The structure described by NaV2O4 crystallizes in the monoclinic Pm space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded in a 8-coordinate geometry to one O(3), one O(4), two equivalent O(11), two equivalent O(14), and two equivalent O(7) atoms. In the second Na site, Na(2) is bonded in a 8-coordinate geometry to one O(3), one O(4), two equivalent O(10), two equivalent O(15), and two equivalent O(6) atoms. In the third Na site, Na(3) is bonded in a 8-coordinate geometry to one O(1), one O(2), two equivalent O(16), two equivalent O(5), and two equivalent O(9) atoms. In the fourth Na site, Na(4) is bonded in a 8-coordinate geometry to one O(1), one O(2), two equivalent O(12), two equivalent O(13), and two equivalent O(8) atoms. There are eight inequivalent V sites. In the first V site, V(1) is bonded to one O(4), one O(5), two equivalent O(14), and two equivalent O(6) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. In the second V site, V(2) is bonded to one O(10), one O(14), two equivalent O(3), and two equivalent O(9) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-54°. In the third V site, V(3) is bonded to one O(13), one O(9), two equivalent O(10), and two equivalent O(2) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-55°. In the fourth V site, V(4) is bonded to one O(12), one O(16), two equivalent O(1), and two equivalent O(11) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the fifth V site, V(5) is bonded to one O(1), one O(6), two equivalent O(13), and two equivalent O(5) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-55°. In the sixth V site, V(6) is bonded to one O(2), one O(7), two equivalent O(16), and two equivalent O(8) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the seventh V site, V(7) is bonded to one O(3), one O(8), two equivalent O(15), and two equivalent O(7) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the eighth V site, V(8) is bonded to one O(11), one O(15), two equivalent O(12), and two equivalent O(4) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 47-53°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(3), one Na(4), one V(5), and two equivalent V(4) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the second O site, O(2) is bonded to one Na(3), one Na(4), one V(6), and two equivalent V(3) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the third O site, O(3) is bonded to one Na(1), one Na(2), one V(7), and two equivalent V(2) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the fourth O site, O(4) is bonded to one Na(1), one Na(2), one V(1), and two equivalent V(8) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the fifth O site, O(5) is bonded to two equivalent Na(3), one V(1), and two equivalent V(5) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the sixth O site, O(6) is bonded to two equivalent Na(2), one V(5), and two equivalent V(1) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the seventh O site, O(7) is bonded to two equivalent Na(1), one V(6), and two equivalent V(7) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the eighth O site, O(8) is bonded to two equivalent Na(4), one V(7), and two equivalent V(6) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the ninth O site, O(9) is bonded to two equivalent Na(3), one V(3), and two equivalent V(2) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 square pyramids. In the tenth O site, O(10) is bonded to two equivalent Na(2), one V(2), and two equivalent V(3) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 square pyramids. In the eleventh O site, O(11) is bonded to two equivalent Na(1), one V(8), and two equivalent V(4) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 square pyramids. In the twelfth O site, O(12) is bonded to two equivalent Na(4), one V(4), and two equivalent V(8) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 square pyramids. In the thirteenth O site, O(13) is bonded in a 5-coordinate geometry to two equivalent Na(4), one V(3), and two equivalent V(5) atoms. In the fourteenth O site, O(14) is bonded in a 5-coordinate geometry to two equivalent Na(1), one V(2), and two equivalent V(1) atoms. In the fifteenth O site, O(15) is bonded in a 5-coordinate geometry to two equivalent Na(2), one V(8), and two equivalent V(7) atoms. In the sixteenth O site, O(16) is bonded in a 5-coordinate geometry to two equivalent Na(3), one V(4), and two equivalent V(6) atoms. is represented by the CIF file [CIF]
data_NaV2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.947
_cell_length_b   9.276
_cell_length_c   10.875
_cell_angle_alpha   89.762
_cell_angle_beta   90.008
_cell_angle_gamma   89.999
_symmetry_Int_Tables_number   1
_cell_volume   297.278
_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  0.750  0.256  0.847  1.0
  Na  Na1  1  0.750  0.755  0.654  1.0
  Na  Na2  1  0.250  0.244  0.349  1.0
  Na  Na3  1  0.250  0.746  0.152  1.0
  V  V4  1  0.750  0.434  0.611  1.0
  V  V5  1  0.250  0.080  0.605  1.0
  V  V6  1  0.750  0.920  0.396  1.0
  V  V7  1  0.750  0.415  0.106  1.0
  V  V8  1  0.250  0.567  0.388  1.0
  V  V9  1  0.250  0.065  0.109  1.0
  V  V10  1  0.750  0.934  0.889  1.0
  V  V11  1  0.250  0.578  0.897  1.0
  O  O12  1  0.250  0.480  0.214  1.0
  O  O13  1  0.250  0.980  0.284  1.0
  O  O14  1  0.750  0.020  0.718  1.0
  O  O15  1  0.750  0.521  0.782  1.0
  O  O16  1  0.750  0.424  0.427  1.0
  O  O17  1  0.250  0.577  0.571  1.0
  O  O18  1  0.250  0.076  0.925  1.0
  O  O19  1  0.750  0.924  0.070  1.0
  O  O20  1  0.750  0.113  0.481  1.0
  O  O21  1  0.250  0.887  0.519  1.0
  O  O22  1  0.250  0.385  0.984  1.0
  O  O23  1  0.750  0.608  0.023  1.0
  O  O24  1  0.750  0.710  0.349  1.0
  O  O25  1  0.250  0.291  0.649  1.0
  O  O26  1  0.250  0.790  0.853  1.0
  O  O27  1  0.750  0.219  0.151  1.0
[/CIF]
.
