The structure described by KMg14Al crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)K2Mg10 cuboctahedra; edges with twelve Mg(3,3)KMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six Mg(2,2)K2Mg10 cuboctahedra; faces with six Mg(3,3)KMg10Al cuboctahedra; and faces with six equivalent Mg(4)Mg12 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 equivalent Mg(3), and two equivalent Al(1) atoms to form MgMg10Al2 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight Mg(2,2)K2Mg10 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 equivalent Mg(3)KMg10Al cuboctahedra; faces with two equivalent Mg(2)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten Mg(3,3)KMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10Al cuboctahedra; faces with two equivalent K(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)K2Mg10 cuboctahedra; and faces with ten Mg(3,3)KMg10Al cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)KMg10Al cuboctahedra; faces with two equivalent K(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)K2Mg10 cuboctahedra; and faces with ten Mg(3,3)KMg10Al cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one K(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 MgKMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)KMg10Al cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four Mg(3,3)KMg10Al cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)K2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six Mg(3,3)KMg10Al cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one K(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 MgKMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)KMg10Al cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(3)KMg10Al cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)K2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six Mg(3,3)KMg10Al 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)KMg10Al cuboctahedra; edges with six Mg(2,2)K2Mg10 cuboctahedra; edges with six Mg(3,3)KMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg12 cuboctahedra; faces with three Mg(2,2)K2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six Mg(3,3)KMg10Al 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)K2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve Mg(3,3)KMg10Al cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with six Mg(3,3)KMg10Al cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.473
_cell_length_b   6.473
_cell_length_c   10.622
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   385.458
_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
  K  K0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.164  0.832  0.125  1.0
  Mg  Mg2  1  0.175  0.837  0.625  1.0
  Mg  Mg3  1  0.668  0.336  0.125  1.0
  Mg  Mg4  1  0.663  0.325  0.625  1.0
  Mg  Mg5  1  0.668  0.832  0.125  1.0
  Mg  Mg6  1  0.663  0.837  0.625  1.0
  Mg  Mg7  1  0.336  0.164  0.359  1.0
  Mg  Mg8  1  0.336  0.164  0.891  1.0
  Mg  Mg9  1  0.336  0.672  0.359  1.0
  Mg  Mg10  1  0.336  0.672  0.891  1.0
  Mg  Mg11  1  0.828  0.164  0.359  1.0
  Mg  Mg12  1  0.828  0.164  0.891  1.0
  Mg  Mg13  1  0.833  0.667  0.381  1.0
  Mg  Mg14  1  0.833  0.667  0.869  1.0
  Al  Al15  1  0.167  0.333  0.125  1.0
[/CIF]
.
The structure described by KMg14Al crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)K2Mg10 cuboctahedra; edges with twelve Mg(3,3)KMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six Mg(2,2)K2Mg10 cuboctahedra; faces with six Mg(3,3)KMg10Al cuboctahedra; and faces with six equivalent Mg(4)Mg12 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 equivalent Mg(3), and two equivalent Al(1) atoms to form MgMg10Al2 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight Mg(2,2)K2Mg10 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 equivalent Mg(3)KMg10Al cuboctahedra; faces with two equivalent Mg(2)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten Mg(3,3)KMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10Al cuboctahedra; faces with two equivalent K(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)K2Mg10 cuboctahedra; and faces with ten Mg(3,3)KMg10Al cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)KMg10Al cuboctahedra; faces with two equivalent K(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)K2Mg10 cuboctahedra; and faces with ten Mg(3,3)KMg10Al cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one K(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 MgKMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)KMg10Al cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four Mg(3,3)KMg10Al cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)K2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six Mg(3,3)KMg10Al cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one K(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 MgKMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)KMg10Al cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(3)KMg10Al cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)K2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six Mg(3,3)KMg10Al 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)KMg10Al cuboctahedra; edges with six Mg(2,2)K2Mg10 cuboctahedra; edges with six Mg(3,3)KMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg12 cuboctahedra; faces with three Mg(2,2)K2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six Mg(3,3)KMg10Al 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)K2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve Mg(3,3)KMg10Al cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with six Mg(3,3)KMg10Al cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.473
_cell_length_b   6.473
_cell_length_c   10.622
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   385.458
_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
  K  K0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.164  0.832  0.125  1.0
  Mg  Mg2  1  0.175  0.837  0.625  1.0
  Mg  Mg3  1  0.668  0.336  0.125  1.0
  Mg  Mg4  1  0.663  0.325  0.625  1.0
  Mg  Mg5  1  0.668  0.832  0.125  1.0
  Mg  Mg6  1  0.663  0.837  0.625  1.0
  Mg  Mg7  1  0.336  0.164  0.359  1.0
  Mg  Mg8  1  0.336  0.164  0.891  1.0
  Mg  Mg9  1  0.336  0.672  0.359  1.0
  Mg  Mg10  1  0.336  0.672  0.891  1.0
  Mg  Mg11  1  0.828  0.164  0.359  1.0
  Mg  Mg12  1  0.828  0.164  0.891  1.0
  Mg  Mg13  1  0.833  0.667  0.381  1.0
  Mg  Mg14  1  0.833  0.667  0.869  1.0
  Al  Al15  1  0.167  0.333  0.125  1.0
[/CIF]
.