Li10Cr3Mn3(CoO8)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(14), one O(15), one O(2), 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(2)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Cr(2)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 4-65°. In the second Li site, Li(2) is bonded in a 4-coordinate geometry to one O(1), one O(12), one O(16), one O(6), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Li(7)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(10), one O(11), one O(14), one O(15), one O(2), and one O(3) atom. In the fifth Li site, Li(5) is bonded in a 4-coordinate geometry to one O(10), one O(11), one O(15), one O(2), one O(7), and one O(8) atom. In the sixth Li site, Li(6) is bonded to one O(12), one O(14), one O(2), one O(4), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Co(1)O6 octahedra. In the seventh Li site, Li(7) is bonded to one O(1), one O(13), one O(16), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-61°. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(1), one O(12), one O(13), one O(16), one O(4), and one O(6) atom. In the ninth Li site, Li(9) is bonded in a 4-coordinate geometry to one O(10), one O(14), one O(15), one O(3), one O(7), and one O(8) atom. In the tenth Li site, Li(10) is bonded in a 5-coordinate geometry to one O(13), one O(16), one O(4), one O(6), and one O(9) atom. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(15), one O(3), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. In the second Cr site, Cr(2) is bonded to one O(10), one O(16), one O(2), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(13), one O(15), one O(3), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(10), one O(12), one O(14), one O(16), one O(2), and one O(4) atom to form distorted MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-56°. In the second Mn site, Mn(2) is bonded to one O(11), one O(13), one O(15), one O(5), one O(6), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(14), one O(16), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 42-54°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(14), one O(2), one O(3), one O(7), and one O(8) atom to form distorted CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  a faceface with one Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-56°. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(13), one O(4), one O(5), and one O(9) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(7), one Li(8), one Cr(1), one Cr(3), and one Co(2) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(6), one Cr(2), one Mn(1), and one Co(1) atom. In the third O site, O(3) is bonded to one Li(3), one Li(4), one Li(9), one Cr(1), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share edges with two equivalent O(11)Li3MnCrCo octahedra, edges with two equivalent O(7)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the fourth O site, O(4) is bonded to one Li(10), one Li(6), one Li(8), one Cr(2), one Mn(1), and one Co(2) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(12)Li3Mn2Co octahedra, edges with two equivalent O(9)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Li(3), one Li(7), one Cr(1), one Mn(2), and one Co(2) atom. In the sixth O site, O(6) is bonded to one Li(10), one Li(2), one Li(8), one Cr(1), one Cr(3), and one Mn(2) atom to form distorted OLi3MnCr2 pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(12)Li3Mn2Co octahedra,  an edgeedge with one O(11)Li3MnCrCo octahedra,  an edgeedge with one O(4)Li3MnCrCo octahedra,  an edgeedge with one O(7)Li3MnCrCo octahedra, and  an edgeedge with one O(9)Li3MnCrCo octahedra. In the seventh O site, O(7) is bonded to one Li(3), one Li(5), one Li(9), one Cr(1), one Mn(2), and one Co(1) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(11)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(6), one Li(9), one Cr(2), one Mn(3), and one Co(1) atom. In the ninth O site, O(9) is bonded to one Li(10), one Li(2), one Li(6), one Cr(2), one