The structure described by Mg6LaBi crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent La(1), and two equivalent Bi(1) atoms to form MgLa2Mg8Bi2 cuboctahedra that share corners with four equivalent La(1)Mg10Bi2 cuboctahedra, corners with four equivalent Bi(1)La2Mg10 cuboctahedra, corners with ten equivalent Mg(1)La2Mg8Bi2 cuboctahedra, edges with two equivalent Mg(1)La2Mg8Bi2 cuboctahedra, edges with two equivalent La(1)Mg10Bi2 cuboctahedra, edges with two equivalent Bi(1)La2Mg10 cuboctahedra, faces with two equivalent La(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to one Mg(3), one Mg(4), two equivalent Mg(1), two equivalent Mg(2), two equivalent La(1), and two equivalent Bi(1) atoms. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), and two equivalent La(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 10-coordinate geometry to two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(1), and two equivalent Bi(1) atoms. La(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Bi(1) atoms to form distorted LaMg10Bi2 cuboctahedra that share corners with four equivalent Bi(1)La2Mg10 cuboctahedra, corners with six equivalent La(1)Mg10Bi2 cuboctahedra, corners with eight equivalent Mg(1)La2Mg8Bi2 cuboctahedra, edges with two equivalent Bi(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra, faces with two equivalent La(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra. Bi(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms to form distorted BiLa2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg10Bi2 cuboctahedra, corners with six equivalent Bi(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(1)La2Mg8Bi2 cuboctahedra, edges with two equivalent La(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra, faces with two equivalent La(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LaMg6Bi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.038
_cell_length_b   7.038
_cell_length_c   5.335
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   126.177
_symmetry_Int_Tables_number   1
_cell_volume   213.315
_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  La0  1  0.823  0.177  0.500  1.0
  Mg  Mg1  1  0.330  0.172  0.500  1.0
  Mg  Mg2  1  0.828  0.670  0.500  1.0
  Mg  Mg3  1  0.183  0.317  0.000  1.0
  Mg  Mg4  1  0.683  0.817  0.000  1.0
  Mg  Mg5  1  0.655  0.345  0.000  1.0
  Mg  Mg6  1  0.165  0.835  0.000  1.0
  Bi  Bi7  1  0.333  0.667  0.500  1.0
[/CIF]
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The structure described by Mg6LaBi crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent La(1), and two equivalent Bi(1) atoms to form MgLa2Mg8Bi2 cuboctahedra that share corners with four equivalent La(1)Mg10Bi2 cuboctahedra, corners with four equivalent Bi(1)La2Mg10 cuboctahedra, corners with ten equivalent Mg(1)La2Mg8Bi2 cuboctahedra, edges with two equivalent Mg(1)La2Mg8Bi2 cuboctahedra, edges with two equivalent La(1)Mg10Bi2 cuboctahedra, edges with two equivalent Bi(1)La2Mg10 cuboctahedra, faces with two equivalent La(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to one Mg(3), one Mg(4), two equivalent Mg(1), two equivalent Mg(2), two equivalent La(1), and two equivalent Bi(1) atoms. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), and two equivalent La(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 10-coordinate geometry to two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(1), and two equivalent Bi(1) atoms. La(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Bi(1) atoms to form distorted LaMg10Bi2 cuboctahedra that share corners with four equivalent Bi(1)La2Mg10 cuboctahedra, corners with six equivalent La(1)Mg10Bi2 cuboctahedra, corners with eight equivalent Mg(1)La2Mg8Bi2 cuboctahedra, edges with two equivalent Bi(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra, faces with two equivalent La(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra. Bi(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms to form distorted BiLa2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg10Bi2 cuboctahedra, corners with six equivalent Bi(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(1)La2Mg8Bi2 cuboctahedra, edges with two equivalent La(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra, faces with two equivalent La(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Bi2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LaMg6Bi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.038
_cell_length_b   7.038
_cell_length_c   5.335
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   126.177
_symmetry_Int_Tables_number   1
_cell_volume   213.315
_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  La0  1  0.823  0.177  0.500  1.0
  Mg  Mg1  1  0.330  0.172  0.500  1.0
  Mg  Mg2  1  0.828  0.670  0.500  1.0
  Mg  Mg3  1  0.183  0.317  0.000  1.0
  Mg  Mg4  1  0.683  0.817  0.000  1.0
  Mg  Mg5  1  0.655  0.345  0.000  1.0
  Mg  Mg6  1  0.165  0.835  0.000  1.0
  Bi  Bi7  1  0.333  0.667  0.500  1.0
[/CIF]
.