data_AlTlPbAu
_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   AlTlPbAu
_chemical_formula_sum   'Al1 Tl1 Pb1 Au1'
_cell_volume   97.48
_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
  Tl  Tl3  1  0.48  0.48  0.48  1.0
  Pb  Pb2  1  0.83  0.83  0.83  1.0
  Au  Au1  1  0.65  0.65  0.65  1.0

data_AlTlPbAu
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.17
_cell_length_b   5.17
_cell_length_c   12.65
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   AlTlPbAu
_chemical_formula_sum   'Al3 Tl3 Pb3 Au3'
_cell_volume   292.45
_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
  Tl  Tl1  3  0.0  0.0  0.52  1.0
  Pb  Pb2  3  0.0  0.0  0.17  1.0
  Au  Au3  3  0.0  0.0  0.35  1.0

Al Tl Pb Au
AuTlAlPb crystallizes in the trigonal R3m space group. Au(1) is bonded to one Tl(1), three equivalent Al(1), and one Pb(1) atom to form distorted AuAl3TlPb trigonal bipyramids that share corners with six equivalent Au(1)Al3TlPb trigonal bipyramids,  a cornercorner with one Al(1)PbAu3 trigonal pyramid, corners with three equivalent Tl(1)Pb3Au trigonal pyramids, and edges with three equivalent Pb(1)AlTl3Au trigonal bipyramids. The Au(1)-Tl(1) bond length is 2.20 Å. All Au(1)-Al(1) bond lengths are 2.99 Å. The Au(1)-Pb(1) bond length is 2.20 Å. Tl(1) is bonded to one Au(1) and three equivalent Pb(1) atoms to form distorted TlPb3Au trigonal pyramids that share  a cornercorner with one Pb(1)AlTl3Au trigonal bipyramid, corners with three equivalent Au(1)Al3TlPb trigonal bipyramids, corners with six equivalent Tl(1)Pb3Au trigonal pyramids, and edges with three equivalent Al(1)PbAu3 trigonal pyramids. All Tl(1)-Pb(1) bond lengths are 2.99 Å. Al(1) is bonded to three equivalent Au(1) and one Pb(1) atom to form AlPbAu3 trigonal pyramids that share  a cornercorner with one Au(1)Al3TlPb trigonal bipyramid, corners with three equivalent Pb(1)AlTl3Au trigonal bipyramids, corners with six equivalent Al(1)PbAu3 trigonal pyramids, and edges with three equivalent Tl(1)Pb3Au trigonal pyramids. The Al(1)-Pb(1) bond length is 2.20 Å. Pb(1) is bonded to one Au(1), three equivalent Tl(1), and one Al(1) atom to form distorted PbAlTl3Au trigonal bipyramids that share corners with six equivalent Pb(1)AlTl3Au trigonal bipyramids,  a cornercorner with one Tl(1)Pb3Au trigonal pyramid, corners with three equivalent Al(1)PbAu3 trigonal pyramids, and edges with three equivalent Au(1)Al3TlPb trigonal bipyramids.