The material described by CeMg is Magnesium-derived structured and crystallizes in the monoclinic Cm space group. There are three 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), one Ce(2), two equivalent Ce(1), and three equivalent Ce(3) atoms to form MgCe6Mg6 cuboctahedra that share corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Mg(3)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with two equivalent Ce(3)Ce5Mg7 cuboctahedra, edges with three equivalent Mg(3)Ce7Mg5 cuboctahedra, edges with three equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with four equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with six equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with two equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with three equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with three equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with three equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with four equivalent Ce(2)Ce6Mg6 cuboctahedra, and faces with five equivalent Ce(3)Ce5Mg7 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(2), two equivalent Ce(3), and three equivalent Ce(1) atoms to form MgCe7Mg5 cuboctahedra that share corners with six equivalent Mg(2)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(3)Ce5Mg7 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with two equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with three equivalent Ce(3)Ce5Mg7 cuboctahedra, edges with three equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with four equivalent Mg(3)Ce7Mg5 cuboctahedra, edges with six equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with two equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with three equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with three equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with three equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with four equivalent Mg(3)Ce7Mg5 cuboctahedra, and faces with five equivalent Ce(1)Ce5Mg7 cuboctahedra. In the third Mg site, Mg(3) is bonded to one Mg(2), two equivalent Mg(1), two equivalent Mg(3), two equivalent Ce(1), two equivalent Ce(3), and three equivalent Ce(2) atoms to form MgCe7Mg5 cuboctahedra that share corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Mg(3)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with two equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with three equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with three equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with four equivalent Mg(2)Ce7Mg5 cuboctahedra, edges with six equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with two equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with three equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with three equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with three equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with four equivalent Mg(2)Ce7Mg5 cuboctahedra, and faces with five equivalent Ce(2)Ce6Mg6 cuboctahedra. There are three inequivalent Ce sites. In the first Ce site, Ce(1) is bonded to two equivalent Mg(1), two equivalent Mg(3), three equivalent Mg(2), one Ce(3), two equivalent Ce(1), and two equivalent Ce(2) atoms to form CeCe5Mg7 cuboctahedra that share corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Mg(3)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with two equivalent Mg(2)Ce7Mg5 cuboctahedra, edges with three equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with three equivalent Mg(3)Ce7Mg5 cuboctahedra, edges with four equivalent Ce(3)Ce5Mg7 cuboctahedra, edges with six equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with three equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with three equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with three equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(3)Ce5Mg7 cuboctahedra, and faces with five equivalent Mg(2)Ce7Mg5 cuboctahedra. In the second Ce site, Ce(2) is bonded to one Mg(1), two equivalent Mg(2), three equivalent Mg(3), two equivalent Ce(1), two equivalent Ce(2), and two equivalent Ce(3) atoms to form CeCe6Mg6 cuboctahedra that share corners with six equivalent Mg(2)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(3)Ce5Mg7 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with two equivalent Mg(3)Ce7Mg5 cuboctahedra, edges with three equivalent Mg(2)Ce7Mg5 cuboctahedra, edges with three equivalent Ce(3)Ce5Mg7 cuboctahedra, edges with four equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with six equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with two equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with three equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with three equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with three equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with four equivalent Mg(1)Ce6Mg6 cuboctahedra, and faces with five equivalent Mg(3)Ce7Mg5 cuboctahedra. In the third Ce site, Ce(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), three equivalent Mg(1), one Ce(1), two equivalent Ce(2), and two equivalent Ce(3) atoms to form CeCe5Mg7 cuboctahedra that share corners with six equivalent Mg(2)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(3)Ce5Mg7 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with two equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with three equivalent Mg(2)Ce7Mg5 cuboctahedra, edges with three equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with four equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with six equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with two equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with three equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with three equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with three equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(1)Ce5Mg7 cuboctahedra, and faces with five equivalent Mg(1)Ce6Mg6 cuboctahedra. is represented by the CIF file [CIF]
data_CeMg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.714
_cell_length_b   6.714
_cell_length_c   7.653
_cell_angle_alpha   76.164
_cell_angle_beta   76.164
_cell_angle_gamma   27.308
_symmetry_Int_Tables_number   1
_cell_volume   153.398
_cell_formula_units_Z   3
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  0.666  0.666  0.655  1.0
  Ce  Ce1  1  0.079  0.079  0.392  1.0
  Ce  Ce2  1  0.699  0.699  0.070  1.0
  Mg  Mg3  1  0.984  0.984  0.001  1.0
  Mg  Mg4  1  0.390  0.390  0.721  1.0
  Mg  Mg5  1  0.348  0.348  0.327  1.0
[/CIF]
.
