Li6Mn15O32 is beta indium sulfide-derived structured and crystallizes in the monoclinic C2/m space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(5), and two equivalent O(1) atoms to form LiO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-61°. In the second Li site, Li(2) is bonded to one O(2), one O(4), and two equivalent O(7) atoms to form LiO4 tetrahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-66°. In the third Li site, Li(3) is bonded to one O(10), one O(11), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Mn(7)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, corners with three equivalent Mn(6)O6 octahedra, and corners with four equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-61°. There are seven inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(5), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and edges with four equivalent Mn(5)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent Li(3)O4 tetrahedra, edges with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Mn(7)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(11), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(11), one O(9), two equivalent O(12), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to two equivalent O(10) and four equivalent O(12) atoms to form MnO6 octahedra that share corners with two equivalent Li(3)O4 tetrahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with four equivalent Mn(4)O6 octahedra. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Li(1), one Mn(1), and one Mn(2) atom. In the second O site, O(2) is bonded to one Li(2), one Mn(1), and two equivalent Mn(5) atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Li(2) and two equivalent Mn(2) atoms. In the fifth O site, O(5) is bonded to one Li(1), one Mn(3), and two equivalent Mn(5) atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(3), one Mn(3), one Mn(5), and one Mn(6) atom to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(1), one Mn(3), and one Mn(5) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Mn(3) and two equivalent Mn(5) atoms. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mn(6) and two equivalent Mn(4) atoms. In the tenth O site, O(10) is bonded to one Li(3), one Mn(7), and two equivalent Mn(4) atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Li(3), one Mn(6), and two equivalent Mn(5) atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Mn(4), one Mn(6), and one Mn(7) atom.
Li6Mn15O32 is beta indium sulfide-derived structured and crystallizes in the monoclinic C2/m space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(5), and two equivalent O(1) atoms to form LiO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-61°. The Li(1)-O(3) bond length is 1.97 Å. The Li(1)-O(5) bond length is 2.02 Å. Both Li(1)-O(1) bond lengths are 1.91 Å. In the second Li site, Li(2) is bonded to one O(2), one O(4), and two equivalent O(7) atoms to form LiO4 tetrahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-66°. The Li(2)-O(2) bond length is 2.01 Å. The Li(2)-O(4) bond length is 1.90 Å. Both Li(2)-O(7) bond lengths are 2.00 Å. In the third Li site, Li(3) is bonded to one O(10), one O(11), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Mn(7)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, corners with three equivalent Mn(6)O6 octahedra, and corners with four equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-61°. The Li(3)-O(10) bond length is 1.96 Å. The Li(3)-O(11) bond length is 1.97 Å. Both Li(3)-O(6) bond lengths are 1.97 Å. There are seven inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(3), two equivalent O(1), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The Mn(1)-O(2) bond length is 1.97 Å. The Mn(1)-O(3) bond length is 1.94 Å. Both Mn(1)-O(1) bond lengths are 1.79 Å. Both Mn(1)-O(7) bond lengths are 2.05 Å. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. Both Mn(2)-O(1) bond lengths are 1.90 Å. Both Mn(2)-O(3) bond lengths are 1.96 Å. Both Mn(2)-O(4) bond lengths are 1.87 Å. In the third Mn site, Mn(3) is bonded to one O(5), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, and edges with four equivalent Mn(5)O6 octahedra. The Mn(3)-O(5) bond length is 1.95 Å. The Mn(3)-O(8) bond length is 1.92 Å. Both Mn(3)-O(6) bond lengths are 1.95 Å. Both Mn(3)-O(7) bond lengths are 1.92 Å. In the fourth Mn site, Mn(4) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent Li(3)O4 tetrahedra, edges with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Mn(7)O6 octahedra. Both Mn(4)-O(10) bond lengths are 1.95 Å. Both Mn(4)-O(12) bond lengths are 1.93 Å. Both Mn(4)-O(9) bond lengths are 1.93 Å. In the fifth Mn site, Mn(5) is bonded to one O(11), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The Mn(5)-O(11) bond length is 1.94 Å. The Mn(5)-O(2) bond length is 1.95 Å. The Mn(5)-O(5) bond length is 1.95 Å. The Mn(5)-O(6) bond length is 1.95 Å. The Mn(5)-O(7) bond length is 1.93 Å. The Mn(5)-O(8) bond length is 1.92 Å. In the sixth Mn site, Mn(6) is bonded to one O(11), one O(9), two equivalent O(12), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The Mn(6)-O(11) bond length is 1.97 Å. The Mn(6)-O(9) bond length is 1.91 Å. Both Mn(6)-O(12) bond lengths are 1.91 Å. Both Mn(6)-O(6) bond lengths are 1.97 Å. In the seventh Mn site, Mn(7) is bonded to two equivalent O(10) and four equivalent O(12) atoms to form MnO6 octahedra that share corners with two equivalent Li(3)O4 tetrahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with four equivalent Mn(4)O6 octahedra. Both Mn(7)-O(10) bond lengths are 1.95 Å. All Mn(7)-O(12) bond lengths are 1.93 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Li(1), one Mn(1), and one Mn(2) atom. In the second O site, O(2) is bonded to one Li(2), one Mn(1), and two equivalent Mn(5) atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Li(2) and two equivalent Mn(2) atoms. In the fifth O site, O(5) is bonded to one Li(1), one Mn(3), and two equivalent Mn(5) atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(3), one Mn(3), one Mn(5), and one Mn(6) atom to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(1), one Mn(3), and one Mn(5) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Mn(3) and two equivalent Mn(5) atoms. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mn(6) and two equivalent Mn(4) atoms. In the tenth O site, O(10) is bonded to one Li(3), one Mn(7), and two equivalent Mn(4) atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Li(3), one Mn(6), and two equivalent Mn(5) atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Mn(4), one Mn(6), and one Mn(7) atom.