The compound described by Mg6CeLa 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 Ce(1), and two equivalent La(1) atoms to form MgLa2Ce2Mg8 cuboctahedra that share corners with four equivalent Ce(1)La2Mg10 cuboctahedra, corners with four equivalent La(1)Ce2Mg10 cuboctahedra, corners with ten equivalent Mg(1)La2Ce2Mg8 cuboctahedra, edges with two equivalent Mg(1)La2Ce2Mg8 cuboctahedra, edges with two equivalent Ce(1)La2Mg10 cuboctahedra, edges with two equivalent La(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)La2Mg10 cuboctahedra, faces with two equivalent La(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Ce(1), and two equivalent La(1) atoms. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Ce(1)La2Mg10 cuboctahedra, edges with eight equivalent Mg(1)La2Ce2Mg8 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra, and faces with six equivalent La(1)Ce2Mg10 cuboctahedra. Ce(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms to form CeLa2Mg10 cuboctahedra that share corners with four equivalent La(1)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(1)La2Ce2Mg8 cuboctahedra, edges with two equivalent La(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)La2Mg10 cuboctahedra, faces with two equivalent La(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra. La(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Ce(1) atoms to form LaCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)La2Mg10 cuboctahedra, corners with six equivalent La(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(1)La2Ce2Mg8 cuboctahedra, edges with two equivalent Ce(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra, faces with two equivalent Ce(1)La2Mg10 cuboctahedra, faces with two equivalent La(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra, and faces with six equivalent Mg(4)Ce2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_LaCeMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.400
_cell_length_b   6.685
_cell_length_c   6.815
_cell_angle_alpha   119.371
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   214.379
_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
  Ce  Ce0  1  0.500  0.665  0.330  1.0
  La  La1  1  0.500  0.164  0.328  1.0
  Mg  Mg2  1  0.500  0.667  0.835  1.0
  Mg  Mg3  1  0.500  0.167  0.835  1.0
  Mg  Mg4  1  1.000  0.824  0.158  1.0
  Mg  Mg5  1  0.000  0.334  0.158  1.0
  Mg  Mg6  1  0.000  0.341  0.681  1.0
  Mg  Mg7  1  0.000  0.838  0.676  1.0
[/CIF]
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The compound described by Mg6CeLa 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 Ce(1), and two equivalent La(1) atoms to form MgLa2Ce2Mg8 cuboctahedra that share corners with four equivalent Ce(1)La2Mg10 cuboctahedra, corners with four equivalent La(1)Ce2Mg10 cuboctahedra, corners with ten equivalent Mg(1)La2Ce2Mg8 cuboctahedra, edges with two equivalent Mg(1)La2Ce2Mg8 cuboctahedra, edges with two equivalent Ce(1)La2Mg10 cuboctahedra, edges with two equivalent La(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)La2Mg10 cuboctahedra, faces with two equivalent La(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Ce(1), and two equivalent La(1) atoms. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Ce(1)La2Mg10 cuboctahedra, edges with eight equivalent Mg(1)La2Ce2Mg8 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra, and faces with six equivalent La(1)Ce2Mg10 cuboctahedra. Ce(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms to form CeLa2Mg10 cuboctahedra that share corners with four equivalent La(1)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(1)La2Ce2Mg8 cuboctahedra, edges with two equivalent La(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)La2Mg10 cuboctahedra, faces with two equivalent La(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra. La(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Ce(1) atoms to form LaCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)La2Mg10 cuboctahedra, corners with six equivalent La(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(1)La2Ce2Mg8 cuboctahedra, edges with two equivalent Ce(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra, faces with two equivalent Ce(1)La2Mg10 cuboctahedra, faces with two equivalent La(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)La2Ce2Mg8 cuboctahedra, and faces with six equivalent Mg(4)Ce2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_LaCeMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.400
_cell_length_b   6.685
_cell_length_c   6.815
_cell_angle_alpha   119.371
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   214.379
_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
  Ce  Ce0  1  0.500  0.665  0.330  1.0
  La  La1  1  0.500  0.164  0.328  1.0
  Mg  Mg2  1  0.500  0.667  0.835  1.0
  Mg  Mg3  1  0.500  0.167  0.835  1.0
  Mg  Mg4  1  1.000  0.824  0.158  1.0
  Mg  Mg5  1  0.000  0.334  0.158  1.0
  Mg  Mg6  1  0.000  0.341  0.681  1.0
  Mg  Mg7  1  0.000  0.838  0.676  1.0
[/CIF]
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