The structure described by Gd3Y13O24 is Spinel-like structured and crystallizes in the monoclinic C2 space group. There are two inequivalent Gd sites. In the first Gd site, Gd(1) is bonded to one O(10), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form distorted GdO6 octahedra that share  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra, corners with two equivalent Y(4)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and edges with two equivalent Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the second Gd site, Gd(2) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form distorted GdO6 octahedra that share corners with two equivalent Gd(1)O6 octahedra, corners with two equivalent Y(1)O6 octahedra, corners with two equivalent Y(4)O6 octahedra, edges with two equivalent Y(2)O6 octahedra, edges with two equivalent Y(5)O6 octahedra, and edges with two equivalent Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. There are eight inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(1), one O(12), one O(3), one O(6), one O(7), and one O(9) atom to form YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. In the second Y site, Y(2) is bonded to one O(10), one O(11), one O(2), one O(4), one O(5), and one O(8) atom to form YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the third Y site, Y(3) is bonded to two equivalent O(1), two equivalent O(11), and two equivalent O(9) atoms to form distorted YO6 octahedra that share corners with two equivalent Gd(1)O6 octahedra, corners with two equivalent Y(2)O6 octahedra, corners with two equivalent Y(4)O6 octahedra, edges with two equivalent Y(1)O6 octahedra, edges with two equivalent Y(5)O6 octahedra, and edges with two equivalent Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the fourth Y site, Y(4) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra, corners with two equivalent Gd(1)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and edges with two equivalent Y(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the fifth Y site, Y(5) is bonded to one O(1), one O(11), one O(12), one O(2), one O(3), and one O(4) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra, corners with two equivalent Y(8)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and edges with two equivalent Y(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the sixth Y site, Y(6) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form distorted YO6 octahedra that share corners with two equivalent Y(1)O6 octahedra, corners with two equivalent Y(5)O6 octahedra, corners with two equivalent Y(8)O6 octahedra, edges with two equivalent Gd(1)O6 octahedra, edges with two equivalent Y(2)O6 octahedra, and edges with two equivalent Y(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the seventh Y site, Y(7) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form distorted YO6 octahedra that share corners with two equivalent Y(2)O6 octahedra, corners with two equivalent Y(5)O6 octahedra, corners with two equivalent Y(8)O6 octahedra, edges with two equivalent Gd(1)O6 octahedra, edges with two equivalent Y(1)O6 octahedra, and edges with two equivalent Y(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the eighth Y site, Y(8) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra, corners with two equivalent Y(5)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and edges with two equivalent Gd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Y(1), one Y(3), one Y(5), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(2)GdY3 trigonal pyramids, corners with two equivalent O(6)GdY3 trigonal pyramids, corners with two equivalent O(3)Y4 trigonal pyramids,  an edgeedge with one O(12)GdY3 trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid, and edges with two equivalent O(9)GdY3 trigonal pyramids. In the second O site, O(2) is bonded to one Gd(2), one Y(2), one Y(5), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(5)GdY3 trigonal pyramids, corners with two equivalent O(1)Y4 trigonal pyramids, corners with two equivalent O(4)Y4 trigonal pyramids, edges with two equivalent O(10)Gd2Y2 tetrahedra,  an edgeedge with one O(12)GdY3 trigonal pyramid, and  an edgeedge