The compound described by Na(Pr2Se3)4 crystallizes in the tetragonal I-42d space group. Na(1) is bonded to four equivalent Se(1) and four equivalent Se(2) atoms to form distorted NaSe8 hexagonal bipyramids that share corners with eight equivalent Pr(1)Se8 hexagonal bipyramids, edges with four equivalent Pr(2)Se8 hexagonal bipyramids, faces with four equivalent Pr(1)Se8 hexagonal bipyramids, and faces with four equivalent Pr(3)Se8 hexagonal bipyramids. There are three inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to two equivalent Se(2), three equivalent Se(1), and three equivalent Se(3) atoms to form distorted PrSe8 hexagonal bipyramids that share corners with two equivalent Na(1)Se8 hexagonal bipyramids, corners with two equivalent Pr(1)Se8 hexagonal bipyramids, corners with two equivalent Pr(2)Se8 hexagonal bipyramids, corners with two equivalent Pr(3)Se8 hexagonal bipyramids,  an edgeedge with one Pr(3)Se8 hexagonal bipyramid, edges with three equivalent Pr(1)Se8 hexagonal bipyramids,  a faceface with one Na(1)Se8 hexagonal bipyramid, faces with two equivalent Pr(1)Se8 hexagonal bipyramids, faces with two equivalent Pr(3)Se8 hexagonal bipyramids, and faces with three equivalent Pr(2)Se8 hexagonal bipyramids. In the second Pr site, Pr(2) is bonded to two equivalent Se(1), two equivalent Se(2), and four equivalent Se(3) atoms to form distorted PrSe8 hexagonal bipyramids that share corners with four equivalent Pr(1)Se8 hexagonal bipyramids, corners with four equivalent Pr(3)Se8 hexagonal bipyramids, edges with two equivalent Na(1)Se8 hexagonal bipyramids, edges with two equivalent Pr(2)Se8 hexagonal bipyramids, faces with two equivalent Pr(3)Se8 hexagonal bipyramids, and faces with six equivalent Pr(1)Se8 hexagonal bipyramids. In the third Pr site, Pr(3) is bonded to two equivalent Se(1), two equivalent Se(3), and four equivalent Se(2) atoms to form distorted PrSe8 hexagonal bipyramids that share corners with four equivalent Pr(1)Se8 hexagonal bipyramids, corners with four equivalent Pr(2)Se8 hexagonal bipyramids, edges with two equivalent Pr(1)Se8 hexagonal bipyramids, edges with two equivalent Pr(3)Se8 hexagonal bipyramids, faces with two equivalent Na(1)Se8 hexagonal bipyramids, faces with two equivalent Pr(2)Se8 hexagonal bipyramids, and faces with four equivalent Pr(1)Se8 hexagonal bipyramids. There are three inequivalent Se sites. In the first Se site, Se(1) is bonded to one Na(1), one Pr(2), one Pr(3), and three equivalent Pr(1) atoms to form distorted SeNaPr5 octahedra that share corners with four equivalent Se(1)NaPr5 octahedra, corners with four equivalent Se(2)NaPr5 octahedra, corners with seven equivalent Se(3)Pr6 octahedra,  an edgeedge with one Se(3)Pr6 octahedra, edges with two equivalent Se(1)NaPr5 octahedra, edges with three equivalent Se(2)NaPr5 octahedra,  a faceface with one Se(1)NaPr5 octahedra, faces with two equivalent Se(2)NaPr5 octahedra, and faces with two equivalent Se(3)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 14-52°. In the second Se site, Se(2) is bonded to one Na(1), one Pr(2), two equivalent Pr(1), and two equivalent Pr(3) atoms to form