The material structure described by K4MnO4 crystallizes in the triclinic P-1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(1), one O(2), one O(3), and two equivalent O(4) atoms. In the third K site, K(3) is bonded in a distorted rectangular see-saw-like geometry to two equivalent O(3) and two equivalent O(4) atoms. In the fourth K site, K(4) is bonded to one O(3), two equivalent O(1), and two equivalent O(2) atoms to form distorted KO5 trigonal bipyramids that share corners with three equivalent Mn(1)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, and edges with two equivalent K(4)O5 trigonal bipyramids. Mn(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form MnO4 tetrahedra that share corners with three equivalent K(4)O5 trigonal bipyramids and  an edgeedge with one K(4)O5 trigonal bipyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded to one K(2), two equivalent K(1), two equivalent K(4), and one Mn(1) atom to form distorted edge-sharing OK5Mn octahedra. In the second O site, O(2) is bonded in a 6-coordinate geometry to one K(2), two equivalent K(1), two equivalent K(4), and one Mn(1) 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), two equivalent K(3), and one Mn(1) atom. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one K(1), two equivalent K(2), two equivalent K(3), and one Mn(1) atom. is represented by the CIF file [CIF]
data_K4MnO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.239
_cell_length_b   6.419
_cell_length_c   9.381
_cell_angle_alpha   101.588
_cell_angle_beta   108.625
_cell_angle_gamma   67.219
_symmetry_Int_Tables_number   1
_cell_volume   326.933
_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  0.035  0.777  0.624  1.0
  K  K1  1  0.965  0.223  0.376  1.0
  K  K2  1  0.585  0.756  0.844  1.0
  K  K3  1  0.415  0.244  0.156  1.0
  K  K4  1  0.770  0.249  0.966  1.0
  K  K5  1  0.230  0.751  0.034  1.0
  K  K6  1  0.511  0.279  0.562  1.0
  K  K7  1  0.489  0.721  0.438  1.0
  Mn  Mn8  1  0.157  0.266  0.751  1.0
  Mn  Mn9  1  0.843  0.734  0.249  1.0
  O  O10  1  0.299  0.040  0.629  1.0
  O  O11  1  0.701  0.960  0.371  1.0
  O  O12  1  0.131  0.544  0.342  1.0
  O  O13  1  0.869  0.456  0.658  1.0
  O  O14  1  0.327  0.454  0.807  1.0
  O  O15  1  0.673  0.546  0.193  1.0
  O  O16  1  0.172  0.095  0.888  1.0
  O  O17  1  0.828  0.905  0.112  1.0
[/CIF]
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The material structure described by K4MnO4 crystallizes in the triclinic P-1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(1), one O(2), one O(3), and two equivalent O(4) atoms. In the third K site, K(3) is bonded in a distorted rectangular see-saw-like geometry to two equivalent O(3) and two equivalent O(4) atoms. In the fourth K site, K(4) is bonded to one O(3), two equivalent O(1), and two equivalent O(2) atoms to form distorted KO5 trigonal bipyramids that share corners with three equivalent Mn(1)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, and edges with two equivalent K(4)O5 trigonal bipyramids. Mn(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form MnO4 tetrahedra that share corners with three equivalent K(4)O5 trigonal bipyramids and  an edgeedge with one K(4)O5 trigonal bipyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded to one K(2), two equivalent K(1), two equivalent K(4), and one Mn(1) atom to form distorted edge-sharing OK5Mn octahedra. In the second O site, O(2) is bonded in a 6-coordinate geometry to one K(2), two equivalent K(1), two equivalent K(4), and one Mn(1) 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), two equivalent K(3), and one Mn(1) atom. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one K(1), two equivalent K(2), two equivalent K(3), and one Mn(1) atom. is represented by the CIF file [CIF]
data_K4MnO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.239
_cell_length_b   6.419
_cell_length_c   9.381
_cell_angle_alpha   101.588
_cell_angle_beta   108.625
_cell_angle_gamma   67.219
_symmetry_Int_Tables_number   1
_cell_volume   326.933
_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  0.035  0.777  0.624  1.0
  K  K1  1  0.965  0.223  0.376  1.0
  K  K2  1  0.585  0.756  0.844  1.0
  K  K3  1  0.415  0.244  0.156  1.0
  K  K4  1  0.770  0.249  0.966  1.0
  K  K5  1  0.230  0.751  0.034  1.0
  K  K6  1  0.511  0.279  0.562  1.0
  K  K7  1  0.489  0.721  0.438  1.0
  Mn  Mn8  1  0.157  0.266  0.751  1.0
  Mn  Mn9  1  0.843  0.734  0.249  1.0
  O  O10  1  0.299  0.040  0.629  1.0
  O  O11  1  0.701  0.960  0.371  1.0
  O  O12  1  0.131  0.544  0.342  1.0
  O  O13  1  0.869  0.456  0.658  1.0
  O  O14  1  0.327  0.454  0.807  1.0
  O  O15  1  0.673  0.546  0.193  1.0
  O  O16  1  0.172  0.095  0.888  1.0
  O  O17  1  0.828  0.905  0.112  1.0
[/CIF]
.