The structure described by NaV2O4 crystallizes in the monoclinic Pm space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded in a 8-coordinate geometry to one O(3), one O(4), two equivalent O(11), two equivalent O(14), and two equivalent O(7) atoms. In the second Na site, Na(2) is bonded in a 8-coordinate geometry to one O(3), one O(4), two equivalent O(10), two equivalent O(15), and two equivalent O(6) atoms. In the third Na site, Na(3) is bonded in a 8-coordinate geometry to one O(1), one O(2), two equivalent O(16), two equivalent O(5), and two equivalent O(9) atoms. In the fourth Na site, Na(4) is bonded in a 8-coordinate geometry to one O(1), one O(2), two equivalent O(12), two equivalent O(13), and two equivalent O(8) atoms. There are eight inequivalent V sites. In the first V site, V(1) is bonded to one O(4), one O(5), two equivalent O(14), and two equivalent O(6) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. In the second V site, V(2) is bonded to one O(10), one O(14), two equivalent O(3), and two equivalent O(9) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-54°. In the third V site, V(3) is bonded to one O(13), one O(9), two equivalent O(10), and two equivalent O(2) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-55°. In the fourth V site, V(4) is bonded to one O(12), one O(16), two equivalent O(1), and two equivalent O(11) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the fifth V site, V(5) is bonded to one O(1), one O(6), two equivalent O(13), and two equivalent O(5) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-55°. In the sixth V site, V(6) is bonded to one O(2), one O(7), two equivalent O(16), and two equivalent O(8) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the seventh V site, V(7) is bonded to one O(3), one O(8), two equivalent O(15), and two equivalent O(7) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the eighth V site, V(8) is bonded to one O(11), one O(15), two equivalent O(12), and two equivalent O(4) atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 47-53°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(3), one Na(4), one V(5), and two equivalent V(4) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the second O site, O(2) is bonded to one Na(3), one Na(4), one V(6), and two equivalent V(3) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the third O site, O(3) is bonded to one Na(1), one Na(2), one V(7), and two equivalent V(2) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the fourth O site, O(4) is bonded to one Na(1), one Na(2), one V(1), and two equivalent V(8) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the fifth O site, O(5) is bonded to two equivalent Na(3), one V(1), and two equivalent V(5) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the sixth O site, O(6) is bonded to two equivalent Na(2), one V(5), and two equivalent V(1) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the seventh O site, O(7) is bonded to two equivalent Na(1), one V(6), and two equivalent V(7) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the eighth O site, O(8) is bonded to two equivalent Na(4), one V(7), and two equivalent V(6) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 trigonal bipyramids. In the ninth O site, O(9) is bonded to two equivalent Na(3), one V(3), and two equivalent V(2) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 square pyramids. In the tenth O site, O(10) is bonded to two equivalent Na(2), one V(2), and two equivalent V(3) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 square pyramids. In the eleventh O site, O(11) is bonded to two equivalent Na(1), one V(8), and two equivalent V(4) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 square pyramids. In the twelfth O site, O(12) is bonded to two equivalent Na(4), one V(4), and two equivalent V(8) atoms to form a mixture of distorted edge and corner-sharing ONa2V3 square pyramids. In the thirteenth O site, O(13) is bonded in a 5-coordinate geometry to two equivalent Na(4), one V(3), and two equivalent V(5) atoms. In the fourteenth O site, O(14) is bonded in a 5-coordinate geometry to two equivalent Na(1), one V(2), and two equivalent V(1) atoms. In the fifteenth O site, O(15) is bonded in a 5-coordinate geometry to two equivalent Na(2), one V(8), and two equivalent V(7) atoms. In the sixteenth O site, O(16) is bonded in a 5-coordinate geometry to two equivalent Na(3), one V(4), and two equivalent V(6) atoms. is represented by the CIF file [CIF]
data_NaV2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.947
_cell_length_b   9.276
_cell_length_c   10.875
_cell_angle_alpha   89.762
_cell_angle_beta   90.008
_cell_angle_gamma   89.999
_symmetry_Int_Tables_number   1
_cell_volume   297.278
_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  0.750  0.256  0.847  1.0
  Na  Na1  1  0.750  0.755  0.654  1.0
  Na  Na2  1  0.250  0.244  0.349  1.0
  Na  Na3  1  0.250  0.746  0.152  1.0
  V  V4  1  0.750  0.434  0.611  1.0
  V  V5  1  0.250  0.080  0.605  1.0
  V  V6  1  0.750  0.920  0.396  1.0
  V  V7  1  0.750  0.415  0.106  1.0
  V  V8  1  0.250  0.567  0.388  1.0
  V  V9  1  0.250  0.065  0.109  1.0
  V  V10  1  0.750  0.934  0.889  1.0
  V  V11  1  0.250  0.578  0.897  1.0
  O  O12  1  0.250  0.480  0.214  1.0
  O  O13  1  0.250  0.980  0.284  1.0
  O  O14  1  0.750  0.020  0.718  1.0
  O  O15  1  0.750  0.521  0.782  1.0
  O  O16  1  0.750  0.424  0.427  1.0
  O  O17  1  0.250  0.577  0.571  1.0
  O  O18  1  0.250  0.076  0.925  1.0
  O  O19  1  0.750  0.924  0.070  1.0
  O  O20  1  0.750  0.113  0.481  1.0
  O  O21  1  0.250  0.887  0.519  1.0
  O  O22  1  0.250  0.385  0.984  1.0
  O  O23  1  0.750  0.608  0.023  1.0
  O  O24  1  0.750  0.710  0.349  1.0
  O  O25  1  0.250  0.291  0.649  1.0
  O  O26  1  0.250  0.790  0.853  1.0
  O  O27  1  0.750  0.219  0.151  1.0
[/CIF]
.