The material structure described by Th3CeO8 is Fluorite-derived structured and crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(3), and four equivalent O(2) atoms. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to four equivalent O(1) and four equivalent O(2) atoms. Ce(1) is bonded in a body-centered cubic geometry to four equivalent O(2) and four equivalent O(3) atoms. There are three inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Th(1) and two equivalent Th(2) atoms to form OTh4 tetrahedra that share corners with two equivalent O(3)Ce2Th2 tetrahedra, corners with six equivalent O(1)Th4 tetrahedra, corners with eight equivalent O(2)CeTh3 tetrahedra,  an edgeedge with one O(3)Ce2Th2 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra, and edges with four equivalent O(2)CeTh3 tetrahedra. In the second O site, O(2) is bonded to one Th(2), two equivalent Th(1), and one Ce(1) atom to form OCeTh3 tetrahedra that share corners with four equivalent O(3)Ce2Th2 tetrahedra, corners with four equivalent O(1)Th4 tetrahedra, corners with eight equivalent O(2)CeTh3 tetrahedra, edges with two equivalent O(3)Ce2Th2 tetrahedra, edges with two equivalent O(2)CeTh3 tetrahedra, and edges with two equivalent O(1)Th4 tetrahedra. In the third O site, O(3) is bonded to two equivalent Th(1) and two equivalent Ce(1) atoms to form OCe2Th2 tetrahedra that share corners with two equivalent O(1)Th4 tetrahedra, corners with six equivalent O(3)Ce2Th2 tetrahedra, corners with eight equivalent O(2)CeTh3 tetrahedra,  an edgeedge with one O(3)Ce2Th2 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra, and edges with four equivalent O(2)CeTh3 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeTh3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.935
_cell_length_b   6.812
_cell_length_c   6.812
_cell_angle_alpha   70.520
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   172.123
_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  0.500  0.500  1.0
  Th  Th1  1  0.500  0.500  0.000  1.0
  Th  Th2  1  0.500  0.000  0.500  1.0
  Th  Th3  1  0.000  0.000  0.000  1.0
  O  O4  1  0.500  0.875  0.875  1.0
  O  O5  1  0.000  0.377  0.871  1.0
  O  O6  1  0.500  0.622  0.622  1.0
  O  O7  1  0.000  0.871  0.377  1.0
  O  O8  1  0.000  0.129  0.623  1.0
  O  O9  1  0.500  0.378  0.378  1.0
  O  O10  1  0.000  0.623  0.129  1.0
  O  O11  1  0.500  0.125  0.125  1.0
[/CIF]
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The material structure described by Th3CeO8 is Fluorite-derived structured and crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(3), and four equivalent O(2) atoms. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to four equivalent O(1) and four equivalent O(2) atoms. Ce(1) is bonded in a body-centered cubic geometry to four equivalent O(2) and four equivalent O(3) atoms. There are three inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Th(1) and two equivalent Th(2) atoms to form OTh4 tetrahedra that share corners with two equivalent O(3)Ce2Th2 tetrahedra, corners with six equivalent O(1)Th4 tetrahedra, corners with eight equivalent O(2)CeTh3 tetrahedra,  an edgeedge with one O(3)Ce2Th2 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra, and edges with four equivalent O(2)CeTh3 tetrahedra. In the second O site, O(2) is bonded to one Th(2), two equivalent Th(1), and one Ce(1) atom to form OCeTh3 tetrahedra that share corners with four equivalent O(3)Ce2Th2 tetrahedra, corners with four equivalent O(1)Th4 tetrahedra, corners with eight equivalent O(2)CeTh3 tetrahedra, edges with two equivalent O(3)Ce2Th2 tetrahedra, edges with two equivalent O(2)CeTh3 tetrahedra, and edges with two equivalent O(1)Th4 tetrahedra. In the third O site, O(3) is bonded to two equivalent Th(1) and two equivalent Ce(1) atoms to form OCe2Th2 tetrahedra that share corners with two equivalent O(1)Th4 tetrahedra, corners with six equivalent O(3)Ce2Th2 tetrahedra, corners with eight equivalent O(2)CeTh3 tetrahedra,  an edgeedge with one O(3)Ce2Th2 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra, and edges with four equivalent O(2)CeTh3 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeTh3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.935
_cell_length_b   6.812
_cell_length_c   6.812
_cell_angle_alpha   70.520
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   172.123
_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  0.500  0.500  1.0
  Th  Th1  1  0.500  0.500  0.000  1.0
  Th  Th2  1  0.500  0.000  0.500  1.0
  Th  Th3  1  0.000  0.000  0.000  1.0
  O  O4  1  0.500  0.875  0.875  1.0
  O  O5  1  0.000  0.377  0.871  1.0
  O  O6  1  0.500  0.622  0.622  1.0
  O  O7  1  0.000  0.871  0.377  1.0
  O  O8  1  0.000  0.129  0.623  1.0
  O  O9  1  0.500  0.378  0.378  1.0
  O  O10  1  0.000  0.623  0.129  1.0
  O  O11  1  0.500  0.125  0.125  1.0
[/CIF]
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