The compound described by NaV2O4 crystallizes in the monoclinic Cc space group. Na(1) is bonded in a 6-coordinate geometry to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form edge-sharing VO6 octahedra. In the second V site, V(2) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(4) atoms to form edge-sharing VO6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Na(1), one V(2), and two equivalent V(1) atoms to form distorted ONa2V3 square pyramids that share corners with four equivalent O(2)Na2V3 square pyramids, corners with three equivalent O(3)NaV3 trigonal pyramids, edges with two equivalent O(1)Na2V3 square pyramids, edges with two equivalent O(2)Na2V3 square pyramids, and edges with two equivalent O(3)NaV3 trigonal pyramids. In the second O site, O(2) is bonded to two equivalent Na(1), one V(1), and two equivalent V(2) atoms to form distorted ONa2V3 square pyramids that share corners with four equivalent O(1)Na2V3 square pyramids, corners with two equivalent O(3)NaV3 trigonal pyramids, edges with two equivalent O(1)Na2V3 square pyramids, edges with two equivalent O(2)Na2V3 square pyramids, and edges with two equivalent O(3)NaV3 trigonal pyramids. In the third O site, O(3) is bonded to one Na(1), one V(2), and two equivalent V(1) atoms to form ONaV3 trigonal pyramids that share corners with two equivalent O(2)Na2V3 square pyramids, corners with three equivalent O(1)Na2V3 square pyramids, corners with two equivalent O(3)NaV3 trigonal pyramids, edges with two equivalent O(1)Na2V3 square pyramids, and edges with two equivalent O(2)Na2V3 square pyramids. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Na(1), one V(1), and two equivalent V(2) atoms. is represented by the CIF file [CIF]
data_NaV2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.192
_cell_length_b   5.944
_cell_length_c   6.629
_cell_angle_alpha   116.637
_cell_angle_beta   103.430
_cell_angle_gamma   89.996
_symmetry_Int_Tables_number   1
_cell_volume   176.599
_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
  Na  Na0  1  0.750  0.693  0.004  1.0
  Na  Na1  1  0.250  0.310  0.004  1.0
  V  V2  1  0.753  0.620  0.493  1.0
  V  V3  1  0.748  0.128  0.506  1.0
  V  V4  1  0.248  0.378  0.506  1.0
  V  V5  1  0.253  0.873  0.493  1.0
  O  O6  1  0.034  0.529  0.311  1.0
  O  O7  1  0.474  0.225  0.689  1.0
  O  O8  1  0.974  0.464  0.689  1.0
  O  O9  1  0.534  0.782  0.311  1.0
  O  O10  1  0.460  0.697  0.675  1.0
  O  O11  1  0.031  0.054  0.323  1.0
  O  O12  1  0.530  0.269  0.323  1.0
  O  O13  1  0.960  0.978  0.675  1.0
[/CIF]
.
The compound described by NaV2O4 crystallizes in the monoclinic Cc space group. Na(1) is bonded in a 6-coordinate geometry to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form edge-sharing VO6 octahedra. In the second V site, V(2) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(4) atoms to form edge-sharing VO6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Na(1), one V(2), and two equivalent V(1) atoms to form distorted ONa2V3 square pyramids that share corners with four equivalent O(2)Na2V3 square pyramids, corners with three equivalent O(3)NaV3 trigonal pyramids, edges with two equivalent O(1)Na2V3 square pyramids, edges with two equivalent O(2)Na2V3 square pyramids, and edges with two equivalent O(3)NaV3 trigonal pyramids. In the second O site, O(2) is bonded to two equivalent Na(1), one V(1), and two equivalent V(2) atoms to form distorted ONa2V3 square pyramids that share corners with four equivalent O(1)Na2V3 square pyramids, corners with two equivalent O(3)NaV3 trigonal pyramids, edges with two equivalent O(1)Na2V3 square pyramids, edges with two equivalent O(2)Na2V3 square pyramids, and edges with two equivalent O(3)NaV3 trigonal pyramids. In the third O site, O(3) is bonded to one Na(1), one V(2), and two equivalent V(1) atoms to form ONaV3 trigonal pyramids that share corners with two equivalent O(2)Na2V3 square pyramids, corners with three equivalent O(1)Na2V3 square pyramids, corners with two equivalent O(3)NaV3 trigonal pyramids, edges with two equivalent O(1)Na2V3 square pyramids, and edges with two equivalent O(2)Na2V3 square pyramids. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Na(1), one V(1), and two equivalent V(2) atoms. is represented by the CIF file [CIF]
data_NaV2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.192
_cell_length_b   5.944
_cell_length_c   6.629
_cell_angle_alpha   116.637
_cell_angle_beta   103.430
_cell_angle_gamma   89.996
_symmetry_Int_Tables_number   1
_cell_volume   176.599
_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
  Na  Na0  1  0.750  0.693  0.004  1.0
  Na  Na1  1  0.250  0.310  0.004  1.0
  V  V2  1  0.753  0.620  0.493  1.0
  V  V3  1  0.748  0.128  0.506  1.0
  V  V4  1  0.248  0.378  0.506  1.0
  V  V5  1  0.253  0.873  0.493  1.0
  O  O6  1  0.034  0.529  0.311  1.0
  O  O7  1  0.474  0.225  0.689  1.0
  O  O8  1  0.974  0.464  0.689  1.0
  O  O9  1  0.534  0.782  0.311  1.0
  O  O10  1  0.460  0.697  0.675  1.0
  O  O11  1  0.031  0.054  0.323  1.0
  O  O12  1  0.530  0.269  0.323  1.0
  O  O13  1  0.960  0.978  0.675  1.0
[/CIF]
.