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.
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. Both K(1)-O(21) bond lengths are 2.91 Å. Both K(1)-O(22) bond lengths are 2.93 Å. Both K(1)-O(23) bond lengths are 2.93 Å. Both K(1)-O(24) bond lengths are 2.91 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 a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. The Mn(1)-O(18) bond length is 1.95 Å. The Mn(1)-O(8) bond length is 1.92 Å. Both Mn(1)-O(21) bond lengths are 1.97 Å. Both Mn(1)-O(4) bond lengths are 1.92 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 a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. The Mn(2)-O(17) bond length is 1.95 Å. The Mn(2)-O(7) bond length is 1.93 Å. Both Mn(2)-O(21) bond lengths are 1.96 Å. Both Mn(2)-O(4) bond lengths are 1.92 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. 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 1.97 Å. Both Mn(3)-O(3) bond lengths are 1.92 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. The Mn(4)-O(12) bond length is 1.93 Å. The Mn(4)-O(20) bond length is 1.95 Å. Both Mn(4)-O(22) bond lengths are 1.96 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 a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. The Mn(5)-O(15) bond length is 1.95 Å. The Mn(5)-O(5) bond length is 1.93 Å. Both Mn(5)-O(2) bond lengths are 1.91 Å. Both Mn(5)-O(24) bond lengths are 1.96 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 a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. The Mn(6)-O(16) bond length is 1.95 Å. The Mn(6)-O(6) bond length is 1.92 Å. Both Mn(6)-O(2) bond lengths are 1.92 Å. Both Mn(6)-O(24) bond lengths are 1.96 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. The Mn(7)-O(10) bond length is 1.93 Å. The Mn(7)-O(14) bond length is 1.95 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. The Mn(8)-O(13) bond length is 1.95 Å. The Mn(8)-O(9) bond length is 1.92 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 corner and edge-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 1.93 Å. The Mn(9)-O(13) bond length is 1.95 Å. The Mn(9)-O(14) bond length is 1.95 Å. The Mn(9)-O(2) bond length is 1.92 Å. The Mn(9)-O(23) bond length is 1.96 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 a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. The Mn(10)-O(10) bond length is 1.93 Å. The Mn(10)-O(15) bond length is 1.95 Å. The Mn(10)-O(16) bond length is 1.95 Å. The Mn(10)-O(24) bond length is 1.97 Å. The Mn(10)-O(4) bond length is 1.92 Å. The Mn(10)-O(9) bond length is 1.92 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. 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 1.95 Å. The Mn(11)-O(22) bond length is 1.97 Å. The Mn(11)-O(7) bond length is 1.93 Å. The Mn(11)-O(8) bond length is 1.92 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 a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. The Mn(12)-O(17) bond length is 1.95 Å. The Mn(12)-O(18) bond length is 1.95 Å. The Mn(12)-O(21) bond length is 1.96 Å. The Mn(12)-O(3) bond length is 1.92 Å. The Mn(12)-O(5) bond length is 1.93 Å. The Mn(12)-O(6) bond length is 1.92 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 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.