The material described by NaMg6Ga crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(3); four Mg(1,1,1); four Mg(2,2); and two equivalent Ga(1) atoms to form NaMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Na2Mg10 cuboctahedra; corners with six equivalent Na(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Na(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Na2Mg10 cuboctahedra; corners with ten Mg(1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Na(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Na(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Na2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Na(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(2,2)Na2Mg8Ga2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg10 cuboctahedra; corners with ten Mg(2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg10 cuboctahedra; edges with two equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1)Na2Mg8Ga2 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg10 cuboctahedra; corners with ten Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg10 cuboctahedra; edges with two equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(1,1); and four Mg(2,2,2) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(3)Na2Mg10 cuboctahedra; corners with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; faces with four Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; and faces with six equivalent Ga(1)Na2Mg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2,2); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Mg(3)Na2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Na2Mg10 cuboctahedra; edges with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; faces with four Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; and faces with six equivalent Na(1)Mg10Ga2 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Na(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Na2Mg10 cuboctahedra; corners with ten Mg(1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Na(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(2,2)Na2Mg8Ga2 cuboctahedra. In the eighth Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg10 cuboctahedra; corners with ten Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg10 cuboctahedra; edges with two equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1)Na2Mg8Ga2 cuboctahedra. Ga(1) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(1,1,1); and four Mg(2,2) atoms to form GaNa2Mg10 cuboctahedra that share corners with four equivalent Na(1)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Na2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with six equivalent Mg(3)Na2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg6Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.111
_cell_length_b   6.376
_cell_length_c   6.437
_cell_angle_alpha   119.685
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   182.223
_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
  Ga  Ga0  1  0.500  0.665  0.330  1.0
  Mg  Mg1  1  0.500  0.665  0.833  1.0
  Mg  Mg2  1  0.500  0.168  0.833  1.0
  Mg  Mg3  1  0.000  0.829  0.168  1.0
  Mg  Mg4  1  0.000  0.339  0.168  1.0
  Mg  Mg5  1  0.000  0.335  0.670  1.0
  Mg  Mg6  1  0.000  0.832  0.664  1.0
  Na  Na7  1  0.500  0.167  0.334  1.0
[/CIF]
.
The material described by NaMg6Ga crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(3); four Mg(1,1,1); four Mg(2,2); and two equivalent Ga(1) atoms to form NaMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Na2Mg10 cuboctahedra; corners with six equivalent Na(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Na(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Na2Mg10 cuboctahedra; corners with ten Mg(1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Na(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Na(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Na2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Na(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(2,2)Na2Mg8Ga2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg10 cuboctahedra; corners with ten Mg(2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg10 cuboctahedra; edges with two equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1)Na2Mg8Ga2 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg10 cuboctahedra; corners with ten Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg10 cuboctahedra; edges with two equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(1,1); and four Mg(2,2,2) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(3)Na2Mg10 cuboctahedra; corners with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; faces with four Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; and faces with six equivalent Ga(1)Na2Mg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2,2); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Mg(3)Na2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Na2Mg10 cuboctahedra; edges with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; faces with four Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; and faces with six equivalent Na(1)Mg10Ga2 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Na(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Na2Mg10 cuboctahedra; corners with ten Mg(1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Na(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Na2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(2,2)Na2Mg8Ga2 cuboctahedra. In the eighth Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ga(1) atoms to form distorted MgNa2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg10 cuboctahedra; corners with ten Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg10 cuboctahedra; edges with two equivalent Mg(2)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Na2Mg10 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Na2Mg10 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1)Na2Mg8Ga2 cuboctahedra. Ga(1) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(1,1,1); and four Mg(2,2) atoms to form GaNa2Mg10 cuboctahedra that share corners with four equivalent Na(1)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Na2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with two equivalent Na(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; edges with eight Mg(2,2,2)Na2Mg8Ga2 cuboctahedra; faces with two equivalent Na(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Na2Mg10 cuboctahedra; faces with four Mg(1,1,1)Na2Mg8Ga2 cuboctahedra; faces with four Mg(2,2)Na2Mg8Ga2 cuboctahedra; and faces with six equivalent Mg(3)Na2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg6Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.111
_cell_length_b   6.376
_cell_length_c   6.437
_cell_angle_alpha   119.685
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   182.223
_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
  Ga  Ga0  1  0.500  0.665  0.330  1.0
  Mg  Mg1  1  0.500  0.665  0.833  1.0
  Mg  Mg2  1  0.500  0.168  0.833  1.0
  Mg  Mg3  1  0.000  0.829  0.168  1.0
  Mg  Mg4  1  0.000  0.339  0.168  1.0
  Mg  Mg5  1  0.000  0.335  0.670  1.0
  Mg  Mg6  1  0.000  0.832  0.664  1.0
  Na  Na7  1  0.500  0.167  0.334  1.0
[/CIF]
.