The crystal structure described by K10Co4O9 crystallizes in the triclinic P1 space group. There are ten inequivalent K sites. In the first K site, K(1) is bonded in a 3-coordinate geometry to one O(1), one O(3), and one O(5) atom. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(4), one O(7), and one O(8) atom. In the third K site, K(3) is bonded to one O(1), one O(4), one O(5), and one O(9) atom to form distorted corner-sharing KO4 trigonal pyramids. In the fourth K site, K(4) is bonded in a 4-coordinate geometry to one O(2), one O(3), one O(5), and one O(6) atom. In the fifth K site, K(5) is bonded in a 3-coordinate geometry to one O(1), one O(5), one O(6), and one O(8) atom. In the sixth K site, K(6) is bonded in a 4-coordinate geometry to one O(2), one O(3), one O(8), and one O(9) atom. In the seventh K site, K(7) is bonded to one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form distorted corner-sharing KO5 trigonal bipyramids. In the eighth K site, K(8) is bonded in a 5-coordinate geometry to one O(1), one O(4), one O(5), one O(7), and one O(9) atom. In the ninth K site, K(9) is bonded in a 4-coordinate geometry to one O(2), one O(5), one O(6), and one O(9) atom. In the tenth K site, K(10) is bonded in a 4-coordinate geometry to one O(4), one O(6), one O(7), and one O(9) atom. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a distorted trigonal planar geometry to one O(1), one O(2), and one O(6) atom. In the second Co site, Co(2) is bonded in a distorted trigonal planar geometry to one O(5), one O(7), and one O(8) atom. In the third Co site, Co(3) is bonded in a distorted trigonal planar geometry to one O(2), one O(4), and one O(7) atom. In the fourth Co site, Co(4) is bonded in a distorted trigonal planar geometry to one O(3), one O(8), and one O(9) atom. There are nine inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(3), one K(5), one K(8), and one Co(1) atom. In the second O site, O(2) is bonded in a 5-coordinate geometry to one K(4), one K(6), one K(9), one Co(1), and one Co(3) atom. In the third O site, O(3) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(4), one K(6), one K(7), and one Co(4) atom. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one K(10), one K(2), one K(3), one K(7), one K(8), and one Co(3) atom. In the fifth O site, O(5) is bonded in a 7-coordinate geometry to one K(1), one K(3), one K(4), one K(5), one K(8), one K(9), and one Co(2) atom. In the sixth O site, O(6) is bonded to one K(10), one K(4), one K(5), one K(7), one K(9), and one Co(1) atom to form distorted corner-sharing OK5Co octahedra. The corner-sharing octahedral tilt angles are 55°. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(10), one K(2), one K(7), one K(8), one Co(2), and one Co(3) atom. In the eighth O site, O(8) is bonded in a 2-coordinate geometry to one K(2), one K(5), one K(6), one K(7), one Co(2), and one Co(4) atom. In the ninth O site, O(9) is bonded to one K(10), one K(3), one K(6), one K(8), one K(9), and one Co(4) atom to form distorted corner-sharing OK5Co octahedra. The corner-sharing octahedral tilt angles are 55°. is represented by the CIF file [CIF]
data_K10Co4O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.672
_cell_length_b   8.973
_cell_length_c   9.145
_cell_angle_alpha   119.568
_cell_angle_beta   110.466
_cell_angle_gamma   90.197
_symmetry_Int_Tables_number   1
_cell_volume   435.619
_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  0.078  0.220  0.940  1.0
  K  K1  1  0.052  0.601  0.334  1.0
  K  K2  1  0.257  0.047  0.511  1.0
  K  K3  1  0.443  0.483  0.667  1.0
  K  K4  1  0.559  0.940  0.804  1.0
  K  K5  1  0.451  0.068  0.162  1.0
  K  K6  1  0.562  0.516  0.332  1.0
  K  K7  1  0.738  0.936  0.469  1.0
  K  K8  1  0.926  0.397  0.667  1.0
  K  K9  1  0.905  0.782  0.065  1.0
  Co  Co10  1  0.031  0.781  0.740  1.0
  Co  Co11  1  0.651  0.353  0.953  1.0
  Co  Co12  1  0.372  0.675  0.069  1.0
  Co  Co13  1  0.978  0.221  0.267  1.0
  O  O14  1  0.127  0.916  0.677  1.0
  O  O15  1  0.268  0.707  0.875  1.0
  O  O16  1  0.235  0.314  0.296  1.0
  O  O17  1  0.313  0.750  0.266  1.0
  O  O18  1  0.663  0.226  0.733  1.0
  O  O19  1  0.771  0.682  0.703  1.0
  O  O20  1  0.636  0.586  0.094  1.0
  O  O21  1  0.736  0.269  0.109  1.0
  O  O22  1  0.873  0.104  0.343  1.0
[/CIF]
.
