The material structure described by LiMg14Ce crystallizes in the hexagonal P-6m2 space group. Li(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form LiMg12 cuboctahedra that share corners with six equivalent Li(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Ce2Mg10 cuboctahedra; edges with six equivalent Mg(1)Li2Mg10 cuboctahedra; edges with twelve Mg(3,3)LiCeMg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Li2Mg10 cuboctahedra; faces with six Mg(3,3)LiCeMg10 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 Li(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Li2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LiCeMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Li2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiCeMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ce2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Li2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LiCeMg10 cuboctahedra; faces with two equivalent Mg(1)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Ce2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiCeMg10 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four Mg(3,3); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ce2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Li2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)LiCeMg10 cuboctahedra; faces with two equivalent Mg(1)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiCeMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Li(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Ce(1) atom to form distorted MgLiCeMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LiCeMg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four Mg(3,3)LiCeMg10 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Ce2Mg10 cuboctahedra; faces with five equivalent Mg(1)Li2Mg10 cuboctahedra; and faces with six Mg(3,3)LiCeMg10 cuboctahedra. In the fifth 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 Ce(1) atom to form distorted MgLiCeMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LiCeMg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)LiCeMg10 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Ce2Mg10 cuboctahedra; faces with five equivalent Mg(1)Li2Mg10 cuboctahedra; and faces with six Mg(3,3)LiCeMg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); 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)LiCeMg10 cuboctahedra; edges with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with six equivalent Mg(1)Li2Mg10 cuboctahedra; edges with six Mg(3,3)LiCeMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Li(1)Mg12 cuboctahedra; faces with three Mg(2,2)Ce2Mg10 cuboctahedra; faces with three equivalent Mg(1)Li2Mg10 cuboctahedra; faces with three equivalent Ce(1)Mg12 cuboctahedra; and faces with six Mg(3,3)LiCeMg10 cuboctahedra. Ce(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Li2Mg10 cuboctahedra; edges with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with twelve Mg(3,3)LiCeMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; faces with six Mg(3,3)LiCeMg10 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_LiCeMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.543
_cell_length_b   6.543
_cell_length_c   10.292
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   381.567
_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  0.125  1.0
  Ce  Ce1  1  0.167  0.333  0.625  1.0
  Mg  Mg2  1  0.167  0.833  0.125  1.0
  Mg  Mg3  1  0.182  0.841  0.625  1.0
  Mg  Mg4  1  0.667  0.333  0.125  1.0
  Mg  Mg5  1  0.659  0.318  0.625  1.0
  Mg  Mg6  1  0.667  0.833  0.125  1.0
  Mg  Mg7  1  0.659  0.841  0.625  1.0
  Mg  Mg8  1  0.333  0.167  0.367  1.0
  Mg  Mg9  1  0.333  0.167  0.883  1.0
  Mg  Mg10  1  0.333  0.666  0.367  1.0
  Mg  Mg11  1  0.333  0.666  0.883  1.0
  Mg  Mg12  1  0.834  0.167  0.367  1.0
  Mg  Mg13  1  0.834  0.167  0.883  1.0
  Mg  Mg14  1  0.833  0.667  0.385  1.0
  Mg  Mg15  1  0.833  0.667  0.865  1.0
[/CIF]
.
The material structure described by LiMg14Ce crystallizes in the hexagonal P-6m2 space group. Li(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form LiMg12 cuboctahedra that share corners with six equivalent Li(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Ce2Mg10 cuboctahedra; edges with six equivalent Mg(1)Li2Mg10 cuboctahedra; edges with twelve Mg(3,3)LiCeMg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Li2Mg10 cuboctahedra; faces with six Mg(3,3)LiCeMg10 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 Li(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Li2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LiCeMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Li2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiCeMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ce2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Li2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LiCeMg10 cuboctahedra; faces with two equivalent Mg(1)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Ce2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiCeMg10 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four Mg(3,3); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ce2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Li2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)LiCeMg10 cuboctahedra; faces with two equivalent Mg(1)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; and faces with ten Mg(3,3)LiCeMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Li(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Ce(1) atom to form distorted MgLiCeMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LiCeMg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four Mg(3,3)LiCeMg10 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Ce2Mg10 cuboctahedra; faces with five equivalent Mg(1)Li2Mg10 cuboctahedra; and faces with six Mg(3,3)LiCeMg10 cuboctahedra. In the fifth 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 Ce(1) atom to form distorted MgLiCeMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LiCeMg10 cuboctahedra; edges with two equivalent Li(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)LiCeMg10 cuboctahedra;  a faceface with one Li(1)Mg12 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Ce2Mg10 cuboctahedra; faces with five equivalent Mg(1)Li2Mg10 cuboctahedra; and faces with six Mg(3,3)LiCeMg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); 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)LiCeMg10 cuboctahedra; edges with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with six equivalent Mg(1)Li2Mg10 cuboctahedra; edges with six Mg(3,3)LiCeMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Li(1)Mg12 cuboctahedra; faces with three Mg(2,2)Ce2Mg10 cuboctahedra; faces with three equivalent Mg(1)Li2Mg10 cuboctahedra; faces with three equivalent Ce(1)Mg12 cuboctahedra; and faces with six Mg(3,3)LiCeMg10 cuboctahedra. Ce(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Li2Mg10 cuboctahedra; edges with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with twelve Mg(3,3)LiCeMg10 cuboctahedra; faces with two equivalent Li(1)Mg12 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; faces with six Mg(3,3)LiCeMg10 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_LiCeMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.543
_cell_length_b   6.543
_cell_length_c   10.292
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   381.567
_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  0.125  1.0
  Ce  Ce1  1  0.167  0.333  0.625  1.0
  Mg  Mg2  1  0.167  0.833  0.125  1.0
  Mg  Mg3  1  0.182  0.841  0.625  1.0
  Mg  Mg4  1  0.667  0.333  0.125  1.0
  Mg  Mg5  1  0.659  0.318  0.625  1.0
  Mg  Mg6  1  0.667  0.833  0.125  1.0
  Mg  Mg7  1  0.659  0.841  0.625  1.0
  Mg  Mg8  1  0.333  0.167  0.367  1.0
  Mg  Mg9  1  0.333  0.167  0.883  1.0
  Mg  Mg10  1  0.333  0.666  0.367  1.0
  Mg  Mg11  1  0.333  0.666  0.883  1.0
  Mg  Mg12  1  0.834  0.167  0.367  1.0
  Mg  Mg13  1  0.834  0.167  0.883  1.0
  Mg  Mg14  1  0.833  0.667  0.385  1.0
  Mg  Mg15  1  0.833  0.667  0.865  1.0
[/CIF]
.