The material described by NaMg14Al crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Al(1) atoms to form NaMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Na(1)Mg10Al2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; edges with eight Mg(5,5)NaMg10Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Al(1)Na2Mg10 cuboctahedra; faces with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with four Mg(5,5)NaMg10Al cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10Al2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)NaMg10Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Na2Mg10 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(5,5)NaMg10Al cuboctahedra; and faces with six equivalent Mg(7)NaMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Al(1)Na2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; edges with eight Mg(5,5)NaMg10Al cuboctahedra; faces with two equivalent Na(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(5,5)NaMg10Al cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Al(1) atoms to form distorted MgNa2Mg8Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with six equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(5)NaMg10Al cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Al(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5)NaMg10Al cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10Al2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; corners with four equivalent Al(1)Na2Mg10 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(5)NaMg10Al cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; and faces with eight Mg(5,5)NaMg10Al cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Na(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Al(1) atom to form distorted MgNaMg10Al cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5)NaMg10Al cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Mg(5)NaMg10Al cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; and faces with four Mg(5,5)NaMg10Al cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Na(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Al(1) atom to form distorted MgNaMg10Al cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5)NaMg10Al cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Mg(5)NaMg10Al cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; and faces with four Mg(5,5)NaMg10Al cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5); and one Al(1) atom to form distorted MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11Al cuboctahedra; corners with eight Mg(5,5)NaMg10Al cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with four Mg(5,5)NaMg10Al cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Al(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with three equivalent Na(1)Mg10Al2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; and faces with four Mg(5,5)NaMg10Al cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Na(1); one Mg(2); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(6); and four Mg(5,5) atoms to form distorted MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with six equivalent Mg(7)NaMg11 cuboctahedra; corners with eight Mg(5,5)NaMg10Al cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with four Mg(5,5)NaMg10Al cuboctahedra;  a faceface with one Na(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Al(1)Na2Mg10 cuboctahedra; and faces with four Mg(5,5)NaMg10Al cuboctahedra. In the ninth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10Al2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; corners with four equivalent Al(1)Na2Mg10 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(5)NaMg10Al cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; and faces with eight Mg(5,5)NaMg10Al cuboctahedra. Al(1) is bonded to two equivalent Na(1); two equivalent Mg(6); four equivalent Mg(3); and four Mg(5,5) atoms to form AlNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Al(1)Na2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with eight Mg(5,5)NaMg10Al cuboctahedra; faces with two equivalent Na(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with four Mg(5,5)NaMg10Al cuboctahedra; and faces with six equivalent Mg(7)NaMg11 cuboctahedra. is represented by the CIF card [CIF]
data_NaMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.357
_cell_length_b   6.383
_cell_length_c   10.424
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.136
_symmetry_Int_Tables_number   1
_cell_volume   365.787
_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  0.166  0.833  0.125  1.0
  Mg  Mg1  1  0.167  0.333  0.625  1.0
  Mg  Mg2  1  0.167  0.834  0.625  1.0
  Mg  Mg3  1  0.667  0.337  0.125  1.0
  Mg  Mg4  1  0.666  0.333  0.625  1.0
  Mg  Mg5  1  0.667  0.830  0.125  1.0
  Mg  Mg6  1  0.666  0.833  0.625  1.0
  Mg  Mg7  1  0.332  0.171  0.374  1.0
  Mg  Mg8  1  0.332  0.171  0.876  1.0
  Mg  Mg9  1  0.332  0.662  0.374  1.0
  Mg  Mg10  1  0.332  0.662  0.876  1.0
  Mg  Mg11  1  0.836  0.168  0.371  1.0
  Mg  Mg12  1  0.836  0.168  0.879  1.0
  Mg  Mg13  1  0.830  0.665  0.378  1.0
  Mg  Mg14  1  0.830  0.665  0.872  1.0
  Al  Al15  1  0.171  0.336  0.125  1.0
[/CIF]
.