distorted SeNaPr5 octahedra that share corners with four equivalent Se(1)NaPr5 octahedra, corners with five equivalent Se(3)Pr6 octahedra, corners with six equivalent Se(2)NaPr5 octahedra, edges with three equivalent Se(1)NaPr5 octahedra, edges with three equivalent Se(3)Pr6 octahedra,  a faceface with one Se(3)Pr6 octahedra, faces with two equivalent Se(1)NaPr5 octahedra, and faces with two equivalent Se(2)NaPr5 octahedra. The corner-sharing octahedral tilt angles range from 19-50°. In the third Se site, Se(3) is bonded to one Pr(3), two equivalent Pr(2), and three equivalent Pr(1) atoms to form distorted SePr6 octahedra that share corners with three equivalent Se(3)Pr6 octahedra, corners with five equivalent Se(2)NaPr5 octahedra, corners with seven equivalent Se(1)NaPr5 octahedra,  an edgeedge with one Se(1)NaPr5 octahedra, edges with two equivalent Se(3)Pr6 octahedra, edges with three equivalent Se(2)NaPr5 octahedra,  a faceface with one Se(2)NaPr5 octahedra, faces with two equivalent Se(1)NaPr5 octahedra, and faces with two equivalent Se(3)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 16-52°. is represented by the CIF card [CIF]
data_Na(Pr2Se3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   14.977
_cell_length_b   14.977
_cell_length_c   14.977
_cell_angle_alpha   144.990
_cell_angle_beta   144.990
_cell_angle_gamma   50.349
_symmetry_Int_Tables_number   1
_cell_volume   1100.329
_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
  Na  Na0  1  0.500  0.500  0.000  1.0
  Na  Na1  1  0.250  0.750  0.500  1.0
  Pr  Pr2  1  0.912  0.787  0.618  1.0
  Pr  Pr3  1  0.213  0.831  0.125  1.0
  Pr  Pr4  1  0.917  0.417  0.500  1.0
  Pr  Pr5  1  0.495  0.625  0.370  1.0
  Pr  Pr6  1  0.255  0.125  0.630  1.0
  Pr  Pr7  1  0.706  0.088  0.875  1.0
  Pr  Pr8  1  0.833  0.833  0.000  1.0
  Pr  Pr9  1  0.537  0.162  0.118  1.0
  Pr  Pr10  1  0.838  0.956  0.375  1.0
  Pr  Pr11  1  0.581  0.463  0.625  1.0
  Pr  Pr12  1  0.044  0.419  0.882  1.0
  Pr  Pr13  1  0.167  0.167  0.000  1.0
  Pr  Pr14  1  0.875  0.505  0.130  1.0
  Pr  Pr15  1  0.169  0.294  0.382  1.0
  Pr  Pr16  1  0.583  0.083  0.500  1.0
  Pr  Pr17  1  0.375  0.745  0.870  1.0
  Se  Se18  1  0.406  0.158  0.597  1.0
  Se  Se19  1  0.190  0.594  0.752  1.0
  Se  Se20  1  0.842  0.438  0.248  1.0
  Se  Se21  1  0.218  0.471  0.894  1.0
  Se  Se22  1  0.577  0.324  0.106  1.0
  Se  Se23  1  0.562  0.810  0.403  1.0
  Se  Se24  1  0.859  0.759  0.751  1.0
  Se  Se25  1  0.743  0.491  0.600  1.0
  Se  Se26  1  0.532  0.926  0.753  1.0
  Se  Se27  1  0.007  0.108  0.249  1.0
  Se  Se28  1  0.173  0.779  0.247  1.0
  Se  Se29  1  0.560  0.812  0.903  1.0
  Se  Se30  1  0.908  0.656  0.097  1.0
  Se  Se31  1  0.891  0.142  0.400  1.0
  Se  Se32  1  0.188  0.092  0.748  1.0
  Se  Se33  1  0.074  0.827  0.606  1.0
  Se  Se34  1  0.858  0.257  0.749  1.0
  Se  Se35  1  0.344  0.440  0.252  1.0
  Se  Se36  1  0.509  0.109  0.251  1.0
  Se  Se37  1  0.892  0.141  0.900  1.0
  Se  Se38  1  0.241  0.993  0.100  1.0
  Se  Se39  1  0.221  0.468  0.394  1.0
  Se  Se40  1  0.529  0.423  0.747  1.0
  Se  Se41  1  0.676  0.782  0.253  1.0
[/CIF]
.
