KMgMn16O32 crystallizes in the triclinic P1 space group. K(1) is bonded in a 8-coordinate geometry to one Mg(1), one O(11), one O(14), one O(25), one O(26), one O(31), one O(32), and one O(9) atom. Mg(1) is bonded to one K(1), one O(16), one O(27), one O(28), one O(29), and one O(30) atom to form distorted MgKO5 square pyramids that share  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra,  a cornercorner with one O(25)KMn3 trigonal pyramid,  a cornercorner with one O(26)KMn3 trigonal pyramid,  a cornercorner with one O(31)KMn3 trigonal pyramid,  a cornercorner with one O(32)KMn3 trigonal pyramid,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, and  a faceface with one Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-50°. 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 a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. 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, corners with two equivalent Mg(1)KO5 square pyramids,  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 are 50°. 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,  an edgeedge with one Mn(13)O6 octahedra,  an edgeedge with one Mn(14)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Mg(1)KO5 square pyramid. The corner-sharing octahedral tilt angles range from 49-52°. 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 corner and edge-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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. 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)KO5 square pyramid. The corner-sharing octahedral tilt angles range from 52-53°. 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, corners with two equivalent Mg(1)KO5 square pyramids,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, and edges with two equivalent Mn(7)O6 octahedra. 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)KO5 square pyramid. 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 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(9)O6 octahedra, and  an edgeedge with one Mg(1)KO5 square pyramid. 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 a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. 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 a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. 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,  a cornercorner with one Mg(1)KO5 square pyramid,  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 48-52°. 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,  a cornercorner with one Mg(1)KO5 square pyramid,  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 48-52°. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Mn(13), 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(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 distorted 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 distorted 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 3-coordinate geometry to one K(1), one Mn(15), one Mn(16), and one Mn(5) atom. In the tenth O site, O(10) is bonded in a distorted 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 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 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 pyramidal geometry to one Mg(1), 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 distorted trigonal non-coplanar 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 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 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 to one K(1), one Mn(1), one Mn(15), and one Mn(2) atom to form distorted OKMn3 trigonal pyramids that share  a cornercorner with one Mg(1)KO5 square pyramid,  a cornercorner with one O(26)KMn3 trigonal pyramid,  a cornercorner with one O(31)KMn3 trigonal pyramid,  a cornercorner with one O(32)KMn3 trigonal pyramid, and  an edgeedge with one O(26)KMn3 trigonal pyramid. In the twenty-sixth O site, O(26) is bonded to one K(1), one Mn(1), one Mn(16), and one Mn(2) atom to form distorted OKMn3 trigonal pyramids that share  a cornercorner with one Mg(1)KO5 square pyramid,  a cornercorner with one O(25)KMn3 trigonal pyramid,  a cornercorner with one O(31)KMn3 trigonal pyramid,  a cornercorner with one O(32)KMn3 trigonal pyramid, and  an edgeedge with one O(25)KMn3 trigonal pyramid. In the twenty-seventh O site, O(27) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(13), one Mn(3), and one Mn(4) atom. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(14), one Mn(3), and one Mn(4) atom. In the twenty-ninth O site, O(29) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(7), one Mn(8), and one Mn(9) atom. In the thirtieth O site, O(30) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(10), one Mn(7), and one Mn(8) atom. In the thirty-first O site, O(31) is bonded to one K(1), one Mn(11), one Mn(5), and one Mn(6) atom to form distorted OKMn3 trigonal pyramids that share  a cornercorner with one Mg(1)KO5 square pyramid,  a cornercorner with one O(25)KMn3 trigonal pyramid,  a cornercorner with one O(26)KMn3 trigonal pyramid,  a cornercorner with one O(32)KMn3 trigonal pyramid, and  an edgeedge with one O(32)KMn3 trigonal pyramid. In the thirty-second O site, O(32) is bonded to one K(1), one Mn(12), one Mn(5), and one Mn(6) atom to form distorted OKMn3 trigonal pyramids that share  a cornercorner with one Mg(1)KO5 square pyramid,  a cornercorner with one O(25)KMn3 trigonal pyramid,  a cornercorner with one O(26)KMn3 trigonal pyramid,  a cornercorner with one O(31)KMn3 trigonal pyramid, and  an edgeedge with one O(31)KMn3 trigonal pyramid.
