The crystal structure described by Mg3(Cu2Al)2 crystallizes in the triclinic P-1 space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(3), three equivalent Mg(2), one Cu(4), two equivalent Cu(1), two equivalent Cu(5), three equivalent Cu(2), one Al(1), one Al(3), and two equivalent Al(2) atoms. In the second Mg site, Mg(2) is bonded in a 16-coordinate geometry to one Mg(2), three equivalent Mg(1), one Cu(1), one Cu(5), two equivalent Cu(4), three equivalent Cu(2), one Al(2), two equivalent Al(1), and two equivalent Al(3) atoms. In the third Mg site, Mg(3) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(3), three equivalent Cu(1), three equivalent Cu(3), three equivalent Cu(5), and three equivalent Al(2) atoms. There are five inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one Mg(2), two equivalent Mg(1), three equivalent Mg(3), one Cu(2), one Cu(3), two equivalent Cu(5), and two equivalent Al(2) atoms to form CuMg6Al2Cu4 cuboctahedra that share  a cornercorner with one Al(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, corners with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(2)Mg6Cu6 cuboctahedra, corners with five equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, edges with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, edges with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra,  a faceface with one Cu(4)Mg6Al4Cu2 cuboctahedra,  a faceface with one Al(1)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, faces with five equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, and faces with five equivalent Al(2)Mg6Cu6 cuboctahedra. In the second Cu site, Cu(2) is bonded to three equivalent Mg(1), three equivalent Mg(2), one Cu(1), one Cu(4), one Cu(5), one Al(1), one Al(2), and one Al(3) atom to form distorted CuMg6Al3Cu3 cuboctahedra that share corners with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, corners with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(2)Mg6Cu6 cuboctahedra, corners with three equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, corners with three equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, edges with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, faces with three equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, faces with three equivalent Al(1)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Al(3)Mg6Al2Cu4 cuboctahedra, and faces with three equivalent Al(2)Mg6Cu6 cuboctahedra. In the third Cu site, Cu(3) is bonded to six equivalent Mg(3), two equivalent Cu(1), two equivalent Cu(5), and two equivalent Al(2) atoms to form distorted CuMg6Al2Cu4 cuboctahedra that share corners with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Al(2)Mg6Cu6 cuboctahedra, corners with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, edges with six equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, faces with six equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with six equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, and faces with six equivalent Al(2)Mg6Cu6 cuboctahedra. In the fourth Cu site, Cu(4) is bonded to two equivalent Mg(1), four equivalent Mg(2), two equivalent Cu(2), two equivalent Al(1), and two equivalent Al(3) atoms to form distorted CuMg6Al4Cu2 cuboctahedra that share corners with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with four equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, corners with four equivalent Al(2)Mg6Cu6 cuboctahedra, edges with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, edges with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Al(2)Mg6Cu6 cuboctahedra, faces with four equivalent Al(1)Mg6Al2Cu4 cuboctahedra, faces with four equivalent Al(3)Mg6Al2Cu4 cuboctahedra, and faces with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra. In the fifth Cu site, Cu(5) is bonded to one Mg(2), two equivalent Mg(1), three equivalent Mg(3), one Cu(2), one Cu(3), two equivalent Cu(1), and two equivalent Al(2) atoms to form distorted CuMg6Al2Cu4 cuboctahedra that share  a cornercorner with one Cu(4)Mg6Al4Cu2 cuboctahedra, corners with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(2)Mg6Cu6 cuboctahedra, corners with five equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, edges with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, edges with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra,  a faceface with one Al(1)Mg6Al2Cu4 cuboctahedra,  a faceface with one Al(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, faces with five equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, and faces with five equivalent Al(2)Mg6Cu6 cuboctahedra. There are three inequivalent Al sites. In the first Al site, Al(1) is bonded to two equivalent Mg(1), four equivalent Mg(2), two equivalent Cu(2), two equivalent Cu(4), and two equivalent Al(3) atoms to form distorted AlMg6Al2Cu4 cuboctahedra that share corners with two equivalent Al(2)Mg6Cu6 cuboctahedra, corners with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with four equivalent Al(1)Mg6Al2Cu4 cuboctahedra, edges with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, edges with four equivalent Al(2)Mg6Cu6 cuboctahedra, faces with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, faces with four equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, faces with four equivalent Al(3)Mg6Al2Cu4 cuboctahedra, and faces with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra. In the second Al site, Al(2) is