The material structure described by LaV2Al20 crystallizes in the cubic Fd-3m space group. La(1) is bonded in a 16-coordinate geometry to four equivalent Al(3) and twelve equivalent Al(2) atoms. V(1) is bonded to six equivalent Al(1) and six equivalent Al(2) atoms to form VAl12 cuboctahedra that share corners with six equivalent V(1)Al12 cuboctahedra, edges with eighteen equivalent Al(2)LaAl10V cuboctahedra, and faces with six equivalent Al(2)LaAl10V cuboctahedra. There are three inequivalent Al sites. In the first Al site, Al(1) is bonded in a 12-coordinate geometry to two equivalent V(1), four equivalent Al(1), and six equivalent Al(2) atoms. In the second Al site, Al(3) is bonded in a linear geometry to two equivalent La(1) and twelve equivalent Al(2) atoms. In the third Al site, Al(2) is bonded to one La(1), one V(1), two equivalent Al(3), three equivalent Al(1), and five equivalent Al(2) atoms to form distorted AlLaAl10V cuboctahedra that share corners with fifteen equivalent Al(2)LaAl10V cuboctahedra, edges with two equivalent Al(2)LaAl10V cuboctahedra, edges with three equivalent V(1)Al12 cuboctahedra,  a faceface with one V(1)Al12 cuboctahedra, and faces with fifteen equivalent Al(2)LaAl10V cuboctahedra. is represented by the CIF card [CIF]
data_La(Al10V)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.324
_cell_length_b   10.324
_cell_length_c   10.324
_cell_angle_alpha   60.000
_cell_angle_beta   60.000
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   778.175
_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
  La  La0  1  0.500  0.500  0.500  1.0
  La  La1  1  0.750  0.750  0.750  1.0
  Al  Al2  1  0.863  0.863  0.137  1.0
  Al  Al3  1  0.137  0.137  0.863  1.0
  Al  Al4  1  0.863  0.137  0.863  1.0
  Al  Al5  1  0.137  0.863  0.137  1.0
  Al  Al6  1  0.137  0.863  0.863  1.0
  Al  Al7  1  0.863  0.137  0.137  1.0
  Al  Al8  1  0.387  0.387  0.113  1.0
  Al  Al9  1  0.113  0.113  0.387  1.0
  Al  Al10  1  0.387  0.113  0.387  1.0
  Al  Al11  1  0.113  0.387  0.113  1.0
  Al  Al12  1  0.113  0.387  0.387  1.0
  Al  Al13  1  0.387  0.113  0.113  1.0
  Al  Al14  1  0.569  0.298  0.298  1.0
  Al  Al15  1  0.298  0.569  0.834  1.0
  Al  Al16  1  0.298  0.834  0.569  1.0
  Al  Al17  1  0.834  0.298  0.298  1.0
  Al  Al18  1  0.298  0.298  0.569  1.0
  Al  Al19  1  0.569  0.834  0.298  1.0
  Al  Al20  1  0.834  0.569  0.298  1.0
  Al  Al21  1  0.298  0.298  0.834  1.0
  Al  Al22  1  0.298  0.569  0.298  1.0
  Al  Al23  1  0.834  0.298  0.569  1.0
  Al  Al24  1  0.569  0.298  0.834  1.0
  Al  Al25  1  0.298  0.834  0.298  1.0
  Al  Al26  1  0.681  0.952  0.952  1.0
  Al  Al27  1  0.952  0.681  0.416  1.0
  Al  Al28  1  0.952  0.416  0.681  1.0
  Al  Al29  1  0.416  0.952  0.952  1.0
  Al  Al30  1  0.952  0.952  0.681  1.0
  Al  Al31  1  0.681  0.416  0.952  1.0
  Al  Al32  1  0.416  0.681  0.952  1.0
  Al  Al33  1  0.952  0.952  0.416  1.0
  Al  Al34  1  0.952  0.681  0.952  1.0
  Al  Al35  1  0.416  0.952  0.681  1.0
  Al  Al36  1  0.681  0.952  0.416  1.0
  Al  Al37  1  0.952  0.416  0.952  1.0
  Al  Al38  1  0.125  0.625  0.625  1.0
  Al  Al39  1  0.625  0.125  0.625  1.0
  Al  Al40  1  0.625  0.625  0.125  1.0
  Al  Al41  1  0.625  0.625  0.625  1.0
  V  V42  1  0.625  0.125  0.125  1.0
  V  V43  1  0.125  0.625  0.125  1.0
  V  V44  1  0.125  0.125  0.625  1.0
  V  V45  1  0.125  0.125  0.125  1.0
[/CIF]
.
