The compound described by Mg14HfBi 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)Mg10Bi2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Bi cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)HfMg10Bi cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Bi(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi 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 Bi(1)Hf2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Hf2Mg8Bi2 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)HfMg10Bi cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Bi2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Bi 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 Hf(1), and two equivalent Bi(1) atoms to form distorted MgHf2Mg8Bi2 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)Hf2Mg8Bi2 cuboctahedra, edges with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with two equivalent Hf(1)Mg10Bi2 cuboctahedra, edges with two equivalent Bi(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(5)HfMg10Bi cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Hf2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)HfMg10Bi 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)Hf2Mg8Bi2 cuboctahedra, corners with four equivalent Hf(1)Mg10Bi2 cuboctahedra, corners with four equivalent Bi(1)Hf2Mg10 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)HfMg10Bi cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi 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)HfMg10Bi 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 Hf(1), and one Bi(1) atom to form distorted MgHfMg10Bi cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Bi cuboctahedra, corners with ten equivalent Mg(5)HfMg10Bi cuboctahedra, edges with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with two equivalent Mg(5)HfMg10Bi cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Bi 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 Hf(1)Mg10Bi2 cuboctahedra, edges with two equivalent Bi(1)Hf2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Mg10Bi2 cuboctahedra,  a faceface with one Bi(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi 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 Bi(1) atom to form distorted MgMg11Bi cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Bi cuboctahedra, corners with eight equivalent Mg(5)HfMg10Bi cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Bi(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with four equivalent Mg(5)HfMg10Bi cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Bi(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Hf(1)Mg10Bi2 cuboctahedra, and faces with four equivalent Mg(5)HfMg10Bi 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)Mg11Bi cuboctahedra, corners with six equivalent Mg(7)HfMg11 cuboctahedra, corners with eight equivalent Mg(5)HfMg10Bi cuboctahedra, edges with two equivalent Mg(6)Mg11Bi cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Hf(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with four equivalent Mg(5)HfMg10Bi cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Mg10Bi2 cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Bi(1)Hf2Mg10 cuboctahedra, and faces with four equivalent Mg(5)HfMg10Bi cuboctahedra. Hf(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Bi(1) atoms to form distorted HfMg10Bi2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Hf(1)Mg10Bi2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Bi(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with eight equivalent Mg(5)HfMg10Bi cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Bi(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi cuboctahedra, and faces with six equivalent Mg(6)Mg11Bi cuboctahedra. Bi(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Hf(1) atoms to form BiHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Bi(1)Hf2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Hf(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with four equivalent Mg(6)Mg11Bi cuboctahedra, edges with eight equivalent Mg(5)HfMg10Bi cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Bi2 cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi cuboctahedra, and faces with six equivalent Mg(7)HfMg11 cuboctahedra. is represented by the CIF card [CIF]
data_HfMg14Bi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.421
_cell_length_b   6.346
_cell_length_c   10.392
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.615
_symmetry_Int_Tables_number   1
_cell_volume   368.115
_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  0.167  0.834  0.125  1.0
  Mg  Mg1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.166  0.833  0.625  1.0
  Mg  Mg3  1  0.667  0.336  0.125  1.0
  Mg  Mg4  1  0.666  0.333  0.625  1.0
  Mg  Mg5  1  0.667  0.831  0.125  1.0
  Mg  Mg6  1  0.666  0.833  0.625  1.0
  Mg  Mg7  1  0.335  0.162  0.378  1.0
  Mg  Mg8  1  0.335  0.162  0.872  1.0
  Mg  Mg9  1  0.335  0.673  0.378  1.0
  Mg  Mg10  1  0.335  0.673  0.872  1.0
  Mg  Mg11  1  0.828  0.164  0.378  1.0
  Mg  Mg12  1  0.828  0.164  0.872  1.0
  Mg  Mg13  1  0.837  0.668  0.374  1.0
  Mg  Mg14  1  0.837  0.668  0.876  1.0
  Bi  Bi15  1  0.164  0.332  0.125  1.0
[/CIF]
.
