The material described by MgCe2 is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(1), two equivalent Ce(4), and four equivalent Ce(3) atoms to form MgCe8Mg4 cuboctahedra that share corners with six equivalent Mg(1)Ce8Mg4 cuboctahedra, corners with six equivalent Mg(2)Ce8Mg4 cuboctahedra, corners with six equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(2)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(3)Ce6Mg6 cuboctahedra, edges with eight equivalent Ce(2)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(4)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(3)Ce6Mg6 cuboctahedra, and faces with six equivalent Ce(1)Ce10Mg2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(3), two equivalent Ce(4), and four equivalent Ce(2) atoms to form MgCe8Mg4 cuboctahedra that share corners with six equivalent Mg(1)Ce8Mg4 cuboctahedra, corners with six equivalent Mg(2)Ce8Mg4 cuboctahedra, corners with six equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(1)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with eight equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with two equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with two equivalent Ce(4)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(2)Ce8Mg4 cuboctahedra, and faces with six equivalent Ce(3)Ce6Mg6 cuboctahedra. There are four inequivalent Ce sites. In the first Ce site, Ce(1) is bonded to two equivalent Mg(1), two equivalent Ce(1), two equivalent Ce(2), two equivalent Ce(3), and four equivalent Ce(4) atoms to form CeCe10Mg2 cuboctahedra that share corners with six equivalent Ce(1)Ce10Mg2 cuboctahedra, corners with six equivalent Ce(3)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(3)Ce6Mg6 cuboctahedra, edges with three equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with eight equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(3)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(2)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with four equivalent Ce(4)Ce8Mg4 cuboctahedra, and faces with six equivalent Mg(1)Ce8Mg4 cuboctahedra. In the second Ce site, Ce(2) is bonded to four equivalent Mg(2), two equivalent Ce(1), two equivalent Ce(2), two equivalent Ce(3), and two equivalent Ce(4) atoms to form distorted CeCe8Mg4 cuboctahedra that share corners with six equivalent Ce(1)Ce10Mg2 cuboctahedra, corners with six equivalent Ce(3)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(1)Ce10Mg2 cuboctahedra, edges with three equivalent Ce(3)Ce6Mg6 cuboctahedra, edges with four equivalent Mg(2)Ce8Mg4 cuboctahedra, edges with eight equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with two equivalent Ce(3)Ce6Mg6 cuboctahedra, faces with four equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(2)Ce8Mg4 cuboctahedra, and faces with six equivalent Ce(4)Ce8Mg4 cuboctahedra. In the third Ce site, Ce(3) is bonded to two equivalent Mg(2), four equivalent Mg(1), two equivalent Ce(1), two equivalent Ce(2), and two equivalent Ce(3) atoms to form CeCe6Mg6 cuboctahedra that share corners with six equivalent Ce(1)Ce10Mg2 cuboctahedra, corners with six equivalent Ce(3)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(1)Ce10Mg2 cuboctahedra, edges with three equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with four equivalent Mg(1)Ce8Mg4 cuboctahedra, edges with eight equivalent Ce(4)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with two equivalent Ce(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(4)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(3)Ce6Mg6 cuboctahedra, and faces with six equivalent Mg(2)Ce8Mg4 cuboctahedra. In the fourth Ce site, Ce(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(2), two equivalent Ce(4), and four equivalent Ce(1) atoms to form distorted CeCe8Mg4 cuboctahedra that share corners with six equivalent Mg(1)Ce8Mg4 cuboctahedra, corners with six equivalent Mg(2)Ce8Mg4 cuboctahedra, corners with six equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(1)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(2)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(1)Ce10Mg2 cuboctahedra, edges with eight equivalent Ce(3)Ce6Mg6 cuboctahedra, faces with two equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(3)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with four equivalent Ce(4)Ce8Mg4 cuboctahedra, and faces with six equivalent Ce(2)Ce8Mg4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ce2Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.757
_cell_length_b   8.757
_cell_length_c   5.726
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   158.699
_symmetry_Int_Tables_number   1
_cell_volume   159.505
_cell_formula_units_Z   2
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  0.003  0.997  0.000  1.0
  Ce  Ce1  1  0.323  0.677  0.000  1.0
  Ce  Ce2  1  0.665  0.335  0.000  1.0
  Ce  Ce3  1  0.452  0.548  0.500  1.0
  Mg  Mg4  1  0.119  0.881  0.500  1.0
  Mg  Mg5  1  0.773  0.227  0.500  1.0
[/CIF]
.
