The compound described by Ce4Y6O17 crystallizes in the trigonal R3m space group. There are four inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a body-centered cubic geometry to one O(15), one O(8), three equivalent O(10), and three equivalent O(13) atoms. In the second Ce site, Ce(2) is bonded in a body-centered cubic geometry to one O(10), one O(16), three equivalent O(12), and three equivalent O(15) atoms. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to one O(13), one O(6), three equivalent O(11), and three equivalent O(8) atoms. In the fourth Ce site, Ce(4) is bonded in a distorted body-centered cubic geometry to one O(12), one O(17), three equivalent O(14), and three equivalent O(16) atoms. There are six inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(14), one O(2), and three equivalent O(17) atoms to form corner-sharing YO5 trigonal bipyramids. In the second Y site, Y(2) is bonded in a 7-coordinate geometry to one O(4), three equivalent O(1), and three equivalent O(2) atoms. In the third Y site, Y(3) is bonded to one O(1), one O(5), and three equivalent O(4) atoms to form corner-sharing YO5 trigonal bipyramids. In the fourth Y site, Y(4) is bonded to one O(3), one O(9), and three equivalent O(7) atoms to form corner-sharing YO5 trigonal bipyramids. In the fifth Y site, Y(5) is bonded in a 7-coordinate geometry to one O(11), three equivalent O(6), and three equivalent O(9) atoms. In the sixth Y site, Y(6) is bonded in a 7-coordinate geometry to one O(7), three equivalent O(3), and three equivalent O(5) atoms. There are seventeen inequivalent O sites. In the first O site, O(1) is bonded to one Y(3) and three equivalent Y(2) atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the second O site, O(2) is bonded to one Y(1) and three equivalent Y(2) atoms to form distorted OY4 tetrahedra that share  a cornercorner with one O(14)Ce3Y tetrahedra, corners with three equivalent O(1)Y4 tetrahedra, corners with six equivalent O(2)Y4 tetrahedra, corners with three equivalent O(4)Y4 trigonal pyramids, and edges with three equivalent O(1)Y4 tetrahedra. In the third O site, O(3) is bonded to one Y(4) and three equivalent Y(6) atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the fourth O site, O(4) is bonded to one Y(2) and three equivalent Y(3) atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the fifth O site, O(5) is bonded to one Y(3) and three equivalent Y(6) atoms to form a mixture of distorted corner and edge-sharing OY4 tetrahedra. In the sixth O site, O(6) is bonded to one Ce(3) and three equivalent Y(5) atoms to form OCeY3 tetrahedra that share  a cornercorner with one O(13)Ce4 tetrahedra, corners with three equivalent O(8)Ce4 tetrahedra, corners with three equivalent O(9)Y4 tetrahedra, corners with six equivalent O(6)CeY3 tetrahedra, edges with three equivalent O(11)Ce3Y tetrahedra, and edges with three equivalent O(9)Y4 tetrahedra. In the seventh O site, O(7) is bonded to one Y(6) and three equivalent Y(4) atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the eighth O site, O(8) is bonded to one Ce(1) and three equivalent Ce(3) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(15)Ce4 tetrahedra, corners with three equivalent O(11)Ce3Y tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(6)CeY3 tetrahedra, corners with six equivalent O(8)Ce4 tetrahedra, edges with three equivalent O(11)Ce3Y tetrahedra, and edges with three equivalent O(13)Ce4 tetrahedra. In the ninth O site, O(9) is bonded to one Y(4) and three equivalent Y(5) atoms to form distorted OY4 tetrahedra that share  a cornercorner with one O(3)Y4 tetrahedra, corners with three equivalent O(11)Ce3Y tetrahedra, corners with three equivalent O(6)CeY3 tetrahedra, corners with six equivalent O(9)Y4 tetrahedra, corners