The structure described by Lu is alpha Samarium structured and crystallizes in the trigonal R-3m space group. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to six equivalent Lu(1) and six equivalent Lu(2) atoms to form a mixture of face, edge, and corner-sharing LuLu12 cuboctahedra. In the second Lu site, Lu(2) is bonded to three equivalent Lu(1) and nine Lu(2,2) atoms to form a mixture of face, edge, and corner-sharing LuLu12 cuboctahedra. In the third Lu site, Lu(2) is bonded to three equivalent Lu(1) and nine Lu(2,2) atoms to form a mixture of face, edge, and corner-sharing LuLu12 cuboctahedra. In the fourth Lu site, Lu(2) is bonded to three equivalent Lu(1) and nine Lu(2,2) atoms to form a mixture of face, edge, and corner-sharing LuLu12 cuboctahedra. is represented by the CIF file [CIF]
data_Lu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.720
_cell_length_b   8.720
_cell_length_c   8.720
_cell_angle_alpha   23.030
_cell_angle_beta   23.030
_cell_angle_gamma   23.030
_symmetry_Int_Tables_number   1
_cell_volume   89.067
_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
  Lu  Lu0  1  0.000  0.000  0.000  1.0
  Lu  Lu1  1  0.222  0.222  0.222  1.0
  Lu  Lu2  1  0.778  0.778  0.778  1.0
[/CIF]
.
The structure described by Lu is alpha Samarium structured and crystallizes in the trigonal R-3m space group. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to six equivalent Lu(1) and six equivalent Lu(2) atoms to form a mixture of face, edge, and corner-sharing LuLu12 cuboctahedra. In the second Lu site, Lu(2) is bonded to three equivalent Lu(1) and nine Lu(2,2) atoms to form a mixture of face, edge, and corner-sharing LuLu12 cuboctahedra. In the third Lu site, Lu(2) is bonded to three equivalent Lu(1) and nine Lu(2,2) atoms to form a mixture of face, edge, and corner-sharing LuLu12 cuboctahedra. In the fourth Lu site, Lu(2) is bonded to three equivalent Lu(1) and nine Lu(2,2) atoms to form a mixture of face, edge, and corner-sharing LuLu12 cuboctahedra. is represented by the CIF file [CIF]
data_Lu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.720
_cell_length_b   8.720
_cell_length_c   8.720
_cell_angle_alpha   23.030
_cell_angle_beta   23.030
_cell_angle_gamma   23.030
_symmetry_Int_Tables_number   1
_cell_volume   89.067
_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
  Lu  Lu0  1  0.000  0.000  0.000  1.0
  Lu  Lu1  1  0.222  0.222  0.222  1.0
  Lu  Lu2  1  0.778  0.778  0.778  1.0
[/CIF]
.