The compound described by K8MgMn4O16 crystallizes in the triclinic P1 space group. There are eight inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(2), one O(4), and one O(8) atom. In the second K site, K(2) is bonded in a 7-coordinate geometry to one O(12), one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(14), one O(15), one O(4), one O(5), and one O(6) atom. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to one O(11), one O(16), one O(3), one O(4), one O(7), and one O(8) atom. In the fifth K site, K(5) is bonded in a 5-coordinate geometry to one O(10), one O(13), one O(14), one O(15), and one O(16) atom. In the sixth K site, K(6) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(13), one O(3), and one O(7) atom. In the seventh K site, K(7) is bonded to one O(10), one O(13), one O(14), one O(15), one O(5), and one O(9) atom to form distorted KO6 octahedra that share  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(3)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra, corners with two equivalent Mn(4)O4 tetrahedra, and corners with two equivalent Mg(1)O5 trigonal bipyramids. In the eighth K site, K(8) is bonded in a 7-coordinate geometry to one O(13), one O(15), one O(16), one O(2), one O(7), one O(8), and one O(9) atom. Mg(1) is bonded to one O(1), one O(10), one O(16), one O(6), and one O(9) atom to form distorted MgO5 trigonal bipyramids that share corners with two equivalent K(7)O6 octahedra,  a cornercorner with one Mn(2)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, and  an edgeedge with one Mn(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 30-59°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), one O(7), and one O(9) atom to form MnO4 tetrahedra that share  a cornercorner with one K(7)O6 octahedra and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 44°. In the second Mn site, Mn(2) is bonded to one O(13), one O(3), one O(5), and one O(6) atom to form MnO4 tetrahedra that share corners with two equivalent K(7)O6 octahedra and  a cornercorner with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 41-60°. In the third Mn site, Mn(3) is bonded to one O(11), one O(12), one O(14), and one O(4) atom to form MnO4 tetrahedra that share  a cornercorner with one K(7)O6 octahedra. The corner-sharing octahedral tilt angles are 64°. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(15), one O(16), and one O(8) atom to form MnO4 tetrahedra that share corners with two equivalent K(7)O6 octahedra and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 14-59°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one K(1), one Mg(1), and one Mn(1) atom. In the second O site, O(2) is bonded in a 1-coordinate geometry to one K(1), one K(2), one K(8), and one Mn(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(2), one K(4), one K(6), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(3), one K(4), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(2), one K(3), one K(7), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a 2-coordinate geometry to one K(3), one Mg(1), and one Mn(2) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(2), one K(4), one K(6), one K(8), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(4), one K(8), and one Mn(4) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one K(7), one K(8), one Mg(1), and one Mn(1) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one K(1), one K(3), one K(5), one K(7), one Mg(1), and one Mn(4) atom. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one K(3), one K(4), one K(6), and one Mn(3) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one K(2), one K(6), and one Mn(3) atom. In the thirteenth O site, O(13) is bonded in a distorted single-bond geometry to one K(5), one K(6), one K(7), one K(8), and one Mn(2) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one K(3), one K(5), one K(7), and one Mn(3) atom. In the fifteenth O site, O(15) is bonded in a distorted single-bond geometry to one K(3), one K(5), one K(7), one K(8), and one Mn(4) atom. In the sixteenth O site, O(16) is bonded in a 5-coordinate geometry to one K(4), one K(5), one K(8), one Mg(1), and one Mn(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K8MgMn4O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.312
_cell_length_b   7.993
_cell_length_c   11.630
_cell_angle_alpha   91.464
_cell_angle_beta   116.441
_cell_angle_gamma   91.712
_symmetry_Int_Tables_number   1
_cell_volume   524.595
_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  0.169  0.690  0.906  1.0
  K  K1  1  0.468  0.487  0.709  1.0
  K  K2  1  0.210  0.781  0.418  1.0
  K  K3  1  0.519  0.002  0.796  1.0
  K  K4  1  0.621  0.959  0.235  1.0
  K  K5  1  0.824  0.208  0.593  1.0
  K  K6  1  0.504  0.499  0.271  1.0
  K  K7  1  0.741  0.360  0.051  1.0
  Mg  Mg8  1  0.118  0.058  0.119  1.0
  Mn  Mn9  1  0.119  0.239  0.924  1.0
  Mn  Mn10  1  0.146  0.245  0.405  1.0
  Mn  Mn11  1  0.856  0.739  0.583  1.0
  Mn  Mn12  1  0.855  0.770  0.072  1.0
  O  O13  1  0.179  0.030  0.956  1.0
  O  O14  1  0.295  0.341  0.870  1.0
  O  O15  1  0.250  0.179  0.555  1.0
  O  O16  1  0.151  0.770  0.661  1.0
  O  O17  1  0.268  0.434  0.414  1.0
  O  O18  1  0.216  0.107  0.315  1.0
  O  O19  1  0.826  0.265  0.830  1.0
  O  O20  1  0.747  0.676  0.924  1.0
  O  O21  1  0.182  0.298  0.084  1.0
  O  O22  1  0.165  0.802  0.147  1.0
  O  O23  1  0.715  0.877  0.630  1.0
  O  O24  1  0.790  0.546  0.609  1.0
  O  O25  1  0.852  0.253  0.341  1.0
  O  O26  1  0.768  0.760  0.426  1.0
  O  O27  1  0.759  0.671  0.168  1.0
  O  O28  1  0.780  0.981  0.061  1.0
[/CIF]
.
