The material structure described by Mg6ZnGa crystallizes in the orthorhombic Amm2 space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Zn2Ga2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1,1); four Mg(3,3); and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Ga(1)Mg10Zn2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(1,1)Mg8Zn2Ga2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(1,1)Mg8Zn2Ga2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Ga2 cuboctahedra; faces with four Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Zn(1)Mg10Ga2 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Zn2Ga2 cuboctahedra. In the eighth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra. Zn(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Ga(1) atoms to form distorted ZnMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with six equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. Ga(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3,3); and two equivalent Zn(1) atoms to form distorted GaMg10Zn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Ga2 cuboctahedra; faces with four Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6ZnGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.003
_cell_length_b   6.190
_cell_length_c   6.195
_cell_angle_alpha   119.974
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   166.181
_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  0.663  0.327  1.0
  Mg  Mg1  1  1.000  0.343  0.176  1.0
  Mg  Mg2  1  1.000  0.833  0.176  1.0
  Mg  Mg3  1  0.000  0.334  0.669  1.0
  Mg  Mg4  1  0.500  0.155  0.822  1.0
  Mg  Mg5  1  0.500  0.667  0.822  1.0
  Mg  Mg6  1  0.500  0.165  0.330  1.0
  Zn  Zn7  1  0.000  0.840  0.680  1.0
[/CIF]
.
The material structure described by Mg6ZnGa crystallizes in the orthorhombic Amm2 space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Zn2Ga2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1,1); four Mg(3,3); and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Ga(1)Mg10Zn2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(1,1)Mg8Zn2Ga2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(1,1)Mg8Zn2Ga2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Ga2 cuboctahedra; faces with four Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Zn(1)Mg10Ga2 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Zn2Ga2 cuboctahedra. In the eighth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra. Zn(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Ga(1) atoms to form distorted ZnMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with six equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. Ga(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3,3); and two equivalent Zn(1) atoms to form distorted GaMg10Zn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with eight Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; edges with four equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Ga2 cuboctahedra; faces with four Mg(3,3,3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6ZnGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.003
_cell_length_b   6.190
_cell_length_c   6.195
_cell_angle_alpha   119.974
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   166.181
_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  0.663  0.327  1.0
  Mg  Mg1  1  1.000  0.343  0.176  1.0
  Mg  Mg2  1  1.000  0.833  0.176  1.0
  Mg  Mg3  1  0.000  0.334  0.669  1.0
  Mg  Mg4  1  0.500  0.155  0.822  1.0
  Mg  Mg5  1  0.500  0.667  0.822  1.0
  Mg  Mg6  1  0.500  0.165  0.330  1.0
  Zn  Zn7  1  0.000  0.840  0.680  1.0
[/CIF]
.