The material described by K4MgMn4O8 crystallizes in the triclinic P1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(4), one O(5), and one O(8) atom. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(5), one O(6), and one O(8) atom. In the third K site, K(3) is bonded in a 5-coordinate geometry to one O(1), one O(2), one O(4), one O(6), and one O(7) atom. In the fourth K site, K(4) is bonded in a 5-coordinate geometry to one O(1), one O(4), one O(6), one O(7), and one O(8) atom. Mg(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form distorted MgO4 tetrahedra that share corners with two equivalent Mn(1)O5 square pyramids, corners with two equivalent Mn(2)O5 square pyramids, corners with two equivalent Mn(3)O5 square pyramids, and corners with two equivalent Mn(4)O5 square pyramids. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(3), one O(5), one O(6), and one O(8) atom to form distorted MnO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(2)O5 square pyramid,  an edgeedge with one Mn(3)O5 square pyramid, and edges with two equivalent Mn(4)O5 square pyramids. In the second Mn site, Mn(2) is bonded to one O(1), one O(4), one O(5), one O(6), and one O(7) atom to form MnO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(1)O5 square pyramid,  an edgeedge with one Mn(4)O5 square pyramid, and edges with two equivalent Mn(3)O5 square pyramids. In the third Mn site, Mn(3) is bonded to one O(1), one O(4), one O(6), one O(7), and one O(8) atom to form distorted MnO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(1)O5 square pyramid,  an edgeedge with one Mn(4)O5 square pyramid, and edges with two equivalent Mn(2)O5 square pyramids. In the fourth Mn site, Mn(4) is bonded to one O(2), one O(3), one O(5), one O(7), and one O(8) atom to form MnO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(2)O5 square pyramid,  an edgeedge with one Mn(3)O5 square pyramid, and edges with two equivalent Mn(1)O5 square pyramids. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one K(3), one K(4), one Mg(1), one Mn(2), and one Mn(3) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(3), one Mg(1), one Mn(1), and one Mn(4) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Mg(1), one Mn(1), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one K(1), one K(3), one K(4), one Mg(1), one Mn(2), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Mn(1), one Mn(2), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a 6-coordinate geometry to one K(2), one K(3), one K(4), one Mn(1), one Mn(2), and one Mn(3) atom. In the seventh O site, O(7) is bonded in a 5-coordinate geometry to one K(3), one K(4), one Mn(2), one Mn(3), and one Mn(4) atom. In the eighth O site, O(8) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(4), one Mn(1), one Mn(3), and one Mn(4) atom. is represented by the CIF file [CIF]
data_K4MgMn4O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.225
_cell_length_b   6.229
_cell_length_c   8.814
_cell_angle_alpha   115.411
_cell_angle_beta   115.663
_cell_angle_gamma   90.235
_symmetry_Int_Tables_number   1
_cell_volume   270.571
_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  0.079  0.050  0.028  1.0
  K  K1  1  0.656  0.111  0.157  1.0
  K  K2  1  0.447  0.422  0.470  1.0
  K  K3  1  0.386  0.848  0.344  1.0
  Mg  Mg4  1  0.584  0.916  0.750  1.0
  Mn  Mn5  1  0.934  0.447  0.871  1.0
  Mn  Mn6  1  0.030  0.031  0.599  1.0
  Mn  Mn7  1  0.052  0.566  0.628  1.0
  Mn  Mn8  1  0.470  0.468  0.900  1.0
  O  O9  1  0.228  0.779  0.564  1.0
  O  O10  1  0.687  0.700  0.889  1.0
  O  O11  1  0.721  0.271  0.935  1.0
  O  O12  1  0.799  0.814  0.611  1.0
  O  O13  1  0.261  0.273  0.926  1.0
  O  O14  1  0.801  0.241  0.562  1.0
  O  O15  1  0.225  0.238  0.571  1.0
  O  O16  1  0.260  0.697  0.937  1.0
[/CIF]
