The compound described by Mg6FeGa crystallizes in the orthorhombic Amm2 space group. There are six 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 Fe(1), and two equivalent Ga(1) atoms to form distorted MgMg8Ga2Fe2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Fe2 cuboctahedra; corners with four equivalent Fe(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Mg(2)Mg10Fe2 cuboctahedra; edges with two equivalent Mg(1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Fe(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; and faces with four Mg(1,1)Mg8Ga2Fe2 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 Fe(1), and two equivalent Ga(1) atoms to form distorted MgMg8Ga2Fe2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Fe2 cuboctahedra; corners with four equivalent Fe(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Mg(2)Mg10Fe2 cuboctahedra; edges with two equivalent Mg(1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Fe(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; and faces with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Fe(1) atoms to form distorted MgMg10Fe2 cuboctahedra that share corners with four equivalent Fe(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg10Fe2 cuboctahedra; corners with eight Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Fe(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra; and faces with six equivalent Ga(1)Mg10Fe2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Fe(1), and two equivalent Ga(1) atoms. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Fe(1), and two equivalent Ga(1) atoms. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Fe2 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Fe2 cuboctahedra; edges with four equivalent Mg(2)Mg10Fe2 cuboctahedra; edges with eight Mg(1,1)Mg8Ga2Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with four equivalent Mg(1)Mg8Ga2Fe2 cuboctahedra; and faces with six equivalent Fe(1)Mg10Ga2 cuboctahedra. Fe(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Ga(1) atoms to form FeMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Fe2 cuboctahedra; corners with six equivalent Fe(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Mg(2)Mg10Fe2 cuboctahedra; edges with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with four equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Fe2 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); and two equivalent Fe(1) atoms to form GaMg10Fe2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Mg10Fe2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Fe(1)Mg10Ga2 cuboctahedra; edges with eight Mg(1,1)Mg8Ga2Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Fe2 cuboctahedra. is represented by the CIF card [CIF]
data_Mg6GaFe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.841
_cell_length_b   6.068
_cell_length_c   6.068
_cell_angle_alpha   119.487
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   155.154
_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
  Fe  Fe0  1  0.000  0.169  0.831  1.0
  Ga  Ga1  1  0.500  0.324  0.676  1.0
  Mg  Mg2  1  1.000  0.661  0.831  1.0
  Mg  Mg3  1  1.000  0.169  0.339  1.0
  Mg  Mg4  1  0.000  0.666  0.334  1.0
  Mg  Mg5  1  0.500  0.850  0.672  1.0
  Mg  Mg6  1  0.500  0.328  0.150  1.0
  Mg  Mg7  1  0.500  0.833  0.167  1.0
[/CIF]
.
The compound described by Mg6FeGa crystallizes in the orthorhombic Amm2 space group. There are six 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 Fe(1), and two equivalent Ga(1) atoms to form distorted MgMg8Ga2Fe2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Fe2 cuboctahedra; corners with four equivalent Fe(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Mg(2)Mg10Fe2 cuboctahedra; edges with two equivalent Mg(1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Fe(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; and faces with four Mg(1,1)Mg8Ga2Fe2 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 Fe(1), and two equivalent Ga(1) atoms to form distorted MgMg8Ga2Fe2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Fe2 cuboctahedra; corners with four equivalent Fe(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Mg(2)Mg10Fe2 cuboctahedra; edges with two equivalent Mg(1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Fe(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; and faces with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Fe(1) atoms to form distorted MgMg10Fe2 cuboctahedra that share corners with four equivalent Fe(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg10Fe2 cuboctahedra; corners with eight Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Fe(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra; and faces with six equivalent Ga(1)Mg10Fe2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Fe(1), and two equivalent Ga(1) atoms. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Fe(1), and two equivalent Ga(1) atoms. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Fe2 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Fe2 cuboctahedra; edges with four equivalent Mg(2)Mg10Fe2 cuboctahedra; edges with eight Mg(1,1)Mg8Ga2Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with four equivalent Mg(1)Mg8Ga2Fe2 cuboctahedra; and faces with six equivalent Fe(1)Mg10Ga2 cuboctahedra. Fe(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Ga(1) atoms to form FeMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Fe2 cuboctahedra; corners with six equivalent Fe(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with two equivalent Mg(2)Mg10Fe2 cuboctahedra; edges with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra; edges with four equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(2)Mg10Fe2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Fe2 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); and two equivalent Fe(1) atoms to form GaMg10Fe2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Mg10Fe2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Fe(1)Mg10Ga2 cuboctahedra; edges with eight Mg(1,1)Mg8Ga2Fe2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Fe(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Fe2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Fe2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Fe2 cuboctahedra. is represented by the CIF card [CIF]
data_Mg6GaFe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.841
_cell_length_b   6.068
_cell_length_c   6.068
_cell_angle_alpha   119.487
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   155.154
_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
  Fe  Fe0  1  0.000  0.169  0.831  1.0
  Ga  Ga1  1  0.500  0.324  0.676  1.0
  Mg  Mg2  1  1.000  0.661  0.831  1.0
  Mg  Mg3  1  1.000  0.169  0.339  1.0
  Mg  Mg4  1  0.000  0.666  0.334  1.0
  Mg  Mg5  1  0.500  0.850  0.672  1.0
  Mg  Mg6  1  0.500  0.328  0.150  1.0
  Mg  Mg7  1  0.500  0.833  0.167  1.0
[/CIF]
.