Li2Mn15O32 crystallizes in the trigonal R3m space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13) and three equivalent O(1) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(6)O6 octahedra and corners with six equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. In the second Li site, Li(2) is bonded to one O(6) and three equivalent O(15) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(1)O6 octahedra and corners with six equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. There are seven inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(4) atoms to form MnO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Mn(5)O4 tetrahedra, and edges with four equivalent Mn(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(10), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form MnO6 octahedra that share  a cornercorner with one Mn(5)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(14), one O(9), two equivalent O(12), and two equivalent O(7) atoms to form edge-sharing MnO6 octahedra. In the fourth Mn site, Mn(4) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form edge-sharing MnO6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(10) and three equivalent O(4) atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedral tilt angles range from 58-59°. In the sixth Mn site, Mn(6) is bonded to one O(13), one O(16), two equivalent O(11), and two equivalent O(15) atoms to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(7)O6 octahedra, and edges with four equivalent Mn(6)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to three equivalent O(11) and three equivalent O(12) atoms to form edge-sharing MnO6 octahedra. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Mn(1) atoms. In the second O site, O(2) is bonded in a distorted T-shaped geometry to three equivalent Mn(1) atoms. In the third O site, O(3) is bonded in a water-like geometry to two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Mn(5) and two equivalent Mn(1) atoms. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to three equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a distorted tetrahedral geometry to one Li(2) and three equivalent Mn(1) atoms. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mn(4) and two equivalent Mn(3) atoms. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mn(4) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to three equivalent Mn(3) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal pyramidal geometry to one Mn(5) and three equivalent Mn(2) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Mn(7) and two equivalent Mn(6) atoms. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Mn(7) and two equivalent Mn(3) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal pyramidal geometry to one Li(1) and three equivalent Mn(6) atoms. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to three equivalent Mn(3) atoms. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to one Li(2) and two equivalent Mn(6) atoms. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to three equivalent Mn(6) atoms.
Li2Mn15O32 crystallizes in the trigonal R3m space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13) and three equivalent O(1) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(6)O6 octahedra and corners with six equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. The Li(1)-O(13) bond length is 1.97 Å. All Li(1)-O(1) bond lengths are 1.95 Å. In the second Li site, Li(2) is bonded to one O(6) and three equivalent O(15) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(1)O6 octahedra and corners with six equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. The Li(2)-O(6) bond length is 2.02 Å. All Li(2)-O(15) bond lengths are 1.93 Å. There are seven inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(4) atoms to form MnO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Mn(5)O4 tetrahedra, and edges with four equivalent Mn(1)O6 octahedra. The Mn(1)-O(2) bond length is 1.94 Å. The Mn(1)-O(6) bond length is 1.97 Å. Both Mn(1)-O(1) bond lengths are 1.88 Å. Both Mn(1)-O(4) bond lengths are 1.97 Å. In the second Mn site, Mn(2) is bonded to one O(10), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form MnO6 octahedra that share  a cornercorner with one Mn(5)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The Mn(2)-O(10) bond length is 2.01 Å. The Mn(2)-O(5) bond length is 1.93 Å. Both Mn(2)-O(3) bond lengths are 1.87 Å. Both Mn(2)-O(8) bond lengths are 1.96 Å. In the third Mn site, Mn(3) is bonded to one O(14), one O(9), two equivalent O(12), and two equivalent O(7) atoms to form edge-sharing MnO6 octahedra. The Mn(3)-O(14) bond length is 1.95 Å. The Mn(3)-O(9) bond length is 1.95 Å. Both Mn(3)-O(12) bond lengths are 1.95 Å. Both Mn(3)-O(7) bond lengths are 1.95 Å. In the fourth Mn site, Mn(4) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form edge-sharing MnO6 octahedra. All Mn(4)-O(7) bond lengths are 1.96 Å. All Mn(4)-O(8) bond lengths are 1.93 Å. In the fifth Mn site, Mn(5) is bonded to one O(10) and three equivalent O(4) atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedral tilt angles range from 58-59°. The Mn(5)-O(10) bond length is 2.02 Å. All Mn(5)-O(4) bond lengths are 1.92 Å. In the sixth Mn site, Mn(6) is bonded to one O(13), one O(16), two equivalent O(11), and two equivalent O(15) atoms to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(7)O6 octahedra, and edges with four equivalent Mn(6)O6 octahedra. The Mn(6)-O(13) bond length is 1.98 Å. The Mn(6)-O(16) bond length is 1.94 Å. Both Mn(6)-O(11) bond lengths are 1.96 Å. Both Mn(6)-O(15) bond lengths are 1.88 Å. In the seventh Mn site, Mn(7) is bonded to three equivalent O(11) and three equivalent O(12) atoms to form edge-sharing MnO6 octahedra. All Mn(7)-O(11) bond lengths are 1.93 Å. All Mn(7)-O(12) bond lengths are 1.97 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Mn(1) atoms. In the second O site, O(2) is bonded in a distorted T-shaped geometry to three equivalent Mn(1) atoms. In the third O site, O(3) is bonded in a water-like geometry to two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Mn(5) and two equivalent Mn(1) atoms. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to three equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a distorted tetrahedral geometry to one Li(2) and three equivalent Mn(1) atoms. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mn(4) and two equivalent Mn(3) atoms. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mn(4) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to three equivalent Mn(3) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal pyramidal geometry to one Mn(5) and three equivalent Mn(2) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Mn(7) and two equivalent Mn(6) atoms. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Mn(7) and two equivalent Mn(3) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal pyramidal geometry to one Li(1) and three equivalent Mn(6) atoms. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to three equivalent Mn(3) atoms. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to one Li(2) and two equivalent Mn(6) atoms. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to three equivalent Mn(6) atoms.