with one O(11)Y4 trigonal pyramid. In the third O site, O(3) is bonded to one Y(1), one Y(4), one Y(5), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(5)GdY3 trigonal pyramids, corners with two equivalent O(1)Y4 trigonal pyramids, corners with two equivalent O(4)Y4 trigonal pyramids,  an edgeedge with one O(12)GdY3 trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid, and edges with two equivalent O(7)GdY3 trigonal pyramids. In the fourth O site, O(4) is bonded to one Y(2), one Y(4), one Y(5), and one Y(6) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(2)GdY3 trigonal pyramids, corners with two equivalent O(6)GdY3 trigonal pyramids, corners with two equivalent O(3)Y4 trigonal pyramids,  an edgeedge with one O(12)GdY3 trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid, and edges with two equivalent O(8)GdY3 trigonal pyramids. In the fifth O site, O(5) is bonded to one Gd(1), one Y(2), one Y(7), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(2)GdY3 trigonal pyramids, corners with two equivalent O(6)GdY3 trigonal pyramids, corners with two equivalent O(3)Y4 trigonal pyramids,  an edgeedge with one O(10)Gd2Y2 tetrahedra,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid, and  an edgeedge with one O(9)GdY3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Gd(1), one Y(1), one Y(6), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(5)GdY3 trigonal pyramids, corners with two equivalent O(1)Y4 trigonal pyramids, corners with two equivalent O(4)Y4 trigonal pyramids,  an edgeedge with one O(10)Gd2Y2 tetrahedra,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid, and  an edgeedge with one O(9)GdY3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Gd(1), one Y(1), one Y(4), and one Y(7) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(12)GdY3 trigonal pyramids, corners with two equivalent O(8)GdY3 trigonal pyramids, corners with two equivalent O(9)GdY3 trigonal pyramids,  an edgeedge with one O(5)GdY3 trigonal pyramid,  an edgeedge with one O(6)GdY3 trigonal pyramid, and edges with two equivalent O(3)Y4 trigonal pyramids. In the eighth O site, O(8) is bonded to one Gd(1), one Y(2), one Y(4), and one Y(6) atom to form OGdY3 trigonal pyramids that share corners with two equivalent O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(7)GdY3 trigonal pyramids, corners with two equivalent O(11)Y4 trigonal pyramids,  an edgeedge with one O(5)GdY3 trigonal pyramid,  an edgeedge with one O(6)GdY3 trigonal pyramid, and edges with two equivalent O(4)Y4 trigonal pyramids. In the ninth O site, O(9) is bonded to one Gd(1), one Y(1), one Y(3), and one Y(8) atom to form OGdY3 trigonal pyramids that share corners with two equivalent O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(7)GdY3 trigonal pyramids, corners with two equivalent O(11)Y4 trigonal pyramids,  an edgeedge with one O(5)GdY3 trigonal pyramid,  an edgeedge with one O(6)GdY3 trigonal pyramid, and edges with two equivalent O(1)Y4 trigonal pyramids. In the tenth O site, O(10) is bonded to one Gd(1), one Gd(2), one Y(2), and one Y(8) atom to form OGd2Y2 tetrahedra that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(12)GdY3 trigonal pyramids, corners with two equivalent O(8)GdY3 trigonal pyramids, corners with two equivalent O(9)GdY3 trigonal pyramids,  an edgeedge with one O(5)GdY3 trigonal pyramid,  an edgeedge with one O(6)GdY3 trigonal pyramid, and edges with two equivalent O(2)GdY3 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Y(2), one Y(3), one Y(4), and one Y(5) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(12)GdY3 trigonal pyramids, corners with two equivalent O(8)GdY3 trigonal pyramids, corners with two equivalent O(9)GdY3 trigonal pyramids,  an edgeedge with one O(2)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid,  an edgeedge with one O(3)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Gd(2), one Y(1), one Y(4), and one Y(5) atom to form OGdY3 trigonal pyramids that share corners with two equivalent O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(7)GdY3 trigonal pyramids, corners with two equivalent O(11)Y4 trigonal pyramids,  an edgeedge with one O(2)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid,  an edgeedge with one O(3)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Gd3Y13O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.222
