Li10Cr3Mn3(FeO8)2 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(14), one O(15), one O(3), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Fe(2)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-12°. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(11), one O(15), one O(16), one O(5), one O(7), and one O(9) atom. In the third Li site, Li(3) is bonded in a 3-coordinate geometry to one O(11), one O(12), one O(14), one O(15), one O(5), and one O(7) atom. In the fourth Li site, Li(4) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(14), one O(5), and one O(9) atom. In the fifth Li site, Li(5) is bonded in a 4-coordinate geometry to one O(1), one O(10), one O(13), one O(4), and one O(6) atom. In the sixth Li site, Li(6) is bonded to one O(12), one O(16), one O(2), one O(4), one O(6), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Fe(1)O6 octahedra, corners with three equivalent Li(8)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-12°. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(13), one O(2), one O(6), and one O(8) atom. In the eighth Li site, Li(8) is bonded to one O(11), one O(12), one O(16), and one O(7) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-64°. In the ninth Li site, Li(9) is bonded to one O(1), one O(10), one O(3), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-65°. In the tenth Li site, Li(10) is bonded in a 3-coordinate geometry to one O(10), one O(13), one O(2), one O(3), one O(4), and one O(8) atom. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(10), one O(16), one O(2), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(8)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-52°. In the second Cr site, Cr(2) is bonded to one O(1), one O(11), one O(13), one O(14), one O(3), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mn(2)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 50-56°. In the third Cr site, Cr(3) is bonded to one O(10), one O(12), one O(2), one O(4), one O(5), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(8)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(10), one O(12), one O(16), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(8)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the second Mn site, Mn(2) is bonded to one O(1), one O(11), one O(13), one O(15), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(2)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 43-53°. In the third Mn site, Mn(3) is bonded to one O(11), one O(13), one O(14), one O(15), one O(3), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-55°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form distorted FeO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  a faceface with one Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-56°. In the second Fe site, Fe(2) is bonded to one O(12), one O(14), one O(15), one O(16), one O(7), and one O(9) atom to form distorted FeO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(8)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  a faceface with one Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-52°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(7), one Li(9), one Cr(2), one Mn(2), and one Fe(1) atom. In the second O site, O(2) is bonded to one Li(10), one Li(6), one Li(7), one Cr(1), one Cr(3), and one Fe(1) atom to form OLi3Cr2Fe octahedra that share edges with two equivalent O(4)Li3MnCrFe octahedra, edges with two equivalent O(6)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the third O site, O(3) is bonded in a 6-coordinate geometry to one Li(1), one Li(10), one Li(9), one Cr(2), one Mn(3), and one Fe(1) atom. In the fourth O site, O(4) is bonded to one Li(10), one Li(5), one Li(6), one Cr(3), one Mn(1), and one Fe(1) atom to form OLi3MnCrFe octahedra that share edges with two equivalent O(2)Li3Cr2Fe octahedra, edges with two equivalent O(6)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Cr(3), and one Mn(1) atom to form distorted OLi3MnCr2 pentagonal pyramids that share  an edgeedge with one O(2)Li3Cr2Fe octahedra,  an edgeedge with one O(15)Li3Mn2Fe octahedra,  an edgeedge with one O(14)Li3MnCrFe octahedra,  an edgeedge with one O(4)Li3MnCrFe octahedra,  an edgeedge with one O(6)Li3MnCrFe octahedra, and  an edgeedge with one O(9)Li3MnCrFe octahedra. In the sixth O site, O(6) is bonded to one Li(5), one Li(6), one Li(7), one Cr(1), one Mn(1), and one Fe(1) atom to form OLi3MnCrFe octahedra that share edges with two equivalent O(2)Li3Cr2Fe octahedra, edges with two equivalent O(4)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the seventh O site, O(7) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(6), one Li(8), one Cr(1), one Cr(3), and one Fe(2) atom. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(7), one Li(9), one Mn(2), one Mn(3), and one Fe(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Li(2), one Li(4), one Cr(2), one Mn(2), and one Fe(2) atom to form OLi3MnCrFe octahedra that share edges with two equivalent O(15)Li3Mn2Fe octahedra, edges with two equivalent O(14)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(10), one Li(5), one Li(7), one Li(9), one Cr(1), one Cr(3), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(4), one Li(8), one Cr(2), one Mn(2), and one Mn(3) atom. In the twelfth O site, O(12) is bonded in a 7-coordinate geometry to one Li(3), one Li(4), one Li(6), one Li(8), one Cr(3), one Mn(1), and one Fe(2) atom. In the thirteenth O site, O(13) is bonded to one Li(10), one Li(5), one Li(7), one Cr(2), one Mn(2), and one Mn(3) atom to form distorted OLi3Mn2Cr pentagonal pyramids that share  an edgeedge with one O(2)Li3Cr2Fe octahedra,  an edgeedge with one O(15)Li3Mn2Fe octahedra,  an edgeedge with one O(14)Li3MnCrFe octahedra,  an edgeedge with one O(4)Li3MnCrFe octahedra,  an edgeedge with one O(6)Li3MnCrFe octahedra, and  an edgeedge with one O(9)Li3MnCrFe octahedra. In the fourteenth O site, O(14) is bonded to one Li(1), one Li(3), one Li(4), one Cr(2), one Mn(3), and one Fe(2) atom to form OLi3MnCrFe octahedra that share edges with two equivalent O(15)Li3Mn2Fe octahedra, edges with two equivalent O(9)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(2), one Li(3), one Mn(2), one Mn(3), and one Fe(2) atom to form OLi3Mn2Fe octahedra that share edges with two equivalent O(14)Li3MnCrFe octahedra, edges with two equivalent O(9)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the sixteenth O site, O(16) is bonded in a 6-coordinate geometry to one Li(2), one Li(6), one Li(8), one Cr(1), one Mn(1), and one Fe(2) atom.
Li10Cr3Mn3(FeO8)2 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(14), one O(15), one O(3), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Fe(2)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-12°. The Li(1)-O(1) bond length is 2.06 Å. The Li(1)-O(14) bond length is 2.13 Å. The Li(1)-O(15) bond length is 2.12 Å. The Li(1)-O(3) bond length is 2.31 Å. The Li(1)-O(8) bond length is 2.22 Å. The Li(1)-O(9) bond length is 2.12 Å. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(11), one O(15), one O(16), one O(5), one O(7), and one O(9) atom. The Li(2)-O(11) bond length is 2.23 Å. The Li(2)-O(15) bond length is 1.96 Å. The Li(2)-O(16) bond length is 2.40 Å. The Li(2)-O(5) bond length is 2.12 Å. The Li(2)-O(7) bond length is 2.57 Å. The Li(2)-O(9) bond length is 2.00 Å. In the third Li site, Li(3) is bonded in a 3-coordinate geometry to one O(11), one O(12), one O(14), one O(15), one O(5), and one O(7) atom. The Li(3)-O(11) bond length is 2.51 Å. The Li(3)-O(12) bond length is 2.36 Å. The Li(3)-O(14) bond length is 2.01 Å. The Li(3)-O(15) bond length is 1.94 Å. The Li(3)-O(5) bond length is 2.00 Å. The Li(3)-O(7) bond length is 2.49 Å. In the fourth Li site, Li(4) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(14), one O(5), and one O(9) atom. The Li(4)-O(11) bond length is 2.28 Å. The Li(4)-O(12) bond length is 2.47 Å. The Li(4)-O(14) bond length is 2.02 Å. The Li(4)-O(5) bond length is 2.09 Å. The Li(4)-O(9) bond length is 2.02 Å. In the fifth Li site, Li(5) is bonded in a 4-coordinate geometry to one O(1), one O(10), one O(13), one O(4), and one O(6) atom. The Li(5)-O(1) bond length is 2.51 Å. The Li(5)-O(10) bond length is 2.08 Å. The Li(5)-O(13) bond length is 2.12 Å. The Li(5)-O(4) bond length is 1.97 Å. The Li(5)-O(6) bond length is 2.03 Å. In the sixth Li site, Li(6) is bonded to one O(12), one O(16), one O(2), one O(4), one O(6), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Fe(1)O6 octahedra, corners with three equivalent Li(8)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-12°. The Li(6)-O(12) bond length is 2.16 Å. The Li(6)-O(16) bond length is 2.09 Å. The Li(6)-O(2) bond length is 2.09 Å. The Li(6)-O(4) bond length is 2.20 Å. The Li(6)-O(6) bond length is 2.08 Å. The Li(6)-O(7) bond length is 2.27 Å. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(13), one O(2), one O(6), and one O(8) atom. The Li(7)-O(1) bond length is 2.54 Å. The Li(7)-O(10) bond length is 2.48 Å. The Li(7)-O(13) bond length is 2.10 Å. The Li(7)-O(2) bond length is 2.05 Å. The Li(7)-O(6) bond length is 1.98 Å. The Li(7)-O(8) bond length is 2.25 Å. In the eighth Li site, Li(8) is bonded to one O(11), one O(12), one O(16), and one O(7) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-64°. The Li(8)-O(11) bond length is 1.86 Å. The Li(8)-O(12) bond length is 1.87 Å. The Li(8)-O(16) bond length is 1.85 Å. The Li(8)-O(7) bond length is 1.87 Å. In the ninth Li site, Li(9) is bonded to one O(1), one O(10), one O(3), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-65°. The Li(9)-O(1) bond length is 1.85 Å. The Li(9)-O(10) bond length is 1.85 Å. The Li(9)-O(3) bond length is 1.89 Å. The Li(9)-O(8) bond length is 1.86 Å. In the tenth Li site, Li(10) is bonded in a 3-coordinate geometry to one O(10), one O(13), one O(2), one O(3), one O(4), and one O(8) atom. The Li(10)-O(10) bond length is 2.40 Å. The Li(10)-O(13) bond length is 2.06 Å. The Li(10)-O(2) bond length is 1.98 Å. The Li(10)-O(3) bond length is 2.38 Å. The Li(10)-O(4) bond length is 2.01 Å. The Li(10)-O(8) bond length is 2.55 Å. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(10), one O(16), one O(2), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(8)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-52°. The Cr(1)-O(10) bond length is 2.05 Å. The Cr(1)-O(16) bond length is 2.06 Å. The Cr(1)-O(2) bond length is 2.08 Å. The Cr(1)-O(5) bond length is 2.06 Å. The Cr(1)-O(6) bond length is 2.03 Å. The Cr(1)-O(7) bond length is 2.05 Å. In the second Cr site, Cr(2) is bonded to one O(1), one O(11), one O(13), one O(14), one O(3), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mn(2)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 50-56°. The Cr(2)-O(1) bond length is 2.06 Å. The Cr(2)-O(11) bond length is 2.06 Å. The Cr(2)-O(13) bond length is 2.06 Å. The Cr(2)-O(14) bond length is 2.06 Å. The Cr(2)-O(3) bond length is 2.06 Å. The Cr(2)-O(9) bond length is 2.07 Å. In the third Cr site, Cr(3) is bonded to one O(10), one O(12), one O(2), one O(4), one O(5), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(8)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. The Cr(3)-O(10) bond length is 2.04 Å. The Cr(3)-O(12) bond length is 2.06 Å. The Cr(3)-O(2) bond length is 2.06 Å. The Cr(3)-O(4) bond length is 2.05 Å. The Cr(3)-O(5) bond length is 2.06 Å. The Cr(3)-O(7) bond length is 2.05 Å. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(10), one O(12), one O(16), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(8)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. The Mn(1)-O(10) bond length is 2.24 Å. The Mn(1)-O(12) bond length is 1.99 Å. The Mn(1)-O(16) bond length is 2.04 Å. The Mn(1)-O(4) bond length is 1.97 Å. The Mn(1)-O(5) bond length is 2.25 Å. The Mn(1)-O(6) bond length is 2.01 Å. In the second Mn site, Mn(2) is bonded to one O(1), one O(11), one O(13), one O(15), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(2)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 43-53°. The Mn(2)-O(1) bond length is 2.00 Å. The Mn(2)-O(11) bond length is 2.29 Å. The Mn(2)-O(13) bond length is 2.32 Å. The Mn(2)-O(15) bond length is 1.95 Å. The Mn(2)-O(8) bond length is 1.98 Å. The Mn(2)-O(9) bond length is 2.00 Å. In the third Mn site, Mn(3) is bonded to one O(11), one O(13), one O(14), one O(15), one O(3), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(8)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-55°. The Mn(3)-O(11) bond length is 1.98 Å. The Mn(3)-O(13) bond length is 1.99 Å. The Mn(3)-O(14) bond length is 1.99 Å. The Mn(3)-O(15) bond length is 2.25 Å. The Mn(3)-O(3) bond length is 1.98 Å. The Mn(3)-O(8) bond length is 2.36 Å. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form distorted FeO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  a faceface with one Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-56°. The Fe(1)-O(1) bond length is 2.35 Å. The Fe(1)-O(2) bond length is 2.15 Å. The Fe(1)-O(3) bond length is 2.18 Å. The Fe(1)-O(4) bond length is 2.19 Å. The Fe(1)-O(6) bond length is 2.22 Å. The Fe(1)-O(8) bond length is 2.11 Å. In the second Fe site, Fe(2) is bonded to one O(12), one O(14), one O(15), one O(16), one O(7), and one O(9) atom to form distorted FeO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(8)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  a faceface with one Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-52°. The Fe(2)-O(12) bond length is 2.36 Å. The Fe(2)-O(14) bond length is 2.23 Å. The Fe(2)-O(15) bond length is 2.10 Å. The Fe(2)-O(16) bond length is 2.26 Å. The Fe(2)-O(7) bond length is 2.09 Å. The Fe(2)-O(9) bond length is 2.22 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(7), one Li(9), one Cr(2), one Mn(2), and one Fe(1) atom. In the second O site, O(2) is bonded to one Li(10), one Li(6), one Li(7), one Cr(1), one Cr(3), and one Fe(1) atom to form OLi3Cr2Fe octahedra that share edges with two equivalent O(4)Li3MnCrFe octahedra, edges with two equivalent O(6)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the third O site, O(3) is bonded in a 6-coordinate geometry to one Li(1), one Li(10), one Li(9), one Cr(2), one Mn(3), and one Fe(1) atom. In the fourth O site, O(4) is bonded to one Li(10), one Li(5), one Li(6), one Cr(3), one Mn(1), and one Fe(1) atom to form OLi3MnCrFe octahedra that share edges with two equivalent O(2)Li3Cr2Fe octahedra, edges with two equivalent O(6)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Cr(3), and one Mn(1) atom to form distorted OLi3MnCr2 pentagonal pyramids that share  an edgeedge with one O(2)Li3Cr2Fe octahedra,  an edgeedge with one O(15)Li3Mn2Fe octahedra,  an edgeedge with one O(14)Li3MnCrFe octahedra,  an edgeedge with one O(4)Li3MnCrFe octahedra,  an edgeedge with one O(6)Li3MnCrFe octahedra, and  an edgeedge with one O(9)Li3MnCrFe octahedra. In the sixth O site, O(6) is bonded to one Li(5), one Li(6), one Li(7), one Cr(1), one Mn(1), and one Fe(1) atom to form OLi3MnCrFe octahedra that share edges with two equivalent O(2)Li3Cr2Fe octahedra, edges with two equivalent O(4)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the seventh O site, O(7) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(6), one Li(8), one Cr(1), one Cr(3), and one Fe(2) atom. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(7), one Li(9), one Mn(2), one Mn(3), and one Fe(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Li(2), one Li(4), one Cr(2), one Mn(2), and one Fe(2) atom to form OLi3MnCrFe octahedra that share edges with two equivalent O(15)Li3Mn2Fe octahedra, edges with two equivalent O(14)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(10), one Li(5), one Li(7), one Li(9), one Cr(1), one Cr(3), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(4), one Li(8), one Cr(2), one Mn(2), and one Mn(3) atom. In the twelfth O site, O(12) is bonded in a 7-coordinate geometry to one Li(3), one Li(4), one Li(6), one Li(8), one Cr(3), one Mn(1), and one Fe(2) atom. In the thirteenth O site, O(13) is bonded to one Li(10), one Li(5), one Li(7), one Cr(2), one Mn(2), and one Mn(3) atom to form distorted OLi3Mn2Cr pentagonal pyramids that share  an edgeedge with one O(2)Li3Cr2Fe octahedra,  an edgeedge with one O(15)Li3Mn2Fe octahedra,  an edgeedge with one O(14)Li3MnCrFe octahedra,  an edgeedge with one O(4)Li3MnCrFe octahedra,  an edgeedge with one O(6)Li3MnCrFe octahedra, and  an edgeedge with one O(9)Li3MnCrFe octahedra. In the fourteenth O site, O(14) is bonded to one Li(1), one Li(3), one Li(4), one Cr(2), one Mn(3), and one Fe(2) atom to form OLi3MnCrFe octahedra that share edges with two equivalent O(15)Li3Mn2Fe octahedra, edges with two equivalent O(9)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(2), one Li(3), one Mn(2), one Mn(3), and one Fe(2) atom to form OLi3Mn2Fe octahedra that share edges with two equivalent O(14)Li3MnCrFe octahedra, edges with two equivalent O(9)Li3MnCrFe octahedra,  an edgeedge with one O(13)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(5)Li3MnCr2 pentagonal pyramid. In the sixteenth O site, O(16) is bonded in a 6-coordinate geometry to one Li(2), one Li(6), one Li(8), one Cr(1), one Mn(1), and one Fe(2) atom.