The crystal structure described by K10Co4O9 crystallizes in the triclinic P1 space group. There are ten inequivalent K sites. In the first K site, K(1) is bonded in a 3-coordinate geometry to one O(1), one O(3), and one O(5) atom. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(4), one O(7), and one O(8) atom. In the third K site, K(3) is bonded to one O(1), one O(4), one O(5), and one O(9) atom to form distorted corner-sharing KO4 trigonal pyramids. In the fourth K site, K(4) is bonded in a 4-coordinate geometry to one O(2), one O(3), one O(5), and one O(6) atom. In the fifth K site, K(5) is bonded in a 3-coordinate geometry to one O(1), one O(5), one O(6), and one O(8) atom. In the sixth K site, K(6) is bonded in a 4-coordinate geometry to one O(2), one O(3), one O(8), and one O(9) atom. In the seventh K site, K(7) is bonded to one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form distorted corner-sharing KO5 trigonal bipyramids. In the eighth K site, K(8) is bonded in a 5-coordinate geometry to one O(1), one O(4), one O(5), one O(7), and one O(9) atom. In the ninth K site, K(9) is bonded in a 4-coordinate geometry to one O(2), one O(5), one O(6), and one O(9) atom. In the tenth K site, K(10) is bonded in a 4-coordinate geometry to one O(4), one O(6), one O(7), and one O(9) atom. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a distorted trigonal planar geometry to one O(1), one O(2), and one O(6) atom. In the second Co site, Co(2) is bonded in a distorted trigonal planar geometry to one O(5), one O(7), and one O(8) atom. In the third Co site, Co(3) is bonded in a distorted trigonal planar geometry to one O(2), one O(4), and one O(7) atom. In the fourth Co site, Co(4) is bonded in a distorted trigonal planar geometry to one O(3), one O(8), and one O(9) atom. There are nine inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(3), one K(5), one K(8), and one Co(1) atom. In the second O site, O(2) is bonded in a 5-coordinate geometry to one K(4), one K(6), one K(9), one Co(1), and one Co(3) atom. In the third O site, O(3) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(4), one K(6), one K(7), and one Co(4) atom. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one K(10), one K(2), one K(3), one K(7), one K(8), and one Co(3) atom. In the fifth O site, O(5) is bonded in a 7-coordinate geometry to one K(1), one K(3), one K(4), one K(5), one K(8), one K(9), and one Co(2) atom. In the sixth O site, O(6) is bonded to one K(10), one K(4), one K(5), one K(7), one K(9), and one Co(1) atom to form distorted corner-sharing OK5Co octahedra. The corner-sharing octahedral tilt angles are 55°. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(10), one K(2), one K(7), one K(8), one Co(2), and one Co(3) atom. In the eighth O site, O(8) is bonded in a 2-coordinate geometry to one K(2), one K(5), one K(6), one K(7), one Co(2), and one Co(4) atom. In the ninth O site, O(9) is bonded to one K(10), one K(3), one K(6), one K(8), one K(9), and one Co(4) atom to form distorted corner-sharing OK5Co octahedra. The corner-sharing octahedral tilt angles are 55°. is represented by the CIF file [CIF]
data_K10Co4O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.672
_cell_length_b   8.973
_cell_length_c   9.145
_cell_angle_alpha   119.568
_cell_angle_beta   110.466
_cell_angle_gamma   90.197
_symmetry_Int_Tables_number   1
_cell_volume   435.619
_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  0.078  0.220  0.940  1.0
  K  K1  1  0.052  0.601  0.334  1.0
  K  K2  1  0.257  0.047  0.511  1.0
  K  K3  1  0.443  0.483  0.667  1.0
  K  K4  1  0.559  0.940  0.804  1.0
  K  K5  1  0.451  0.068  0.162  1.0
  K  K6  1  0.562  0.516  0.332  1.0
  K  K7  1  0.738  0.936  0.469  1.0
  K  K8  1  0.926  0.397  0.667  1.0
  K  K9  1  0.905  0.782  0.065  1.0
  Co  Co10  1  0.031  0.781  0.740  1.0
  Co  Co11  1  0.651  0.353  0.953  1.0
  Co  Co12  1  0.372  0.675  0.069  1.0
  Co  Co13  1  0.978  0.221  0.267  1.0
  O  O14  1  0.127  0.916  0.677  1.0
  O  O15  1  0.268  0.707  0.875  1.0
  O  O16  1  0.235  0.314  0.296  1.0
  O  O17  1  0.313  0.750  0.266  1.0
  O  O18  1  0.663  0.226  0.733  1.0
  O  O19  1  0.771  0.682  0.703  1.0
  O  O20  1  0.636  0.586  0.094  1.0
  O  O21  1  0.736  0.269  0.109  1.0
  O  O22  1  0.873  0.104  0.343  1.0
[/CIF]
.