The crystal structure described by KMn16O32 is zeta iron carbide-derived structured and crystallizes in the monoclinic Pm space group. K(1) is bonded in a distorted body-centered cubic geometry to two equivalent O(21), two equivalent O(22), two equivalent O(23), and two equivalent O(24) atoms. There are twelve inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(18), one O(8), two equivalent O(21), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the second Mn site, Mn(2) is bonded to one O(17), one O(7), two equivalent O(21), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the third Mn site, Mn(3) is bonded to one O(11), one O(19), two equivalent O(22), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the fourth Mn site, Mn(4) is bonded to one O(12), one O(20), two equivalent O(22), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the fifth Mn site, Mn(5) is bonded to one O(15), one O(5), two equivalent O(2), and two equivalent O(24) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the sixth Mn site, Mn(6) is bonded to one O(16), one O(6), two equivalent O(2), and two equivalent O(24) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the seventh Mn site, Mn(7) is bonded to one O(10), one O(14), two equivalent O(1), and two equivalent O(23) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the eighth Mn site, Mn(8) is bonded to one O(13), one O(9), two equivalent O(1), and two equivalent O(23) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the ninth Mn site, Mn(9) is bonded to one O(11), one O(12), one O(13), one O(14), one O(2), and one O(23) atom to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the tenth Mn site, Mn(10) is bonded to one O(10), one O(15), one O(16), one O(24), one O(4), and one O(9) atom to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the eleventh Mn site, Mn(11) is bonded to one O(1), one O(19), one O(20), one O(22), one O(7), and one O(8) atom to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the twelfth Mn site, Mn(12) is bonded to one O(17), one O(18), one O(21), one O(3), one O(5), and one O(6) atom to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Mn(11), one Mn(7), and one Mn(8) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Mn(5), one Mn(6), and one Mn(9) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mn(12), one Mn(3), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Mn(1), one Mn(10), and one Mn(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mn(5) and two equivalent Mn(12) atoms. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Mn(6) and two equivalent Mn(12) atoms. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Mn(2) and two equivalent Mn(11) atoms. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Mn(1) and two equivalent Mn(11) atoms. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Mn(8) and two equivalent Mn(10) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Mn(7) and two equivalent Mn(10) atoms. In the eleventh O site, O(11) is bonded in a trigonal planar geometry to one Mn(3) and two equivalent Mn(9) atoms. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Mn(4) and two equivalent Mn(9) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Mn(8) and two equivalent Mn(9) atoms. In the fourteenth O site, O(14) is bonded in a distorted trigonal non-coplanar geometry to one Mn(7) and two equivalent Mn(9) atoms. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Mn(5) and two equivalent Mn(10) atoms. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Mn(6) and two equivalent Mn(10) atoms. In the seventeenth O site, O(17) is bonded in a distorted trigonal non-coplanar geometry to one Mn(2) and two equivalent Mn(12) atoms. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1) and two equivalent Mn(12) atoms. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Mn(3) and two equivalent Mn(11) atoms. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Mn(4) and two equivalent Mn(11) atoms. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one K(1), one Mn(1), one Mn(12), and one Mn(2) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one K(1), one Mn(11), one Mn(3), and one Mn(4) atom. In the twenty-third O site, O(23) is bonded in a 3-coordinate geometry to one K(1), one Mn(7), one Mn(8), and one Mn(9) atom. In the twenty-fourth O site, O(24) is bonded in a 4-coordinate geometry to one K(1), one Mn(10), one Mn(5), and one Mn(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMn16O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.884
