The compound described by Th5La2O13 crystallizes in the trigonal R3m space group. There are five inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to one O(2), one O(4), three equivalent O(3), and three equivalent O(5) atoms. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to one O(5), one O(6), three equivalent O(4), and three equivalent O(7) atoms. In the third Th site, Th(3) is bonded in a body-centered cubic geometry to one O(7), one O(9), three equivalent O(6), and three equivalent O(8) atoms. In the fourth Th site, Th(4) is bonded in a body-centered cubic geometry to one O(13), one O(8), three equivalent O(10), and three equivalent O(9) atoms. In the fifth Th site, Th(5) is bonded in a body-centered cubic geometry to one O(10), one O(12), three equivalent O(11), and three equivalent O(13) atoms. There are two inequivalent La sites. In the first La site, La(1) is bonded to one O(1), one O(11), and three equivalent O(12) atoms to form distorted corner-sharing LaO5 trigonal bipyramids. In the second La site, La(2) is bonded in a 7-coordinate geometry to one O(3), three equivalent O(1), and three equivalent O(2) atoms. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded to one La(1) and three equivalent La(2) atoms to form distorted OLa4 tetrahedra that share  a cornercorner with one O(11)LaTh3 tetrahedra, corners with three equivalent O(12)La3Th tetrahedra, corners with three equivalent O(2)La3Th tetrahedra, corners with three equivalent O(3)LaTh3 tetrahedra, corners with six equivalent O(1)La4 tetrahedra, and edges with three equivalent O(2)La3Th tetrahedra. In the second O site, O(2) is bonded to one Th(1) and three equivalent La(2) atoms to form OLa3Th tetrahedra that share  a cornercorner with one O(4)Th4 tetrahedra, corners with three equivalent O(1)La4 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with six equivalent O(2)La3Th tetrahedra, edges with three equivalent O(1)La4 tetrahedra, and edges with three equivalent O(3)LaTh3 tetrahedra. In the third O site, O(3) is bonded to three equivalent Th(1) and one La(2) atom to form OLaTh3 tetrahedra that share corners with three equivalent O(1)La4 tetrahedra, corners with three equivalent O(4)Th4 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with six equivalent O(3)LaTh3 tetrahedra, edges with three equivalent O(2)La3Th tetrahedra, and edges with three equivalent O(5)Th4 tetrahedra. In the fourth O site, O(4) is bonded to one Th(1) and three equivalent Th(2) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(2)La3Th tetrahedra, corners with three equivalent O(3)LaTh3 tetrahedra, corners with three equivalent O(6)Th4 tetrahedra, corners with three equivalent O(7)Th4 tetrahedra, corners with six equivalent O(4)Th4 tetrahedra, edges with three equivalent O(5)Th4 tetrahedra, and edges with three equivalent O(7)Th4 tetrahedra. In the fifth O site, O(5) is bonded to one Th(2) and three equivalent Th(1) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(6)Th4 tetrahedra, corners with three equivalent O(2)La3Th tetrahedra, corners with three equivalent O(3)LaTh3 tetrahedra, corners with three equivalent O(7)Th4 tetrahedra, corners with six equivalent O(5)Th4 tetrahedra, edges with three equivalent O(3)LaTh3 tetrahedra, and edges with three equivalent O(4)Th4 tetrahedra. In the sixth O site, O(6) is bonded to one Th(2) and three equivalent Th(3) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the seventh O site, O(7) is bonded to one Th(3) and three equivalent Th(2) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the eighth O site, O(8) is bonded to one Th(4) and three equivalent Th(3) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the ninth O site, O(9) is bonded to one Th(3) and three equivalent Th(4) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the tenth O site, O(10) is bonded to one Th(5) and three equivalent Th(4) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(12)La3Th tetrahedra, corners with three equivalent O(11)LaTh3 tetrahedra, corners with three equivalent O(8)Th4 tetrahedra, corners with three equivalent O(9)Th4 tetrahedra, corners with six equivalent O(10)Th4 tetrahedra, edges with three equivalent O(13)Th4 tetrahedra, and edges with three equivalent O(9)Th4 tetrahedra. In the eleventh O site, O(11) is bonded to three equivalent Th(5) and one La(1) atom to form OLaTh3 tetrahedra that share  a cornercorner with one O(1)La4 tetrahedra, corners