The crystal structure described by SrMg14Hf crystallizes in the orthorhombic Amm2 space group. Sr(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Hf(1) atoms to form SrHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Sr(1)Hf2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Hf(1)Sr2Mg10 cuboctahedra, edges with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(6)SrMg11 cuboctahedra, edges with eight equivalent Mg(5)SrHfMg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with two equivalent Hf(1)Sr2Mg10 cuboctahedra, faces with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)SrHfMg10 cuboctahedra, and faces with six equivalent Mg(7)HfMg11 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 Hf(1)Sr2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)SrMg11 cuboctahedra, edges with eight equivalent Mg(5)SrHfMg10 cuboctahedra, faces with two equivalent Sr(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)SrHfMg10 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 Sr(1)Hf2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Sr2Hf2Mg8 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)SrHfMg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Sr2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)SrHfMg10 cuboctahedra, and faces with six equivalent Mg(6)SrMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Sr(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Hf(1) atoms to form distorted MgSr2Hf2Mg8 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)Sr2Hf2Mg8 cuboctahedra, edges with two equivalent Sr(1)Hf2Mg10 cuboctahedra, edges with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with two equivalent Hf(1)Sr2Mg10 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(5)SrHfMg10 cuboctahedra, edges with four equivalent Mg(6)SrMg11 cuboctahedra, faces with two equivalent Sr(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with two equivalent Hf(1)Sr2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)SrHfMg10 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 Sr(1)Hf2Mg10 cuboctahedra, corners with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, corners with four equivalent Hf(1)Sr2Mg10 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)HfMg11 cuboctahedra, edges with four equivalent Mg(5)SrHfMg10 cuboctahedra, edges with four equivalent Mg(6)SrMg11 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, faces with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, and faces with eight equivalent Mg(5)SrHfMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Sr(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 Hf(1) atom to form distorted MgSrHfMg10 cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with four equivalent Mg(6)SrMg11 cuboctahedra, corners with ten equivalent Mg(5)SrHfMg10 cuboctahedra, edges with two equivalent Sr(1)Hf2Mg10 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 Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(5)SrHfMg10 cuboctahedra, edges with two equivalent Mg(6)SrMg11 cuboctahedra, edges with two equivalent Hf(1)Sr2Mg10 cuboctahedra,  a faceface with one Sr(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)Sr2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, and faces with four equivalent Mg(5)SrHfMg10 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Sr(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 MgSrMg11 cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with six equivalent Mg(6)SrMg11 cuboctahedra, corners with eight equivalent Mg(5)SrHfMg10 cuboctahedra, edges with two equivalent Sr(1)Hf2Mg10 cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(5)SrHfMg10 cuboctahedra,  a faceface with one Sr(1)Hf2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Hf(1)Sr2Mg10 cuboctahedra, and faces with four equivalent Mg(5)SrHfMg10 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)SrMg11 cuboctahedra, corners with six equivalent Mg(7)HfMg11 cuboctahedra, corners with eight equivalent Mg(5)SrHfMg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(6)SrMg11 cuboctahedra, edges with two equivalent Hf(1)Sr2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(5)SrHfMg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Sr2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with three equivalent Sr(1)Hf2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)SrHfMg10 cuboctahedra. Hf(1) is bonded to two equivalent Sr(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form distorted HfSr2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Hf(1)Sr2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Sr(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with eight equivalent Mg(5)SrHfMg10 cuboctahedra, faces with two equivalent Sr(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)SrHfMg10 cuboctahedra, and faces with six equivalent Mg(6)SrMg11 cuboctahedra. is represented by the CIF file [CIF]
data_SrHfMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.548
_cell_length_b   6.595
_cell_length_c   10.446
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.240
_symmetry_Int_Tables_number   1
_cell_volume   389.723
_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
  Sr  Sr0  1  0.164  0.332  0.125  1.0
  Hf  Hf1  1  0.189  0.845  0.125  1.0
  Mg  Mg2  1  0.167  0.334  0.625  1.0
  Mg  Mg3  1  0.164  0.832  0.625  1.0
  Mg  Mg4  1  0.665  0.333  0.125  1.0
  Mg  Mg5  1  0.667  0.337  0.625  1.0
  Mg  Mg6  1  0.665  0.833  0.125  1.0
  Mg  Mg7  1  0.667  0.830  0.625  1.0
  Mg  Mg8  1  0.334  0.157  0.383  1.0
  Mg  Mg9  1  0.334  0.157  0.867  1.0
  Mg  Mg10  1  0.334  0.677  0.383  1.0
  Mg  Mg11  1  0.334  0.677  0.867  1.0
  Mg  Mg12  1  0.820  0.160  0.386  1.0
  Mg  Mg13  1  0.820  0.160  0.864  1.0
  Mg  Mg14  1  0.837  0.669  0.369  1.0
  Mg  Mg15  1  0.837  0.669  0.881  1.0
[/CIF]
.
