The material structure described by K4(CoO2)7 crystallizes in the hexagonal P6_3/m space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms. In the second K site, K(2) is bonded in a 6-coordinate geometry to six equivalent O(3) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), two equivalent O(3), and three equivalent O(2) atoms to form edge-sharing CoO6 octahedra. In the second Co site, Co(2) is bonded to six equivalent O(3) atoms to form edge-sharing CoO6 octahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to three equivalent K(1) and three equivalent Co(1) atoms to form distorted OK3Co3 octahedra that share corners with three equivalent O(2)KCo3 trigonal pyramids, edges with six equivalent O(2)KCo3 trigonal pyramids, and  a faceface with one O(1)K3Co3 octahedra. In the second O site, O(2) is bonded to one K(1) and three equivalent Co(1) atoms to form distorted OKCo3 trigonal pyramids that share  a cornercorner with one O(1)K3Co3 octahedra, corners with five equivalent O(2)KCo3 trigonal pyramids, edges with two equivalent O(1)K3Co3 octahedra, and  an edgeedge with one O(2)KCo3 trigonal pyramid. The corner-sharing octahedral tilt angles are 44°. In the third O site, O(3) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Co(2), and two equivalent Co(1) atoms. is represented by the CIF file [CIF]
data_K4(CoO2)7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.845
_cell_length_b   7.845
_cell_length_c   12.699
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   676.902
_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  0.421  0.972  0.750  1.0
  K  K1  1  0.028  0.448  0.750  1.0
  K  K2  1  0.579  0.028  0.250  1.0
  K  K3  1  0.552  0.579  0.750  1.0
  K  K4  1  0.448  0.421  0.250  1.0
  K  K5  1  0.000  0.000  0.750  1.0
  K  K6  1  0.972  0.552  0.250  1.0
  K  K7  1  0.000  0.000  0.250  1.0
  Co  Co8  1  0.283  0.429  0.506  1.0
  Co  Co9  1  0.717  0.571  0.006  1.0
  Co  Co10  1  0.571  0.854  0.506  1.0
  Co  Co11  1  0.146  0.717  0.506  1.0
  Co  Co12  1  0.429  0.146  0.006  1.0
  Co  Co13  1  0.854  0.283  0.494  1.0
  Co  Co14  1  0.146  0.717  0.994  1.0
  Co  Co15  1  0.000  0.000  0.000  1.0
  Co  Co16  1  0.571  0.854  0.994  1.0
  Co  Co17  1  0.717  0.571  0.494  1.0
  Co  Co18  1  0.283  0.429  0.994  1.0
  Co  Co19  1  0.854  0.283  0.006  1.0
  Co  Co20  1  0.000  0.000  0.500  1.0
  Co  Co21  1  0.429  0.146  0.494  1.0
  O  O22  1  0.667  0.333  0.095  1.0
  O  O23  1  0.370  0.901  0.076  1.0
  O  O24  1  0.630  0.099  0.924  1.0
  O  O25  1  0.333  0.667  0.905  1.0
  O  O26  1  0.901  0.531  0.576  1.0
  O  O27  1  0.667  0.333  0.405  1.0
  O  O28  1  0.043  0.220  0.919  1.0
  O  O29  1  0.370  0.901  0.424  1.0
  O  O30  1  0.531  0.630  0.424  1.0
  O  O31  1  0.780  0.823  0.919  1.0
  O  O32  1  0.177  0.957  0.919  1.0
  O  O33  1  0.220  0.177  0.081  1.0
  O  O34  1  0.469  0.370  0.576  1.0
  O  O35  1  0.469  0.370  0.924  1.0
  O  O36  1  0.099  0.469  0.424  1.0
  O  O37  1  0.531  0.630  0.076  1.0
  O  O38  1  0.220  0.177  0.419  1.0
  O  O39  1  0.177  0.957  0.581  1.0
  O  O40  1  0.823  0.043  0.081  1.0
  O  O41  1  0.780  0.823  0.581  1.0
  O  O42  1  0.099  0.469  0.076  1.0
  O  O43  1  0.957  0.780  0.419  1.0
  O  O44  1  0.957  0.780  0.081  1.0
  O  O45  1  0.043  0.220  0.581  1.0
  O  O46  1  0.823  0.043  0.419  1.0
  O  O47  1  0.630  0.099  0.576  1.0
  O  O48  1  0.333  0.667  0.595  1.0
  O  O49  1  0.901  0.531  0.924  1.0
[/CIF]
.
