The material described by Th4Sm6O17 crystallizes in the trigonal R3m space group. There are four inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to one O(15), one O(3), three equivalent O(1), and three equivalent O(17) atoms. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to one O(1), one O(5), three equivalent O(2), and three equivalent O(3) atoms. In the third Th site, Th(3) is bonded in a body-centered cubic geometry to one O(4), one O(8), three equivalent O(6), and three equivalent O(7) atoms. In the fourth Th site, Th(4) is bonded in a body-centered cubic geometry to one O(2), one O(7), three equivalent O(4), and three equivalent O(5) atoms. There are six inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 7-coordinate geometry to one O(11), three equivalent O(10), and three equivalent O(9) atoms. In the second Sm site, Sm(2) is bonded to one O(10), one O(6), and three equivalent O(8) atoms to form corner-sharing SmO5 trigonal bipyramids. In the third Sm site, Sm(3) is bonded to one O(13), one O(9), and three equivalent O(11) atoms to form corner-sharing SmO5 trigonal bipyramids. In the fourth Sm site, Sm(4) is bonded in a 7-coordinate geometry to one O(14), three equivalent O(12), and three equivalent O(13) atoms. In the fifth Sm site, Sm(5) is bonded to one O(12), one O(16), and three equivalent O(14) atoms to form corner-sharing SmO5 trigonal bipyramids. In the sixth Sm site, Sm(6) is bonded in a 7-coordinate geometry to one O(17), three equivalent O(15), and three equivalent O(16) atoms. There are seventeen inequivalent O sites. In the first O site, O(1) is bonded to one Th(2) and three equivalent Th(1) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(5)Th4 tetrahedra, corners with three equivalent O(15)Sm3Th tetrahedra, corners with three equivalent O(17)SmTh3 tetrahedra, corners with three equivalent O(2)Th4 tetrahedra, corners with six equivalent O(1)Th4 tetrahedra, edges with three equivalent O(17)SmTh3 tetrahedra, and edges with three equivalent O(3)Th4 tetrahedra. In the second O site, O(2) is bonded to one Th(4) and three equivalent Th(2) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the third O site, O(3) is bonded to one Th(1) and three equivalent Th(2) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(15)Sm3Th tetrahedra, corners with three equivalent O(17)SmTh3 tetrahedra, corners with three equivalent O(2)Th4 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with six equivalent O(3)Th4 tetrahedra, edges with three equivalent O(1)Th4 tetrahedra, and edges with three equivalent O(2)Th4 tetrahedra. In the fourth O site, O(4) is bonded to one Th(3) and three equivalent Th(4) atoms to form OTh4 tetrahedra that share corners with three equivalent O(6)SmTh3 tetrahedra, corners with three equivalent O(2)Th4 tetrahedra, corners with three equivalent O(5)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(4) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the sixth O site, O(6) is bonded to three equivalent Th(3) and one Sm(2) atom to form OSmTh3 tetrahedra that share  a cornercorner with one O(10)Sm4 tetrahedra, corners with three equivalent O(4)Th4 tetrahedra, corners with three equivalent O(7)Th4 tetrahedra, corners with six equivalent O(6)SmTh3 tetrahedra, and edges with three equivalent O(7)Th4 tetrahedra. In the seventh O site, O(7) is bonded to one Th(4) and three equivalent Th(3) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(2)Th4 tetrahedra, corners with three equivalent O(6)SmTh3 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with six equivalent O(7)Th4 tetrahedra, edges with three equivalent O(6)SmTh3 tetrahedra, and edges with three equivalent O(4)Th4 tetrahedra. