The material described by Pr4CeO10 is Fluorite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), three equivalent O(1), and three equivalent O(5) atoms. In the second Pr site, Pr(2) is bonded in a body-centered cubic geometry to one O(5), three equivalent O(3), and four equivalent O(2) atoms. Ce(1) is bonded in a body-centered cubic geometry to two equivalent O(1) and six equivalent O(4) atoms. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Pr(1) and one Ce(1) atom to form OCePr3 tetrahedra that share corners with three equivalent O(4)Ce3Pr tetrahedra, corners with three equivalent O(3)Pr4 tetrahedra, corners with three equivalent O(5)Pr4 tetrahedra, corners with seven equivalent O(1)CePr3 tetrahedra, edges with three equivalent O(4)Ce3Pr tetrahedra, and edges with three equivalent O(5)Pr4 tetrahedra. In the second O site, O(2) is bonded to four equivalent Pr(2) atoms to form a mixture of corner and edge-sharing OPr4 tetrahedra. In the third O site, O(3) is bonded to one Pr(1) and three equivalent Pr(2) atoms to form OPr4 tetrahedra that share  a cornercorner with one O(4)Ce3Pr tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with six equivalent O(2)Pr4 tetrahedra, corners with six equivalent O(3)Pr4 tetrahedra, edges with three equivalent O(2)Pr4 tetrahedra, and edges with three equivalent O(5)Pr4 tetrahedra. In the fourth O site, O(4) is bonded to one Pr(1) and three equivalent Ce(1) atoms to form OCe3Pr tetrahedra that share  a cornercorner with one O(3)Pr4 tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with three equivalent O(5)Pr4 tetrahedra, corners with nine equivalent O(4)Ce3Pr tetrahedra, edges with three equivalent O(4)Ce3Pr tetrahedra, and edges with three equivalent O(1)CePr3 tetrahedra. In the fifth O site, O(5) is bonded to one Pr(2) and three equivalent Pr(1) atoms to form OPr4 tetrahedra that share corners with three equivalent O(4)Ce3Pr tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with four equivalent O(2)Pr4 tetrahedra, corners with six equivalent O(5)Pr4 tetrahedra, edges with three equivalent O(1)CePr3 tetrahedra, and edges with three equivalent O(3)Pr4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CePr4O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   16.483
_cell_length_b   16.483
_cell_length_c   16.483
_cell_angle_alpha   14.011
_cell_angle_beta   14.011
_cell_angle_gamma   14.011
_symmetry_Int_Tables_number   1
_cell_volume   228.456
_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
  Ce  Ce0  1  0.000  0.000  0.000  1.0
  Pr  Pr1  1  0.602  0.602  0.602  1.0
  Pr  Pr2  1  0.201  0.201  0.201  1.0
  Pr  Pr3  1  0.799  0.799  0.799  1.0
  Pr  Pr4  1  0.398  0.398  0.398  1.0
  O  O5  1  0.047  0.047  0.047  1.0
  O  O6  1  0.850  0.850  0.850  1.0
  O  O7  1  0.450  0.450  0.450  1.0
  O  O8  1  0.653  0.653  0.653  1.0
  O  O9  1  0.251  0.251  0.251  1.0
  O  O10  1  0.347  0.347  0.347  1.0
  O  O11  1  0.150  0.150  0.150  1.0
  O  O12  1  0.749  0.749  0.749  1.0
  O  O13  1  0.953  0.953  0.953  1.0
  O  O14  1  0.550  0.550  0.550  1.0
[/CIF]
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The material described by Pr4CeO10 is Fluorite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), three equivalent O(1), and three equivalent O(5) atoms. In the second Pr site, Pr(2) is bonded in a body-centered cubic geometry to one O(5), three equivalent O(3), and four equivalent O(2) atoms. Ce(1) is bonded in a body-centered cubic geometry to two equivalent O(1) and six equivalent O(4) atoms. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Pr(1) and one Ce(1) atom to form OCePr3 tetrahedra that share corners with three equivalent O(4)Ce3Pr tetrahedra, corners with three equivalent O(3)Pr4 tetrahedra, corners with three equivalent O(5)Pr4 tetrahedra, corners with seven equivalent O(1)CePr3 tetrahedra, edges with three equivalent O(4)Ce3Pr tetrahedra, and edges with three equivalent O(5)Pr4 tetrahedra. In the second O site, O(2) is bonded to four equivalent Pr(2) atoms to form a mixture of corner and edge-sharing OPr4 tetrahedra. In the third O site, O(3) is bonded to one Pr(1) and three equivalent Pr(2) atoms to form OPr4 tetrahedra that share  a cornercorner with one O(4)Ce3Pr tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with six equivalent O(2)Pr4 tetrahedra, corners with six equivalent O(3)Pr4 tetrahedra, edges with three equivalent O(2)Pr4 tetrahedra, and edges with three equivalent O(5)Pr4 tetrahedra. In the fourth O site, O(4) is bonded to one Pr(1) and three equivalent Ce(1) atoms to form OCe3Pr tetrahedra that share  a cornercorner with one O(3)Pr4 tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with three equivalent O(5)Pr4 tetrahedra, corners with nine equivalent O(4)Ce3Pr tetrahedra, edges with three equivalent O(4)Ce3Pr tetrahedra, and edges with three equivalent O(1)CePr3 tetrahedra. In the fifth O site, O(5) is bonded to one Pr(2) and three equivalent Pr(1) atoms to form OPr4 tetrahedra that share corners with three equivalent O(4)Ce3Pr tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with four equivalent O(2)Pr4 tetrahedra, corners with six equivalent O(5)Pr4 tetrahedra, edges with three equivalent O(1)CePr3 tetrahedra, and edges with three equivalent O(3)Pr4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CePr4O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   16.483
_cell_length_b   16.483
_cell_length_c   16.483
_cell_angle_alpha   14.011
_cell_angle_beta   14.011
_cell_angle_gamma   14.011
_symmetry_Int_Tables_number   1
_cell_volume   228.456
_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
  Ce  Ce0  1  0.000  0.000  0.000  1.0
  Pr  Pr1  1  0.602  0.602  0.602  1.0
  Pr  Pr2  1  0.201  0.201  0.201  1.0
  Pr  Pr3  1  0.799  0.799  0.799  1.0
  Pr  Pr4  1  0.398  0.398  0.398  1.0
  O  O5  1  0.047  0.047  0.047  1.0
  O  O6  1  0.850  0.850  0.850  1.0
  O  O7  1  0.450  0.450  0.450  1.0
  O  O8  1  0.653  0.653  0.653  1.0
  O  O9  1  0.251  0.251  0.251  1.0
  O  O10  1  0.347  0.347  0.347  1.0
  O  O11  1  0.150  0.150  0.150  1.0
  O  O12  1  0.749  0.749  0.749  1.0
  O  O13  1  0.953  0.953  0.953  1.0
  O  O14  1  0.550  0.550  0.550  1.0
[/CIF]
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