The material structure described by LuAg4 crystallizes in the tetragonal I4/m space group. Lu(1) is bonded to twelve Ag(1,1) atoms to form LuAg12 cuboctahedra that share corners with twelve Ag(1,1)Lu3Ag9 cuboctahedra; edges with eight equivalent Lu(1)Ag12 cuboctahedra; edges with sixteen Ag(1,1)Lu3Ag9 cuboctahedra; faces with two equivalent Lu(1)Ag12 cuboctahedra; and faces with sixteen Ag(1,1)Lu3Ag9 cuboctahedra. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three equivalent Lu(1) and nine Ag(1,1) atoms to form distorted AgLu3Ag9 cuboctahedra that share corners with three equivalent Lu(1)Ag12 cuboctahedra; corners with nine equivalent Ag(1)Lu3Ag9 cuboctahedra; edges with four equivalent Lu(1)Ag12 cuboctahedra; edges with twenty Ag(1,1)Lu3Ag9 cuboctahedra; faces with four equivalent Lu(1)Ag12 cuboctahedra; and faces with fourteen Ag(1,1)Lu3Ag9 cuboctahedra. In the second Ag site, Ag(1) is bonded to three equivalent Lu(1) and nine Ag(1,1) atoms to form distorted AgLu3Ag9 cuboctahedra that share corners with three equivalent Lu(1)Ag12 cuboctahedra; corners with nine Ag(1,1)Lu3Ag9 cuboctahedra; edges with four equivalent Lu(1)Ag12 cuboctahedra; edges with twenty Ag(1,1)Lu3Ag9 cuboctahedra; faces with four equivalent Lu(1)Ag12 cuboctahedra; and faces with fourteen Ag(1,1)Lu3Ag9 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LuAg4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.169
_cell_length_b   5.157
_cell_length_c   5.157
_cell_angle_alpha   80.598
_cell_angle_beta   66.161
_cell_angle_gamma   66.161
_symmetry_Int_Tables_number   1
_cell_volume   92.756
_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
  Lu  Lu0  1  0.000  0.000  0.000  1.0
  Ag  Ag1  1  0.598  0.599  0.205  1.0
  Ag  Ag2  1  0.803  0.795  0.599  1.0
  Ag  Ag3  1  0.197  0.205  0.401  1.0
  Ag  Ag4  1  0.402  0.401  0.795  1.0
[/CIF]
.
The material structure described by LuAg4 crystallizes in the tetragonal I4/m space group. Lu(1) is bonded to twelve Ag(1,1) atoms to form LuAg12 cuboctahedra that share corners with twelve Ag(1,1)Lu3Ag9 cuboctahedra; edges with eight equivalent Lu(1)Ag12 cuboctahedra; edges with sixteen Ag(1,1)Lu3Ag9 cuboctahedra; faces with two equivalent Lu(1)Ag12 cuboctahedra; and faces with sixteen Ag(1,1)Lu3Ag9 cuboctahedra. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three equivalent Lu(1) and nine Ag(1,1) atoms to form distorted AgLu3Ag9 cuboctahedra that share corners with three equivalent Lu(1)Ag12 cuboctahedra; corners with nine equivalent Ag(1)Lu3Ag9 cuboctahedra; edges with four equivalent Lu(1)Ag12 cuboctahedra; edges with twenty Ag(1,1)Lu3Ag9 cuboctahedra; faces with four equivalent Lu(1)Ag12 cuboctahedra; and faces with fourteen Ag(1,1)Lu3Ag9 cuboctahedra. In the second Ag site, Ag(1) is bonded to three equivalent Lu(1) and nine Ag(1,1) atoms to form distorted AgLu3Ag9 cuboctahedra that share corners with three equivalent Lu(1)Ag12 cuboctahedra; corners with nine Ag(1,1)Lu3Ag9 cuboctahedra; edges with four equivalent Lu(1)Ag12 cuboctahedra; edges with twenty Ag(1,1)Lu3Ag9 cuboctahedra; faces with four equivalent Lu(1)Ag12 cuboctahedra; and faces with fourteen Ag(1,1)Lu3Ag9 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LuAg4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.169
_cell_length_b   5.157
_cell_length_c   5.157
_cell_angle_alpha   80.598
_cell_angle_beta   66.161
_cell_angle_gamma   66.161
_symmetry_Int_Tables_number   1
_cell_volume   92.756
_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
  Lu  Lu0  1  0.000  0.000  0.000  1.0
  Ag  Ag1  1  0.598  0.599  0.205  1.0
  Ag  Ag2  1  0.803  0.795  0.599  1.0
  Ag  Ag3  1  0.197  0.205  0.401  1.0
  Ag  Ag4  1  0.402  0.401  0.795  1.0
[/CIF]
.