The structure described by LaY is beta-derived structured and crystallizes in the trigonal R3m space group. There are three inequivalent La sites. In the first La site, La(1) is bonded to three equivalent La(3), six equivalent La(1), and three equivalent Y(3) atoms to form LaLa9Y3 cuboctahedra that share corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(1)La3Y9 cuboctahedra, corners with six equivalent Y(2)La6Y6 cuboctahedra, edges with six equivalent La(1)La9Y3 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(3)La3Y9 cuboctahedra,  a faceface with one Y(1)La3Y9 cuboctahedra,  a faceface with one Y(2)La6Y6 cuboctahedra, faces with six equivalent La(1)La9Y3 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(3)La3Y9 cuboctahedra. In the second La site, La(2) is bonded to six equivalent La(2), three equivalent Y(1), and three equivalent Y(2) atoms to form LaLa6Y6 cuboctahedra that share corners with six equivalent La(2)La6Y6 cuboctahedra, corners with six equivalent La(3)La9Y3 cuboctahedra, corners with six equivalent Y(3)La3Y9 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(3)La9Y3 cuboctahedra,  a faceface with one Y(3)La3Y9 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent Y(1)La3Y9 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. In the third La site, La(3) is bonded to three equivalent La(1), six equivalent La(3), and three equivalent Y(2) atoms to form LaLa9Y3 cuboctahedra that share corners with three equivalent Y(3)La3Y9 cuboctahedra, corners with six equivalent La(2)La6Y6 cuboctahedra, corners with six equivalent La(3)La9Y3 cuboctahedra, edges with three equivalent Y(3)La3Y9 cuboctahedra, edges with six equivalent La(1)La9Y3 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(2)La6Y6 cuboctahedra, faces with six equivalent La(1)La9Y3 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. There are five inequivalent Y sites. In the first Y site, Y(1) is bonded to three equivalent La(2), three equivalent Y(3), and six equivalent Y(1) atoms to form YLa3Y9 cuboctahedra that share corners with three equivalent Y(2)La6Y6 cuboctahedra, corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(1)La3Y9 cuboctahedra, edges with three equivalent Y(2)La6Y6 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent Y(3)La3Y9 cuboctahedra,  a faceface with one La(1)La9Y3 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent Y(1)La3Y9 cuboctahedra, and faces with six equivalent Y(3)La3Y9 cuboctahedra. In the second Y site, Y(2) is bonded to three equivalent La(2), three equivalent La(3), and six equivalent Y(2) atoms to form YLa6Y6 cuboctahedra that share corners with three equivalent Y(1)La3Y9 cuboctahedra, corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(2)La6Y6 cuboctahedra, edges with three equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(1)La9Y3 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. In the third Y site, Y(3) is bonded to three equivalent La(1), three equivalent Y(1), and six equivalent Y(3) atoms to form YLa3Y9 cuboctahedra that share corners with three equivalent La(3)La9Y3 cuboctahedra, corners with six equivalent La(2)La6Y6 cuboctahedra, corners with six equivalent Y(3)La3Y9 cuboctahedra, edges with three equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent La(1)La9Y3 cuboctahedra, edges with six equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent Y(3)La3Y9 cuboctahedra,  a faceface with one La(2)La6Y6 cuboctahedra, faces with six equivalent La(1)La9Y3 cuboctahedra, faces with six equivalent Y(1)La3Y9 cuboctahedra, and faces with six equivalent Y(3)La3Y9 cuboctahedra. In the fourth Y site, Y(2) is bonded to three equivalent La(2), three equivalent La(3), and six equivalent Y(2) atoms to form YLa6Y6 cuboctahedra that share corners with three equivalent Y(1)La3Y9 cuboctahedra, corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(2)La6Y6 cuboctahedra, edges with three equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(1)La9Y3 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. In the fifth Y site, Y(2) is bonded to three equivalent La(2), three equivalent La(3), and six equivalent Y(2) atoms to form YLa6Y6 cuboctahedra that share corners with three equivalent Y(1)La3Y9 cuboctahedra, corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(2)La6Y6 cuboctahedra, edges with three equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(1)La9Y3 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. is represented by the CIF card [CIF]
data_LaY
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.716
_cell_length_b   3.715
_cell_length_c   18.068
_cell_angle_alpha   84.115
_cell_angle_beta   90.000
_cell_angle_gamma   120.005
_symmetry_Int_Tables_number   1
_cell_volume   214.496
_cell_formula_units_Z   3
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  0.002  0.003  0.995  1.0
  La  La1  1  0.500  0.999  0.502  1.0
  La  La2  1  0.610  0.221  0.169  1.0
  Y  Y3  1  0.110  0.220  0.669  1.0
  Y  Y4  1  0.888  0.776  0.336  1.0
  Y  Y5  1  0.391  0.781  0.829  1.0
[/CIF]
.
