The material described by PrBi3(Ru2O7)2 crystallizes in the trigonal R-3m space group. Pr(1) is bonded to two equivalent O(1) and six equivalent O(3) atoms to form distorted PrO8 hexagonal bipyramids that share edges with six equivalent Bi(1)O8 hexagonal bipyramids and edges with six equivalent Ru(2)O6 octahedra. There are two inequivalent Ru sites. In the first Ru site, Ru(1) is bonded to six equivalent O(2) atoms to form RuO6 octahedra that share corners with six equivalent Ru(2)O6 octahedra and edges with six equivalent Bi(1)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. In the second Ru site, Ru(2) is bonded to two equivalent O(2) and four equivalent O(3) atoms to form RuO6 octahedra that share corners with two equivalent Ru(1)O6 octahedra, corners with four equivalent Ru(2)O6 octahedra, edges with two equivalent Pr(1)O8 hexagonal bipyramids, and edges with four equivalent Bi(1)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles range from 47-48°. Bi(1) is bonded to two equivalent O(1), two equivalent O(3), and four equivalent O(2) atoms to form distorted BiO8 hexagonal bipyramids that share edges with two equivalent Pr(1)O8 hexagonal bipyramids, edges with four equivalent Bi(1)O8 hexagonal bipyramids, edges with two equivalent Ru(1)O6 octahedra, and edges with four equivalent Ru(2)O6 octahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Pr(1) and three equivalent Bi(1) atoms to form OPrBi3 tetrahedra that share corners with four equivalent O(1)PrBi3 tetrahedra, corners with six equivalent O(2)Bi2Ru2 tetrahedra, corners with six equivalent O(3)PrBiRu2 tetrahedra, edges with three equivalent O(2)Bi2Ru2 tetrahedra, and edges with three equivalent O(3)PrBiRu2 tetrahedra. In the second O site, O(2) is bonded to one Ru(1), one Ru(2), and two equivalent Bi(1) atoms to form distorted OBi2Ru2 tetrahedra that share corners with two equivalent O(1)PrBi3 tetrahedra, corners with four equivalent O(3)PrBiRu2 tetrahedra, corners with eight equivalent O(2)Bi2Ru2 tetrahedra,  an edgeedge with one O(1)PrBi3 tetrahedra, edges with two equivalent O(2)Bi2Ru2 tetrahedra, and edges with two equivalent O(3)PrBiRu2 tetrahedra. In the third O site, O(3) is bonded to one Pr(1), two equivalent Ru(2), and one Bi(1) atom to form distorted OPrBiRu2 tetrahedra that share corners with two equivalent O(1)PrBi3 tetrahedra, corners with four equivalent O(2)Bi2Ru2 tetrahedra, corners with eight equivalent O(3)PrBiRu2 tetrahedra,  an edgeedge with one O(1)PrBi3 tetrahedra, edges with two equivalent O(2)Bi2Ru2 tetrahedra, and edges with two equivalent O(3)PrBiRu2 tetrahedra. is represented by the CIF card [CIF]
data_PrBi3(Ru2O7)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.391
_cell_length_b   7.391
_cell_length_c   7.391
_cell_angle_alpha   59.584
_cell_angle_beta   59.584
_cell_angle_gamma   59.584
_symmetry_Int_Tables_number   1
_cell_volume   282.833
_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
  Pr  Pr0  1  0.500  0.500  0.500  1.0
  Bi  Bi1  1  0.500  0.000  0.500  1.0
  Bi  Bi2  1  0.000  0.500  0.500  1.0
  Bi  Bi3  1  0.500  0.500  0.000  1.0
  Ru  Ru4  1  0.000  0.000  0.000  1.0
  Ru  Ru5  1  0.000  0.500  0.000  1.0
  Ru  Ru6  1  0.500  0.000  0.000  1.0
  Ru  Ru7  1  0.000  0.000  0.500  1.0
  O  O8  1  0.626  0.626  0.626  1.0
  O  O9  1  0.374  0.374  0.374  1.0
  O  O10  1  0.922  0.922  0.327  1.0
  O  O11  1  0.327  0.922  0.922  1.0
  O  O12  1  0.922  0.327  0.922  1.0
  O  O13  1  0.328  0.328  0.926  1.0
  O  O14  1  0.926  0.328  0.328  1.0
  O  O15  1  0.328  0.926  0.328  1.0
  O  O16  1  0.078  0.078  0.673  1.0
  O  O17  1  0.673  0.078  0.078  1.0
  O  O18  1  0.078  0.673  0.078  1.0
  O  O19  1  0.672  0.672  0.074  1.0
  O  O20  1  0.074  0.672  0.672  1.0
  O  O21  1  0.672  0.074  0.672  1.0
[/CIF]
