The compound described by LuGd3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. Lu(1) is bonded to twelve equivalent Gd(1) atoms to form LuGd12 cuboctahedra that share corners with six equivalent Lu(1)Gd12 cuboctahedra, corners with twelve equivalent Gd(1)Gd8Lu4 cuboctahedra, edges with eighteen equivalent Gd(1)Gd8Lu4 cuboctahedra, faces with eight equivalent Lu(1)Gd12 cuboctahedra, and faces with twelve equivalent Gd(1)Gd8Lu4 cuboctahedra. Gd(1) is bonded to four equivalent Lu(1) and eight equivalent Gd(1) atoms to form GdGd8Lu4 cuboctahedra that share corners with four equivalent Lu(1)Gd12 cuboctahedra, corners with fourteen equivalent Gd(1)Gd8Lu4 cuboctahedra, edges with six equivalent Lu(1)Gd12 cuboctahedra, edges with twelve equivalent Gd(1)Gd8Lu4 cuboctahedra, faces with four equivalent Lu(1)Gd12 cuboctahedra, and faces with sixteen equivalent Gd(1)Gd8Lu4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Gd3Lu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.150
_cell_length_b   7.150
_cell_length_c   5.712
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   252.936
_cell_formula_units_Z   2
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  0.832  0.168  0.750  1.0
  Gd  Gd1  1  0.336  0.168  0.750  1.0
  Gd  Gd2  1  0.832  0.664  0.750  1.0
  Gd  Gd3  1  0.168  0.832  0.250  1.0
  Gd  Gd4  1  0.664  0.832  0.250  1.0
  Gd  Gd5  1  0.168  0.336  0.250  1.0
  Lu  Lu6  1  0.667  0.333  0.250  1.0
  Lu  Lu7  1  0.333  0.667  0.750  1.0
[/CIF]
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The compound described by LuGd3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. Lu(1) is bonded to twelve equivalent Gd(1) atoms to form LuGd12 cuboctahedra that share corners with six equivalent Lu(1)Gd12 cuboctahedra, corners with twelve equivalent Gd(1)Gd8Lu4 cuboctahedra, edges with eighteen equivalent Gd(1)Gd8Lu4 cuboctahedra, faces with eight equivalent Lu(1)Gd12 cuboctahedra, and faces with twelve equivalent Gd(1)Gd8Lu4 cuboctahedra. Gd(1) is bonded to four equivalent Lu(1) and eight equivalent Gd(1) atoms to form GdGd8Lu4 cuboctahedra that share corners with four equivalent Lu(1)Gd12 cuboctahedra, corners with fourteen equivalent Gd(1)Gd8Lu4 cuboctahedra, edges with six equivalent Lu(1)Gd12 cuboctahedra, edges with twelve equivalent Gd(1)Gd8Lu4 cuboctahedra, faces with four equivalent Lu(1)Gd12 cuboctahedra, and faces with sixteen equivalent Gd(1)Gd8Lu4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Gd3Lu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.150
_cell_length_b   7.150
_cell_length_c   5.712
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   252.936
_cell_formula_units_Z   2
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  0.832  0.168  0.750  1.0
  Gd  Gd1  1  0.336  0.168  0.750  1.0
  Gd  Gd2  1  0.832  0.664  0.750  1.0
  Gd  Gd3  1  0.168  0.832  0.250  1.0
  Gd  Gd4  1  0.664  0.832  0.250  1.0
  Gd  Gd5  1  0.168  0.336  0.250  1.0
  Lu  Lu6  1  0.667  0.333  0.250  1.0
  Lu  Lu7  1  0.333  0.667  0.750  1.0
[/CIF]
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