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(17), one O(18), one O(23), and one O(24) atom to form distorted MgO5 square pyramids that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(14)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, and  a faceface with one Mn(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 15-52°. 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 a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. 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 a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 MnO6 octahedra that share  a cornercorner with one Mn(10)O6 octahedra,  a cornercorner with one Mn(15)O6 octahedra,  a cornercorner with one Mn(16)O6 octahedra,  a cornercorner with one Mn(9)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid,  an edgeedge with one Mn(13)O6 octahedra,  an edgeedge with one Mn(14)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. 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 MnO6 octahedra that share  a cornercorner with one Mn(10)O6 octahedra,  a cornercorner with one Mn(15)O6 octahedra,  a cornercorner with one Mn(16)O6 octahedra,  a cornercorner with one Mn(9)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid,  an edgeedge with one Mn(13)O6 octahedra,  an edgeedge with one Mn(14)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. 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 49-53°. 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 50-52°. 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,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, edges with two equivalent Mn(8)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 50-52°. 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  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 48-52°. 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 MnO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 50-52°. 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 MnO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, and edges with two equivalent Mn(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. 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 a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. 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 a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Mn(14)O6 octahedra, and  a faceface with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 48-53°. 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, corners with two equivalent Mg(1)O5 square pyramids,  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 50-52°. 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 49-53°. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(13), one Mn(7), and one Mn(8) atom to form edge-sharing OMgMn3 trigonal pyramids. In the second O site, O(2) is bonded in a trigonal planar geometry to 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 trigonal planar geometry to one Mn(1), one Mn(11), and one Mn(2) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to 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 3-coordinate 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 planar geometry to one Mn(1), one Mn(13), and one Mn(14) atom. In the thirteenth O site, O(13) is bonded in a trigonal planar geometry to 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 distorted 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 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 rectangular see-saw-like geometry to one Mg(1), one Mn(10), one Mn(8), and one Mn(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Mg(1), 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 rectangular see-saw-like geometry to one Mg(1), one Mn(13), one Mn(14), and one Mn(3) atom. In the twenty-fourth O site, O(24) is bonded to one Mg(1), one Mn(13), one Mn(14), and one Mn(4) atom to form edge-sharing OMgMn3 trigonal pyramids. 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 distorted trigonal pyramidal 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 CIF card [CIF]
data_KMgMn16O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.893
_cell_length_b   9.709
_cell_length_c   10.262
_cell_angle_alpha   88.614
_cell_angle_beta   89.609
_cell_angle_gamma   90.183
_symmetry_Int_Tables_number   1
_cell_volume   586.999
_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  0.013  0.495  0.503  1.0
  Mg  Mg1  1  0.747  0.981  0.857  1.0
  Mn  Mn2  1  0.497  0.171  0.353  1.0
  Mn  Mn3  1  0.996  0.169  0.350  1.0
  Mn  Mn4  1  0.507  0.342  0.840  1.0
  Mn  Mn5  1  0.005  0.342  0.843  1.0
  Mn  Mn6  1  0.000  0.658  0.161  1.0
  Mn  Mn7  1  0.501  0.656  0.163  1.0
  Mn  Mn8  1  0.998  0.829  0.643  1.0
  Mn  Mn9  1  0.497  0.826  0.641  1.0
  Mn  Mn10  1  0.750  0.667  0.850  1.0
  Mn  Mn11  1  0.250  0.677  0.857  1.0
  Mn  Mn12  1  0.749  0.845  0.335  1.0
  Mn  Mn13  1  0.250  0.846  0.335  1.0
  Mn  Mn14  1  0.749  0.164  0.653  1.0
  Mn  Mn15  1  0.248  0.147  0.666  1.0
  Mn  Mn16  1  0.751  0.331  0.147  1.0
  Mn  Mn17  1  0.251  0.330  0.146  1.0
  O  O18  1  0.746  0.958  0.648  1.0
  O  O19  1  0.250  0.952  0.640  1.0
  O  O20  1  0.750  0.686  0.041  1.0
  O  O21  1  0.253  0.686  0.045  1.0
  O  O22  1  0.752  0.318  0.961  1.0
  O  O23  1  0.256  0.317  0.961  1.0
  O  O24  1  0.746  0.042  0.349  1.0
  O  O25  1  0.248  0.042  0.349  1.0
  O  O26  1  0.001  0.459  0.151  1.0
  O  O27  1  0.501  0.459  0.150  1.0
  O  O28  1  0.994  0.186  0.534  1.0
  O  O29  1  0.497  0.184  0.540  1.0
  O  O30  1  0.498  0.815  0.454  1.0
  O  O31  1  0.999  0.814  0.455  1.0
  O  O32  1  0.505  0.540  0.851  1.0
  O  O33  1  0.002  0.547  0.852  1.0
  O  O34  1  0.514  0.814  0.835  1.0
  O  O35  1  0.974  0.819  0.835  1.0
  O  O36  1  0.000  0.852  0.210  1.0
  O  O37  1  0.502  0.851  0.210  1.0
  O  O38  1  0.999  0.199  0.158  1.0
  O  O39  1  0.501  0.199  0.162  1.0
  O  O40  1  0.530  0.138  0.796  1.0
  O  O41  1  0.981  0.133  0.787  1.0
  O  O42  1  0.750  0.303  0.337  1.0
  O  O43  1  0.246  0.303  0.337  1.0
  O  O44  1  0.755  0.351  0.710  1.0
  O  O45  1  0.253  0.341  0.716  1.0
  O  O46  1  0.751  0.695  0.658  1.0
  O  O47  1  0.244  0.698  0.662  1.0
  O  O48  1  0.751  0.651  0.288  1.0
