The material structure described by RbMg14Al crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form RbMg12 cuboctahedra that share corners with six equivalent Rb(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Al(1) atoms to form distorted MgMg10Al2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Al(1) atom to form distorted MgRbMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Al cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Al cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Al(1) atom to form distorted MgRbMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Al cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Al cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); 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)RbMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. Al(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form AlMg12 cuboctahedra that share corners with six equivalent Al(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_RbMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.495
_cell_length_b   6.495
_cell_length_c   10.728
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   391.952
_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
  Rb  Rb0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.161  0.831  0.125  1.0
  Mg  Mg2  1  0.175  0.837  0.625  1.0
  Mg  Mg3  1  0.669  0.339  0.125  1.0
  Mg  Mg4  1  0.663  0.325  0.625  1.0
  Mg  Mg5  1  0.669  0.831  0.125  1.0
  Mg  Mg6  1  0.663  0.837  0.625  1.0
  Mg  Mg7  1  0.336  0.164  0.356  1.0
  Mg  Mg8  1  0.336  0.164  0.894  1.0
  Mg  Mg9  1  0.336  0.672  0.356  1.0
  Mg  Mg10  1  0.336  0.672  0.894  1.0
  Mg  Mg11  1  0.828  0.164  0.356  1.0
  Mg  Mg12  1  0.828  0.164  0.894  1.0
  Mg  Mg13  1  0.833  0.667  0.382  1.0
  Mg  Mg14  1  0.833  0.667  0.868  1.0
  Al  Al15  1  0.167  0.333  0.125  1.0
[/CIF]
.
The material structure described by RbMg14Al crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form RbMg12 cuboctahedra that share corners with six equivalent Rb(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Al(1) atoms to form distorted MgMg10Al2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Al cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Al(1) atom to form distorted MgRbMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Al cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Al cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Al(1) atom to form distorted MgRbMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Al cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Al cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); 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)RbMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. Al(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form AlMg12 cuboctahedra that share corners with six equivalent Al(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Al cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Al cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_RbMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.495
_cell_length_b   6.495
_cell_length_c   10.728
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   391.952
_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
  Rb  Rb0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.161  0.831  0.125  1.0
  Mg  Mg2  1  0.175  0.837  0.625  1.0
  Mg  Mg3  1  0.669  0.339  0.125  1.0
  Mg  Mg4  1  0.663  0.325  0.625  1.0
  Mg  Mg5  1  0.669  0.831  0.125  1.0
  Mg  Mg6  1  0.663  0.837  0.625  1.0
  Mg  Mg7  1  0.336  0.164  0.356  1.0
  Mg  Mg8  1  0.336  0.164  0.894  1.0
  Mg  Mg9  1  0.336  0.672  0.356  1.0
  Mg  Mg10  1  0.336  0.672  0.894  1.0
  Mg  Mg11  1  0.828  0.164  0.356  1.0
  Mg  Mg12  1  0.828  0.164  0.894  1.0
  Mg  Mg13  1  0.833  0.667  0.382  1.0
  Mg  Mg14  1  0.833  0.667  0.868  1.0
  Al  Al15  1  0.167  0.333  0.125  1.0
[/CIF]
.