The crystal structure described by Ho2Co12Ni5 crystallizes in the hexagonal P6_3/mmc 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(1) and twelve equivalent Co(2) atoms. In the second Ho site, Ho(2) is bonded in a 20-coordinate geometry to six equivalent Co(1), six equivalent Co(2), two equivalent Ni(1), and six equivalent Ni(2) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one Ho(1), one Ho(2), two equivalent Co(1), four equivalent Co(2), two equivalent Ni(1), and two equivalent Ni(2) atoms to form distorted CoHo2Co6Ni4 cuboctahedra that share corners with four equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, corners with eight equivalent Co(2)Ho3Co6Ni3 cuboctahedra, corners with twelve equivalent Co(1)Ho2Co6Ni4 cuboctahedra,  an edgeedge with one Co(1)Ho2Co6Ni4 cuboctahedra, edges with two equivalent Co(2)Ho3Co6Ni3 cuboctahedra, edges with two equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, faces with four equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, faces with seven equivalent Co(1)Ho2Co6Ni4 cuboctahedra, and faces with ten equivalent Co(2)Ho3Co6Ni3 cuboctahedra. In the second Co site, Co(2) is bonded to one Ho(2), two equivalent Ho(1), two equivalent Co(2), four equivalent Co(1), one Ni(1), and two equivalent Ni(2) atoms to form distorted CoHo3Co6Ni3 cuboctahedra that share corners with five equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, corners with eight equivalent Co(1)Ho2Co6Ni4 cuboctahedra, corners with ten equivalent Co(2)Ho3Co6Ni3 cuboctahedra, edges with two equivalent Co(1)Ho2Co6Ni4 cuboctahedra, edges with three equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, edges with five equivalent Co(2)Ho3Co6Ni3 cuboctahedra, faces with two equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, faces with eight equivalent Co(2)Ho3Co6Ni3 cuboctahedra, and faces with ten equivalent Co(1)Ho2Co6Ni4 cuboctahedra. There are two inequivalent Ni sites. In the first Ni site, Ni(2) is bonded to two equivalent Ho(2), four equivalent Co(1), four equivalent Co(2), and two equivalent Ni(1) atoms to form NiHo2Co8Ni2 cuboctahedra that share corners with four equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, corners with eight equivalent Co(1)Ho2Co6Ni4 cuboctahedra, corners with ten equivalent Co(2)Ho3Co6Ni3 cuboctahedra, edges with four equivalent Co(1)Ho2Co6Ni4 cuboctahedra, edges with six equivalent Co(2)Ho3Co6Ni3 cuboctahedra, faces with four equivalent Co(2)Ho3Co6Ni3 cuboctahedra, faces with six equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, and faces with eight equivalent Co(1)Ho2Co6Ni4 cuboctahedra. In the second Ni site, Ni(1) is bonded in a 14-coordinate geometry to one Ho(2), three equivalent Co(2), six equivalent Co(1), one Ni(1), and three equivalent Ni(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho2Co12Ni5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.293
_cell_length_b   8.293
_cell_length_c   8.018
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   477.623
_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  0.250  1.0
  Ho  Ho1  1  0.000  0.000  0.750  1.0
  Ho  Ho2  1  0.333  0.667  0.750  1.0
  Ho  Ho3  1  0.667  0.333  0.250  1.0
  Co  Co4  1  0.327  0.377  0.250  1.0
  Co  Co5  1  0.623  0.950  0.250  1.0
  Co  Co6  1  0.050  0.673  0.250  1.0
  Co  Co7  1  0.623  0.673  0.250  1.0
  Co  Co8  1  0.050  0.377  0.250  1.0
  Co  Co9  1  0.327  0.950  0.250  1.0
  Co  Co10  1  0.673  0.623  0.750  1.0
  Co  Co11  1  0.377  0.050  0.750  1.0
  Co  Co12  1  0.950  0.327  0.750  1.0
  Co  Co13  1  0.377  0.327  0.750  1.0
  Co  Co14  1  0.950  0.623  0.750  1.0
  Co  Co15  1  0.673  0.050  0.750  1.0
  Co  Co16  1  0.162  0.838  0.524  1.0
  Co  Co17  1  0.162  0.324  0.524  1.0
  Co  Co18  1  0.676  0.838  0.524  1.0
  Co  Co19  1  0.838  0.162  0.476  1.0
  Co  Co20  1  0.838  0.676  0.476  1.0
  Co  Co21  1  0.324  0.162  0.476  1.0
  Co  Co22  1  0.838  0.162  0.024  1.0
  Co  Co23  1  0.838  0.676  0.024  1.0
  Co  Co24  1  0.324  0.162  0.024  1.0
  Co  Co25  1  0.162  0.838  0.976  1.0
  Co  Co26  1  0.162  0.324  0.976  1.0
  Co  Co27  1  0.676  0.838  0.976  1.0
  Ni  Ni28  1  0.333  0.667  0.401  1.0
  Ni  Ni29  1  0.667  0.333  0.599  1.0
  Ni  Ni30  1  0.667  0.333  0.901  1.0
  Ni  Ni31  1  0.333  0.667  0.099  1.0
  Ni  Ni32  1  0.500  0.500  0.500  1.0
  Ni  Ni33  1  0.500  0.000  0.500  1.0
  Ni  Ni34  1  0.000  0.500  0.500  1.0
  Ni  Ni35  1  0.500  0.500  0.000  1.0
  Ni  Ni36  1  0.500  0.000  0.000  1.0
  Ni  Ni37  1  0.000  0.500  0.000  1.0
[/CIF]
.
