The crystal structure described by K3VO2(SO4)2 crystallizes in the monoclinic P2_1 space group. There are three inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(10), one O(4), one O(5), one O(9), two equivalent O(2), and two equivalent O(7) atoms. In the second K site, K(2) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form KO7 pentagonal bipyramids that share corners with two equivalent S(1)O4 tetrahedra, corners with two equivalent S(2)O4 tetrahedra, and  an edgeedge with one S(1)O4 tetrahedra. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(1), one O(3), one O(6), one O(8), one O(9), and two equivalent O(10) atoms. V(1) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(2), one O(3), one O(4), and one O(6) atom. There are two inequivalent S sites. In the first S site, S(1) is bonded to one O(3), one O(4), one O(5), and one O(9) atom to form SO4 tetrahedra that share corners with two equivalent K(2)O7 pentagonal bipyramids and  an edgeedge with one K(2)O7 pentagonal bipyramid. In the second S site, S(2) is bonded to one O(1), one O(2), one O(7), and one O(8) atom to form SO4 tetrahedra that share corners with two equivalent K(2)O7 pentagonal bipyramids. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted water-like geometry to one K(3), one V(1), and one S(2) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent K(1), one V(1), and one S(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one K(2), one K(3), one V(1), and one S(1) atom. In the fourth O site, O(4) is bonded in a distorted water-like geometry to one K(1), one K(2), one V(1), and one S(1) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(1), one K(2), and one S(1) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(2), one K(3), and one V(1) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(2), two equivalent K(1), and one S(2) atom. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(2), one K(3), and one S(2) atom. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(3), and one S(1) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one K(1), two equivalent K(3), and one V(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3V(SO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.395
_cell_length_b   7.534
_cell_length_c   10.233
_cell_angle_alpha   76.259
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   553.838
_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  0.612  0.582  0.589  1.0
  K  K1  1  0.112  0.418  0.411  1.0
  K  K2  1  0.342  0.987  0.730  1.0
  K  K3  1  0.842  0.013  0.270  1.0
  K  K4  1  0.916  0.710  0.951  1.0
  K  K5  1  0.416  0.290  0.049  1.0
  V  V6  1  0.344  0.754  0.147  1.0
  V  V7  1  0.844  0.246  0.853  1.0
  S  S8  1  0.315  0.951  0.343  1.0
  S  S9  1  0.815  0.049  0.657  1.0
  S  S10  1  0.651  0.537  0.254  1.0
  S  S11  1  0.151  0.463  0.746  1.0
  O  O12  1  0.590  0.672  0.119  1.0
  O  O13  1  0.090  0.328  0.881  1.0
  O  O14  1  0.488  0.522  0.341  1.0
  O  O15  1  0.988  0.478  0.659  1.0
  O  O16  1  0.480  0.948  0.257  1.0
  O  O17  1  0.980  0.052  0.743  1.0
  O  O18  1  0.192  0.813  0.293  1.0
  O  O19  1  0.692  0.187  0.707  1.0
  O  O20  1  0.353  0.882  0.486  1.0
  O  O21  1  0.853  0.118  0.514  1.0
  O  O22  1  0.814  0.081  0.990  1.0
  O  O23  1  0.314  0.919  0.010  1.0
  O  O24  1  0.803  0.623  0.309  1.0
  O  O25  1  0.303  0.377  0.691  1.0
  O  O26  1  0.702  0.366  0.218  1.0
  O  O27  1  0.202  0.634  0.782  1.0
  O  O28  1  0.225  0.129  0.310  1.0
  O  O29  1  0.725  0.871  0.690  1.0
  O  O30  1  0.212  0.581  0.130  1.0
  O  O31  1  0.712  0.419  0.870  1.0
[/CIF]
.
The crystal structure described by K3VO2(SO4)2 crystallizes in the monoclinic P2_1 space group. There are three inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(10), one O(4), one O(5), one O(9), two equivalent O(2), and two equivalent O(7) atoms. In the second K site, K(2) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form KO7 pentagonal bipyramids that share corners with two equivalent S(1)O4 tetrahedra, corners with two equivalent S(2)O4 tetrahedra, and  an edgeedge with one S(1)O4 tetrahedra. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(1), one O(3), one O(6), one O(8), one O(9), and two equivalent O(10) atoms. V(1) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(2), one O(3), one O(4), and one O(6) atom. There are two inequivalent S sites. In the first S site, S(1) is bonded to one O(3), one O(4), one O(5), and one O(9) atom to form SO4 tetrahedra that share corners with two equivalent K(2)O7 pentagonal bipyramids and  an edgeedge with one K(2)O7 pentagonal bipyramid. In the second S site, S(2) is bonded to one O(1), one O(2), one O(7), and one O(8) atom to form SO4 tetrahedra that share corners with two equivalent K(2)O7 pentagonal bipyramids. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted water-like geometry to one K(3), one V(1), and one S(2) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent K(1), one V(1), and one S(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one K(2), one K(3), one V(1), and one S(1) atom. In the fourth O site, O(4) is bonded in a distorted water-like geometry to one K(1), one K(2), one V(1), and one S(1) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(1), one K(2), and one S(1) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(2), one K(3), and one V(1) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(2), two equivalent K(1), and one S(2) atom. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(2), one K(3), and one S(2) atom. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(3), and one S(1) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one K(1), two equivalent K(3), and one V(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3V(SO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.395
_cell_length_b   7.534
_cell_length_c   10.233
_cell_angle_alpha   76.259
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   553.838
_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  0.612  0.582  0.589  1.0
  K  K1  1  0.112  0.418  0.411  1.0
  K  K2  1  0.342  0.987  0.730  1.0
  K  K3  1  0.842  0.013  0.270  1.0
  K  K4  1  0.916  0.710  0.951  1.0
  K  K5  1  0.416  0.290  0.049  1.0
  V  V6  1  0.344  0.754  0.147  1.0
  V  V7  1  0.844  0.246  0.853  1.0
  S  S8  1  0.315  0.951  0.343  1.0
  S  S9  1  0.815  0.049  0.657  1.0
  S  S10  1  0.651  0.537  0.254  1.0
  S  S11  1  0.151  0.463  0.746  1.0
  O  O12  1  0.590  0.672  0.119  1.0
  O  O13  1  0.090  0.328  0.881  1.0
  O  O14  1  0.488  0.522  0.341  1.0
  O  O15  1  0.988  0.478  0.659  1.0
  O  O16  1  0.480  0.948  0.257  1.0
  O  O17  1  0.980  0.052  0.743  1.0
  O  O18  1  0.192  0.813  0.293  1.0
  O  O19  1  0.692  0.187  0.707  1.0
  O  O20  1  0.353  0.882  0.486  1.0
  O  O21  1  0.853  0.118  0.514  1.0
  O  O22  1  0.814  0.081  0.990  1.0
  O  O23  1  0.314  0.919  0.010  1.0
  O  O24  1  0.803  0.623  0.309  1.0
  O  O25  1  0.303  0.377  0.691  1.0
  O  O26  1  0.702  0.366  0.218  1.0
  O  O27  1  0.202  0.634  0.782  1.0
  O  O28  1  0.225  0.129  0.310  1.0
  O  O29  1  0.725  0.871  0.690  1.0
  O  O30  1  0.212  0.581  0.130  1.0
  O  O31  1  0.712  0.419  0.870  1.0
[/CIF]
.