The material described by NaMg14Ce crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Ce2Mg10 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ce2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Na2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four Mg(1,1)Ce2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaCeMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form MgNa2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight Mg(1,1)Ce2Mg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaCeMg10 cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ce2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Na2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)NaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Ce2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaCeMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Ce(1) atom to form distorted MgNaCeMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaCeMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaCeMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Ce2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Na(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Ce(1) atom to form distorted MgNaCeMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaCeMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaCeMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Ce2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)NaCeMg10 cuboctahedra; edges with six Mg(1,1)Ce2Mg10 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three Mg(1,1)Ce2Mg10 cuboctahedra; faces with three equivalent Mg(2)Na2Mg10 cuboctahedra; faces with three equivalent Ce(1)Mg12 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. Ce(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six Mg(1,1)Ce2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. is represented by the CIF card [CIF]
data_NaCeMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.563
_cell_length_b   6.563
_cell_length_c   10.321
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   384.960
_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
  Na  Na0  1  0.167  0.333  0.625  1.0
  Ce  Ce1  1  0.167  0.333  0.125  1.0
  Mg  Mg2  1  0.178  0.839  0.125  1.0
  Mg  Mg3  1  0.169  0.835  0.625  1.0
  Mg  Mg4  1  0.661  0.322  0.125  1.0
  Mg  Mg5  1  0.665  0.331  0.625  1.0
  Mg  Mg6  1  0.661  0.839  0.125  1.0
  Mg  Mg7  1  0.665  0.835  0.625  1.0
  Mg  Mg8  1  0.336  0.164  0.378  1.0
  Mg  Mg9  1  0.336  0.164  0.872  1.0
  Mg  Mg10  1  0.336  0.672  0.378  1.0
  Mg  Mg11  1  0.336  0.672  0.872  1.0
  Mg  Mg12  1  0.828  0.164  0.378  1.0
  Mg  Mg13  1  0.828  0.164  0.872  1.0
  Mg  Mg14  1  0.833  0.667  0.368  1.0
  Mg  Mg15  1  0.833  0.667  0.882  1.0
[/CIF]
.
The material described by NaMg14Ce crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Ce2Mg10 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ce2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Na2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four Mg(1,1)Ce2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaCeMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form MgNa2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight Mg(1,1)Ce2Mg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaCeMg10 cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ce2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Na2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)NaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Ce2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaCeMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Ce(1) atom to form distorted MgNaCeMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaCeMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaCeMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Ce2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Na(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Ce(1) atom to form distorted MgNaCeMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaCeMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaCeMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Ce2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)NaCeMg10 cuboctahedra; edges with six Mg(1,1)Ce2Mg10 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three Mg(1,1)Ce2Mg10 cuboctahedra; faces with three equivalent Mg(2)Na2Mg10 cuboctahedra; faces with three equivalent Ce(1)Mg12 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. Ce(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six Mg(1,1)Ce2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaCeMg10 cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)NaCeMg10 cuboctahedra. is represented by the CIF card [CIF]
data_NaCeMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.563
_cell_length_b   6.563
_cell_length_c   10.321
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   384.960
_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
  Na  Na0  1  0.167  0.333  0.625  1.0
  Ce  Ce1  1  0.167  0.333  0.125  1.0
  Mg  Mg2  1  0.178  0.839  0.125  1.0
  Mg  Mg3  1  0.169  0.835  0.625  1.0
  Mg  Mg4  1  0.661  0.322  0.125  1.0
  Mg  Mg5  1  0.665  0.331  0.625  1.0
  Mg  Mg6  1  0.661  0.839  0.125  1.0
  Mg  Mg7  1  0.665  0.835  0.625  1.0
  Mg  Mg8  1  0.336  0.164  0.378  1.0
  Mg  Mg9  1  0.336  0.164  0.872  1.0
  Mg  Mg10  1  0.336  0.672  0.378  1.0
  Mg  Mg11  1  0.336  0.672  0.872  1.0
  Mg  Mg12  1  0.828  0.164  0.378  1.0
  Mg  Mg13  1  0.828  0.164  0.872  1.0
  Mg  Mg14  1  0.833  0.667  0.368  1.0
  Mg  Mg15  1  0.833  0.667  0.882  1.0
[/CIF]
.