The crystal structure described by Na2VO4 crystallizes in the triclinic P-1 space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(2), one O(3), one O(7), and two equivalent O(8) atoms to form distorted NaO6 octahedra that share corners with two equivalent Na(2)O6 octahedra,  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra, corners with two equivalent Na(4)O5 trigonal bipyramids,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one V(1)O4 tetrahedra, and  an edgeedge with one Na(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 8-74°. In the second Na site, Na(2) is bonded to one O(1), one O(3), one O(6), one O(8), and two equivalent O(5) atoms to form distorted NaO6 octahedra that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent V(1)O4 tetrahedra, corners with three equivalent V(2)O4 tetrahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra, and  an edgeedge with one Na(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 8-74°. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(6), and two equivalent O(4) atoms. In the fourth Na site, Na(4) is bonded to one O(1), one O(2), one O(6), and two equivalent O(7) atoms to form NaO5 trigonal bipyramids that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent V(1)O4 tetrahedra, corners with three equivalent V(2)O4 tetrahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra, and  an edgeedge with one Na(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 65-72°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form VO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra, corners with two equivalent Na(2)O6 octahedra,  a cornercorner with one V(2)O4 tetrahedra, corners with two equivalent Na(4)O5 trigonal bipyramids, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-64°. In the second V site, V(2) is bonded to one O(4), one O(5), one O(6), and one O(7) atom to form VO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra, corners with three equivalent Na(2)O6 octahedra,  a cornercorner with one V(1)O4 tetrahedra, and corners with three equivalent Na(4)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 50-61°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one Na(4), and one V(1) atom. In the second O site, O(2) is bonded to one Na(1), one Na(3), one Na(4), and one V(1) atom to form a mixture of distorted corner and edge-sharing ONa3V tetrahedra. In the third O site, O(3) is bonded to one Na(1), one Na(2), one Na(3), and one V(1) atom to form a mixture of corner and edge-sharing ONa3V trigonal pyramids. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na(3), one V(1), and one V(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to two equivalent Na(2) and one V(2) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Na(2), one Na(3), one Na(4), and one V(2) atom. In the seventh O site, O(7) is bonded to one Na(1), two equivalent Na(4), and one V(2) atom to form a mixture of distorted corner and edge-sharing ONa3V trigonal pyramids. In the eighth O site, O(8) is bonded in a T-shaped geometry to one Na(2) and two equivalent Na(1) atoms. is represented by the CIF file [CIF]
data_Na2VO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.964
_cell_length_b   7.312
_cell_length_c   8.566
_cell_angle_alpha   84.190
_cell_angle_beta   85.504
_cell_angle_gamma   76.014
_symmetry_Int_Tables_number   1
_cell_volume   420.424
_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
  Na  Na0  1  0.090  0.979  0.711  1.0
  Na  Na1  1  0.910  0.021  0.289  1.0
  Na  Na2  1  0.132  0.496  0.687  1.0
  Na  Na3  1  0.868  0.504  0.313  1.0
  Na  Na4  1  0.323  0.689  0.041  1.0
  Na  Na5  1  0.677  0.311  0.959  1.0
  Na  Na6  1  0.490  0.870  0.332  1.0
  Na  Na7  1  0.510  0.130  0.668  1.0
  V  V8  1  0.814  0.802  0.954  1.0
  V  V9  1  0.186  0.198  0.046  1.0
  V  V10  1  0.589  0.639  0.690  1.0
  V  V11  1  0.411  0.361  0.310  1.0
  O  O12  1  0.792  0.811  0.154  1.0
  O  O13  1  0.208  0.189  0.846  1.0
  O  O14  1  0.750  0.023  0.856  1.0
  O  O15  1  0.250  0.977  0.144  1.0
  O  O16  1  0.055  0.707  0.892  1.0
  O  O17  1  0.945  0.293  0.108  1.0
  O  O18  1  0.644  0.660  0.894  1.0
  O  O19  1  0.356  0.340  0.106  1.0
  O  O20  1  0.809  0.591  0.574  1.0
  O  O21  1  0.191  0.409  0.426  1.0
  O  O22  1  0.487  0.448  0.709  1.0
  O  O23  1  0.513  0.552  0.291  1.0
  O  O24  1  0.429  0.841  0.618  1.0
  O  O25  1  0.571  0.159  0.382  1.0
  O  O26  1  0.963  0.231  0.504  1.0
  O  O27  1  0.037  0.769  0.496  1.0
[/CIF]
.
