The material described by SrMg14Hf crystallizes in the hexagonal P-6m2 space group. Sr(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form SrMg12 cuboctahedra that share corners with six equivalent Sr(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with six equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with twelve Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Hf(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Sr(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Hf(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with eight Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3)SrHfMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent Hf(1) atoms to form MgHf2Mg10 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Hf2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with two equivalent Hf(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Sr2Mg10 cuboctahedra; faces with two equivalent Hf(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Hf2Mg10 cuboctahedra; and faces with ten Mg(3,3)SrHfMg10 cuboctahedra. In the third Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Hf(1) atom to form distorted MgSrHfMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)SrHfMg10 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Hf(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrHfMg10 cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Hf(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with five equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Sr(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Hf(1) atom to form distorted MgSrHfMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)SrHfMg10 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Hf(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(3)SrHfMg10 cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Hf(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with five equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)SrHfMg10 cuboctahedra; edges with six equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with six equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with six Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Sr(1)Mg12 cuboctahedra; faces with three equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with three equivalent Mg(1)Sr2Mg10 cuboctahedra; faces with three equivalent Hf(1)Mg12 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. Hf(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form HfMg12 cuboctahedra that share corners with six equivalent Hf(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with six equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with twelve Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. is represented by the CIF file [CIF]
data_SrHfMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.590
_cell_length_b   6.590
_cell_length_c   10.349
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   389.189
_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  0.167  0.333  0.125  1.0
  Hf  Hf1  1  0.167  0.333  0.625  1.0
  Mg  Mg2  1  0.176  0.838  0.125  1.0
  Mg  Mg3  1  0.167  0.834  0.625  1.0
  Mg  Mg4  1  0.662  0.324  0.125  1.0
  Mg  Mg5  1  0.666  0.333  0.625  1.0
  Mg  Mg6  1  0.662  0.838  0.125  1.0
  Mg  Mg7  1  0.666  0.834  0.625  1.0
  Mg  Mg8  1  0.336  0.164  0.386  1.0
  Mg  Mg9  1  0.336  0.164  0.864  1.0
  Mg  Mg10  1  0.336  0.672  0.386  1.0
  Mg  Mg11  1  0.336  0.672  0.864  1.0
  Mg  Mg12  1  0.828  0.164  0.386  1.0
  Mg  Mg13  1  0.828  0.164  0.864  1.0
  Mg  Mg14  1  0.833  0.667  0.373  1.0
  Mg  Mg15  1  0.833  0.667  0.877  1.0
[/CIF]
.
The material described by SrMg14Hf crystallizes in the hexagonal P-6m2 space group. Sr(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form SrMg12 cuboctahedra that share corners with six equivalent Sr(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with six equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with twelve Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Hf(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Sr(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Hf(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with eight Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3)SrHfMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent Hf(1) atoms to form MgHf2Mg10 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Hf2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with two equivalent Hf(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Sr2Mg10 cuboctahedra; faces with two equivalent Hf(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Hf2Mg10 cuboctahedra; and faces with ten Mg(3,3)SrHfMg10 cuboctahedra. In the third Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Hf(1) atom to form distorted MgSrHfMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)SrHfMg10 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Hf(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrHfMg10 cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Hf(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with five equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Sr(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Hf(1) atom to form distorted MgSrHfMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)SrHfMg10 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Hf(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(3)SrHfMg10 cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Hf(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with five equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)SrHfMg10 cuboctahedra; edges with six equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with six equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with six Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Sr(1)Mg12 cuboctahedra; faces with three equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with three equivalent Mg(1)Sr2Mg10 cuboctahedra; faces with three equivalent Hf(1)Mg12 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. Hf(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form HfMg12 cuboctahedra that share corners with six equivalent Hf(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with six equivalent Mg(2)Hf2Mg10 cuboctahedra; edges with twelve Mg(3,3)SrHfMg10 cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Hf2Mg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)SrHfMg10 cuboctahedra. is represented by the CIF file [CIF]
data_SrHfMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.590
_cell_length_b   6.590
_cell_length_c   10.349
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   389.189
_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  0.167  0.333  0.125  1.0
  Hf  Hf1  1  0.167  0.333  0.625  1.0
  Mg  Mg2  1  0.176  0.838  0.125  1.0
  Mg  Mg3  1  0.167  0.834  0.625  1.0
  Mg  Mg4  1  0.662  0.324  0.125  1.0
  Mg  Mg5  1  0.666  0.333  0.625  1.0
  Mg  Mg6  1  0.662  0.838  0.125  1.0
  Mg  Mg7  1  0.666  0.834  0.625  1.0
  Mg  Mg8  1  0.336  0.164  0.386  1.0
  Mg  Mg9  1  0.336  0.164  0.864  1.0
  Mg  Mg10  1  0.336  0.672  0.386  1.0
  Mg  Mg11  1  0.336  0.672  0.864  1.0
  Mg  Mg12  1  0.828  0.164  0.386  1.0
  Mg  Mg13  1  0.828  0.164  0.864  1.0
  Mg  Mg14  1  0.833  0.667  0.373  1.0
  Mg  Mg15  1  0.833  0.667  0.877  1.0
[/CIF]
.