The material structure described by LiMg14La crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form distorted LiLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Li(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent La(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with eight equivalent Mg(5)LiLaMg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent La(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, and faces with six equivalent Mg(7)LaMg11 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent La(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiLaMg10 cuboctahedra, faces with two equivalent Li(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)LaMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Li(1)La2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)LaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiLaMg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent La(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Li(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms to form distorted MgLi2La2Mg8 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)Li2La2Mg8 cuboctahedra, edges with two equivalent Li(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with two equivalent La(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(7)LaMg11 cuboctahedra, edges with four equivalent Mg(5)LiLaMg10 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Li(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent La(1)Li2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LiLaMg10 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 Li(1)La2Mg10 cuboctahedra, corners with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, corners with four equivalent La(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(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(7)LaMg11 cuboctahedra, edges with four equivalent Mg(5)LiLaMg10 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with two equivalent Mg(6)LiMg11 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, and faces with eight equivalent Mg(5)LiLaMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Li(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 La(1) atom to form distorted MgLiLaMg10 cuboctahedra that share corners with four equivalent Mg(7)LaMg11 cuboctahedra, corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with ten equivalent Mg(5)LiLaMg10 cuboctahedra, edges with two equivalent Li(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(7)LaMg11 cuboctahedra, edges with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with two equivalent Mg(5)LiLaMg10 cuboctahedra, edges with two equivalent Mg(6)LiMg11 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 La(1)Li2Mg10 cuboctahedra,  a faceface with one Li(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Li(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgLiMg11 cuboctahedra that share corners with four equivalent Mg(7)LaMg11 cuboctahedra, corners with six equivalent Mg(6)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)LiLaMg10 cuboctahedra, edges with two equivalent Li(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(7)LaMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with four equivalent Mg(5)LiLaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent La(1)Li2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LiLaMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with six equivalent Mg(7)LaMg11 cuboctahedra, corners with eight equivalent Mg(5)LiLaMg10 cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent La(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with four equivalent Mg(5)LiLaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)La2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)LiLaMg10 cuboctahedra. La(1) is bonded to two equivalent Li(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form LaLi2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent La(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Li(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(7)LaMg11 cuboctahedra, edges with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with eight equivalent Mg(5)LiLaMg10 cuboctahedra, faces with two equivalent Li(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. is represented by the CIF file [CIF]
data_LiLaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.603
_cell_length_b   6.518
_cell_length_c   10.394
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.575
_symmetry_Int_Tables_number   1
_cell_volume   389.064
_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  0.177  0.339  0.125  1.0
  La  La1  1  0.162  0.831  0.125  1.0
  Mg  Mg2  1  0.165  0.333  0.625  1.0
  Mg  Mg3  1  0.166  0.833  0.625  1.0
  Mg  Mg4  1  0.657  0.338  0.125  1.0
  Mg  Mg5  1  0.667  0.333  0.625  1.0
  Mg  Mg6  1  0.657  0.819  0.125  1.0
  Mg  Mg7  1  0.667  0.834  0.625  1.0
  Mg  Mg8  1  0.337  0.174  0.383  1.0
  Mg  Mg9  1  0.337  0.174  0.867  1.0
  Mg  Mg10  1  0.337  0.664  0.383  1.0
  Mg  Mg11  1  0.337  0.664  0.867  1.0
  Mg  Mg12  1  0.837  0.169  0.369  1.0
  Mg  Mg13  1  0.837  0.169  0.881  1.0
  Mg  Mg14  1  0.829  0.665  0.383  1.0
  Mg  Mg15  1  0.829  0.665  0.867  1.0
[/CIF]
.
The material structure described by LiMg14La crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form distorted LiLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Li(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent La(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with eight equivalent Mg(5)LiLaMg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent La(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, and faces with six equivalent Mg(7)LaMg11 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent La(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiLaMg10 cuboctahedra, faces with two equivalent Li(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)LaMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Li(1)La2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)LaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiLaMg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent La(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Li(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms to form distorted MgLi2La2Mg8 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)Li2La2Mg8 cuboctahedra, edges with two equivalent Li(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with two equivalent La(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(7)LaMg11 cuboctahedra, edges with four equivalent Mg(5)LiLaMg10 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Li(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent La(1)Li2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LiLaMg10 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 Li(1)La2Mg10 cuboctahedra, corners with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, corners with four equivalent La(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(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(7)LaMg11 cuboctahedra, edges with four equivalent Mg(5)LiLaMg10 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with two equivalent Mg(6)LiMg11 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, and faces with eight equivalent Mg(5)LiLaMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Li(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 La(1) atom to form distorted MgLiLaMg10 cuboctahedra that share corners with four equivalent Mg(7)LaMg11 cuboctahedra, corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with ten equivalent Mg(5)LiLaMg10 cuboctahedra, edges with two equivalent Li(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(7)LaMg11 cuboctahedra, edges with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with two equivalent Mg(5)LiLaMg10 cuboctahedra, edges with two equivalent Mg(6)LiMg11 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 La(1)Li2Mg10 cuboctahedra,  a faceface with one Li(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Li(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgLiMg11 cuboctahedra that share corners with four equivalent Mg(7)LaMg11 cuboctahedra, corners with six equivalent Mg(6)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)LiLaMg10 cuboctahedra, edges with two equivalent Li(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(7)LaMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with four equivalent Mg(5)LiLaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent La(1)Li2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LiLaMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with six equivalent Mg(7)LaMg11 cuboctahedra, corners with eight equivalent Mg(5)LiLaMg10 cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent La(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with four equivalent Mg(5)LiLaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)La2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)LiLaMg10 cuboctahedra. La(1) is bonded to two equivalent Li(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form LaLi2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent La(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Li(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(7)LaMg11 cuboctahedra, edges with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, edges with eight equivalent Mg(5)LiLaMg10 cuboctahedra, faces with two equivalent Li(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Li2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)LiLaMg10 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. is represented by the CIF file [CIF]
data_LiLaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.603
_cell_length_b   6.518
_cell_length_c   10.394
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.575
_symmetry_Int_Tables_number   1
_cell_volume   389.064
_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  0.177  0.339  0.125  1.0
  La  La1  1  0.162  0.831  0.125  1.0
  Mg  Mg2  1  0.165  0.333  0.625  1.0
  Mg  Mg3  1  0.166  0.833  0.625  1.0
  Mg  Mg4  1  0.657  0.338  0.125  1.0
  Mg  Mg5  1  0.667  0.333  0.625  1.0
  Mg  Mg6  1  0.657  0.819  0.125  1.0
  Mg  Mg7  1  0.667  0.834  0.625  1.0
  Mg  Mg8  1  0.337  0.174  0.383  1.0
  Mg  Mg9  1  0.337  0.174  0.867  1.0
  Mg  Mg10  1  0.337  0.664  0.383  1.0
  Mg  Mg11  1  0.337  0.664  0.867  1.0
  Mg  Mg12  1  0.837  0.169  0.369  1.0
  Mg  Mg13  1  0.837  0.169  0.881  1.0
  Mg  Mg14  1  0.829  0.665  0.383  1.0
  Mg  Mg15  1  0.829  0.665  0.867  1.0
[/CIF]
.