data_AlCrBiPb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.22
_cell_length_b   5.22
_cell_length_c   5.22
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   AlCrBiPb
_chemical_formula_sum   'Al1 Cr1 Bi1 Pb1'
_cell_volume   100.41
_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
  Cr  Cr2  1  0.84  0.84  0.84  1.0
  Bi  Bi1  1  0.53  0.53  0.53  1.0
  Pb  Pb3  1  0.69  0.69  0.69  1.0

data_AlCrBiPb
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.22
_cell_length_b   5.22
_cell_length_c   12.78
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   AlCrBiPb
_chemical_formula_sum   'Al3 Cr3 Bi3 Pb3'
_cell_volume   301.22
_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
  Cr  Cr1  3  0.0  0.0  0.16  1.0
  Bi  Bi2  3  0.0  0.0  0.47  1.0
  Pb  Pb3  3  0.0  0.0  0.31  1.0

Al Cr Bi Pb
CrAlPbBi crystallizes in the trigonal R3m space group. Cr(1) is bonded in a 5-coordinate geometry to one Al(1), one Pb(1), and three equivalent Bi(1) atoms. The Cr(1)-Al(1) bond length is 1.99 Å. The Cr(1)-Pb(1) bond length is 1.99 Å. All Cr(1)-Bi(1) bond lengths are 3.03 Å. Al(1) is bonded to one Cr(1) and three equivalent Pb(1) atoms to form AlCrPb3 trigonal pyramids that share  a cornercorner with one Pb(1)Al3CrBi trigonal bipyramid and corners with six equivalent Al(1)CrPb3 trigonal pyramids. All Al(1)-Pb(1) bond lengths are 3.03 Å. Pb(1) is bonded to one Cr(1), three equivalent Al(1), and one Bi(1) atom to form distorted PbAl3CrBi trigonal bipyramids that share corners with six equivalent Pb(1)Al3CrBi trigonal bipyramids and  a cornercorner with one Al(1)CrPb3 trigonal pyramid. The Pb(1)-Bi(1) bond length is 1.99 Å. Bi(1) is bonded in a distorted single-bond geometry to three equivalent Cr(1) and one Pb(1) atom.