The structure described by Mg14CeHf crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Hf(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeHfMg10 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ce(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)HfMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Hf2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeHfMg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)CeMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ce(1), and two equivalent Hf(1) atoms to form MgCe2Hf2Mg8 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Ce(1)Hf2Mg10 cuboctahedra, edges with two equivalent Hf(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeHfMg10 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Hf2Mg10 cuboctahedra, faces with two equivalent Hf(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeHfMg10 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, corners with four equivalent Ce(1)Hf2Mg10 cuboctahedra, corners with four equivalent Hf(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)CeHfMg10 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)CeHfMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one Hf(1) atom to form MgCeHfMg10 cuboctahedra that share corners with four equivalent Mg(6)CeMg11 cuboctahedra, corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with ten equivalent Mg(5)CeHfMg10 cuboctahedra, edges with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(5)CeHfMg10 cuboctahedra, edges with two equivalent Mg(6)CeMg11 cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Hf2Mg10 cuboctahedra, edges with two equivalent Hf(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Hf2Mg10 cuboctahedra,  a faceface with one Hf(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Ce(1) atom to form MgCeMg11 cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with six equivalent Mg(6)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeHfMg10 cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ce(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(5)CeHfMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ce(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Hf(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeHfMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Hf(1) atom to form MgHfMg11 cuboctahedra that share corners with four equivalent Mg(6)CeMg11 cuboctahedra, corners with six equivalent Mg(7)HfMg11 cuboctahedra, corners with eight equivalent Mg(5)CeHfMg10 cuboctahedra, edges with two equivalent Mg(6)CeMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Hf(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(5)CeHfMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Ce(1)Hf2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeHfMg10 cuboctahedra. Ce(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Hf(1) atoms to form CeHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ce(1)Hf2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Hf(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeHfMg10 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, and faces with six equivalent Mg(7)HfMg11 cuboctahedra. Hf(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form distorted HfCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Hf(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with eight equivalent Mg(5)CeHfMg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ce(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, and faces with six equivalent Mg(6)CeMg11 cuboctahedra. is represented by the CIF file [CIF]
data_CeHfMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.539
_cell_length_b   6.288
_cell_length_c   10.446
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.740
_symmetry_Int_Tables_number   1
_cell_volume   376.646
_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  0.160  0.330  0.125  1.0
  Hf  Hf1  1  0.176  0.838  0.125  1.0
  Mg  Mg2  1  0.165  0.333  0.625  1.0
  Mg  Mg3  1  0.161  0.831  0.625  1.0
  Mg  Mg4  1  0.663  0.329  0.125  1.0
  Mg  Mg5  1  0.664  0.334  0.625  1.0
  Mg  Mg6  1  0.663  0.833  0.125  1.0
  Mg  Mg7  1  0.664  0.830  0.625  1.0
  Mg  Mg8  1  0.336  0.165  0.381  1.0
  Mg  Mg9  1  0.336  0.165  0.869  1.0
  Mg  Mg10  1  0.336  0.671  0.381  1.0
  Mg  Mg11  1  0.336  0.671  0.869  1.0
  Mg  Mg12  1  0.831  0.165  0.383  1.0
  Mg  Mg13  1  0.831  0.165  0.867  1.0
  Mg  Mg14  1  0.839  0.670  0.369  1.0
  Mg  Mg15  1  0.839  0.670  0.881  1.0
[/CIF]
.
The structure described by Mg14CeHf crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Hf(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeHfMg10 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ce(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)HfMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Hf2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeHfMg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)CeMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ce(1), and two equivalent Hf(1) atoms to form MgCe2Hf2Mg8 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Ce(1)Hf2Mg10 cuboctahedra, edges with two equivalent Hf(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeHfMg10 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Hf2Mg10 cuboctahedra, faces with two equivalent Hf(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeHfMg10 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, corners with four equivalent Ce(1)Hf2Mg10 cuboctahedra, corners with four equivalent Hf(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)CeHfMg10 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)CeHfMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one Hf(1) atom to form MgCeHfMg10 cuboctahedra that share corners with four equivalent Mg(6)CeMg11 cuboctahedra, corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with ten equivalent Mg(5)CeHfMg10 cuboctahedra, edges with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(5)CeHfMg10 cuboctahedra, edges with two equivalent Mg(6)CeMg11 cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Hf2Mg10 cuboctahedra, edges with two equivalent Hf(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Hf2Mg10 cuboctahedra,  a faceface with one Hf(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Ce(1) atom to form MgCeMg11 cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with six equivalent Mg(6)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeHfMg10 cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ce(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(5)CeHfMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ce(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Hf(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeHfMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Hf(1) atom to form MgHfMg11 cuboctahedra that share corners with four equivalent Mg(6)CeMg11 cuboctahedra, corners with six equivalent Mg(7)HfMg11 cuboctahedra, corners with eight equivalent Mg(5)CeHfMg10 cuboctahedra, edges with two equivalent Mg(6)CeMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Hf(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(5)CeHfMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Ce(1)Hf2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeHfMg10 cuboctahedra. Ce(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Hf(1) atoms to form CeHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ce(1)Hf2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Hf(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeHfMg10 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, and faces with six equivalent Mg(7)HfMg11 cuboctahedra. Hf(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form distorted HfCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Hf(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with eight equivalent Mg(5)CeHfMg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ce(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)CeHfMg10 cuboctahedra, and faces with six equivalent Mg(6)CeMg11 cuboctahedra. is represented by the CIF file [CIF]
data_CeHfMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.539
_cell_length_b   6.288
_cell_length_c   10.446
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.740
_symmetry_Int_Tables_number   1
_cell_volume   376.646
_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  0.160  0.330  0.125  1.0
  Hf  Hf1  1  0.176  0.838  0.125  1.0
  Mg  Mg2  1  0.165  0.333  0.625  1.0
  Mg  Mg3  1  0.161  0.831  0.625  1.0
  Mg  Mg4  1  0.663  0.329  0.125  1.0
  Mg  Mg5  1  0.664  0.334  0.625  1.0
  Mg  Mg6  1  0.663  0.833  0.125  1.0
  Mg  Mg7  1  0.664  0.830  0.625  1.0
  Mg  Mg8  1  0.336  0.165  0.381  1.0
  Mg  Mg9  1  0.336  0.165  0.869  1.0
  Mg  Mg10  1  0.336  0.671  0.381  1.0
  Mg  Mg11  1  0.336  0.671  0.869  1.0
  Mg  Mg12  1  0.831  0.165  0.383  1.0
  Mg  Mg13  1  0.831  0.165  0.867  1.0
  Mg  Mg14  1  0.839  0.670  0.369  1.0
  Mg  Mg15  1  0.839  0.670  0.881  1.0
[/CIF]
.