The structure described by KMgMn16O32 crystallizes in the triclinic P1 space group. K(1) is bonded in a 10-coordinate geometry to one O(11), one O(14), one O(25), one O(26), one O(27), one O(28), one O(29), one O(30), one O(31), and one O(32) atom. Mg(1) is bonded to one O(1), one O(12), one O(13), one O(2), one O(7), and one O(8) atom to form MgO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(7)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra,  an edgeedge with one Mn(12)O6 octahedra,  an edgeedge with one Mn(13)O6 octahedra,  an edgeedge with one Mn(14)O6 octahedra,  a faceface with one Mn(1)O6 octahedra, and  a faceface with one Mn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. There are sixteen inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(12), one O(22), one O(25), one O(26), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(12)O6 octahedra,  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra,  an edgeedge with one Mn(15)O6 octahedra,  an edgeedge with one Mn(16)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-49°. In the second Mn site, Mn(2) is bonded to one O(11), one O(21), one O(25), one O(26), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(12)O6 octahedra,  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Mn(15)O6 octahedra,  an edgeedge with one Mn(16)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the third Mn site, Mn(3) is bonded to one O(15), one O(23), one O(27), one O(28), one O(5), and one O(6) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the fourth Mn site, Mn(4) is bonded to one O(16), one O(24), one O(27), one O(28), one O(5), and one O(6) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the fifth Mn site, Mn(5) is bonded to one O(19), one O(3), one O(31), one O(32), one O(4), and one O(9) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the sixth Mn site, Mn(6) is bonded to one O(10), one O(20), one O(3), one O(31), one O(32), and one O(4) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. In the seventh Mn site, Mn(7) is bonded to one O(1), one O(14), one O(18), one O(2), one O(29), and one O(30) atom to form MnO6 octahedra that share  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(12)O6 octahedra,  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-54°. In the eighth Mn site, Mn(8) is bonded to one O(1), one O(13), one O(17), one O(2), one O(29), and one O(30) atom to form MnO6 octahedra that share  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(12)O6 octahedra,  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, edges with two equivalent Mn(7)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-49°. In the ninth Mn site, Mn(9) is bonded to one O(15), one O(16), one O(17), one O(18), one O(29), and one O(3) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the tenth Mn site, Mn(10) is bonded to one O(15), one O(16), one O(17), one O(18), one O(30), and one O(4) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the eleventh Mn site, Mn(11) is bonded to one O(13), one O(14), one O(19), one O(20), one O(31), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and edges with two equivalent Mn(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-53°. In the twelfth Mn site, Mn(12) is bonded to one O(13), one O(14), one O(19), one O(20), one O(32), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and edges with two equivalent Mn(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-53°. In the thirteenth Mn site, Mn(13) is bonded to one O(1), one O(11), one O(12), one O(23), one O(24), and one O(27) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Mn(14)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-54°. In the fourteenth Mn site, Mn(14) is bonded to one O(11), one O(12), one O(2), one O(23), one O(24), and one O(28) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Mn(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-54°. In the fifteenth Mn site, Mn(15) is bonded to one O(10), one O(21), one O(22), one O(25), one O(5), and one O(9) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the sixteenth Mn site, Mn(16) is bonded to one O(10), one O(21), one O(22), one O(26), one O(6), and one O(9) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(13), one Mn(7), and one Mn(8) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(14), one Mn(7), and one Mn(8) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mn(5), one Mn(6), and one Mn(9) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Mn(10), one Mn(5), and one Mn(6) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one Mn(15), one Mn(3), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Mn(16), one Mn(3), and one Mn(4) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Mn(11), and one Mn(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Mn(12), and one Mn(2) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Mn(15), one Mn(16), and one Mn(5) atom. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Mn(15), one Mn(16), and one Mn(6) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one K(1), one Mn(13), one Mn(14), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a trigonal pyramidal geometry to one Mg(1), one Mn(1), one Mn(13), and one Mn(14) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(11), one Mn(12), and one Mn(8) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one K(1), one Mn(11), one Mn(12), and one Mn(7) atom. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to one Mn(10), one Mn(3), and one Mn(9) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Mn(10), one Mn(4), and one Mn(9) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal non-coplanar geometry to one Mn(10), one Mn(8), and one Mn(9) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Mn(10), one Mn(7), and one Mn(9) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Mn(11), one Mn(12), and one Mn(5) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Mn(11), one Mn(12), and one Mn(6) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal non-coplanar geometry to one Mn(15), one Mn(16), and one Mn(2) atom. In the twenty-second O site, O(22) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1), one Mn(15), and one Mn(16) atom. In the twenty-third O site, O(23) is bonded in a distorted trigonal non-coplanar geometry to one Mn(13), one Mn(14), and one Mn(3) atom. In the twenty-fourth O site, O(24) is bonded in a distorted trigonal non-coplanar geometry to one Mn(13), one Mn(14), and one Mn(4) atom. In the twenty-fifth O site, O(25) is bonded in a 3-coordinate geometry to one K(1), one Mn(1), one Mn(15), and one Mn(2) atom. In the twenty-sixth O site, O(26) is bonded in a 3-coordinate geometry to one K(1), one Mn(1), one Mn(16), and one Mn(2) atom. In the twenty-seventh O site, O(27) is bonded in a 3-coordinate geometry to one K(1), one Mn(13), one Mn(3), and one Mn(4) atom. In the twenty-eighth O site, O(28) is bonded in a 3-coordinate geometry to one K(1), one Mn(14), one Mn(3), and one Mn(4) atom. In the twenty-ninth O site, O(29) is bonded in a 3-coordinate geometry to one K(1), one Mn(7), one Mn(8), and one Mn(9) atom. In the thirtieth O site, O(30) is bonded in a 3-coordinate geometry to one K(1), one Mn(10), one Mn(7), and one Mn(8) atom. In the thirty-first O site, O(31) is bonded in a 3-coordinate geometry to one K(1), one Mn(11), one Mn(5), and one Mn(6) atom. In the thirty-second O site, O(32) is bonded in a 3-coordinate geometry to one K(1), one Mn(12), one Mn(5), and one Mn(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMgMn16O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.905
_cell_length_b   9.988
_cell_length_c   10.285
_cell_angle_alpha   89.585
_cell_angle_beta   89.988
_cell_angle_gamma   90.019
_symmetry_Int_Tables_number   1
_cell_volume   606.560
_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  0.998  0.504  0.498  1.0
  Mg  Mg1  1  0.500  0.999  0.495  1.0
  Mn  Mn2  1  0.498  0.194  0.339  1.0
  Mn  Mn3  1  0.998  0.163  0.347  1.0
  Mn  Mn4  1  0.498  0.351  0.834  1.0
  Mn  Mn5  1  0.998  0.349  0.837  1.0
  Mn  Mn6  1  0.998  0.650  0.155  1.0
  Mn  Mn7  1  0.498  0.648  0.159  1.0
  Mn  Mn8  1  0.998  0.841  0.647  1.0
  Mn  Mn9  1  0.498  0.805  0.655  1.0
  Mn  Mn10  1  0.753  0.666  0.852  1.0
  Mn  Mn11  1  0.242  0.666  0.852  1.0
  Mn  Mn12  1  0.754  0.838  0.324  1.0
  Mn  Mn13  1  0.244  0.838  0.324  1.0
  Mn  Mn14  1  0.752  0.162  0.664  1.0
  Mn  Mn15  1  0.245  0.162  0.664  1.0
  Mn  Mn16  1  0.751  0.332  0.141  1.0
  Mn  Mn17  1  0.244  0.332  0.142  1.0
  O  O18  1  0.737  0.966  0.640  1.0
  O  O19  1  0.260  0.966  0.640  1.0
  O  O20  1  0.745  0.666  0.040  1.0
  O  O21  1  0.251  0.666  0.040  1.0
  O  O22  1  0.746  0.326  0.954  1.0
  O  O23  1  0.250  0.326  0.954  1.0
  O  O24  1  0.740  0.037  0.350  1.0
  O  O25  1  0.257  0.037  0.350  1.0
  O  O26  1  0.998  0.456  0.146  1.0
  O  O27  1  0.498  0.454  0.154  1.0
  O  O28  1  0.998  0.185  0.540  1.0
  O  O29  1  0.498  0.189  0.537  1.0
  O  O30  1  0.498  0.811  0.453  1.0
  O  O31  1  0.999  0.820  0.444  1.0
  O  O32  1  0.498  0.542  0.841  1.0
  O  O33  1  0.998  0.540  0.846  1.0
  O  O34  1  0.498  0.791  0.839  1.0
  O  O35  1  0.998  0.791  0.855  1.0
  O  O36  1  0.999  0.841  0.199  1.0
  O  O37  1  0.499  0.837  0.202  1.0
  O  O38  1  0.998  0.200  0.153  1.0
  O  O39  1  0.497  0.207  0.155  1.0
  O  O40  1  0.498  0.161  0.786  1.0
  O  O41  1  0.998  0.157  0.788  1.0
  O  O42  1  0.768  0.304  0.330  1.0
  O  O43  1  0.226  0.304  0.331  1.0
  O  O44  1  0.753  0.354  0.711  1.0
  O  O45  1  0.244  0.355  0.711  1.0
  O  O46  1  0.768  0.697  0.665  1.0
  O  O47  1  0.227  0.697  0.665  1.0
  O  O48  1  0.753  0.646  0.282  1.0
  O  O49  1  0.243  0.646  0.282  1.0
[/CIF]
.
