0.333  0.667  0.443  1.0
  Co  Co23  1  0.667  0.333  0.943  1.0
[/CIF]
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The structure described by Ho8CoGa3 crystallizes in the hexagonal P6_3mc space group. There are four inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one Co(1) and four equivalent Ga(1) atoms to form distorted HoGa4Co trigonal pyramids that share corners with two equivalent Ho(4)Ga6 octahedra, corners with three equivalent Ho(2)Ga3Co tetrahedra, corners with six equivalent Ho(1)Ga4Co trigonal pyramids,  an edgeedge with one Ho(2)Ga3Co tetrahedra, edges with four equivalent Ho(1)Ga4Co trigonal pyramids, and faces with two equivalent Ho(4)Ga6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. In the second Ho site, Ho(2) is bonded to one Co(1) and three equivalent Ga(1) atoms to form distorted HoGa3Co tetrahedra that share corners with six equivalent Ho(4)Ga6 octahedra, corners with nine equivalent Ho(1)Ga4Co trigonal pyramids, and edges with three equivalent Ho(1)Ga4Co trigonal pyramids. The corner-sharing octahedral tilt angles range from 16-47°. In the third Ho site, Ho(3) is bonded in a 3-coordinate geometry to one Co(1) and four equivalent Ga(1) atoms. In the fourth Ho site, Ho(4) is bonded to six equivalent Ga(1) atoms to form distorted HoGa6 octahedra that share corners with six equivalent Ho(2)Ga3Co tetrahedra, corners with six equivalent Ho(1)Ga4Co trigonal pyramids, faces with two equivalent Ho(4)Ga6 octahedra, and faces with six equivalent Ho(1)Ga4Co trigonal pyramids. Co(1) is bonded in a 7-coordinate geometry to one Ho(2), three equivalent Ho(1), and three equivalent Ho(3) atoms. Ga(1) is bonded in a 11-coordinate geometry to one Ho(2), two equivalent Ho(4), four equivalent Ho(1), and four equivalent Ho(3) atoms. is represented by the CIF file [CIF]
data_Ho8Ga3Co
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.977
_cell_length_b   9.977
_cell_length_c   6.842
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   589.729
_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  0.173  0.827  0.508  1.0
  Ho  Ho1  1  0.654  0.827  0.508  1.0
  Ho  Ho2  1  0.173  0.346  0.508  1.0
  Ho  Ho3  1  0.827  0.173  0.008  1.0
  Ho  Ho4  1  0.346  0.173  0.008  1.0
  Ho  Ho5  1  0.827  0.654  0.008  1.0
  Ho  Ho6  1  0.333  0.667  0.829  1.0
  Ho  Ho7  1  0.667  0.333  0.329  1.0
  Ho  Ho8  1  0.464  0.536  0.208  1.0
  Ho  Ho9  1  0.072  0.536  0.208  1.0
  Ho  Ho10  1  0.464  0.928  0.208  1.0
  Ho  Ho11  1  0.536  0.464  0.708  1.0
  Ho  Ho12  1  0.928  0.464  0.708  1.0
  Ho  Ho13  1  0.536  0.072  0.708  1.0
  Ho  Ho14  1  0.000  0.000  0.229  1.0
  Ho  Ho15  1  0.000  0.000  0.729  1.0
  Ga  Ga16  1  0.164  0.836  0.962  1.0
  Ga  Ga17  1  0.673  0.836  0.962  1.0
  Ga  Ga18  1  0.164  0.327  0.962  1.0
  Ga  Ga19  1  0.836  0.164  0.462  1.0
  Ga  Ga20  1  0.327  0.164  0.462  1.0
  Ga  Ga21  1  0.836  0.673  0.462  1.0
  Co  Co22  1  0.333  0.667  0.443  1.0
  Co  Co23  1  0.667  0.333  0.943  1.0
[/CIF]
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