The compound described by K8MgMn4O16 crystallizes in the triclinic P1 space group. There are eight inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(2), one O(4), and one O(8) atom. In the second K site, K(2) is bonded in a 7-coordinate geometry to one O(12), one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(14), one O(15), one O(4), one O(5), and one O(6) atom. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to one O(11), one O(16), one O(3), one O(4), one O(7), and one O(8) atom. In the fifth K site, K(5) is bonded in a 5-coordinate geometry to one O(10), one O(13), one O(14), one O(15), and one O(16) atom. In the sixth K site, K(6) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(13), one O(3), and one O(7) atom. In the seventh K site, K(7) is bonded to one O(10), one O(13), one O(14), one O(15), one O(5), and one O(9) atom to form distorted KO6 octahedra that share  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(3)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra, corners with two equivalent Mn(4)O4 tetrahedra, and corners with two equivalent Mg(1)O5 trigonal bipyramids. In the eighth K site, K(8) is bonded in a 7-coordinate geometry to one O(13), one O(15), one O(16), one O(2), one O(7), one O(8), and one O(9) atom. Mg(1) is bonded to one O(1), one O(10), one O(16), one O(6), and one O(9) atom to form distorted MgO5 trigonal bipyramids that share corners with two equivalent K(7)O6 octahedra,  a cornercorner with one Mn(2)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, and  an edgeedge with one Mn(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 30-59°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), one O(7), and one O(9) atom to form MnO4 tetrahedra that share  a cornercorner with one K(7)O6 octahedra and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 44°. In the second Mn site, Mn(2) is bonded to one O(13), one O(3), one O(5), and one O(6) atom to form MnO4 tetrahedra that share corners with two equivalent K(7)O6 octahedra and  a cornercorner with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 41-60°. In the third Mn site, Mn(3) is bonded to one O(11), one O(12), one O(14), and one O(4) atom to form MnO4 tetrahedra that share  a cornercorner with one K(7)O6 octahedra. The corner-sharing octahedral tilt angles are 64°. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(15), one O(16), and one O(8) atom to form MnO4 tetrahedra that share corners with two equivalent K(7)O6 octahedra and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 14-59°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one K(1), one Mg(1), and one Mn(1) atom. In the second O site, O(2) is bonded in a 1-coordinate geometry to one K(1), one K(2), one K(8), and one Mn(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(2), one K(4), one K(6), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(3), one K(4), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(2), one K(3), one K(7), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a 2-coordinate geometry to one K(3), one Mg(1), and one Mn(2) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(2), one K(4), one K(6), one K(8), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(4), one K(8), and one Mn(4) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one K(7), one K(8), one Mg(1), and one Mn(1) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one K(1), one K(3), one K(5), one K(7), one Mg(1), and one Mn(4) atom. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one K(3), one K(4), one K(6), and one Mn(3) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one K(2), one K(6), and one Mn(3) atom. In the thirteenth O site, O(13) is bonded in a distorted single-bond geometry to one K(5), one K(6), one K(7), one K(8), and one Mn(2) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one K(3), one K(5), one K(7), and one Mn(3) atom. In the fifteenth O site, O(15) is bonded in a distorted single-bond geometry to one K(3), one K(5), one K(7), one K(8), and one Mn(4) atom. In the sixteenth O site, O(16) is bonded in a 5-coordinate geometry to one K(4), one K(5), one K(8), one Mg(1), and one Mn(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K8MgMn4O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.312
_cell_length_b   7.993
_cell_length_c   11.630
_cell_angle_alpha   91.464
_cell_angle_beta   116.441
_cell_angle_gamma   91.712
_symmetry_Int_Tables_number   1
_cell_volume   524.595
_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  0.169  0.690  0.906  1.0
  K  K1  1  0.468  0.487  0.709  1.0
  K  K2  1  0.210  0.781  0.418  1.0
  K  K3  1  0.519  0.002  0.796  1.0
  K  K4  1  0.621  0.959  0.235  1.0
  K  K5  1  0.824  0.208  0.593  1.0
  K  K6  1  0.504  0.499  0.271  1.0
  K  K7  1  0.741  0.360  0.051  1.0
  Mg  Mg8  1  0.118  0.058  0.119  1.0
  Mn  Mn9  1  0.119  0.239  0.924  1.0
  Mn  Mn10  1  0.146  0.245  0.405  1.0
  Mn  Mn11  1  0.856  0.739  0.583  1.0
  Mn  Mn12  1  0.855  0.770  0.072  1.0
  O  O13  1  0.179  0.030  0.956  1.0
  O  O14  1  0.295  0.341  0.870  1.0
  O  O15  1  0.250  0.179  0.555  1.0
  O  O16  1  0.151  0.770  0.661  1.0
  O  O17  1  0.268  0.434  0.414  1.0
  O  O18  1  0.216  0.107  0.315  1.0
  O  O19  1  0.826  0.265  0.830  1.0
  O  O20  1  0.747  0.676  0.924  1.0
  O  O21  1  0.182  0.298  0.084  1.0
  O  O22  1  0.165  0.802  0.147  1.0
  O  O23  1  0.715  0.877  0.630  1.0
  O  O24  1  0.790  0.546  0.609  1.0
  O  O25  1  0.852  0.253  0.341  1.0
  O  O26  1  0.768  0.760  0.426  1.0
  O  O27  1  0.759  0.671  0.168  1.0
  O  O28  1  0.780  0.981  0.061  1.0
[/CIF]
.