Li10Cr5Mn3O16 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(16), one O(2), one O(6), and one O(8) atom. In the second Li site, Li(2) is bonded to one O(11), one O(13), one O(2), one O(3), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra, edges with two equivalent Cr(4)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  a faceface with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the third Li site, Li(3) is bonded in a 3-coordinate geometry to one O(1), one O(11), one O(14), one O(15), one O(3), and one O(9) atom. In the fourth Li site, Li(4) is bonded to one O(1), one O(10), one O(12), one O(14), one O(4), and one O(5) atom to form distorted LiO6 octahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. In the fifth Li site, Li(5) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(15), one O(5), one O(7), and one O(9) atom. In the sixth Li site, Li(6) is bonded in a 3-coordinate geometry to one O(12), one O(13), one O(16), one O(2), one O(4), and one O(8) atom. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(14), one O(15), one O(3), one O(5), one O(7), and one O(9) atom. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(10), one O(13), one O(16), one O(4), one O(6), and one O(8) atom. In the ninth Li site, Li(9) is bonded to one O(1), one O(14), one O(15), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with three equivalent Li(4)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 16-61°. In the tenth Li site, Li(10) is bonded to one O(13), one O(16), one O(2), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-66°. There are five inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(10), one O(16), one O(4), one O(5), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-48°. In the second Cr site, Cr(2) is bonded to one O(1), one O(11), one O(14), one O(3), one O(5), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  a faceface with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-54°. In the third Cr site, Cr(3) is bonded to one O(10), one O(12), one O(13), one O(2), one O(4), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  a faceface with one Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-53°. In the fourth Cr site, Cr(4) is bonded to one O(15), one O(2), one O(3), one O(6), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-49°. In the fifth Cr site, Cr(5) is bonded to one O(11), one O(13), one O(15), one O(2), one O(3), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-50°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(12), one O(14), one O(16), one O(4), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the second Mn site, Mn(2) is bonded to one O(11), one O(13), one O(15), one O(6), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(14), one O(16), one O(5), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-54°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(3), one Li(4), one Li(5), one Li(9), one Cr(1), one Cr(2), and one Mn(1) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(2), one Li(6), one Cr(3), one Cr(4), and one Cr(5) atom. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(7), one Cr(2), one Cr(4), and one Cr(5) atom to form OLi3Cr3 octahedra that share edges with two equivalent O(11)Li3MnCr2 octahedra, edges with two equivalent O(7)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the fourth O site, O(4) is bonded to one Li(4), one Li(6), one Li(8), one Cr(1), one Cr(3), and one Mn(1) atom to form OLi3MnCr2 octahedra that share edges with two equivalent O(12)Li3Mn2Cr octahedra, edges with two equivalent O(10)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the fifth O site, O(5) is bonded in a 7-coordinate geometry to one Li(4), one Li(5), one Li(7), one Li(9), one Cr(1), one Cr(2), and one Mn(3) atom. In the sixth O site, O(6) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(2), one Li(8), one Cr(3), one Cr(4), and one Mn(2) atom. In the seventh O site, O(7) is bonded to one Li(2), one Li(5), one Li(7), one Cr(2), one Cr(4), and one Mn(2) atom to form OLi3MnCr2 octahedra that share edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(11)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the eighth O site, O(8) is bonded to one Li(1), one Li(6), one Li(8), one Cr(4), one Cr(5), and one Mn(2) atom to form distorted OLi3MnCr2 pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(12)Li3Mn2Cr octahedra,  an edgeedge with one O(10)Li3MnCr2 octahedra,  an edgeedge with one O(11)Li3MnCr2 octahedra,  an edgeedge with one O(4)Li3MnCr2 octahedra, and  an edgeedge with one O(7)Li3MnCr2 octahedra. In the ninth O site, O(9) is bonded to one Li(3), one Li(5), one Li(7), one Cr(1), one Mn(1), and one Mn(3) atom to form distorted OLi3Mn2Cr pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(12)Li3Mn2Cr octahedra,  an edgeedge with one O(10)Li3MnCr2 octahedra,  an edgeedge with one O(11)Li3MnCr2 octahedra,  an edgeedge with one O(4)Li3MnCr2 octahedra, and  an edgeedge with one O(7)Li3MnCr2 octahedra. In the tenth O site, O(10) is bonded to one Li(1), one Li(4), one Li(8), one Cr(1), one Cr(3), and one Mn(3) atom to form OLi3MnCr2 octahedra that share edges with two equivalent O(12)Li3Mn2Cr octahedra, edges with two equivalent O(4)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(5), one Cr(2), one Cr(5), and one Mn(2) atom to form OLi3MnCr2 octahedra that share edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(7)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Li(4), one Li(6), one Cr(3), one Mn(1), and one Mn(3) atom to form OLi3Mn2Cr octahedra that share edges with two equivalent O(10)Li3MnCr2 octahedra, edges with two equivalent O(4)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(6), one Li(8), one Cr(3), one Cr(5), and one Mn(2) atom. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(3), one Li(4), one Li(7), one Li(9), one Cr(2), one Mn(1), and one Mn(3) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(3), one Li(5), one Li(7), one Li(9), one Cr(4), one Cr(5), and one Mn(2) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(6), one Li(8), one Cr(1), one Mn(1), and one Mn(3) atom.
Li10Cr5Mn3O16 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(16), one O(2), one O(6), and one O(8) atom. The Li(1)-O(10) bond length is 1.95 Å. The Li(1)-O(12) bond length is 1.94 Å. The Li(1)-O(16) bond length is 2.19 Å. The Li(1)-O(2) bond length is 2.42 Å. The Li(1)-O(6) bond length is 2.33 Å. The Li(1)-O(8) bond length is 2.07 Å. In the second Li site, Li(2) is bonded to one O(11), one O(13), one O(2), one O(3), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra, edges with two equivalent Cr(4)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  a faceface with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. The Li(2)-O(11) bond length is 2.13 Å. The Li(2)-O(13) bond length is 2.27 Å. The Li(2)-O(2) bond length is 2.11 Å. The Li(2)-O(3) bond length is 2.20 Å. The Li(2)-O(6) bond length is 2.26 Å. The Li(2)-O(7) bond length is 2.16 Å. In the third Li site, Li(3) is bonded in a 3-coordinate geometry to one O(1), one O(11), one O(14), one O(15), one O(3), and one O(9) atom. The Li(3)-O(1) bond length is 2.54 Å. The Li(3)-O(11) bond length is 1.95 Å. The Li(3)-O(14) bond length is 2.24 Å. The Li(3)-O(15) bond length is 2.44 Å. The Li(3)-O(3) bond length is 2.04 Å. The Li(3)-O(9) bond length is 2.06 Å. In the fourth Li site, Li(4) is bonded to one O(1), one O(10), one O(12), one O(14), one O(4), and one O(5) atom to form distorted LiO6 octahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. The Li(4)-O(1) bond length is 2.10 Å. The Li(4)-O(10) bond length is 2.24 Å. The Li(4)-O(12) bond length is 2.19 Å. The Li(4)-O(14) bond length is 2.39 Å. The Li(4)-O(4) bond length is 2.14 Å. The Li(4)-O(5) bond length is 2.14 Å. In the fifth Li site, Li(5) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(15), one O(5), one O(7), and one O(9) atom. The Li(5)-O(1) bond length is 2.34 Å. The Li(5)-O(11) bond length is 1.94 Å. The Li(5)-O(15) bond length is 2.27 Å. The Li(5)-O(5) bond length is 2.33 Å. The Li(5)-O(7) bond length is 1.94 Å. The Li(5)-O(9) bond length is 2.04 Å. In the sixth Li site, Li(6) is bonded in a 3-coordinate geometry to one O(12), one O(13), one O(16), one O(2), one O(4), and one O(8) atom. The Li(6)-O(12) bond length is 1.96 Å. The Li(6)-O(13) bond length is 2.24 Å. The Li(6)-O(16) bond length is 2.56 Å. The Li(6)-O(2) bond length is 2.46 Å. The Li(6)-O(4) bond length is 1.99 Å. The Li(6)-O(8) bond length is 1.97 Å. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(14), one O(15), one O(3), one O(5), one O(7), and one O(9) atom. The Li(7)-O(14) bond length is 2.41 Å. The Li(7)-O(15) bond length is 2.35 Å. The Li(7)-O(3) bond length is 2.01 Å. The Li(7)-O(5) bond length is 2.43 Å. The Li(7)-O(7) bond length is 1.99 Å. The Li(7)-O(9) bond length is 2.22 Å. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(10), one O(13), one O(16), one O(4), one O(6), and one O(8) atom. The Li(8)-O(10) bond length is 1.96 Å. The Li(8)-O(13) bond length is 2.47 Å. The Li(8)-O(16) bond length is 2.53 Å. The Li(8)-O(4) bond length is 1.97 Å. The Li(8)-O(6) bond length is 2.40 Å. The Li(8)-O(8) bond length is 2.12 Å. In the ninth Li site, Li(9) is bonded to one O(1), one O(14), one O(15), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with three equivalent Li(4)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 16-61°. The Li(9)-O(1) bond length is 1.89 Å. The Li(9)-O(14) bond length is 1.90 Å. The Li(9)-O(15) bond length is 1.87 Å. The Li(9)-O(5) bond length is 1.90 Å. In the tenth Li site, Li(10) is bonded to one O(13), one O(16), one O(2), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-66°. The Li(10)-O(13) bond length is 1.88 Å. The Li(10)-O(16) bond length is 1.90 Å. The Li(10)-O(2) bond length is 1.92 Å. The Li(10)-O(6) bond length is 1.90 Å. There are five inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(10), one O(16), one O(4), one O(5), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-48°. The Cr(1)-O(1) bond length is 2.08 Å. The Cr(1)-O(10) bond length is 2.03 Å. The Cr(1)-O(16) bond length is 2.05 Å. The Cr(1)-O(4) bond length is 2.05 Å. The Cr(1)-O(5) bond length is 2.09 Å. The Cr(1)-O(9) bond length is 2.06 Å. In the second Cr site, Cr(2) is bonded to one O(1), one O(11), one O(14), one O(3), one O(5), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  a faceface with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-54°. The Cr(2)-O(1) bond length is 2.10 Å. The Cr(2)-O(11) bond length is 2.05 Å. The Cr(2)-O(14) bond length is 2.07 Å. The Cr(2)-O(3) bond length is 2.11 Å. The Cr(2)-O(5) bond length is 2.09 Å. The Cr(2)-O(7) bond length is 2.07 Å. In the third Cr site, Cr(3) is bonded to one O(10), one O(12), one O(13), one O(2), one O(4), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  a faceface with one Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-53°. The Cr(3)-O(10) bond length is 2.07 Å. The Cr(3)-O(12) bond length is 2.05 Å. The Cr(3)-O(13) bond length is 2.06 Å. The Cr(3)-O(2) bond length is 2.19 Å. The Cr(3)-O(4) bond length is 2.07 Å. The Cr(3)-O(6) bond length is 2.07 Å. In the fourth Cr site, Cr(4) is bonded to one O(15), one O(2), one O(3), one O(6), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-49°. The Cr(4)-O(15) bond length is 2.04 Å. The Cr(4)-O(2) bond length is 2.09 Å. The Cr(4)-O(3) bond length is 2.06 Å. The Cr(4)-O(6) bond length is 2.10 Å. The Cr(4)-O(7) bond length is 2.05 Å. The Cr(4)-O(8) bond length is 2.03 Å. In the fifth Cr site, Cr(5) is bonded to one O(11), one O(13), one O(15), one O(2), one O(3), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-50°. The Cr(5)-O(11) bond length is 2.02 Å. The Cr(5)-O(13) bond length is 2.09 Å. The Cr(5)-O(15) bond length is 2.04 Å. The Cr(5)-O(2) bond length is 2.09 Å. The Cr(5)-O(3) bond length is 2.07 Å. The Cr(5)-O(8) bond length is 2.04 Å. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(12), one O(14), one O(16), one O(4), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-51°. The Mn(1)-O(1) bond length is 2.27 Å. The Mn(1)-O(12) bond length is 2.00 Å. The Mn(1)-O(14) bond length is 2.05 Å. The Mn(1)-O(16) bond length is 1.99 Å. The Mn(1)-O(4) bond length is 2.24 Å. The Mn(1)-O(9) bond length is 1.98 Å. In the second Mn site, Mn(2) is bonded to one O(11), one O(13), one O(15), one O(6), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-53°. The Mn(2)-O(11) bond length is 2.18 Å. The Mn(2)-O(13) bond length is 2.22 Å. The Mn(2)-O(15) bond length is 2.14 Å. The Mn(2)-O(6) bond length is 2.18 Å. The Mn(2)-O(7) bond length is 2.16 Å. The Mn(2)-O(8) bond length is 2.14 Å. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(14), one O(16), one O(5), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-54°. The Mn(3)-O(10) bond length is 2.20 Å. The Mn(3)-O(12) bond length is 2.16 Å. The Mn(3)-O(14) bond length is 2.20 Å. The Mn(3)-O(16) bond length is 2.13 Å. The Mn(3)-O(5) bond length is 2.23 Å. The Mn(3)-O(9) bond length is 2.13 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(3), one Li(4), one Li(5), one Li(9), one Cr(1), one Cr(2), and one Mn(1) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(2), one Li(6), one Cr(3), one Cr(4), and one Cr(5) atom. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(7), one Cr(2), one Cr(4), and one Cr(5) atom to form OLi3Cr3 octahedra that share edges with two equivalent O(11)Li3MnCr2 octahedra, edges with two equivalent O(7)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the fourth O site, O(4) is bonded to one Li(4), one Li(6), one Li(8), one Cr(1), one Cr(3), and one Mn(1) atom to form OLi3MnCr2 octahedra that share edges with two equivalent O(12)Li3Mn2Cr octahedra, edges with two equivalent O(10)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the fifth O site, O(5) is bonded in a 7-coordinate geometry to one Li(4), one Li(5), one Li(7), one Li(9), one Cr(1), one Cr(2), and one Mn(3) atom. In the sixth O site, O(6) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(2), one Li(8), one Cr(3), one Cr(4), and one Mn(2) atom. In the seventh O site, O(7) is bonded to one Li(2), one Li(5), one Li(7), one Cr(2), one Cr(4), and one Mn(2) atom to form OLi3MnCr2 octahedra that share edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(11)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the eighth O site, O(8) is bonded to one Li(1), one Li(6), one Li(8), one Cr(4), one Cr(5), and one Mn(2) atom to form distorted OLi3MnCr2 pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(12)Li3Mn2Cr octahedra,  an edgeedge with one O(10)Li3MnCr2 octahedra,  an edgeedge with one O(11)Li3MnCr2 octahedra,  an edgeedge with one O(4)Li3MnCr2 octahedra, and  an edgeedge with one O(7)Li3MnCr2 octahedra. In the ninth O site, O(9) is bonded to one Li(3), one Li(5), one Li(7), one Cr(1), one Mn(1), and one Mn(3) atom to form distorted OLi3Mn2Cr pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(12)Li3Mn2Cr octahedra,  an edgeedge with one O(10)Li3MnCr2 octahedra,  an edgeedge with one O(11)Li3MnCr2 octahedra,  an edgeedge with one O(4)Li3MnCr2 octahedra, and  an edgeedge with one O(7)Li3MnCr2 octahedra. In the tenth O site, O(10) is bonded to one Li(1), one Li(4), one Li(8), one Cr(1), one Cr(3), and one Mn(3) atom to form OLi3MnCr2 octahedra that share edges with two equivalent O(12)Li3Mn2Cr octahedra, edges with two equivalent O(4)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(5), one Cr(2), one Cr(5), and one Mn(2) atom to form OLi3MnCr2 octahedra that share edges with two equivalent O(3)Li3Cr3 octahedra, edges with two equivalent O(7)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Li(4), one Li(6), one Cr(3), one Mn(1), and one Mn(3) atom to form OLi3Mn2Cr octahedra that share edges with two equivalent O(10)Li3MnCr2 octahedra, edges with two equivalent O(4)Li3MnCr2 octahedra,  an edgeedge with one O(9)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(8)Li3MnCr2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(6), one Li(8), one Cr(3), one Cr(5), and one Mn(2) atom. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(3), one Li(4), one Li(7), one Li(9), one Cr(2), one Mn(1), and one Mn(3) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(3), one Li(5), one Li(7), one Li(9), one Cr(4), one Cr(5), and one Mn(2) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(6), one Li(8), one Cr(1), one Mn(1), and one Mn(3) atom.