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Th(3) and three equivalent Sm(2) atoms. In the ninth O site, O(9) is bonded to one Sm(3) and three equivalent Sm(1) atoms to form a mixture of corner and edge-sharing OSm4 tetrahedra. In the tenth O site, O(10) is bonded to one Sm(2) and three equivalent Sm(1) atoms to form distorted OSm4 tetrahedra that share  a cornercorner with one O(6)SmTh3 tetrahedra, corners with three equivalent O(11)Sm4 tetrahedra, corners with three equivalent O(9)Sm4 tetrahedra, corners with six equivalent O(10)Sm4 tetrahedra, and edges with three equivalent O(9)Sm4 tetrahedra. In the eleventh O site, O(11) is bonded to one Sm(1) and three equivalent Sm(3) atoms to form a mixture of distorted corner and edge-sharing OSm4 tetrahedra. In the twelfth O site, O(12) is bonded to one Sm(5) and three equivalent Sm(4) atoms to form a mixture of corner and edge-sharing OSm4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Sm(3) and three equivalent Sm(4) atoms to form a mixture of distorted corner and edge-sharing OSm4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Sm(4) and three equivalent Sm(5) atoms to form a mixture of distorted corner and edge-sharing OSm4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Th(1) and three equivalent Sm(6) atoms to form OSm3Th tetrahedra that share  a cornercorner with one O(3)Th4 tetrahedra, corners with three equivalent O(16)Sm4 tetrahedra, corners with three equivalent O(1)Th4 tetrahedra, corners with six equivalent O(15)Sm3Th tetrahedra, edges with three equivalent O(16)Sm4 tetrahedra, and edges with three equivalent O(17)SmTh3 tetrahedra. In the sixteenth O site, O(16) is bonded to one Sm(5) and three equivalent Sm(6) atoms to form distorted OSm4 tetrahedra that share  a cornercorner with one O(12)Sm4 tetrahedra, corners with three equivalent O(15)Sm3Th tetrahedra, corners with three equivalent O(14)Sm4 tetrahedra, corners with three equivalent O(17)SmTh3 tetrahedra, corners with six equivalent O(16)Sm4 tetrahedra, and edges with three equivalent O(15)Sm3Th tetrahedra. In the seventeenth O site, O(17) is bonded to three equivalent Th(1) and one Sm(6) atom to form OSmTh3 tetrahedra that share corners with three equivalent O(16)Sm4 tetrahedra, corners with three equivalent O(1)Th4 tetrahedra, corners with three equivalent O(3)Th4 tetrahedra, corners with six equivalent O(17)SmTh3 tetrahedra, edges with three equivalent O(15)Sm3Th tetrahedra, and edges with three equivalent O(1)Th4 tetrahedra. is represented by the CIF file [CIF]
data_Sm6Th4O17
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.905
_cell_length_b   3.905
_cell_length_c   39.884
_cell_angle_alpha   60.693
_cell_angle_beta   60.693
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   434.395
_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
  Sm  Sm0  1  0.986  0.986  0.504  1.0
  Sm  Sm1  1  0.007  0.007  0.398  1.0
  Sm  Sm2  1  0.009  0.009  0.597  1.0
  Sm  Sm3  1  0.986  0.986  0.704  1.0
  Sm  Sm4  1  0.010  0.010  0.797  1.0
  Sm  Sm5  1  0.989  0.989  0.903  1.0
  Th  Th6  1  0.007  0.007  0.998  1.0
  Th  Th7  1  0.006  0.006  0.098  1.0
  Th  Th8  1  0.005  0.005  0.298  1.0
  Th  Th9  1  0.005  0.005  0.198  1.0
  O  O10  1  0.248  0.248  0.026  1.0
  O  O11  1  0.247  0.247  0.126  1.0
  O  O12  1  0.748  0.748  0.075  1.0
  O  O13  1  0.245  0.245  0.226  1.0
  O  O14  1  0.748  0.748  0.176  1.0
  O  O15  1  0.250  0.250  0.325  1.0
  O  O16  1  0.748  0.748  0.276  1.0
  O  O17  1  0.718  0.718  0.385  1.0
  O  O18  1  0.249  0.249  0.525  1.0
  O  O19  1  0.782  0.782  0.465  1.0
  O  O20  1  0.721  0.721  0.584  1.0
  O  O21  1  0.249  0.249  0.725  1.0
  O  O22  1  0.783  0.783  0.665  1.0
  O  O23  1  0.721  0.721  0.784  1.0
  O  O24  1  0.248  0.248  0.926  1.0
  O  O25  1  0.784  0.784  0.865  1.0
  O  O26  1  0.749  0.749  0.975  1.0
[/CIF]
.