_cell_length_b   9.222
_cell_length_c   10.646
_cell_angle_alpha   54.695
_cell_angle_beta   54.695
_cell_angle_gamma   70.510
_symmetry_Int_Tables_number   1
_cell_volume   602.964
_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
  Gd  Gd0  1  0.750  0.750  0.468  1.0
  Gd  Gd1  1  0.250  0.250  0.532  1.0
  Gd  Gd2  1  0.468  0.532  0.000  1.0
  Y  Y3  1  0.002  0.500  0.750  1.0
  Y  Y4  1  0.499  0.001  0.751  1.0
  Y  Y5  1  0.500  0.998  0.250  1.0
  Y  Y6  1  0.999  0.501  0.249  1.0
  Y  Y7  1  0.033  0.967  0.500  1.0
  Y  Y8  1  0.784  0.283  0.217  1.0
  Y  Y9  1  0.717  0.216  0.783  1.0
  Y  Y10  1  0.250  0.249  0.033  1.0
  Y  Y11  1  0.751  0.750  0.967  1.0
  Y  Y12  1  0.533  0.467  0.500  1.0
  Y  Y13  1  0.967  0.033  1.000  1.0
  Y  Y14  1  0.218  0.719  0.282  1.0
  Y  Y15  1  0.281  0.782  0.718  1.0
  O  O16  1  0.031  0.729  0.761  1.0
  O  O17  1  0.470  0.774  0.021  1.0
  O  O18  1  0.271  0.969  0.239  1.0
  O  O19  1  0.226  0.530  0.979  1.0
  O  O20  1  0.740  0.957  0.022  1.0
  O  O21  1  0.043  0.260  0.978  1.0
  O  O22  1  0.457  0.239  0.782  1.0
  O  O23  1  0.761  0.543  0.218  1.0
  O  O24  1  0.228  0.987  0.795  1.0
  O  O25  1  0.487  0.728  0.490  1.0
  O  O26  1  0.272  0.513  0.510  1.0
  O  O27  1  0.013  0.772  0.205  1.0
  O  O28  1  0.965  0.273  0.742  1.0
  O  O29  1  0.535  0.228  0.480  1.0
  O  O30  1  0.727  0.035  0.258  1.0
  O  O31  1  0.772  0.465  0.520  1.0
  O  O32  1  0.262  0.040  0.478  1.0
  O  O33  1  0.960  0.738  0.522  1.0
  O  O34  1  0.539  0.765  0.719  1.0
  O  O35  1  0.235  0.461  0.281  1.0
  O  O36  1  0.771  0.010  0.708  1.0
  O  O37  1  0.511  0.267  0.011  1.0
  O  O38  1  0.733  0.489  0.989  1.0
  O  O39  1  0.990  0.229  0.292  1.0
[/CIF]
.
The structure described by Gd3Y13O24 is Spinel-like structured and crystallizes in the monoclinic C2 space group. There are two inequivalent Gd sites. In the first Gd site, Gd(1) is bonded to one O(10), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form distorted GdO6 octahedra that share  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra, corners with two equivalent Y(4)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and edges with two equivalent Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the second Gd site, Gd(2) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form distorted GdO6 octahedra that share corners with two equivalent Gd(1)O6 octahedra, corners with two equivalent Y(1)O6 octahedra, corners with two equivalent Y(4)O6 octahedra, edges with two equivalent Y(2)O6 octahedra, edges with two equivalent Y(5)O6 octahedra, and edges with two equivalent Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. There are eight inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(1), one O(12), one O(3), one O(6), one O(7), and one O(9) atom to form YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. In the second Y site, Y(2) is bonded to one O(10), one O(11), one O(2), one O(4), one O(5), and one O(8) atom to form YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the third Y site, Y(3) is bonded to two equivalent O(1), two equivalent O(11), and two equivalent O(9) atoms to form distorted YO6 octahedra that share corners with two equivalent Gd(1)O6 octahedra, corners with two equivalent Y(2)O6 octahedra, corners with two equivalent Y(4)O6 octahedra, edges with two equivalent Y(1)O6 octahedra, edges with two equivalent Y(5)O6 octahedra, and edges with two equivalent Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the fourth Y site, Y(4) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra, corners with two equivalent Gd(1)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and edges with two equivalent Y(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the fifth Y site, Y(5) is bonded to one O(1), one O(11), one O(12), one O(2), one O(3), and one O(4) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra, corners with two equivalent Y(8)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and