The material described by K2V3O8 crystallizes in the tetragonal P4bm space group. K(1) is bonded in a 8-coordinate geometry to one O(2), three equivalent O(3), and four equivalent O(4) atoms. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(3), and two equivalent O(4) atoms to form VO4 tetrahedra that share  a cornercorner with one V(1)O4 tetrahedra and corners with two equivalent V(2)O5 trigonal bipyramids. In the second V site, V(2) is bonded to one O(1) and four equivalent O(4) atoms to form distorted corner-sharing VO5 trigonal bipyramids. There are four inequivalent O sites. In the first O site, O(1) is bonded in a single-bond geometry to one V(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to two equivalent K(1) and two equivalent V(1) atoms. In the third O site, O(3) is bonded in a distorted single-bond geometry to three equivalent K(1) and one V(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to two equivalent K(1), one V(1), and one V(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2V3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.879
_cell_length_b   8.879
_cell_length_c   5.253
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   414.065
_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
  K  K0  1  0.168  0.668  0.173  1.0
  K  K1  1  0.668  0.832  0.173  1.0
  K  K2  1  0.332  0.168  0.173  1.0
  K  K3  1  0.832  0.332  0.173  1.0
  V  V4  1  0.366  0.866  0.643  1.0
  V  V5  1  0.134  0.366  0.643  1.0
  V  V6  1  0.634  0.134  0.643  1.0
  V  V7  1  0.866  0.634  0.643  1.0
  V  V8  1  0.000  0.000  0.632  1.0
  V  V9  1  0.500  0.500  0.632  1.0
  O  O10  1  0.500  0.500  0.940  1.0
  O  O11  1  0.000  0.000  0.940  1.0
  O  O12  1  0.000  0.500  0.521  1.0
  O  O13  1  0.500  0.000  0.521  1.0
  O  O14  1  0.869  0.631  0.957  1.0
  O  O15  1  0.631  0.131  0.957  1.0
  O  O16  1  0.369  0.869  0.957  1.0
  O  O17  1  0.131  0.369  0.957  1.0
  O  O18  1  0.691  0.586  0.526  1.0
  O  O19  1  0.309  0.414  0.526  1.0
  O  O20  1  0.086  0.191  0.526  1.0
  O  O21  1  0.191  0.914  0.526  1.0
  O  O22  1  0.809  0.086  0.526  1.0
  O  O23  1  0.914  0.809  0.526  1.0
  O  O24  1  0.586  0.309  0.526  1.0
  O  O25  1  0.414  0.691  0.526  1.0
[/CIF]
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The material described by K2V3O8 crystallizes in the tetragonal P4bm space group. K(1) is bonded in a 8-coordinate geometry to one O(2), three equivalent O(3), and four equivalent O(4) atoms. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(3), and two equivalent O(4) atoms to form VO4 tetrahedra that share  a cornercorner with one V(1)O4 tetrahedra and corners with two equivalent V(2)O5 trigonal bipyramids. In the second V site, V(2) is bonded to one O(1) and four equivalent O(4) atoms to form distorted corner-sharing VO5 trigonal bipyramids. There are four inequivalent O sites. In the first O site, O(1) is bonded in a single-bond geometry to one V(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to two equivalent K(1) and two equivalent V(1) atoms. In the third O site, O(3) is bonded in a distorted single-bond geometry to three equivalent K(1) and one V(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to two equivalent K(1), one V(1), and one V(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2V3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.879
_cell_length_b   8.879
_cell_length_c   5.253
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   414.065
_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
  K  K0  1  0.168  0.668  0.173  1.0
  K  K1  1  0.668  0.832  0.173  1.0
  K  K2  1  0.332  0.168  0.173  1.0
  K  K3  1  0.832  0.332  0.173  1.0
  V  V4  1  0.366  0.866  0.643  1.0
  V  V5  1  0.134  0.366  0.643  1.0
  V  V6  1  0.634  0.134  0.643  1.0
  V  V7  1  0.866  0.634  0.643  1.0
  V  V8  1  0.000  0.000  0.632  1.0
  V  V9  1  0.500  0.500  0.632  1.0
  O  O10  1  0.500  0.500  0.940  1.0
  O  O11  1  0.000  0.000  0.940  1.0
  O  O12  1  0.000  0.500  0.521  1.0
  O  O13  1  0.500  0.000  0.521  1.0
  O  O14  1  0.869  0.631  0.957  1.0
  O  O15  1  0.631  0.131  0.957  1.0
  O  O16  1  0.369  0.869  0.957  1.0
  O  O17  1  0.131  0.369  0.957  1.0
  O  O18  1  0.691  0.586  0.526  1.0
  O  O19  1  0.309  0.414  0.526  1.0
  O  O20  1  0.086  0.191  0.526  1.0
  O  O21  1  0.191  0.914  0.526  1.0
  O  O22  1  0.809  0.086  0.526  1.0
  O  O23  1  0.914  0.809  0.526  1.0
  O  O24  1  0.586  0.309  0.526  1.0
  O  O25  1  0.414  0.691  0.526  1.0
[/CIF]
.