with three equivalent O(7)Y4 trigonal pyramids, and edges with three equivalent O(6)CeY3 tetrahedra. In the tenth O site, O(10) is bonded to one Ce(2) and three equivalent Ce(1) atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eleventh O site, O(11) is bonded to three equivalent Ce(3) and one Y(5) atom to form OCe3Y tetrahedra that share corners with three equivalent O(13)Ce4 tetrahedra, corners with three equivalent O(8)Ce4 tetrahedra, corners with three equivalent O(9)Y4 tetrahedra, corners with six equivalent O(11)Ce3Y tetrahedra, edges with three equivalent O(8)Ce4 tetrahedra, and edges with three equivalent O(6)CeY3 tetrahedra. In the twelfth O site, O(12) is bonded to one Ce(4) and three equivalent Ce(2) atoms to form OCe4 tetrahedra that share corners with three equivalent O(14)Ce3Y tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(15)Ce4 tetrahedra, corners with six equivalent O(12)Ce4 tetrahedra, edges with three equivalent O(15)Ce4 tetrahedra, and edges with three equivalent O(16)Ce4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Ce(3) and three equivalent Ce(1) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(6)CeY3 tetrahedra, corners with three equivalent O(11)Ce3Y tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(15)Ce4 tetrahedra, corners with six equivalent O(13)Ce4 tetrahedra, edges with three equivalent O(10)Ce4 tetrahedra, and edges with three equivalent O(8)Ce4 tetrahedra. In the fourteenth O site, O(14) is bonded to three equivalent Ce(4) and one Y(1) atom to form OCe3Y tetrahedra that share  a cornercorner with one O(2)Y4 tetrahedra, corners with three equivalent O(12)Ce4 tetrahedra, corners with three equivalent O(16)Ce4 tetrahedra, corners with six equivalent O(14)Ce3Y tetrahedra, and edges with three equivalent O(16)Ce4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Ce(1) and three equivalent Ce(2) atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Ce(2) and three equivalent Ce(4) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(10)Ce4 tetrahedra, corners with three equivalent O(14)Ce3Y tetrahedra, corners with three equivalent O(15)Ce4 tetrahedra, corners with six equivalent O(16)Ce4 tetrahedra, edges with three equivalent O(14)Ce3Y tetrahedra, and edges with three equivalent O(12)Ce4 tetrahedra. In the seventeenth O site, O(17) is bonded in a distorted trigonal planar geometry to one Ce(4) and three equivalent Y(1) atoms. is represented by the CIF file [CIF]
data_Ce4Y6O17
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.789
_cell_length_b   3.789
_cell_length_c   38.882
_cell_angle_alpha   60.840
_cell_angle_beta   60.840
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   399.676
_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  0.006  0.006  0.698  1.0
  Ce  Ce1  1  0.007  0.007  0.798  1.0
  Ce  Ce2  1  0.007  0.007  0.598  1.0
  Ce  Ce3  1  0.008  0.008  0.898  1.0
  Y  Y4  1  0.008  0.008  0.998  1.0
  Y  Y5  1  0.989  0.989  0.103  1.0
  Y  Y6  1  0.010  0.010  0.197  1.0
  Y  Y7  1  0.010  0.010  0.397  1.0
  Y  Y8  1  0.990  0.990  0.503  1.0
  Y  Y9  1  0.989  0.989  0.303  1.0
  O  O10  1  0.249  0.249  0.125  1.0
  O  O11  1  0.783  0.783  0.065  1.0
  O  O12  1  0.249  0.249  0.325  1.0
  O  O13  1  0.717  0.717  0.185  1.0
  O  O14  1  0.785  0.785  0.265  1.0
  O  O15  1  0.248  0.248  0.526  1.0
  O  O16  1  0.717  0.717  0.385  1.0
  O  O17  1  0.247  0.247  0.626  1.0
  O  O18  1  0.785  0.785  0.465  1.0
  O  O19  1  0.247  0.247  0.726  1.0
  O  O20  1  0.748  0.748  0.576  1.0
  O  O21  1  0.246  0.246  0.826  1.0
  O  O22  1  0.748  0.748  0.676  1.0
  O  O23  1  0.249  0.249  0.925  1.0
  O  O24  1  0.748  0.748  0.776  1.0
  O  O25  1  0.749  0.749  0.875  1.0
  O  O26  1  0.712  0.712  0.986  1.0
[/CIF]
.
