K8MgMn4O16 crystallizes in the triclinic P1 space group. There are eight inequivalent K sites. In the first K site, K(1) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(16), one O(2), one O(4), and two equivalent O(8) atoms. In the second K site, K(2) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(3), one O(4), one O(5), and one O(8) atom. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(4), one O(5), one O(6), and two equivalent O(14) atoms. In the fourth K site, K(4) is bonded in a 7-coordinate geometry to one O(11), one O(3), one O(4), one O(7), one O(8), and two equivalent O(1) atoms. In the fifth K site, K(5) is bonded to one O(10), one O(13), one O(14), one O(16), one O(6), and one O(9) atom to form KO6 octahedra that share  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(3)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra, corners with two equivalent Mn(4)O4 tetrahedra, and edges with two equivalent K(7)O6 octahedra. In the sixth K site, K(6) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(12), one O(13), and two equivalent O(3) atoms. In the seventh K site, K(7) is bonded to one O(10), one O(13), one O(14), one O(15), one O(5), and one O(9) atom to form KO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(3)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra, corners with two equivalent Mn(4)O4 tetrahedra, and edges with two equivalent K(5)O6 octahedra. In the eighth K site, K(8) is bonded in a 7-coordinate geometry to one O(13), one O(15), one O(16), one O(6), one O(7), and two equivalent O(9) atoms. Mg(1) is bonded to one O(15), one O(2), one O(7), and one O(8) atom to form MgO4 tetrahedra that share  a cornercorner with one K(7)O6 octahedra, corners with two equivalent Mn(1)O4 tetrahedra, and  an edgeedge with one Mn(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), one O(7), and one O(9) atom to form MnO4 tetrahedra that share  a cornercorner with one K(5)O6 octahedra,  a cornercorner with one K(7)O6 octahedra, and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 43-51°. In the second Mn site, Mn(2) is bonded to one O(13), one O(3), one O(5), and one O(6) atom to form MnO4 tetrahedra that share corners with two equivalent K(5)O6 octahedra and corners with two equivalent K(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-65°. In the third Mn site, Mn(3) is bonded to one O(11), one O(12), one O(14), and one O(4) atom to form MnO4 tetrahedra that share  a cornercorner with one K(5)O6 octahedra and  a cornercorner with one K(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-62°. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(15), one O(16), and one O(8) atom to form MnO4 tetrahedra that share corners with two equivalent K(5)O6 octahedra, corners with two equivalent K(7)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 36-56°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one K(1), one K(6), two equivalent K(4), and one Mn(1) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one K(1), one Mg(1), and one Mn(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(2), one K(4), two equivalent K(6), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(3), one K(4), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(2), one K(3), one K(7), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(3), one K(5), one K(8), and one Mn(2) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(4), one K(8), one Mg(1), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a 2-coordinate geometry to one K(2), one K(4), two equivalent K(1), one Mg(1), and one Mn(4) atom. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one K(5), one K(7), two equivalent K(8), and one Mn(1) atom. In the tenth O site, O(10) is bonded in a 1-coordinate geometry to one K(1), one K(3), one K(5), one K(7), and one Mn(4) atom. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one K(2), one K(3), one K(4), one K(6), and one Mn(3) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one K(2), one K(6), and one Mn(3) atom. In the thirteenth O site, O(13) is bonded in a distorted single-bond geometry to one K(5), one K(6), one K(7), one K(8), and one Mn(2) atom. In the fourteenth O site, O(14) is bonded in a distorted single-bond geometry to one K(5), one K(7), two equivalent K(3), and one Mn(3) atom. In the fifteenth O site, O(15) is bonded in a distorted rectangular see-saw-like geometry to one K(7), one K(8), one Mg(1), and one Mn(4) atom. In the sixteenth O site, O(16) is bonded in a 1-coordinate geometry to one K(1), one K(5), one K(8), and one Mn(4) atom.