edges with two equivalent Y(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the sixth Y site, Y(6) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form distorted YO6 octahedra that share corners with two equivalent Y(1)O6 octahedra, corners with two equivalent Y(5)O6 octahedra, corners with two equivalent Y(8)O6 octahedra, edges with two equivalent Gd(1)O6 octahedra, edges with two equivalent Y(2)O6 octahedra, and edges with two equivalent Y(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the seventh Y site, Y(7) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form distorted YO6 octahedra that share corners with two equivalent Y(2)O6 octahedra, corners with two equivalent Y(5)O6 octahedra, corners with two equivalent Y(8)O6 octahedra, edges with two equivalent Gd(1)O6 octahedra, edges with two equivalent Y(1)O6 octahedra, and edges with two equivalent Y(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the eighth Y site, Y(8) is bonded to one O(1), one O(10), one O(2), one O(5), one O(6), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra, corners with two equivalent Y(5)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and edges with two equivalent Gd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Y(1), one Y(3), one Y(5), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(2)GdY3 trigonal pyramids, corners with two equivalent O(6)GdY3 trigonal pyramids, corners with two equivalent O(3)Y4 trigonal pyramids,  an edgeedge with one O(12)GdY3 trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid, and edges with two equivalent O(9)GdY3 trigonal pyramids. In the second O site, O(2) is bonded to one Gd(2), one Y(2), one Y(5), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(5)GdY3 trigonal pyramids, corners with two equivalent O(1)Y4 trigonal pyramids, corners with two equivalent O(4)Y4 trigonal pyramids, edges with two equivalent O(10)Gd2Y2 tetrahedra,  an edgeedge with one O(12)GdY3 trigonal pyramid, and  an edgeedge with one O(11)Y4 trigonal pyramid. In the third O site, O(3) is bonded to one Y(1), one Y(4), one Y(5), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(5)GdY3 trigonal pyramids, corners with two equivalent O(1)Y4 trigonal pyramids, corners with two equivalent O(4)Y4 trigonal pyramids,  an edgeedge with one O(12)GdY3 trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid, and edges with two equivalent O(7)GdY3 trigonal pyramids. In the fourth O site, O(4) is bonded to one Y(2), one Y(4), one Y(5), and one Y(6) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(2)GdY3 trigonal pyramids, corners with two equivalent O(6)GdY3 trigonal pyramids, corners with two equivalent O(3)Y4 trigonal pyramids,  an edgeedge with one O(12)GdY3 trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid, and edges with two equivalent O(8)GdY3 trigonal pyramids. In the fifth O site, O(5) is bonded to one Gd(1), one Y(2), one Y(7), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(2)GdY3 trigonal pyramids, corners with two equivalent O(6)GdY3 trigonal pyramids, corners with two equivalent O(3)Y4 trigonal pyramids,  an edgeedge with one O(10)Gd2Y2 tetrahedra,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid, and  an edgeedge with one O(9)GdY3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Gd(1), one Y(1), one Y(6), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(5)GdY3 trigonal pyramids, corners with two equivalent O(1)Y4 trigonal pyramids, corners with two equivalent O(4)Y4 trigonal pyramids,  an edgeedge with one O(10)Gd2Y2 tetrahedra,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid, and  an edgeedge with one O(9)GdY3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Gd(1), one Y(1), one Y(4), and one Y(7) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(12)GdY3 trigonal pyramids, corners with two equivalent O(8)GdY3 trigonal pyramids, corners with two equivalent O(9)GdY3 trigonal pyramids,  an edgeedge with one O(5)GdY3 trigonal pyramid,  an edgeedge with one O(6)GdY3 trigonal pyramid, and edges with two equivalent O(3)Y4 trigonal pyramids. In the eighth O site, O(8) is bonded to one Gd(1), one Y(2), one Y(4), and one Y(6) atom to form OGdY3 trigonal