The material described by Al23V4 crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent V sites. In the first V site, V(1) is bonded to six equivalent Al(3) and six equivalent Al(4) atoms to form VAl12 cuboctahedra that share corners with six equivalent V(2)Al10V2 cuboctahedra, edges with six equivalent Al(1)Al9V3 cuboctahedra, and edges with twelve equivalent Al(5)Al10V2 cuboctahedra. In the second V site, V(2) is bonded to two equivalent V(2), two equivalent Al(1), two equivalent Al(2), two equivalent Al(4), and four equivalent Al(5) atoms to form distorted VAl10V2 cuboctahedra that share corners with two equivalent V(2)Al10V2 cuboctahedra, corners with two equivalent V(1)Al12 cuboctahedra, corners with four equivalent Al(5)Al10V2 cuboctahedra, edges with four equivalent Al(5)Al10V2 cuboctahedra, faces with two equivalent V(2)Al10V2 cuboctahedra, faces with two equivalent Al(1)Al9V3 cuboctahedra, and faces with six equivalent Al(5)Al10V2 cuboctahedra. There are five inequivalent Al sites. In the first Al site, Al(1) is bonded to three equivalent V(2), three equivalent Al(3), three equivalent Al(4), and three equivalent Al(5) atoms to form distorted AlAl9V3 cuboctahedra that share corners with six equivalent Al(5)Al10V2 cuboctahedra, edges with three equivalent V(1)Al12 cuboctahedra, edges with three equivalent Al(5)Al10V2 cuboctahedra,  a faceface with one Al(1)Al9V3 cuboctahedra, faces with three equivalent V(2)Al10V2 cuboctahedra, and faces with six equivalent Al(5)Al10V2 cuboctahedra. In the second Al site, Al(5) is bonded to two equivalent V(2), one Al(1), two equivalent Al(2), two equivalent Al(3), two equivalent Al(4), and three equivalent Al(5) atoms to form distorted AlAl10V2 cuboctahedra that share corners with two equivalent V(2)Al10V2 cuboctahedra, corners with two equivalent Al(5)Al10V2 cuboctahedra, corners with two equivalent Al(1)Al9V3 cuboctahedra,  an edgeedge with one Al(1)Al9V3 cuboctahedra, edges with two equivalent V(2)Al10V2 cuboctahedra, edges with two equivalent V(1)Al12 cuboctahedra, faces with two equivalent Al(1)Al9V3 cuboctahedra, faces with three equivalent V(2)Al10V2 cuboctahedra, and faces with seven equivalent Al(5)Al10V2 cuboctahedra. In the third Al site, Al(2) is bonded in a 12-coordinate geometry to two equivalent V(2), two equivalent Al(2), four equivalent Al(4), and four equivalent Al(5) atoms. In the fourth Al site, Al(3) is bonded in a 11-coordinate geometry to one V(1), one Al(1), two equivalent Al(5), three equivalent Al(4), and four equivalent Al(3) atoms. In the fifth Al site, Al(4) is bonded in a 12-coordinate geometry to one V(1), one V(2), one Al(1), two equivalent Al(2), two equivalent Al(4), two equivalent Al(5), and three equivalent Al(3) atoms. is represented by the CIF card [CIF]
data_Al23V4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.617
_cell_length_b   7.617
_cell_length_c   16.908
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   849.654
_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
  Al  Al0  1  0.333  0.667  0.615  1.0
  Al  Al1  1  0.667  0.333  0.115  1.0
  Al  Al2  1  0.667  0.333  0.385  1.0
  Al  Al3  1  0.333  0.667  0.885  1.0
  Al  Al4  1  0.126  0.252  0.250  1.0
  Al  Al5  1  0.874  0.126  0.750  1.0
  Al  Al6  1  0.252  0.126  0.750  1.0
  Al  Al7  1  0.748  0.874  0.250  1.0
  Al  Al8  1  0.126  0.874  0.250  1.0
  Al  Al9  1  0.874  0.748  0.750  1.0
  Al  Al10  1  0.210  0.421  0.030  1.0