The material described by NaMg14Al crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Al(1) atoms to form NaMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Na(1)Mg10Al2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; edges with eight Mg(5,5)NaMg10Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Al(1)Na2Mg10 cuboctahedra; faces with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with four Mg(5,5)NaMg10Al cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10Al2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)NaMg10Al cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Na2Mg10 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(5,5)NaMg10Al cuboctahedra; and faces with six equivalent Mg(7)NaMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Al(1)Na2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; edges with eight Mg(5,5)NaMg10Al cuboctahedra; faces with two equivalent Na(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(5,5)NaMg10Al cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Al(1) atoms to form distorted MgNa2Mg8Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with six equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(5)NaMg10Al cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Al(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5)NaMg10Al cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10Al2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; corners with four equivalent Al(1)Na2Mg10 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(5)NaMg10Al cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; and faces with eight Mg(5,5)NaMg10Al cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Na(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Al(1) atom to form distorted MgNaMg10Al cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5)NaMg10Al cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Mg(5)NaMg10Al cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; and faces with four Mg(5,5)NaMg10Al cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Na(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Al(1) atom to form distorted MgNaMg10Al cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5)NaMg10Al cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with two equivalent Mg(5)NaMg10Al cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; and faces with four Mg(5,5)NaMg10Al cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5); and one Al(1) atom to form distorted MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11Al cuboctahedra; corners with eight Mg(5,5)NaMg10Al cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent Al(1)Na2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with four Mg(5,5)NaMg10Al cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Al(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with three equivalent Na(1)Mg10Al2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; and faces with four Mg(5,5)NaMg10Al cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Na(1); one Mg(2); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(6); and four Mg(5,5) atoms to form distorted MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with six equivalent Mg(7)NaMg11 cuboctahedra; corners with eight Mg(5,5)NaMg10Al cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with four Mg(5,5)NaMg10Al cuboctahedra;  a faceface with one Na(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Al(1)Na2Mg10 cuboctahedra; and faces with four Mg(5,5)NaMg10Al cuboctahedra. In the ninth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10Al2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; corners with four equivalent Al(1)Na2Mg10 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(5)NaMg10Al cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; and faces with eight Mg(5,5)NaMg10Al cuboctahedra. Al(1) is bonded to two equivalent Na(1); two equivalent Mg(6); four equivalent Mg(3); and four Mg(5,5) atoms to form AlNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Al(1)Na2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Na(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; edges with eight Mg(5,5)NaMg10Al cuboctahedra; faces with two equivalent Na(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four equivalent Mg(3)Na2Mg8Al2 cuboctahedra; faces with four Mg(5,5)NaMg10Al cuboctahedra; and faces with six equivalent Mg(7)NaMg11 cuboctahedra. is represented by the CIF card [CIF]
data_NaMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.357
_cell_length_b   6.383
_cell_length_c   10.424
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.136
_symmetry_Int_Tables_number   1
_cell_volume   365.787
_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  0.166  0.833  0.125  1.0
  Mg  Mg1  1  0.167  0.333  0.625  1.0
  Mg  Mg2  1  0.167  0.834  0.625  1.0
  Mg  Mg3  1  0.667  0.337  0.125  1.0
  Mg  Mg4  1  0.666  0.333  0.625  1.0
  Mg  Mg5  1  0.667  0.830  0.125  1.0
  Mg  Mg6  1  0.666  0.833  0.625  1.0
  Mg  Mg7  1  0.332  0.171  0.374  1.0
  Mg  Mg8  1  0.332  0.171  0.876  1.0
  Mg  Mg9  1  0.332  0.662  0.374  1.0
  Mg  Mg10  1  0.332  0.662  0.876  1.0
  Mg  Mg11  1  0.836  0.168  0.371  1.0
  Mg  Mg12  1  0.836  0.168  0.879  1.0
  Mg  Mg13  1  0.830  0.665  0.378  1.0
  Mg  Mg14  1  0.830  0.665  0.872  1.0
  Al  Al15  1  0.171  0.336  0.125  1.0
[/CIF]
.