The compound described by Na(Pr2Se3)4 crystallizes in the tetragonal I-42d space group. Na(1) is bonded to four equivalent Se(1) and four equivalent Se(2) atoms to form distorted NaSe8 hexagonal bipyramids that share corners with eight equivalent Pr(1)Se8 hexagonal bipyramids, edges with four equivalent Pr(2)Se8 hexagonal bipyramids, faces with four equivalent Pr(1)Se8 hexagonal bipyramids, and faces with four equivalent Pr(3)Se8 hexagonal bipyramids. There are three inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to two equivalent Se(2), three equivalent Se(1), and three equivalent Se(3) atoms to form distorted PrSe8 hexagonal bipyramids that share corners with two equivalent Na(1)Se8 hexagonal bipyramids, corners with two equivalent Pr(1)Se8 hexagonal bipyramids, corners with two equivalent Pr(2)Se8 hexagonal bipyramids, corners with two equivalent Pr(3)Se8 hexagonal bipyramids,  an edgeedge with one Pr(3)Se8 hexagonal bipyramid, edges with three equivalent Pr(1)Se8 hexagonal bipyramids,  a faceface with one Na(1)Se8 hexagonal bipyramid, faces with two equivalent Pr(1)Se8 hexagonal bipyramids, faces with two equivalent Pr(3)Se8 hexagonal bipyramids, and faces with three equivalent Pr(2)Se8 hexagonal bipyramids. In the second Pr site, Pr(2) is bonded to two equivalent Se(1), two equivalent Se(2), and four equivalent Se(3) atoms to form distorted PrSe8 hexagonal bipyramids that share corners with four equivalent Pr(1)Se8 hexagonal bipyramids, corners with four equivalent Pr(3)Se8 hexagonal bipyramids, edges with two equivalent Na(1)Se8 hexagonal bipyramids, edges with two equivalent Pr(2)Se8 hexagonal bipyramids, faces with two equivalent Pr(3)Se8 hexagonal bipyramids, and faces with six equivalent Pr(1)Se8 hexagonal bipyramids. In the third Pr site, Pr(3) is bonded to two equivalent Se(1), two equivalent Se(3), and four equivalent Se(2) atoms to form distorted PrSe8 hexagonal bipyramids that share corners with four equivalent Pr(1)Se8 hexagonal bipyramids, corners with four equivalent Pr(2)Se8 hexagonal bipyramids, edges with two equivalent Pr(1)Se8 hexagonal bipyramids, edges with two equivalent Pr(3)Se8 hexagonal bipyramids, faces with two equivalent Na(1)Se8 hexagonal bipyramids, faces with two equivalent Pr(2)Se8 hexagonal bipyramids, and faces with four equivalent Pr(1)Se8 hexagonal bipyramids. There are three inequivalent Se sites. In the first Se site, Se(1) is bonded to one Na(1), one Pr(2), one Pr(3), and three equivalent Pr(1) atoms to form distorted SeNaPr5 octahedra that share corners with four equivalent Se(1)NaPr5 octahedra, corners with four equivalent Se(2)NaPr5 octahedra, corners with seven equivalent Se(3)Pr6 octahedra,  an edgeedge with one Se(3)Pr6 octahedra, edges with two equivalent Se(1)NaPr5 octahedra, edges with three equivalent Se(2)NaPr5 octahedra,  a faceface with one Se(1)NaPr5 octahedra, faces with two equivalent Se(2)NaPr5 octahedra, and faces with two equivalent Se(3)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 14-52°. In the second Se site, Se(2) is bonded to one Na(1), one Pr(2), two equivalent Pr(1), and two equivalent Pr(3) atoms to form