The material structure described by Ho4Ir13Ge9 crystallizes in the orthorhombic Pmmn space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 16-coordinate geometry to two equivalent Ir(5), two equivalent Ir(8), six equivalent Ir(1), two equivalent Ge(3), and four equivalent Ge(1) atoms. In the second Ho site, Ho(2) is bonded in a 16-coordinate geometry to one Ir(1), one Ir(3), one Ir(4), one Ir(6), two equivalent Ir(5), two equivalent Ir(7), two equivalent Ir(8), two equivalent Ge(1), two equivalent Ge(5), and two equivalent Ge(6) atoms. In the third Ho site, Ho(3) is bonded in a 18-coordinate geometry to two equivalent Ir(3), two equivalent Ir(4), two equivalent Ir(7), six equivalent Ir(2), two equivalent Ge(2), and four equivalent Ge(4) atoms. There are eight inequivalent Ir sites. In the first Ir site, Ir(4) is bonded to two equivalent Ho(2), two equivalent Ho(3), two equivalent Ge(4), and two equivalent Ge(5) atoms to form a mixture of distorted corner and edge-sharing IrHo4Ge4 tetrahedra. In the second Ir site, Ir(5) is bonded in a 9-coordinate geometry to two equivalent Ho(1), four equivalent Ho(2), one Ge(5), and two equivalent Ge(1) atoms. In the third Ir site, Ir(6) is bonded in a 5-coordinate geometry to two equivalent Ho(2), one Ge(3), and four equivalent Ge(6) atoms. In the fourth Ir site, Ir(7) is bonded in a 6-coordinate geometry to one Ho(3), two equivalent Ho(2), one Ge(5), one Ge(6), and two equivalent Ge(4) atoms. In the fifth Ir site, Ir(8) is bonded in a 6-coordinate geometry to one Ho(1), two equivalent Ho(2), one Ge(1), one Ge(6), and two equivalent Ge(3) atoms. In the sixth Ir site, Ir(1) is bonded to one Ho(2), three equivalent Ho(1), one Ge(3), and three equivalent Ge(1) atoms to form a mixture of distorted face, corner, and edge-sharing IrHo4Ge4 tetrahedra. In the seventh Ir site, Ir(2) is bonded in a 6-coordinate geometry to three equivalent Ho(3), one Ge(2), and three equivalent Ge(4) atoms. In the eighth Ir site, Ir(3) is bonded in a 5-coordinate geometry to one Ho(2), one Ho(3), one Ge(4), two equivalent Ge(2), and two equivalent Ge(6) atoms. There are six inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Ho(1), two equivalent Ho(2), one Ir(5), one Ir(8), and three equivalent Ir(1) atoms. In the second Ge site, Ge(2) is bonded in a 8-coordinate geometry to two equivalent Ho(3), two equivalent Ir(2), and four equivalent Ir(3) atoms. In the third Ge site, Ge(3) is bonded in a 9-coordinate geometry to two equivalent Ho(1), one Ir(6), two equivalent Ir(1), and four equivalent Ir(8) atoms. In the fourth Ge site, Ge(4) is bonded in a 9-coordinate geometry to two equivalent Ho(3), one Ir(3), one Ir(4), two equivalent Ir(7), and three equivalent Ir(2) atoms. In the fifth Ge site, Ge(5) is bonded in a 9-coordinate geometry to four equivalent Ho(2), one Ir(5), two equivalent Ir(4), and two equivalent Ir(7) atoms. In the sixth Ge site, Ge(6) is bonded in a 8-coordinate geometry to two equivalent Ho(2), one Ir(7), one Ir(8), two equivalent Ir(3), and two equivalent Ir(6) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho4Ge9Ir13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.975
_cell_length_b   11.217
_cell_length_c   19.357
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   863.046
_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  0.500  0.500  0.023  1.0
  Ho  Ho1  1  0.000  0.000  0.977  1.0
  Ho  Ho2  1  0.000  0.191  0.792  1.0
  Ho  Ho3  1  0.500  0.309  0.208  1.0
  Ho  Ho4  1  0.500  0.691  0.208  1.0
  Ho  Ho5  1  0.000  0.809  0.792  1.0
  Ho  Ho6  1  0.000  0.500  0.481  1.0