with three equivalent O(10)Th4 tetrahedra, corners with three equivalent O(13)Th4 tetrahedra, corners with six equivalent O(11)LaTh3 tetrahedra, edges with three equivalent O(12)La3Th tetrahedra, and edges with three equivalent O(13)Th4 tetrahedra. In the twelfth O site, O(12) is bonded to one Th(5) and three equivalent La(1) atoms to form distorted OLa3Th tetrahedra that share  a cornercorner with one O(10)Th4 tetrahedra, corners with three equivalent O(1)La4 tetrahedra, corners with three equivalent O(13)Th4 tetrahedra, corners with six equivalent O(12)La3Th tetrahedra, and edges with three equivalent O(11)LaTh3 tetrahedra. In the thirteenth O site, O(13) is bonded to one Th(4) and three equivalent Th(5) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(8)Th4 tetrahedra, corners with three equivalent O(12)La3Th tetrahedra, corners with three equivalent O(11)LaTh3 tetrahedra, corners with three equivalent O(9)Th4 tetrahedra, corners with six equivalent O(13)Th4 tetrahedra, edges with three equivalent O(11)LaTh3 tetrahedra, and edges with three equivalent O(10)Th4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_La2Th5O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   23.094
_cell_length_b   23.094
_cell_length_c   23.094
_cell_angle_alpha   9.882
_cell_angle_beta   9.882
_cell_angle_gamma   9.882
_symmetry_Int_Tables_number   1
_cell_volume   314.951
_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
  La  La0  1  0.001  0.001  0.001  1.0
  La  La1  1  0.283  0.283  0.283  1.0
  Th  Th2  1  0.571  0.571  0.571  1.0
  Th  Th3  1  0.858  0.858  0.858  1.0
  Th  Th4  1  0.143  0.143  0.143  1.0
  Th  Th5  1  0.429  0.429  0.429  1.0
  Th  Th6  1  0.715  0.715  0.715  1.0
  O  O7  1  0.969  0.969  0.969  1.0
  O  O8  1  0.606  0.606  0.606  1.0
  O  O9  1  0.249  0.249  0.249  1.0
  O  O10  1  0.535  0.535  0.535  1.0
  O  O11  1  0.892  0.892  0.892  1.0
  O  O12  1  0.821  0.821  0.821  1.0
  O  O13  1  0.178  0.178  0.178  1.0
  O  O14  1  0.464  0.464  0.464  1.0
  O  O15  1  0.107  0.107  0.107  1.0
  O  O16  1  0.750  0.750  0.750  1.0
  O  O17  1  0.037  0.037  0.037  1.0
  O  O18  1  0.676  0.676  0.676  1.0
  O  O19  1  0.393  0.393  0.393  1.0
[/CIF]
.
The compound described by Th5La2O13 crystallizes in the trigonal R3m space group. There are five inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to one O(2), one O(4), three equivalent O(3), and three equivalent O(5) atoms. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to one O(5), one O(6), three equivalent O(4), and three equivalent O(7) atoms. In the third Th site, Th(3) is bonded in a body-centered cubic geometry to one O(7), one O(9), three equivalent O(6), and three equivalent O(8) atoms. In the fourth Th site, Th(4) is bonded in a body-centered cubic geometry to one O(13), one O(8), three equivalent O(10), and three equivalent O(9) atoms. In the fifth Th site, Th(5) is bonded in a body-centered cubic geometry to one O(10), one O(12), three equivalent O(11), and three equivalent O(13) atoms. There are two inequivalent La sites. In the first La site, La(1) is bonded to one O(1), one O(11), and three equivalent O(12) atoms to form distorted corner-sharing LaO5 trigonal bipyramids. In the second La site, La(2) is bonded in a 7-coordinate geometry to one O(3), three equivalent O(1), and three equivalent O(2) atoms. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded to one La(1) and three equivalent La(2) atoms to form distorted OLa4 tetrahedra that share  a cornercorner with one O(11)LaTh3 tetrahedra, corners with three equivalent O(12)La3Th tetrahedra, corners with three equivalent O(2)La3Th tetrahedra, corners with three equivalent O(3)LaTh3 tetrahedra, corners with six equivalent O(1)La4 tetrahedra, and edges with three equivalent O(2)La3Th tetrahedra. In the second O site, O(2) is bonded to one Th(1) and three equivalent La(2) atoms to form OLa3Th tetrahedra that share  a cornercorner with one O(4)Th4 tetrahedra, corners with three equivalent O(1)La4 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with six equivalent O(2)La3Th tetrahedra, edges with three equivalent O(1)La4 tetrahedra, and edges with three equivalent O(3)LaTh3 tetrahedra. In the third O site, O(3) is bonded to three equivalent Th(1) and one La(2) atom to form OLaTh3 tetrahedra that share corners with three equivalent O(1)La4 tetrahedra, corners with three equivalent O(4)Th4 