data_LiInGaBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.17
_cell_length_b   5.17
_cell_length_c   5.17
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   LiInGaBi
_chemical_formula_sum   'Li1 In1 Ga1 Bi1'
_cell_volume   97.93
_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
  Li  Li3  1  0.0  0.0  0.0  1.0
  In  In2  1  0.83  0.83  0.83  1.0
  Ga  Ga1  1  0.66  0.66  0.66  1.0
  Bi  Bi0  1  0.49  0.49  0.49  1.0

data_LiInGaBi
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.17
_cell_length_b   5.17
_cell_length_c   12.67
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   LiInGaBi
_chemical_formula_sum   'Li3 In3 Ga3 Bi3'
_cell_volume   293.8
_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
  Li  Li0  3  0.0  0.0  0.0  1.0
  In  In1  3  0.0  0.0  0.17  1.0
  Ga  Ga2  3  0.0  0.0  0.34  1.0
  Bi  Bi3  3  0.0  0.0  0.51  1.0

Li In Ga Bi
LiInGaBi crystallizes in the trigonal R3m space group. Li(1) is bonded to one In(1) and three equivalent Ga(1) atoms to form distorted LiInGa3 trigonal pyramids that share  a cornercorner with one Ga(1)Li3InBi trigonal bipyramid, corners with three equivalent In(1)LiGaBi3 trigonal bipyramids, corners with six equivalent Li(1)InGa3 trigonal pyramids, and edges with three equivalent Bi(1)In3Ga trigonal pyramids. The Li(1)-In(1) bond length is 2.16 Å. All Li(1)-Ga(1) bond lengths are 2.99 Å. In(1) is bonded to one Li(1), one Ga(1), and three equivalent Bi(1) atoms to form distorted InLiGaBi3 trigonal bipyramids that share corners with six equivalent In(1)LiGaBi3 trigonal bipyramids,  a cornercorner with one Bi(1)In3Ga trigonal pyramid, corners with three equivalent Li(1)InGa3 trigonal pyramids, and edges with three equivalent Ga(1)Li3InBi trigonal bipyramids. The In(1)-Ga(1) bond length is 2.16 Å. All In(1)-Bi(1) bond lengths are 2.99 Å. Ga(1) is bonded to three equivalent Li(1), one In(1), and one Bi(1) atom to form GaLi3InBi trigonal bipyramids that share corners with six equivalent Ga(1)Li3InBi trigonal bipyramids,  a cornercorner with one Li(1)InGa3 trigonal pyramid, corners with three equivalent Bi(1)In3Ga trigonal pyramids, and edges with three equivalent In(1)LiGaBi3 trigonal bipyramids. The Ga(1)-Bi(1) bond length is 2.16 Å. Bi(1) is bonded to three equivalent In(1) and one Ga(1) atom to form distorted BiIn3Ga trigonal pyramids that share  a cornercorner with one In(1)LiGaBi3 trigonal bipyramid, corners with three equivalent Ga(1)Li3InBi trigonal bipyramids, corners with six equivalent Bi(1)In3Ga trigonal pyramids, and edges with three equivalent Li(1)InGa3 trigonal pyramids.