KMgMn16O32 crystallizes in the monoclinic Pm space group. K(1) is bonded in a 10-coordinate geometry to one O(10), one O(7), two equivalent O(21), two equivalent O(22), two equivalent O(23), and two equivalent O(24) atoms. Mg(1) is bonded to one O(6), two equivalent O(21), and two equivalent O(24) atoms to form MgO5 square pyramids that share corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Mn(12)O6 octahedra, and  a faceface with one Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-47°. 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 MnO6 octahedra that share corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(11)O6 octahedra, edges with two equivalent Mn(12)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 50-52°. 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 MnO6 octahedra that share corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(11)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. 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 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(12), one O(20), two equivalent O(22), and two equivalent O(3) atoms to form a mixture of edge and corner-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 MnO6 octahedra that share corners with two equivalent Mn(12)O6 octahedra, corners with two equivalent Mn(9)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, edges with two equivalent Mn(10)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. 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 MnO6 octahedra that share corners with two equivalent Mn(12)O6 octahedra, corners with two equivalent Mn(9)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and  a faceface with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-51°. 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 edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 edge and corner-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 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,  a cornercorner with one Mg(1)O5 square pyramid,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and edges with two equivalent Mn(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. 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 edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 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(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Mn(12)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-51°. 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 distorted 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 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 pyramidal geometry to one Mg(1), 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 K(1), 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 K(1), 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 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 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 distorted rectangular see-saw-like geometry to one K(1), one Mg(1), one Mn(1), one Mn(12), and one Mn(2) atom. In the twenty-second O site, O(22) is bonded to one K(1), one Mn(11), one Mn(3), and one Mn(4) atom to form a mixture of distorted edge and corner-sharing OKMn3 trigonal pyramids. In the twenty-third O site, O(23) is bonded to one K(1), one Mn(7), one Mn(8), and one Mn(9) atom to form a mixture of distorted edge and corner-sharing OKMn3 trigonal pyramids. In the twenty-fourth O site, O(24) is bonded in a distorted rectangular see-saw-like geometry to one K(1), one Mg(1), one Mn(10), one Mn(5), and one Mn(6) atom.
KMgMn16O32 crystallizes in the monoclinic Pm space group. K(1) is bonded in a 10-coordinate geometry to one O(10), one O(7), two equivalent O(21), two equivalent O(22), two equivalent O(23), and two equivalent O(24) atoms. The K(1)-O(10) bond length is 3.05 Å. The K(1)-O(7) bond length is 3.07 Å. Both K(1)-O(21) bond lengths are 3.08 Å. Both K(1)-O(22) bond lengths are 2.76 Å. Both K(1)-O(23) bond lengths are 2.78 Å. Both K(1)-O(24) bond lengths are 3.14 Å. Mg(1) is bonded to one O(6), two equivalent O(21), and two equivalent O(24) atoms to form MgO5 square pyramids that share corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Mn(12)O6 octahedra, and  a faceface with one Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-47°. The Mg(1)-O(6) bond length is 2.05 Å. Both Mg(1)-O(21) bond lengths are 2.07 Å. Both Mg(1)-O(24) bond lengths are 2.11 Å. 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 MnO6 octahedra that share corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(11)O6 octahedra, edges with two equivalent Mn(12)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 50-52°. The Mn(1)-O(18) bond length is 1.97 Å. The Mn(1)-O(8) bond length is 1.96 Å. Both Mn(1)-O(21) bond lengths are 1.99 Å. Both Mn(1)-O(4) bond lengths are 1.90 Å. 