The material described by HoFe6Ga6 crystallizes in the orthorhombic Immm space group. Ho(1) is bonded to four equivalent Fe(2), eight equivalent Fe(1), two equivalent Ga(2), two equivalent Ga(3), and four equivalent Ga(1) atoms to form distorted HoGa8Fe12 hexagonal bipyramids that share corners with eight equivalent Ho(1)Ga8Fe12 hexagonal bipyramids, faces with eight equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, faces with sixteen equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, and faces with two equivalent Ho(1)Ga8Fe12 hexagonal bipyramids. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Ho(1), two equivalent Fe(1), two equivalent Fe(2), two equivalent Ga(1), two equivalent Ga(2), and two equivalent Ga(3) atoms to form distorted FeHo2Ga6Fe4 cuboctahedra that share corners with four equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, corners with ten equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, edges with four equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, faces with four equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, faces with six equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, and faces with four equivalent Ho(1)Ga8Fe12 hexagonal bipyramids. In the second Fe site, Fe(2) is bonded to two equivalent Ho(1), four equivalent Fe(1), two equivalent Ga(1), two equivalent Ga(2), and two equivalent Ga(3) atoms to form distorted FeHo2Ga6Fe4 cuboctahedra that share corners with six equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, corners with eight equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, edges with three equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, edges with four equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra,  a faceface with one Fe(2)Ho2Ga6Fe4 cuboctahedra, faces with eight equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, and faces with four equivalent Ho(1)Ga8Fe12 hexagonal bipyramids. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 8-coordinate geometry to two equivalent Ho(1), two equivalent Fe(2), four equivalent Fe(1), and two equivalent Ga(2) atoms. In the second Ga site, Ga(2) is bonded in a 10-coordinate geometry to one Ho(1), two equivalent Fe(2), four equivalent Fe(1), one Ga(2), and two equivalent Ga(1) atoms. In the third Ga site, Ga(3) is bonded in a 8-coordinate geometry to one Ho(1), two equivalent Fe(2), four equivalent Fe(1), and one Ga(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho(GaFe)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.005
_cell_length_b   6.554
_cell_length_c   6.554
_cell_angle_alpha   81.178
_cell_angle_beta   67.543
_cell_angle_gamma   67.540
_symmetry_Int_Tables_number   1
_cell_volume   183.625
_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
  Ho  Ho0  1  0.000  0.000  0.000  1.0
  Ga  Ga1  1  0.687  0.813  0.813  1.0
  Ga  Ga2  1  0.313  0.187  0.187  1.0
  Ga  Ga3  1  0.345  0.655  0.655  1.0
  Ga  Ga4  1  0.655  0.345  0.345  1.0
  Ga  Ga5  1  0.000  0.667  0.333  1.0
  Ga  Ga6  1  1.000  0.333  0.667  1.0
  Fe  Fe7  1  0.000  0.500  0.000  1.0
  Fe  Fe8  1  0.500  0.500  0.000  1.0
  Fe  Fe9  1  0.000  0.000  0.500  1.0
  Fe  Fe10  1  0.500  0.000  0.500  1.0
  Fe  Fe11  1  0.500  0.242  0.758  1.0
  Fe  Fe12  1  0.500  0.758  0.242  1.0
[/CIF]
.
The material described by HoFe6Ga6 crystallizes in the orthorhombic Immm space group. Ho(1) is bonded to four equivalent Fe(2), eight equivalent Fe(1), two equivalent Ga(2), two equivalent Ga(3), and four equivalent Ga(1) atoms to form distorted HoGa8Fe12 hexagonal bipyramids that share corners with eight equivalent Ho(1)Ga8Fe12 hexagonal bipyramids, faces with eight equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, faces with sixteen equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, and faces with two equivalent Ho(1)Ga8Fe12 hexagonal bipyramids. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Ho(1), two equivalent Fe(1), two equivalent Fe(2), two equivalent Ga(1), two equivalent Ga(2), and two equivalent Ga(3) atoms to form distorted FeHo2Ga6Fe4 cuboctahedra that share corners with four equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, corners with ten equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, edges with four equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, faces with four equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, faces with six equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, and faces with four equivalent Ho(1)Ga8Fe12 hexagonal bipyramids. In the second Fe site, Fe(2) is bonded to two equivalent Ho(1), four equivalent Fe(1), two equivalent Ga(1), two equivalent Ga(2), and two equivalent Ga(3) atoms to form distorted FeHo2Ga6Fe4 cuboctahedra that share corners with six equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, corners with eight equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, edges with three equivalent Fe(2)Ho2Ga6Fe4 cuboctahedra, edges with four equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra,  a faceface with one Fe(2)Ho2Ga6Fe4 cuboctahedra, faces with eight equivalent Fe(1)Ho2Ga6Fe4 cuboctahedra, and faces with four equivalent Ho(1)Ga8Fe12 hexagonal bipyramids. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 8-coordinate geometry to two equivalent Ho(1), two equivalent Fe(2), four equivalent Fe(1), and two equivalent Ga(2) atoms. In the second Ga site, Ga(2) is bonded in a 10-coordinate geometry to one Ho(1), two equivalent Fe(2), four equivalent Fe(1), one Ga(2), and two equivalent Ga(1) atoms. In the third Ga site, Ga(3) is bonded in a 8-coordinate geometry to one Ho(1), two equivalent Fe(2), four equivalent Fe(1), and one Ga(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho(GaFe)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.005
_cell_length_b   6.554
_cell_length_c   6.554
_cell_angle_alpha   81.178
_cell_angle_beta   67.543
_cell_angle_gamma   67.540
_symmetry_Int_Tables_number   1
_cell_volume   183.625
_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
  Ho  Ho0  1  0.000  0.000  0.000  1.0
  Ga  Ga1  1  0.687  0.813  0.813  1.0
  Ga  Ga2  1  0.313  0.187  0.187  1.0
  Ga  Ga3  1  0.345  0.655  0.655  1.0
  Ga  Ga4  1  0.655  0.345  0.345  1.0
  Ga  Ga5  1  0.000  0.667  0.333  1.0
  Ga  Ga6  1  1.000  0.333  0.667  1.0
  Fe  Fe7  1  0.000  0.500  0.000  1.0
  Fe  Fe8  1  0.500  0.500  0.000  1.0
  Fe  Fe9  1  0.000  0.000  0.500  1.0
  Fe  Fe10  1  0.500  0.000  0.500  1.0
  Fe  Fe11  1  0.500  0.242  0.758  1.0
  Fe  Fe12  1  0.500  0.758  0.242  1.0
[/CIF]
.