  Al  Al11  1  0.790  0.210  0.530  1.0
  Al  Al12  1  0.421  0.210  0.530  1.0
  Al  Al13  1  0.579  0.790  0.030  1.0
  Al  Al14  1  0.210  0.790  0.030  1.0
  Al  Al15  1  0.790  0.579  0.970  1.0
  Al  Al16  1  0.790  0.210  0.970  1.0
  Al  Al17  1  0.790  0.579  0.530  1.0
  Al  Al18  1  0.421  0.210  0.970  1.0
  Al  Al19  1  0.579  0.790  0.470  1.0
  Al  Al20  1  0.210  0.421  0.470  1.0
  Al  Al21  1  0.210  0.790  0.470  1.0
  Al  Al22  1  0.125  0.250  0.617  1.0
  Al  Al23  1  0.875  0.125  0.117  1.0
  Al  Al24  1  0.250  0.125  0.117  1.0
  Al  Al25  1  0.750  0.875  0.617  1.0
  Al  Al26  1  0.125  0.875  0.617  1.0
  Al  Al27  1  0.875  0.750  0.383  1.0
  Al  Al28  1  0.875  0.125  0.383  1.0
  Al  Al29  1  0.875  0.750  0.117  1.0
  Al  Al30  1  0.250  0.125  0.383  1.0
  Al  Al31  1  0.750  0.875  0.883  1.0
  Al  Al32  1  0.125  0.250  0.883  1.0
  Al  Al33  1  0.125  0.875  0.883  1.0
  Al  Al34  1  0.459  0.918  0.166  1.0
  Al  Al35  1  0.541  0.459  0.666  1.0
  Al  Al36  1  0.918  0.459  0.666  1.0
  Al  Al37  1  0.082  0.541  0.166  1.0
  Al  Al38  1  0.459  0.541  0.166  1.0
  Al  Al39  1  0.541  0.082  0.834  1.0
  Al  Al40  1  0.541  0.459  0.834  1.0
  Al  Al41  1  0.541  0.082  0.666  1.0
  Al  Al42  1  0.918  0.459  0.834  1.0
  Al  Al43  1  0.082  0.541  0.334  1.0
  Al  Al44  1  0.459  0.918  0.334  1.0
  Al  Al45  1  0.459  0.541  0.334  1.0
  V  V46  1  0.000  0.000  0.000  1.0
  V  V47  1  0.000  0.000  0.500  1.0
  V  V48  1  0.781  0.561  0.250  1.0
  V  V49  1  0.219  0.781  0.750  1.0
  V  V50  1  0.561  0.781  0.750  1.0
  V  V51  1  0.439  0.219  0.250  1.0
  V  V52  1  0.781  0.219  0.250  1.0
  V  V53  1  0.219  0.439  0.750  1.0
[/CIF]
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The material described by Al23V4 crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent V sites. In the first V site, V(1) is bonded to six equivalent Al(3) and six equivalent Al(4) atoms to form VAl12 cuboctahedra that share corners with six equivalent V(2)Al10V2 cuboctahedra, edges with six equivalent Al(1)Al9V3 cuboctahedra, and edges with twelve equivalent Al(5)Al10V2 cuboctahedra. In the second V site, V(2) is bonded to two equivalent V(2), two equivalent Al(1), two equivalent Al(2), two equivalent Al(4), and four equivalent Al(5) atoms to form distorted VAl10V2 cuboctahedra that share corners with two equivalent V(2)Al10V2 cuboctahedra, corners with two equivalent V(1)Al12 cuboctahedra, corners with four equivalent Al(5)Al10V2 cuboctahedra, edges with four equivalent Al(5)Al10V2 cuboctahedra, faces with two equivalent V(2)Al10V2 cuboctahedra, faces with two equivalent Al(1)Al9V3 cuboctahedra, and faces with six equivalent Al(5)Al10V2 cuboctahedra. There are five inequivalent Al sites. In the first Al site, Al(1) is bonded to three equivalent V(2), three equivalent Al(3), three equivalent Al(4), and three equivalent Al(5) atoms to form distorted AlAl9V3 cuboctahedra that share corners with six equivalent Al(5)Al10V2 cuboctahedra, edges with three equivalent V(1)Al12 cuboctahedra, edges with three equivalent Al(5)Al10V2 cuboctahedra,  a faceface with one Al(1)Al9V3 cuboctahedra, faces with three equivalent V(2)Al10V2 cuboctahedra, and faces with six equivalent Al(5)Al10V2 cuboctahedra. In the second Al site, Al(5) is bonded to two equivalent V(2), one Al(1), two equivalent Al(2), two equivalent Al(3), two equivalent Al(4), and three equivalent Al(5) atoms to form