The compound described by Ce4Y6O17 crystallizes in the trigonal R3m space group. There are four inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a body-centered cubic geometry to one O(15), one O(8), three equivalent O(10), and three equivalent O(13) atoms. In the second Ce site, Ce(2) is bonded in a body-centered cubic geometry to one O(10), one O(16), three equivalent O(12), and three equivalent O(15) atoms. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to one O(13), one O(6), three equivalent O(11), and three equivalent O(8) atoms. In the fourth Ce site, Ce(4) is bonded in a distorted body-centered cubic geometry to one O(12), one O(17), three equivalent O(14), and three equivalent O(16) atoms. There are six inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(14), one O(2), and three equivalent O(17) atoms to form corner-sharing YO5 trigonal bipyramids. In the second Y site, Y(2) is bonded in a 7-coordinate geometry to one O(4), three equivalent O(1), and three equivalent O(2) atoms. In the third Y site, Y(3) is bonded to one O(1), one O(5), and three equivalent O(4) atoms to form corner-sharing YO5 trigonal bipyramids. In the fourth Y site, Y(4) is bonded to one O(3), one O(9), and three equivalent O(7) atoms to form corner-sharing YO5 trigonal bipyramids. In the fifth Y site, Y(5) is bonded in a 7-coordinate geometry to one O(11), three equivalent O(6), and three equivalent O(9) atoms. In the sixth Y site, Y(6) is bonded in a 7-coordinate geometry to one O(7), three equivalent O(3), and three equivalent O(5) atoms. There are seventeen inequivalent O sites. In the first O site, O(1) is bonded to one Y(3) and three equivalent Y(2) atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the second O site, O(2) is bonded to one Y(1) and three equivalent Y(2) atoms to form distorted OY4 tetrahedra that share  a cornercorner with one O(14)Ce3Y tetrahedra, corners with three equivalent O(1)Y4 tetrahedra, corners with six equivalent O(2)Y4 tetrahedra, corners with three equivalent O(4)Y4 trigonal pyramids, and edges with three equivalent O(1)Y4 tetrahedra. In the third O site, O(3) is bonded to one Y(4) and three equivalent Y(6) atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the fourth O site, O(4) is bonded to one Y(2) and three equivalent Y(3) atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the fifth O site, O(5) is bonded to one Y(3) and three equivalent Y(6) atoms to form a mixture of distorted corner and edge-sharing OY4 tetrahedra. In the sixth O site, O(6) is bonded to one Ce(3) and three equivalent Y(5) atoms to form OCeY3 tetrahedra that share  a cornercorner with one O(13)Ce4 tetrahedra, corners with three equivalent O(8)Ce4 tetrahedra, corners with three equivalent O(9)Y4 tetrahedra, corners with six equivalent O(6)CeY3 tetrahedra, edges with three equivalent O(11)Ce3Y tetrahedra, and edges with three equivalent O(9)Y4 tetrahedra. In the seventh O site, O(7) is bonded to one Y(6) and three equivalent Y(4) atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the eighth O site, O(8) is bonded to one Ce(1) and three equivalent Ce(3) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(15)Ce4 tetrahedra, corners with three equivalent O(11)Ce3Y tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(6)CeY3 tetrahedra, corners with six equivalent O(8)Ce4 tetrahedra, edges with three equivalent O(11)Ce3Y tetrahedra, and edges with three equivalent O(13)Ce4 tetrahedra. In the ninth O site, O(9) is bonded to one Y(4) and three equivalent Y(5) atoms to form distorted OY4 tetrahedra that share  a cornercorner with one O(3)Y4 tetrahedra, corners with three equivalent O(11)Ce3Y tetrahedra, corners with three equivalent O(6)CeY3 tetrahedra, corners with six equivalent O(9)Y4 tetrahedra, corners