The structure described by AlV2O4 is Spinel structured and crystallizes in the monoclinic Cm space group. There are six inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(3), two equivalent O(6), and two equivalent O(8) atoms to form VO6 octahedra that share  a cornercorner with one Al(1)O4 tetrahedra,  a cornercorner with one Al(3)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra, corners with two equivalent Al(4)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and edges with four equivalent V(3)O6 octahedra. In the second V site, V(2) is bonded to one O(2), one O(4), two equivalent O(5), and two equivalent O(7) atoms to form VO6 octahedra that share  a cornercorner with one Al(2)O4 tetrahedra,  a cornercorner with one Al(4)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(3)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and edges with four equivalent V(4)O6 octahedra. In the third V site, V(3) is bonded to one O(1), one O(10), one O(12), one O(3), one O(6), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one Al(1)O4 tetrahedra,  a cornercorner with one Al(3)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra, corners with two equivalent Al(4)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent V(3)O6 octahedra. In the fourth V site, V(4) is bonded to one O(11), one O(2), one O(4), one O(5), one O(7), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Al(2)O4 tetrahedra,  a cornercorner with one Al(4)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(3)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent V(4)O6 octahedra. In the fifth V site, V(5) is bonded to one O(12), one O(9), two equivalent O(6), and two equivalent O(7) atoms to form VO6 octahedra that share corners with three equivalent Al(2)O4 tetrahedra, corners with three equivalent Al(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(4)O6 octahedra. In the sixth V site, V(6) is bonded to one O(10), one O(11), two equivalent O(5), and two equivalent O(8) atoms to form VO6 octahedra that share corners with three equivalent Al(1)O4 tetrahedra, corners with three equivalent Al(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(4)O6 octahedra. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(11), one O(3), and two equivalent O(5) atoms to form AlO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with three equivalent V(6)O6 octahedra, and corners with four equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the second Al site, Al(2) is bonded to one O(12), one O(4), and two equivalent O(6) atoms to form AlO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with three equivalent V(5)O6 octahedra, and corners with four equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-56°. In the third Al site, Al(3) is bonded to one O(1), one O(9), and two equivalent O(7) atoms to form AlO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with three equivalent V(5)O6 octahedra, and corners with four equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-56°. In the fourth Al site, Al(4) is bonded to one O(10), one O(2), and two equivalent O(8) atoms to form AlO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with three equivalent V(6)O6 octahedra, and corners with four equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one V(1), two equivalent V(3), and one Al(3) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one V(2), two equivalent V(4), and one Al(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one V(1), two equivalent V(3), and one Al(1) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one V(2), two equivalent V(4), and one Al(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one V(2), one V(4), one V(6), and one Al(1) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one V(1), one V(3), one V(5), and one Al(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one V(2), one V(4), one V(5), and one Al(3) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one V(1), one V(3), one V(6), and one Al(4) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one V(5), two equivalent V(4), and one Al(3) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one V(6), two equivalent V(3), and one Al(4) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one V(6), two equivalent V(4), and one Al(1) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one V(5), two equivalent V(3), and one Al(2) atom. is represented by the CIF card [CIF]
data_AlV2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.893
_cell_length_b   5.980
_cell_length_c   10.411
_cell_angle_alpha   71.953
_cell_angle_beta   90.005
_cell_angle_gamma   119.492
_symmetry_Int_Tables_number   1
_cell_volume   298.452
_cell_formula_units_Z   4
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  0.689  0.379  0.936  1.0
  Al  Al1  1  0.183  0.365  0.443  1.0
  Al  Al2  1  0.817  0.635  0.557  1.0
  Al  Al3  1  0.311  0.623  0.064  1.0
  V  V4  1  0.754  0.509  0.249  1.0
  V  V5  1  0.245  0.490  0.752  1.0
  V  V6  1  0.740  0.002  0.250  1.0
  V  V7  1  0.261  0.998  0.749  1.0
  V  V8  1  0.262  0.002  0.250  1.0
  V  V9  1  0.738  0.998  0.749  1.0
  V  V10  1  0.500  0.001  0.500  1.0
  V  V11  1  0.001  0.001  0.999  1.0
  O  O12  1  0.880  0.761  0.372  1.0
  O  O13  1  0.369  0.737  0.878  1.0
  O  O14  1  0.631  0.262  0.122  1.0
  O  O15  1  0.120  0.239  0.628  1.0
  O  O16  1  0.865  0.242  0.876  1.0
  O  O17  1  0.372  0.244  0.380  1.0
  O  O18  1  0.128  0.755  0.620  1.0
  O  O19  1  0.624  0.759  0.123  1.0
  O  O20  1  0.631  0.261  0.617  1.0
  O  O21  1  0.124  0.248  0.127  1.0
  O  O22  1  0.378  0.242  0.876  1.0
  O  O23  1  0.872  0.244  0.380  1.0
  O  O24  1  0.626  0.755  0.620  1.0
  O  O25  1  0.135  0.759  0.123  1.0
  O  O26  1  0.877  0.753  0.873  1.0
  O  O27  1  0.369  0.739  0.383  1.0
[/CIF]
.
