The structure described by Ho4FeGa12 crystallizes in the cubic Im-3m space group. Ho(1) is bonded to six equivalent Ga(1) and six equivalent Ga(2) atoms to form HoGa12 cuboctahedra that share corners with twelve equivalent Ho(1)Ga12 cuboctahedra, edges with twelve equivalent Ga(1)Ho4Ga8 cuboctahedra, faces with six equivalent Ho(1)Ga12 cuboctahedra, faces with six equivalent Ga(1)Ho4Ga8 cuboctahedra, and faces with two equivalent Fe(1)Ga6 octahedra. Fe(1) is bonded to six equivalent Ga(2) atoms to form FeGa6 octahedra that share corners with twenty-four equivalent Ga(1)Ho4Ga8 cuboctahedra and faces with eight equivalent Ho(1)Ga12 cuboctahedra. There are two inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to four equivalent Ho(1), four equivalent Ga(1), and four equivalent Ga(2) atoms to form distorted GaHo4Ga8 cuboctahedra that share corners with four equivalent Ga(1)Ho4Ga8 cuboctahedra, corners with four equivalent Fe(1)Ga6 octahedra, edges with eight equivalent Ho(1)Ga12 cuboctahedra, edges with eight equivalent Ga(1)Ho4Ga8 cuboctahedra, faces with four equivalent Ho(1)Ga12 cuboctahedra, and faces with six equivalent Ga(1)Ho4Ga8 cuboctahedra. The corner-sharing octahedral tilt angles are 50°. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to four equivalent Ho(1), one Fe(1), and four equivalent Ga(1) atoms. is represented by the CIF file [CIF]
data_Ho4Ga12Fe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.360
_cell_length_b   7.360
_cell_length_c   7.360
_cell_angle_alpha   109.471
_cell_angle_beta   109.471
_cell_angle_gamma   109.471
_symmetry_Int_Tables_number   1
_cell_volume   306.897
_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  0.500  1.0
  Ho  Ho1  1  0.000  0.500  0.000  1.0
  Ho  Ho2  1  0.500  0.000  0.000  1.0
  Ho  Ho3  1  0.500  0.500  0.500  1.0
  Ga  Ga4  1  0.750  0.250  0.500  1.0
  Ga  Ga5  1  0.750  0.500  0.250  1.0
  Ga  Ga6  1  0.500  0.250  0.750  1.0
  Ga  Ga7  1  0.250  0.500  0.750  1.0
  Ga  Ga8  1  0.250  0.750  0.500  1.0
  Ga  Ga9  1  0.500  0.750  0.250  1.0
  Ga  Ga10  1  0.711  0.711  0.000  1.0
  Ga  Ga11  1  0.289  0.000  0.289  1.0
  Ga  Ga12  1  0.000  0.289  0.289  1.0
  Ga  Ga13  1  0.289  0.289  0.000  1.0
  Ga  Ga14  1  0.711  0.000  0.711  1.0
  Ga  Ga15  1  0.000  0.711  0.711  1.0
  Fe  Fe16  1  0.000  0.000  0.000  1.0
[/CIF]
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The structure described by Ho4FeGa12 crystallizes in the cubic Im-3m space group. Ho(1) is bonded to six equivalent Ga(1) and six equivalent Ga(2) atoms to form HoGa12 cuboctahedra that share corners with twelve equivalent Ho(1)Ga12 cuboctahedra, edges with twelve equivalent Ga(1)Ho4Ga8 cuboctahedra, faces with six equivalent Ho(1)Ga12 cuboctahedra, faces with six equivalent Ga(1)Ho4Ga8 cuboctahedra, and faces with two equivalent Fe(1)Ga6 octahedra. Fe(1) is bonded to six equivalent Ga(2) atoms to form FeGa6 octahedra that share corners with twenty-four equivalent Ga(1)Ho4Ga8 cuboctahedra and faces with eight equivalent Ho(1)Ga12 cuboctahedra. There are two inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to four equivalent Ho(1), four equivalent Ga(1), and four equivalent Ga(2) atoms to form distorted GaHo4Ga8 cuboctahedra that share corners with four equivalent Ga(1)Ho4Ga8 cuboctahedra, corners with four equivalent Fe(1)Ga6 octahedra, edges with eight equivalent Ho(1)Ga12 cuboctahedra, edges with eight equivalent Ga(1)Ho4Ga8 cuboctahedra, faces with four equivalent Ho(1)Ga12 cuboctahedra, and faces with six equivalent Ga(1)Ho4Ga8 cuboctahedra. The corner-sharing octahedral tilt angles are 50°. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to four equivalent Ho(1), one Fe(1), and four equivalent Ga(1) atoms. is represented by the CIF file [CIF]
data_Ho4Ga12Fe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.360
_cell_length_b   7.360
_cell_length_c   7.360
_cell_angle_alpha   109.471
_cell_angle_beta   109.471
_cell_angle_gamma   109.471
_symmetry_Int_Tables_number   1
_cell_volume   306.897
_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  0.500  1.0
  Ho  Ho1  1  0.000  0.500  0.000  1.0
  Ho  Ho2  1  0.500  0.000  0.000  1.0
  Ho  Ho3  1  0.500  0.500  0.500  1.0
  Ga  Ga4  1  0.750  0.250  0.500  1.0
  Ga  Ga5  1  0.750  0.500  0.250  1.0
  Ga  Ga6  1  0.500  0.250  0.750  1.0
  Ga  Ga7  1  0.250  0.500  0.750  1.0
  Ga  Ga8  1  0.250  0.750  0.500  1.0
  Ga  Ga9  1  0.500  0.750  0.250  1.0
  Ga  Ga10  1  0.711  0.711  0.000  1.0
  Ga  Ga11  1  0.289  0.000  0.289  1.0
  Ga  Ga12  1  0.000  0.289  0.289  1.0
  Ga  Ga13  1  0.289  0.289  0.000  1.0
  Ga  Ga14  1  0.711  0.000  0.711  1.0
  Ga  Ga15  1  0.000  0.711  0.711  1.0
  Fe  Fe16  1  0.000  0.000  0.000  1.0
[/CIF]
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