data_Hf2GaSn
_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   Hf2GaSn
_chemical_formula_sum   'Hf2 Ga1 Sn1'
_cell_volume   85.54
_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  0.5  0.5  0.5  1.0
  Hf  Hf2  1  0.25  0.25  0.25  1.0
  Ga  Ga0  1  0.0  0.0  0.0  1.0
  Sn  Sn3  1  0.75  0.75  0.75  1.0

data_Hf2GaSn
_symmetry_space_group_name_H-M   F-43m
_cell_length_a   6.99
_cell_length_b   6.99
_cell_length_c   6.99
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   90.0
_symmetry_Int_Tables_number   216
_chemical_formula_structural   Hf2GaSn
_chemical_formula_sum   'Hf8 Ga4 Sn4'
_cell_volume   342.16
_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
  Hf  Hf0  4  0.0  0.0  0.5  1.0
  Hf  Hf1  4  0.25  0.25  0.75  1.0
  Ga  Ga2  4  0.0  0.0  0.0  1.0
  Sn  Sn3  4  0.25  0.25  0.25  1.0

Hf Hf Ga Sn
Hf Hf Ga Sn 0 1 o o o 0 1 o o + 0 1 o + o 0 1 + o o 0 2 o o + 0 2 o + o 0 2 o + + 0 2 + o o 0 2 + o + 0 2 + + o 0 3 - o o 0 3 o - o 0 3 o o - 0 3 o o o 1 2 o o o 1 2 o o + 1 2 + o o 1 2 o + o 1 3 - - o 1 3 - o - 1 3 - o o 1 3 o - - 1 3 o - o 1 3 o o - 2 3 - - - 2 3 - - o 2 3 - o - 2 3 o - - 
Hf2GaSn crystallizes in the trigonal R3m space group. There are two inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to four equivalent Sn(1) atoms to form distorted HfSn4 tetrahedra that share corners with twelve equivalent Hf(2)Ga4Sn6 tetrahedra, corners with twelve equivalent Hf(1)Sn4 tetrahedra, and faces with four equivalent Hf(2)Ga4Sn6 tetrahedra. There are three shorter (3.02 Å) and one longer (3.05 Å) Hf(1)-Sn(1) bond length. In the second Hf site, Hf(2) is bonded to four equivalent Ga(1) and six equivalent Sn(1) atoms to form distorted HfGa4Sn6 tetrahedra that share corners with six equivalent Hf(2)Ga4Sn6 tetrahedra, corners with twelve equivalent Hf(1)Sn4 tetrahedra, faces with four equivalent Hf(1)Sn4 tetrahedra, and faces with twelve equivalent Hf(2)Ga4Sn6 tetrahedra. There is one shorter (2.98 Å) and three longer (3.05 Å) Hf(2)-Ga(1) bond lengths. There are three shorter (3.48 Å) and three longer (3.52 Å) Hf(2)-Sn(1) bond lengths. Ga(1) is bonded in a 8-coordinate geometry to four equivalent Hf(2) and four equivalent Sn(1) atoms. There are three shorter (3.02 Å) and one longer (3.05 Å) Ga(1)-Sn(1) bond length. Sn(1) is bonded in a 14-coordinate geometry to four equivalent Hf(1), six equivalent Hf(2), and four equivalent Ga(1) atoms.