The material structure described by NaMg14Al crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six Mg(2,2) and six equivalent Mg(3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Na2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)NaMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Na2Mg10 cuboctahedra; and faces with six equivalent Mg(3)NaMg10Al cuboctahedra. There are five 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 Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight Mg(2,2)Na2Mg10 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)NaMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten equivalent Mg(3)NaMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Na2Mg10 cuboctahedra; edges with eight equivalent Mg(3)NaMg10Al cuboctahedra; faces with two equivalent Na(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)Na2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)NaMg10Al cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra, edges with two equivalent Na(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(2)Na2Mg10 cuboctahedra, edges with eight equivalent Mg(3)NaMg10Al cuboctahedra, faces with two equivalent Na(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)Na2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)NaMg10Al cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Al(1) atom to form distorted MgNaMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)NaMg10Al cuboctahedra; edges with two equivalent Na(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 equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaMg10Al cuboctahedra;  a faceface with one Na(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)Na2Mg10 cuboctahedra; and faces with six equivalent Mg(3)NaMg10Al cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)NaMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(3)NaMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three Mg(2,2)Na2Mg10 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)NaMg10Al cuboctahedra. Al(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form AlMg12 cuboctahedra that share corners with six equivalent Al(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve equivalent Mg(3)NaMg10Al cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(3)NaMg10Al cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.344
_cell_length_b   6.344
_cell_length_c   10.461
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   364.603
_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
  Na  Na0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.165  0.832  0.125  1.0
  Mg  Mg2  1  0.171  0.835  0.625  1.0
  Mg  Mg3  1  0.668  0.335  0.125  1.0
  Mg  Mg4  1  0.665  0.329  0.625  1.0
  Mg  Mg5  1  0.668  0.832  0.125  1.0
  Mg  Mg6  1  0.665  0.835  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.369  1.0
  Mg  Mg8  1  0.333  0.167  0.881  1.0
  Mg  Mg9  1  0.333  0.667  0.369  1.0
  Mg  Mg10  1  0.333  0.667  0.881  1.0
  Mg  Mg11  1  0.833  0.167  0.369  1.0
  Mg  Mg12  1  0.833  0.167  0.881  1.0
  Mg  Mg13  1  0.833  0.667  0.378  1.0
  Mg  Mg14  1  0.833  0.667  0.872  1.0
  Al  Al15  1  0.167  0.333  0.125  1.0
[/CIF]
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The material structure described by NaMg14Al crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six Mg(2,2) and six equivalent Mg(3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Na2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)NaMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Na2Mg10 cuboctahedra; and faces with six equivalent Mg(3)NaMg10Al cuboctahedra. There are five 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 Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight Mg(2,2)Na2Mg10 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)NaMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten equivalent Mg(3)NaMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Na2Mg10 cuboctahedra; edges with eight equivalent Mg(3)NaMg10Al cuboctahedra; faces with two equivalent Na(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)Na2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)NaMg10Al cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra, edges with two equivalent Na(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(2)Na2Mg10 cuboctahedra, edges with eight equivalent Mg(3)NaMg10Al cuboctahedra, faces with two equivalent Na(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)Na2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)NaMg10Al cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Al(1) atom to form distorted MgNaMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)NaMg10Al cuboctahedra; edges with two equivalent Na(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 equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaMg10Al cuboctahedra;  a faceface with one Na(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)Na2Mg10 cuboctahedra; and faces with six equivalent Mg(3)NaMg10Al cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)NaMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(3)NaMg10Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three Mg(2,2)Na2Mg10 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)NaMg10Al cuboctahedra. Al(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form AlMg12 cuboctahedra that share corners with six equivalent Al(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve equivalent Mg(3)NaMg10Al cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(3)NaMg10Al cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.344
_cell_length_b   6.344
_cell_length_c   10.461
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   364.603
_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
  Na  Na0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.165  0.832  0.125  1.0
  Mg  Mg2  1  0.171  0.835  0.625  1.0
  Mg  Mg3  1  0.668  0.335  0.125  1.0
  Mg  Mg4  1  0.665  0.329  0.625  1.0
  Mg  Mg5  1  0.668  0.832  0.125  1.0
  Mg  Mg6  1  0.665  0.835  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.369  1.0
  Mg  Mg8  1  0.333  0.167  0.881  1.0
  Mg  Mg9  1  0.333  0.667  0.369  1.0
  Mg  Mg10  1  0.333  0.667  0.881  1.0
  Mg  Mg11  1  0.833  0.167  0.369  1.0
  Mg  Mg12  1  0.833  0.167  0.881  1.0
  Mg  Mg13  1  0.833  0.667  0.378  1.0
  Mg  Mg14  1  0.833  0.667  0.872  1.0
  Al  Al15  1  0.167  0.333  0.125  1.0
[/CIF]
.