The crystal structure described by CsLiMg14 crystallizes in the orthorhombic Amm2 space group. Cs(1) is bonded to two equivalent Li(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CsLi2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cs(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)CsMg11 cuboctahedra, edges with eight equivalent Mg(5)CsLiMg10 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)CsLiMg10 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. Li(1) is bonded in a 8-coordinate geometry to two equivalent Cs(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms. 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 Cs(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 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)CsLiMg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)CsLiMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CsMg11 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 six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CsMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CsLiMg10 cuboctahedra, faces with two equivalent Cs(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)CsLiMg10 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 in a 12-coordinate geometry to two equivalent Cs(1), two equivalent Li(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. 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 Cs(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(5)CsLiMg10 cuboctahedra, edges with four equivalent Mg(7)CsMg11 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)CsMg11 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)CsLiMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Cs(1), one Li(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgCsLiMg10 cuboctahedra that share corners with four equivalent Mg(7)CsMg11 cuboctahedra, corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with ten equivalent Mg(5)CsLiMg10 cuboctahedra, edges with two equivalent Cs(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(5)CsLiMg10 cuboctahedra, edges with two equivalent Mg(7)CsMg11 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,  a faceface with one Cs(1)Li2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with four equivalent Mg(5)CsLiMg10 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)CsMg11 cuboctahedra, corners with six equivalent Mg(6)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)CsLiMg10 cuboctahedra, edges with two equivalent Mg(7)CsMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(5)CsLiMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Cs(1)Li2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)CsLiMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Cs(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgCsMg11 cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with six equivalent Mg(7)CsMg11 cuboctahedra, corners with eight equivalent Mg(5)CsLiMg10 cuboctahedra, edges with two equivalent Cs(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)CsLiMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Cs(1)Li2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)CsLiMg10 cuboctahedra. is represented by the CIF file [CIF]
data_CsLiMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.578
_cell_length_b   6.442
_cell_length_c   10.886
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.322
_symmetry_Int_Tables_number   1
_cell_volume   402.214
_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
  Cs  Cs0  1  0.162  0.831  0.125  1.0
  Li  Li1  1  0.168  0.334  0.125  1.0
  Mg  Mg2  1  0.163  0.332  0.625  1.0
  Mg  Mg3  1  0.165  0.832  0.625  1.0
  Mg  Mg4  1  0.665  0.334  0.125  1.0
  Mg  Mg5  1  0.667  0.332  0.625  1.0
  Mg  Mg6  1  0.665  0.831  0.125  1.0
  Mg  Mg7  1  0.667  0.835  0.625  1.0
  Mg  Mg8  1  0.341  0.178  0.394  1.0
  Mg  Mg9  1  0.341  0.178  0.856  1.0
  Mg  Mg10  1  0.341  0.663  0.394  1.0
  Mg  Mg11  1  0.341  0.663  0.856  1.0
  Mg  Mg12  1  0.835  0.168  0.372  1.0
  Mg  Mg13  1  0.835  0.168  0.878  1.0
  Mg  Mg14  1  0.822  0.661  0.393  1.0
  Mg  Mg15  1  0.822  0.661  0.857  1.0
[/CIF]
.
The crystal structure described by CsLiMg14 crystallizes in the orthorhombic Amm2 space group. Cs(1) is bonded to two equivalent Li(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CsLi2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cs(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)CsMg11 cuboctahedra, edges with eight equivalent Mg(5)CsLiMg10 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)CsLiMg10 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. Li(1) is bonded in a 8-coordinate geometry to two equivalent Cs(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms. 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 Cs(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 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)CsLiMg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)CsLiMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CsMg11 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 six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CsMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CsLiMg10 cuboctahedra, faces with two equivalent Cs(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)CsLiMg10 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 in a 12-coordinate geometry to two equivalent Cs(1), two equivalent Li(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. 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 Cs(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(5)CsLiMg10 cuboctahedra, edges with four equivalent Mg(7)CsMg11 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)CsMg11 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)CsLiMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Cs(1), one Li(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgCsLiMg10 cuboctahedra that share corners with four equivalent Mg(7)CsMg11 cuboctahedra, corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with ten equivalent Mg(5)CsLiMg10 cuboctahedra, edges with two equivalent Cs(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(5)CsLiMg10 cuboctahedra, edges with two equivalent Mg(7)CsMg11 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,  a faceface with one Cs(1)Li2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with four equivalent Mg(5)CsLiMg10 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)CsMg11 cuboctahedra, corners with six equivalent Mg(6)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)CsLiMg10 cuboctahedra, edges with two equivalent Mg(7)CsMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(5)CsLiMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Cs(1)Li2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)CsLiMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Cs(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgCsMg11 cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with six equivalent Mg(7)CsMg11 cuboctahedra, corners with eight equivalent Mg(5)CsLiMg10 cuboctahedra, edges with two equivalent Cs(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)CsLiMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Cs(1)Li2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)CsLiMg10 cuboctahedra. is represented by the CIF file [CIF]
data_CsLiMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.578
_cell_length_b   6.442
_cell_length_c   10.886
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.322
_symmetry_Int_Tables_number   1
_cell_volume   402.214
_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
  Cs  Cs0  1  0.162  0.831  0.125  1.0
  Li  Li1  1  0.168  0.334  0.125  1.0
  Mg  Mg2  1  0.163  0.332  0.625  1.0
  Mg  Mg3  1  0.165  0.832  0.625  1.0
  Mg  Mg4  1  0.665  0.334  0.125  1.0
  Mg  Mg5  1  0.667  0.332  0.625  1.0
  Mg  Mg6  1  0.665  0.831  0.125  1.0
  Mg  Mg7  1  0.667  0.835  0.625  1.0
  Mg  Mg8  1  0.341  0.178  0.394  1.0
  Mg  Mg9  1  0.341  0.178  0.856  1.0
  Mg  Mg10  1  0.341  0.663  0.394  1.0
  Mg  Mg11  1  0.341  0.663  0.856  1.0
  Mg  Mg12  1  0.835  0.168  0.372  1.0
  Mg  Mg13  1  0.835  0.168  0.878  1.0
  Mg  Mg14  1  0.822  0.661  0.393  1.0
  Mg  Mg15  1  0.822  0.661  0.857  1.0
[/CIF]
.