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(5), one O(7), and one O(8) atom. In the second K site, K(2) is bonded to one O(1), one O(2), one O(3), one O(5), and one O(8) atom to form distorted KO5 square pyramids that share corners with four equivalent Mn(1)O5 trigonal bipyramids,  an edgeedge with one K(3)O5 square pyramid, and  an edgeedge with one Mn(2)O5 trigonal bipyramid. In the third K site, K(3) is bonded to one O(1), one O(2), one O(4), one O(6), and one O(7) atom to form distorted KO5 square pyramids that share corners with four equivalent Mn(2)O5 trigonal bipyramids,  an edgeedge with one K(2)O5 square pyramid, and  an edgeedge with one Mn(1)O5 trigonal bipyramid. 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 in a 4-coordinate geometry to one O(1), one O(2), one O(3), and one O(4) atom. 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 trigonal bipyramids that share corners with four equivalent K(2)O5 square pyramids,  an edgeedge with one K(3)O5 square pyramid, and  an edgeedge with one Mn(2)O5 trigonal bipyramid. 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 distorted MnO5 trigonal bipyramids that share corners with four equivalent K(3)O5 square pyramids,  an edgeedge with one K(2)O5 square pyramid, and  an edgeedge with one Mn(1)O5 trigonal bipyramid. In the third Mn site, Mn(3) 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. In the fourth Mn site, Mn(4) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(5), one O(7), and one O(8) atom. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one K(2), 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 to one K(1), one K(2), one Mg(1), one Mn(1), and one Mn(4) atom to form distorted OK2MgMn2 trigonal bipyramids that share corners with two equivalent O(7)K3Mn3 octahedra, corners with four equivalent O(8)K3Mn3 octahedra,  a cornercorner with one O(6)K2Mn3 square pyramid,  a cornercorner with one O(4)K2MgMn2 trigonal bipyramid, and edges with two equivalent O(5)K2Mn3 square pyramids. The corner-sharing octahedral tilt angles range from 4-83°. In the fourth O site, O(4) is bonded to one K(3), one K(4), one Mg(1), one Mn(2), and one Mn(3) atom to form distorted OK2MgMn2 trigonal bipyramids that share corners with two equivalent O(8)K3Mn3 octahedra, corners with four equivalent O(7)K3Mn3 octahedra,  a cornercorner with one O(5)K2Mn3 square pyramid,  a cornercorner with one O(3)K2MgMn2 trigonal bipyramid, and edges with two equivalent O(6)K2Mn3 square pyramids. The corner-sharing octahedral tilt angles range from 3-84°. In the fifth O site, O(5) is bonded to one K(1), one K(2), one Mn(1), one Mn(2), and one Mn(4) atom to form distorted OK2Mn3 square pyramids that share  a cornercorner with one O(7)K3Mn3 octahedra,  a cornercorner with one O(4)K2MgMn2 trigonal bipyramid,  an edgeedge with one O(7)K3Mn3 octahedra, edges with two equivalent O(8)K3Mn3 octahedra,  an edgeedge with one O(6)K2Mn3 square pyramid, and edges with two equivalent O(3)K2MgMn2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 64°. In the sixth O site, O(6) is bonded to one K(3), one K(4), one Mn(1), one Mn(2), and one Mn(3) atom to form distorted OK2Mn3 square pyramids that share  a cornercorner with one O(8)K3Mn3 octahedra,  a cornercorner with one O(3)K2MgMn2 trigonal bipyramid,  an edgeedge with one O(8)K3Mn3 octahedra, edges with two equivalent O(7)K3Mn3 octahedra,  an edgeedge with one O(5)K2Mn3 square pyramid, and edges with two equivalent O(4)K2MgMn2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 64°. In the seventh O site, O(7) is bonded to one K(1), one K(3), one K(4), one Mn(2), one Mn(3), and one Mn(4) atom to form