distorted SeNaPr5 octahedra that share corners with four equivalent Se(1)NaPr5 octahedra, corners with five equivalent Se(3)Pr6 octahedra, corners with six equivalent Se(2)NaPr5 octahedra, edges with three equivalent Se(1)NaPr5 octahedra, edges with three equivalent Se(3)Pr6 octahedra,  a faceface with one Se(3)Pr6 octahedra, faces with two equivalent Se(1)NaPr5 octahedra, and faces with two equivalent Se(2)NaPr5 octahedra. The corner-sharing octahedral tilt angles range from 19-50°. In the third Se site, Se(3) is bonded to one Pr(3), two equivalent Pr(2), and three equivalent Pr(1) atoms to form distorted SePr6 octahedra that share corners with three equivalent Se(3)Pr6 octahedra, corners with five equivalent Se(2)NaPr5 octahedra, corners with seven equivalent Se(1)NaPr5 octahedra,  an edgeedge with one Se(1)NaPr5 octahedra, edges with two equivalent Se(3)Pr6 octahedra, edges with three equivalent Se(2)NaPr5 octahedra,  a faceface with one Se(2)NaPr5 octahedra, faces with two equivalent Se(1)NaPr5 octahedra, and faces with two equivalent Se(3)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 16-52°. is represented by the CIF card [CIF]
data_Na(Pr2Se3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   14.977
_cell_length_b   14.977
_cell_length_c   14.977
_cell_angle_alpha   144.990
_cell_angle_beta   144.990
_cell_angle_gamma   50.349
_symmetry_Int_Tables_number   1
_cell_volume   1100.329
_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
  Na  Na0  1  0.500  0.500  0.000  1.0
  Na  Na1  1  0.250  0.750  0.500  1.0
  Pr  Pr2  1  0.912  0.787  0.618  1.0
  Pr  Pr3  1  0.213  0.831  0.125  1.0
  Pr  Pr4  1  0.917  0.417  0.500  1.0
  Pr  Pr5  1  0.495  0.625  0.370  1.0
  Pr  Pr6  1  0.255  0.125  0.630  1.0
  Pr  Pr7  1  0.706  0.088  0.875  1.0
  Pr  Pr8  1  0.833  0.833  0.000  1.0
  Pr  Pr9  1  0.537  0.162  0.118  1.0
  Pr  Pr10  1  0.838  0.956  0.375  1.0
  Pr  Pr11  1  0.581  0.463  0.625  1.0
  Pr  Pr12  1  0.044  0.419  0.882  1.0
  Pr  Pr13  1  0.167  0.167  0.000  1.0
  Pr  Pr14  1  0.875  0.505  0.130  1.0
  Pr  Pr15  1  0.169  0.294  0.382  1.0
  Pr  Pr16  1  0.583  0.083  0.500  1.0
  Pr  Pr17  1  0.375  0.745  0.870  1.0
  Se  Se18  1  0.406  0.158  0.597  1.0
  Se  Se19  1  0.190  0.594  0.752  1.0
  Se  Se20  1  0.842  0.438  0.248  1.0
  Se  Se21  1  0.218  0.471  0.894  1.0
  Se  Se22  1  0.577  0.324  0.106  1.0
  Se  Se23  1  0.562  0.810  0.403  1.0
  Se  Se24  1  0.859  0.759  0.751  1.0
  Se  Se25  1  0.743  0.491  0.600  1.0
  Se  Se26  1  0.532  0.926  0.753  1.0
  Se  Se27  1  0.007  0.108  0.249  1.0
  Se  Se28  1  0.173  0.779  0.247  1.0
  Se  Se29  1  0.560  0.812  0.903  1.0
  Se  Se30  1  0.908  0.656  0.097  1.0
  Se  Se31  1  0.891  0.142  0.400  1.0
  Se  Se32  1  0.188  0.092  0.748  1.0
  Se  Se33  1  0.074  0.827  0.606  1.0
  Se  Se34  1  0.858  0.257  0.749  1.0
  Se  Se35  1  0.344  0.440  0.252  1.0
  Se  Se36  1  0.509  0.109  0.251  1.0
  Se  Se37  1  0.892  0.141  0.900  1.0
  Se  Se38  1  0.241  0.993  0.100  1.0
  Se  Se39  1  0.221  0.468  0.394  1.0
  Se  Se40  1  0.529  0.423  0.747  1.0
  Se  Se41  1  0.676  0.782  0.253  1.0
[/CIF]
.