The material structure described by LaV2Al20 crystallizes in the cubic Fd-3m space group. La(1) is bonded in a 16-coordinate geometry to four equivalent Al(3) and twelve equivalent Al(2) atoms. V(1) is bonded to six equivalent Al(1) and six equivalent Al(2) atoms to form VAl12 cuboctahedra that share corners with six equivalent V(1)Al12 cuboctahedra, edges with eighteen equivalent Al(2)LaAl10V cuboctahedra, and faces with six equivalent Al(2)LaAl10V cuboctahedra. There are three inequivalent Al sites. In the first Al site, Al(1) is bonded in a 12-coordinate geometry to two equivalent V(1), four equivalent Al(1), and six equivalent Al(2) atoms. In the second Al site, Al(3) is bonded in a linear geometry to two equivalent La(1) and twelve equivalent Al(2) atoms. In the third Al site, Al(2) is bonded to one La(1), one V(1), two equivalent Al(3), three equivalent Al(1), and five equivalent Al(2) atoms to form distorted AlLaAl10V cuboctahedra that share corners with fifteen equivalent Al(2)LaAl10V cuboctahedra, edges with two equivalent Al(2)LaAl10V cuboctahedra, edges with three equivalent V(1)Al12 cuboctahedra,  a faceface with one V(1)Al12 cuboctahedra, and faces with fifteen equivalent Al(2)LaAl10V cuboctahedra. is represented by the CIF card [CIF]
data_La(Al10V)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.324
_cell_length_b   10.324
_cell_length_c   10.324
_cell_angle_alpha   60.000
_cell_angle_beta   60.000
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   778.175
_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
  La  La0  1  0.500  0.500  0.500  1.0
  La  La1  1  0.750  0.750  0.750  1.0
  Al  Al2  1  0.863  0.863  0.137  1.0
  Al  Al3  1  0.137  0.137  0.863  1.0
  Al  Al4  1  0.863  0.137  0.863  1.0
  Al  Al5  1  0.137  0.863  0.137  1.0
  Al  Al6  1  0.137  0.863  0.863  1.0
  Al  Al7  1  0.863  0.137  0.137  1.0
  Al  Al8  1  0.387  0.387  0.113  1.0
  Al  Al9  1  0.113  0.113  0.387  1.0
  Al  Al10  1  0.387  0.113  0.387  1.0
  Al  Al11  1  0.113  0.387  0.113  1.0
  Al  Al12  1  0.113  0.387  0.387  1.0
  Al  Al13  1  0.387  0.113  0.113  1.0
  Al  Al14  1  0.569  0.298  0.298  1.0
  Al  Al15  1  0.298  0.569  0.834  1.0
  Al  Al16  1  0.298  0.834  0.569  1.0
  Al  Al17  1  0.834  0.298  0.298  1.0
  Al  Al18  1  0.298  0.298  0.569  1.0
  Al  Al19  1  0.569  0.834  0.298  1.0
  Al  Al20  1  0.834  0.569  0.298  1.0
  Al  Al21  1  0.298  0.298  0.834  1.0
  Al  Al22  1  0.298  0.569  0.298  1.0
  Al  Al23  1  0.834  0.298  0.569  1.0
  Al  Al24  1  0.569  0.298  0.834  1.0
  Al  Al25  1  0.298  0.834  0.298  1.0
  Al  Al26  1  0.681  0.952  0.952  1.0
  Al  Al27  1  0.952  0.681  0.416  1.0
  Al  Al28  1  0.952  0.416  0.681  1.0
  Al  Al29  1  0.416  0.952  0.952  1.0
  Al  Al30  1  0.952  0.952  0.681  1.0
  Al  Al31  1  0.681  0.416  0.952  1.0
  Al  Al32  1  0.416  0.681  0.952  1.0
  Al  Al33  1  0.952  0.952  0.416  1.0
  Al  Al34  1  0.952  0.681  0.952  1.0
  Al  Al35  1  0.416  0.952  0.681  1.0
  Al  Al36  1  0.681  0.952  0.416  1.0
  Al  Al37  1  0.952  0.416  0.952  1.0
  Al  Al38  1  0.125  0.625  0.625  1.0
  Al  Al39  1  0.625  0.125  0.625  1.0
  Al  Al40  1  0.625  0.625  0.125  1.0
  Al  Al41  1  0.625  0.625  0.625  1.0
  V  V42  1  0.625  0.125  0.125  1.0
  V  V43  1  0.125  0.625  0.125  1.0
  V  V44  1  0.125  0.125  0.625  1.0
  V  V45  1  0.125  0.125  0.125  1.0
[/CIF]
.