The structure described by K4Li3Mn2O8 crystallizes in the monoclinic Pc 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(1), one O(2), one O(7), one O(8), and two equivalent O(4) atoms. In the second K site, K(2) is bonded in a 6-coordinate geometry to one O(3), one O(4), two equivalent O(2), and two equivalent O(6) atoms. In the third K site, K(3) is bonded in a 6-coordinate geometry to one O(3), one O(4), one O(5), one O(6), and two equivalent O(7) atoms. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to one O(7), one O(8), two equivalent O(1), and two equivalent O(5) atoms. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(3), and one O(8) atom. In the second Li site, Li(2) is bonded to one O(3), one O(5), one O(6), and one O(8) atom to form distorted LiO4 tetrahedra that share corners with two equivalent Mn(1)O4 tetrahedra and  an edgeedge with one Mn(2)O4 tetrahedra. In the third Li site, Li(3) is bonded in a 4-coordinate geometry to one O(4), one O(5), one O(6), and one O(8) atom. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(6), one O(7), and one O(8) atom to form MnO4 tetrahedra that share corners with two equivalent Li(2)O4 tetrahedra. In the second Mn site, Mn(2) is bonded to one O(1), one O(3), one O(4), and one O(5) atom to form MnO4 tetrahedra that share  an edgeedge with one Li(2)O4 tetrahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one K(1), two equivalent K(4), one Li(1), and one Mn(2) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to one K(1), two equivalent K(2), one Li(1), and one Mn(1) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one K(2), one K(3), one Li(1), one Li(2), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a distorted bent 120 degrees geometry to one K(2), one K(3), two equivalent K(1), one Li(3), and one Mn(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one K(3), two equivalent K(4), one Li(2), one Li(3), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one K(3), two equivalent K(2), one Li(2), one Li(3), and one Mn(1) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(1), one K(4), two equivalent K(3), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a 6-coordinate geometry to one K(1), one K(4), one Li(1), one Li(2), one Li(3), and one Mn(1) atom. is represented by the CIF file [CIF]
data_K4Li3Mn2O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.451
_cell_length_b   5.649
_cell_length_c   11.458
_cell_angle_alpha   72.608
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   522.021
_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  0.253  0.327  0.845  1.0
  K  K1  1  0.990  0.783  0.380  1.0
  K  K2  1  0.751  0.690  0.664  1.0
  K  K3  1  0.010  0.783  0.880  1.0
  K  K4  1  0.460  0.263  0.114  1.0
  K  K5  1  0.747  0.327  0.345  1.0
  K  K6  1  0.540  0.263  0.614  1.0
  K  K7  1  0.249  0.690  0.164  1.0
  Li  Li8  1  0.720  0.341  0.923  1.0
  Li  Li9  1  0.235  0.623  0.568  1.0
  Li  Li10  1  0.701  0.897  0.201  1.0
  Li  Li11  1  0.299  0.897  0.701  1.0
  Li  Li12  1  0.280  0.341  0.423  1.0
  Li  Li13  1  0.765  0.623  0.068  1.0
  Mn  Mn14  1  0.959  0.131  0.070  1.0
  Mn  Mn15  1  0.464  0.867  0.428  1.0
  Mn  Mn16  1  0.041  0.131  0.570  1.0
  Mn  Mn17  1  0.536  0.867  0.928  1.0
  O  O18  1  0.547  0.198  0.865  1.0
  O  O19  1  0.940  0.227  0.914  1.0
  O  O20  1  0.298  0.692  0.398  1.0
  O  O21  1  0.665  0.820  0.378  1.0
  O  O22  1  0.437  0.767  0.597  1.0
  O  O23  1  0.074  0.812  0.633  1.0
  O  O24  1  0.140  0.214  0.105  1.0
  O  O25  1  0.702  0.692  0.898  1.0
  O  O26  1  0.790  0.254  0.121  1.0
  O  O27  1  0.335  0.820  0.878  1.0
  O  O28  1  0.453  0.198  0.365  1.0
  O  O29  1  0.060  0.227  0.414  1.0
  O  O30  1  0.860  0.214  0.605  1.0
  O  O31  1  0.210  0.254  0.621  1.0
  O  O32  1  0.563  0.767  0.097  1.0
  O  O33  1  0.926  0.812  0.133  1.0
[/CIF]
.