bonded to one Mg(2), two equivalent Mg(1), three equivalent Mg(3), one Cu(2), one Cu(3), two equivalent Cu(1), and two equivalent Cu(5) atoms to form distorted AlMg6Cu6 cuboctahedra that share  a cornercorner with one Al(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, corners with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, corners with five equivalent Al(2)Mg6Cu6 cuboctahedra, edges with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, edges with four equivalent Al(2)Mg6Cu6 cuboctahedra,  a faceface with one Cu(4)Mg6Al4Cu2 cuboctahedra,  a faceface with one Al(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, faces with five equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, and faces with five equivalent Cu(5)Mg6Al2Cu4 cuboctahedra. In the third Al site, Al(3) is bonded to two equivalent Mg(1), four equivalent Mg(2), two equivalent Cu(2), two equivalent Cu(4), and two equivalent Al(1) atoms to form AlMg6Al2Cu4 cuboctahedra that share corners with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with four equivalent Al(3)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Al(2)Mg6Cu6 cuboctahedra, edges with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, edges with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Al(2)Mg6Cu6 cuboctahedra, faces with four equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, faces with four equivalent Al(1)Mg6Al2Cu4 cuboctahedra, and faces with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra. is represented by the CIF file [CIF]
data_Mg3(AlCu2)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.016
_cell_length_b   5.057
_cell_length_c   12.496
_cell_angle_alpha   89.363
_cell_angle_beta   88.838
_cell_angle_gamma   60.756
_symmetry_Int_Tables_number   1
_cell_volume   276.494
_cell_formula_units_Z   2
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
  Mg  Mg0  1  0.669  0.664  0.710  1.0
  Mg  Mg1  1  0.001  0.001  0.373  1.0
  Mg  Mg2  1  0.334  0.334  0.042  1.0
  Mg  Mg3  1  0.666  0.666  0.958  1.0
  Mg  Mg4  1  0.999  0.999  0.627  1.0
  Mg  Mg5  1  0.331  0.336  0.290  1.0
  Al  Al6  1  0.500  0.500  0.500  1.0
  Al  Al7  1  0.833  0.833  0.167  1.0
  Al  Al8  1  0.167  0.167  0.833  1.0
  Al  Al9  1  0.500  0.000  0.500  1.0
  Cu  Cu10  1  0.834  0.333  0.167  1.0
  Cu  Cu11  1  0.166  0.667  0.833  1.0
  Cu  Cu12  1  0.665  0.668  0.333  1.0
  Cu  Cu13  1  0.000  0.000  0.000  1.0
  Cu  Cu14  1  0.335  0.332  0.667  1.0
  Cu  Cu15  1  0.000  0.500  0.500  1.0
  Cu  Cu16  1  0.334  0.833  0.167  1.0
  Cu  Cu17  1  0.666  0.167  0.833  1.0
[/CIF]
.
The crystal structure described by Mg3(Cu2Al)2 crystallizes in the triclinic P-1 space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(3), three equivalent Mg(2), one Cu(4), two equivalent Cu(1), two equivalent Cu(5), three equivalent Cu(2), one Al(1), one Al(3), and two equivalent Al(2) atoms. In the second Mg site, Mg(2) is bonded in a 16-coordinate geometry to one Mg(2), three equivalent Mg(1), one Cu(1), one Cu(5), two equivalent Cu(4), three equivalent Cu(2), one Al(2), two equivalent Al(1), and two equivalent Al(3) atoms. In the third Mg site, Mg(3) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(3), three equivalent Cu(1), three equivalent Cu(3), three equivalent Cu(5), and three equivalent Al(2) atoms. There are five inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one Mg(2), two equivalent Mg(1), three equivalent Mg(3), one Cu(2), one Cu(3), two equivalent Cu(5), and two equivalent Al(2) atoms to form CuMg6Al2Cu4 cuboctahedra that share  a cornercorner with one Al(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, corners with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(2)Mg6Cu6 cuboctahedra, corners with five equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, edges with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, edges with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra,  a faceface with one Cu(4)Mg6Al4Cu2 cuboctahedra,  a faceface with one Al(1)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, faces with five equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, and faces with five equivalent Al(2)Mg6Cu6 cuboctahedra. In the second Cu site, Cu(2) is bonded to three equivalent Mg(1), three equivalent Mg(2), one Cu(1), one Cu(4), one Cu(5), one Al(1), one Al(2), and one Al(3) atom to form distorted CuMg6Al3Cu3 cuboctahedra that share corners with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, corners with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(2)Mg6Cu6 cuboctahedra, corners with three equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, corners with three equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, edges with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, faces with three equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, faces with three equivalent Al(1)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Al(3)Mg6Al2Cu4 cuboctahedra, and faces with three equivalent Al(2)Mg6Cu6 cuboctahedra. In the third Cu site, Cu(3) is bonded to six equivalent Mg(3), two equivalent Cu(1), two equivalent Cu(5), and two equivalent Al(2) atoms to form distorted CuMg6Al2Cu4 cuboctahedra that share corners with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Al(2)Mg6Cu6 cuboctahedra, corners with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, edges with six equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, faces with six equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with six equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, and faces with six equivalent Al(2)Mg6Cu6 cuboctahedra. In the fourth Cu site, Cu(4) is bonded to two equivalent Mg(1), four equivalent Mg(2), two equivalent Cu(2), two equivalent Al(1), and two equivalent Al(3) atoms to form distorted CuMg6Al4Cu2 cuboctahedra that share corners with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with four equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, corners with four equivalent Al(2)Mg6Cu6 cuboctahedra, edges with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, edges with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Al(2)Mg6Cu6 cuboctahedra, faces with four equivalent Al(1)Mg6Al2Cu4 cuboctahedra, faces with four equivalent Al(3)Mg6Al2Cu4 cuboctahedra, and faces with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra. In the fifth Cu site, Cu(5) is bonded to one Mg(2), two equivalent Mg(1), three equivalent Mg(3), one Cu(2), one Cu(3), two equivalent Cu(1), and two equivalent Al(2) atoms to form distorted CuMg6Al2Cu4 cuboctahedra that share  a cornercorner with one Cu(4)Mg6Al4Cu2 cuboctahedra, corners with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Al(2)Mg6Cu6 cuboctahedra, corners with five equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, edges with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, edges with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra,  a faceface with one Al(1)Mg6Al2Cu4 cuboctahedra,  a faceface with one Al(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, faces with five equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, and faces with five equivalent Al(2)Mg6Cu6 cuboctahedra. There are three inequivalent Al sites. In the first Al site, Al(1) is bonded to two equivalent Mg(1), four equivalent Mg(2), two equivalent Cu(2), two equivalent Cu(4), and two equivalent Al(3) atoms to form distorted AlMg6Al2Cu4 cuboctahedra that share corners with two equivalent Al(2)Mg6Cu6 cuboctahedra, corners with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with four equivalent Al(1)Mg6Al2Cu4 cuboctahedra, edges with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, edges with four equivalent Al(2)Mg6Cu6 cuboctahedra, faces with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, faces with four equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, faces with four equivalent Al(3)Mg6Al2Cu4 cuboctahedra, and faces with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra. In the second Al site, Al(2) is bonded to one Mg(2), two equivalent Mg(1), three equivalent Mg(3), one Cu(2), one Cu(3), two equivalent Cu(1), and two equivalent Cu(5) atoms to form distorted AlMg6Cu6 cuboctahedra that share  a cornercorner with one Al(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with two equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with two equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, corners with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, corners with five equivalent Al(2)Mg6Cu6 cuboctahedra, edges with two equivalent Al(1)Mg6Al2Cu4 cuboctahedra, edges with four equivalent Al(2)Mg6Cu6 cuboctahedra,  a faceface with one Cu(4)Mg6Al4Cu2 cuboctahedra,  a faceface with one Al(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(3)Mg6Al2Cu4 cuboctahedra, faces with three equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, faces with five equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, and faces with five equivalent Cu(5)Mg6Al2Cu4 cuboctahedra. In the third Al site, Al(3) is bonded to two equivalent Mg(1), four equivalent Mg(2), two equivalent Cu(2), two equivalent Cu(4), and two equivalent Al(1) atoms to form AlMg6Al2Cu4 cuboctahedra that share corners with two equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Cu(2)Mg6Al3Cu3 cuboctahedra, corners with four equivalent Al(3)Mg6Al2Cu4 cuboctahedra, corners with four equivalent Al(2)Mg6Cu6 cuboctahedra, edges with two equivalent Al(3)Mg6Al2Cu4 cuboctahedra, edges with four equivalent Cu(1)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Cu(5)Mg6Al2Cu4 cuboctahedra, faces with two equivalent Al(2)Mg6Cu6 cuboctahedra, faces with four equivalent Cu(4)Mg6Al4Cu2 cuboctahedra, faces with four equivalent Al(1)Mg6Al2Cu4 cuboctahedra, and faces with six equivalent Cu(2)Mg6Al3Cu3 cuboctahedra. is represented by the CIF file [CIF]
data_Mg3(AlCu2)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.016
_cell_length_b   5.057
_cell_length_c   12.496
_cell_angle_alpha   89.363
_cell_angle_beta   88.838
_cell_angle_gamma   60.756
_symmetry_Int_Tables_number   1
_cell_volume   276.494
_cell_formula_units_Z   2
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
  Mg  Mg0  1  0.669  0.664  0.710  1.0
  Mg  Mg1  1  0.001  0.001  0.373  1.0
  Mg  Mg2  1  0.334  0.334  0.042  1.0
  Mg  Mg3  1  0.666  0.666  0.958  1.0
  Mg  Mg4  1  0.999  0.999  0.627  1.0
  Mg  Mg5  1  0.331  0.336  0.290  1.0
  Al  Al6  1  0.500  0.500  0.500  1.0
  Al  Al7  1  0.833  0.833  0.167  1.0
  Al  Al8  1  0.167  0.167  0.833  1.0
  Al  Al9  1  0.500  0.000  0.500  1.0
  Cu  Cu10  1  0.834  0.333  0.167  1.0
  Cu  Cu11  1  0.166  0.667  0.833  1.0
  Cu  Cu12  1  0.665  0.668  0.333  1.0
  Cu  Cu13  1  0.000  0.000  0.000  1.0
  Cu  Cu14  1  0.335  0.332  0.667  1.0
  Cu  Cu15  1  0.000  0.500  0.500  1.0
  Cu  Cu16  1  0.334  0.833  0.167  1.0
  Cu  Cu17  1  0.666  0.167  0.833  1.0
[/CIF]
.