The structure described by KMgMn16O32 crystallizes in the triclinic P1 space group. K(1) is bonded in a 10-coordinate geometry to one O(11), one O(14), one O(25), one O(26), one O(27), one O(28), one O(29), one O(30), one O(31), and one O(32) atom. Mg(1) is bonded to one O(1), one O(12), one O(13), one O(2), one O(7), and one O(8) atom to form MgO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(7)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra,  an edgeedge with one Mn(12)O6 octahedra,  an edgeedge with one Mn(13)O6 octahedra,  an edgeedge with one Mn(14)O6 octahedra,  a faceface with one Mn(1)O6 octahedra, and  a faceface with one Mn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. There are sixteen inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(12), one O(22), one O(25), one O(26), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(12)O6 octahedra,  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra,  an edgeedge with one Mn(15)O6 octahedra,  an edgeedge with one Mn(16)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-49°. In the second Mn site, Mn(2) is bonded to one O(11), one O(21), one O(25), one O(26), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(12)O6 octahedra,  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Mn(15)O6 octahedra,  an edgeedge with one Mn(16)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the third Mn site, Mn(3) is bonded to one O(15), one O(23), one O(27), one O(28), one O(5), and one O(6) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the fourth Mn site, Mn(4) is bonded to one O(16), one O(24), one O(27), one O(28), one O(5), and one O(6) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the fifth Mn site, Mn(5) is bonded to one O(19), one O(3), one O(31), one O(32), one O(4), and one O(9) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the sixth Mn site, Mn(6) is bonded to one O(10), one O(20), one O(3), one O(31), one O(32), and one O(4) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. In the seventh Mn site, Mn(7) is bonded to one O(1), one O(14), one O(18), one O(2), one O(29), and one O(30) atom to form MnO6 octahedra that share  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(12)O6 octahedra,  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-54°. In the eighth Mn site, Mn(8) is bonded to one O(1), one O(13), one O(17), one O(2), one O(29), and one O(30) atom to form MnO6 octahedra that share  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(12)O6 octahedra,  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, edges with two equivalent Mn(7)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-49°. In the ninth Mn site, Mn(9) is bonded to one O(15), one O(16), one O(17), one O(18), one O(29), and one O(3) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the tenth Mn site, Mn(10) is bonded to one O(15), one O(16), one O(17), one O(18), one O(30), and one O(4) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the eleventh Mn site, Mn(11) is bonded to one O(13), one O(14), one O(19), one O(20), one O(31), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and edges with two equivalent Mn(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-53°. In the twelfth Mn site, Mn(12) is bonded to one O(13), one O(14), one O(19), one O(20), one O(32), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and edges with two equivalent Mn(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-53°. In the thirteenth Mn site, Mn(13) is bonded to one O(1), one O(11), one O(12), one O(23), one O(24), and one O(27) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Mn(14)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-54°. In the fourteenth Mn site, Mn(14) is bonded to one O(11), one O(12), one O(2), one O(23), one O(24), and one O(28) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Mn(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-54°. In the fifteenth Mn site, Mn(15) is bonded to one O(10), one O(21), one O(22), one O(25), one O(5), and one O(9) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the sixteenth Mn site, Mn(16) is bonded to one O(10), one O(21), one O(22), one O(26), one O(6), and one O(9) atom to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(13), one Mn(7), and one Mn(8) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(14), one Mn(7), and one Mn(8) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mn(5), one Mn(6), and one Mn(9) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Mn(10), one Mn(5), and one Mn(6) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one Mn(15), one Mn(3), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Mn(16), one Mn(3), and one Mn(4) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Mn(11), and one Mn(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(1), one Mn(12), and one Mn(2) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Mn(15), one Mn(16), and one Mn(5) atom. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Mn(15), one Mn(16), and one Mn(6) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one K(1), one Mn(13), one Mn(14), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a trigonal pyramidal geometry to one Mg(1), one Mn(1), one Mn(13), and one Mn(14) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(11), one Mn(12), and one Mn(8) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one K(1), one Mn(11), one Mn(12), and one Mn(7) atom. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to one Mn(10), one Mn(3), and one Mn(9) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Mn(10), one Mn(4), and one Mn(9) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal non-coplanar geometry to one Mn(10), one Mn(8), and one Mn(9) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Mn(10), one Mn(7), and one Mn(9) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Mn(11), one Mn(12), and one Mn(5) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Mn(11), one Mn(12), and one Mn(6) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal non-coplanar geometry to one Mn(15), one Mn(16), and one Mn(2) atom. In the twenty-second O site, O(22) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1), one Mn(15), and one Mn(16) atom. In the twenty-third O site, O(23) is bonded in a distorted trigonal non-coplanar geometry to one Mn(13), one Mn(14), and one Mn(3) atom. In the twenty-fourth O site, O(24) is bonded in a distorted trigonal non-coplanar geometry to one Mn(13), one Mn(14), and one Mn(4) atom. In the twenty-fifth O site, O(25) is bonded in a 3-coordinate geometry to one K(1), one Mn(1), one Mn(15), and one Mn(2) atom. In the twenty-sixth O site, O(26) is bonded in a 3-coordinate geometry to one K(1), one Mn(1), one Mn(16), and one Mn(2) atom. In the twenty-seventh O site, O(27) is bonded in a 3-coordinate geometry to one K(1), one Mn(13), one Mn(3), and one Mn(4) atom. In the twenty-eighth O site, O(28) is bonded in a 3-coordinate geometry to one K(1), one Mn(14), one Mn(3), and one Mn(4) atom. In the twenty-ninth O site, O(29) is bonded in a 3-coordinate geometry to one K(1), one Mn(7), one Mn(8), and one Mn(9) atom. In the thirtieth O site, O(30) is bonded in a 3-coordinate geometry to one K(1), one Mn(10), one Mn(7), and one Mn(8) atom. In the thirty-first O site, O(31) is bonded in a 3-coordinate geometry to one K(1), one Mn(11), one Mn(5), and one Mn(6) atom. In the thirty-second O site, O(32) is bonded in a 3-coordinate geometry to one K(1), one Mn(12), one Mn(5), and one Mn(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMgMn16O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.905
_cell_length_b   9.988
_cell_length_c   10.285
_cell_angle_alpha   89.585
_cell_angle_beta   89.988
_cell_angle_gamma   90.019
_symmetry_Int_Tables_number   1
_cell_volume   606.560
_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  0.998  0.504  0.498  1.0
  Mg  Mg1  1  0.500  0.999  0.495  1.0
  Mn  Mn2  1  0.498  0.194  0.339  1.0
  Mn  Mn3  1  0.998  0.163  0.347  1.0
  Mn  Mn4  1  0.498  0.351  0.834  1.0
  Mn  Mn5  1  0.998  0.349  0.837  1.0
  Mn  Mn6  1  0.998  0.650  0.155  1.0
  Mn  Mn7  1  0.498  0.648  0.159  1.0
  Mn  Mn8  1  0.998  0.841  0.647  1.0
  Mn  Mn9  1  0.498  0.805  0.655  1.0
  Mn  Mn10  1  0.753  0.666  0.852  1.0
  Mn  Mn11  1  0.242  0.666  0.852  1.0
  Mn  Mn12  1  0.754  0.838  0.324  1.0
  Mn  Mn13  1  0.244  0.838  0.324  1.0
  Mn  Mn14  1  0.752  0.162  0.664  1.0
  Mn  Mn15  1  0.245  0.162  0.664  1.0
  Mn  Mn16  1  0.751  0.332  0.141  1.0
  Mn  Mn17  1  0.244  0.332  0.142  1.0
  O  O18  1  0.737  0.966  0.640  1.0
  O  O19  1  0.260  0.966  0.640  1.0
  O  O20  1  0.745  0.666  0.040  1.0
  O  O21  1  0.251  0.666  0.040  1.0
  O  O22  1  0.746  0.326  0.954  1.0
  O  O23  1  0.250  0.326  0.954  1.0
  O  O24  1  0.740  0.037  0.350  1.0
  O  O25  1  0.257  0.037  0.350  1.0
  O  O26  1  0.998  0.456  0.146  1.0
  O  O27  1  0.498  0.454  0.154  1.0
  O  O28  1  0.998  0.185  0.540  1.0
  O  O29  1  0.498  0.189  0.537  1.0
  O  O30  1  0.498  0.811  0.453  1.0
  O  O31  1  0.999  0.820  0.444  1.0
  O  O32  1  0.498  0.542  0.841  1.0
  O  O33  1  0.998  0.540  0.846  1.0
  O  O34  1  0.498  0.791  0.839  1.0
  O  O35  1  0.998  0.791  0.855  1.0
  O  O36  1  0.999  0.841  0.199  1.0
  O  O37  1  0.499  0.837  0.202  1.0
  O  O38  1  0.998  0.200  0.153  1.0
  O  O39  1  0.497  0.207  0.155  1.0
  O  O40  1  0.498  0.161  0.786  1.0
  O  O41  1  0.998  0.157  0.788  1.0
  O  O42  1  0.768  0.304  0.330  1.0
  O  O43  1  0.226  0.304  0.331  1.0
  O  O44  1  0.753  0.354  0.711  1.0
  O  O45  1  0.244  0.355  0.711  1.0
  O  O46  1  0.768  0.697  0.665  1.0
  O  O47  1  0.227  0.697  0.665  1.0
  O  O48  1  0.753  0.646  0.282  1.0
  O  O49  1  0.243  0.646  0.282  1.0
[/CIF]
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