The crystal structure described by Mg6MnGa crystallizes in the orthorhombic Amm2 space group. There are four 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 Mn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Mn2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10Ga2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mn(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with four equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, and faces with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Mn(1) atoms to form MgMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mn(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with six equivalent Ga(1)Mg10Mn2 cuboctahedra. In the third 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 Mn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Mn2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra, corners with four equivalent Ga(1)Mg10Mn2 cuboctahedra, corners with ten equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with four equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with six equivalent Mn(1)Mg10Ga2 cuboctahedra. Mn(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form MnMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with four equivalent Ga(1)Mg10Mn2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. Ga(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Mn(1) atoms to form GaMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra, corners with six equivalent Ga(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with four equivalent Mn(1)Mg10Ga2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Mn2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6MnGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.886
_cell_length_b   6.200
_cell_length_c   6.200
_cell_angle_alpha   119.803
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   162.986
_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  0.325  0.675  1.0
  Mg  Mg1  1  1.000  0.660  0.831  1.0
  Mg  Mg2  1  1.000  0.169  0.340  1.0
  Mg  Mg3  1  0.000  0.666  0.334  1.0
  Mg  Mg4  1  0.500  0.845  0.670  1.0
  Mg  Mg5  1  0.500  0.330  0.155  1.0
  Mg  Mg6  1  0.500  0.832  0.168  1.0
  Mn  Mn7  1  0.000  0.172  0.828  1.0
[/CIF]
.
The crystal structure described by Mg6MnGa crystallizes in the orthorhombic Amm2 space group. There are four 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 Mn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Mn2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10Ga2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mn(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with four equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, and faces with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Mn(1) atoms to form MgMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mn(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with six equivalent Ga(1)Mg10Mn2 cuboctahedra. In the third 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 Mn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Mn2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra, corners with four equivalent Ga(1)Mg10Mn2 cuboctahedra, corners with ten equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with four equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with six equivalent Mn(1)Mg10Ga2 cuboctahedra. Mn(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form MnMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, edges with four equivalent Ga(1)Mg10Mn2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. Ga(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Mn(1) atoms to form GaMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra, corners with six equivalent Ga(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, edges with four equivalent Mn(1)Mg10Ga2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Ga2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Ga2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Mn2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6MnGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.886
_cell_length_b   6.200
_cell_length_c   6.200
_cell_angle_alpha   119.803
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   162.986
_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  0.325  0.675  1.0
  Mg  Mg1  1  1.000  0.660  0.831  1.0
  Mg  Mg2  1  1.000  0.169  0.340  1.0
  Mg  Mg3  1  0.000  0.666  0.334  1.0
  Mg  Mg4  1  0.500  0.845  0.670  1.0
  Mg  Mg5  1  0.500  0.330  0.155  1.0
  Mg  Mg6  1  0.500  0.832  0.168  1.0
  Mn  Mn7  1  0.000  0.172  0.828  1.0
[/CIF]
.