The compound described by Ce13O24 crystallizes in the triclinic P1 space group. There are thirteen inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 7-coordinate geometry to one O(1), one O(20), one O(22), one O(24), one O(3), one O(5), and one O(7) atom. In the second Ce site, Ce(2) is bonded to one O(1), one O(2), one O(23), one O(4), one O(5), one O(7), and one O(8) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to one O(1), one O(10), one O(2), one O(24), one O(3), one O(6), one O(7), and one O(8) atom. In the fourth Ce site, Ce(4) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(2), one O(3), one O(4), one O(5), and one O(8) atom. In the fifth Ce site, Ce(5) is bonded in a body-centered cubic geometry to one O(10), one O(11), one O(13), one O(3), one O(4), one O(6), one O(7), and one O(9) atom. In the sixth Ce site, Ce(6) is bonded to one O(11), one O(12), one O(13), one O(15), one O(4), one O(6), and one O(8) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the seventh Ce site, Ce(7) is bonded to one O(10), one O(13), one O(14), one O(15), one O(17), one O(6), and one O(9) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the eighth Ce site, Ce(8) is bonded in a 7-coordinate geometry to one O(11), one O(12), one O(15), one O(16), one O(17), one O(19), and one O(9) atom. In the ninth Ce site, Ce(9) is bonded in a body-centered cubic geometry to one O(12), one O(13), one O(14), one O(17), one O(18), one O(19), one O(21), and one O(9) atom. In the tenth Ce site, Ce(10) is bonded in a body-centered cubic geometry to one O(12), one O(14), one O(15), one O(16), one O(19), one O(20), one O(21), and one O(22) atom. In the eleventh Ce site, Ce(11) is bonded to one O(14), one O(16), one O(17), one O(18), one O(21), one O(22), and one O(23) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the twelfth Ce site, Ce(12) is bonded in a body-centered cubic geometry to one O(1), one O(16), one O(18), one O(19), one O(20), one O(22), one O(23), and one O(24) atom. In the thirteenth Ce site, Ce(13) is bonded to one O(18), one O(2), one O(20), one O(21), one O(23), one O(24), and one O(5) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ce(1), one Ce(12), one Ce(2), and one Ce(3) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the second O site, O(2) is bonded to one Ce(13), one Ce(2), one Ce(3), and one Ce(4) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the third O site, O(3) is bonded to one Ce(1), one Ce(3), one Ce(4), and one Ce(5) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourth O site, O(4) is bonded to one Ce(2), one Ce(4), one Ce(5), and one Ce(6) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifth O site, O(5) is bonded to one Ce(1), one Ce(13), one Ce(2), and one Ce(4) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the sixth O site, O(6) is bonded to one Ce(3), one Ce(5), one Ce(6), and one Ce(7) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventh O site, O(7) is bonded to one Ce(1), one Ce(2), one Ce(3), and one Ce(5) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eighth O site, O(8) is bonded to one Ce(2), one Ce(3), one Ce(4), and one Ce(6) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the ninth O site, O(9) is bonded to one Ce(5), one Ce(7), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the tenth O site, O(10) is bonded to one Ce(3), one Ce(4), one Ce(5), and one Ce(7) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eleventh O site, O(11) is bonded to one Ce(4), one Ce(5), one Ce(6), and one Ce(8) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twelfth O site, O(12) is bonded to one Ce(10), one Ce(6), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Ce(5), one Ce(6), one Ce(7), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Ce(10), one Ce(11), one Ce(7), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Ce(10), one Ce(6), one Ce(7), and one Ce(8) atom to form a mixture of distorted corner and edge-sharing OCe4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Ce(10), one Ce(11), one Ce(12), and one Ce(8) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Ce(11), one Ce(7), one Ce(8), and one Ce(9) atom to form a mixture of distorted corner and edge-sharing OCe4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Ce(11), one Ce(12), one Ce(13), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the nineteenth O site, O(19) is bonded to one Ce(10), one Ce(12), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twentieth O site, O(20) is bonded to one Ce(1), one Ce(10), one Ce(12), and one Ce(13) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-first O site, O(21) is bonded to one Ce(10), one Ce(11), one Ce(13), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-second O site, O(22) is bonded to one Ce(1), one Ce(10), one Ce(11), and one Ce(12) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-third O site, O(23) is bonded to one Ce(11), one Ce(12), one Ce(13), and one Ce(2) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Ce(1), one Ce(12), one Ce(13), and one Ce(3) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. is represented by the CIF file [CIF]