distorted AlAl10V2 cuboctahedra that share corners with two equivalent V(2)Al10V2 cuboctahedra, corners with two equivalent Al(5)Al10V2 cuboctahedra, corners with two equivalent Al(1)Al9V3 cuboctahedra,  an edgeedge with one Al(1)Al9V3 cuboctahedra, edges with two equivalent V(2)Al10V2 cuboctahedra, edges with two equivalent V(1)Al12 cuboctahedra, faces with two equivalent Al(1)Al9V3 cuboctahedra, faces with three equivalent V(2)Al10V2 cuboctahedra, and faces with seven equivalent Al(5)Al10V2 cuboctahedra. In the third Al site, Al(2) is bonded in a 12-coordinate geometry to two equivalent V(2), two equivalent Al(2), four equivalent Al(4), and four equivalent Al(5) atoms. In the fourth Al site, Al(3) is bonded in a 11-coordinate geometry to one V(1), one Al(1), two equivalent Al(5), three equivalent Al(4), and four equivalent Al(3) atoms. In the fifth Al site, Al(4) is bonded in a 12-coordinate geometry to one V(1), one V(2), one Al(1), two equivalent Al(2), two equivalent Al(4), two equivalent Al(5), and three equivalent Al(3) atoms. is represented by the CIF card [CIF]
data_Al23V4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.617
_cell_length_b   7.617
_cell_length_c   16.908
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   849.654
_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
  Al  Al0  1  0.333  0.667  0.615  1.0
  Al  Al1  1  0.667  0.333  0.115  1.0
  Al  Al2  1  0.667  0.333  0.385  1.0
  Al  Al3  1  0.333  0.667  0.885  1.0
  Al  Al4  1  0.126  0.252  0.250  1.0
  Al  Al5  1  0.874  0.126  0.750  1.0
  Al  Al6  1  0.252  0.126  0.750  1.0
  Al  Al7  1  0.748  0.874  0.250  1.0
  Al  Al8  1  0.126  0.874  0.250  1.0
  Al  Al9  1  0.874  0.748  0.750  1.0
  Al  Al10  1  0.210  0.421  0.030  1.0
  Al  Al11  1  0.790  0.210  0.530  1.0
  Al  Al12  1  0.421  0.210  0.530  1.0
  Al  Al13  1  0.579  0.790  0.030  1.0
  Al  Al14  1  0.210  0.790  0.030  1.0
  Al  Al15  1  0.790  0.579  0.970  1.0
  Al  Al16  1  0.790  0.210  0.970  1.0
  Al  Al17  1  0.790  0.579  0.530  1.0
  Al  Al18  1  0.421  0.210  0.970  1.0
  Al  Al19  1  0.579  0.790  0.470  1.0
  Al  Al20  1  0.210  0.421  0.470  1.0
  Al  Al21  1  0.210  0.790  0.470  1.0
  Al  Al22  1  0.125  0.250  0.617  1.0
  Al  Al23  1  0.875  0.125  0.117  1.0
  Al  Al24  1  0.250  0.125  0.117  1.0
  Al  Al25  1  0.750  0.875  0.617  1.0
  Al  Al26  1  0.125  0.875  0.617  1.0
  Al  Al27  1  0.875  0.750  0.383  1.0
  Al  Al28  1  0.875  0.125  0.383  1.0
  Al  Al29  1  0.875  0.750  0.117  1.0
  Al  Al30  1  0.250  0.125  0.383  1.0
  Al  Al31  1  0.750  0.875  0.883  1.0
  Al  Al32  1  0.125  0.250  0.883  1.0
  Al  Al33  1  0.125  0.875  0.883  1.0
  Al  Al34  1  0.459  0.918  0.166  1.0
  Al  Al35  1  0.541  0.459  0.666  1.0
  Al  Al36  1  0.918  0.459  0.666  1.0
  Al  Al37  1  0.082  0.541  0.166  1.0
  Al  Al38  1  0.459  0.541  0.166  1.0
  Al  Al39  1  0.541  0.082  0.834  1.0
  Al  Al40  1  0.541  0.459  0.834  1.0
  Al  Al41  1  0.541  0.082  0.666  1.0
  Al  Al42  1  0.918  0.459  0.834  1.0
  Al  Al43  1  0.082  0.541  0.334  1.0
  Al  Al44  1  0.459  0.918  0.334  1.0
  Al  Al45  1  0.459  0.541  0.334  1.0
  V  V46  1  0.000  0.000  0.000  1.0
  V  V47  1  0.000  0.000  0.500  1.0
  V  V48  1  0.781  0.561  0.250  1.0
  V  V49  1  0.219  0.781  0.750  1.0
  V  V50  1  0.561  0.781  0.750  1.0
  V  V51  1  0.439  0.219  0.250  1.0
  V  V52  1  0.781  0.219  0.250  1.0
  V  V53  1  0.219  0.439  0.750  1.0
[/CIF]
.