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with six equivalent O(3)LaTh3 tetrahedra, edges with three equivalent O(2)La3Th tetrahedra, and edges with three equivalent O(5)Th4 tetrahedra. In the fourth O site, O(4) is bonded to one Th(1) and three equivalent Th(2) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(2)La3Th tetrahedra, corners with three equivalent O(3)LaTh3 tetrahedra, corners with three equivalent O(6)Th4 tetrahedra, corners with three equivalent O(7)Th4 tetrahedra, corners with six equivalent O(4)Th4 tetrahedra, edges with three equivalent O(5)Th4 tetrahedra, and edges with three equivalent O(7)Th4 tetrahedra. In the fifth O site, O(5) is bonded to one Th(2) and three equivalent Th(1) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(6)Th4 tetrahedra, corners with three equivalent O(2)La3Th tetrahedra, corners with three equivalent O(3)LaTh3 tetrahedra, corners with three equivalent O(7)Th4 tetrahedra, corners with six equivalent O(5)Th4 tetrahedra, edges with three equivalent O(3)LaTh3 tetrahedra, and edges with three equivalent O(4)Th4 tetrahedra. In the sixth O site, O(6) is bonded to one Th(2) and three equivalent Th(3) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the seventh O site, O(7) is bonded to one Th(3) and three equivalent Th(2) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the eighth O site, O(8) is bonded to one Th(4) and three equivalent Th(3) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the ninth O site, O(9) is bonded to one Th(3) and three equivalent Th(4) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the tenth O site, O(10) is bonded to one Th(5) and three equivalent Th(4) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(12)La3Th tetrahedra, corners with three equivalent O(11)LaTh3 tetrahedra, corners with three equivalent O(8)Th4 tetrahedra, corners with three equivalent O(9)Th4 tetrahedra, corners with six equivalent O(10)Th4 tetrahedra, edges with three equivalent O(13)Th4 tetrahedra, and edges with three equivalent O(9)Th4 tetrahedra. In the eleventh O site, O(11) is bonded to three equivalent Th(5) and one La(1) atom to form OLaTh3 tetrahedra that share  a cornercorner with one O(1)La4 tetrahedra, corners with three equivalent O(10)Th4 tetrahedra, corners with three equivalent O(13)Th4 tetrahedra, corners with six equivalent O(11)LaTh3 tetrahedra, edges with three equivalent O(12)La3Th tetrahedra, and edges with three equivalent O(13)Th4 tetrahedra. In the twelfth O site, O(12) is bonded to one Th(5) and three equivalent La(1) atoms to form distorted OLa3Th tetrahedra that share  a cornercorner with one O(10)Th4 tetrahedra, corners with three equivalent O(1)La4 tetrahedra, corners with three equivalent O(13)Th4 tetrahedra, corners with six equivalent O(12)La3Th tetrahedra, and edges with three equivalent O(11)LaTh3 tetrahedra. In the thirteenth O site, O(13) is bonded to one Th(4) and three equivalent Th(5) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(8)Th4 tetrahedra, corners with three equivalent O(12)La3Th tetrahedra, corners with three equivalent O(11)LaTh3 tetrahedra, corners with three equivalent O(9)Th4 tetrahedra, corners with six equivalent O(13)Th4 tetrahedra, edges with three equivalent O(11)LaTh3 tetrahedra, and edges with three equivalent O(10)Th4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_La2Th5O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   23.094
_cell_length_b   23.094
_cell_length_c   23.094
_cell_angle_alpha   9.882
_cell_angle_beta   9.882
_cell_angle_gamma   9.882
_symmetry_Int_Tables_number   1
_cell_volume   314.951
_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
  La  La0  1  0.001  0.001  0.001  1.0
  La  La1  1  0.283  0.283  0.283  1.0
  Th  Th2  1  0.571  0.571  0.571  1.0
  Th  Th3  1  0.858  0.858  0.858  1.0
  Th  Th4  1  0.143  0.143  0.143  1.0
  Th  Th5  1  0.429  0.429  0.429  1.0
  Th  Th6  1  0.715  0.715  0.715  1.0
  O  O7  1  0.969  0.969  0.969  1.0
  O  O8  1  0.606  0.606  0.606  1.0
  O  O9  1  0.249  0.249  0.249  1.0
  O  O10  1  0.535  0.535  0.535  1.0
  O  O11  1  0.892  0.892  0.892  1.0
  O  O12  1  0.821  0.821  0.821  1.0
  O  O13  1  0.178  0.178  0.178  1.0
  O  O14  1  0.464  0.464  0.464  1.0
  O  O15  1  0.107  0.107  0.107  1.0
  O  O16  1  0.750  0.750  0.750  1.0
  O  O17  1  0.037  0.037  0.037  1.0
  O  O18  1  0.676  0.676  0.676  1.0
  O  O19  1  0.393  0.393  0.393  1.0
[/CIF]
.