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The material described by PrBi3(Ru2O7)2 crystallizes in the trigonal R-3m space group. Pr(1) is bonded to two equivalent O(1) and six equivalent O(3) atoms to form distorted PrO8 hexagonal bipyramids that share edges with six equivalent Bi(1)O8 hexagonal bipyramids and edges with six equivalent Ru(2)O6 octahedra. There are two inequivalent Ru sites. In the first Ru site, Ru(1) is bonded to six equivalent O(2) atoms to form RuO6 octahedra that share corners with six equivalent Ru(2)O6 octahedra and edges with six equivalent Bi(1)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. In the second Ru site, Ru(2) is bonded to two equivalent O(2) and four equivalent O(3) atoms to form RuO6 octahedra that share corners with two equivalent Ru(1)O6 octahedra, corners with four equivalent Ru(2)O6 octahedra, edges with two equivalent Pr(1)O8 hexagonal bipyramids, and edges with four equivalent Bi(1)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles range from 47-48°. Bi(1) is bonded to two equivalent O(1), two equivalent O(3), and four equivalent O(2) atoms to form distorted BiO8 hexagonal bipyramids that share edges with two equivalent Pr(1)O8 hexagonal bipyramids, edges with four equivalent Bi(1)O8 hexagonal bipyramids, edges with two equivalent Ru(1)O6 octahedra, and edges with four equivalent Ru(2)O6 octahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Pr(1) and three equivalent Bi(1) atoms to form OPrBi3 tetrahedra that share corners with four equivalent O(1)PrBi3 tetrahedra, corners with six equivalent O(2)Bi2Ru2 tetrahedra, corners with six equivalent O(3)PrBiRu2 tetrahedra, edges with three equivalent O(2)Bi2Ru2 tetrahedra, and edges with three equivalent O(3)PrBiRu2 tetrahedra. In the second O site, O(2) is bonded to one Ru(1), one Ru(2), and two equivalent Bi(1) atoms to form distorted OBi2Ru2 tetrahedra that share corners with two equivalent O(1)PrBi3 tetrahedra, corners with four equivalent O(3)PrBiRu2 tetrahedra, corners with eight equivalent O(2)Bi2Ru2 tetrahedra,  an edgeedge with one O(1)PrBi3 tetrahedra, edges with two equivalent O(2)Bi2Ru2 tetrahedra, and edges with two equivalent O(3)PrBiRu2 tetrahedra. In the third O site, O(3) is bonded to one Pr(1), two equivalent Ru(2), and one Bi(1) atom to form distorted OPrBiRu2 tetrahedra that share corners with two equivalent O(1)PrBi3 tetrahedra, corners with four equivalent O(2)Bi2Ru2 tetrahedra, corners with eight equivalent O(3)PrBiRu2 tetrahedra,  an edgeedge with one O(1)PrBi3 tetrahedra, edges with two equivalent O(2)Bi2Ru2 tetrahedra, and edges with two equivalent O(3)PrBiRu2 tetrahedra. is represented by the CIF card [CIF]
data_PrBi3(Ru2O7)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.391
_cell_length_b   7.391
_cell_length_c   7.391
_cell_angle_alpha   59.584
_cell_angle_beta   59.584
_cell_angle_gamma   59.584
_symmetry_Int_Tables_number   1
_cell_volume   282.833
_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
  Pr  Pr0  1  0.500  0.500  0.500  1.0
  Bi  Bi1  1  0.500  0.000  0.500  1.0
  Bi  Bi2  1  0.000  0.500  0.500  1.0
  Bi  Bi3  1  0.500  0.500  0.000  1.0
  Ru  Ru4  1  0.000  0.000  0.000  1.0
  Ru  Ru5  1  0.000  0.500  0.000  1.0
  Ru  Ru6  1  0.500  0.000  0.000  1.0
  Ru  Ru7  1  0.000  0.000  0.500  1.0
  O  O8  1  0.626  0.626  0.626  1.0
  O  O9  1  0.374  0.374  0.374  1.0
  O  O10  1  0.922  0.922  0.327  1.0
  O  O11  1  0.327  0.922  0.922  1.0
  O  O12  1  0.922  0.327  0.922  1.0
  O  O13  1  0.328  0.328  0.926  1.0
  O  O14  1  0.926  0.328  0.328  1.0
  O  O15  1  0.328  0.926  0.328  1.0
  O  O16  1  0.078  0.078  0.673  1.0
  O  O17  1  0.673  0.078  0.078  1.0
  O  O18  1  0.078  0.673  0.078  1.0
  O  O19  1  0.672  0.672  0.074  1.0
  O  O20  1  0.074  0.672  0.672  1.0
  O  O21  1  0.672  0.074  0.672  1.0
[/CIF]
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