The material structure described by Mg14HfGa 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)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)HfMg10Ga cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ga(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga 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 Ga(1)Hf2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Hf2Mg8Ga2 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)HfMg10Ga cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Ga 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 Ga(1) atoms to form distorted MgHf2Mg8Ga2 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)Hf2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with two equivalent Hf(1)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(5)HfMg10Ga cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Hf2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)HfMg10Ga 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)Hf2Mg8Ga2 cuboctahedra, corners with four equivalent Hf(1)Mg10Ga2 cuboctahedra, corners with four equivalent Ga(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)HfMg10Ga cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga 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)HfMg10Ga 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 Ga(1) atom to form distorted MgHfMg10Ga cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Ga cuboctahedra, corners with ten equivalent Mg(5)HfMg10Ga cuboctahedra, edges with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(5)HfMg10Ga cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Ga 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)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(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)Mg10Ga2 cuboctahedra,  a faceface with one Ga(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga 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 Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)HfMg10Ga cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ga(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(5)HfMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ga(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Hf(1)Mg10Ga2 cuboctahedra, and faces with four equivalent Mg(5)HfMg10Ga 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)Mg11Ga cuboctahedra, corners with six equivalent Mg(7)HfMg11 cuboctahedra, corners with eight equivalent Mg(5)HfMg10Ga cuboctahedra, edges with two equivalent Mg(6)Mg11Ga cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Hf(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(5)HfMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Ga(1)Hf2Mg10 cuboctahedra, and faces with four equivalent Mg(5)HfMg10Ga cuboctahedra. Hf(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form distorted HfMg10Ga2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Hf(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ga(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with eight equivalent Mg(5)HfMg10Ga cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ga(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga cuboctahedra, and faces with six equivalent Mg(6)Mg11Ga cuboctahedra. Ga(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Hf(1) atoms to form GaHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ga(1)Hf2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Hf(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(6)Mg11Ga cuboctahedra, edges with eight equivalent Mg(5)HfMg10Ga cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga cuboctahedra, and faces with six equivalent Mg(7)HfMg11 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_HfMg14Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.355
_cell_length_b   6.206
_cell_length_c   10.233
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.230
_symmetry_Int_Tables_number   1
_cell_volume   352.216
_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  0.161  0.831  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  0.664  0.335  0.125  1.0
  Mg  Mg4  1  0.666  0.332  0.625  1.0
  Mg  Mg5  1  0.664  0.830  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.332  0.165  0.372  1.0
  Mg  Mg8  1  0.332  0.165  0.878  1.0
  Mg  Mg9  1  0.332  0.667  0.372  1.0
  Mg  Mg10  1  0.332  0.667  0.878  1.0
  Mg  Mg11  1  0.836  0.168  0.371  1.0
  Mg  Mg12  1  0.836  0.168  0.879  1.0
  Mg  Mg13  1  0.838  0.669  0.375  1.0
  Mg  Mg14  1  0.838  0.669  0.875  1.0
  Ga  Ga15  1  0.170  0.335  0.125  1.0
[/CIF]
.
The material structure described by Mg14HfGa 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)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)HfMg10Ga cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ga(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga 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 Ga(1)Hf2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Hf2Mg8Ga2 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)HfMg10Ga cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Ga 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 Ga(1) atoms to form distorted MgHf2Mg8Ga2 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)Hf2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with two equivalent Hf(1)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(5)HfMg10Ga cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Hf2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)HfMg10Ga 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)Hf2Mg8Ga2 cuboctahedra, corners with four equivalent Hf(1)Mg10Ga2 cuboctahedra, corners with four equivalent Ga(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)HfMg10Ga cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga 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)HfMg10Ga 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 Ga(1) atom to form distorted MgHfMg10Ga cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Ga cuboctahedra, corners with ten equivalent Mg(5)HfMg10Ga cuboctahedra, edges with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(5)HfMg10Ga cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Ga 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)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(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)Mg10Ga2 cuboctahedra,  a faceface with one Ga(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga 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 Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)HfMg10Ga cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ga(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(5)HfMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ga(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Hf(1)Mg10Ga2 cuboctahedra, and faces with four equivalent Mg(5)HfMg10Ga 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)Mg11Ga cuboctahedra, corners with six equivalent Mg(7)HfMg11 cuboctahedra, corners with eight equivalent Mg(5)HfMg10Ga cuboctahedra, edges with two equivalent Mg(6)Mg11Ga cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Hf(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(5)HfMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Ga(1)Hf2Mg10 cuboctahedra, and faces with four equivalent Mg(5)HfMg10Ga cuboctahedra. Hf(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form distorted HfMg10Ga2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Hf(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ga(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with eight equivalent Mg(5)HfMg10Ga cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ga(1)Hf2Mg10 cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga cuboctahedra, and faces with six equivalent Mg(6)Mg11Ga cuboctahedra. Ga(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Hf(1) atoms to form GaHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ga(1)Hf2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Hf(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(6)Mg11Ga cuboctahedra, edges with eight equivalent Mg(5)HfMg10Ga cuboctahedra, faces with two equivalent Mg(6)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(3)Hf2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)HfMg10Ga cuboctahedra, and faces with six equivalent Mg(7)HfMg11 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_HfMg14Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.355
_cell_length_b   6.206
_cell_length_c   10.233
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.230
_symmetry_Int_Tables_number   1
_cell_volume   352.216
_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  0.161  0.831  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  0.664  0.335  0.125  1.0
  Mg  Mg4  1  0.666  0.332  0.625  1.0
  Mg  Mg5  1  0.664  0.830  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.332  0.165  0.372  1.0
  Mg  Mg8  1  0.332  0.165  0.878  1.0
  Mg  Mg9  1  0.332  0.667  0.372  1.0
  Mg  Mg10  1  0.332  0.667  0.878  1.0
  Mg  Mg11  1  0.836  0.168  0.371  1.0
  Mg  Mg12  1  0.836  0.168  0.879  1.0
  Mg  Mg13  1  0.838  0.669  0.375  1.0
  Mg  Mg14  1  0.838  0.669  0.875  1.0
  Ga  Ga15  1  0.170  0.335  0.125  1.0
[/CIF]
.