The material described by LiMg14Y crystallizes in the hexagonal P-6m2 space group. Li(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form LiMg12 cuboctahedra that share corners with six equivalent Li(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Y2Mg10 cuboctahedra; edges with six equivalent Mg(2)Li2Mg10 cuboctahedra; edges with twelve Mg(3,3)LiYMg10 cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Li2Mg10 cuboctahedra; faces with six Mg(3,3)LiYMg10 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 Mg(1,1); four Mg(3,3); and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Y2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(1,1)Y2Mg10 cuboctahedra; edges with eight Mg(3,3)LiYMg10 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with four Mg(1,1)Y2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiYMg10 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 Mg(3,3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Y(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Li2Mg10 cuboctahedra; corners with eight Mg(1,1)Y2Mg10 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 Mg(3,3)LiYMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Y2Mg10 cuboctahedra; faces with four equivalent Mg(2)Li2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiYMg10 cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Y2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Y2Mg10 cuboctahedra; edges with eight equivalent Mg(3)LiYMg10 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Y2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiYMg10 cuboctahedra. In the fourth 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 Y(1) atom to form distorted MgLiYMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LiYMg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)LiYMg10 cuboctahedra; edges with four equivalent Mg(1)Y2Mg10 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra;  a faceface with one Y(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Li2Mg10 cuboctahedra; faces with five Mg(1,1)Y2Mg10 cuboctahedra; and faces with six Mg(3,3)LiYMg10 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Li(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Y(1) atom to form distorted MgLiYMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LiYMg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four Mg(3,3)LiYMg10 cuboctahedra; edges with four Mg(1,1)Y2Mg10 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra;  a faceface with one Y(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Li2Mg10 cuboctahedra; faces with five Mg(1,1)Y2Mg10 cuboctahedra; and faces with six Mg(3,3)LiYMg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(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)LiYMg10 cuboctahedra; edges with six equivalent Mg(2)Li2Mg10 cuboctahedra; edges with six Mg(3,3)LiYMg10 cuboctahedra; edges with six Mg(1,1)Y2Mg10 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 Mg(1,1)Y2Mg10 cuboctahedra; faces with three equivalent Y(1)Mg12 cuboctahedra; and faces with six Mg(3,3)LiYMg10 cuboctahedra. Y(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form YMg12 cuboctahedra that share corners with six equivalent Y(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Li2Mg10 cuboctahedra; edges with six Mg(1,1)Y2Mg10 cuboctahedra; edges with twelve Mg(3,3)LiYMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with six Mg(3,3)LiYMg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(1,1)Y2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_LiYMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.504
_cell_length_b   6.504
_cell_length_c   10.300
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   377.382
_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
  Y  Y1  1  0.167  0.333  0.125  1.0
  Mg  Mg2  1  0.175  0.838  0.125  1.0
  Mg  Mg3  1  0.169  0.834  0.625  1.0
  Mg  Mg4  1  0.662  0.325  0.125  1.0
  Mg  Mg5  1  0.666  0.331  0.625  1.0
  Mg  Mg6  1  0.662  0.838  0.125  1.0
  Mg  Mg7  1  0.666  0.834  0.625  1.0
  Mg  Mg8  1  0.333  0.167  0.380  1.0
  Mg  Mg9  1  0.333  0.167  0.870  1.0
  Mg  Mg10  1  0.333  0.666  0.380  1.0
  Mg  Mg11  1  0.333  0.666  0.870  1.0
  Mg  Mg12  1  0.834  0.167  0.380  1.0
  Mg  Mg13  1  0.834  0.167  0.870  1.0
  Mg  Mg14  1  0.833  0.667  0.372  1.0
  Mg  Mg15  1  0.833  0.667  0.878  1.0
[/CIF]
.
The material described by LiMg14Y crystallizes in the hexagonal P-6m2 space group. Li(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form LiMg12 cuboctahedra that share corners with six equivalent Li(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Y2Mg10 cuboctahedra; edges with six equivalent Mg(2)Li2Mg10 cuboctahedra; edges with twelve Mg(3,3)LiYMg10 cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Li2Mg10 cuboctahedra; faces with six Mg(3,3)LiYMg10 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 Mg(1,1); four Mg(3,3); and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Y2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(1,1)Y2Mg10 cuboctahedra; edges with eight Mg(3,3)LiYMg10 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with four Mg(1,1)Y2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiYMg10 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 Mg(3,3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Y(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Li2Mg10 cuboctahedra; corners with eight Mg(1,1)Y2Mg10 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 Mg(3,3)LiYMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Y2Mg10 cuboctahedra; faces with four equivalent Mg(2)Li2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiYMg10 cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Y2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Y2Mg10 cuboctahedra; edges with eight equivalent Mg(3)LiYMg10 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Y(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Y2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiYMg10 cuboctahedra. In the fourth 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 Y(1) atom to form distorted MgLiYMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LiYMg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)LiYMg10 cuboctahedra; edges with four equivalent Mg(1)Y2Mg10 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra;  a faceface with one Y(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Li2Mg10 cuboctahedra; faces with five Mg(1,1)Y2Mg10 cuboctahedra; and faces with six Mg(3,3)LiYMg10 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Li(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Y(1) atom to form distorted MgLiYMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LiYMg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Y(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four Mg(3,3)LiYMg10 cuboctahedra; edges with four Mg(1,1)Y2Mg10 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra;  a faceface with one Y(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Li2Mg10 cuboctahedra; faces with five Mg(1,1)Y2Mg10 cuboctahedra; and faces with six Mg(3,3)LiYMg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(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)LiYMg10 cuboctahedra; edges with six equivalent Mg(2)Li2Mg10 cuboctahedra; edges with six Mg(3,3)LiYMg10 cuboctahedra; edges with six Mg(1,1)Y2Mg10 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 Mg(1,1)Y2Mg10 cuboctahedra; faces with three equivalent Y(1)Mg12 cuboctahedra; and faces with six Mg(3,3)LiYMg10 cuboctahedra. Y(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form YMg12 cuboctahedra that share corners with six equivalent Y(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Li2Mg10 cuboctahedra; edges with six Mg(1,1)Y2Mg10 cuboctahedra; edges with twelve Mg(3,3)LiYMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with six Mg(3,3)LiYMg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(1,1)Y2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_LiYMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.504
_cell_length_b   6.504
_cell_length_c   10.300
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   377.382
_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
  Y  Y1  1  0.167  0.333  0.125  1.0
  Mg  Mg2  1  0.175  0.838  0.125  1.0
  Mg  Mg3  1  0.169  0.834  0.625  1.0
  Mg  Mg4  1  0.662  0.325  0.125  1.0
  Mg  Mg5  1  0.666  0.331  0.625  1.0
  Mg  Mg6  1  0.662  0.838  0.125  1.0
  Mg  Mg7  1  0.666  0.834  0.625  1.0
  Mg  Mg8  1  0.333  0.167  0.380  1.0
  Mg  Mg9  1  0.333  0.167  0.870  1.0
  Mg  Mg10  1  0.333  0.666  0.380  1.0
  Mg  Mg11  1  0.333  0.666  0.870  1.0
  Mg  Mg12  1  0.834  0.167  0.380  1.0
  Mg  Mg13  1  0.834  0.167  0.870  1.0
  Mg  Mg14  1  0.833  0.667  0.372  1.0
  Mg  Mg15  1  0.833  0.667  0.878  1.0
[/CIF]
.