The structure described by PrAlGe crystallizes in the tetragonal I4_1md space group. There are three inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to six Al(1,1) and six Ge(1,1) atoms to form a mixture of edge and face-sharing PrAl6Ge6 cuboctahedra. In the second Pr site, Pr(1) is bonded to six Al(1,1) and six equivalent Ge(1) atoms to form a mixture of edge and face-sharing PrAl6Ge6 cuboctahedra. In the third Pr site, Pr(1) is bonded to six Al(1,1) and six equivalent Ge(1) atoms to form a mixture of edge and face-sharing PrAl6Ge6 cuboctahedra. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three Ge(1,1) atoms. In the second Al site, Al(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three equivalent Ge(1) atoms. In the third Al site, Al(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three equivalent Ge(1) atoms. In the fourth Al site, Al(1) is bonded in a distorted trigonal planar geometry to six equivalent Pr(1) and three Ge(1,1) atoms. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three Al(1,1) atoms. In the second Ge site, Ge(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three Al(1,1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_PrAlGe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.301
_cell_length_b   4.301
_cell_length_c   7.949
_cell_angle_alpha   105.696
_cell_angle_beta   105.696
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   135.857
_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
  Pr  Pr0  1  0.333  0.833  0.667  1.0
  Pr  Pr1  1  0.583  0.583  0.167  1.0
  Al  Al2  1  0.917  0.417  0.834  1.0
  Al  Al3  1  0.167  0.167  0.334  1.0
  Ge  Ge4  1  0.001  0.001  0.002  1.0
  Ge  Ge5  1  0.751  0.251  0.502  1.0
[/CIF]
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The structure described by PrAlGe crystallizes in the tetragonal I4_1md space group. There are three inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to six Al(1,1) and six Ge(1,1) atoms to form a mixture of edge and face-sharing PrAl6Ge6 cuboctahedra. In the second Pr site, Pr(1) is bonded to six Al(1,1) and six equivalent Ge(1) atoms to form a mixture of edge and face-sharing PrAl6Ge6 cuboctahedra. In the third Pr site, Pr(1) is bonded to six Al(1,1) and six equivalent Ge(1) atoms to form a mixture of edge and face-sharing PrAl6Ge6 cuboctahedra. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three Ge(1,1) atoms. In the second Al site, Al(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three equivalent Ge(1) atoms. In the third Al site, Al(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three equivalent Ge(1) atoms. In the fourth Al site, Al(1) is bonded in a distorted trigonal planar geometry to six equivalent Pr(1) and three Ge(1,1) atoms. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three Al(1,1) atoms. In the second Ge site, Ge(1) is bonded in a distorted trigonal planar geometry to six Pr(1,1) and three Al(1,1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_PrAlGe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.301
_cell_length_b   4.301
_cell_length_c   7.949
_cell_angle_alpha   105.696
_cell_angle_beta   105.696
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   135.857
_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
  Pr  Pr0  1  0.333  0.833  0.667  1.0
  Pr  Pr1  1  0.583  0.583  0.167  1.0
  Al  Al2  1  0.917  0.417  0.834  1.0
  Al  Al3  1  0.167  0.167  0.334  1.0
  Ge  Ge4  1  0.001  0.001  0.002  1.0
  Ge  Ge5  1  0.751  0.251  0.502  1.0
[/CIF]
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