distorted OK3Mn3 octahedra that share  a cornercorner with one O(5)K2Mn3 square pyramid, corners with two equivalent O(3)K2MgMn2 trigonal bipyramids, corners with four equivalent O(4)K2MgMn2 trigonal bipyramids, edges with two equivalent O(8)K3Mn3 octahedra,  an edgeedge with one O(5)K2Mn3 square pyramid, and edges with two equivalent O(6)K2Mn3 square pyramids. In the eighth O site, O(8) is bonded to one K(1), one K(2), one K(4), one Mn(1), one Mn(3), and one Mn(4) atom to form distorted OK3Mn3 octahedra that share  a cornercorner with one O(6)K2Mn3 square pyramid, corners with two equivalent O(4)K2MgMn2 trigonal bipyramids, corners with four equivalent O(3)K2MgMn2 trigonal bipyramids, edges with two equivalent O(7)K3Mn3 octahedra,  an edgeedge with one O(6)K2Mn3 square pyramid, and edges with two equivalent O(5)K2Mn3 square pyramids. is represented by the CIF card [CIF]
data_K4MgMn4O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.571
_cell_length_b   6.572
_cell_length_c   7.771
_cell_angle_alpha   115.003
_cell_angle_beta   114.997
_cell_angle_gamma   90.178
_symmetry_Int_Tables_number   1
_cell_volume   268.820
_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  0.040  0.038  0.079  1.0
  K  K1  1  0.510  0.993  0.988  1.0
  K  K2  1  0.505  0.522  0.513  1.0
  K  K3  1  0.458  0.959  0.420  1.0
  Mg  Mg4  1  0.880  0.630  0.249  1.0
  Mn  Mn5  1  0.969  0.449  0.918  1.0
  Mn  Mn6  1  0.030  0.050  0.581  1.0
  Mn  Mn7  1  0.039  0.552  0.604  1.0
  Mn  Mn8  1  0.447  0.435  0.894  1.0
  O  O9  1  0.193  0.785  0.516  1.0
  O  O10  1  0.769  0.677  0.983  1.0
  O  O11  1  0.782  0.310  0.012  1.0
  O  O12  1  0.796  0.767  0.485  1.0
  O  O13  1  0.198  0.253  0.929  1.0
  O  O14  1  0.822  0.268  0.570  1.0
  O  O15  1  0.227  0.265  0.560  1.0
  O  O16  1  0.205  0.667  0.938  1.0
[/CIF]
.
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(5), one O(7), and one O(8) atom. In the second K site, K(2) is bonded to one O(1), one O(2), one O(3), one O(5), and one O(8) atom to form distorted KO5 square pyramids that share corners with four equivalent Mn(1)O5 trigonal bipyramids,  an edgeedge with one K(3)O5 square pyramid, and  an edgeedge with one Mn(2)O5 trigonal bipyramid. In the third K site, K(3) is bonded to one O(1), one O(2), one O(4), one O(6), and one O(7) atom to form distorted KO5 square pyramids that share corners with four equivalent Mn(2)O5 trigonal bipyramids,  an edgeedge with one K(2)O5 square pyramid, and  an edgeedge with one Mn(1)O5 trigonal bipyramid. 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 in a 4-coordinate geometry to one O(1), one O(2), one O(3), and one O(4) atom. 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 trigonal bipyramids that share corners with four equivalent K(2)O5 square pyramids,  an edgeedge with one K(3)O5 square pyramid, and  an edgeedge with one Mn(2)O5 trigonal bipyramid. 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 distorted MnO5 trigonal bipyramids that share corners with four equivalent K(3)O5 square pyramids,  an edgeedge with one K(2)O5 square pyramid, and  an edgeedge with one Mn(1)O5 trigonal bipyramid. In the third Mn site, Mn(3) 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. In the fourth Mn site, Mn(4) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(5), one O(7), and one O(8) atom. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one K(2), 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 to one K(1), one K(2), one Mg(1), one Mn(1), and one Mn(4) atom to form distorted OK2MgMn2 trigonal bipyramids that share corners with two equivalent O(7)K3Mn3 octahedra, corners with four equivalent O(8)K3Mn3 octahedra,  a cornercorner with one O(6)K2Mn3 square pyramid,  a cornercorner with one O(4)K2MgMn2 trigonal bipyramid, and edges with two equivalent O(5)K2Mn3 square pyramids. The corner-sharing octahedral tilt angles range from 4-83°. In the fourth O site, O(4) is bonded to one K(3), one K(4), one Mg(1), one Mn(2), and one Mn(3) atom to form distorted OK2MgMn2 trigonal bipyramids that share corners with two equivalent O(8)K3Mn3 octahedra, corners with four equivalent O(7)K3Mn3 octahedra,  a cornercorner with one O(5)K2Mn3 square pyramid,  a cornercorner with one O(3)K2MgMn2 trigonal bipyramid, and edges with two equivalent O(6)K2Mn3 square pyramids. The corner-sharing octahedral tilt angles range from 3-84°. In the fifth O site, O(5) is bonded to one K(1), one K(2), one Mn(1), one Mn(2), and one Mn(4) atom to form distorted OK2Mn3 square pyramids that share  a cornercorner with one O(7)K3Mn3 octahedra,  a cornercorner with one O(4)K2MgMn2 trigonal bipyramid,  an edgeedge with one O(7)K3Mn3 octahedra, edges with two equivalent O(8)K3Mn3 octahedra,  an edgeedge with one O(6)K2Mn3 square pyramid, and edges with two equivalent O(3)K2MgMn2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 64°. In the sixth O site, O(6) is bonded to one K(3), one K(4), one Mn(1), one Mn(2), and one Mn(3) atom to form distorted OK2Mn3 square pyramids that share  a cornercorner with one O(8)K3Mn3 octahedra,  a cornercorner with one O(3)K2MgMn2 trigonal bipyramid,  an edgeedge with one O(8)K3Mn3 octahedra, edges with two equivalent O(7)K3Mn3 octahedra,  an edgeedge with one O(5)K2Mn3 square pyramid, and edges with two equivalent O(4)K2MgMn2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 64°. In the seventh O site, O(7) is bonded to one K(1), one K(3), one K(4), one Mn(2), one Mn(3), and one Mn(4) atom to form distorted OK3Mn3 octahedra that share  a cornercorner with one O(5)K2Mn3 square pyramid, corners with two equivalent O(3)K2MgMn2 trigonal bipyramids, corners with four equivalent O(4)K2MgMn2 trigonal bipyramids, edges with two equivalent O(8)K3Mn3 octahedra,  an edgeedge with one O(5)K2Mn3 square pyramid, and edges with two equivalent O(6)K2Mn3 square pyramids. In the eighth O site, O(8) is bonded to one K(1), one K(2), one K(4), one Mn(1), one Mn(3), and one Mn(4) atom to form distorted OK3Mn3 octahedra that share  a cornercorner with one O(6)K2Mn3 square pyramid, corners with two equivalent O(4)K2MgMn2 trigonal bipyramids, corners with four equivalent O(3)K2MgMn2 trigonal bipyramids, edges with two equivalent O(7)K3Mn3 octahedra,  an edgeedge with one O(6)K2Mn3 square pyramid, and edges with two equivalent O(5)K2Mn3 square pyramids. is represented by the CIF card [CIF]
data_K4MgMn4O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.571
_cell_length_b   6.572
_cell_length_c   7.771
_cell_angle_alpha   115.003
_cell_angle_beta   114.997
_cell_angle_gamma   90.178
_symmetry_Int_Tables_number   1
_cell_volume   268.820
_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  0.040  0.038  0.079  1.0
  K  K1  1  0.510  0.993  0.988  1.0
  K  K2  1  0.505  0.522  0.513  1.0
  K  K3  1  0.458  0.959  0.420  1.0
  Mg  Mg4  1  0.880  0.630  0.249  1.0
  Mn  Mn5  1  0.969  0.449  0.918  1.0
  Mn  Mn6  1  0.030  0.050  0.581  1.0
  Mn  Mn7  1  0.039  0.552  0.604  1.0
  Mn  Mn8  1  0.447  0.435  0.894  1.0
  O  O9  1  0.193  0.785  0.516  1.0
  O  O10  1  0.769  0.677  0.983  1.0
  O  O11  1  0.782  0.310  0.012  1.0
  O  O12  1  0.796  0.767  0.485  1.0
  O  O13  1  0.198  0.253  0.929  1.0
  O  O14  1  0.822  0.268  0.570  1.0
  O  O15  1  0.227  0.265  0.560  1.0
  O  O16  1  0.205  0.667  0.938  1.0
[/CIF]
.