The material structure described by Mg6CrGa is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. There are seven 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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Cr2Ga2 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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Cr2Ga2 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 Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with six equivalent Ga(1)Mg10Cr2 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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cr2 cuboctahedra; corners with ten Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(1,1)Mg8Cr2Ga2 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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cr2 cuboctahedra; corners with ten Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Cr2 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with six equivalent Cr(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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra. Cr(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 CrMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with six equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Cr2 cuboctahedra; edges with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 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 Cr(1) atoms to form GaMg10Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Mg10Cr2 cuboctahedra; corners with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Cr2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6CrGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.934
_cell_length_b   6.192
_cell_length_c   6.192
_cell_angle_alpha   119.721
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   164.322
_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
  Cr  Cr0  1  0.000  0.170  0.830  1.0
  Ga  Ga1  1  0.500  0.328  0.672  1.0
  Mg  Mg2  1  0.000  0.661  0.830  1.0
  Mg  Mg3  1  0.000  0.170  0.339  1.0
  Mg  Mg4  1  0.000  0.666  0.334  1.0
  Mg  Mg5  1  0.500  0.842  0.669  1.0
  Mg  Mg6  1  0.500  0.331  0.158  1.0
  Mg  Mg7  1  0.500  0.832  0.168  1.0
[/CIF]
.
The material structure described by Mg6CrGa is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. There are seven 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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Cr2Ga2 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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Cr2Ga2 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 Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with six equivalent Ga(1)Mg10Cr2 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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cr2 cuboctahedra; corners with ten Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(1,1)Mg8Cr2Ga2 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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cr2 cuboctahedra; corners with ten Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Cr2 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with six equivalent Cr(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 Cr(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cr2Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; and faces with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra. Cr(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 CrMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with six equivalent Cr(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Ga(1)Mg10Cr2 cuboctahedra; edges with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 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 Cr(1) atoms to form GaMg10Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Mg10Cr2 cuboctahedra; corners with eight Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; edges with four equivalent Cr(1)Mg10Ga2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Cr2Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Cr(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Mg8Cr2Ga2 cuboctahedra; faces with four Mg(3,3)Mg8Cr2Ga2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Cr2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6CrGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.934
_cell_length_b   6.192
_cell_length_c   6.192
_cell_angle_alpha   119.721
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   164.322
_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
  Cr  Cr0  1  0.000  0.170  0.830  1.0
  Ga  Ga1  1  0.500  0.328  0.672  1.0
  Mg  Mg2  1  0.000  0.661  0.830  1.0
  Mg  Mg3  1  0.000  0.170  0.339  1.0
  Mg  Mg4  1  0.000  0.666  0.334  1.0
  Mg  Mg5  1  0.500  0.842  0.669  1.0
  Mg  Mg6  1  0.500  0.331  0.158  1.0
  Mg  Mg7  1  0.500  0.832  0.168  1.0
[/CIF]
.