data_AlGaHgPb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.16
_cell_length_b   5.16
_cell_length_c   5.16
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   AlGaHgPb
_chemical_formula_sum   'Al1 Ga1 Hg1 Pb1'
_cell_volume   97.36
_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
  Ga  Ga1  1  0.83  0.83  0.83  1.0
  Hg  Hg2  1  0.65  0.65  0.65  1.0
  Pb  Pb3  1  0.48  0.48  0.48  1.0

data_AlGaHgPb
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.16
_cell_length_b   5.16
_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   AlGaHgPb
_chemical_formula_sum   'Al3 Ga3 Hg3 Pb3'
_cell_volume   292.09
_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
  Ga  Ga1  3  0.0  0.0  0.17  1.0
  Hg  Hg2  3  0.0  0.0  0.35  1.0
  Pb  Pb3  3  0.0  0.0  0.52  1.0

Al Ga Hg Pb
HgGaAlPb crystallizes in the trigonal R3m space group. Hg(1) is bonded to one Ga(1), three equivalent Al(1), and one Pb(1) atom to form distorted HgAl3GaPb trigonal bipyramids that share corners with six equivalent Hg(1)Al3GaPb trigonal bipyramids,  a cornercorner with one Al(1)GaHg3 trigonal pyramid, corners with three equivalent Pb(1)Ga3Hg trigonal pyramids, and edges with three equivalent Ga(1)AlHgPb3 trigonal bipyramids. The Hg(1)-Ga(1) bond length is 2.20 Å. All Hg(1)-Al(1) bond lengths are 2.99 Å. The Hg(1)-Pb(1) bond length is 2.20 Å. Ga(1) is bonded to one Hg(1), one Al(1), and three equivalent Pb(1) atoms to form GaAlHgPb3 trigonal bipyramids that share corners with six equivalent Ga(1)AlHgPb3 trigonal bipyramids,  a cornercorner with one Pb(1)Ga3Hg trigonal pyramid, corners with three equivalent Al(1)GaHg3 trigonal pyramids, and edges with three equivalent Hg(1)Al3GaPb trigonal bipyramids. The Ga(1)-Al(1) bond length is 2.20 Å. All Ga(1)-Pb(1) bond lengths are 2.99 Å. Al(1) is bonded to three equivalent Hg(1) and one Ga(1) atom to form distorted AlGaHg3 trigonal pyramids that share  a cornercorner with one Hg(1)Al3GaPb trigonal bipyramid, corners with three equivalent Ga(1)AlHgPb3 trigonal bipyramids, corners with six equivalent Al(1)GaHg3 trigonal pyramids, and edges with three equivalent Pb(1)Ga3Hg trigonal pyramids. Pb(1) is bonded to one Hg(1) and three equivalent Ga(1) atoms to form distorted PbGa3Hg trigonal pyramids that share  a cornercorner with one Ga(1)AlHgPb3 trigonal bipyramid, corners with three equivalent Hg(1)Al3GaPb trigonal bipyramids, corners with six equivalent Pb(1)Ga3Hg trigonal pyramids, and edges with three equivalent Al(1)GaHg3 trigonal pyramids.