_cell_length_b   9.894
_cell_length_c   9.944
_cell_angle_alpha   89.840
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   578.833
_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  0.000  0.499  0.495  1.0
  Mn  Mn1  1  0.500  0.167  0.347  1.0
  Mn  Mn2  1  0.000  0.165  0.345  1.0
  Mn  Mn3  1  0.500  0.349  0.829  1.0
  Mn  Mn4  1  1.000  0.347  0.831  1.0
  Mn  Mn5  1  0.000  0.652  0.161  1.0
  Mn  Mn6  1  0.500  0.650  0.163  1.0
  Mn  Mn7  1  0.000  0.834  0.648  1.0
  Mn  Mn8  1  0.500  0.832  0.646  1.0
  Mn  Mn9  1  0.750  0.668  0.846  1.0
  Mn  Mn10  1  0.250  0.668  0.846  1.0
  Mn  Mn11  1  0.750  0.848  0.329  1.0
  Mn  Mn12  1  0.250  0.848  0.329  1.0
  Mn  Mn13  1  0.750  0.151  0.664  1.0
  Mn  Mn14  1  0.250  0.151  0.664  1.0
  Mn  Mn15  1  0.750  0.331  0.147  1.0
  Mn  Mn16  1  0.250  0.331  0.147  1.0
  O  O17  1  0.749  0.957  0.658  1.0
  O  O18  1  0.251  0.957  0.658  1.0
  O  O19  1  0.749  0.665  0.039  1.0
  O  O20  1  0.251  0.665  0.039  1.0
  O  O21  1  0.749  0.334  0.954  1.0
  O  O22  1  0.251  0.334  0.954  1.0
  O  O23  1  0.749  0.042  0.335  1.0
  O  O24  1  0.251  0.042  0.335  1.0
  O  O25  1  0.000  0.457  0.162  1.0
  O  O26  1  0.500  0.456  0.160  1.0
  O  O27  1  0.000  0.168  0.539  1.0
  O  O28  1  0.500  0.167  0.540  1.0
  O  O29  1  0.500  0.832  0.453  1.0
  O  O30  1  0.000  0.831  0.454  1.0
  O  O31  1  0.500  0.543  0.833  1.0
  O  O32  1  1.000  0.543  0.831  1.0
  O  O33  1  0.500  0.797  0.839  1.0
  O  O34  1  0.000  0.798  0.841  1.0
  O  O35  1  0.000  0.845  0.200  1.0
  O  O36  1  0.500  0.844  0.200  1.0
  O  O37  1  1.000  0.201  0.152  1.0
  O  O38  1  0.500  0.202  0.153  1.0
  O  O39  1  0.500  0.155  0.793  1.0
  O  O40  1  1.000  0.154  0.793  1.0
  O  O41  1  0.752  0.298  0.341  1.0
  O  O42  1  0.248  0.298  0.341  1.0
  O  O43  1  0.752  0.346  0.700  1.0
  O  O44  1  0.248  0.346  0.700  1.0
  O  O45  1  0.752  0.701  0.652  1.0
  O  O46  1  0.248  0.701  0.652  1.0
  O  O47  1  0.752  0.653  0.293  1.0
  O  O48  1  0.248  0.653  0.293  1.0
[/CIF]
.
The crystal structure described by KMn16O32 is zeta iron carbide-derived structured and crystallizes in the monoclinic Pm space group. K(1) is bonded in a distorted body-centered cubic geometry to two equivalent O(21), two equivalent O(22), two equivalent O(23), and two equivalent O(24) atoms. There are twelve inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(18), one O(8), two equivalent O(21), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the second Mn site, Mn(2) is bonded to one O(17), one O(7), two equivalent O(21), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the third Mn site, Mn(3) is bonded to one O(11), one O(19), two equivalent O(22), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the fourth Mn site, Mn(4) is bonded to one O(12), one O(20), two equivalent O(22), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the fifth Mn site, Mn(5) is bonded to one O(15), one O(5), two equivalent O(2), and two equivalent O(24) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the sixth Mn site, Mn(6) is bonded to one O(16), one O(6), two equivalent O(2), and two equivalent O(24) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the seventh Mn site, Mn(7) is bonded to one O(10), one O(14), two equivalent O(1), and two equivalent O(23) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the eighth Mn site, Mn(8) is bonded to one O(13), one O(9), two equivalent O(1), and two equivalent O(23) atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the ninth Mn site, Mn(9) is bonded to one O(11), one O(12), one O(13), one O(14), one O(2), and one O(23) atom to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the tenth Mn site, Mn(10) is bonded to one O(10), one O(15), one O(16), one O(24), one O(4), and one O(9) atom to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the eleventh Mn site, Mn(11) is bonded to one O(1), one O(19), one O(20), one O(22), one O(7), and one O(8) atom to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the twelfth Mn site, Mn(12) is bonded to one O(17), one O(18), one O(21), one O(3), one O(5), and one O(6) atom to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Mn(11), one Mn(7), and one Mn(8) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Mn(5), one Mn(6), and one Mn(9) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mn(12), one Mn(3), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Mn(1), one Mn(10), and one Mn(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mn(5) and two equivalent Mn(12) atoms. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Mn(6) and two equivalent Mn(12) atoms. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Mn(2) and two equivalent Mn(11) atoms. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Mn(1) and two equivalent Mn(11) atoms. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Mn(8) and two equivalent Mn(10) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Mn(7) and two equivalent Mn(10) atoms. In the eleventh O site, O(11) is bonded in a trigonal planar geometry to one Mn(3) and two equivalent Mn(9) atoms. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Mn(4) and two equivalent Mn(9) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Mn(8) and two equivalent Mn(9) atoms. In the fourteenth O site, O(14) is bonded in a distorted trigonal non-coplanar geometry to one Mn(7) and two equivalent Mn(9) atoms. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Mn(5) and two equivalent Mn(10) atoms. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Mn(6) and two equivalent Mn(10) atoms. In the seventeenth O site, O(17) is bonded in a distorted trigonal non-coplanar geometry to one Mn(2) and two equivalent Mn(12) atoms. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1) and two equivalent Mn(12) atoms. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Mn(3) and two equivalent Mn(11) atoms. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Mn(4) and two equivalent Mn(11) atoms. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one K(1), one Mn(1), one Mn(12), and one Mn(2) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one K(1), one Mn(11), one Mn(3), and one Mn(4) atom. In the twenty-third O site, O(23) is bonded in a 3-coordinate geometry to one K(1), one Mn(7), one Mn(8), and one Mn(9) atom. In the twenty-fourth O site, O(24) is bonded in a 4-coordinate geometry to one K(1), one Mn(10), one Mn(5), and one Mn(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMn16O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.884
_cell_length_b   9.894
_cell_length_c   9.944
_cell_angle_alpha   89.840
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   578.833
_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  0.000  0.499  0.495  1.0
  Mn  Mn1  1  0.500  0.167  0.347  1.0
  Mn  Mn2  1  0.000  0.165  0.345  1.0
  Mn  Mn3  1  0.500  0.349  0.829  1.0
  Mn  Mn4  1  1.000  0.347  0.831  1.0
  Mn  Mn5  1  0.000  0.652  0.161  1.0
  Mn  Mn6  1  0.500  0.650  0.163  1.0
  Mn  Mn7  1  0.000  0.834  0.648  1.0
  Mn  Mn8  1  0.500  0.832  0.646  1.0
  Mn  Mn9  1  0.750  0.668  0.846  1.0
  Mn  Mn10  1  0.250  0.668  0.846  1.0
  Mn  Mn11  1  0.750  0.848  0.329  1.0
  Mn  Mn12  1  0.250  0.848  0.329  1.0
  Mn  Mn13  1  0.750  0.151  0.664  1.0
  Mn  Mn14  1  0.250  0.151  0.664  1.0
  Mn  Mn15  1  0.750  0.331  0.147  1.0
  Mn  Mn16  1  0.250  0.331  0.147  1.0
  O  O17  1  0.749  0.957  0.658  1.0
  O  O18  1  0.251  0.957  0.658  1.0
  O  O19  1  0.749  0.665  0.039  1.0
  O  O20  1  0.251  0.665  0.039  1.0
  O  O21  1  0.749  0.334  0.954  1.0
  O  O22  1  0.251  0.334  0.954  1.0
  O  O23  1  0.749  0.042  0.335  1.0
  O  O24  1  0.251  0.042  0.335  1.0
  O  O25  1  0.000  0.457  0.162  1.0
  O  O26  1  0.500  0.456  0.160  1.0
  O  O27  1  0.000  0.168  0.539  1.0
  O  O28  1  0.500  0.167  0.540  1.0
  O  O29  1  0.500  0.832  0.453  1.0
  O  O30  1  0.000  0.831  0.454  1.0
  O  O31  1  0.500  0.543  0.833  1.0
  O  O32  1  1.000  0.543  0.831  1.0
  O  O33  1  0.500  0.797  0.839  1.0
  O  O34  1  0.000  0.798  0.841  1.0
  O  O35  1  0.000  0.845  0.200  1.0
  O  O36  1  0.500  0.844  0.200  1.0
  O  O37  1  1.000  0.201  0.152  1.0
  O  O38  1  0.500  0.202  0.153  1.0
  O  O39  1  0.500  0.155  0.793  1.0
  O  O40  1  1.000  0.154  0.793  1.0
  O  O41  1  0.752  0.298  0.341  1.0
  O  O42  1  0.248  0.298  0.341  1.0
  O  O43  1  0.752  0.346  0.700  1.0
  O  O44  1  0.248  0.346  0.700  1.0
  O  O45  1  0.752  0.701  0.652  1.0
  O  O46  1  0.248  0.701  0.652  1.0
  O  O47  1  0.752  0.653  0.293  1.0
  O  O48  1  0.248  0.653  0.293  1.0
[/CIF]
.