The material described by Ho4(Pt3Al8)3 crystallizes in the triclinic P-1 space group. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 17-coordinate geometry to one Pt(1), one Pt(3), one Pt(4), one Pt(5), two equivalent Pt(2), one Al(10), one Al(11), one Al(12), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), one Al(8), and two equivalent Al(1) atoms. In the second Ho site, Ho(2) is bonded in a 17-coordinate geometry to one Pt(1), one Pt(3), one Pt(4), one Pt(5), two equivalent Pt(2), one Al(1), one Al(10), one Al(11), one Al(12), one Al(4), one Al(5), one Al(6), one Al(8), one Al(9), and two equivalent Al(7) atoms. There are five inequivalent Pt sites. In the first Pt site, Pt(1) is bonded in a 8-coordinate geometry to one Ho(1), one Ho(2), one Al(11), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), and two equivalent Al(9) atoms. In the second Pt site, Pt(2) is bonded in a 8-coordinate geometry to two equivalent Ho(1), two equivalent Ho(2), one Al(10), one Al(12), two equivalent Al(1), two equivalent Al(7), and two equivalent Al(8) atoms. In the third Pt site, Pt(3) is bonded in a 8-coordinate geometry to one Ho(1), one Ho(2), one Al(10), one Al(2), one Al(4), one Al(5), one Al(6), one Al(9), and two equivalent Al(3) atoms. In the fourth Pt site, Pt(4) is bonded in a 8-coordinate geometry to one Ho(1), one Ho(2), one Al(12), one Al(3), one Al(4), one Al(5), one Al(6), one Al(9), and two equivalent Al(2) atoms. In the fifth Pt site, Pt(5) is bonded in a 8-coordinate geometry to two equivalent Ho(1), two equivalent Ho(2), two equivalent Al(1), two equivalent Al(11), two equivalent Al(7), and two equivalent Al(8) atoms. There are twelve inequivalent Al sites. In the first Al site, Al(1) is bonded in a 3-coordinate geometry to one Ho(2), two equivalent Ho(1), one Pt(5), and two equivalent Pt(2) atoms. In the second Al site, Al(2) is bonded to one Pt(1), one Pt(3), and two equivalent Pt(4) atoms to form distorted AlPt4 tetrahedra that share corners with three equivalent Al(3)HoPt4 tetrahedra, corners with three equivalent Al(9)HoPt4 tetrahedra,  an edgeedge with one Al(3)HoPt4 tetrahedra,  an edgeedge with one Al(9)HoPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the third Al site, Al(3) is bonded to one Ho(1), one Pt(1), one Pt(4), and two equivalent Pt(3) atoms to form distorted AlHoPt4 tetrahedra that share corners with three equivalent Al(9)HoPt4 tetrahedra, corners with three equivalent Al(2)Pt4 tetrahedra,  an edgeedge with one Al(3)HoPt4 tetrahedra,  an edgeedge with one Al(9)HoPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the fourth Al site, Al(4) is bonded in a 3-coordinate geometry to one Ho(1), one Ho(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the fifth Al site, Al(5) is bonded in a 3-coordinate geometry to one Ho(1), one Ho(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the sixth Al site, Al(6) is bonded in a 3-coordinate geometry to one Ho(1), one Ho(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the seventh Al site, Al(7) is bonded in a 3-coordinate geometry to one Ho(1), two equivalent Ho(2), one Pt(5), and two equivalent Pt(2) atoms. In the eighth Al site, Al(8) is bonded in a 3-coordinate geometry to one Ho(1), one Ho(2), one Pt(5), and two equivalent Pt(2) atoms. In the ninth Al site, Al(9) is bonded to one Ho(2), one Pt(3), one Pt(4), and two equivalent Pt(1) atoms to form distorted AlHoPt4 tetrahedra that share corners with three equivalent Al(3)HoPt4 tetrahedra, corners with three equivalent Al(2)Pt4 tetrahedra,  an edgeedge with one Al(3)HoPt4 tetrahedra,  an edgeedge with one Al(9)HoPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the tenth Al site, Al(10) is bonded in a 2-coordinate geometry to one Ho(1), one Ho(2), one Pt(2), and one Pt(3) atom. In the eleventh Al site, Al(11) is bonded in a 2-coordinate geometry to one Ho(1), one Ho(2), one Pt(1), and one Pt(5) atom. In the twelfth Al site, Al(12) is bonded in a 2-coordinate geometry to one Ho(1), one Ho(2), one Pt(2), and one Pt(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho4(Al8Pt3)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.477
