data_MgBiRh
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.6
_cell_length_b   4.6
_cell_length_c   4.6
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   MgBiRh
_chemical_formula_sum   'Mg1 Bi1 Rh1'
_cell_volume   68.81
_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  Mg1  1  0.0  0.0  0.0  1.0
  Bi  Bi0  1  0.63  0.63  0.63  1.0
  Rh  Rh2  1  0.25  0.25  0.25  1.0

data_MgBiRh
_symmetry_space_group_name_H-M   R3m
_cell_length_a   4.6
_cell_length_b   4.6
_cell_length_c   11.27
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   MgBiRh
_chemical_formula_sum   'Mg3 Bi3 Rh3'
_cell_volume   206.42
_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
  Bi  Bi1  3  0.0  0.0  0.37  1.0
  Rh  Rh2  3  0.0  0.0  0.75  1.0

Mg Bi Rh
MgRhBi is alpha boron-derived structured and crystallizes in the trigonal R3m space group. Mg(1) is bonded to four equivalent Rh(1) and three equivalent Bi(1) atoms to form distorted MgBi3Rh4 hexagonal pyramids that share corners with three equivalent Rh(1)Mg4Bi3 hexagonal pyramids, corners with six equivalent Mg(1)Bi3Rh4 hexagonal pyramids, edges with three equivalent Rh(1)Mg4Bi3 hexagonal pyramids, and edges with six equivalent Mg(1)Bi3Rh4 hexagonal pyramids. There are three shorter (2.81 Å) and one longer (2.84 Å) Mg(1)-Rh(1) bond length. All Mg(1)-Bi(1) bond lengths are 2.69 Å. Rh(1) is bonded to four equivalent Mg(1) and three equivalent Bi(1) atoms to form distorted RhMg4Bi3 hexagonal pyramids that share corners with three equivalent Mg(1)Bi3Rh4 hexagonal pyramids, corners with six equivalent Rh(1)Mg4Bi3 hexagonal pyramids, edges with three equivalent Mg(1)Bi3Rh4 hexagonal pyramids, and edges with six equivalent Rh(1)Mg4Bi3 hexagonal pyramids. All Rh(1)-Bi(1) bond lengths are 2.69 Å. Bi(1) is bonded in a hexagonal planar geometry to three equivalent Mg(1) and three equivalent Rh(1) atoms.