data_MgSnBiAu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.21
_cell_length_b   5.21
_cell_length_c   5.21
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   MgSnBiAu
_chemical_formula_sum   'Mg1 Sn1 Bi1 Au1'
_cell_volume   99.93
_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
  Sn  Sn3  1  0.84  0.84  0.84  1.0
  Bi  Bi1  1  0.68  0.68  0.68  1.0
  Au  Au0  1  0.52  0.52  0.52  1.0

data_MgSnBiAu
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.21
_cell_length_b   5.21
_cell_length_c   12.76
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   MgSnBiAu
_chemical_formula_sum   'Mg3 Sn3 Bi3 Au3'
_cell_volume   299.79
_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
  Sn  Sn1  3  0.0  0.0  0.16  1.0
  Bi  Bi2  3  0.0  0.0  0.32  1.0
  Au  Au3  3  0.0  0.0  0.48  1.0

Mg Sn Bi Au
MgAuSnBi crystallizes in the trigonal R3m space group. Mg(1) is bonded to one Sn(1) and three equivalent Bi(1) atoms to form distorted MgSnBi3 trigonal pyramids that share  a cornercorner with one Bi(1)Mg3SnAu trigonal bipyramid, corners with three equivalent Sn(1)MgBiAu3 trigonal bipyramids, corners with six equivalent Mg(1)SnBi3 trigonal pyramids, and edges with three equivalent Au(1)Sn3Bi trigonal pyramids. The Mg(1)-Sn(1) bond length is 2.02 Å. All Mg(1)-Bi(1) bond lengths are 3.01 Å. Au(1) is bonded to three equivalent Sn(1) and one Bi(1) atom to form distorted AuSn3Bi trigonal pyramids that share  a cornercorner with one Sn(1)MgBiAu3 trigonal bipyramid, corners with three equivalent Bi(1)Mg3SnAu trigonal bipyramids, corners with six equivalent Au(1)Sn3Bi trigonal pyramids, and edges with three equivalent Mg(1)SnBi3 trigonal pyramids. All Au(1)-Sn(1) bond lengths are 3.01 Å. The Au(1)-Bi(1) bond length is 2.02 Å. Sn(1) is bonded to one Mg(1), three equivalent Au(1), and one Bi(1) atom to form distorted SnMgBiAu3 trigonal bipyramids that share corners with six equivalent Sn(1)MgBiAu3 trigonal bipyramids,  a cornercorner with one Au(1)Sn3Bi trigonal pyramid, corners with three equivalent Mg(1)SnBi3 trigonal pyramids, and edges with three equivalent Bi(1)Mg3SnAu trigonal bipyramids. The Sn(1)-Bi(1) bond length is 2.02 Å. Bi(1) is bonded to three equivalent Mg(1), one Au(1), and one Sn(1) atom to form distorted BiMg3SnAu trigonal bipyramids that share corners with six equivalent Bi(1)Mg3SnAu trigonal bipyramids,  a cornercorner with one Mg(1)SnBi3 trigonal pyramid, corners with three equivalent Au(1)Sn3Bi trigonal pyramids, and edges with three equivalent Sn(1)MgBiAu3 trigonal bipyramids.