_cell_length_b   7.491
_cell_length_c   13.075
_cell_angle_alpha   84.582
_cell_angle_beta   79.074
_cell_angle_gamma   59.927
_symmetry_Int_Tables_number   1
_cell_volume   622.244
_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  0.394  0.168  0.808  1.0
  Ho  Ho1  1  0.606  0.832  0.192  1.0
  Ho  Ho2  1  0.734  0.499  0.808  1.0
  Ho  Ho3  1  0.266  0.501  0.192  1.0
  Al  Al4  1  0.684  0.834  0.945  1.0
  Al  Al5  1  0.316  0.166  0.055  1.0
  Al  Al6  1  0.147  0.833  0.561  1.0
  Al  Al7  1  0.853  0.167  0.439  1.0
  Al  Al8  1  0.480  0.167  0.559  1.0
  Al  Al9  1  0.520  0.833  0.441  1.0
  Al  Al10  1  0.217  0.165  0.329  1.0
  Al  Al11  1  0.783  0.835  0.671  1.0
  Al  Al12  1  0.437  0.507  0.671  1.0
  Al  Al13  1  0.563  0.493  0.329  1.0
  Al  Al14  1  0.110  0.160  0.669  1.0
  Al  Al15  1  0.890  0.840  0.331  1.0
  Al  Al16  1  0.352  0.500  0.945  1.0
  Al  Al17  1  0.648  0.500  0.055  1.0
  Al  Al18  1  0.015  0.167  0.954  1.0
  Al  Al19  1  0.985  0.833  0.046  1.0
  Al  Al20  1  0.187  0.500  0.441  1.0
  Al  Al21  1  0.813  0.500  0.559  1.0
  Al  Al22  1  0.734  0.164  0.183  1.0
  Al  Al23  1  0.266  0.836  0.817  1.0
  Al  Al24  1  0.061  0.631  0.815  1.0
  Al  Al25  1  0.939  0.369  0.185  1.0
  Al  Al26  1  0.855  0.041  0.816  1.0
  Al  Al27  1  0.145  0.959  0.184  1.0
  Pt  Pt28  1  0.120  0.492  0.639  1.0
  Pt  Pt29  1  0.880  0.508  0.361  1.0
  Pt  Pt30  1  0.657  0.172  1.000  1.0
  Pt  Pt31  1  0.343  0.828  0.000  1.0
  Pt  Pt32  1  0.538  0.167  0.361  1.0
  Pt  Pt33  1  0.462  0.833  0.639  1.0
  Pt  Pt34  1  0.779  0.175  0.637  1.0
  Pt  Pt35  1  0.221  0.825  0.363  1.0
  Pt  Pt36  1  0.000  0.500  0.000  1.0
[/CIF]
.
The material described by Ho4(Pt3Al8)3 crystallizes in the triclinic P-1 space group. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 17-coordinate geometry to one Pt(1), one Pt(3), one Pt(4), one Pt(5), two equivalent Pt(2), one Al(10), one Al(11), one Al(12), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), one Al(8), and two equivalent Al(1) atoms. In the second Ho site, Ho(2) is bonded in a 17-coordinate geometry to one Pt(1), one Pt(3), one Pt(4), one Pt(5), two equivalent Pt(2), one Al(1), one Al(10), one Al(11), one Al(12), one Al(4), one Al(5), one Al(6), one Al(8), one Al(9), and two equivalent Al(7) atoms. There are five inequivalent Pt sites. In the first Pt site, Pt(1) is bonded in a 8-coordinate geometry to one Ho(1), one Ho(2), one Al(11), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), and two equivalent Al(9) atoms. In the second Pt site, Pt(2) is bonded in a 8-coordinate geometry to two equivalent Ho(1), two equivalent Ho(2), one Al(10), one Al(12), two equivalent Al(1), two equivalent Al(7), and two equivalent Al(8) atoms. In the third Pt site, Pt(3) is bonded in a 8-coordinate geometry to one Ho(1), one Ho(2), one Al(10), one Al(2), one Al(4), one Al(5), one Al(6), one Al(9), and two equivalent Al(3) atoms. In the fourth Pt site, Pt(4) is bonded in a 8-coordinate geometry to one Ho(1), one Ho(2), one Al(12), one Al(3), one Al(4), one Al(5), one Al(6), one Al(9), and two equivalent Al(2) atoms. In the fifth Pt site, Pt(5) is bonded in a 8-coordinate geometry to two equivalent Ho(1), two equivalent Ho(2), two equivalent Al(1), two equivalent Al(11), two equivalent Al(7), and two equivalent Al(8) atoms. There are twelve inequivalent Al sites. In the first Al site, Al(1) is bonded in a 3-coordinate geometry to one Ho(2), two equivalent Ho(1), one Pt(5), and two equivalent Pt(2) atoms. In the second Al site, Al(2) is bonded to one Pt(1), one Pt(3), and two equivalent Pt(4) atoms to form distorted