The crystal structure described by CsNaMg14 crystallizes in the orthorhombic Amm2 space group. Cs(1) is bonded to two equivalent Na(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CsNa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cs(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)Cs2Mg10 cuboctahedra, edges with four equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Na(1)Cs2Mg10 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with six equivalent Mg(6)NaMg11 cuboctahedra. Na(1) is bonded to two equivalent Cs(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form NaCs2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Na(1)Cs2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cs(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Cs(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, and faces with six equivalent Mg(7)CsMg11 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 Cs(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Na(1)Cs2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 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 four equivalent Na(1)Cs2Mg10 cuboctahedra, 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, faces with two equivalent Cs(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)NaMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 4-coordinate geometry to two equivalent Cs(1), two equivalent Na(1), 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)Na2Mg10 cuboctahedra, corners with four equivalent Na(1)Cs2Mg10 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)CsMg11 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Mg(7)CsMg11 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 two equivalent Mg(6)NaMg11 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Cs(1), one Na(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. In the sixth Mg site, Mg(6) is bonded to one Na(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 MgNaMg11 cuboctahedra that share corners with four equivalent Mg(7)CsMg11 cuboctahedra, corners with six equivalent Mg(6)NaMg11 cuboctahedra, edges with two equivalent Na(1)Cs2Mg10 cuboctahedra, edges with two equivalent Mg(7)CsMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Na(1)Cs2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Cs(1)Na2Mg10 cuboctahedra, and faces with three equivalent Mg(2)Mg12 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)NaMg11 cuboctahedra, corners with six equivalent Mg(7)CsMg11 cuboctahedra, edges with two equivalent Cs(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(6)NaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Cs(1)Na2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Na(1)Cs2Mg10 cuboctahedra, and faces with three equivalent Mg(1)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_CsNaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.657
_cell_length_b   6.479
_cell_length_c   10.972
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.118
_symmetry_Int_Tables_number   1
_cell_volume   413.390
_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  0.164  0.832  0.125  1.0
  Na  Na1  1  0.169  0.334  0.125  1.0
  Mg  Mg2  1  0.162  0.331  0.625  1.0
  Mg  Mg3  1  0.163  0.832  0.625  1.0
  Mg  Mg4  1  0.666  0.334  0.125  1.0
  Mg  Mg5  1  0.668  0.333  0.625  1.0
  Mg  Mg6  1  0.666  0.832  0.125  1.0
  Mg  Mg7  1  0.668  0.835  0.625  1.0
  Mg  Mg8  1  0.343  0.177  0.398  1.0
  Mg  Mg9  1  0.343  0.177  0.852  1.0
  Mg  Mg10  1  0.343  0.666  0.398  1.0
  Mg  Mg11  1  0.343  0.666  0.852  1.0
  Mg  Mg12  1  0.830  0.165  0.377  1.0
  Mg  Mg13  1  0.830  0.165  0.873  1.0
  Mg  Mg14  1  0.821  0.660  0.392  1.0
  Mg  Mg15  1  0.821  0.660  0.858  1.0
[/CIF]
.
The crystal structure described by CsNaMg14 crystallizes in the orthorhombic Amm2 space group. Cs(1) is bonded to two equivalent Na(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CsNa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cs(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)Cs2Mg10 cuboctahedra, edges with four equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Na(1)Cs2Mg10 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with six equivalent Mg(6)NaMg11 cuboctahedra. Na(1) is bonded to two equivalent Cs(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form NaCs2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Na(1)Cs2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cs(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Cs(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, and faces with six equivalent Mg(7)CsMg11 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 Cs(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Na(1)Cs2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 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 four equivalent Na(1)Cs2Mg10 cuboctahedra, 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, faces with two equivalent Cs(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)NaMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 4-coordinate geometry to two equivalent Cs(1), two equivalent Na(1), 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)Na2Mg10 cuboctahedra, corners with four equivalent Na(1)Cs2Mg10 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)CsMg11 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Mg(7)CsMg11 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 two equivalent Mg(6)NaMg11 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Cs(1), one Na(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. In the sixth Mg site, Mg(6) is bonded to one Na(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 MgNaMg11 cuboctahedra that share corners with four equivalent Mg(7)CsMg11 cuboctahedra, corners with six equivalent Mg(6)NaMg11 cuboctahedra, edges with two equivalent Na(1)Cs2Mg10 cuboctahedra, edges with two equivalent Mg(7)CsMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Na(1)Cs2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Cs(1)Na2Mg10 cuboctahedra, and faces with three equivalent Mg(2)Mg12 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)NaMg11 cuboctahedra, corners with six equivalent Mg(7)CsMg11 cuboctahedra, edges with two equivalent Cs(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(6)NaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Cs(1)Na2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)CsMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Na(1)Cs2Mg10 cuboctahedra, and faces with three equivalent Mg(1)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_CsNaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.657
_cell_length_b   6.479
_cell_length_c   10.972
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.118
_symmetry_Int_Tables_number   1
_cell_volume   413.390
_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  0.164  0.832  0.125  1.0
  Na  Na1  1  0.169  0.334  0.125  1.0
  Mg  Mg2  1  0.162  0.331  0.625  1.0
  Mg  Mg3  1  0.163  0.832  0.625  1.0
  Mg  Mg4  1  0.666  0.334  0.125  1.0
  Mg  Mg5  1  0.668  0.333  0.625  1.0
  Mg  Mg6  1  0.666  0.832  0.125  1.0
  Mg  Mg7  1  0.668  0.835  0.625  1.0
  Mg  Mg8  1  0.343  0.177  0.398  1.0
  Mg  Mg9  1  0.343  0.177  0.852  1.0
  Mg  Mg10  1  0.343  0.666  0.398  1.0
  Mg  Mg11  1  0.343  0.666  0.852  1.0
  Mg  Mg12  1  0.830  0.165  0.377  1.0
  Mg  Mg13  1  0.830  0.165  0.873  1.0
  Mg  Mg14  1  0.821  0.660  0.392  1.0
  Mg  Mg15  1  0.821  0.660  0.858  1.0
[/CIF]
.