The material described by HoCo3 is Frank-Kasper $\mu$ Phase-like structured and crystallizes in the trigonal R-3m space group. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 18-coordinate geometry to six equivalent Co(2) and twelve equivalent Co(3) atoms. In the second Ho site, Ho(2) is bonded in a 12-coordinate geometry to three equivalent Co(1) and nine equivalent Co(3) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to six equivalent Ho(2) and six equivalent Co(3) atoms to form CoHo6Co6 cuboctahedra that share corners with twelve equivalent Co(3)Ho5Co7 cuboctahedra, edges with six equivalent Co(1)Ho6Co6 cuboctahedra, and faces with eighteen equivalent Co(3)Ho5Co7 cuboctahedra. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Ho(1) and six equivalent Co(3) atoms. In the third Co site, Co(3) is bonded to two equivalent Ho(1), three equivalent Ho(2), one Co(1), two equivalent Co(2), and four equivalent Co(3) atoms to form CoHo5Co7 cuboctahedra that share corners with two equivalent Co(1)Ho6Co6 cuboctahedra, corners with fifteen equivalent Co(3)Ho5Co7 cuboctahedra, edges with eight equivalent Co(3)Ho5Co7 cuboctahedra, faces with three equivalent Co(1)Ho6Co6 cuboctahedra, and faces with eleven equivalent Co(3)Ho5Co7 cuboctahedra. is represented by the CIF card [CIF]
data_HoCo3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.497
_cell_length_b   8.497
_cell_length_c   8.497
_cell_angle_alpha   34.173
_cell_angle_beta   34.173
_cell_angle_gamma   34.173
_symmetry_Int_Tables_number   1
_cell_volume   172.571
_cell_formula_units_Z   3
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
  Ho  Ho1  1  0.858  0.858  0.858  1.0
  Ho  Ho2  1  0.142  0.142  0.142  1.0
  Co  Co3  1  0.500  0.500  0.500  1.0
  Co  Co4  1  0.672  0.672  0.672  1.0
  Co  Co5  1  0.328  0.328  0.328  1.0
  Co  Co6  1  0.425  0.908  0.425  1.0
  Co  Co7  1  0.425  0.425  0.908  1.0
  Co  Co8  1  0.908  0.425  0.425  1.0
  Co  Co9  1  0.575  0.092  0.575  1.0
  Co  Co10  1  0.575  0.575  0.092  1.0
  Co  Co11  1  0.092  0.575  0.575  1.0
[/CIF]
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The material described by HoCo3 is Frank-Kasper $\mu$ Phase-like structured and crystallizes in the trigonal R-3m space group. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 18-coordinate geometry to six equivalent Co(2) and twelve equivalent Co(3) atoms. In the second Ho site, Ho(2) is bonded in a 12-coordinate geometry to three equivalent Co(1) and nine equivalent Co(3) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to six equivalent Ho(2) and six equivalent Co(3) atoms to form CoHo6Co6 cuboctahedra that share corners with twelve equivalent Co(3)Ho5Co7 cuboctahedra, edges with six equivalent Co(1)Ho6Co6 cuboctahedra, and faces with eighteen equivalent Co(3)Ho5Co7 cuboctahedra. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Ho(1) and six equivalent Co(3) atoms. In the third Co site, Co(3) is bonded to two equivalent Ho(1), three equivalent Ho(2), one Co(1), two equivalent Co(2), and four equivalent Co(3) atoms to form CoHo5Co7 cuboctahedra that share corners with two equivalent Co(1)Ho6Co6 cuboctahedra, corners with fifteen equivalent Co(3)Ho5Co7 cuboctahedra, edges with eight equivalent Co(3)Ho5Co7 cuboctahedra, faces with three equivalent Co(1)Ho6Co6 cuboctahedra, and faces with eleven equivalent Co(3)Ho5Co7 cuboctahedra. is represented by the CIF card [CIF]
data_HoCo3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.497
_cell_length_b   8.497
_cell_length_c   8.497
_cell_angle_alpha   34.173
_cell_angle_beta   34.173
_cell_angle_gamma   34.173
_symmetry_Int_Tables_number   1
_cell_volume   172.571
_cell_formula_units_Z   3
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
  Ho  Ho1  1  0.858  0.858  0.858  1.0
  Ho  Ho2  1  0.142  0.142  0.142  1.0
  Co  Co3  1  0.500  0.500  0.500  1.0
  Co  Co4  1  0.672  0.672  0.672  1.0
  Co  Co5  1  0.328  0.328  0.328  1.0
  Co  Co6  1  0.425  0.908  0.425  1.0
  Co  Co7  1  0.425  0.425  0.908  1.0
  Co  Co8  1  0.908  0.425  0.425  1.0
  Co  Co9  1  0.575  0.092  0.575  1.0
  Co  Co10  1  0.575  0.575  0.092  1.0
  Co  Co11  1  0.092  0.575  0.575  1.0
[/CIF]
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