The material structure described by K4(CoO2)7 crystallizes in the hexagonal P6_3/m space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms. In the second K site, K(2) is bonded in a 6-coordinate geometry to six equivalent O(3) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), two equivalent O(3), and three equivalent O(2) atoms to form edge-sharing CoO6 octahedra. In the second Co site, Co(2) is bonded to six equivalent O(3) atoms to form edge-sharing CoO6 octahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to three equivalent K(1) and three equivalent Co(1) atoms to form distorted OK3Co3 octahedra that share corners with three equivalent O(2)KCo3 trigonal pyramids, edges with six equivalent O(2)KCo3 trigonal pyramids, and  a faceface with one O(1)K3Co3 octahedra. In the second O site, O(2) is bonded to one K(1) and three equivalent Co(1) atoms to form distorted OKCo3 trigonal pyramids that share  a cornercorner with one O(1)K3Co3 octahedra, corners with five equivalent O(2)KCo3 trigonal pyramids, edges with two equivalent O(1)K3Co3 octahedra, and  an edgeedge with one O(2)KCo3 trigonal pyramid. The corner-sharing octahedral tilt angles are 44°. In the third O site, O(3) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Co(2), and two equivalent Co(1) atoms. is represented by the CIF file [CIF]
data_K4(CoO2)7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.845
_cell_length_b   7.845
_cell_length_c   12.699
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   676.902
_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  0.421  0.972  0.750  1.0
  K  K1  1  0.028  0.448  0.750  1.0
  K  K2  1  0.579  0.028  0.250  1.0
  K  K3  1  0.552  0.579  0.750  1.0
  K  K4  1  0.448  0.421  0.250  1.0
  K  K5  1  0.000  0.000  0.750  1.0
  K  K6  1  0.972  0.552  0.250  1.0
  K  K7  1  0.000  0.000  0.250  1.0
  Co  Co8  1  0.283  0.429  0.506  1.0
  Co  Co9  1  0.717  0.571  0.006  1.0
  Co  Co10  1  0.571  0.854  0.506  1.0
  Co  Co11  1  0.146  0.717  0.506  1.0
  Co  Co12  1  0.429  0.146  0.006  1.0
  Co  Co13  1  0.854  0.283  0.494  1.0
  Co  Co14  1  0.146  0.717  0.994  1.0
  Co  Co15  1  0.000  0.000  0.000  1.0
  Co  Co16  1  0.571  0.854  0.994  1.0
  Co  Co17  1  0.717  0.571  0.494  1.0
  Co  Co18  1  0.283  0.429  0.994  1.0
  Co  Co19  1  0.854  0.283  0.006  1.0
  Co  Co20  1  0.000  0.000  0.500  1.0
  Co  Co21  1  0.429  0.146  0.494  1.0
  O  O22  1  0.667  0.333  0.095  1.0
  O  O23  1  0.370  0.901  0.076  1.0
  O  O24  1  0.630  0.099  0.924  1.0
  O  O25  1  0.333  0.667  0.905  1.0
  O  O26  1  0.901  0.531  0.576  1.0
  O  O27  1  0.667  0.333  0.405  1.0
  O  O28  1  0.043  0.220  0.919  1.0
  O  O29  1  0.370  0.901  0.424  1.0
  O  O30  1  0.531  0.630  0.424  1.0
  O  O31  1  0.780  0.823  0.919  1.0
  O  O32  1  0.177  0.957  0.919  1.0
  O  O33  1  0.220  0.177  0.081  1.0
  O  O34  1  0.469  0.370  0.576  1.0
  O  O35  1  0.469  0.370  0.924  1.0
  O  O36  1  0.099  0.469  0.424  1.0
  O  O37  1  0.531  0.630  0.076  1.0
  O  O38  1  0.220  0.177  0.419  1.0
  O  O39  1  0.177  0.957  0.581  1.0
  O  O40  1  0.823  0.043  0.081  1.0
  O  O41  1  0.780  0.823  0.581  1.0
  O  O42  1  0.099  0.469  0.076  1.0
  O  O43  1  0.957  0.780  0.419  1.0
  O  O44  1  0.957  0.780  0.081  1.0
  O  O45  1  0.043  0.220  0.581  1.0
  O  O46  1  0.823  0.043  0.419  1.0
  O  O47  1  0.630  0.099  0.576  1.0
  O  O48  1  0.333  0.667  0.595  1.0
  O  O49  1  0.901  0.531  0.924  1.0
[/CIF]
.