K8MgMn4O16 crystallizes in the triclinic P1 space group. There are eight inequivalent K sites. In the first K site, K(1) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(16), one O(2), one O(4), and two equivalent O(8) atoms. The K(1)-O(1) bond length is 2.73 Å. The K(1)-O(10) bond length is 2.81 Å. The K(1)-O(16) bond length is 3.26 Å. The K(1)-O(2) bond length is 2.86 Å. The K(1)-O(4) bond length is 3.23 Å. There is one shorter (2.83 Å) and one longer (3.13 Å) K(1)-O(8) bond length. In the second K site, K(2) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(3), one O(4), one O(5), and one O(8) atom. The K(2)-O(11) bond length is 2.91 Å. The K(2)-O(12) bond length is 2.79 Å. The K(2)-O(3) bond length is 2.72 Å. The K(2)-O(4) bond length is 2.70 Å. The K(2)-O(5) bond length is 2.82 Å. The K(2)-O(8) bond length is 2.93 Å. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(4), one O(5), one O(6), and two equivalent O(14) atoms. The K(3)-O(10) bond length is 3.26 Å. The K(3)-O(11) bond length is 2.88 Å. The K(3)-O(4) bond length is 3.00 Å. The K(3)-O(5) bond length is 2.82 Å. The K(3)-O(6) bond length is 2.78 Å. There is one shorter (2.81 Å) and one longer (3.09 Å) K(3)-O(14) bond length. In the fourth K site, K(4) is bonded in a 7-coordinate geometry to one O(11), one O(3), one O(4), one O(7), one O(8), and two equivalent O(1) atoms. The K(4)-O(11) bond length is 2.84 Å. The K(4)-O(3) bond length is 2.90 Å. The K(4)-O(4) bond length is 2.76 Å. The K(4)-O(7) bond length is 2.79 Å. The K(4)-O(8) bond length is 2.98 Å. There is one shorter (2.92 Å) and one longer (3.19 Å) K(4)-O(1) bond length. In the fifth K site, K(5) is bonded to one O(10), one O(13), one O(14), one O(16), one O(6), and one O(9) atom to form KO6 octahedra that share  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(3)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra, corners with two equivalent Mn(4)O4 tetrahedra, and edges with two equivalent K(7)O6 octahedra. The K(5)-O(10) bond length is 2.64 Å. The K(5)-O(13) bond length is 2.75 Å. The K(5)-O(14) bond length is 2.75 Å. The K(5)-O(16) bond length is 2.60 Å. The K(5)-O(6) bond length is 2.69 Å. The K(5)-O(9) bond length is 2.73 Å. In the sixth K site, K(6) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(12), one O(13), and two equivalent O(3) atoms. The K(6)-O(1) bond length is 2.85 Å. The K(6)-O(11) bond length is 3.05 Å. The K(6)-O(12) bond length is 2.80 Å. The K(6)-O(13) bond length is 2.86 Å. There is one shorter (2.85 Å) and one longer (3.06 Å) K(6)-O(3) bond length. In the seventh K site, K(7) is bonded to one O(10), one O(13), one O(14), one O(15), one O(5), and one O(9) atom to form KO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(3)O4 tetrahedra, corners with two equivalent Mn(2)O4 tetrahedra, corners with two equivalent Mn(4)O4 tetrahedra, and edges with two equivalent K(5)O6 octahedra. The K(7)-O(10) bond length is 2.86 Å. The K(7)-O(13) bond length is 2.87 Å. The K(7)-O(14) bond length is 2.76 Å. The K(7)-O(15) bond length is 2.78 Å. The K(7)-O(5) bond length is 3.05 Å. The K(7)-O(9) bond length is 2.81 Å. In the eighth K site, K(8) is bonded in a 7-coordinate geometry to one O(13), one O(15), one O(16), one O(6), one O(7), and two equivalent O(9) atoms. The K(8)-O(13) bond length is 3.06 Å. The K(8)-O(15) bond length is 2.83 Å. The K(8)-O(16) bond length is 2.66 Å. The K(8)-O(6) bond length is 2.76 Å. The K(8)-O(7) bond length is 2.88 Å. There is one shorter (2.85 Å) and one longer (3.20 Å) K(8)-O(9) bond length. Mg(1) is bonded to one O(15), one O(2), one O(7), and one O(8) atom to form MgO4 tetrahedra that share  a cornercorner with one K(7)O6 octahedra, corners with two equivalent Mn(1)O4 tetrahedra, and  an edgeedge with one Mn(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. The Mg(1)-O(15) bond length is 1.99 Å. The Mg(1)-O(2) bond length is 1.95 Å. The Mg(1)-O(7) bond length is 1.95 Å. The Mg(1)-O(8) bond length is 2.01 Å. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), one O(7), and one O(9) atom to form MnO4 tetrahedra that share  a cornercorner with one K(5)O6 octahedra,  a cornercorner with one K(7)O6 octahedra, and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 43-51°. The Mn(1)-O(1) bond length is 1.69 Å. The Mn(1)-O(2) bond length is 1.75 Å. The Mn(1)-O(7) bond length is 1.77 Å. The Mn(1)-O(9) bond length is 1.70 Å. In the second Mn site, Mn(2) is bonded to one O(13), one O(3), one O(5), and one O(6) atom to form MnO4 tetrahedra that share corners with two equivalent K(5)O6 octahedra and corners with two equivalent K(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-65°. The Mn(2)-O(13) bond length is 1.67 Å. The Mn(2)-O(3) bond length is 1.67 Å. The Mn(2)-O(5) bond length is 1.66 Å. The Mn(2)-O(6) bond length is 1.67 Å. In the third Mn site, Mn(3) is bonded to one O(11), one O(12), one O(14), and one O(4) atom to form MnO4 tetrahedra that share  a cornercorner with one K(5)O6 octahedra and  a cornercorner with one K(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-62°. The Mn(3)-O(11) bond length is 1.67 Å. The Mn(3)-O(12) bond length is 1.65 Å. The Mn(3)-O(14) bond length is 1.68 Å. The Mn(3)-O(4) bond length is 1.67 Å. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(15), one O(16), and one O(8) atom to form MnO4 tetrahedra that share corners with two equivalent K(5)O6 octahedra, corners with two equivalent K(7)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 36-56°. The Mn(4)-O(10) bond length is 1.68 Å. The Mn(4)-O(15) bond length is 1.76 Å. The Mn(4)-O(16) bond length is 1.68 Å. The Mn(4)-O(8) bond length is 1.79 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one K(1), one K(6), two equivalent K(4), and one Mn(1) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one K(1), one Mg(1), and one Mn(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(2), one K(4), two equivalent K(6), and one Mn(2) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(3), one K(4), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(2), one K(3), one K(7), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(3), one K(5), one K(8), and one Mn(2) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(4), one K(8), one Mg(1), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a 2-coordinate geometry to one K(2), one K(4), two equivalent K(1), one Mg(1), and one Mn(4) atom. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one K(5), one K(7), two equivalent K(8), and one Mn(1) atom. In the tenth O site, O(10) is bonded in a 1-coordinate geometry to one K(1), one K(3), one K(5), one K(7), and one Mn(4) atom. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one K(2), one K(3), one K(4), one K(6), and one Mn(3) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one K(2), one K(6), and one Mn(3) atom. In the thirteenth O site, O(13) is bonded in a distorted single-bond geometry to one K(5), one K(6), one K(7), one K(8), and one Mn(2) atom. In the fourteenth O site, O(14) is bonded in a distorted single-bond geometry to one K(5), one K(7), two equivalent K(3), and one Mn(3) atom. In the fifteenth O site, O(15) is bonded in a distorted rectangular see-saw-like geometry to one K(7), one K(8), one Mg(1), and one Mn(4) atom. In the sixteenth O site, O(16) is bonded in a 1-coordinate geometry to one K(1), one K(5), one K(8), and one Mn(4) atom.