The material described by MgCe2 is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(1), two equivalent Ce(4), and four equivalent Ce(3) atoms to form MgCe8Mg4 cuboctahedra that share corners with six equivalent Mg(1)Ce8Mg4 cuboctahedra, corners with six equivalent Mg(2)Ce8Mg4 cuboctahedra, corners with six equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(2)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(3)Ce6Mg6 cuboctahedra, edges with eight equivalent Ce(2)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(4)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(3)Ce6Mg6 cuboctahedra, and faces with six equivalent Ce(1)Ce10Mg2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(3), two equivalent Ce(4), and four equivalent Ce(2) atoms to form MgCe8Mg4 cuboctahedra that share corners with six equivalent Mg(1)Ce8Mg4 cuboctahedra, corners with six equivalent Mg(2)Ce8Mg4 cuboctahedra, corners with six equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(1)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with eight equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with two equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with two equivalent Ce(4)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(2)Ce8Mg4 cuboctahedra, and faces with six equivalent Ce(3)Ce6Mg6 cuboctahedra. There are four inequivalent Ce sites. In the first Ce site, Ce(1) is bonded to two equivalent Mg(1), two equivalent Ce(1), two equivalent Ce(2), two equivalent Ce(3), and four equivalent Ce(4) atoms to form CeCe10Mg2 cuboctahedra that share corners with six equivalent Ce(1)Ce10Mg2 cuboctahedra, corners with six equivalent Ce(3)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(3)Ce6Mg6 cuboctahedra, edges with three equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with eight equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(3)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(2)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with four equivalent Ce(4)Ce8Mg4 cuboctahedra, and faces with six equivalent Mg(1)Ce8Mg4 cuboctahedra. In the second Ce site, Ce(2) is bonded to four equivalent Mg(2), two equivalent Ce(1), two equivalent Ce(2), two equivalent Ce(3), and two equivalent Ce(4) atoms to form distorted CeCe8Mg4 cuboctahedra that share corners with six equivalent Ce(1)Ce10Mg2 cuboctahedra, corners with six equivalent Ce(3)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(1)Ce10Mg2 cuboctahedra, edges with three equivalent Ce(3)Ce6Mg6 cuboctahedra, edges with four equivalent Mg(2)Ce8Mg4 cuboctahedra, edges with eight equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with two equivalent Ce(3)Ce6Mg6 cuboctahedra, faces with four equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(2)Ce8Mg4 cuboctahedra, and faces with six equivalent Ce(4)Ce8Mg4 cuboctahedra. In the third Ce site, Ce(3) is bonded to two equivalent Mg(2), four equivalent Mg(1), two equivalent Ce(1), two equivalent Ce(2), and two equivalent Ce(3) atoms to form CeCe6Mg6 cuboctahedra that share corners with six equivalent Ce(1)Ce10Mg2 cuboctahedra, corners with six equivalent Ce(3)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(1)Ce10Mg2 cuboctahedra, edges with three equivalent Ce(2)Ce8Mg4 cuboctahedra, edges with four equivalent Mg(1)Ce8Mg4 cuboctahedra, edges with eight equivalent Ce(4)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with two equivalent Ce(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(4)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(3)Ce6Mg6 cuboctahedra, and faces with six equivalent Mg(2)Ce8Mg4 cuboctahedra. In the fourth Ce site, Ce(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(2), two equivalent Ce(4), and four equivalent Ce(1) atoms to form distorted CeCe8Mg4 cuboctahedra that share corners with six equivalent Mg(1)Ce8Mg4 cuboctahedra, corners with six equivalent Mg(2)Ce8Mg4 cuboctahedra, corners with six equivalent Ce(4)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(1)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(2)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(1)Ce10Mg2 cuboctahedra, edges with eight equivalent Ce(3)Ce6Mg6 cuboctahedra, faces with two equivalent Mg(1)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(2)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(3)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(1)Ce10Mg2 cuboctahedra, faces with four equivalent Ce(4)Ce8Mg4 cuboctahedra, and faces with six equivalent Ce(2)Ce8Mg4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ce2Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.757
_cell_length_b   8.757
_cell_length_c   5.726
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   158.699
_symmetry_Int_Tables_number   1
_cell_volume   159.505
_cell_formula_units_Z   2
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  0.003  0.997  0.000  1.0
  Ce  Ce1  1  0.323  0.677  0.000  1.0
  Ce  Ce2  1  0.665  0.335  0.000  1.0
  Ce  Ce3  1  0.452  0.548  0.500  1.0
  Mg  Mg4  1  0.119  0.881  0.500  1.0
  Mg  Mg5  1  0.773  0.227  0.500  1.0
[/CIF]
.