pyramids that share corners with two equivalent O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(7)GdY3 trigonal pyramids, corners with two equivalent O(11)Y4 trigonal pyramids,  an edgeedge with one O(5)GdY3 trigonal pyramid,  an edgeedge with one O(6)GdY3 trigonal pyramid, and edges with two equivalent O(4)Y4 trigonal pyramids. In the ninth O site, O(9) is bonded to one Gd(1), one Y(1), one Y(3), and one Y(8) atom to form OGdY3 trigonal pyramids that share corners with two equivalent O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(7)GdY3 trigonal pyramids, corners with two equivalent O(11)Y4 trigonal pyramids,  an edgeedge with one O(5)GdY3 trigonal pyramid,  an edgeedge with one O(6)GdY3 trigonal pyramid, and edges with two equivalent O(1)Y4 trigonal pyramids. In the tenth O site, O(10) is bonded to one Gd(1), one Gd(2), one Y(2), and one Y(8) atom to form OGd2Y2 tetrahedra that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(12)GdY3 trigonal pyramids, corners with two equivalent O(8)GdY3 trigonal pyramids, corners with two equivalent O(9)GdY3 trigonal pyramids,  an edgeedge with one O(5)GdY3 trigonal pyramid,  an edgeedge with one O(6)GdY3 trigonal pyramid, and edges with two equivalent O(2)GdY3 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Y(2), one Y(3), one Y(4), and one Y(5) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(5)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid, corners with two equivalent O(12)GdY3 trigonal pyramids, corners with two equivalent O(8)GdY3 trigonal pyramids, corners with two equivalent O(9)GdY3 trigonal pyramids,  an edgeedge with one O(2)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid,  an edgeedge with one O(3)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Gd(2), one Y(1), one Y(4), and one Y(5) atom to form OGdY3 trigonal pyramids that share corners with two equivalent O(10)Gd2Y2 tetrahedra,  a cornercorner with one O(12)GdY3 trigonal pyramid,  a cornercorner with one O(2)GdY3 trigonal pyramid,  a cornercorner with one O(6)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid, corners with two equivalent O(7)GdY3 trigonal pyramids, corners with two equivalent O(11)Y4 trigonal pyramids,  an edgeedge with one O(2)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid,  an edgeedge with one O(3)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Gd3Y13O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.222
_cell_length_b   9.222
_cell_length_c   10.646
_cell_angle_alpha   54.695
_cell_angle_beta   54.695
_cell_angle_gamma   70.510
_symmetry_Int_Tables_number   1
_cell_volume   602.964
_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
  Gd  Gd0  1  0.750  0.750  0.468  1.0
  Gd  Gd1  1  0.250  0.250  0.532  1.0
  Gd  Gd2  1  0.468  0.532  0.000  1.0
  Y  Y3  1  0.002  0.500  0.750  1.0
  Y  Y4  1  0.499  0.001  0.751  1.0
  Y  Y5  1  0.500  0.998  0.250  1.0
  Y  Y6  1  0.999  0.501  0.249  1.0
  Y  Y7  1  0.033  0.967  0.500  1.0
  Y  Y8  1  0.784  0.283  0.217  1.0
  Y  Y9  1  0.717  0.216  0.783  1.0
  Y  Y10  1  0.250  0.249  0.033  1.0
  Y  Y11  1  0.751  0.750  0.967  1.0
  Y  Y12  1  0.533  0.467  0.500  1.0
  Y  Y13  1  0.967  0.033  1.000  1.0
  Y  Y14  1  0.218  0.719  0.282  1.0
  Y  Y15  1  0.281  0.782  0.718  1.0
  O  O16  1  0.031  0.729  0.761  1.0
  O  O17  1  0.470  0.774  0.021  1.0
  O  O18  1  0.271  0.969  0.239  1.0
  O  O19  1  0.226  0.530  0.979  1.0
  O  O20  1  0.740  0.957  0.022  1.0
  O  O21  1  0.043  0.260  0.978  1.0
  O  O22  1  0.457  0.239  0.782  1.0
  O  O23  1  0.761  0.543  0.218  1.0
  O  O24  1  0.228  0.987  0.795  1.0
  O  O25  1  0.487  0.728  0.490  1.0
  O  O26  1  0.272  0.513  0.510  1.0
  O  O27  1  0.013  0.772  0.205  1.0
  O  O28  1  0.965  0.273  0.742  1.0
  O  O29  1  0.535  0.228  0.480  1.0
  O  O30  1  0.727  0.035  0.258  1.0
  O  O31  1  0.772  0.465  0.520  1.0
  O  O32  1  0.262  0.040  0.478  1.0
  O  O33  1  0.960  0.738  0.522  1.0
  O  O34  1  0.539  0.765  0.719  1.0
  O  O35  1  0.235  0.461  0.281  1.0
  O  O36  1  0.771  0.010  0.708  1.0
  O  O37  1  0.511  0.267  0.011  1.0
  O  O38  1  0.733  0.489  0.989  1.0
  O  O39  1  0.990  0.229  0.292  1.0
[/CIF]
.