data_AlBi2Au
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.19
_cell_length_b   5.19
_cell_length_c   5.19
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   AlBi2Au
_chemical_formula_sum   'Al1 Bi2 Au1'
_cell_volume   99.06
_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
  Al  Al0  1  0.0  0.0  0.0  1.0
  Bi  Bi2  1  0.84  0.84  0.84  1.0
  Bi  Bi3  1  0.51  0.51  0.51  1.0
  Au  Au1  1  0.67  0.67  0.67  1.0

data_AlBi2Au
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.19
_cell_length_b   5.19
_cell_length_c   12.72
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   AlBi2Au
_chemical_formula_sum   'Al3 Bi6 Au3'
_cell_volume   297.19
_cell_formula_units_Z   3
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
  2  '-y, x-y, z'
  3  '-x+y, -x, z'
  4  '-y, -x, z'
  5  '-x+y, y, z'
  6  'x, x-y, z'
  7  'x+1/3, y+2/3, z+2/3'
  8  '-y+1/3, x-y+2/3, z+2/3'
  9  '-x+y+1/3, -x+2/3, z+2/3'
  10  '-y+1/3, -x+2/3, z+2/3'
  11  '-x+y+1/3, y+2/3, z+2/3'
  12  'x+1/3, x-y+2/3, z+2/3'
  13  'x+2/3, y+1/3, z+1/3'
  14  '-y+2/3, x-y+1/3, z+1/3'
  15  '-x+y+2/3, -x+1/3, z+1/3'
  16  '-y+2/3, -x+1/3, z+1/3'
  17  '-x+y+2/3, y+1/3, z+1/3'
  18  'x+2/3, x-y+1/3, z+1/3'
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
  Al  Al0  3  0.0  0.0  0.0  1.0
  Bi  Bi1  3  0.0  0.0  0.16  1.0
  Bi  Bi2  3  0.0  0.0  0.49  1.0
  Au  Au3  3  0.0  0.0  0.33  1.0

Al Bi Bi Au
AuAlBi2 crystallizes in the trigonal R3m space group. Au(1) is bonded to three equivalent Al(1), one Bi(1), and one Bi(2) atom to form distorted AuAl3Bi2 trigonal bipyramids that share corners with six equivalent Au(1)Al3Bi2 trigonal bipyramids and  a cornercorner with one Al(1)BiAu3 trigonal pyramid. All Au(1)-Al(1) bond lengths are 3.00 Å. The Au(1)-Bi(1) bond length is 2.08 Å. The Au(1)-Bi(2) bond length is 2.08 Å. Al(1) is bonded to three equivalent Au(1) and one Bi(1) atom to form AlBiAu3 trigonal pyramids that share  a cornercorner with one Au(1)Al3Bi2 trigonal bipyramid and corners with six equivalent Al(1)BiAu3 trigonal pyramids. The Al(1)-Bi(1) bond length is 2.08 Å. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a linear geometry to one Au(1) and one Al(1) atom. In the second Bi site, Bi(2) is bonded in a single-bond geometry to one Au(1) atom.