The material described by NaBaMg14 crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form NaBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Na(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)BaNaMg10 cuboctahedra, faces with two equivalent Ba(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 cuboctahedra. Ba(1) is bonded to two equivalent Na(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form BaNa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with eight equivalent Mg(5)BaNaMg10 cuboctahedra, faces with two equivalent Na(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 cuboctahedra, and faces with six equivalent Mg(6)NaMg11 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 Ba(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Na2Mg8 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, edges with eight equivalent Mg(5)BaNaMg10 cuboctahedra, faces with two equivalent Na(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 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)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaNaMg10 cuboctahedra, faces with two equivalent Ba(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 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 to two equivalent Na(1), two equivalent Ba(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgBa2Na2Mg8 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)Ba2Na2Mg8 cuboctahedra, edges with two equivalent Na(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(5)BaNaMg10 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Na(1)Ba2Mg10 cuboctahedra, faces with two equivalent Ba(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)BaNaMg10 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 Na(1)Ba2Mg10 cuboctahedra, corners with four equivalent Ba(1)Na2Mg10 cuboctahedra, corners with four equivalent Mg(3)Ba2Na2Mg8 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)BaMg11 cuboctahedra, edges with four equivalent Mg(5)BaNaMg10 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 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, faces with two equivalent Mg(6)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)BaNaMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Na(1), one Ba(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 MgBaNaMg10 cuboctahedra that share corners with four equivalent Mg(7)BaMg11 cuboctahedra, corners with four equivalent Mg(6)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)BaNaMg10 cuboctahedra, edges with two equivalent Na(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with two equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Mg(5)BaNaMg10 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 Mg(6)NaMg11 cuboctahedra,  a faceface with one Na(1)Ba2Mg10 cuboctahedra,  a faceface with one Ba(1)Na2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. 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)BaMg11 cuboctahedra, corners with six equivalent Mg(6)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)BaNaMg10 cuboctahedra, edges with two equivalent Na(1)Ba2Mg10 cuboctahedra, edges with two equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaNaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Na(1)Ba2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Ba(1)Na2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)BaNaMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Ba(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 MgBaMg11 cuboctahedra that share corners with four equivalent Mg(6)NaMg11 cuboctahedra, corners with six equivalent Mg(7)BaMg11 cuboctahedra, corners with eight equivalent Mg(5)BaNaMg10 cuboctahedra, edges with two equivalent Ba(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(6)NaMg11 cuboctahedra, edges with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaNaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Ba(1)Na2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Na(1)Ba2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)BaNaMg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaNaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.696
_cell_length_b   6.545
_cell_length_c   10.760
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.259
_symmetry_Int_Tables_number   1
_cell_volume   411.393
_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
  Ba  Ba0  1  0.164  0.832  0.125  1.0
  Na  Na1  1  0.169  0.334  0.125  1.0
  Mg  Mg2  1  0.163  0.332  0.625  1.0
  Mg  Mg3  1  0.164  0.832  0.625  1.0
  Mg  Mg4  1  0.663  0.336  0.125  1.0
  Mg  Mg5  1  0.668  0.333  0.625  1.0
  Mg  Mg6  1  0.663  0.827  0.125  1.0
  Mg  Mg7  1  0.668  0.835  0.625  1.0
  Mg  Mg8  1  0.342  0.175  0.392  1.0
  Mg  Mg9  1  0.342  0.175  0.858  1.0
  Mg  Mg10  1  0.342  0.666  0.392  1.0
  Mg  Mg11  1  0.342  0.666  0.858  1.0
  Mg  Mg12  1  0.831  0.166  0.376  1.0
  Mg  Mg13  1  0.831  0.166  0.874  1.0
  Mg  Mg14  1  0.824  0.662  0.387  1.0
  Mg  Mg15  1  0.824  0.662  0.863  1.0
[/CIF]
.
