The material described by NaMg14Cd crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form NaMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Na(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cd(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Cd(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)NaMg10Cd cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. 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 Cd(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Cd cuboctahedra, faces with two equivalent Na(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaMg10Cd cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd 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 Na(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Cd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaMg10Cd cuboctahedra, and faces with six equivalent Mg(6)NaMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Cd(1) atoms to form distorted MgNa2Mg8Cd2 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)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Na(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(5)NaMg10Cd cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Na(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Cd(1)Na2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)NaMg10Cd 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 Na(1)Mg10Cd2 cuboctahedra, corners with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, corners with four equivalent Cd(1)Na2Mg10 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(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(5)NaMg10Cd cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd 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, faces with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)NaMg10Cd cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Na(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Cd(1) atom to form distorted MgNaMg10Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with four equivalent Mg(6)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)NaMg10Cd cuboctahedra, edges with two equivalent Na(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(7)Mg11Cd 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 Mg(3)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(5)NaMg10Cd cuboctahedra, edges with two equivalent Mg(6)NaMg11 cuboctahedra, edges with two equivalent Cd(1)Na2Mg10 cuboctahedra,  a faceface with one Na(1)Mg10Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Cd cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Na(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgNaMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with six equivalent Mg(6)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)NaMg10Cd cuboctahedra, edges with two equivalent Na(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)NaMg10Cd cuboctahedra,  a faceface with one Na(1)Mg10Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cd(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Cd 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 Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)NaMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Cd cuboctahedra, corners with eight equivalent Mg(5)NaMg10Cd cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(6)NaMg11 cuboctahedra, edges with two equivalent Cd(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)NaMg10Cd cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Na(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Cd cuboctahedra. Cd(1) is bonded to two equivalent Na(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CdNa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cd(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Cd cuboctahedra, faces with two equivalent Na(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)NaMg10Cd cuboctahedra, and faces with six equivalent Mg(6)NaMg11 cuboctahedra. is represented by the CIF card [CIF]
data_NaMg14Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.408
_cell_length_b   6.403
_cell_length_c   10.396
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.976
_symmetry_Int_Tables_number   1
_cell_volume   369.494
_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  0.166  0.333  0.125  1.0
  Mg  Mg1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.167  0.834  0.625  1.0
  Mg  Mg3  1  0.667  0.332  0.125  1.0
  Mg  Mg4  1  0.666  0.333  0.625  1.0
  Mg  Mg5  1  0.667  0.835  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.334  0.165  0.376  1.0
  Mg  Mg8  1  0.334  0.165  0.874  1.0
  Mg  Mg9  1  0.334  0.668  0.376  1.0
  Mg  Mg10  1  0.334  0.668  0.874  1.0
  Mg  Mg11  1  0.832  0.166  0.377  1.0
  Mg  Mg12  1  0.832  0.166  0.873  1.0
  Mg  Mg13  1  0.834  0.667  0.374  1.0
  Mg  Mg14  1  0.834  0.667  0.876  1.0
  Cd  Cd15  1  0.168  0.834  0.125  1.0
[/CIF]
.
The material described by NaMg14Cd crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form NaMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Na(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cd(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Cd(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)NaMg10Cd cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. 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 Cd(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Cd cuboctahedra, faces with two equivalent Na(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaMg10Cd cuboctahedra, and faces with six equivalent Mg(7)Mg11Cd 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 Na(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Cd cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cd(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaMg10Cd cuboctahedra, and faces with six equivalent Mg(6)NaMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Cd(1) atoms to form distorted MgNa2Mg8Cd2 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)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Na(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(5)NaMg10Cd cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Na(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Cd(1)Na2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)NaMg10Cd 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 Na(1)Mg10Cd2 cuboctahedra, corners with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, corners with four equivalent Cd(1)Na2Mg10 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(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(5)NaMg10Cd cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd 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, faces with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)NaMg10Cd cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Na(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Cd(1) atom to form distorted MgNaMg10Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with four equivalent Mg(6)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)NaMg10Cd cuboctahedra, edges with two equivalent Na(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(7)Mg11Cd 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 Mg(3)Na2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(5)NaMg10Cd cuboctahedra, edges with two equivalent Mg(6)NaMg11 cuboctahedra, edges with two equivalent Cd(1)Na2Mg10 cuboctahedra,  a faceface with one Na(1)Mg10Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Cd cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Na(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgNaMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra, corners with six equivalent Mg(6)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)NaMg10Cd cuboctahedra, edges with two equivalent Na(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(7)Mg11Cd cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)NaMg10Cd cuboctahedra,  a faceface with one Na(1)Mg10Cd2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cd(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Cd 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 Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)NaMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Cd cuboctahedra, corners with eight equivalent Mg(5)NaMg10Cd cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(6)NaMg11 cuboctahedra, edges with two equivalent Cd(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(5)NaMg10Cd cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cd(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Na(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Cd cuboctahedra. Cd(1) is bonded to two equivalent Na(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CdNa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cd(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Cd cuboctahedra, faces with two equivalent Na(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Cd2 cuboctahedra, faces with four equivalent Mg(5)NaMg10Cd cuboctahedra, and faces with six equivalent Mg(6)NaMg11 cuboctahedra. is represented by the CIF card [CIF]
data_NaMg14Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.408
_cell_length_b   6.403
_cell_length_c   10.396
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.976
_symmetry_Int_Tables_number   1
_cell_volume   369.494
_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  0.166  0.333  0.125  1.0
  Mg  Mg1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.167  0.834  0.625  1.0
  Mg  Mg3  1  0.667  0.332  0.125  1.0
  Mg  Mg4  1  0.666  0.333  0.625  1.0
  Mg  Mg5  1  0.667  0.835  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.334  0.165  0.376  1.0
  Mg  Mg8  1  0.334  0.165  0.874  1.0
  Mg  Mg9  1  0.334  0.668  0.376  1.0
  Mg  Mg10  1  0.334  0.668  0.874  1.0
  Mg  Mg11  1  0.832  0.166  0.377  1.0
  Mg  Mg12  1  0.832  0.166  0.873  1.0
  Mg  Mg13  1  0.834  0.667  0.374  1.0
  Mg  Mg14  1  0.834  0.667  0.876  1.0
  Cd  Cd15  1  0.168  0.834  0.125  1.0
[/CIF]
.