data_HfAlInPb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.15
_cell_length_b   5.15
_cell_length_c   5.15
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HfAlInPb
_chemical_formula_sum   'Hf1 Al1 In1 Pb1'
_cell_volume   96.64
_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
  Hf  Hf1  1  0.82  0.82  0.82  1.0
  Al  Al0  1  0.0  0.0  0.0  1.0
  In  In2  1  0.64  0.64  0.64  1.0
  Pb  Pb3  1  0.46  0.46  0.46  1.0

data_HfAlInPb
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.15
_cell_length_b   5.15
_cell_length_c   12.62
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   HfAlInPb
_chemical_formula_sum   'Hf3 Al3 In3 Pb3'
_cell_volume   289.93
_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
  Hf  Hf0  3  0.0  0.0  0.18  1.0
  Al  Al1  3  0.0  0.0  0.0  1.0
  In  In2  3  0.0  0.0  0.36  1.0
  Pb  Pb3  3  0.0  0.0  0.54  1.0

Hf Al In Pb
HfInAlPb crystallizes in the trigonal R3m space group. Hf(1) is bonded to one In(1), one Al(1), and three equivalent Pb(1) atoms to form distorted HfAlInPb3 trigonal bipyramids that share corners with six equivalent Hf(1)AlInPb3 trigonal bipyramids and  a cornercorner with one Pb(1)Hf3In trigonal pyramid. The Hf(1)-In(1) bond length is 2.26 Å. The Hf(1)-Al(1) bond length is 2.26 Å. All Hf(1)-Pb(1) bond lengths are 2.99 Å. In(1) is bonded in a distorted linear geometry to one Hf(1) and one Pb(1) atom. The In(1)-Pb(1) bond length is 2.26 Å. Al(1) is bonded in a distorted single-bond geometry to one Hf(1) atom. Pb(1) is bonded to three equivalent Hf(1) and one In(1) atom to form distorted PbHf3In trigonal pyramids that share  a cornercorner with one Hf(1)AlInPb3 trigonal bipyramid and corners with six equivalent Pb(1)Hf3In trigonal pyramids.