The material described by MgHf3 is Copper-derived structured and crystallizes in the tetragonal I4/mmm space group. Mg(1) is bonded to four equivalent Hf(1) and eight equivalent Hf(2) atoms to form MgHf12 cuboctahedra that share corners with four equivalent Mg(1)Hf12 cuboctahedra, corners with eight equivalent Hf(1)Hf8Mg4 cuboctahedra, edges with eight equivalent Mg(1)Hf12 cuboctahedra, edges with sixteen equivalent Hf(2)Hf8Mg4 cuboctahedra, faces with four equivalent Mg(1)Hf12 cuboctahedra, faces with six equivalent Hf(1)Hf8Mg4 cuboctahedra, and faces with eight equivalent Hf(2)Hf8Mg4 cuboctahedra. There are two inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to four equivalent Mg(1) and eight equivalent Hf(2) atoms to form HfHf8Mg4 cuboctahedra that share corners with four equivalent Hf(1)Hf8Mg4 cuboctahedra, corners with eight equivalent Mg(1)Hf12 cuboctahedra, edges with eight equivalent Hf(1)Hf8Mg4 cuboctahedra, edges with sixteen equivalent Hf(2)Hf8Mg4 cuboctahedra, faces with four equivalent Hf(1)Hf8Mg4 cuboctahedra, faces with six equivalent Mg(1)Hf12 cuboctahedra, and faces with eight equivalent Hf(2)Hf8Mg4 cuboctahedra. In the second Hf site, Hf(2) is bonded to four equivalent Mg(1), four equivalent Hf(1), and four equivalent Hf(2) atoms to form HfHf8Mg4 cuboctahedra that share corners with twelve equivalent Hf(2)Hf8Mg4 cuboctahedra, edges with eight equivalent Mg(1)Hf12 cuboctahedra, edges with eight equivalent Hf(1)Hf8Mg4 cuboctahedra, edges with eight equivalent Hf(2)Hf8Mg4 cuboctahedra, faces with four equivalent Mg(1)Hf12 cuboctahedra, faces with four equivalent Hf(1)Hf8Mg4 cuboctahedra, and faces with ten equivalent Hf(2)Hf8Mg4 cuboctahedra. is represented by the CIF file [CIF]
data_Hf3Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.463
_cell_length_b   5.463
_cell_length_c   5.463
_cell_angle_alpha   132.305
_cell_angle_beta   132.305
_cell_angle_gamma   69.747
_symmetry_Int_Tables_number   1
_cell_volume   87.444
_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  0.500  0.000  1.0
  Hf  Hf1  1  0.250  0.750  0.500  1.0
  Hf  Hf2  1  0.750  0.250  0.500  1.0
  Mg  Mg3  1  0.000  0.000  0.000  1.0
[/CIF]
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The material described by MgHf3 is Copper-derived structured and crystallizes in the tetragonal I4/mmm space group. Mg(1) is bonded to four equivalent Hf(1) and eight equivalent Hf(2) atoms to form MgHf12 cuboctahedra that share corners with four equivalent Mg(1)Hf12 cuboctahedra, corners with eight equivalent Hf(1)Hf8Mg4 cuboctahedra, edges with eight equivalent Mg(1)Hf12 cuboctahedra, edges with sixteen equivalent Hf(2)Hf8Mg4 cuboctahedra, faces with four equivalent Mg(1)Hf12 cuboctahedra, faces with six equivalent Hf(1)Hf8Mg4 cuboctahedra, and faces with eight equivalent Hf(2)Hf8Mg4 cuboctahedra. There are two inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to four equivalent Mg(1) and eight equivalent Hf(2) atoms to form HfHf8Mg4 cuboctahedra that share corners with four equivalent Hf(1)Hf8Mg4 cuboctahedra, corners with eight equivalent Mg(1)Hf12 cuboctahedra, edges with eight equivalent Hf(1)Hf8Mg4 cuboctahedra, edges with sixteen equivalent Hf(2)Hf8Mg4 cuboctahedra, faces with four equivalent Hf(1)Hf8Mg4 cuboctahedra, faces with six equivalent Mg(1)Hf12 cuboctahedra, and faces with eight equivalent Hf(2)Hf8Mg4 cuboctahedra. In the second Hf site, Hf(2) is bonded to four equivalent Mg(1), four equivalent Hf(1), and four equivalent Hf(2) atoms to form HfHf8Mg4 cuboctahedra that share corners with twelve equivalent Hf(2)Hf8Mg4 cuboctahedra, edges with eight equivalent Mg(1)Hf12 cuboctahedra, edges with eight equivalent Hf(1)Hf8Mg4 cuboctahedra, edges with eight equivalent Hf(2)Hf8Mg4 cuboctahedra, faces with four equivalent Mg(1)Hf12 cuboctahedra, faces with four equivalent Hf(1)Hf8Mg4 cuboctahedra, and faces with ten equivalent Hf(2)Hf8Mg4 cuboctahedra. is represented by the CIF file [CIF]
data_Hf3Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.463
_cell_length_b   5.463
_cell_length_c   5.463
_cell_angle_alpha   132.305
_cell_angle_beta   132.305
_cell_angle_gamma   69.747
_symmetry_Int_Tables_number   1
_cell_volume   87.444
_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  0.500  0.000  1.0
  Hf  Hf1  1  0.250  0.750  0.500  1.0
  Hf  Hf2  1  0.750  0.250  0.500  1.0
  Mg  Mg3  1  0.000  0.000  0.000  1.0
[/CIF]
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