The crystal structure described by Ho8(AlGe3)3 crystallizes in the monoclinic C2/m space group. There are four inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 8-coordinate geometry to two equivalent Al(1), one Ge(3), two equivalent Ge(4), and three equivalent Ge(1) atoms. In the second Ho site, Ho(2) is bonded in a 8-coordinate geometry to two equivalent Ge(3), three equivalent Ge(5), and four equivalent Ge(2) atoms. In the third Ho site, Ho(3) is bonded in a 8-coordinate geometry to two equivalent Al(1), one Ge(1), one Ge(5), two equivalent Ge(2), and three equivalent Ge(3) atoms. In the fourth Ho site, Ho(4) is bonded in a 8-coordinate geometry to two equivalent Al(2), two equivalent Ge(1), and four equivalent Ge(4) atoms. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded in a 4-coordinate geometry to two equivalent Ho(1), two equivalent Ho(3), two equivalent Ge(1), and two equivalent Ge(3) atoms. In the second Al site, Al(2) is bonded in a 4-coordinate geometry to four equivalent Ho(4) and four equivalent Ge(4) atoms. There are five inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to one Ho(3), two equivalent Ho(4), three equivalent Ho(1), two equivalent Al(1), and one Ge(4) atom. In the second Ge site, Ge(2) is bonded in a 9-coordinate geometry to two equivalent Ho(3), four equivalent Ho(2), one Ge(3), and two equivalent Ge(5) atoms. In the third Ge site, Ge(3) is bonded in a 9-coordinate geometry to one Ho(1), two equivalent Ho(2), three equivalent Ho(3), two equivalent Al(1), and one Ge(2) atom. In the fourth Ge site, Ge(4) is bonded in a 9-coordinate geometry to two equivalent Ho(1), four equivalent Ho(4), two equivalent Al(2), and one Ge(1) atom. In the fifth Ge site, Ge(5) is bonded to two equivalent Ho(3), six equivalent Ho(2), and four equivalent Ge(2) atoms to form a mixture of distorted edge and face-sharing GeHo8Ge4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho8(AlGe3)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.641
_cell_length_b   5.641
_cell_length_c   20.136
_cell_angle_alpha   80.495
_cell_angle_beta   80.495
_cell_angle_gamma   42.331
_symmetry_Int_Tables_number   1
_cell_volume   424.729
_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  0.465  0.465  0.678  1.0
  Ho  Ho1  1  0.709  0.709  0.929  1.0
  Ho  Ho2  1  0.966  0.966  0.179  1.0
  Ho  Ho3  1  0.215  0.215  0.428  1.0
  Ho  Ho4  1  0.785  0.785  0.572  1.0
  Ho  Ho5  1  0.034  0.034  0.821  1.0
  Ho  Ho6  1  0.291  0.291  0.071  1.0
  Ho  Ho7  1  0.535  0.535  0.322  1.0
  Al  Al8  1  0.250  0.250  0.251  1.0
  Al  Al9  1  0.500  0.500  0.500  1.0
  Al  Al10  1  0.750  0.750  0.749  1.0
  Ge  Ge11  1  0.179  0.179  0.678  1.0
  Ge  Ge12  1  0.424  0.424  0.925  1.0
  Ge  Ge13  1  0.682  0.682  0.180  1.0
  Ge  Ge14  1  0.929  0.929  0.428  1.0
  Ge  Ge15  1  0.071  0.071  0.572  1.0
  Ge  Ge16  1  0.318  0.318  0.820  1.0
  Ge  Ge17  1  0.576  0.576  0.075  1.0
  Ge  Ge18  1  0.821  0.821  0.322  1.0
  Ge  Ge19  1  0.000  0.000  0.000  1.0
[/CIF]
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The crystal structure described by Ho8(AlGe3)3 crystallizes in the monoclinic C2/m space group. There are four inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 8-coordinate geometry to two equivalent Al(1), one Ge(3), two equivalent Ge(4), and three equivalent Ge(1) atoms. In the second Ho site, Ho(2) is bonded in a 8-coordinate geometry to two equivalent Ge(3), three equivalent Ge(5), and four equivalent Ge(2) atoms. In the third Ho site, Ho(3) is bonded in a 8-coordinate geometry to two equivalent Al(1), one Ge(1), one Ge(5), two equivalent Ge(2), and three equivalent Ge(3) atoms. In the fourth Ho site, Ho(4) is bonded in a 8-coordinate geometry to two equivalent Al(2), two equivalent Ge(1), and four equivalent Ge(4) atoms. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded in a 4-coordinate geometry to two equivalent Ho(1), two equivalent Ho(3), two equivalent Ge(1), and two equivalent Ge(3) atoms. In the second Al site, Al(2) is bonded in a 4-coordinate geometry to four equivalent Ho(4) and four equivalent Ge(4) atoms. There are five inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to one Ho(3), two equivalent Ho(4), three equivalent Ho(1), two equivalent Al(1), and one Ge(4) atom. In the second Ge site, Ge(2) is bonded in a 9-coordinate geometry to two equivalent Ho(3), four equivalent Ho(2), one Ge(3), and two equivalent Ge(5) atoms. In the third Ge site, Ge(3) is bonded in a 9-coordinate geometry to one Ho(1), two equivalent Ho(2), three equivalent Ho(3), two equivalent Al(1), and one Ge(2) atom. In the fourth Ge site, Ge(4) is bonded in a 9-coordinate geometry to two equivalent Ho(1), four equivalent Ho(4), two equivalent Al(2), and one Ge(1) atom. In the fifth Ge site, Ge(5) is bonded to two equivalent Ho(3), six equivalent Ho(2), and four equivalent Ge(2) atoms to form a mixture of distorted edge and face-sharing GeHo8Ge4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho8(AlGe3)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.641
_cell_length_b   5.641
_cell_length_c   20.136
_cell_angle_alpha   80.495
_cell_angle_beta   80.495
_cell_angle_gamma   42.331
_symmetry_Int_Tables_number   1
_cell_volume   424.729
_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  0.465  0.465  0.678  1.0
  Ho  Ho1  1  0.709  0.709  0.929  1.0
  Ho  Ho2  1  0.966  0.966  0.179  1.0
  Ho  Ho3  1  0.215  0.215  0.428  1.0
  Ho  Ho4  1  0.785  0.785  0.572  1.0
  Ho  Ho5  1  0.034  0.034  0.821  1.0
  Ho  Ho6  1  0.291  0.291  0.071  1.0
  Ho  Ho7  1  0.535  0.535  0.322  1.0
  Al  Al8  1  0.250  0.250  0.251  1.0
  Al  Al9  1  0.500  0.500  0.500  1.0
  Al  Al10  1  0.750  0.750  0.749  1.0
  Ge  Ge11  1  0.179  0.179  0.678  1.0
  Ge  Ge12  1  0.424  0.424  0.925  1.0
  Ge  Ge13  1  0.682  0.682  0.180  1.0
  Ge  Ge14  1  0.929  0.929  0.428  1.0
  Ge  Ge15  1  0.071  0.071  0.572  1.0
  Ge  Ge16  1  0.318  0.318  0.820  1.0
  Ge  Ge17  1  0.576  0.576  0.075  1.0
  Ge  Ge18  1  0.821  0.821  0.322  1.0
  Ge  Ge19  1  0.000  0.000  0.000  1.0
[/CIF]
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