The compound described by Pr8CoGa3 crystallizes in the hexagonal P6_3mc space group. There are four inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to one Co(1) and four equivalent Ga(1) atoms to form distorted PrGa4Co trigonal pyramids that share corners with two equivalent Pr(4)Ga6 octahedra, corners with three equivalent Pr(2)Ga3Co tetrahedra, corners with six equivalent Pr(1)Ga4Co trigonal pyramids,  an edgeedge with one Pr(2)Ga3Co tetrahedra, edges with four equivalent Pr(1)Ga4Co trigonal pyramids, and faces with two equivalent Pr(4)Ga6 octahedra. The corner-sharing octahedral tilt angles range from 56-59°. In the second Pr site, Pr(2) is bonded to one Co(1) and three equivalent Ga(1) atoms to form distorted PrGa3Co tetrahedra that share corners with six equivalent Pr(4)Ga6 octahedra, corners with nine equivalent Pr(1)Ga4Co trigonal pyramids, and edges with three equivalent Pr(1)Ga4Co trigonal pyramids. The corner-sharing octahedral tilt angles range from 15-47°. In the third Pr site, Pr(3) is bonded in a 3-coordinate geometry to one Co(1) and four equivalent Ga(1) atoms. In the fourth Pr site, Pr(4) is bonded to six equivalent Ga(1) atoms to form distorted PrGa6 octahedra that share corners with six equivalent Pr(2)Ga3Co tetrahedra, corners with six equivalent Pr(1)Ga4Co trigonal pyramids, faces with two equivalent Pr(4)Ga6 octahedra, and faces with six equivalent Pr(1)Ga4Co trigonal pyramids. Co(1) is bonded in a 7-coordinate geometry to one Pr(2), three equivalent Pr(1), and three equivalent Pr(3) atoms. Ga(1) is bonded in a 11-coordinate geometry to one Pr(2), two equivalent Pr(4), four equivalent Pr(1), and four equivalent Pr(3) atoms. is represented by the CIF file [CIF]
data_Pr8Ga3Co
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.515
_cell_length_b   10.515
_cell_length_c   7.112
_cell_angle_alpha   89.999
_cell_angle_beta   90.000
_cell_angle_gamma   119.999
_symmetry_Int_Tables_number   1
_cell_volume   681.089
_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  0.171  0.829  0.992  1.0
  Pr  Pr1  1  0.341  0.170  0.492  1.0
  Pr  Pr2  1  0.830  0.659  0.492  1.0
  Pr  Pr3  1  0.171  0.341  0.992  1.0
  Pr  Pr4  1  0.659  0.829  0.992  1.0
  Pr  Pr5  1  0.830  0.170  0.492  1.0
  Pr  Pr6  1  0.333  0.667  0.671  1.0
  Pr  Pr7  1  0.667  0.333  0.171  1.0
  Pr  Pr8  1  0.463  0.537  0.290  1.0
  Pr  Pr9  1  0.925  0.463  0.790  1.0
  Pr  Pr10  1  0.537  0.075  0.790  1.0
  Pr  Pr11  1  0.463  0.925  0.290  1.0
  Pr  Pr12  1  0.075  0.537  0.290  1.0
  Pr  Pr13  1  0.537  0.463  0.790  1.0
  Pr  Pr14  1  0.000  0.000  0.276  1.0
  Pr  Pr15  1  0.000  0.000  0.776  1.0
  Ga  Ga16  1  0.164  0.836  0.537  1.0
  Ga  Ga17  1  0.329  0.164  0.037  1.0
  Ga  Ga18  1  0.836  0.671  0.037  1.0
  Ga  Ga19  1  0.164  0.329  0.537  1.0
  Ga  Ga20  1  0.671  0.836  0.537  1.0
  Ga  Ga21  1  0.836  0.164  0.037  1.0
  Co  Co22  1  0.333  0.667  0.058  1.0
  Co  Co23  1  0.667  0.333  0.558  1.0
[/CIF]
