data_MgZnHgBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.19
_cell_length_b   5.19
_cell_length_c   5.19
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   MgZnHgBi
_chemical_formula_sum   'Mg1 Zn1 Hg1 Bi1'
_cell_volume   99.04
_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
  Mg  Mg2  1  0.0  0.0  0.0  1.0
  Zn  Zn3  1  0.84  0.84  0.84  1.0
  Hg  Hg1  1  0.67  0.67  0.67  1.0
  Bi  Bi0  1  0.51  0.51  0.51  1.0

data_MgZnHgBi
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.19
_cell_length_b   5.19
_cell_length_c   12.72
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   MgZnHgBi
_chemical_formula_sum   'Mg3 Zn3 Hg3 Bi3'
_cell_volume   297.11
_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
  Mg  Mg0  3  0.0  0.0  0.0  1.0
  Zn  Zn1  3  0.0  0.0  0.16  1.0
  Hg  Hg2  3  0.0  0.0  0.33  1.0
  Bi  Bi3  3  0.0  0.0  0.49  1.0

Mg Zn Hg Bi
MgHgZnBi crystallizes in the trigonal R3m space group. Mg(1) is bonded to three equivalent Hg(1) and one Zn(1) atom to form MgZnHg3 trigonal pyramids that share  a cornercorner with one Hg(1)Mg3ZnBi trigonal bipyramid, corners with three equivalent Zn(1)MgHgBi3 trigonal bipyramids, corners with six equivalent Mg(1)ZnHg3 trigonal pyramids, and edges with three equivalent Bi(1)Zn3Hg trigonal pyramids. All Mg(1)-Hg(1) bond lengths are 3.00 Å. The Mg(1)-Zn(1) bond length is 2.09 Å. Hg(1) is bonded to three equivalent Mg(1), one Zn(1), and one Bi(1) atom to form distorted HgMg3ZnBi trigonal bipyramids that share corners with six equivalent Hg(1)Mg3ZnBi trigonal bipyramids,  a cornercorner with one Mg(1)ZnHg3 trigonal pyramid, corners with three equivalent Bi(1)Zn3Hg trigonal pyramids, and edges with three equivalent Zn(1)MgHgBi3 trigonal bipyramids. The Hg(1)-Zn(1) bond length is 2.09 Å. The Hg(1)-Bi(1) bond length is 2.09 Å. Zn(1) is bonded to one Mg(1), one Hg(1), and three equivalent Bi(1) atoms to form distorted ZnMgHgBi3 trigonal bipyramids that share corners with six equivalent Zn(1)MgHgBi3 trigonal bipyramids,  a cornercorner with one Bi(1)Zn3Hg trigonal pyramid, corners with three equivalent Mg(1)ZnHg3 trigonal pyramids, and edges with three equivalent Hg(1)Mg3ZnBi trigonal bipyramids. All Zn(1)-Bi(1) bond lengths are 3.00 Å. Bi(1) is bonded to one Hg(1) and three equivalent Zn(1) atoms to form BiZn3Hg trigonal pyramids that share  a cornercorner with one Zn(1)MgHgBi3 trigonal bipyramid, corners with three equivalent Hg(1)Mg3ZnBi trigonal bipyramids, corners with six equivalent Bi(1)Zn3Hg trigonal pyramids, and edges with three equivalent Mg(1)ZnHg3 trigonal pyramids.