The crystal structure described by CaMg6Ce is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. Ca(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Ce(1) atoms to form CaCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with six equivalent Ca(1)Ce2Mg10 cuboctahedra; corners with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with six equivalent Mg(4)Ce2Mg10 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Ca(1)Ce2Mg10 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with four equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; and faces with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form MgCa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Ce2Mg10 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with six equivalent Ce(1)Ca2Mg10 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with eight equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Ce(1) atoms to form MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with four Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; and faces with six equivalent Ca(1)Ce2Mg10 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Ca(1)Ce2Mg10 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with four equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; and faces with eight Mg(3,3)Ca2Ce2Mg8 cuboctahedra. In the seventh Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra. Ce(1) is bonded to two equivalent Ca(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3,3) atoms to form CeCa2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with six equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with four equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; faces with four Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; and faces with six equivalent Mg(2)Ca2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_CaCeMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.572
_cell_length_b   6.572
_cell_length_c   5.333
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   117.730
_symmetry_Int_Tables_number   1
_cell_volume   203.874
_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
  Ca  Ca0  1  0.843  0.157  0.000  1.0
  Ce  Ce1  1  0.655  0.345  0.500  1.0
  Mg  Mg2  1  0.836  0.666  0.000  1.0
  Mg  Mg3  1  0.334  0.164  0.000  1.0
  Mg  Mg4  1  0.337  0.663  0.000  1.0
  Mg  Mg5  1  0.668  0.833  0.500  1.0
  Mg  Mg6  1  0.167  0.332  0.500  1.0
  Mg  Mg7  1  0.160  0.840  0.500  1.0
[/CIF]
.
The crystal structure described by CaMg6Ce is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. Ca(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Ce(1) atoms to form CaCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with six equivalent Ca(1)Ce2Mg10 cuboctahedra; corners with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with six equivalent Mg(4)Ce2Mg10 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Ca(1)Ce2Mg10 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with four equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; and faces with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form MgCa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Ce2Mg10 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with six equivalent Ce(1)Ca2Mg10 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with eight equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Ce(1) atoms to form MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with four Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; and faces with six equivalent Ca(1)Ce2Mg10 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Ca(1)Ce2Mg10 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with four equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Ce2Mg8 cuboctahedra; and faces with eight Mg(3,3)Ca2Ce2Mg8 cuboctahedra. In the seventh Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Ce2Mg8 cuboctahedra; and faces with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra. Ce(1) is bonded to two equivalent Ca(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3,3) atoms to form CeCa2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with six equivalent Ce(1)Ca2Mg10 cuboctahedra; corners with eight Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with four equivalent Ca(1)Ce2Mg10 cuboctahedra; edges with four Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; edges with eight Mg(1,1)Ca2Ce2Mg8 cuboctahedra; faces with two equivalent Ca(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Ca2Mg10 cuboctahedra; faces with four equivalent Mg(1)Ca2Ce2Mg8 cuboctahedra; faces with four Mg(3,3,3)Ca2Ce2Mg8 cuboctahedra; and faces with six equivalent Mg(2)Ca2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_CaCeMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.572
_cell_length_b   6.572
_cell_length_c   5.333
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   117.730
_symmetry_Int_Tables_number   1
_cell_volume   203.874
_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
  Ca  Ca0  1  0.843  0.157  0.000  1.0
  Ce  Ce1  1  0.655  0.345  0.500  1.0
  Mg  Mg2  1  0.836  0.666  0.000  1.0
  Mg  Mg3  1  0.334  0.164  0.000  1.0
  Mg  Mg4  1  0.337  0.663  0.000  1.0
  Mg  Mg5  1  0.668  0.833  0.500  1.0
  Mg  Mg6  1  0.167  0.332  0.500  1.0
  Mg  Mg7  1  0.160  0.840  0.500  1.0
[/CIF]
.