  O  O49  1  0.247  0.651  0.288  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(17), one O(18), one O(23), and one O(24) atom to form distorted MgO5 square pyramids that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(14)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, and  a faceface with one Mn(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 15-52°. 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 a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. 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 a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 MnO6 octahedra that share  a cornercorner with one Mn(10)O6 octahedra,  a cornercorner with one Mn(15)O6 octahedra,  a cornercorner with one Mn(16)O6 octahedra,  a cornercorner with one Mn(9)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid,  an edgeedge with one Mn(13)O6 octahedra,  an edgeedge with one Mn(14)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. 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 MnO6 octahedra that share  a cornercorner with one Mn(10)O6 octahedra,  a cornercorner with one Mn(15)O6 octahedra,  a cornercorner with one Mn(16)O6 octahedra,  a cornercorner with one Mn(9)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid,  an edgeedge with one Mn(13)O6 octahedra,  an edgeedge with one Mn(14)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. 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 49-53°. 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 50-52°. 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,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, edges with two equivalent Mn(8)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 50-52°. 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  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 48-52°. 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 MnO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 50-52°. 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 MnO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, and edges with two equivalent Mn(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. 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 a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. 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 a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Mn(14)O6 octahedra, and  a faceface with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 48-53°. 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, corners with two equivalent Mg(1)O5 square pyramids,  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 50-52°. 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 49-53°. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(13), one Mn(7), and one Mn(8) atom to form edge-sharing OMgMn3 trigonal pyramids. In the second O site, O(2) is bonded in a trigonal planar geometry to 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 trigonal planar geometry to one Mn(1), one Mn(11), and one Mn(2) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to 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 3-coordinate 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 planar geometry to one Mn(1), one Mn(13), and one Mn(14) atom. In the thirteenth O site, O(13) is bonded in a trigonal planar geometry to 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 distorted 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 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 rectangular see-saw-like geometry to one Mg(1), one Mn(10), one Mn(8), and one Mn(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Mg(1), 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 rectangular see-saw-like geometry to one Mg(1), one Mn(13), one Mn(14), and one Mn(3) atom. In the twenty-fourth O site, O(24) is bonded to one Mg(1), one Mn(13), one Mn(14), and one Mn(4) atom to form edge-sharing OMgMn3 trigonal pyramids. 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 distorted trigonal pyramidal 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 CIF card [CIF]
data_KMgMn16O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.893
_cell_length_b   9.709
_cell_length_c   10.262
_cell_angle_alpha   88.614
_cell_angle_beta   89.609
_cell_angle_gamma   90.183
_symmetry_Int_Tables_number   1
_cell_volume   586.999
_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  0.013  0.495  0.503  1.0
  Mg  Mg1  1  0.747  0.981  0.857  1.0
  Mn  Mn2  1  0.497  0.171  0.353  1.0
  Mn  Mn3  1  0.996  0.169  0.350  1.0
  Mn  Mn4  1  0.507  0.342  0.840  1.0
  Mn  Mn5  1  0.005  0.342  0.843  1.0
  Mn  Mn6  1  0.000  0.658  0.161  1.0
  Mn  Mn7  1  0.501  0.656  0.163  1.0
  Mn  Mn8  1  0.998  0.829  0.643  1.0
  Mn  Mn9  1  0.497  0.826  0.641  1.0
  Mn  Mn10  1  0.750  0.667  0.850  1.0
  Mn  Mn11  1  0.250  0.677  0.857  1.0
  Mn  Mn12  1  0.749  0.845  0.335  1.0
  Mn  Mn13  1  0.250  0.846  0.335  1.0
  Mn  Mn14  1  0.749  0.164  0.653  1.0
  Mn  Mn15  1  0.248  0.147  0.666  1.0
  Mn  Mn16  1  0.751  0.331  0.147  1.0
  Mn  Mn17  1  0.251  0.330  0.146  1.0
  O  O18  1  0.746  0.958  0.648  1.0
  O  O19  1  0.250  0.952  0.640  1.0
  O  O20  1  0.750  0.686  0.041  1.0
  O  O21  1  0.253  0.686  0.045  1.0
  O  O22  1  0.752  0.318  0.961  1.0
  O  O23  1  0.256  0.317  0.961  1.0
  O  O24  1  0.746  0.042  0.349  1.0
  O  O25  1  0.248  0.042  0.349  1.0
  O  O26  1  0.001  0.459  0.151  1.0
  O  O27  1  0.501  0.459  0.150  1.0
  O  O28  1  0.994  0.186  0.534  1.0
  O  O29  1  0.497  0.184  0.540  1.0
  O  O30  1  0.498  0.815  0.454  1.0
  O  O31  1  0.999  0.814  0.455  1.0
  O  O32  1  0.505  0.540  0.851  1.0
  O  O33  1  0.002  0.547  0.852  1.0
  O  O34  1  0.514  0.814  0.835  1.0
  O  O35  1  0.974  0.819  0.835  1.0
  O  O36  1  0.000  0.852  0.210  1.0
  O  O37  1  0.502  0.851  0.210  1.0
  O  O38  1  0.999  0.199  0.158  1.0
  O  O39  1  0.501  0.199  0.162  1.0
  O  O40  1  0.530  0.138  0.796  1.0
  O  O41  1  0.981  0.133  0.787  1.0
  O  O42  1  0.750  0.303  0.337  1.0
  O  O43  1  0.246  0.303  0.337  1.0
  O  O44  1  0.755  0.351  0.710  1.0
  O  O45  1  0.253  0.341  0.716  1.0
  O  O46  1  0.751  0.695  0.658  1.0
  O  O47  1  0.244  0.698  0.662  1.0
  O  O48  1  0.751  0.651  0.288  1.0
  O  O49  1  0.247  0.651  0.288  1.0
[/CIF]
.