  Ho  Ho7  1  0.500  0.000  0.519  1.0
  Ge  Ge8  1  0.500  0.187  0.919  1.0
  Ge  Ge9  1  0.000  0.000  0.399  1.0
  Ge  Ge10  1  0.500  0.500  0.601  1.0
  Ge  Ge11  1  0.500  0.000  0.100  1.0
  Ge  Ge12  1  0.000  0.500  0.900  1.0
  Ge  Ge13  1  0.000  0.820  0.585  1.0
  Ge  Ge14  1  0.500  0.680  0.415  1.0
  Ge  Ge15  1  0.500  0.320  0.415  1.0
  Ge  Ge16  1  0.000  0.313  0.081  1.0
  Ge  Ge17  1  0.000  0.687  0.081  1.0
  Ge  Ge18  1  0.500  0.813  0.919  1.0
  Ge  Ge19  1  0.000  0.500  0.266  1.0
  Ge  Ge20  1  0.000  0.180  0.585  1.0
  Ge  Ge21  1  0.500  0.000  0.734  1.0
  Ge  Ge22  1  0.500  0.370  0.731  1.0
  Ge  Ge23  1  0.500  0.630  0.731  1.0
  Ge  Ge24  1  0.000  0.870  0.269  1.0
  Ge  Ge25  1  0.000  0.130  0.269  1.0
  Ir  Ir26  1  0.500  0.200  0.046  1.0
  Ir  Ir27  1  0.500  0.690  0.540  1.0
  Ir  Ir28  1  0.500  0.310  0.540  1.0
  Ir  Ir29  1  0.000  0.190  0.460  1.0
  Ir  Ir30  1  0.500  0.873  0.355  1.0
  Ir  Ir31  1  0.000  0.627  0.645  1.0
  Ir  Ir32  1  0.000  0.373  0.645  1.0
  Ir  Ir33  1  0.500  0.127  0.355  1.0
  Ir  Ir34  1  0.000  0.300  0.954  1.0
  Ir  Ir35  1  0.000  0.700  0.954  1.0
  Ir  Ir36  1  0.500  0.800  0.046  1.0
  Ir  Ir37  1  0.500  0.500  0.342  1.0
  Ir  Ir38  1  0.000  0.000  0.658  1.0
  Ir  Ir39  1  0.000  0.500  0.141  1.0
  Ir  Ir40  1  0.500  0.000  0.859  1.0
  Ir  Ir41  1  0.000  0.500  0.773  1.0
  Ir  Ir42  1  0.500  0.000  0.227  1.0
  Ir  Ir43  1  0.500  0.183  0.665  1.0
  Ir  Ir44  1  0.000  0.317  0.335  1.0
  Ir  Ir45  1  0.000  0.683  0.335  1.0
  Ir  Ir46  1  0.500  0.817  0.665  1.0
  Ir  Ir47  1  0.000  0.124  0.142  1.0
  Ir  Ir48  1  0.500  0.376  0.858  1.0
  Ir  Ir49  1  0.500  0.624  0.858  1.0
  Ir  Ir50  1  0.000  0.876  0.142  1.0
  Ir  Ir51  1  0.000  0.810  0.460  1.0
[/CIF]
.
The material structure described by Ho4Ir13Ge9 crystallizes in the orthorhombic Pmmn space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 16-coordinate geometry to two equivalent Ir(5), two equivalent Ir(8), six equivalent Ir(1), two equivalent Ge(3), and four equivalent Ge(1) atoms. In the second Ho site, Ho(2) is bonded in a 16-coordinate geometry to one Ir(1), one Ir(3), one Ir(4), one Ir(6), two equivalent Ir(5), two equivalent Ir(7), two equivalent Ir(8), two equivalent Ge(1), two equivalent Ge(5), and two equivalent Ge(6) atoms. In the third Ho site, Ho(3) is bonded in a 18-coordinate geometry to two equivalent Ir(3), two equivalent Ir(4), two equivalent Ir(7), six equivalent Ir(2), two equivalent Ge(2), and four equivalent Ge(4) atoms. There are eight inequivalent Ir sites. In the first Ir site, Ir(4) is bonded to two equivalent Ho(2), two equivalent Ho(3), two equivalent Ge(4), and two equivalent Ge(5) atoms to form a mixture of distorted corner and edge-sharing IrHo4Ge4 tetrahedra. In the second Ir site, Ir(5) is bonded in a 9-coordinate geometry to two equivalent Ho(1), four equivalent Ho(2), one Ge(5), and two equivalent Ge(1) atoms. In the third Ir site, Ir(6) is bonded in a 5-coordinate geometry to two equivalent Ho(2), one Ge(3), and four equivalent Ge(6) atoms. In the fourth Ir site, Ir(7) is bonded in a 6-coordinate geometry to one Ho(3), two equivalent Ho(2), one Ge(5), one Ge(6), and two equivalent Ge(4) atoms. In the fifth Ir site, Ir(8) is bonded in a 6-coordinate geometry to one Ho(1), two equivalent Ho(2), one Ge(1), one Ge(6), and two equivalent Ge(3) atoms. In the sixth Ir site, Ir(1) is bonded to one Ho(2), three equivalent Ho(1), one Ge(3), and three equivalent Ge(1) atoms to form a mixture of distorted face, corner, and edge-sharing IrHo4Ge4 