data_Ce13O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   50.632
_cell_length_b   14.047
_cell_length_c   6.751
_cell_angle_alpha   28.264
_cell_angle_beta   29.975
_cell_angle_gamma   13.888
_symmetry_Int_Tables_number   1
_cell_volume   543.124
_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  0.003  0.989  0.980  1.0
  Ce  Ce1  1  0.088  0.979  0.971  1.0
  Ce  Ce2  1  0.155  0.999  0.002  1.0
  Ce  Ce3  1  0.220  0.046  0.982  1.0
  Ce  Ce4  1  0.306  0.004  0.011  1.0
  Ce  Ce5  1  0.386  0.968  0.054  1.0
  Ce  Ce6  1  0.462  0.995  0.979  1.0
  Ce  Ce7  1  0.549  0.979  0.982  1.0
  Ce  Ce8  1  0.613  0.018  0.979  1.0
  Ce  Ce9  1  0.699  0.977  0.997  1.0
  Ce  Ce10  1  0.753  0.061  0.994  1.0
  Ce  Ce11  1  0.848  0.994  0.009  1.0
  Ce  Ce12  1  0.918  0.986  0.063  1.0
  O  O13  1  0.028  0.241  0.208  1.0
  O  O14  1  0.096  0.254  0.247  1.0
  O  O15  1  0.171  0.257  0.246  1.0
  O  O16  1  0.250  0.246  0.257  1.0
  O  O17  1  0.048  0.796  0.707  1.0
  O  O18  1  0.321  0.245  0.293  1.0
  O  O19  1  0.118  0.793  0.793  1.0
  O  O20  1  0.232  0.695  0.701  1.0
  O  O21  1  0.482  0.263  0.221  1.0
  O  O22  1  0.295  0.715  0.785  1.0
  O  O23  1  0.371  0.698  0.790  1.0
  O  O24  1  0.568  0.221  0.240  1.0
  O  O25  1  0.440  0.791  0.706  1.0
  O  O26  1  0.630  0.273  0.219  1.0
  O  O27  1  0.505  0.812  0.703  1.0
  O  O28  1  0.715  0.242  0.260  1.0
  O  O29  1  0.577  0.796  0.813  1.0
  O  O30  1  0.777  0.281  0.277  1.0
  O  O31  1  0.678  0.741  0.741  1.0
  O  O32  1  0.867  0.226  0.276  1.0
  O  O33  1  0.763  0.719  0.703  1.0
  O  O34  1  0.840  0.694  0.794  1.0
  O  O35  1  0.907  0.702  0.798  1.0
  O  O36  1  0.973  0.804  0.717  1.0
[/CIF]
.
The compound described by Ce13O24 crystallizes in the triclinic P1 space group. There are thirteen inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 7-coordinate geometry to one O(1), one O(20), one O(22), one O(24), one O(3), one O(5), and one O(7) atom. In the second Ce site, Ce(2) is bonded to one O(1), one O(2), one O(23), one O(4), one O(5), one O(7), and one O(8) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to one O(1), one O(10), one O(2), one O(24), one O(3), one O(6), one O(7), and one O(8) atom. In the fourth Ce site, Ce(4) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(2), one O(3), one O(4), one O(5), and one O(8) atom. In the fifth Ce site, Ce(5) is bonded in a body-centered cubic geometry to one O(10), one O(11), one O(13), one O(3), one O(4), one O(6), one O(7), and one O(9) atom. In the sixth Ce site, Ce(6) is bonded to one O(11), one O(12), one O(13), one O(15), one O(4), one O(6), and one O(8) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the seventh Ce site, Ce(7) is bonded to one O(10), one O(13), one O(14), one O(15), one O(17), one O(6), and one O(9) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the eighth Ce site, Ce(8) is bonded in a 7-coordinate geometry to one O(11), one O(12), one O(15), one O(16), one O(17), one O(19), and one O(9) atom. In the ninth Ce site, Ce(9) is bonded in a body-centered cubic geometry to one O(12), one O(13), one O(14), one O(17), one O(18), one O(19), one O(21), and one O(9) atom. In the tenth Ce site, Ce(10) is bonded in a body-centered cubic geometry to one O(12), one O(14), one O(15), one O(16), one O(19), one O(20), one O(21), and one O(22) atom. In the eleventh Ce site, Ce(11) is bonded to one O(14), one O(16), one O(17), one O(18), one O(21), one O(22), and one O(23) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the twelfth Ce site, Ce(12) is bonded in a body-centered cubic geometry to one O(1), one O(16), one O(18), one O(19), one O(20), one O(22), one O(23), and one O(24) atom. In the thirteenth Ce site, Ce(13) is bonded to one O(18), one O(2), one O(20), one O(21), one O(23), one O(24), and one O(5) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ce(1), one Ce(12), one Ce(2), and one Ce(3) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the second O