The material described by CeMg is Magnesium-derived structured and crystallizes in the monoclinic Cm space group. There are three 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), one Ce(2), two equivalent Ce(1), and three equivalent Ce(3) atoms to form MgCe6Mg6 cuboctahedra that share corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Mg(3)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with two equivalent Ce(3)Ce5Mg7 cuboctahedra, edges with three equivalent Mg(3)Ce7Mg5 cuboctahedra, edges with three equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with four equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with six equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with two equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with three equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with three equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with three equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with four equivalent Ce(2)Ce6Mg6 cuboctahedra, and faces with five equivalent Ce(3)Ce5Mg7 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(2), two equivalent Ce(3), and three equivalent Ce(1) atoms to form MgCe7Mg5 cuboctahedra that share corners with six equivalent Mg(2)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(3)Ce5Mg7 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with two equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with three equivalent Ce(3)Ce5Mg7 cuboctahedra, edges with three equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with four equivalent Mg(3)Ce7Mg5 cuboctahedra, edges with six equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with two equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with three equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with three equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with three equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with four equivalent Mg(3)Ce7Mg5 cuboctahedra, and faces with five equivalent Ce(1)Ce5Mg7 cuboctahedra. In the third Mg site, Mg(3) is bonded to one Mg(2), two equivalent Mg(1), two equivalent Mg(3), two equivalent Ce(1), two equivalent Ce(3), and three equivalent Ce(2) atoms to form MgCe7Mg5 cuboctahedra that share corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Mg(3)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with two equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with three equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with three equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with four equivalent Mg(2)Ce7Mg5 cuboctahedra, edges with six equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with two equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with three equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with three equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with three equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with four equivalent Mg(2)Ce7Mg5 cuboctahedra, and faces with five equivalent Ce(2)Ce6Mg6 cuboctahedra. There are three inequivalent Ce sites. In the first Ce site, Ce(1) is bonded to two equivalent Mg(1), two equivalent Mg(3), three equivalent Mg(2), one Ce(3), two equivalent Ce(1), and two equivalent Ce(2) atoms to form CeCe5Mg7 cuboctahedra that share corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Mg(3)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with two equivalent Mg(2)Ce7Mg5 cuboctahedra, edges with three equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with three equivalent Mg(3)Ce7Mg5 cuboctahedra, edges with four equivalent Ce(3)Ce5Mg7 cuboctahedra, edges with six equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with three equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with three equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with three equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(3)Ce5Mg7 cuboctahedra, and faces with five equivalent Mg(2)Ce7Mg5 cuboctahedra. In the second Ce site, Ce(2) is bonded to one Mg(1), two equivalent Mg(2), three equivalent Mg(3), two equivalent Ce(1), two equivalent Ce(2), and two equivalent Ce(3) atoms to form CeCe6Mg6 cuboctahedra that share corners with six equivalent Mg(2)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(3)Ce5Mg7 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with two equivalent Mg(3)Ce7Mg5 cuboctahedra, edges with three equivalent Mg(2)Ce7Mg5 cuboctahedra, edges with three equivalent Ce(3)Ce5Mg7 cuboctahedra, edges with four equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with six equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with two equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with three equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with three equivalent Ce(1)Ce5Mg7 cuboctahedra, faces with three equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with four equivalent Mg(1)Ce6Mg6 cuboctahedra, and faces with five equivalent Mg(3)Ce7Mg5 cuboctahedra. In the third Ce site, Ce(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), three equivalent Mg(1), one Ce(1), two equivalent Ce(2), and two equivalent Ce(3) atoms to form CeCe5Mg7 cuboctahedra that share corners with six equivalent Mg(2)Ce7Mg5 cuboctahedra, corners with six equivalent Ce(3)Ce5Mg7 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with two equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with three equivalent Mg(2)Ce7Mg5 cuboctahedra, edges with three equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with four equivalent Ce(1)Ce5Mg7 cuboctahedra, edges with six equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with two equivalent Ce(3)Ce5Mg7 cuboctahedra, faces with three equivalent Mg(2)Ce7Mg5 cuboctahedra, faces with three equivalent Mg(3)Ce7Mg5 cuboctahedra, faces with three equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(1)Ce5Mg7 cuboctahedra, and faces with five equivalent Mg(1)Ce6Mg6 cuboctahedra. is represented by the CIF file [CIF]
data_CeMg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.714
_cell_length_b   6.714
_cell_length_c   7.653
_cell_angle_alpha   76.164
_cell_angle_beta   76.164
_cell_angle_gamma   27.308
_symmetry_Int_Tables_number   1
_cell_volume   153.398
_cell_formula_units_Z   3
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  0.666  0.666  0.655  1.0
  Ce  Ce1  1  0.079  0.079  0.392  1.0
  Ce  Ce2  1  0.699  0.699  0.070  1.0
  Mg  Mg3  1  0.984  0.984  0.001  1.0
  Mg  Mg4  1  0.390  0.390  0.721  1.0
  Mg  Mg5  1  0.348  0.348  0.327  1.0
[/CIF]
.