The structure described by AlV2O4 is Spinel structured and crystallizes in the monoclinic Cm space group. There are six inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(3), two equivalent O(6), and two equivalent O(8) atoms to form VO6 octahedra that share  a cornercorner with one Al(1)O4 tetrahedra,  a cornercorner with one Al(3)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra, corners with two equivalent Al(4)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and edges with four equivalent V(3)O6 octahedra. In the second V site, V(2) is bonded to one O(2), one O(4), two equivalent O(5), and two equivalent O(7) atoms to form VO6 octahedra that share  a cornercorner with one Al(2)O4 tetrahedra,  a cornercorner with one Al(4)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(3)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and edges with four equivalent V(4)O6 octahedra. In the third V site, V(3) is bonded to one O(1), one O(10), one O(12), one O(3), one O(6), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one Al(1)O4 tetrahedra,  a cornercorner with one Al(3)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra, corners with two equivalent Al(4)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent V(3)O6 octahedra. In the fourth V site, V(4) is bonded to one O(11), one O(2), one O(4), one O(5), one O(7), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Al(2)O4 tetrahedra,  a cornercorner with one Al(4)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(3)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent V(4)O6 octahedra. In the fifth V site, V(5) is bonded to one O(12), one O(9), two equivalent O(6), and two equivalent O(7) atoms to form VO6 octahedra that share corners with three equivalent Al(2)O4 tetrahedra, corners with three equivalent Al(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(4)O6 octahedra. In the sixth V site, V(6) is bonded to one O(10), one O(11), two equivalent O(5), and two equivalent O(8) atoms to form VO6 octahedra that share corners with three equivalent Al(1)O4 tetrahedra, corners with three equivalent Al(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(4)O6 octahedra. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(11), one O(3), and two equivalent O(5) atoms to form AlO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with three equivalent V(6)O6 octahedra, and corners with four equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the second Al site, Al(2) is bonded to one O(12), one O(4), and two equivalent O(6) atoms to form AlO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with three equivalent V(5)O6 octahedra, and corners with four equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-56°. In the third Al site, Al(3) is bonded to one O(1), one O(9), and two equivalent O(7) atoms to form AlO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with three equivalent V(5)O6 octahedra, and corners with four equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-56°. In the fourth Al site, Al(4) is bonded to one O(10), one O(2), and two equivalent O(8) atoms to form AlO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with three equivalent V(6)O6 octahedra, and corners with four equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one V(1), two equivalent V(3), and one Al(3) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one V(2), two equivalent V(4), and one Al(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one V(1), two equivalent V(3), and one Al(1) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one V(2), two equivalent V(4), and one Al(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one V(2), one V(4), one V(6), and one Al(1) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one V(1), one V(3), one V(5), and one Al(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one V(2), one V(4), one V(5), and one Al(3) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one V(1), one V(3), one V(6), and one Al(4) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one V(5), two equivalent V(4), and one Al(3) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one V(6), two equivalent V(3), and one Al(4) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one V(6), two equivalent V(4), and one Al(1) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one V(5), two equivalent V(3), and one Al(2) atom. is represented by the CIF card [CIF]
data_AlV2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.893
_cell_length_b   5.980
_cell_length_c   10.411
_cell_angle_alpha   71.953
_cell_angle_beta   90.005
_cell_angle_gamma   119.492
_symmetry_Int_Tables_number   1
_cell_volume   298.452
_cell_formula_units_Z   4
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  0.689  0.379  0.936  1.0
  Al  Al1  1  0.183  0.365  0.443  1.0
  Al  Al2  1  0.817  0.635  0.557  1.0
  Al  Al3  1  0.311  0.623  0.064  1.0
  V  V4  1  0.754  0.509  0.249  1.0
  V  V5  1  0.245  0.490  0.752  1.0
  V  V6  1  0.740  0.002  0.250  1.0
  V  V7  1  0.261  0.998  0.749  1.0
  V  V8  1  0.262  0.002  0.250  1.0
  V  V9  1  0.738  0.998  0.749  1.0
  V  V10  1  0.500  0.001  0.500  1.0
  V  V11  1  0.001  0.001  0.999  1.0
  O  O12  1  0.880  0.761  0.372  1.0
  O  O13  1  0.369  0.737  0.878  1.0
  O  O14  1  0.631  0.262  0.122  1.0
  O  O15  1  0.120  0.239  0.628  1.0
  O  O16  1  0.865  0.242  0.876  1.0
  O  O17  1  0.372  0.244  0.380  1.0
  O  O18  1  0.128  0.755  0.620  1.0
  O  O19  1  0.624  0.759  0.123  1.0
  O  O20  1  0.631  0.261  0.617  1.0
  O  O21  1  0.124  0.248  0.127  1.0
  O  O22  1  0.378  0.242  0.876  1.0
  O  O23  1  0.872  0.244  0.380  1.0
  O  O24  1  0.626  0.755  0.620  1.0
  O  O25  1  0.135  0.759  0.123  1.0
  O  O26  1  0.877  0.753  0.873  1.0
  O  O27  1  0.369  0.739  0.383  1.0
[/CIF]
.