The material structure described by NaMg14Mn crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form NaMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Na(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mn(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)NaMg10Mn cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn 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 Na(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaMg10Mn cuboctahedra, and faces with six equivalent Mg(7)NaMg11 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 Mn(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Mn cuboctahedra, faces with two equivalent Na(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaMg10Mn cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Mn(1) atoms to form distorted MgNa2Mg8Mn2 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)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Na(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Mn(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(5)NaMg10Mn cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Na(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mn(1)Na2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)NaMg10Mn 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)Mg10Mn2 cuboctahedra, corners with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, corners with four equivalent Mn(1)Na2Mg10 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(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(5)NaMg10Mn cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn 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(3)Na2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)NaMg10Mn cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Na(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Mn(1) atom to form distorted MgNaMg10Mn cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)NaMg10Mn cuboctahedra, edges with two equivalent Na(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(6)Mg11Mn 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(3)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(5)NaMg10Mn cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with two equivalent Mn(1)Na2Mg10 cuboctahedra,  a faceface with one Na(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Mn(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Mn cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Mn cuboctahedra, corners with eight equivalent Mg(5)NaMg10Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with two equivalent Mn(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(5)NaMg10Mn cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Na(1)Mg10Mn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Mn cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Na(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 MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with six equivalent Mg(7)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)NaMg10Mn cuboctahedra, edges with two equivalent Na(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(5)NaMg10Mn cuboctahedra,  a faceface with one Na(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Mn(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Mn cuboctahedra. Mn(1) is bonded to two equivalent Na(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form MnNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Mn cuboctahedra, faces with two equivalent Na(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)NaMg10Mn cuboctahedra, and faces with six equivalent Mg(7)NaMg11 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg14Mn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.401
_cell_length_b   6.424
_cell_length_c   10.239
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.123
_symmetry_Int_Tables_number   1
_cell_volume   364.168
_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
  Na  Na0  1  0.167  0.833  0.125  1.0
  Mg  Mg1  1  0.167  0.333  0.625  1.0
  Mg  Mg2  1  0.167  0.834  0.625  1.0
  Mg  Mg3  1  0.665  0.333  0.125  1.0
  Mg  Mg4  1  0.666  0.333  0.625  1.0
  Mg  Mg5  1  0.665  0.832  0.125  1.0
  Mg  Mg6  1  0.666  0.833  0.625  1.0
  Mg  Mg7  1  0.332  0.172  0.374  1.0
  Mg  Mg8  1  0.332  0.172  0.876  1.0
  Mg  Mg9  1  0.332  0.660  0.374  1.0
  Mg  Mg10  1  0.332  0.660  0.876  1.0
  Mg  Mg11  1  0.839  0.169  0.370  1.0
  Mg  Mg12  1  0.839  0.169  0.880  1.0
  Mg  Mg13  1  0.831  0.665  0.379  1.0
  Mg  Mg14  1  0.831  0.665  0.871  1.0
  Mn  Mn15  1  0.171  0.335  0.125  1.0
[/CIF]
.
The material structure described by NaMg14Mn crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form NaMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Na(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mn(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)NaMg10Mn cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn 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 Na(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaMg10Mn cuboctahedra, and faces with six equivalent Mg(7)NaMg11 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 Mn(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Mn cuboctahedra, faces with two equivalent Na(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaMg10Mn cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Mn(1) atoms to form distorted MgNa2Mg8Mn2 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)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Na(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Mn(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(5)NaMg10Mn cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Na(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mn(1)Na2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)NaMg10Mn 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)Mg10Mn2 cuboctahedra, corners with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, corners with four equivalent Mn(1)Na2Mg10 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(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(5)NaMg10Mn cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn 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(3)Na2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)NaMg10Mn cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Na(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Mn(1) atom to form distorted MgNaMg10Mn cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)NaMg10Mn cuboctahedra, edges with two equivalent Na(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(6)Mg11Mn 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(3)Na2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(5)NaMg10Mn cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with two equivalent Mn(1)Na2Mg10 cuboctahedra,  a faceface with one Na(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Mn(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Mn cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Mn cuboctahedra, corners with eight equivalent Mg(5)NaMg10Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with two equivalent Mn(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(5)NaMg10Mn cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Na(1)Mg10Mn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Mn cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Na(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 MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with six equivalent Mg(7)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)NaMg10Mn cuboctahedra, edges with two equivalent Na(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(5)NaMg10Mn cuboctahedra,  a faceface with one Na(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Mn(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(5)NaMg10Mn cuboctahedra. Mn(1) is bonded to two equivalent Na(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form MnNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, edges with eight equivalent Mg(5)NaMg10Mn cuboctahedra, faces with two equivalent Na(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)NaMg10Mn cuboctahedra, and faces with six equivalent Mg(7)NaMg11 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg14Mn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.401
_cell_length_b   6.424
_cell_length_c   10.239
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.123
_symmetry_Int_Tables_number   1
_cell_volume   364.168
_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
  Na  Na0  1  0.167  0.833  0.125  1.0
  Mg  Mg1  1  0.167  0.333  0.625  1.0
  Mg  Mg2  1  0.167  0.834  0.625  1.0
  Mg  Mg3  1  0.665  0.333  0.125  1.0
  Mg  Mg4  1  0.666  0.333  0.625  1.0
  Mg  Mg5  1  0.665  0.832  0.125  1.0
  Mg  Mg6  1  0.666  0.833  0.625  1.0
  Mg  Mg7  1  0.332  0.172  0.374  1.0
  Mg  Mg8  1  0.332  0.172  0.876  1.0
  Mg  Mg9  1  0.332  0.660  0.374  1.0
  Mg  Mg10  1  0.332  0.660  0.876  1.0
  Mg  Mg11  1  0.839  0.169  0.370  1.0
  Mg  Mg12  1  0.839  0.169  0.880  1.0
  Mg  Mg13  1  0.831  0.665  0.379  1.0
  Mg  Mg14  1  0.831  0.665  0.871  1.0
  Mn  Mn15  1  0.171  0.335  0.125  1.0
[/CIF]
.