The material structure described by RbMg6Hf crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(2) atoms to form RbMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra, corners with eight equivalent Hf(1)Mg12 cuboctahedra, edges with eight equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra, faces with two equivalent Rb(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra, and faces with four equivalent Hf(1)Mg12 cuboctahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Rb(1), two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(2), and two equivalent Hf(1) atoms to form distorted MgRb2Hf2Mg8 cuboctahedra that share corners with twelve equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra, edges with four equivalent Rb(1)Mg12 cuboctahedra, edges with four equivalent Hf(1)Mg12 cuboctahedra, faces with two equivalent Rb(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg12 cuboctahedra, and faces with six equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to two equivalent Rb(1), one Mg(3), one Mg(4), four equivalent Mg(1), and two equivalent Hf(1) atoms. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Rb(1), two equivalent Mg(2), four equivalent Mg(1), and two equivalent Hf(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 10-coordinate geometry to two equivalent Rb(1), two equivalent Mg(2), four equivalent Mg(1), and two equivalent Hf(1) atoms. Hf(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(2) atoms to form HfMg12 cuboctahedra that share corners with four equivalent Hf(1)Mg12 cuboctahedra, corners with eight equivalent Rb(1)Mg12 cuboctahedra, edges with eight equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra, faces with two equivalent Hf(1)Mg12 cuboctahedra, faces with four equivalent Rb(1)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra. is represented by the CIF file [CIF]
data_RbHfMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.608
_cell_length_b   6.844
_cell_length_c   6.844
_cell_angle_alpha   90.219
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   215.846
_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  0.625  0.625  1.0
  Mg  Mg1  1  0.500  0.632  0.120  1.0
  Mg  Mg2  1  0.500  0.120  0.632  1.0
  Mg  Mg3  1  1.000  0.841  0.404  1.0
  Mg  Mg4  1  1.000  0.404  0.841  1.0
  Mg  Mg5  1  1.000  0.406  0.406  1.0
  Mg  Mg6  1  1.000  0.843  0.843  1.0
  Rb  Rb7  1  0.500  0.130  0.130  1.0
[/CIF]
.
The material structure described by RbMg6Hf crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(2) atoms to form RbMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra, corners with eight equivalent Hf(1)Mg12 cuboctahedra, edges with eight equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra, faces with two equivalent Rb(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra, and faces with four equivalent Hf(1)Mg12 cuboctahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Rb(1), two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(2), and two equivalent Hf(1) atoms to form distorted MgRb2Hf2Mg8 cuboctahedra that share corners with twelve equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra, edges with four equivalent Rb(1)Mg12 cuboctahedra, edges with four equivalent Hf(1)Mg12 cuboctahedra, faces with two equivalent Rb(1)Mg12 cuboctahedra, faces with two equivalent Hf(1)Mg12 cuboctahedra, and faces with six equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to two equivalent Rb(1), one Mg(3), one Mg(4), four equivalent Mg(1), and two equivalent Hf(1) atoms. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Rb(1), two equivalent Mg(2), four equivalent Mg(1), and two equivalent Hf(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 10-coordinate geometry to two equivalent Rb(1), two equivalent Mg(2), four equivalent Mg(1), and two equivalent Hf(1) atoms. Hf(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(2) atoms to form HfMg12 cuboctahedra that share corners with four equivalent Hf(1)Mg12 cuboctahedra, corners with eight equivalent Rb(1)Mg12 cuboctahedra, edges with eight equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra, faces with two equivalent Hf(1)Mg12 cuboctahedra, faces with four equivalent Rb(1)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Rb2Hf2Mg8 cuboctahedra. is represented by the CIF file [CIF]
data_RbHfMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.608
_cell_length_b   6.844
_cell_length_c   6.844
_cell_angle_alpha   90.219
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   215.846
_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  0.625  0.625  1.0
  Mg  Mg1  1  0.500  0.632  0.120  1.0
  Mg  Mg2  1  0.500  0.120  0.632  1.0
  Mg  Mg3  1  1.000  0.841  0.404  1.0
  Mg  Mg4  1  1.000  0.404  0.841  1.0
  Mg  Mg5  1  1.000  0.406  0.406  1.0
  Mg  Mg6  1  1.000  0.843  0.843  1.0
  Rb  Rb7  1  0.500  0.130  0.130  1.0
[/CIF]
.