The material described by Th4Sm6O17 crystallizes in the trigonal R3m space group. There are four inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to one O(15), one O(3), three equivalent O(1), and three equivalent O(17) atoms. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to one O(1), one O(5), three equivalent O(2), and three equivalent O(3) atoms. In the third Th site, Th(3) is bonded in a body-centered cubic geometry to one O(4), one O(8), three equivalent O(6), and three equivalent O(7) atoms. In the fourth Th site, Th(4) is bonded in a body-centered cubic geometry to one O(2), one O(7), three equivalent O(4), and three equivalent O(5) atoms. There are six inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 7-coordinate geometry to one O(11), three equivalent O(10), and three equivalent O(9) atoms. In the second Sm site, Sm(2) is bonded to one O(10), one O(6), and three equivalent O(8) atoms to form corner-sharing SmO5 trigonal bipyramids. In the third Sm site, Sm(3) is bonded to one O(13), one O(9), and three equivalent O(11) atoms to form corner-sharing SmO5 trigonal bipyramids. In the fourth Sm site, Sm(4) is bonded in a 7-coordinate geometry to one O(14), three equivalent O(12), and three equivalent O(13) atoms. In the fifth Sm site, Sm(5) is bonded to one O(12), one O(16), and three equivalent O(14) atoms to form corner-sharing SmO5 trigonal bipyramids. In the sixth Sm site, Sm(6) is bonded in a 7-coordinate geometry to one O(17), three equivalent O(15), and three equivalent O(16) atoms. There are seventeen inequivalent O sites. In the first O site, O(1) is bonded to one Th(2) and three equivalent Th(1) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(5)Th4 tetrahedra, corners with three equivalent O(15)Sm3Th tetrahedra, corners with three equivalent O(17)SmTh3 tetrahedra, corners with three equivalent O(2)Th4 tetrahedra, corners with six equivalent O(1)Th4 tetrahedra, edges with three equivalent O(17)SmTh3 tetrahedra, and edges with three equivalent O(3)Th4 tetrahedra. In the second O site, O(2) is bonded to one Th(4) and three equivalent Th(2) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the third O site, O(3) is bonded to one Th(1) and three equivalent Th(2) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(15)Sm3Th tetrahedra, corners with three equivalent O(17)SmTh3 tetrahedra, corners with three equivalent O(2)Th4 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with six equivalent O(3)Th4 tetrahedra, edges with three equivalent O(1)Th4 tetrahedra, and edges with three equivalent O(2)Th4 tetrahedra. In the fourth O site, O(4) is bonded to one Th(3) and three equivalent Th(4) atoms to form OTh4 tetrahedra that share corners with three equivalent O(6)SmTh3 tetrahedra, corners with three equivalent O(2)Th4 tetrahedra, corners with three equivalent O(5)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(4) atoms to form a mixture of corner and edge-sharing OTh4 tetrahedra. In the sixth O site, O(6) is bonded to three equivalent Th(3) and one Sm(2) atom to form OSmTh3 tetrahedra that share  a cornercorner with one O(10)Sm4 tetrahedra, corners with three equivalent O(4)Th4 tetrahedra, corners with three equivalent O(7)Th4 tetrahedra, corners with six equivalent O(6)SmTh3 tetrahedra, and edges with three equivalent O(7)Th4 tetrahedra. In the seventh O site, O(7) is bonded to one Th(4) and three equivalent Th(3) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(2)Th4 tetrahedra, corners with three equivalent O(6)SmTh3 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with six equivalent O(7)Th4 tetrahedra, edges with three equivalent O(6)SmTh3 tetrahedra, and edges with three equivalent O(4)Th4 tetrahedra. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Th(3) and three equivalent Sm(2) atoms. In the ninth O site, O(9) is bonded to one Sm(3) and three equivalent Sm(1) atoms to form a mixture of corner and edge-sharing OSm4 tetrahedra. In the tenth O site, O(10) is bonded to one Sm(2) and three equivalent Sm(1) atoms to form distorted OSm4 tetrahedra that share  a cornercorner with one O(6)SmTh3 tetrahedra, corners with three equivalent O(11)Sm4 tetrahedra, corners with three equivalent O(9)Sm4 tetrahedra, corners with six equivalent O(10)Sm4 tetrahedra, and edges with three equivalent O(9)Sm4 tetrahedra. In the eleventh O site, O(11) is bonded to one Sm(1) and three equivalent Sm(3) atoms to form a mixture of distorted corner and edge-sharing OSm4 tetrahedra. In the twelfth O site, O(12) is bonded to one Sm(5) and three equivalent Sm(4) atoms to form a mixture of corner and edge-sharing OSm4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Sm(3) and three equivalent Sm(4) atoms to form a mixture of distorted corner and edge-sharing OSm4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Sm(4) and three equivalent Sm(5) atoms to form a mixture of distorted corner and edge-sharing OSm4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Th(1) and three equivalent Sm(6) atoms to form OSm3Th tetrahedra that share  a cornercorner with one O(3)Th4 tetrahedra, corners with three equivalent O(16)Sm4 tetrahedra, corners with three equivalent O(1)Th4 tetrahedra, corners with six equivalent O(15)Sm3Th tetrahedra, edges with three equivalent O(16)Sm4 tetrahedra, and edges with three equivalent O(17)SmTh3 tetrahedra. In the sixteenth O site, O(16) is bonded to one Sm(5) and three equivalent Sm(6) atoms to form distorted OSm4 tetrahedra that share  a cornercorner with one O(12)Sm4 tetrahedra, corners with three equivalent O(15)Sm3Th tetrahedra, corners with three equivalent O(14)Sm4 tetrahedra, corners with three equivalent O(17)SmTh3 tetrahedra, corners with six equivalent O(16)Sm4 tetrahedra, and edges with three equivalent O(15)Sm3Th tetrahedra. In the seventeenth O site, O(17) is bonded to three equivalent Th(1) and one Sm(6) atom to form OSmTh3 tetrahedra that share corners with three equivalent O(16)Sm4 tetrahedra, corners with three equivalent O(1)Th4 tetrahedra, corners with three equivalent O(3)Th4 tetrahedra, corners with six equivalent O(17)SmTh3 tetrahedra, edges with three equivalent O(15)Sm3Th tetrahedra, and edges with three equivalent O(1)Th4 tetrahedra. is represented by the CIF file [CIF]
data_Sm6Th4O17
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.905
_cell_length_b   3.905
_cell_length_c   39.884
_cell_angle_alpha   60.693
_cell_angle_beta   60.693
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   434.395
_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
  Sm  Sm0  1  0.986  0.986  0.504  1.0
  Sm  Sm1  1  0.007  0.007  0.398  1.0
  Sm  Sm2  1  0.009  0.009  0.597  1.0
  Sm  Sm3  1  0.986  0.986  0.704  1.0
  Sm  Sm4  1  0.010  0.010  0.797  1.0
  Sm  Sm5  1  0.989  0.989  0.903  1.0
  Th  Th6  1  0.007  0.007  0.998  1.0
  Th  Th7  1  0.006  0.006  0.098  1.0
  Th  Th8  1  0.005  0.005  0.298  1.0
  Th  Th9  1  0.005  0.005  0.198  1.0
  O  O10  1  0.248  0.248  0.026  1.0
  O  O11  1  0.247  0.247  0.126  1.0
  O  O12  1  0.748  0.748  0.075  1.0
  O  O13  1  0.245  0.245  0.226  1.0
  O  O14  1  0.748  0.748  0.176  1.0
  O  O15  1  0.250  0.250  0.325  1.0
  O  O16  1  0.748  0.748  0.276  1.0
  O  O17  1  0.718  0.718  0.385  1.0
  O  O18  1  0.249  0.249  0.525  1.0
  O  O19  1  0.782  0.782  0.465  1.0
  O  O20  1  0.721  0.721  0.584  1.0
  O  O21  1  0.249  0.249  0.725  1.0
  O  O22  1  0.783  0.783  0.665  1.0
  O  O23  1  0.721  0.721  0.784  1.0
  O  O24  1  0.248  0.248  0.926  1.0
  O  O25  1  0.784  0.784  0.865  1.0
  O  O26  1  0.749  0.749  0.975  1.0
[/CIF]
.