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The compound described by Pr8CoGa3 crystallizes in the hexagonal P6_3mc space group. There are four inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to one Co(1) and four equivalent Ga(1) atoms to form distorted PrGa4Co trigonal pyramids that share corners with two equivalent Pr(4)Ga6 octahedra, corners with three equivalent Pr(2)Ga3Co tetrahedra, corners with six equivalent Pr(1)Ga4Co trigonal pyramids,  an edgeedge with one Pr(2)Ga3Co tetrahedra, edges with four equivalent Pr(1)Ga4Co trigonal pyramids, and faces with two equivalent Pr(4)Ga6 octahedra. The corner-sharing octahedral tilt angles range from 56-59°. In the second Pr site, Pr(2) is bonded to one Co(1) and three equivalent Ga(1) atoms to form distorted PrGa3Co tetrahedra that share corners with six equivalent Pr(4)Ga6 octahedra, corners with nine equivalent Pr(1)Ga4Co trigonal pyramids, and edges with three equivalent Pr(1)Ga4Co trigonal pyramids. The corner-sharing octahedral tilt angles range from 15-47°. In the third Pr site, Pr(3) is bonded in a 3-coordinate geometry to one Co(1) and four equivalent Ga(1) atoms. In the fourth Pr site, Pr(4) is bonded to six equivalent Ga(1) atoms to form distorted PrGa6 octahedra that share corners with six equivalent Pr(2)Ga3Co tetrahedra, corners with six equivalent Pr(1)Ga4Co trigonal pyramids, faces with two equivalent Pr(4)Ga6 octahedra, and faces with six equivalent Pr(1)Ga4Co trigonal pyramids. Co(1) is bonded in a 7-coordinate geometry to one Pr(2), three equivalent Pr(1), and three equivalent Pr(3) atoms. Ga(1) is bonded in a 11-coordinate geometry to one Pr(2), two equivalent Pr(4), four equivalent Pr(1), and four equivalent Pr(3) atoms. is represented by the CIF file [CIF]
data_Pr8Ga3Co
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.515
_cell_length_b   10.515
_cell_length_c   7.112
_cell_angle_alpha   89.999
_cell_angle_beta   90.000
_cell_angle_gamma   119.999
_symmetry_Int_Tables_number   1
_cell_volume   681.089
_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  0.171  0.829  0.992  1.0
  Pr  Pr1  1  0.341  0.170  0.492  1.0
  Pr  Pr2  1  0.830  0.659  0.492  1.0
  Pr  Pr3  1  0.171  0.341  0.992  1.0
  Pr  Pr4  1  0.659  0.829  0.992  1.0
  Pr  Pr5  1  0.830  0.170  0.492  1.0
  Pr  Pr6  1  0.333  0.667  0.671  1.0
  Pr  Pr7  1  0.667  0.333  0.171  1.0
  Pr  Pr8  1  0.463  0.537  0.290  1.0
  Pr  Pr9  1  0.925  0.463  0.790  1.0
  Pr  Pr10  1  0.537  0.075  0.790  1.0
  Pr  Pr11  1  0.463  0.925  0.290  1.0
  Pr  Pr12  1  0.075  0.537  0.290  1.0
  Pr  Pr13  1  0.537  0.463  0.790  1.0
  Pr  Pr14  1  0.000  0.000  0.276  1.0
  Pr  Pr15  1  0.000  0.000  0.776  1.0
  Ga  Ga16  1  0.164  0.836  0.537  1.0
  Ga  Ga17  1  0.329  0.164  0.037  1.0
  Ga  Ga18  1  0.836  0.671  0.037  1.0
  Ga  Ga19  1  0.164  0.329  0.537  1.0
  Ga  Ga20  1  0.671  0.836  0.537  1.0
  Ga  Ga21  1  0.836  0.164  0.037  1.0
  Co  Co22  1  0.333  0.667  0.058  1.0
  Co  Co23  1  0.667  0.333  0.558  1.0
[/CIF]
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