site, O(2) is bonded to one Ce(13), one Ce(2), one Ce(3), and one Ce(4) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the third O site, O(3) is bonded to one Ce(1), one Ce(3), one Ce(4), and one Ce(5) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourth O site, O(4) is bonded to one Ce(2), one Ce(4), one Ce(5), and one Ce(6) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifth O site, O(5) is bonded to one Ce(1), one Ce(13), one Ce(2), and one Ce(4) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the sixth O site, O(6) is bonded to one Ce(3), one Ce(5), one Ce(6), and one Ce(7) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventh O site, O(7) is bonded to one Ce(1), one Ce(2), one Ce(3), and one Ce(5) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eighth O site, O(8) is bonded to one Ce(2), one Ce(3), one Ce(4), and one Ce(6) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the ninth O site, O(9) is bonded to one Ce(5), one Ce(7), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the tenth O site, O(10) is bonded to one Ce(3), one Ce(4), one Ce(5), and one Ce(7) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eleventh O site, O(11) is bonded to one Ce(4), one Ce(5), one Ce(6), and one Ce(8) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twelfth O site, O(12) is bonded to one Ce(10), one Ce(6), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Ce(5), one Ce(6), one Ce(7), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Ce(10), one Ce(11), one Ce(7), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Ce(10), one Ce(6), one Ce(7), and one Ce(8) atom to form a mixture of distorted corner and edge-sharing OCe4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Ce(10), one Ce(11), one Ce(12), and one Ce(8) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Ce(11), one Ce(7), one Ce(8), and one Ce(9) atom to form a mixture of distorted corner and edge-sharing OCe4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Ce(11), one Ce(12), one Ce(13), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the nineteenth O site, O(19) is bonded to one Ce(10), one Ce(12), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twentieth O site, O(20) is bonded to one Ce(1), one Ce(10), one Ce(12), and one Ce(13) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-first O site, O(21) is bonded to one Ce(10), one Ce(11), one Ce(13), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-second O site, O(22) is bonded to one Ce(1), one Ce(10), one Ce(11), and one Ce(12) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-third O site, O(23) is bonded to one Ce(11), one Ce(12), one Ce(13), and one Ce(2) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Ce(1), one Ce(12), one Ce(13), and one Ce(3) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. is represented by the CIF file [CIF]
data_Ce13O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   50.632
_cell_length_b   14.047
_cell_length_c   6.751
_cell_angle_alpha   28.264
_cell_angle_beta   29.975
_cell_angle_gamma   13.888
_symmetry_Int_Tables_number   1
_cell_volume   543.124
_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  0.003  0.989  0.980  1.0
  Ce  Ce1  1  0.088  0.979  0.971  1.0
  Ce  Ce2  1  0.155  0.999  0.002  1.0
  Ce  Ce3  1  0.220  0.046  0.982  1.0
  Ce  Ce4  1  0.306  0.004  0.011  1.0
  Ce  Ce5  1  0.386  0.968  0.054  1.0
  Ce  Ce6  1  0.462  0.995  0.979  1.0
  Ce  Ce7  1  0.549  0.979  0.982  1.0
  Ce  Ce8  1  0.613  0.018  0.979  1.0
  Ce  Ce9  1  0.699  0.977  0.997  1.0
  Ce  Ce10  1  0.753  0.061  0.994  1.0
  Ce  Ce11  1  0.848  0.994  0.009  1.0
  Ce  Ce12  1  0.918  0.986  0.063  1.0
  O  O13  1  0.028  0.241  0.208  1.0
  O  O14  1  0.096  0.254  0.247  1.0
  O  O15  1  0.171  0.257  0.246  1.0
  O  O16  1  0.250  0.246  0.257  1.0
  O  O17  1  0.048  0.796  0.707  1.0
  O  O18  1  0.321  0.245  0.293  1.0
  O  O19  1  0.118  0.793  0.793  1.0
  O  O20  1  0.232  0.695  0.701  1.0
  O  O21  1  0.482  0.263  0.221  1.0
  O  O22  1  0.295  0.715  0.785  1.0
  O  O23  1  0.371  0.698  0.790  1.0
  O  O24  1  0.568  0.221  0.240  1.0
  O  O25  1  0.440  0.791  0.706  1.0
  O  O26  1  0.630  0.273  0.219  1.0
  O  O27  1  0.505  0.812  0.703  1.0
  O  O28  1  0.715  0.242  0.260  1.0
  O  O29  1  0.577  0.796  0.813  1.0
  O  O30  1  0.777  0.281  0.277  1.0
  O  O31  1  0.678  0.741  0.741  1.0
  O  O32  1  0.867  0.226  0.276  1.0
  O  O33  1  0.763  0.719  0.703  1.0
  O  O34  1  0.840  0.694  0.794  1.0
  O  O35  1  0.907  0.702  0.798  1.0
  O  O36  1  0.973  0.804  0.717  1.0
[/CIF]
.