data_Al2InBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.17
_cell_length_b   5.17
_cell_length_c   5.17
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Al2InBi
_chemical_formula_sum   'Al2 In1 Bi1'
_cell_volume   97.91
_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  0.83  0.83  0.83  1.0
  Al  Al1  1  0.0  0.0  0.0  1.0
  In  In3  1  0.66  0.66  0.66  1.0
  Bi  Bi2  1  0.49  0.49  0.49  1.0

data_Al2InBi
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.17
_cell_length_b   5.17
_cell_length_c   12.67
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   Al2InBi
_chemical_formula_sum   'Al6 In3 Bi3'
_cell_volume   293.73
_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
  Al  Al1  3  0.0  0.0  0.17  1.0
  In  In2  3  0.0  0.0  0.34  1.0
  Bi  Bi3  3  0.0  0.0  0.51  1.0

Al Al In Bi
InAl2Bi crystallizes in the trigonal R3m space group. In(1) is bonded to one Al(1), three equivalent Al(2), and one Bi(1) atom to form distorted InAl4Bi trigonal bipyramids that share corners with six equivalent In(1)Al4Bi trigonal bipyramids,  a cornercorner with one Al(2)AlIn3 trigonal pyramid, corners with three equivalent Bi(1)Al3In trigonal pyramids, and edges with three equivalent Al(1)AlInBi3 trigonal bipyramids. The In(1)-Al(1) bond length is 2.17 Å. All In(1)-Al(2) bond lengths are 2.99 Å. The In(1)-Bi(1) bond length is 2.17 Å. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to one In(1), one Al(2), and three equivalent Bi(1) atoms to form AlAlInBi3 trigonal bipyramids that share corners with six equivalent Al(1)AlInBi3 trigonal bipyramids,  a cornercorner with one Bi(1)Al3In trigonal pyramid, corners with three equivalent Al(2)AlIn3 trigonal pyramids, and edges with three equivalent In(1)Al4Bi trigonal bipyramids. The Al(1)-Al(2) bond length is 2.17 Å. All Al(1)-Bi(1) bond lengths are 2.99 Å. In the second Al site, Al(2) is bonded to three equivalent In(1) and one Al(1) atom to form AlAlIn3 trigonal pyramids that share  a cornercorner with one In(1)Al4Bi trigonal bipyramid, corners with three equivalent Al(1)AlInBi3 trigonal bipyramids, corners with six equivalent Al(2)AlIn3 trigonal pyramids, and edges with three equivalent Bi(1)Al3In trigonal pyramids. Bi(1) is bonded to one In(1) and three equivalent Al(1) atoms to form distorted BiAl3In trigonal pyramids that share  a cornercorner with one Al(1)AlInBi3 trigonal bipyramid, corners with three equivalent In(1)Al4Bi trigonal bipyramids, corners with six equivalent Bi(1)Al3In trigonal pyramids, and edges with three equivalent Al(2)AlIn3 trigonal pyramids.