with three equivalent O(7)Y4 trigonal pyramids, and edges with three equivalent O(6)CeY3 tetrahedra. In the tenth O site, O(10) is bonded to one Ce(2) and three equivalent Ce(1) atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eleventh O site, O(11) is bonded to three equivalent Ce(3) and one Y(5) atom to form OCe3Y tetrahedra that share corners with three equivalent O(13)Ce4 tetrahedra, corners with three equivalent O(8)Ce4 tetrahedra, corners with three equivalent O(9)Y4 tetrahedra, corners with six equivalent O(11)Ce3Y tetrahedra, edges with three equivalent O(8)Ce4 tetrahedra, and edges with three equivalent O(6)CeY3 tetrahedra. In the twelfth O site, O(12) is bonded to one Ce(4) and three equivalent Ce(2) atoms to form OCe4 tetrahedra that share corners with three equivalent O(14)Ce3Y tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(15)Ce4 tetrahedra, corners with six equivalent O(12)Ce4 tetrahedra, edges with three equivalent O(15)Ce4 tetrahedra, and edges with three equivalent O(16)Ce4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Ce(3) and three equivalent Ce(1) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(6)CeY3 tetrahedra, corners with three equivalent O(11)Ce3Y tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(15)Ce4 tetrahedra, corners with six equivalent O(13)Ce4 tetrahedra, edges with three equivalent O(10)Ce4 tetrahedra, and edges with three equivalent O(8)Ce4 tetrahedra. In the fourteenth O site, O(14) is bonded to three equivalent Ce(4) and one Y(1) atom to form OCe3Y tetrahedra that share  a cornercorner with one O(2)Y4 tetrahedra, corners with three equivalent O(12)Ce4 tetrahedra, corners with three equivalent O(16)Ce4 tetrahedra, corners with six equivalent O(14)Ce3Y tetrahedra, and edges with three equivalent O(16)Ce4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Ce(1) and three equivalent Ce(2) atoms to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Ce(2) and three equivalent Ce(4) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(10)Ce4 tetrahedra, corners with three equivalent O(14)Ce3Y tetrahedra, corners with three equivalent O(15)Ce4 tetrahedra, corners with six equivalent O(16)Ce4 tetrahedra, edges with three equivalent O(14)Ce3Y tetrahedra, and edges with three equivalent O(12)Ce4 tetrahedra. In the seventeenth O site, O(17) is bonded in a distorted trigonal planar geometry to one Ce(4) and three equivalent Y(1) atoms. is represented by the CIF file [CIF]
data_Ce4Y6O17
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.789
_cell_length_b   3.789
_cell_length_c   38.882
_cell_angle_alpha   60.840
_cell_angle_beta   60.840
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   399.676
_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  0.006  0.006  0.698  1.0
  Ce  Ce1  1  0.007  0.007  0.798  1.0
  Ce  Ce2  1  0.007  0.007  0.598  1.0
  Ce  Ce3  1  0.008  0.008  0.898  1.0
  Y  Y4  1  0.008  0.008  0.998  1.0
  Y  Y5  1  0.989  0.989  0.103  1.0
  Y  Y6  1  0.010  0.010  0.197  1.0
  Y  Y7  1  0.010  0.010  0.397  1.0
  Y  Y8  1  0.990  0.990  0.503  1.0
  Y  Y9  1  0.989  0.989  0.303  1.0
  O  O10  1  0.249  0.249  0.125  1.0
  O  O11  1  0.783  0.783  0.065  1.0
  O  O12  1  0.249  0.249  0.325  1.0
  O  O13  1  0.717  0.717  0.185  1.0
  O  O14  1  0.785  0.785  0.265  1.0
  O  O15  1  0.248  0.248  0.526  1.0
  O  O16  1  0.717  0.717  0.385  1.0
  O  O17  1  0.247  0.247  0.626  1.0
  O  O18  1  0.785  0.785  0.465  1.0
  O  O19  1  0.247  0.247  0.726  1.0
  O  O20  1  0.748  0.748  0.576  1.0
  O  O21  1  0.246  0.246  0.826  1.0
  O  O22  1  0.748  0.748  0.676  1.0
  O  O23  1  0.249  0.249  0.925  1.0
  O  O24  1  0.748  0.748  0.776  1.0
  O  O25  1  0.749  0.749  0.875  1.0
  O  O26  1  0.712  0.712  0.986  1.0
[/CIF]
.