The crystal structure described by Ho2Co12Ni5 crystallizes in the hexagonal P6_3/mmc 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(1) and twelve equivalent Co(2) atoms. In the second Ho site, Ho(2) is bonded in a 20-coordinate geometry to six equivalent Co(1), six equivalent Co(2), two equivalent Ni(1), and six equivalent Ni(2) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one Ho(1), one Ho(2), two equivalent Co(1), four equivalent Co(2), two equivalent Ni(1), and two equivalent Ni(2) atoms to form distorted CoHo2Co6Ni4 cuboctahedra that share corners with four equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, corners with eight equivalent Co(2)Ho3Co6Ni3 cuboctahedra, corners with twelve equivalent Co(1)Ho2Co6Ni4 cuboctahedra,  an edgeedge with one Co(1)Ho2Co6Ni4 cuboctahedra, edges with two equivalent Co(2)Ho3Co6Ni3 cuboctahedra, edges with two equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, faces with four equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, faces with seven equivalent Co(1)Ho2Co6Ni4 cuboctahedra, and faces with ten equivalent Co(2)Ho3Co6Ni3 cuboctahedra. In the second Co site, Co(2) is bonded to one Ho(2), two equivalent Ho(1), two equivalent Co(2), four equivalent Co(1), one Ni(1), and two equivalent Ni(2) atoms to form distorted CoHo3Co6Ni3 cuboctahedra that share corners with five equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, corners with eight equivalent Co(1)Ho2Co6Ni4 cuboctahedra, corners with ten equivalent Co(2)Ho3Co6Ni3 cuboctahedra, edges with two equivalent Co(1)Ho2Co6Ni4 cuboctahedra, edges with three equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, edges with five equivalent Co(2)Ho3Co6Ni3 cuboctahedra, faces with two equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, faces with eight equivalent Co(2)Ho3Co6Ni3 cuboctahedra, and faces with ten equivalent Co(1)Ho2Co6Ni4 cuboctahedra. There are two inequivalent Ni sites. In the first Ni site, Ni(2) is bonded to two equivalent Ho(2), four equivalent Co(1), four equivalent Co(2), and two equivalent Ni(1) atoms to form NiHo2Co8Ni2 cuboctahedra that share corners with four equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, corners with eight equivalent Co(1)Ho2Co6Ni4 cuboctahedra, corners with ten equivalent Co(2)Ho3Co6Ni3 cuboctahedra, edges with four equivalent Co(1)Ho2Co6Ni4 cuboctahedra, edges with six equivalent Co(2)Ho3Co6Ni3 cuboctahedra, faces with four equivalent Co(2)Ho3Co6Ni3 cuboctahedra, faces with six equivalent Ni(2)Ho2Co8Ni2 cuboctahedra, and faces with eight equivalent Co(1)Ho2Co6Ni4 cuboctahedra. In the second Ni site, Ni(1) is bonded in a 14-coordinate geometry to one Ho(2), three equivalent Co(2), six equivalent Co(1), one Ni(1), and three equivalent Ni(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho2Co12Ni5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.293
_cell_length_b   8.293
_cell_length_c   8.018
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   477.623
_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  0.250  1.0
  Ho  Ho1  1  0.000  0.000  0.750  1.0
  Ho  Ho2  1  0.333  0.667  0.750  1.0
  Ho  Ho3  1  0.667  0.333  0.250  1.0
  Co  Co4  1  0.327  0.377  0.250  1.0
  Co  Co5  1  0.623  0.950  0.250  1.0
  Co  Co6  1  0.050  0.673  0.250  1.0
  Co  Co7  1  0.623  0.673  0.250  1.0
  Co  Co8  1  0.050  0.377  0.250  1.0
  Co  Co9  1  0.327  0.950  0.250  1.0
  Co  Co10  1  0.673  0.623  0.750  1.0
  Co  Co11  1  0.377  0.050  0.750  1.0
  Co  Co12  1  0.950  0.327  0.750  1.0
  Co  Co13  1  0.377  0.327  0.750  1.0
  Co  Co14  1  0.950  0.623  0.750  1.0
  Co  Co15  1  0.673  0.050  0.750  1.0
  Co  Co16  1  0.162  0.838  0.524  1.0
  Co  Co17  1  0.162  0.324  0.524  1.0
  Co  Co18  1  0.676  0.838  0.524  1.0
  Co  Co19  1  0.838  0.162  0.476  1.0
  Co  Co20  1  0.838  0.676  0.476  1.0
  Co  Co21  1  0.324  0.162  0.476  1.0
  Co  Co22  1  0.838  0.162  0.024  1.0
  Co  Co23  1  0.838  0.676  0.024  1.0
  Co  Co24  1  0.324  0.162  0.024  1.0
  Co  Co25  1  0.162  0.838  0.976  1.0
  Co  Co26  1  0.162  0.324  0.976  1.0
  Co  Co27  1  0.676  0.838  0.976  1.0
  Ni  Ni28  1  0.333  0.667  0.401  1.0
  Ni  Ni29  1  0.667  0.333  0.599  1.0
  Ni  Ni30  1  0.667  0.333  0.901  1.0
  Ni  Ni31  1  0.333  0.667  0.099  1.0
  Ni  Ni32  1  0.500  0.500  0.500  1.0
  Ni  Ni33  1  0.500  0.000  0.500  1.0
  Ni  Ni34  1  0.000  0.500  0.500  1.0
  Ni  Ni35  1  0.500  0.500  0.000  1.0
  Ni  Ni36  1  0.500  0.000  0.000  1.0
  Ni  Ni37  1  0.000  0.500  0.000  1.0
[/CIF]
.