The crystal structure described by K3VO8 crystallizes in the tetragonal I-42m space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 12-coordinate geometry to four equivalent O(2) and eight equivalent O(1) atoms. In the second K site, K(2) is bonded to four equivalent O(1) and four equivalent O(2) atoms to form KO8 hexagonal bipyramids that share corners with four equivalent V(1)O8 hexagonal bipyramids, corners with four equivalent O(2)K3VO trigonal bipyramids, and edges with two equivalent V(1)O8 hexagonal bipyramids. V(1) is bonded to four equivalent O(1) and four equivalent O(2) atoms to form distorted VO8 hexagonal bipyramids that share corners with four equivalent K(2)O8 hexagonal bipyramids, corners with four equivalent O(2)K3VO trigonal bipyramids, and edges with two equivalent K(2)O8 hexagonal bipyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one K(2), four equivalent K(1), one V(1), and one O(2) atom. In the second O site, O(2) is bonded to one K(2), two equivalent K(1), one V(1), and one O(1) atom to form distorted OK3VO trigonal bipyramids that share  a cornercorner with one K(2)O8 hexagonal bipyramid,  a cornercorner with one V(1)O8 hexagonal bipyramid, corners with ten equivalent O(2)K3VO trigonal bipyramids, and  an edgeedge with one O(2)K3VO trigonal bipyramid. is represented by the CIF card [CIF]
data_K3VO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.195
_cell_length_b   6.195
_cell_length_c   6.195
_cell_angle_alpha   113.314
_cell_angle_beta   113.314
_cell_angle_gamma   102.033
_symmetry_Int_Tables_number   1
_cell_volume   180.761
_cell_formula_units_Z   1
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
  K  K0  1  0.750  0.250  0.500  1.0
  K  K1  1  0.250  0.750  0.500  1.0
  K  K2  1  0.500  0.500  0.000  1.0
  V  V3  1  0.000  0.000  0.000  1.0
  O  O4  1  0.220  0.220  0.410  1.0
  O  O5  1  0.811  0.811  0.590  1.0
  O  O6  1  0.780  0.189  0.000  1.0
  O  O7  1  0.189  0.780  0.000  1.0
  O  O8  1  0.318  0.318  0.270  1.0
  O  O9  1  0.048  0.048  0.730  1.0
  O  O10  1  0.682  0.952  0.000  1.0
  O  O11  1  0.952  0.682  0.000  1.0
[/CIF]
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The crystal structure described by K3VO8 crystallizes in the tetragonal I-42m space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 12-coordinate geometry to four equivalent O(2) and eight equivalent O(1) atoms. In the second K site, K(2) is bonded to four equivalent O(1) and four equivalent O(2) atoms to form KO8 hexagonal bipyramids that share corners with four equivalent V(1)O8 hexagonal bipyramids, corners with four equivalent O(2)K3VO trigonal bipyramids, and edges with two equivalent V(1)O8 hexagonal bipyramids. V(1) is bonded to four equivalent O(1) and four equivalent O(2) atoms to form distorted VO8 hexagonal bipyramids that share corners with four equivalent K(2)O8 hexagonal bipyramids, corners with four equivalent O(2)K3VO trigonal bipyramids, and edges with two equivalent K(2)O8 hexagonal bipyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one K(2), four equivalent K(1), one V(1), and one O(2) atom. In the second O site, O(2) is bonded to one K(2), two equivalent K(1), one V(1), and one O(1) atom to form distorted OK3VO trigonal bipyramids that share  a cornercorner with one K(2)O8 hexagonal bipyramid,  a cornercorner with one V(1)O8 hexagonal bipyramid, corners with ten equivalent O(2)K3VO trigonal bipyramids, and  an edgeedge with one O(2)K3VO trigonal bipyramid. is represented by the CIF card [CIF]
data_K3VO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.195
_cell_length_b   6.195
_cell_length_c   6.195
_cell_angle_alpha   113.314
_cell_angle_beta   113.314
_cell_angle_gamma   102.033
_symmetry_Int_Tables_number   1
_cell_volume   180.761
_cell_formula_units_Z   1
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
  K  K0  1  0.750  0.250  0.500  1.0
  K  K1  1  0.250  0.750  0.500  1.0
  K  K2  1  0.500  0.500  0.000  1.0
  V  V3  1  0.000  0.000  0.000  1.0
  O  O4  1  0.220  0.220  0.410  1.0
  O  O5  1  0.811  0.811  0.590  1.0
  O  O6  1  0.780  0.189  0.000  1.0
  O  O7  1  0.189  0.780  0.000  1.0
  O  O8  1  0.318  0.318  0.270  1.0
  O  O9  1  0.048  0.048  0.730  1.0
  O  O10  1  0.682  0.952  0.000  1.0
  O  O11  1  0.952  0.682  0.000  1.0
[/CIF]
.