The structure described by Bi3Lu5 crystallizes in the orthorhombic Pnma space group. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one Bi(1) and four equivalent Bi(2) atoms to form distorted LuBi5 square pyramids that share corners with five equivalent Lu(3)Bi6 octahedra,  an edgeedge with one Lu(3)Bi6 octahedra, edges with two equivalent Lu(1)Bi5 square pyramids, and  a faceface with one Lu(3)Bi6 octahedra. The corner-sharing octahedral tilt angles range from 35-45°. In the second Lu site, Lu(2) is bonded in a 5-coordinate geometry to one Bi(1) and four equivalent Bi(2) atoms. In the third Lu site, Lu(3) is bonded to two equivalent Bi(1) and four equivalent Bi(2) atoms to form distorted LuBi6 octahedra that share corners with five equivalent Lu(1)Bi5 square pyramids,  an edgeedge with one Lu(1)Bi5 square pyramid, faces with two equivalent Lu(3)Bi6 octahedra, and  a faceface with one Lu(1)Bi5 square pyramid. In the fourth Lu site, Lu(4) is bonded in a 5-coordinate geometry to two equivalent Bi(1) and three equivalent Bi(2) atoms. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), two equivalent Lu(3), and four equivalent Lu(4) atoms. In the second Bi site, Bi(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), two equivalent Lu(2), two equivalent Lu(3), and three equivalent Lu(4) atoms. is represented by the CIF card [CIF]
data_Lu5Bi3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.061
_cell_length_b   9.285
_cell_length_c   11.729
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   877.760
_cell_formula_units_Z   4
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  0.022  0.250  0.511  1.0
  Lu  Lu1  1  0.978  0.750  0.489  1.0
  Lu  Lu2  1  0.478  0.750  0.011  1.0
  Lu  Lu3  1  0.522  0.250  0.989  1.0
  Lu  Lu4  1  0.356  0.250  0.283  1.0
  Lu  Lu5  1  0.644  0.750  0.717  1.0
  Lu  Lu6  1  0.144  0.750  0.783  1.0
  Lu  Lu7  1  0.856  0.250  0.217  1.0
  Lu  Lu8  1  0.186  0.250  0.785  1.0
  Lu  Lu9  1  0.814  0.750  0.215  1.0
  Lu  Lu10  1  0.314  0.750  0.285  1.0
  Lu  Lu11  1  0.686  0.250  0.715  1.0
  Lu  Lu12  1  0.192  0.068  0.060  1.0
  Lu  Lu13  1  0.808  0.932  0.940  1.0
  Lu  Lu14  1  0.308  0.932  0.560  1.0
  Lu  Lu15  1  0.808  0.568  0.940  1.0
  Lu  Lu16  1  0.692  0.068  0.440  1.0
  Lu  Lu17  1  0.192  0.432  0.060  1.0
  Lu  Lu18  1  0.692  0.432  0.440  1.0
  Lu  Lu19  1  0.308  0.568  0.560  1.0
  Bi  Bi20  1  0.402  0.250  0.542  1.0
  Bi  Bi21  1  0.598  0.750  0.458  1.0
  Bi  Bi22  1  0.098  0.750  0.042  1.0
  Bi  Bi23  1  0.902  0.250  0.958  1.0
  Bi  Bi24  1  0.065  0.004  0.325  1.0
  Bi  Bi25  1  0.935  0.996  0.675  1.0
  Bi  Bi26  1  0.435  0.996  0.825  1.0
  Bi  Bi27  1  0.935  0.504  0.675  1.0
  Bi  Bi28  1  0.565  0.004  0.175  1.0
  Bi  Bi29  1  0.065  0.496  0.325  1.0
  Bi  Bi30  1  0.565  0.496  0.175  1.0
  Bi  Bi31  1  0.435  0.504  0.825  1.0
[/CIF]
.
The structure described by Bi3Lu5 crystallizes in the orthorhombic Pnma space group. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one Bi(1) and four equivalent Bi(2) atoms to form distorted LuBi5 square pyramids that share corners with five equivalent Lu(3)Bi6 octahedra,  an edgeedge with one Lu(3)Bi6 octahedra, edges with two equivalent Lu(1)Bi5 square pyramids, and  a faceface with one Lu(3)Bi6 octahedra. The corner-sharing octahedral tilt angles range from 35-45°. In the second Lu site, Lu(2) is bonded in a 5-coordinate geometry to one Bi(1) and four equivalent Bi(2) atoms. In the third Lu site, Lu(3) is bonded to two equivalent Bi(1) and four equivalent Bi(2) atoms to form distorted LuBi6 octahedra that share corners with five equivalent Lu(1)Bi5 square pyramids,  an edgeedge with one Lu(1)Bi5 square pyramid, faces with two equivalent Lu(3)Bi6 octahedra, and  a faceface with one Lu(1)Bi5 square pyramid. In the fourth Lu site, Lu(4) is bonded in a 5-coordinate geometry to two equivalent Bi(1) and three equivalent Bi(2) atoms. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), two equivalent Lu(3), and four equivalent Lu(4) atoms. In the second Bi site, Bi(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), two equivalent Lu(2), two equivalent Lu(3), and three equivalent Lu(4) atoms. is represented by the CIF card [CIF]
data_Lu5Bi3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.061
_cell_length_b   9.285
_cell_length_c   11.729
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   877.760
_cell_formula_units_Z   4
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  0.022  0.250  0.511  1.0
  Lu  Lu1  1  0.978  0.750  0.489  1.0
  Lu  Lu2  1  0.478  0.750  0.011  1.0
  Lu  Lu3  1  0.522  0.250  0.989  1.0
  Lu  Lu4  1  0.356  0.250  0.283  1.0
  Lu  Lu5  1  0.644  0.750  0.717  1.0
  Lu  Lu6  1  0.144  0.750  0.783  1.0
  Lu  Lu7  1  0.856  0.250  0.217  1.0
  Lu  Lu8  1  0.186  0.250  0.785  1.0
  Lu  Lu9  1  0.814  0.750  0.215  1.0
  Lu  Lu10  1  0.314  0.750  0.285  1.0
  Lu  Lu11  1  0.686  0.250  0.715  1.0
  Lu  Lu12  1  0.192  0.068  0.060  1.0
  Lu  Lu13  1  0.808  0.932  0.940  1.0
  Lu  Lu14  1  0.308  0.932  0.560  1.0
  Lu  Lu15  1  0.808  0.568  0.940  1.0
  Lu  Lu16  1  0.692  0.068  0.440  1.0
  Lu  Lu17  1  0.192  0.432  0.060  1.0
  Lu  Lu18  1  0.692  0.432  0.440  1.0
  Lu  Lu19  1  0.308  0.568  0.560  1.0
  Bi  Bi20  1  0.402  0.250  0.542  1.0
  Bi  Bi21  1  0.598  0.750  0.458  1.0
  Bi  Bi22  1  0.098  0.750  0.042  1.0
  Bi  Bi23  1  0.902  0.250  0.958  1.0
  Bi  Bi24  1  0.065  0.004  0.325  1.0
  Bi  Bi25  1  0.935  0.996  0.675  1.0
  Bi  Bi26  1  0.435  0.996  0.825  1.0
  Bi  Bi27  1  0.935  0.504  0.675  1.0
  Bi  Bi28  1  0.565  0.004  0.175  1.0
  Bi  Bi29  1  0.065  0.496  0.325  1.0
  Bi  Bi30  1  0.565  0.496  0.175  1.0
  Bi  Bi31  1  0.435  0.504  0.825  1.0
[/CIF]
.