data_LaHgRh
_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   LaHgRh
_chemical_formula_sum   'La1 Hg1 Rh1'
_cell_volume   85.93
_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
  La  La1  1  0.75  0.75  0.75  1.0
  Hg  Hg0  1  0.5  0.5  0.5  1.0
  Rh  Rh2  1  0.0  0.0  0.0  1.0

data_LaHgRh
_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   LaHgRh
_chemical_formula_sum   'La4 Hg4 Rh4'
_cell_volume   343.71
_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
  La  La0  4  0.25  0.25  0.25  1.0
  Hg  Hg1  4  0.0  0.0  0.5  1.0
  Rh  Rh2  4  0.0  0.0  0.0  1.0

La Hg Rh
LaRhHg is half-Heusler structured and crystallizes in the trigonal R3m space group. La(1) is bonded in a body-centered cubic geometry to four equivalent Rh(1) and four equivalent Hg(1) atoms. There is one shorter (3.02 Å) and three longer (3.04 Å) La(1)-Rh(1) bond lengths. There is one shorter (3.02 Å) and three longer (3.04 Å) La(1)-Hg(1) bond lengths. Rh(1) is bonded to four equivalent La(1) atoms to form RhLa4 tetrahedra that share corners with four equivalent Hg(1)La4 tetrahedra, corners with twelve equivalent Rh(1)La4 tetrahedra, and edges with six equivalent Hg(1)La4 tetrahedra. Hg(1) is bonded to four equivalent La(1) atoms to form HgLa4 tetrahedra that share corners with four equivalent Rh(1)La4 tetrahedra, corners with twelve equivalent Hg(1)La4 tetrahedra, and edges with six equivalent Rh(1)La4 tetrahedra.