The structure described by K3CrO8 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 Cr(1)O8 hexagonal bipyramids, corners with four equivalent O(2)K3CrO trigonal bipyramids, and edges with two equivalent Cr(1)O8 hexagonal bipyramids. Cr(1) is bonded to four equivalent O(1) and four equivalent O(2) atoms to form distorted CrO8 hexagonal bipyramids that share corners with four equivalent K(2)O8 hexagonal bipyramids, corners with four equivalent O(2)K3CrO 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 Cr(1), and one O(2) atom. In the second O site, O(2) is bonded to one K(2), two equivalent K(1), one Cr(1), and one O(1) atom to form distorted OK3CrO trigonal bipyramids that share  a cornercorner with one K(2)O8 hexagonal bipyramid,  a cornercorner with one Cr(1)O8 hexagonal bipyramid, corners with ten equivalent O(2)K3CrO trigonal bipyramids, and  an edgeedge with one O(2)K3CrO trigonal bipyramid. is represented by the CIF card [CIF]
data_K3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.210
_cell_length_b   6.210
_cell_length_c   6.210
_cell_angle_alpha   113.391
_cell_angle_beta   113.391
_cell_angle_gamma   101.888
_symmetry_Int_Tables_number   1
_cell_volume   181.957
_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
  Cr  Cr3  1  0.000  0.000  0.000  1.0
  O  O4  1  0.223  0.810  0.000  1.0
  O  O5  1  0.190  0.190  0.413  1.0
  O  O6  1  0.777  0.777  0.587  1.0
  O  O7  1  0.810  0.223  0.000  1.0
  O  O8  1  0.045  0.313  0.000  1.0
  O  O9  1  0.687  0.687  0.732  1.0
  O  O10  1  0.955  0.955  0.268  1.0
  O  O11  1  0.313  0.045  0.000  1.0
[/CIF]
.
The structure described by K3CrO8 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 Cr(1)O8 hexagonal bipyramids, corners with four equivalent O(2)K3CrO trigonal bipyramids, and edges with two equivalent Cr(1)O8 hexagonal bipyramids. Cr(1) is bonded to four equivalent O(1) and four equivalent O(2) atoms to form distorted CrO8 hexagonal bipyramids that share corners with four equivalent K(2)O8 hexagonal bipyramids, corners with four equivalent O(2)K3CrO 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 Cr(1), and one O(2) atom. In the second O site, O(2) is bonded to one K(2), two equivalent K(1), one Cr(1), and one O(1) atom to form distorted OK3CrO trigonal bipyramids that share  a cornercorner with one K(2)O8 hexagonal bipyramid,  a cornercorner with one Cr(1)O8 hexagonal bipyramid, corners with ten equivalent O(2)K3CrO trigonal bipyramids, and  an edgeedge with one O(2)K3CrO trigonal bipyramid. is represented by the CIF card [CIF]
data_K3CrO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.210
_cell_length_b   6.210
_cell_length_c   6.210
_cell_angle_alpha   113.391
_cell_angle_beta   113.391
_cell_angle_gamma   101.888
_symmetry_Int_Tables_number   1
_cell_volume   181.957
_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
  Cr  Cr3  1  0.000  0.000  0.000  1.0
  O  O4  1  0.223  0.810  0.000  1.0
  O  O5  1  0.190  0.190  0.413  1.0
  O  O6  1  0.777  0.777  0.587  1.0
  O  O7  1  0.810  0.223  0.000  1.0
  O  O8  1  0.045  0.313  0.000  1.0
  O  O9  1  0.687  0.687  0.732  1.0
  O  O10  1  0.955  0.955  0.268  1.0
  O  O11  1  0.313  0.045  0.000  1.0
[/CIF]
.