The structure described by K4Li3Mn2O8 crystallizes in the monoclinic Pc 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(1), one O(2), one O(7), one O(8), and two equivalent O(4) atoms. In the second K site, K(2) is bonded in a 6-coordinate geometry to one O(3), one O(4), two equivalent O(2), and two equivalent O(6) atoms. In the third K site, K(3) is bonded in a 6-coordinate geometry to one O(3), one O(4), one O(5), one O(6), and two equivalent O(7) atoms. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to one O(7), one O(8), two equivalent O(1), and two equivalent O(5) atoms. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(3), and one O(8) atom. In the second Li site, Li(2) is bonded to one O(3), one O(5), one O(6), and one O(8) atom to form distorted LiO4 tetrahedra that share corners with two equivalent Mn(1)O4 tetrahedra and  an edgeedge with one Mn(2)O4 tetrahedra. In the third Li site, Li(3) is bonded in a 4-coordinate geometry to one O(4), one O(5), one O(6), and one O(8) atom. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(6), one O(7), and one O(8) atom to form MnO4 tetrahedra that share corners with two equivalent Li(2)O4 tetrahedra. In the second Mn site, Mn(2) is bonded to one O(1), one O(3), one O(4), and one O(5) atom to form MnO4 tetrahedra that share  an edgeedge with one Li(2)O4 tetrahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one K(1), two equivalent K(4), one Li(1), and one Mn(2) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to one K(1), two equivalent K(2), one Li(1), and one Mn(1) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one K(2), one K(3), one Li(1), one Li(2), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a distorted bent 120 degrees geometry to one K(2), one K(3), two equivalent K(1), one Li(3), and one Mn(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one K(3), two equivalent K(4), one Li(2), one Li(3), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one K(3), two equivalent K(2), one Li(2), one Li(3), and one Mn(1) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(1), one K(4), two equivalent K(3), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a 6-coordinate geometry to one K(1), one K(4), one Li(1), one Li(2), one Li(3), and one Mn(1) atom. is represented by the CIF file [CIF]
data_K4Li3Mn2O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.451
_cell_length_b   5.649
_cell_length_c   11.458
_cell_angle_alpha   72.608
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   522.021
_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  0.253  0.327  0.845  1.0
  K  K1  1  0.990  0.783  0.380  1.0
  K  K2  1  0.751  0.690  0.664  1.0
  K  K3  1  0.010  0.783  0.880  1.0
  K  K4  1  0.460  0.263  0.114  1.0
  K  K5  1  0.747  0.327  0.345  1.0
  K  K6  1  0.540  0.263  0.614  1.0
  K  K7  1  0.249  0.690  0.164  1.0
  Li  Li8  1  0.720  0.341  0.923  1.0
  Li  Li9  1  0.235  0.623  0.568  1.0
  Li  Li10  1  0.701  0.897  0.201  1.0
  Li  Li11  1  0.299  0.897  0.701  1.0
  Li  Li12  1  0.280  0.341  0.423  1.0
  Li  Li13  1  0.765  0.623  0.068  1.0
  Mn  Mn14  1  0.959  0.131  0.070  1.0
  Mn  Mn15  1  0.464  0.867  0.428  1.0
  Mn  Mn16  1  0.041  0.131  0.570  1.0
  Mn  Mn17  1  0.536  0.867  0.928  1.0
  O  O18  1  0.547  0.198  0.865  1.0
  O  O19  1  0.940  0.227  0.914  1.0
  O  O20  1  0.298  0.692  0.398  1.0
  O  O21  1  0.665  0.820  0.378  1.0
  O  O22  1  0.437  0.767  0.597  1.0
  O  O23  1  0.074  0.812  0.633  1.0
  O  O24  1  0.140  0.214  0.105  1.0
  O  O25  1  0.702  0.692  0.898  1.0
  O  O26  1  0.790  0.254  0.121  1.0
  O  O27  1  0.335  0.820  0.878  1.0
  O  O28  1  0.453  0.198  0.365  1.0
  O  O29  1  0.060  0.227  0.414  1.0
  O  O30  1  0.860  0.214  0.605  1.0
  O  O31  1  0.210  0.254  0.621  1.0
  O  O32  1  0.563  0.767  0.097  1.0
  O  O33  1  0.926  0.812  0.133  1.0
[/CIF]
.