The crystal structure described by SrMg14Hf crystallizes in the orthorhombic Amm2 space group. Sr(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Hf(1) atoms to form SrHf2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Sr(1)Hf2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Hf(1)Sr2Mg10 cuboctahedra, edges with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(6)SrMg11 cuboctahedra, edges with eight equivalent Mg(5)SrHfMg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with two equivalent Hf(1)Sr2Mg10 cuboctahedra, faces with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)SrHfMg10 cuboctahedra, and faces with six equivalent Mg(7)HfMg11 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 Hf(1)Sr2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)SrMg11 cuboctahedra, edges with eight equivalent Mg(5)SrHfMg10 cuboctahedra, faces with two equivalent Sr(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)SrHfMg10 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 Sr(1)Hf2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Sr2Hf2Mg8 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)SrHfMg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Sr2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)SrHfMg10 cuboctahedra, and faces with six equivalent Mg(6)SrMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Sr(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Hf(1) atoms to form distorted MgSr2Hf2Mg8 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)Sr2Hf2Mg8 cuboctahedra, edges with two equivalent Sr(1)Hf2Mg10 cuboctahedra, edges with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with two equivalent Hf(1)Sr2Mg10 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(5)SrHfMg10 cuboctahedra, edges with four equivalent Mg(6)SrMg11 cuboctahedra, faces with two equivalent Sr(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with two equivalent Hf(1)Sr2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)SrHfMg10 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 Sr(1)Hf2Mg10 cuboctahedra, corners with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, corners with four equivalent Hf(1)Sr2Mg10 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)HfMg11 cuboctahedra, edges with four equivalent Mg(5)SrHfMg10 cuboctahedra, edges with four equivalent Mg(6)SrMg11 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, faces with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, and faces with eight equivalent Mg(5)SrHfMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Sr(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 Hf(1) atom to form distorted MgSrHfMg10 cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with four equivalent Mg(6)SrMg11 cuboctahedra, corners with ten equivalent Mg(5)SrHfMg10 cuboctahedra, edges with two equivalent Sr(1)Hf2Mg10 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 Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with two equivalent Mg(5)SrHfMg10 cuboctahedra, edges with two equivalent Mg(6)SrMg11 cuboctahedra, edges with two equivalent Hf(1)Sr2Mg10 cuboctahedra,  a faceface with one Sr(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)Sr2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, and faces with four equivalent Mg(5)SrHfMg10 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Sr(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 MgSrMg11 cuboctahedra that share corners with four equivalent Mg(7)HfMg11 cuboctahedra, corners with six equivalent Mg(6)SrMg11 cuboctahedra, corners with eight equivalent Mg(5)SrHfMg10 cuboctahedra, edges with two equivalent Sr(1)Hf2Mg10 cuboctahedra, edges with two equivalent Mg(7)HfMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(5)SrHfMg10 cuboctahedra,  a faceface with one Sr(1)Hf2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Hf(1)Sr2Mg10 cuboctahedra, and faces with four equivalent Mg(5)SrHfMg10 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)SrMg11 cuboctahedra, corners with six equivalent Mg(7)HfMg11 cuboctahedra, corners with eight equivalent Mg(5)SrHfMg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(6)SrMg11 cuboctahedra, edges with two equivalent Hf(1)Sr2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with four equivalent Mg(5)SrHfMg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Hf(1)Sr2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with two equivalent Mg(6)SrMg11 cuboctahedra, faces with three equivalent Sr(1)Hf2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)SrHfMg10 cuboctahedra. Hf(1) is bonded to two equivalent Sr(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form distorted HfSr2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Hf(1)Sr2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Sr(1)Hf2Mg10 cuboctahedra, edges with four equivalent Mg(7)HfMg11 cuboctahedra, edges with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, edges with eight equivalent Mg(5)SrHfMg10 cuboctahedra, faces with two equivalent Sr(1)Hf2Mg10 cuboctahedra, faces with two equivalent Mg(7)HfMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Sr2Hf2Mg8 cuboctahedra, faces with four equivalent Mg(5)SrHfMg10 cuboctahedra, and faces with six equivalent Mg(6)SrMg11 cuboctahedra. is represented by the CIF file [CIF]
data_SrHfMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.548
_cell_length_b   6.595
_cell_length_c   10.446
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.240
_symmetry_Int_Tables_number   1
_cell_volume   389.723
_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
  Sr  Sr0  1  0.164  0.332  0.125  1.0
  Hf  Hf1  1  0.189  0.845  0.125  1.0
  Mg  Mg2  1  0.167  0.334  0.625  1.0
  Mg  Mg3  1  0.164  0.832  0.625  1.0
  Mg  Mg4  1  0.665  0.333  0.125  1.0
  Mg  Mg5  1  0.667  0.337  0.625  1.0
  Mg  Mg6  1  0.665  0.833  0.125  1.0
  Mg  Mg7  1  0.667  0.830  0.625  1.0
  Mg  Mg8  1  0.334  0.157  0.383  1.0
  Mg  Mg9  1  0.334  0.157  0.867  1.0
  Mg  Mg10  1  0.334  0.677  0.383  1.0
  Mg  Mg11  1  0.334  0.677  0.867  1.0
  Mg  Mg12  1  0.820  0.160  0.386  1.0
  Mg  Mg13  1  0.820  0.160  0.864  1.0
  Mg  Mg14  1  0.837  0.669  0.369  1.0
  Mg  Mg15  1  0.837  0.669  0.881  1.0
[/CIF]
.