data_LuMg2Pb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.2
_cell_length_b   5.2
_cell_length_c   5.2
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   LuMg2Pb
_chemical_formula_sum   'Lu1 Mg2 Pb1'
_cell_volume   99.57
_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
  Lu  Lu0  1  0.0  0.0  0.0  1.0
  Mg  Mg1  1  0.52  0.52  0.52  1.0
  Mg  Mg2  1  0.84  0.84  0.84  1.0
  Pb  Pb3  1  0.68  0.68  0.68  1.0

data_LuMg2Pb
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.2
_cell_length_b   5.2
_cell_length_c   12.74
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   LuMg2Pb
_chemical_formula_sum   'Lu3 Mg6 Pb3'
_cell_volume   298.71
_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
  Lu  Lu0  3  0.0  0.0  0.0  1.0
  Mg  Mg1  3  0.0  0.0  0.16  1.0
  Mg  Mg2  3  0.0  0.0  0.48  1.0
  Pb  Pb3  3  0.0  0.0  0.32  1.0

Lu Mg Mg Pb
Mg2LuPb crystallizes in the trigonal R3m space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a single-bond geometry to one Pb(1) atom. The Mg(1)-Pb(1) bond length is 2.05 Å. In the second Mg site, Mg(2) is bonded in a distorted single-bond geometry to one Lu(1) and one Pb(1) atom. The Mg(2)-Lu(1) bond length is 2.05 Å. The Mg(2)-Pb(1) bond length is 2.05 Å. Lu(1) is bonded to one Mg(2) and three equivalent Pb(1) atoms to form LuMgPb3 trigonal pyramids that share  a cornercorner with one Pb(1)Lu3Mg2 trigonal bipyramid and corners with six equivalent Lu(1)MgPb3 trigonal pyramids. All Lu(1)-Pb(1) bond lengths are 3.01 Å. Pb(1) is bonded to one Mg(1), one Mg(2), and three equivalent Lu(1) atoms to form distorted PbLu3Mg2 trigonal bipyramids that share corners with six equivalent Pb(1)Lu3Mg2 trigonal bipyramids and  a cornercorner with one Lu(1)MgPb3 trigonal pyramid.