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The material described by K4MgMn4O8 crystallizes in the triclinic P1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(4), one O(5), and one O(8) atom. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(5), one O(6), and one O(8) atom. In the third K site, K(3) is bonded in a 5-coordinate geometry to one O(1), one O(2), one O(4), one O(6), and one O(7) atom. In the fourth K site, K(4) is bonded in a 5-coordinate geometry to one O(1), one O(4), one O(6), one O(7), and one O(8) atom. Mg(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form distorted MgO4 tetrahedra that share corners with two equivalent Mn(1)O5 square pyramids, corners with two equivalent Mn(2)O5 square pyramids, corners with two equivalent Mn(3)O5 square pyramids, and corners with two equivalent Mn(4)O5 square pyramids. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(3), one O(5), one O(6), and one O(8) atom to form distorted MnO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(2)O5 square pyramid,  an edgeedge with one Mn(3)O5 square pyramid, and edges with two equivalent Mn(4)O5 square pyramids. In the second Mn site, Mn(2) is bonded to one O(1), one O(4), one O(5), one O(6), and one O(7) atom to form MnO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(1)O5 square pyramid,  an edgeedge with one Mn(4)O5 square pyramid, and edges with two equivalent Mn(3)O5 square pyramids. In the third Mn site, Mn(3) is bonded to one O(1), one O(4), one O(6), one O(7), and one O(8) atom to form distorted MnO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(1)O5 square pyramid,  an edgeedge with one Mn(4)O5 square pyramid, and edges with two equivalent Mn(2)O5 square pyramids. In the fourth Mn site, Mn(4) is bonded to one O(2), one O(3), one O(5), one O(7), and one O(8) atom to form MnO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(2)O5 square pyramid,  an edgeedge with one Mn(3)O5 square pyramid, and edges with two equivalent Mn(1)O5 square pyramids. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one K(3), one K(4), one Mg(1), one Mn(2), and one Mn(3) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(3), one Mg(1), one Mn(1), and one Mn(4) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Mg(1), one Mn(1), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one K(1), one K(3), one K(4), one Mg(1), one Mn(2), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one K(1), one K(2), one Mn(1), one Mn(2), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a 6-coordinate geometry to one K(2), one K(3), one K(4), one Mn(1), one Mn(2), and one Mn(3) atom. In the seventh O site, O(7) is bonded in a 5-coordinate geometry to one K(3), one K(4), one Mn(2), one Mn(3), and one Mn(4) atom. In the eighth O site, O(8) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(4), one Mn(1), one Mn(3), and one Mn(4) atom. is represented by the CIF file [CIF]
data_K4MgMn4O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.225
_cell_length_b   6.229
_cell_length_c   8.814
_cell_angle_alpha   115.411
_cell_angle_beta   115.663
_cell_angle_gamma   90.235
_symmetry_Int_Tables_number   1
_cell_volume   270.571
_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  0.079  0.050  0.028  1.0
  K  K1  1  0.656  0.111  0.157  1.0
  K  K2  1  0.447  0.422  0.470  1.0
  K  K3  1  0.386  0.848  0.344  1.0
  Mg  Mg4  1  0.584  0.916  0.750  1.0
  Mn  Mn5  1  0.934  0.447  0.871  1.0
  Mn  Mn6  1  0.030  0.031  0.599  1.0
  Mn  Mn7  1  0.052  0.566  0.628  1.0
  Mn  Mn8  1  0.470  0.468  0.900  1.0
  O  O9  1  0.228  0.779  0.564  1.0
  O  O10  1  0.687  0.700  0.889  1.0
  O  O11  1  0.721  0.271  0.935  1.0
  O  O12  1  0.799  0.814  0.611  1.0
  O  O13  1  0.261  0.273  0.926  1.0
  O  O14  1  0.801  0.241  0.562  1.0
  O  O15  1  0.225  0.238  0.571  1.0
  O  O16  1  0.260  0.697  0.937  1.0
[/CIF]
.