KMgMn16O32 crystallizes in the triclinic P1 space group. K(1) is bonded in a 8-coordinate geometry to one Mg(1), one O(11), one O(14), one O(25), one O(26), one O(31), one O(32), and one O(9) atom. The K(1)-Mg(1) bond length is 2.69 Å. The K(1)-O(11) bond length is 3.01 Å. The K(1)-O(14) bond length is 3.15 Å. The K(1)-O(25) bond length is 2.55 Å. The K(1)-O(26) bond length is 2.54 Å. The K(1)-O(31) bond length is 2.58 Å. The K(1)-O(32) bond length is 2.57 Å. The K(1)-O(9) bond length is 2.86 Å. Mg(1) is bonded to one K(1), one O(16), one O(27), one O(28), one O(29), and one O(30) atom to form distorted MgKO5 square pyramids that share  a cornercorner with one Mn(13)O6 octahedra,  a cornercorner with one Mn(14)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra,  a cornercorner with one O(25)KMn3 trigonal pyramid,  a cornercorner with one O(26)KMn3 trigonal pyramid,  a cornercorner with one O(31)KMn3 trigonal pyramid,  a cornercorner with one O(32)KMn3 trigonal pyramid,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, and  a faceface with one Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-50°. The Mg(1)-O(16) bond length is 1.99 Å. The Mg(1)-O(27) bond length is 2.05 Å. The Mg(1)-O(28) bond length is 2.06 Å. The Mg(1)-O(29) bond length is 2.03 Å. The Mg(1)-O(30) bond length is 2.03 Å. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. The Mn(1)-O(12) bond length is 1.95 Å. The Mn(1)-O(22) bond length is 1.98 Å. The Mn(1)-O(25) bond length is 1.94 Å. The Mn(1)-O(26) bond length is 1.94 Å. The Mn(1)-O(7) bond length is 1.93 Å. The Mn(1)-O(8) bond length is 1.93 Å. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. The Mn(2)-O(11) bond length is 1.97 Å. The Mn(2)-O(21) bond length is 1.97 Å. The Mn(2)-O(25) bond length is 1.96 Å. The Mn(2)-O(26) bond length is 1.96 Å. The Mn(2)-O(7) bond length is 1.91 Å. The Mn(2)-O(8) bond length is 1.91 Å. 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, corners with two equivalent Mg(1)KO5 square pyramids,  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 are 50°. The Mn(3)-O(15) bond length is 1.93 Å. The Mn(3)-O(23) bond length is 1.94 Å. The Mn(3)-O(27) bond length is 2.06 Å. The Mn(3)-O(28) bond length is 2.07 Å. The Mn(3)-O(5) bond length is 2.04 Å. The Mn(3)-O(6) bond length is 2.03 Å. 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,  an edgeedge with one Mn(13)O6 octahedra,  an edgeedge with one Mn(14)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Mg(1)KO5 square pyramid. The corner-sharing octahedral tilt angles range from 49-52°. The Mn(4)-O(16) bond length is 2.11 Å. The Mn(4)-O(24) bond length is 1.91 Å. The Mn(4)-O(27) bond length is 1.99 Å. The Mn(4)-O(28) bond length is 1.99 Å. The Mn(4)-O(5) bond length is 1.87 Å. The Mn(4)-O(6) bond length is 1.88 Å. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. The Mn(5)-O(19) bond length is 1.95 Å. The Mn(5)-O(3) bond length is 1.92 Å. The Mn(5)-O(31) bond length is 1.98 Å. The Mn(5)-O(32) bond length is 1.98 Å. The Mn(5)-O(4) bond length is 1.92 Å. The Mn(5)-O(9) bond length is 1.96 Å. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. The Mn(6)-O(10) bond length is 1.94 Å. The Mn(6)-O(20) bond length is 1.96 Å. The Mn(6)-O(3) bond length is 1.93 Å. The Mn(6)-O(31) bond length is 1.96 Å. The Mn(6)-O(32) bond length is 1.96 Å. The Mn(6)-O(4) bond length is 1.93 Å. 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)KO5 square pyramid. The corner-sharing octahedral tilt angles range from 52-53°. The Mn(7)-O(1) bond length is 1.89 Å. The Mn(7)-O(14) bond length is 2.01 Å. The Mn(7)-O(18) bond length is 2.00 Å. The Mn(7)-O(2) bond length is 1.89 Å. The Mn(7)-O(29) bond length is 2.00 Å. The Mn(7)-O(30) bond length is 1.99 Å. 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, corners with two equivalent Mg(1)KO5 square pyramids,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(9)O6 octahedra, and edges with two equivalent Mn(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-52°. The Mn(8)-O(1) bond length is 1.98 Å. The Mn(8)-O(13) bond length is 1.95 Å. The Mn(8)-O(17) bond length is 2.00 Å. The Mn(8)-O(2) bond length is 1.97 Å. The Mn(8)-O(29) bond length is 2.08 Å. The Mn(8)-O(30) bond length is 2.10 Å. 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)KO5 square pyramid. The corner-sharing octahedral tilt angles range from 49-53°. The Mn(9)-O(15) bond length is 1.92 Å. The Mn(9)-O(16) bond length is 1.97 Å. The Mn(9)-O(17) bond length is 1.93 Å. The Mn(9)-O(18) bond length is 1.96 Å. The Mn(9)-O(29) bond length is 2.01 Å. The Mn(9)-O(3) bond length is 1.92 Å. 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,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, edges with two equivalent Mn(9)O6 octahedra, and  an edgeedge with one Mg(1)KO5 square pyramid. The corner-sharing octahedral tilt angles range from 49-53°. The Mn(10)-O(15) bond length is 1.92 Å. The Mn(10)-O(16) bond length is 1.97 Å. The Mn(10)-O(17) bond length is 1.93 Å. The Mn(10)-O(18) bond length is 1.96 Å. The Mn(10)-O(30) bond length is 2.01 Å. The Mn(10)-O(4) bond length is 1.92 Å. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. The Mn(11)-O(13) bond length is 1.94 Å. The Mn(11)-O(14) bond length is 1.96 Å. The Mn(11)-O(19) bond length is 1.96 Å. The Mn(11)-O(20) bond length is 1.95 Å. The Mn(11)-O(31) bond length is 1.97 Å. The Mn(11)-O(7) bond length is 1.91 Å. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. The Mn(12)-O(13) bond length is 1.94 Å. The Mn(12)-O(14) bond length is 1.96 Å. The Mn(12)-O(19) bond length is 1.96 Å. The Mn(12)-O(20) bond length is 1.95 Å. The Mn(12)-O(32) bond length is 1.97 Å. The Mn(12)-O(8) bond length is 1.91 Å. 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,  a cornercorner with one Mg(1)KO5 square pyramid,  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 48-52°. The Mn(13)-O(1) bond length is 1.95 Å. The Mn(13)-O(11) bond length is 1.95 Å. The Mn(13)-O(12) bond length is 1.95 Å. The Mn(13)-O(23) bond length is 1.95 Å. The Mn(13)-O(24) bond length is 1.98 Å. The Mn(13)-O(27) bond length is 2.10 Å. 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,  a cornercorner with one Mg(1)KO5 square pyramid,  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 48-52°. The Mn(14)-O(11) bond length is 1.95 Å. The Mn(14)-O(12) bond length is 1.95 Å. The Mn(14)-O(2) bond length is 1.96 Å. The Mn(14)-O(23) bond length is 1.95 Å. The Mn(14)-O(24) bond length is 1.98 Å. The Mn(14)-O(28) bond length is 2.10 Å. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. The Mn(15)-O(10) bond length is 1.94 Å. The Mn(15)-O(21) bond length is 1.96 Å. The Mn(15)-O(22) bond length is 1.96 Å. The Mn(15)-O(25) bond length is 2.00 Å. The Mn(15)-O(5) bond length is 1.90 Å. The Mn(15)-O(9) bond length is 1.95 Å. 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 corner and edge-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. The Mn(16)-O(10) bond length is 1.94 Å. The Mn(16)-O(21) bond length is 1.96 Å. The Mn(16)-O(22) bond length is 1.96 Å. The Mn(16)-O(26) bond length is 1.99 Å. The Mn(16)-O(6) bond length is 1.91 Å. The Mn(16)-O(9) bond length is 1.95 Å. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Mn(13), 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(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 distorted 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 distorted 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 3-coordinate geometry to one K(1), one Mn(15), one Mn(16), and one Mn(5) atom. In the tenth O site, O(10) is bonded in a distorted 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 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 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 pyramidal geometry to one Mg(1), 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 distorted trigonal non-coplanar 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 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 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 to one K(1), one Mn(1), one Mn(15), and one Mn(2) atom to form distorted OKMn3 trigonal pyramids that share  a cornercorner with one Mg(1)KO5 square pyramid,  a cornercorner with one O(26)KMn3 trigonal pyramid,  a cornercorner with one O(31)KMn3 trigonal pyramid,  a cornercorner with one O(32)KMn3 trigonal pyramid, and  an edgeedge with one O(26)KMn3 trigonal pyramid. In the twenty-sixth O site, O(26) is bonded to one K(1), one Mn(1), one Mn(16), and one Mn(2) atom to form distorted OKMn3 trigonal pyramids that share  a cornercorner with one Mg(1)KO5 square pyramid,  a cornercorner with one O(25)KMn3 trigonal pyramid,  a cornercorner with one O(31)KMn3 trigonal pyramid,  a cornercorner with one O(32)KMn3 trigonal pyramid, and  an edgeedge with one O(25)KMn3 trigonal pyramid. In the twenty-seventh O site, O(27) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(13), one Mn(3), and one Mn(4) atom. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(14), one Mn(3), and one Mn(4) atom. In the twenty-ninth O site, O(29) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(7), one Mn(8), and one Mn(9) atom. In the thirtieth O site, O(30) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mn(10), one Mn(7), and one Mn(8) atom. In the thirty-first O site, O(31) is bonded to one K(1), one Mn(11), one Mn(5), and one Mn(6) atom to form distorted OKMn3 trigonal pyramids that share  a cornercorner with one Mg(1)KO5 square pyramid,  a cornercorner with one O(25)KMn3 trigonal pyramid,  a cornercorner with one O(26)KMn3 trigonal pyramid,  a cornercorner with one O(32)KMn3 trigonal pyramid, and  an edgeedge with one O(32)KMn3 trigonal pyramid. In the thirty-second O site, O(32) is bonded to one K(1), one Mn(12), one Mn(5), and one Mn(6) atom to form distorted OKMn3 trigonal pyramids that share  a cornercorner with one Mg(1)KO5 square pyramid,  a cornercorner with one O(25)KMn3 trigonal pyramid,  a cornercorner with one O(26)KMn3 trigonal pyramid,  a cornercorner with one O(31)KMn3 trigonal pyramid, and  an edgeedge with one O(31)KMn3 trigonal pyramid.