The crystal structure described by Mg6LaMn crystallizes in the orthorhombic Amm2 space group. There are five 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 Mn(1) atoms to form MgLa2Mg8Mn2 cuboctahedra that share corners with four equivalent La(1)Mg10Mn2 cuboctahedra; corners with four equivalent Mn(1)La2Mg10 cuboctahedra; corners with ten Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mg(1)La2Mg8Mn2 cuboctahedra; edges with two equivalent La(1)Mg10Mn2 cuboctahedra; edges with two equivalent Mn(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)La2Mg10 cuboctahedra; edges with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; and faces with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra. In the second 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 Mn(1) atoms to form MgLa2Mg8Mn2 cuboctahedra that share corners with four equivalent La(1)Mg10Mn2 cuboctahedra; corners with four equivalent Mn(1)La2Mg10 cuboctahedra; corners with ten Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mg(1)La2Mg8Mn2 cuboctahedra; edges with two equivalent La(1)Mg10Mn2 cuboctahedra; edges with two equivalent Mn(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)La2Mg10 cuboctahedra; edges with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; and faces with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra. In the third Mg site, Mg(2) 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 Mn(1) atoms to form distorted MgLa2Mg8Mn2 cuboctahedra that share corners with four equivalent Mg(4)La2Mg10 cuboctahedra, corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra, corners with ten equivalent Mg(2)La2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(4)La2Mg10 cuboctahedra, edges with two equivalent Mg(2)La2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Mn2 cuboctahedra, edges with four equivalent La(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(4)La2Mg10 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent La(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra, and faces with eight equivalent Mg(1)La2Mg8Mn2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Mn(1) atoms to form distorted MgMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)La2Mg10 cuboctahedra; corners with six equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mg(4)La2Mg10 cuboctahedra; edges with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with four equivalent Mn(1)La2Mg10 cuboctahedra; edges with eight Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; and faces with six equivalent La(1)Mg10Mn2 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with six equivalent Mg(4)La2Mg10 cuboctahedra; corners with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with four equivalent La(1)Mg10Mn2 cuboctahedra; edges with eight Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; and faces with six equivalent Mn(1)La2Mg10 cuboctahedra. La(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Mn(1) atoms to form LaMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)La2Mg10 cuboctahedra; corners with six equivalent La(1)Mg10Mn2 cuboctahedra; corners with eight Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mn(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)La2Mg10 cuboctahedra; edges with four Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Mn2 cuboctahedra. Mn(1) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent La(1) atoms to form MnLa2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg10Mn2 cuboctahedra; corners with six equivalent Mn(1)La2Mg10 cuboctahedra; corners with eight Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with two equivalent La(1)Mg10Mn2 cuboctahedra; edges with four Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; and faces with six equivalent Mg(4)La2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_LaMg6Mn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.177
_cell_length_b   6.516
_cell_length_c   6.620
_cell_angle_alpha   119.485
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   194.367
_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  0.500  0.667  0.334  1.0
  Mg  Mg1  1  0.500  0.674  0.837  1.0
  Mg  Mg2  1  0.500  0.163  0.837  1.0
  Mg  Mg3  1  0.000  0.848  0.167  1.0
  Mg  Mg4  1  1.000  0.318  0.167  1.0
  Mg  Mg5  1  0.000  0.328  0.656  1.0
  Mg  Mg6  1  0.000  0.839  0.677  1.0
  Mn  Mn7  1  0.500  0.162  0.325  1.0
[/CIF]
.
The crystal structure described by Mg6LaMn crystallizes in the orthorhombic Amm2 space group. There are five 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 Mn(1) atoms to form MgLa2Mg8Mn2 cuboctahedra that share corners with four equivalent La(1)Mg10Mn2 cuboctahedra; corners with four equivalent Mn(1)La2Mg10 cuboctahedra; corners with ten Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mg(1)La2Mg8Mn2 cuboctahedra; edges with two equivalent La(1)Mg10Mn2 cuboctahedra; edges with two equivalent Mn(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)La2Mg10 cuboctahedra; edges with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; and faces with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra. In the second 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 Mn(1) atoms to form MgLa2Mg8Mn2 cuboctahedra that share corners with four equivalent La(1)Mg10Mn2 cuboctahedra; corners with four equivalent Mn(1)La2Mg10 cuboctahedra; corners with ten Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mg(1)La2Mg8Mn2 cuboctahedra; edges with two equivalent La(1)Mg10Mn2 cuboctahedra; edges with two equivalent Mn(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)La2Mg10 cuboctahedra; edges with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; and faces with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra. In the third Mg site, Mg(2) 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 Mn(1) atoms to form distorted MgLa2Mg8Mn2 cuboctahedra that share corners with four equivalent Mg(4)La2Mg10 cuboctahedra, corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra, corners with ten equivalent Mg(2)La2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(4)La2Mg10 cuboctahedra, edges with two equivalent Mg(2)La2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Mn2 cuboctahedra, edges with four equivalent La(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(4)La2Mg10 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent La(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra, and faces with eight equivalent Mg(1)La2Mg8Mn2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Mn(1) atoms to form distorted MgMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)La2Mg10 cuboctahedra; corners with six equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mg(4)La2Mg10 cuboctahedra; edges with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with four equivalent Mn(1)La2Mg10 cuboctahedra; edges with eight Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; and faces with six equivalent La(1)Mg10Mn2 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with six equivalent Mg(4)La2Mg10 cuboctahedra; corners with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; edges with four equivalent La(1)Mg10Mn2 cuboctahedra; edges with eight Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; and faces with six equivalent Mn(1)La2Mg10 cuboctahedra. La(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Mn(1) atoms to form LaMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)La2Mg10 cuboctahedra; corners with six equivalent La(1)Mg10Mn2 cuboctahedra; corners with eight Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with two equivalent Mn(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)La2Mg10 cuboctahedra; edges with four Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra; faces with two equivalent Mg(4)La2Mg10 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Mn2 cuboctahedra. Mn(1) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent La(1) atoms to form MnLa2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg10Mn2 cuboctahedra; corners with six equivalent Mn(1)La2Mg10 cuboctahedra; corners with eight Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with two equivalent La(1)Mg10Mn2 cuboctahedra; edges with four Mg(1,1)La2Mg8Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with eight equivalent Mg(2)La2Mg8Mn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent La(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)La2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg8Mn2 cuboctahedra; faces with four equivalent Mg(2)La2Mg8Mn2 cuboctahedra; and faces with six equivalent Mg(4)La2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_LaMg6Mn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.177
_cell_length_b   6.516
_cell_length_c   6.620
_cell_angle_alpha   119.485
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   194.367
_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  0.500  0.667  0.334  1.0
  Mg  Mg1  1  0.500  0.674  0.837  1.0
  Mg  Mg2  1  0.500  0.163  0.837  1.0
  Mg  Mg3  1  0.000  0.848  0.167  1.0
  Mg  Mg4  1  1.000  0.318  0.167  1.0
  Mg  Mg5  1  0.000  0.328  0.656  1.0
  Mg  Mg6  1  0.000  0.839  0.677  1.0
  Mn  Mn7  1  0.500  0.162  0.325  1.0
[/CIF]
.