data_Mg4ScBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.92
_cell_length_b   5.92
_cell_length_c   5.92
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Mg4ScBi
_chemical_formula_sum   'Mg4 Sc1 Bi1'
_cell_volume   146.42
_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  0.13  0.13  0.24  1.0
  Mg  Mg2  1  0.13  0.24  0.13  1.0
  Mg  Mg3  1  0.24  0.13  0.13  1.0
  Mg  Mg4  1  0.24  0.24  0.24  1.0
  Sc  Sc5  1  0.0  0.0  0.0  1.0
  Bi  Bi0  1  0.09  0.09  0.09  1.0

data_Mg4ScBi
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.92
_cell_length_b   5.92
_cell_length_c   14.49
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   Mg4ScBi
_chemical_formula_sum   'Mg12 Sc3 Bi3'
_cell_volume   439.26
_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  9  0.03  0.07  0.83  1.0
  Mg  Mg1  3  0.0  0.0  0.76  1.0
  Sc  Sc2  3  0.0  0.0  0.0  1.0
  Bi  Bi3  3  0.0  0.0  0.91  1.0

Mg Mg Mg Mg Sc Bi
Mg4ScBi crystallizes in the trigonal R3m space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 4-coordinate geometry to one Mg(2), two equivalent Mg(1), and one Bi(1) atom. The Mg(1)-Mg(2) bond length is 1.07 Å. Both Mg(1)-Mg(1) bond lengths are 0.62 Å. The Mg(1)-Bi(1) bond length is 1.13 Å. In the second Mg site, Mg(2) is bonded in a 6-coordinate geometry to three equivalent Mg(1) and three equivalent Sc(1) atoms. All Mg(2)-Sc(1) bond lengths are 3.70 Å. Sc(1) is bonded in a single-bond geometry to three equivalent Mg(2) and one Bi(1) atom. The Sc(1)-Bi(1) bond length is 1.33 Å. Bi(1) is bonded in a 4-coordinate geometry to three equivalent Mg(1) and one Sc(1) atom.