The compound described by Mg14HfBi 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)Mg10Bi2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Bi cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)HfMg10Bi cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Bi(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi 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 Bi(1)Hf2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Hf2Mg8Bi2 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)HfMg10Bi cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Bi2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Bi 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 Hf(1), and two equivalent Bi(1) atoms to form distorted MgHf2Mg8Bi2 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)Hf2Mg8Bi2 cuboctahedra, edges with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with two equivalent Hf(1)Mg10Bi2 cuboctahedra, edges with two equivalent Bi(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(5)HfMg10Bi cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Hf2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)HfMg10Bi 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)Hf2Mg8Bi2 cuboctahedra, corners with four equivalent Hf(1)Mg10Bi2 cuboctahedra, corners with four equivalent Bi(1)Hf2Mg10 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)HfMg10Bi cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi 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)HfMg10Bi 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 Hf(1), and one Bi(1) atom to form distorted MgHfMg10Bi cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Bi cuboctahedra, corners with ten equivalent Mg(5)HfMg10Bi cuboctahedra, edges with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with two equivalent Mg(5)HfMg10Bi cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Bi 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 Hf(1)Mg10Bi2 cuboctahedra, edges with two equivalent Bi(1)Hf2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Mg10Bi2 cuboctahedra,  a faceface with one Bi(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi 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 Bi(1) atom to form distorted MgMg11Bi cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Bi cuboctahedra, corners with eight equivalent Mg(5)HfMg10Bi cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Bi(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with four equivalent Mg(5)HfMg10Bi cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Bi(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Hf(1)Mg10Bi2 cuboctahedra, and faces with four equivalent Mg(5)HfMg10Bi 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)Mg11Bi cuboctahedra, corners with six equivalent Mg(7)HfMg11 cuboctahedra, corners with eight equivalent Mg(5)HfMg10Bi cuboctahedra, edges with two equivalent Mg(6)Mg11Bi cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Hf(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with four equivalent Mg(5)HfMg10Bi cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Mg10Bi2 cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Bi(1)Hf2Mg10 cuboctahedra, and faces with four equivalent Mg(5)HfMg10Bi cuboctahedra. Hf(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Bi(1) atoms to form distorted HfMg10Bi2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Hf(1)Mg10Bi2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Bi(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with eight equivalent Mg(5)HfMg10Bi cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Bi(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi cuboctahedra, and faces with six equivalent Mg(6)Mg11Bi cuboctahedra. Bi(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Hf(1) atoms to form BiHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Bi(1)Hf2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Hf(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, edges with four equivalent Mg(6)Mg11Bi cuboctahedra, edges with eight equivalent Mg(5)HfMg10Bi cuboctahedra, faces with two equivalent Mg(6)Mg11Bi cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Bi2 cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Bi2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Bi cuboctahedra, and faces with six equivalent Mg(7)HfMg11 cuboctahedra. is represented by the CIF card [CIF]
data_HfMg14Bi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.421
_cell_length_b   6.346
_cell_length_c   10.392
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.615
_symmetry_Int_Tables_number   1
_cell_volume   368.115
_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  0.167  0.834  0.125  1.0
  Mg  Mg1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.166  0.833  0.625  1.0
  Mg  Mg3  1  0.667  0.336  0.125  1.0
  Mg  Mg4  1  0.666  0.333  0.625  1.0
  Mg  Mg5  1  0.667  0.831  0.125  1.0
  Mg  Mg6  1  0.666  0.833  0.625  1.0
  Mg  Mg7  1  0.335  0.162  0.378  1.0
  Mg  Mg8  1  0.335  0.162  0.872  1.0
  Mg  Mg9  1  0.335  0.673  0.378  1.0
  Mg  Mg10  1  0.335  0.673  0.872  1.0
  Mg  Mg11  1  0.828  0.164  0.378  1.0
  Mg  Mg12  1  0.828  0.164  0.872  1.0
  Mg  Mg13  1  0.837  0.668  0.374  1.0
  Mg  Mg14  1  0.837  0.668  0.876  1.0
  Bi  Bi15  1  0.164  0.332  0.125  1.0
[/CIF]
.