The material structure described by NaMg6Hf crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four equivalent Mg(3); and two equivalent Hf(1) atoms to form NaHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Na2Mg10 cuboctahedra; corners with six equivalent Na(1)Hf2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Hf(1)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; faces with four equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; and faces with six equivalent Mg(4)Hf2Mg10 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Na(1)Hf2Mg10 cuboctahedra; corners with four equivalent Mg(2)Na2Mg10 cuboctahedra; corners with ten Mg(1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Na(1)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Hf(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; and faces with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Na(1)Hf2Mg10 cuboctahedra; corners with four equivalent Mg(2)Na2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Na(1)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Hf(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; and faces with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(1,1,1); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Na(1)Hf2Mg10 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Na(1)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with four Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with six equivalent Hf(1)Na2Mg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Hf2Mg10 cuboctahedra; corners with four equivalent Hf(1)Na2Mg10 cuboctahedra; corners with ten Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Hf(1)Na2Mg10 cuboctahedra; edges with four equivalent Na(1)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Hf2Mg10 cuboctahedra; corners with four equivalent Hf(1)Na2Mg10 cuboctahedra; corners with ten Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Hf(1)Na2Mg10 cuboctahedra; edges with four equivalent Na(1)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with eight Mg(1,1)Na2Hf2Mg8 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Hf(1) atoms to form MgHf2Mg10 cuboctahedra that share corners with four equivalent Hf(1)Na2Mg10 cuboctahedra; corners with six equivalent Mg(4)Hf2Mg10 cuboctahedra; corners with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Hf(1)Na2Mg10 cuboctahedra; edges with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with six equivalent Na(1)Hf2Mg10 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Na(1)Hf2Mg10 cuboctahedra; corners with four equivalent Mg(2)Na2Mg10 cuboctahedra; corners with ten Mg(1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Na(1)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Hf(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; and faces with eight equivalent Mg(3)Na2Hf2Mg8 cuboctahedra. Hf(1) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form HfNa2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Hf2Mg10 cuboctahedra; corners with six equivalent Hf(1)Na2Mg10 cuboctahedra; corners with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four equivalent Na(1)Hf2Mg10 cuboctahedra; edges with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with six equivalent Mg(2)Na2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_NaHfMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.179
_cell_length_b   6.454
_cell_length_c   6.454
_cell_angle_alpha   119.958
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   186.925
_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
  Hf  Hf0  1  0.500  0.342  0.658  1.0
  Mg  Mg1  1  1.000  0.656  0.829  1.0
  Mg  Mg2  1  1.000  0.171  0.344  1.0
  Mg  Mg3  1  0.000  0.666  0.334  1.0
  Mg  Mg4  1  0.500  0.832  0.668  1.0
  Mg  Mg5  1  0.500  0.332  0.168  1.0
  Mg  Mg6  1  0.500  0.836  0.164  1.0
  Na  Na7  1  0.000  0.164  0.836  1.0
[/CIF]
.
The material structure described by NaMg6Hf crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four equivalent Mg(3); and two equivalent Hf(1) atoms to form NaHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Na2Mg10 cuboctahedra; corners with six equivalent Na(1)Hf2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Hf(1)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; faces with four equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; and faces with six equivalent Mg(4)Hf2Mg10 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Na(1)Hf2Mg10 cuboctahedra; corners with four equivalent Mg(2)Na2Mg10 cuboctahedra; corners with ten Mg(1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Na(1)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Hf(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; and faces with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Na(1)Hf2Mg10 cuboctahedra; corners with four equivalent Mg(2)Na2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Na(1)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Hf(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; and faces with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(1,1,1); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Na(1)Hf2Mg10 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Na(1)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; edges with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with four Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with six equivalent Hf(1)Na2Mg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Hf2Mg10 cuboctahedra; corners with four equivalent Hf(1)Na2Mg10 cuboctahedra; corners with ten Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Hf(1)Na2Mg10 cuboctahedra; edges with four equivalent Na(1)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Mg(4)Hf2Mg10 cuboctahedra; corners with four equivalent Hf(1)Na2Mg10 cuboctahedra; corners with ten Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Hf(1)Na2Mg10 cuboctahedra; edges with four equivalent Na(1)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with eight Mg(1,1)Na2Hf2Mg8 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Hf(1) atoms to form MgHf2Mg10 cuboctahedra that share corners with four equivalent Hf(1)Na2Mg10 cuboctahedra; corners with six equivalent Mg(4)Hf2Mg10 cuboctahedra; corners with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Hf(1)Na2Mg10 cuboctahedra; edges with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with six equivalent Na(1)Hf2Mg10 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Hf(1) atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with four equivalent Na(1)Hf2Mg10 cuboctahedra; corners with four equivalent Mg(2)Na2Mg10 cuboctahedra; corners with ten Mg(1,1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Na(1)Hf2Mg10 cuboctahedra; edges with two equivalent Mg(1)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Hf2Mg8 cuboctahedra; edges with four equivalent Hf(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; and faces with eight equivalent Mg(3)Na2Hf2Mg8 cuboctahedra. Hf(1) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form HfNa2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Hf2Mg10 cuboctahedra; corners with six equivalent Hf(1)Na2Mg10 cuboctahedra; corners with eight Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with two equivalent Mg(4)Hf2Mg10 cuboctahedra; edges with four equivalent Na(1)Hf2Mg10 cuboctahedra; edges with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; edges with eight Mg(1,1,1)Na2Hf2Mg8 cuboctahedra; faces with two equivalent Na(1)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Hf2Mg10 cuboctahedra; faces with two equivalent Hf(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Hf2Mg8 cuboctahedra; faces with four Mg(3,3)Na2Hf2Mg8 cuboctahedra; and faces with six equivalent Mg(2)Na2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_NaHfMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.179
_cell_length_b   6.454
_cell_length_c   6.454
_cell_angle_alpha   119.958
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   186.925
_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
  Hf  Hf0  1  0.500  0.342  0.658  1.0
  Mg  Mg1  1  1.000  0.656  0.829  1.0
  Mg  Mg2  1  1.000  0.171  0.344  1.0
  Mg  Mg3  1  0.000  0.666  0.334  1.0
  Mg  Mg4  1  0.500  0.832  0.668  1.0
  Mg  Mg5  1  0.500  0.332  0.168  1.0
  Mg  Mg6  1  0.500  0.836  0.164  1.0
  Na  Na7  1  0.000  0.164  0.836  1.0
[/CIF]
.