tetrahedra. In the seventh Ir site, Ir(2) is bonded in a 6-coordinate geometry to three equivalent Ho(3), one Ge(2), and three equivalent Ge(4) atoms. In the eighth Ir site, Ir(3) is bonded in a 5-coordinate geometry to one Ho(2), one Ho(3), one Ge(4), two equivalent Ge(2), and two equivalent Ge(6) atoms. There are six inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Ho(1), two equivalent Ho(2), one Ir(5), one Ir(8), and three equivalent Ir(1) atoms. In the second Ge site, Ge(2) is bonded in a 8-coordinate geometry to two equivalent Ho(3), two equivalent Ir(2), and four equivalent Ir(3) atoms. In the third Ge site, Ge(3) is bonded in a 9-coordinate geometry to two equivalent Ho(1), one Ir(6), two equivalent Ir(1), and four equivalent Ir(8) atoms. In the fourth Ge site, Ge(4) is bonded in a 9-coordinate geometry to two equivalent Ho(3), one Ir(3), one Ir(4), two equivalent Ir(7), and three equivalent Ir(2) atoms. In the fifth Ge site, Ge(5) is bonded in a 9-coordinate geometry to four equivalent Ho(2), one Ir(5), two equivalent Ir(4), and two equivalent Ir(7) atoms. In the sixth Ge site, Ge(6) is bonded in a 8-coordinate geometry to two equivalent Ho(2), one Ir(7), one Ir(8), two equivalent Ir(3), and two equivalent Ir(6) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho4Ge9Ir13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.975
_cell_length_b   11.217
_cell_length_c   19.357
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   863.046
_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  0.500  0.500  0.023  1.0
  Ho  Ho1  1  0.000  0.000  0.977  1.0
  Ho  Ho2  1  0.000  0.191  0.792  1.0
  Ho  Ho3  1  0.500  0.309  0.208  1.0
  Ho  Ho4  1  0.500  0.691  0.208  1.0
  Ho  Ho5  1  0.000  0.809  0.792  1.0
  Ho  Ho6  1  0.000  0.500  0.481  1.0
  Ho  Ho7  1  0.500  0.000  0.519  1.0
  Ge  Ge8  1  0.500  0.187  0.919  1.0
  Ge  Ge9  1  0.000  0.000  0.399  1.0
  Ge  Ge10  1  0.500  0.500  0.601  1.0
  Ge  Ge11  1  0.500  0.000  0.100  1.0
  Ge  Ge12  1  0.000  0.500  0.900  1.0
  Ge  Ge13  1  0.000  0.820  0.585  1.0
  Ge  Ge14  1  0.500  0.680  0.415  1.0
  Ge  Ge15  1  0.500  0.320  0.415  1.0
  Ge  Ge16  1  0.000  0.313  0.081  1.0
  Ge  Ge17  1  0.000  0.687  0.081  1.0
  Ge  Ge18  1  0.500  0.813  0.919  1.0
  Ge  Ge19  1  0.000  0.500  0.266  1.0
  Ge  Ge20  1  0.000  0.180  0.585  1.0
  Ge  Ge21  1  0.500  0.000  0.734  1.0
  Ge  Ge22  1  0.500  0.370  0.731  1.0
  Ge  Ge23  1  0.500  0.630  0.731  1.0
  Ge  Ge24  1  0.000  0.870  0.269  1.0
  Ge  Ge25  1  0.000  0.130  0.269  1.0
  Ir  Ir26  1  0.500  0.200  0.046  1.0
  Ir  Ir27  1  0.500  0.690  0.540  1.0
  Ir  Ir28  1  0.500  0.310  0.540  1.0
  Ir  Ir29  1  0.000  0.190  0.460  1.0
  Ir  Ir30  1  0.500  0.873  0.355  1.0
  Ir  Ir31  1  0.000  0.627  0.645  1.0
  Ir  Ir32  1  0.000  0.373  0.645  1.0
  Ir  Ir33  1  0.500  0.127  0.355  1.0
  Ir  Ir34  1  0.000  0.300  0.954  1.0
  Ir  Ir35  1  0.000  0.700  0.954  1.0
  Ir  Ir36  1  0.500  0.800  0.046  1.0
  Ir  Ir37  1  0.500  0.500  0.342  1.0
  Ir  Ir38  1  0.000  0.000  0.658  1.0
  Ir  Ir39  1  0.000  0.500  0.141  1.0
  Ir  Ir40  1  0.500  0.000  0.859  1.0
  Ir  Ir41  1  0.000  0.500  0.773  1.0
  Ir  Ir42  1  0.500  0.000  0.227  1.0
  Ir  Ir43  1  0.500  0.183  0.665  1.0
  Ir  Ir44  1  0.000  0.317  0.335  1.0
  Ir  Ir45  1  0.000  0.683  0.335  1.0
  Ir  Ir46  1  0.500  0.817  0.665  1.0
  Ir  Ir47  1  0.000  0.124  0.142  1.0
  Ir  Ir48  1  0.500  0.376  0.858  1.0
  Ir  Ir49  1  0.500  0.624  0.858  1.0
  Ir  Ir50  1  0.000  0.876  0.142  1.0
  Ir  Ir51  1  0.000  0.810  0.460  1.0
[/CIF]
.