The structure described by LiMg14Al crystallizes in the hexagonal P-6m2 space group. Li(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form LiMg12 cuboctahedra that share corners with six equivalent Li(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra, edges with six equivalent Mg(2)Li2Mg10 cuboctahedra, edges with twelve equivalent Mg(3)LiMg10Al cuboctahedra, faces with two equivalent Al(1)Mg12 cuboctahedra, faces with six equivalent Mg(2)Li2Mg10 cuboctahedra, faces with six equivalent Mg(3)LiMg10Al cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are four 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 Li(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(2)Li2Mg10 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)LiMg10Al cuboctahedra, faces with two equivalent Mg(2)Li2Mg10 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 equivalent Mg(3)LiMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra, edges with two equivalent Li(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)Li2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(3)LiMg10Al cuboctahedra, faces with two equivalent Li(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)Li2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)LiMg10Al cuboctahedra. In the third Mg site, Mg(3) is bonded to one Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Al(1) atom to form MgLiMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with fourteen equivalent Mg(3)LiMg10Al cuboctahedra, edges with two equivalent Li(1)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)LiMg10Al cuboctahedra, edges with four equivalent Mg(1)Mg10Al2 cuboctahedra,  a faceface with one Li(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with five equivalent Mg(2)Li2Mg10 cuboctahedra, faces with five equivalent Mg(1)Mg10Al2 cuboctahedra, and faces with six equivalent Mg(3)LiMg10Al cuboctahedra. In the fourth Mg site, Mg(4) is bonded to three equivalent Mg(1), three equivalent Mg(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)LiMg10Al cuboctahedra, edges with six equivalent Mg(2)Li2Mg10 cuboctahedra, edges with six equivalent Mg(3)LiMg10Al cuboctahedra, edges with six equivalent Mg(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)Mg12 cuboctahedra, faces with three equivalent Mg(2)Li2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg10Al2 cuboctahedra, faces with three equivalent Al(1)Mg12 cuboctahedra, and faces with six equivalent Mg(3)LiMg10Al 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 equivalent Mg(2)Li2Mg10 cuboctahedra, edges with six equivalent Mg(1)Mg10Al2 cuboctahedra, edges with twelve equivalent Mg(3)LiMg10Al cuboctahedra, faces with two equivalent Li(1)Mg12 cuboctahedra, faces with six equivalent Mg(3)LiMg10Al cuboctahedra, faces with six equivalent Mg(1)Mg10Al2 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF card [CIF]
data_LiMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.299
_cell_length_b   6.299
_cell_length_c   10.366
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   356.164
_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
  Li  Li0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.125  1.0
  Mg  Mg2  1  0.168  0.834  0.625  1.0
  Mg  Mg3  1  0.667  0.334  0.125  1.0
  Mg  Mg4  1  0.666  0.332  0.625  1.0
  Mg  Mg5  1  0.667  0.833  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.332  0.168  0.374  1.0
  Mg  Mg8  1  0.332  0.168  0.876  1.0
  Mg  Mg9  1  0.332  0.664  0.374  1.0
  Mg  Mg10  1  0.332  0.664  0.876  1.0
  Mg  Mg11  1  0.836  0.168  0.374  1.0
  Mg  Mg12  1  0.836  0.168  0.876  1.0
  Mg  Mg13  1  0.833  0.667  0.376  1.0
  Mg  Mg14  1  0.833  0.667  0.874  1.0
  Al  Al15  1  0.167  0.333  0.125  1.0
[/CIF]
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The structure described by LiMg14Al crystallizes in the hexagonal P-6m2 space group. Li(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form LiMg12 cuboctahedra that share corners with six equivalent Li(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra, edges with six equivalent Mg(2)Li2Mg10 cuboctahedra, edges with twelve equivalent Mg(3)LiMg10Al cuboctahedra, faces with two equivalent Al(1)Mg12 cuboctahedra, faces with six equivalent Mg(2)Li2Mg10 cuboctahedra, faces with six equivalent Mg(3)LiMg10Al cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are four 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 Li(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(2)Li2Mg10 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)LiMg10Al cuboctahedra, faces with two equivalent Mg(2)Li2Mg10 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 equivalent Mg(3)LiMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra, edges with two equivalent Li(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)Li2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(3)LiMg10Al cuboctahedra, faces with two equivalent Li(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)Li2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)LiMg10Al cuboctahedra. In the third Mg site, Mg(3) is bonded to one Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Al(1) atom to form MgLiMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with fourteen equivalent Mg(3)LiMg10Al cuboctahedra, edges with two equivalent Li(1)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)LiMg10Al cuboctahedra, edges with four equivalent Mg(1)Mg10Al2 cuboctahedra,  a faceface with one Li(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with five equivalent Mg(2)Li2Mg10 cuboctahedra, faces with five equivalent Mg(1)Mg10Al2 cuboctahedra, and faces with six equivalent Mg(3)LiMg10Al cuboctahedra. In the fourth Mg site, Mg(4) is bonded to three equivalent Mg(1), three equivalent Mg(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)LiMg10Al cuboctahedra, edges with six equivalent Mg(2)Li2Mg10 cuboctahedra, edges with six equivalent Mg(3)LiMg10Al cuboctahedra, edges with six equivalent Mg(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)Mg12 cuboctahedra, faces with three equivalent Mg(2)Li2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg10Al2 cuboctahedra, faces with three equivalent Al(1)Mg12 cuboctahedra, and faces with six equivalent Mg(3)LiMg10Al 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 equivalent Mg(2)Li2Mg10 cuboctahedra, edges with six equivalent Mg(1)Mg10Al2 cuboctahedra, edges with twelve equivalent Mg(3)LiMg10Al cuboctahedra, faces with two equivalent Li(1)Mg12 cuboctahedra, faces with six equivalent Mg(3)LiMg10Al cuboctahedra, faces with six equivalent Mg(1)Mg10Al2 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF card [CIF]
data_LiMg14Al
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.299
_cell_length_b   6.299
_cell_length_c   10.366
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   356.164
_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
  Li  Li0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.125  1.0
  Mg  Mg2  1  0.168  0.834  0.625  1.0
  Mg  Mg3  1  0.667  0.334  0.125  1.0
  Mg  Mg4  1  0.666  0.332  0.625  1.0
  Mg  Mg5  1  0.667  0.833  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.332  0.168  0.374  1.0
  Mg  Mg8  1  0.332  0.168  0.876  1.0
  Mg  Mg9  1  0.332  0.664  0.374  1.0
  Mg  Mg10  1  0.332  0.664  0.876  1.0
  Mg  Mg11  1  0.836  0.168  0.374  1.0
  Mg  Mg12  1  0.836  0.168  0.876  1.0
  Mg  Mg13  1  0.833  0.667  0.376  1.0
  Mg  Mg14  1  0.833  0.667  0.874  1.0
  Al  Al15  1  0.167  0.333  0.125  1.0
[/CIF]
.