The structure described by LaY is beta-derived structured and crystallizes in the trigonal R3m space group. There are three inequivalent La sites. In the first La site, La(1) is bonded to three equivalent La(3), six equivalent La(1), and three equivalent Y(3) atoms to form LaLa9Y3 cuboctahedra that share corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(1)La3Y9 cuboctahedra, corners with six equivalent Y(2)La6Y6 cuboctahedra, edges with six equivalent La(1)La9Y3 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(3)La3Y9 cuboctahedra,  a faceface with one Y(1)La3Y9 cuboctahedra,  a faceface with one Y(2)La6Y6 cuboctahedra, faces with six equivalent La(1)La9Y3 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(3)La3Y9 cuboctahedra. In the second La site, La(2) is bonded to six equivalent La(2), three equivalent Y(1), and three equivalent Y(2) atoms to form LaLa6Y6 cuboctahedra that share corners with six equivalent La(2)La6Y6 cuboctahedra, corners with six equivalent La(3)La9Y3 cuboctahedra, corners with six equivalent Y(3)La3Y9 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(3)La9Y3 cuboctahedra,  a faceface with one Y(3)La3Y9 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent Y(1)La3Y9 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. In the third La site, La(3) is bonded to three equivalent La(1), six equivalent La(3), and three equivalent Y(2) atoms to form LaLa9Y3 cuboctahedra that share corners with three equivalent Y(3)La3Y9 cuboctahedra, corners with six equivalent La(2)La6Y6 cuboctahedra, corners with six equivalent La(3)La9Y3 cuboctahedra, edges with three equivalent Y(3)La3Y9 cuboctahedra, edges with six equivalent La(1)La9Y3 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(2)La6Y6 cuboctahedra, faces with six equivalent La(1)La9Y3 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. There are five inequivalent Y sites. In the first Y site, Y(1) is bonded to three equivalent La(2), three equivalent Y(3), and six equivalent Y(1) atoms to form YLa3Y9 cuboctahedra that share corners with three equivalent Y(2)La6Y6 cuboctahedra, corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(1)La3Y9 cuboctahedra, edges with three equivalent Y(2)La6Y6 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent Y(3)La3Y9 cuboctahedra,  a faceface with one La(1)La9Y3 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent Y(1)La3Y9 cuboctahedra, and faces with six equivalent Y(3)La3Y9 cuboctahedra. In the second Y site, Y(2) is bonded to three equivalent La(2), three equivalent La(3), and six equivalent Y(2) atoms to form YLa6Y6 cuboctahedra that share corners with three equivalent Y(1)La3Y9 cuboctahedra, corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(2)La6Y6 cuboctahedra, edges with three equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(1)La9Y3 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. In the third Y site, Y(3) is bonded to three equivalent La(1), three equivalent Y(1), and six equivalent Y(3) atoms to form YLa3Y9 cuboctahedra that share corners with three equivalent La(3)La9Y3 cuboctahedra, corners with six equivalent La(2)La6Y6 cuboctahedra, corners with six equivalent Y(3)La3Y9 cuboctahedra, edges with three equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent La(1)La9Y3 cuboctahedra, edges with six equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent Y(3)La3Y9 cuboctahedra,  a faceface with one La(2)La6Y6 cuboctahedra, faces with six equivalent La(1)La9Y3 cuboctahedra, faces with six equivalent Y(1)La3Y9 cuboctahedra, and faces with six equivalent Y(3)La3Y9 cuboctahedra. In the fourth Y site, Y(2) is bonded to three equivalent La(2), three equivalent La(3), and six equivalent Y(2) atoms to form YLa6Y6 cuboctahedra that share corners with three equivalent Y(1)La3Y9 cuboctahedra, corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(2)La6Y6 cuboctahedra, edges with three equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(1)La9Y3 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. In the fifth Y site, Y(2) is bonded to three equivalent La(2), three equivalent La(3), and six equivalent Y(2) atoms to form YLa6Y6 cuboctahedra that share corners with three equivalent Y(1)La3Y9 cuboctahedra, corners with six equivalent La(1)La9Y3 cuboctahedra, corners with six equivalent Y(2)La6Y6 cuboctahedra, edges with three equivalent Y(1)La3Y9 cuboctahedra, edges with six equivalent La(2)La6Y6 cuboctahedra, edges with six equivalent La(3)La9Y3 cuboctahedra, edges with six equivalent Y(2)La6Y6 cuboctahedra,  a faceface with one La(1)La9Y3 cuboctahedra, faces with six equivalent La(2)La6Y6 cuboctahedra, faces with six equivalent La(3)La9Y3 cuboctahedra, and faces with six equivalent Y(2)La6Y6 cuboctahedra. is represented by the CIF card [CIF]
data_LaY
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.716
_cell_length_b   3.715
_cell_length_c   18.068
_cell_angle_alpha   84.115
_cell_angle_beta   90.000
_cell_angle_gamma   120.005
_symmetry_Int_Tables_number   1
_cell_volume   214.496
_cell_formula_units_Z   3
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  0.002  0.003  0.995  1.0
  La  La1  1  0.500  0.999  0.502  1.0
  La  La2  1  0.610  0.221  0.169  1.0
  Y  Y3  1  0.110  0.220  0.669  1.0
  Y  Y4  1  0.888  0.776  0.336  1.0
  Y  Y5  1  0.391  0.781  0.829  1.0
[/CIF]
.