AlPt4 tetrahedra that share corners with three equivalent Al(3)HoPt4 tetrahedra, corners with three equivalent Al(9)HoPt4 tetrahedra,  an edgeedge with one Al(3)HoPt4 tetrahedra,  an edgeedge with one Al(9)HoPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the third Al site, Al(3) is bonded to one Ho(1), one Pt(1), one Pt(4), and two equivalent Pt(3) atoms to form distorted AlHoPt4 tetrahedra that share corners with three equivalent Al(9)HoPt4 tetrahedra, corners with three equivalent Al(2)Pt4 tetrahedra,  an edgeedge with one Al(3)HoPt4 tetrahedra,  an edgeedge with one Al(9)HoPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the fourth Al site, Al(4) is bonded in a 3-coordinate geometry to one Ho(1), one Ho(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the fifth Al site, Al(5) is bonded in a 3-coordinate geometry to one Ho(1), one Ho(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the sixth Al site, Al(6) is bonded in a 3-coordinate geometry to one Ho(1), one Ho(2), one Pt(1), one Pt(3), and one Pt(4) atom. In the seventh Al site, Al(7) is bonded in a 3-coordinate geometry to one Ho(1), two equivalent Ho(2), one Pt(5), and two equivalent Pt(2) atoms. In the eighth Al site, Al(8) is bonded in a 3-coordinate geometry to one Ho(1), one Ho(2), one Pt(5), and two equivalent Pt(2) atoms. In the ninth Al site, Al(9) is bonded to one Ho(2), one Pt(3), one Pt(4), and two equivalent Pt(1) atoms to form distorted AlHoPt4 tetrahedra that share corners with three equivalent Al(3)HoPt4 tetrahedra, corners with three equivalent Al(2)Pt4 tetrahedra,  an edgeedge with one Al(3)HoPt4 tetrahedra,  an edgeedge with one Al(9)HoPt4 tetrahedra, and  an edgeedge with one Al(2)Pt4 tetrahedra. In the tenth Al site, Al(10) is bonded in a 2-coordinate geometry to one Ho(1), one Ho(2), one Pt(2), and one Pt(3) atom. In the eleventh Al site, Al(11) is bonded in a 2-coordinate geometry to one Ho(1), one Ho(2), one Pt(1), and one Pt(5) atom. In the twelfth Al site, Al(12) is bonded in a 2-coordinate geometry to one Ho(1), one Ho(2), one Pt(2), and one Pt(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho4(Al8Pt3)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.477
_cell_length_b   7.491
_cell_length_c   13.075
_cell_angle_alpha   84.582
_cell_angle_beta   79.074
_cell_angle_gamma   59.927
_symmetry_Int_Tables_number   1
_cell_volume   622.244
_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  0.394  0.168  0.808  1.0
  Ho  Ho1  1  0.606  0.832  0.192  1.0
  Ho  Ho2  1  0.734  0.499  0.808  1.0
  Ho  Ho3  1  0.266  0.501  0.192  1.0
  Al  Al4  1  0.684  0.834  0.945  1.0
  Al  Al5  1  0.316  0.166  0.055  1.0
  Al  Al6  1  0.147  0.833  0.561  1.0
  Al  Al7  1  0.853  0.167  0.439  1.0
  Al  Al8  1  0.480  0.167  0.559  1.0
  Al  Al9  1  0.520  0.833  0.441  1.0
  Al  Al10  1  0.217  0.165  0.329  1.0
  Al  Al11  1  0.783  0.835  0.671  1.0
  Al  Al12  1  0.437  0.507  0.671  1.0
  Al  Al13  1  0.563  0.493  0.329  1.0
  Al  Al14  1  0.110  0.160  0.669  1.0
  Al  Al15  1  0.890  0.840  0.331  1.0
  Al  Al16  1  0.352  0.500  0.945  1.0
  Al  Al17  1  0.648  0.500  0.055  1.0
  Al  Al18  1  0.015  0.167  0.954  1.0
  Al  Al19  1  0.985  0.833  0.046  1.0
  Al  Al20  1  0.187  0.500  0.441  1.0
  Al  Al21  1  0.813  0.500  0.559  1.0
  Al  Al22  1  0.734  0.164  0.183  1.0
  Al  Al23  1  0.266  0.836  0.817  1.0
  Al  Al24  1  0.061  0.631  0.815  1.0
  Al  Al25  1  0.939  0.369  0.185  1.0
  Al  Al26  1  0.855  0.041  0.816  1.0
  Al  Al27  1  0.145  0.959  0.184  1.0
  Pt  Pt28  1  0.120  0.492  0.639  1.0
  Pt  Pt29  1  0.880  0.508  0.361  1.0
  Pt  Pt30  1  0.657  0.172  1.000  1.0
  Pt  Pt31  1  0.343  0.828  0.000  1.0
  Pt  Pt32  1  0.538  0.167  0.361  1.0
  Pt  Pt33  1  0.462  0.833  0.639  1.0
  Pt  Pt34  1  0.779  0.175  0.637  1.0
  Pt  Pt35  1  0.221  0.825  0.363  1.0
  Pt  Pt36  1  0.000  0.500  0.000  1.0
[/CIF]
.