data_TlBiAu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.95
_cell_length_b   4.95
_cell_length_c   4.95
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   TlBiAu
_chemical_formula_sum   'Tl1 Bi1 Au1'
_cell_volume   85.8
_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
  Tl  Tl2  1  0.25  0.25  0.25  1.0
  Bi  Bi1  1  0.75  0.75  0.75  1.0
  Au  Au0  1  0.0  0.0  0.0  1.0

data_TlBiAu
_symmetry_space_group_name_H-M   F-43m
_cell_length_a   7.0
_cell_length_b   7.0
_cell_length_c   7.0
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   90.0
_symmetry_Int_Tables_number   216
_chemical_formula_structural   TlBiAu
_chemical_formula_sum   'Tl4 Bi4 Au4'
_cell_volume   343.2
_cell_formula_units_Z   4
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
  2  'y, -x, -z'
  3  '-x, -y, z'
  4  '-y, x, -z'
  5  'x, -y, -z'
  6  'y, x, z'
  7  '-x, y, -z'
  8  '-y, -x, z'
  9  'z, x, y'
  10  '-z, y, -x'
  11  'z, -x, -y'
  12  '-z, -y, x'
  13  '-z, x, -y'
  14  'z, y, x'
  15  '-z, -x, y'
  16  'z, -y, -x'
  17  'y, z, x'
  18  '-x, -z, y'
  19  '-y, z, -x'
  20  'x, -z, -y'
  21  '-y, -z, x'
  22  'x, z, y'
  23  'y, -z, -x'
  24  '-x, z, -y'
  25  'x+1/2, y+1/2, z'
  26  'y+1/2, -x+1/2, -z'
  27  '-x+1/2, -y+1/2, z'
  28  '-y+1/2, x+1/2, -z'
  29  'x+1/2, -y+1/2, -z'
  30  'y+1/2, x+1/2, z'
  31  '-x+1/2, y+1/2, -z'
  32  '-y+1/2, -x+1/2, z'
  33  'z+1/2, x+1/2, y'
  34  '-z+1/2, y+1/2, -x'
  35  'z+1/2, -x+1/2, -y'
  36  '-z+1/2, -y+1/2, x'
  37  '-z+1/2, x+1/2, -y'
  38  'z+1/2, y+1/2, x'
  39  '-z+1/2, -x+1/2, y'
  40  'z+1/2, -y+1/2, -x'
  41  'y+1/2, z+1/2, x'
  42  '-x+1/2, -z+1/2, y'
  43  '-y+1/2, z+1/2, -x'
  44  'x+1/2, -z+1/2, -y'
  45  '-y+1/2, -z+1/2, x'
  46  'x+1/2, z+1/2, y'
  47  'y+1/2, -z+1/2, -x'
  48  '-x+1/2, z+1/2, -y'
  49  'x+1/2, y, z+1/2'
  50  'y+1/2, -x, -z+1/2'
  51  '-x+1/2, -y, z+1/2'
  52  '-y+1/2, x, -z+1/2'
  53  'x+1/2, -y, -z+1/2'
  54  'y+1/2, x, z+1/2'
  55  '-x+1/2, y, -z+1/2'
  56  '-y+1/2, -x, z+1/2'
  57  'z+1/2, x, y+1/2'
  58  '-z+1/2, y, -x+1/2'
  59  'z+1/2, -x, -y+1/2'
  60  '-z+1/2, -y, x+1/2'
  61  '-z+1/2, x, -y+1/2'
  62  'z+1/2, y, x+1/2'
  63  '-z+1/2, -x, y+1/2'
  64  'z+1/2, -y, -x+1/2'
  65  'y+1/2, z, x+1/2'
  66  '-x+1/2, -z, y+1/2'
  67  '-y+1/2, z, -x+1/2'
  68  'x+1/2, -z, -y+1/2'
  69  '-y+1/2, -z, x+1/2'
  70  'x+1/2, z, y+1/2'
  71  'y+1/2, -z, -x+1/2'
  72  '-x+1/2, z, -y+1/2'
  73  'x, y+1/2, z+1/2'
  74  'y, -x+1/2, -z+1/2'
  75  '-x, -y+1/2, z+1/2'
  76  '-y, x+1/2, -z+1/2'
  77  'x, -y+1/2, -z+1/2'
  78  'y, x+1/2, z+1/2'
  79  '-x, y+1/2, -z+1/2'
  80  '-y, -x+1/2, z+1/2'
  81  'z, x+1/2, y+1/2'
  82  '-z, y+1/2, -x+1/2'
  83  'z, -x+1/2, -y+1/2'
  84  '-z, -y+1/2, x+1/2'
  85  '-z, x+1/2, -y+1/2'
  86  'z, y+1/2, x+1/2'
  87  '-z, -x+1/2, y+1/2'
  88  'z, -y+1/2, -x+1/2'
  89  'y, z+1/2, x+1/2'
  90  '-x, -z+1/2, y+1/2'
  91  '-y, z+1/2, -x+1/2'
  92  'x, -z+1/2, -y+1/2'
  93  '-y, -z+1/2, x+1/2'
  94  'x, z+1/2, y+1/2'
  95  'y, -z+1/2, -x+1/2'
  96  '-x, z+1/2, -y+1/2'
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
  Tl  Tl0  4  0.25  0.25  0.75  1.0
  Bi  Bi1  4  0.25  0.25  0.25  1.0
  Au  Au2  4  0.0  0.0  0.0  1.0

Tl Bi Au
AuTlBi is half-Heusler structured and crystallizes in the trigonal R3m space group. Au(1) is bonded in a body-centered cubic geometry to four equivalent Tl(1) and four equivalent Bi(1) atoms. There are three shorter (3.03 Å) and one longer (3.04 Å) Au(1)-Tl(1) bond length. All Au(1)-Bi(1) bond lengths are 3.03 Å. Tl(1) is bonded to four equivalent Au(1) and six equivalent Bi(1) atoms to form distorted TlBi6Au4 tetrahedra that share corners with four equivalent Bi(1)Tl6Au4 tetrahedra, corners with six equivalent Tl(1)Bi6Au4 tetrahedra, edges with six equivalent Bi(1)Tl6Au4 tetrahedra, and faces with twelve equivalent Tl(1)Bi6Au4 tetrahedra. There are three shorter (3.50 Å) and three longer (3.51 Å) Tl(1)-Bi(1) bond lengths. Bi(1) is bonded to four equivalent Au(1) and six equivalent Tl(1) atoms to form distorted BiTl6Au4 tetrahedra that share corners with four equivalent Tl(1)Bi6Au4 tetrahedra, corners with six equivalent Bi(1)Tl6Au4 tetrahedra, edges with six equivalent Tl(1)Bi6Au4 tetrahedra, and faces with twelve equivalent Bi(1)Tl6Au4 tetrahedra.