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 MnO6 octahedra that share corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(11)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. The Mn(2)-O(17) bond length is 1.95 Å. The Mn(2)-O(7) bond length is 1.92 Å. Both Mn(2)-O(21) bond lengths are 2.11 Å. Both Mn(2)-O(4) bond lengths are 1.99 Å. 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 edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. The Mn(3)-O(11) bond length is 1.92 Å. The Mn(3)-O(19) bond length is 1.95 Å. Both Mn(3)-O(22) bond lengths are 2.00 Å. Both Mn(3)-O(3) bond lengths are 1.97 Å. 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 edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. The Mn(4)-O(12) bond length is 1.94 Å. The Mn(4)-O(20) bond length is 1.95 Å. Both Mn(4)-O(22) bond lengths are 1.97 Å. Both Mn(4)-O(3) bond lengths are 1.92 Å. 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 MnO6 octahedra that share corners with two equivalent Mn(12)O6 octahedra, corners with two equivalent Mn(9)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, edges with two equivalent Mn(10)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. The Mn(5)-O(15) bond length is 1.94 Å. The Mn(5)-O(5) bond length is 1.90 Å. Both Mn(5)-O(2) bond lengths are 2.01 Å. Both Mn(5)-O(24) bond lengths are 2.10 Å. 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 MnO6 octahedra that share corners with two equivalent Mn(12)O6 octahedra, corners with two equivalent Mn(9)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and  a faceface with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-51°. The Mn(6)-O(16) bond length is 1.92 Å. The Mn(6)-O(6) bond length is 2.00 Å. Both Mn(6)-O(2) bond lengths are 1.88 Å. Both Mn(6)-O(24) bond lengths are 2.01 Å. 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 edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. The Mn(7)-O(10) bond length is 1.95 Å. The Mn(7)-O(14) bond length is 1.94 Å. Both Mn(7)-O(1) bond lengths are 1.92 Å. Both Mn(7)-O(23) bond lengths are 1.96 Å. 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 edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. The Mn(8)-O(13) bond length is 1.94 Å. The Mn(8)-O(9) bond length is 1.93 Å. Both Mn(8)-O(1) bond lengths are 1.92 Å. Both Mn(8)-O(23) bond lengths are 1.97 Å. 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 edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. The Mn(9)-O(11) bond length is 1.92 Å. The Mn(9)-O(12) bond length is 1.94 Å. The Mn(9)-O(13) bond length is 1.96 Å. The Mn(9)-O(14) bond length is 1.96 Å. The Mn(9)-O(2) bond length is 1.91 Å. The Mn(9)-O(23) bond length is 1.99 Å. 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 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,  a cornercorner with one Mg(1)O5 square pyramid,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and edges with two equivalent Mn(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. The Mn(10)-O(10) bond length is 1.95 Å. The Mn(10)-O(15) bond length is 1.96 Å. The Mn(10)-O(16) bond length is 1.97 Å. The Mn(10)-O(24) bond length is 2.03 Å. The Mn(10)-O(4) bond length is 1.92 Å. The Mn(10)-O(9) bond length is 1.93 Å. 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 edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. The Mn(11)-O(1) bond length is 1.92 Å. The Mn(11)-O(19) bond length is 1.95 Å. The Mn(11)-O(20) bond length is 1.96 Å. The Mn(11)-O(22) bond length is 1.94 Å. The Mn(11)-O(7) bond length is 1.94 Å. The Mn(11)-O(8) bond length is 1.95 Å. 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 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(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Mn(12)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-51°. The Mn(12)-O(17) bond length is 1.94 Å. The Mn(12)-O(18) bond length is 1.96 Å. The Mn(12)-O(21) bond length is 2.07 Å. The Mn(12)-O(3) bond length is 1.91 Å. The Mn(12)-O(5) bond length is 1.92 Å. The Mn(12)-O(6) bond length is 1.97 Å. 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 distorted 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 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 pyramidal geometry to one Mg(1), 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 K(1), 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 K(1), 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 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 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 distorted rectangular see-saw-like geometry to one K(1), one Mg(1), one Mn(1), one Mn(12), and one Mn(2) atom. In the twenty-second O site, O(22) is bonded to one K(1), one Mn(11), one Mn(3), and one Mn(4) atom to form a mixture of distorted edge and corner-sharing OKMn3 trigonal pyramids. In the twenty-third O site, O(23) is bonded to one K(1), one Mn(7), one Mn(8), and one Mn(9) atom to form a mixture of distorted edge and corner-sharing OKMn3 trigonal pyramids. In the twenty-fourth O site, O(24) is bonded in a distorted rectangular see-saw-like geometry to one K(1), one Mg(1), one Mn(10), one Mn(5), and one Mn(6) atom.