The material described by NaBaMg14 crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form NaBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Na(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)BaNaMg10 cuboctahedra, faces with two equivalent Ba(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 cuboctahedra. Ba(1) is bonded to two equivalent Na(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form BaNa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with eight equivalent Mg(5)BaNaMg10 cuboctahedra, faces with two equivalent Na(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 cuboctahedra, and faces with six equivalent Mg(6)NaMg11 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 Ba(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Na2Mg8 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, edges with eight equivalent Mg(5)BaNaMg10 cuboctahedra, faces with two equivalent Na(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 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)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaNaMg10 cuboctahedra, faces with two equivalent Ba(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 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 to two equivalent Na(1), two equivalent Ba(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgBa2Na2Mg8 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)Ba2Na2Mg8 cuboctahedra, edges with two equivalent Na(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(5)BaNaMg10 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Na(1)Ba2Mg10 cuboctahedra, faces with two equivalent Ba(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)BaNaMg10 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 Na(1)Ba2Mg10 cuboctahedra, corners with four equivalent Ba(1)Na2Mg10 cuboctahedra, corners with four equivalent Mg(3)Ba2Na2Mg8 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)BaMg11 cuboctahedra, edges with four equivalent Mg(5)BaNaMg10 cuboctahedra, edges with four equivalent Mg(6)NaMg11 cuboctahedra, faces with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 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, faces with two equivalent Mg(6)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)BaNaMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Na(1), one Ba(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 MgBaNaMg10 cuboctahedra that share corners with four equivalent Mg(7)BaMg11 cuboctahedra, corners with four equivalent Mg(6)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)BaNaMg10 cuboctahedra, edges with two equivalent Na(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with two equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Mg(5)BaNaMg10 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 Mg(6)NaMg11 cuboctahedra,  a faceface with one Na(1)Ba2Mg10 cuboctahedra,  a faceface with one Ba(1)Na2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaNaMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. 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)BaMg11 cuboctahedra, corners with six equivalent Mg(6)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)BaNaMg10 cuboctahedra, edges with two equivalent Na(1)Ba2Mg10 cuboctahedra, edges with two equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaNaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Na(1)Ba2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Ba(1)Na2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)BaNaMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Ba(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 MgBaMg11 cuboctahedra that share corners with four equivalent Mg(6)NaMg11 cuboctahedra, corners with six equivalent Mg(7)BaMg11 cuboctahedra, corners with eight equivalent Mg(5)BaNaMg10 cuboctahedra, edges with two equivalent Ba(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(6)NaMg11 cuboctahedra, edges with four equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaNaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Ba(1)Na2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Na2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)NaMg11 cuboctahedra, faces with three equivalent Na(1)Ba2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)BaNaMg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaNaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.696
_cell_length_b   6.545
_cell_length_c   10.760
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.259
_symmetry_Int_Tables_number   1
_cell_volume   411.393
_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
  Ba  Ba0  1  0.164  0.832  0.125  1.0
  Na  Na1  1  0.169  0.334  0.125  1.0
  Mg  Mg2  1  0.163  0.332  0.625  1.0
  Mg  Mg3  1  0.164  0.832  0.625  1.0
  Mg  Mg4  1  0.663  0.336  0.125  1.0
  Mg  Mg5  1  0.668  0.333  0.625  1.0
  Mg  Mg6  1  0.663  0.827  0.125  1.0
  Mg  Mg7  1  0.668  0.835  0.625  1.0
  Mg  Mg8  1  0.342  0.175  0.392  1.0
  Mg  Mg9  1  0.342  0.175  0.858  1.0
  Mg  Mg10  1  0.342  0.666  0.392  1.0
  Mg  Mg11  1  0.342  0.666  0.858  1.0
  Mg  Mg12  1  0.831  0.166  0.376  1.0
  Mg  Mg13  1  0.831  0.166  0.874  1.0
  Mg  Mg14  1  0.824  0.662  0.387  1.0
  Mg  Mg15  1  0.824  0.662  0.863  1.0
[/CIF]
.