The crystal structure described by Na2VO4 crystallizes in the triclinic P-1 space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(2), one O(3), one O(7), and two equivalent O(8) atoms to form distorted NaO6 octahedra that share corners with two equivalent Na(2)O6 octahedra,  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra, corners with two equivalent Na(4)O5 trigonal bipyramids,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one V(1)O4 tetrahedra, and  an edgeedge with one Na(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 8-74°. In the second Na site, Na(2) is bonded to one O(1), one O(3), one O(6), one O(8), and two equivalent O(5) atoms to form distorted NaO6 octahedra that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent V(1)O4 tetrahedra, corners with three equivalent V(2)O4 tetrahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra, and  an edgeedge with one Na(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 8-74°. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(6), and two equivalent O(4) atoms. In the fourth Na site, Na(4) is bonded to one O(1), one O(2), one O(6), and two equivalent O(7) atoms to form NaO5 trigonal bipyramids that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent V(1)O4 tetrahedra, corners with three equivalent V(2)O4 tetrahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra, and  an edgeedge with one Na(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 65-72°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form VO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra, corners with two equivalent Na(2)O6 octahedra,  a cornercorner with one V(2)O4 tetrahedra, corners with two equivalent Na(4)O5 trigonal bipyramids, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-64°. In the second V site, V(2) is bonded to one O(4), one O(5), one O(6), and one O(7) atom to form VO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra, corners with three equivalent Na(2)O6 octahedra,  a cornercorner with one V(1)O4 tetrahedra, and corners with three equivalent Na(4)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 50-61°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one Na(4), and one V(1) atom. In the second O site, O(2) is bonded to one Na(1), one Na(3), one Na(4), and one V(1) atom to form a mixture of distorted corner and edge-sharing ONa3V tetrahedra. In the third O site, O(3) is bonded to one Na(1), one Na(2), one Na(3), and one V(1) atom to form a mixture of corner and edge-sharing ONa3V trigonal pyramids. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na(3), one V(1), and one V(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to two equivalent Na(2) and one V(2) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Na(2), one Na(3), one Na(4), and one V(2) atom. In the seventh O site, O(7) is bonded to one Na(1), two equivalent Na(4), and one V(2) atom to form a mixture of distorted corner and edge-sharing ONa3V trigonal pyramids. In the eighth O site, O(8) is bonded in a T-shaped geometry to one Na(2) and two equivalent Na(1) atoms. is represented by the CIF file [CIF]
data_Na2VO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.964
_cell_length_b   7.312
_cell_length_c   8.566
_cell_angle_alpha   84.190
_cell_angle_beta   85.504
_cell_angle_gamma   76.014
_symmetry_Int_Tables_number   1
_cell_volume   420.424
_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
  Na  Na0  1  0.090  0.979  0.711  1.0
  Na  Na1  1  0.910  0.021  0.289  1.0
  Na  Na2  1  0.132  0.496  0.687  1.0
  Na  Na3  1  0.868  0.504  0.313  1.0
  Na  Na4  1  0.323  0.689  0.041  1.0
  Na  Na5  1  0.677  0.311  0.959  1.0
  Na  Na6  1  0.490  0.870  0.332  1.0
  Na  Na7  1  0.510  0.130  0.668  1.0
  V  V8  1  0.814  0.802  0.954  1.0
  V  V9  1  0.186  0.198  0.046  1.0
  V  V10  1  0.589  0.639  0.690  1.0
  V  V11  1  0.411  0.361  0.310  1.0
  O  O12  1  0.792  0.811  0.154  1.0
  O  O13  1  0.208  0.189  0.846  1.0
  O  O14  1  0.750  0.023  0.856  1.0
  O  O15  1  0.250  0.977  0.144  1.0
  O  O16  1  0.055  0.707  0.892  1.0
  O  O17  1  0.945  0.293  0.108  1.0
  O  O18  1  0.644  0.660  0.894  1.0
  O  O19  1  0.356  0.340  0.106  1.0
  O  O20  1  0.809  0.591  0.574  1.0
  O  O21  1  0.191  0.409  0.426  1.0
  O  O22  1  0.487  0.448  0.709  1.0
  O  O23  1  0.513  0.552  0.291  1.0
  O  O24  1  0.429  0.841  0.618  1.0
  O  O25  1  0.571  0.159  0.382  1.0
  O  O26  1  0.963  0.231  0.504  1.0
  O  O27  1  0.037  0.769  0.496  1.0
[/CIF]
.