Mn(3), and one Co(2) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(12)Li3Mn2Co octahedra, edges with two equivalent O(4)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Li(5), one Li(9), one Cr(2), one Mn(1), and one Mn(3) atom to form distorted OLi3Mn2Cr pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(12)Li3Mn2Co octahedra,  an edgeedge with one O(11)Li3MnCrCo octahedra,  an edgeedge with one O(4)Li3MnCrCo octahedra,  an edgeedge with one O(7)Li3MnCrCo octahedra, and  an edgeedge with one O(9)Li3MnCrCo octahedra. In the eleventh O site, O(11) is bonded to one Li(3), one Li(4), one Li(5), one Cr(3), one Mn(2), and one Co(1) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(6), one Li(8), one Mn(1), one Mn(3), and one Co(2) atom to form OLi3Mn2Co octahedra that share edges with two equivalent O(4)Li3MnCrCo octahedra, edges with two equivalent O(9)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(7), one Li(8), one Cr(3), one Mn(2), and one Co(2) atom. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(6), one Li(9), one Mn(1), one Mn(3), and one Co(1) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(9), one Cr(1), one Cr(3), and one Mn(2) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(7), one Li(8), one Cr(2), one Mn(1), and one Mn(3) atom.
Li10Cr3Mn3(CoO8)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(14), one O(15), one O(2), 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(2)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Cr(2)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 4-65°. The Li(1)-O(14) bond length is 1.85 Å. The Li(1)-O(15) bond length is 1.84 Å. The Li(1)-O(2) bond length is 1.89 Å. The Li(1)-O(8) bond length is 1.85 Å. In the second Li site, Li(2) is bonded in a 4-coordinate geometry to one O(1), one O(12), one O(16), one O(6), and one O(9) atom. The Li(2)-O(1) bond length is 2.48 Å. The Li(2)-O(12) bond length is 1.94 Å. The Li(2)-O(16) bond length is 2.23 Å. The Li(2)-O(6) bond length is 2.10 Å. The Li(2)-O(9) bond length is 1.99 Å. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Li(7)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. The Li(3)-O(1) bond length is 2.20 Å. The Li(3)-O(11) bond length is 2.20 Å. The Li(3)-O(13) bond length is 2.15 Å. The Li(3)-O(3) bond length is 2.13 Å. The Li(3)-O(5) bond length is 2.08 Å. The Li(3)-O(7) bond length is 2.09 Å. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(10), one O(11), one O(14), one O(15), one O(2), and one O(3) atom. The Li(4)-O(10) bond length is 2.03 Å. The Li(4)-O(11) bond length is 2.00 Å. The Li(4)-O(14) bond length is 2.53 Å. The Li(4)-O(15) bond length is 2.29 Å. The Li(4)-O(2) bond length is 2.45 Å. The Li(4)-O(3) bond length is 1.98 Å. In the fifth Li site, Li(5) is bonded in a 4-coordinate geometry to one O(10), one O(11), one O(15), one O(2), one O(7), and one O(8) atom. The Li(5)-O(10) bond length is 2.13 Å. The Li(5)-O(11) bond length is 1.96 Å. The Li(5)-O(15) bond length is 2.16 Å. The Li(5)-O(2) bond length is 2.50 Å. The Li(5)-O(7) bond length is 1.99 Å. The Li(5)-O(8) bond length is 2.47 Å. In the sixth Li site, Li(6) is bonded to one O(12), one O(14), one O(2), one O(4), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Co(1)O6 octahedra. The Li(6)-O(12) bond length is 2.19 Å. The Li(6)-O(14) bond length is 2.12 Å. The Li(6)-O(2) bond length is 2.27 Å. The Li(6)-O(4) bond length is 2.15 Å. The Li(6)-O(8) bond length is 2.06 Å. The Li(6)-O(9) bond length is 2.11 Å. In the seventh Li site, Li(7) is bonded to one O(1), one O(13), one O(16), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-61°. The Li(7)-O(1) bond length is 1.87 Å. The Li(7)-O(13) bond length is 1.86 Å. The Li(7)-O(16) bond length is 1.85 Å. The Li(7)-O(5) bond length is 1.85 Å. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(1), one O(12), one O(13), one O(16), one O(4), and one O(6) atom. The Li(8)-O(1) bond length is 2.45 Å. The Li(8)-O(12) bond length is 1.94 Å. The Li(8)-O(13) bond length is 2.42 Å. The Li(8)-O(16) bond length is 2.40 Å. The Li(8)-O(4) bond length is 2.00 Å. The Li(8)-O(6) bond length is 2.01 Å. In the ninth Li site, Li(9) is bonded in a 4-coordinate geometry to one O(10), one O(14), one O(15), one O(3), one O(7), and one O(8) atom. The Li(9)-O(10) bond length is 2.10 Å. The Li(9)-O(14) bond length is 2.18 Å. The Li(9)-O(15) bond length is 2.46 Å. The Li(9)-O(3) bond length is 2.01 Å. The Li(9)-O(7) bond length is 1.96 Å. The Li(9)-O(8) bond length is 2.59 Å. In the tenth Li site, Li(10) is bonded in a 5-coordinate geometry to one O(13), one O(16), one O(4), one O(6), and one O(9) atom. The Li(10)-O(13) bond length is 2.37 Å. The Li(10)-O(16) bond length is 2.36 Å. The Li(10)-O(4) bond length is 2.00 Å. The Li(10)-O(6) bond length is 2.08 Å. The Li(10)-O(9) bond length is 1.99 Å. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(15), one O(3), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. The Cr(1)-O(1) bond length is 2.06 Å. The Cr(1)-O(15) bond length is 2.04 Å. The Cr(1)-O(3) bond length is 2.05 Å. The Cr(1)-O(5) bond length is 2.06 Å. The Cr(1)-O(6) bond length is 2.04 Å. The Cr(1)-O(7) bond length is 2.04 Å. In the second Cr site, Cr(2) is bonded to one O(10), one O(16), one O(2), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-53°. The Cr(2)-O(10) bond length is 2.04 Å. The Cr(2)-O(16) bond length is 2.04 Å. The Cr(2)-O(2) bond length is 2.06 Å. The Cr(2)-O(4) bond length is 2.04 Å. The Cr(2)-O(8) bond length is 2.06 Å. The Cr(2)-O(9) bond length is 2.06 Å. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(13), one O(15), one O(3), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. The Cr(3)-O(1) bond length is 2.07 Å. The Cr(3)-O(11) bond length is 2.04 Å. The Cr(3)-O(13) bond length is 2.07 Å. The Cr(3)-O(15) bond length is 2.04 Å. The Cr(3)-O(3) bond length is 2.05 Å. The Cr(3)-O(6) 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(14), one O(16), one O(2), and one O(4) atom to form distorted MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-56°. The Mn(1)-O(10) bond length is 1.99 Å. The Mn(1)-O(12) bond length is 2.22 Å. The Mn(1)-O(14) bond length is 2.35 Å. The Mn(1)-O(16) bond length is 1.98 Å. The Mn(1)-O(2) bond length is 1.99 Å. The Mn(1)-O(4) bond length is 1.99 Å. In the second Mn site, Mn(2) is bonded to one O(11), one O(13), one O(15), one O(5), one O(6), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. The Mn(2)-O(11) bond length is 1.97 Å. The Mn(2)-O(13) bond length is 1.98 Å. The Mn(2)-O(15) bond length is 2.23 Å. The Mn(2)-O(5) bond length is 2.05 Å. The Mn(2)-O(6) bond length is 2.21 Å. The Mn(2)-O(7) bond length is 2.02 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(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 42-54°. The Mn(3)-O(10) bond length is 2.29 Å. The Mn(3)-O(12) bond length is 1.96 Å. The Mn(3)-O(14) bond length is 1.97 Å. The Mn(3)-O(16) bond length is 2.28 Å. The Mn(3)-O(8) bond length is 2.02 Å. The Mn(3)-O(9) bond length is 2.00 Å. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(14), one O(2), one O(3), one O(7), and one O(8) atom to form distorted CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  a faceface with one Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-56°. The Co(1)-O(11) bond length is 2.15 Å. The Co(1)-O(14) bond length is 2.16 Å. The Co(1)-O(2) bond length is 2.16 Å. The Co(1)-O(3) bond length is 2.14 Å. The Co(1)-O(7) bond length is 2.15 Å. The Co(1)-O(8) bond length is 2.23 Å. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(13), one O(4), one O(5), and one O(9) atom. The Co(2)-O(1) bond length is 2.12 Å. The Co(2)-O(12) bond length is 2.09 Å. The Co(2)-O(13) bond length is 2.34 Å. The Co(2)-O(4) bond length is 2.19 Å. The Co(2)-O(5) bond length is 2.17 Å. The Co(2)-O(9) bond length is 2.16 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(7), one Li(8), one Cr(1), one Cr(3), and one Co(2) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(6), one Cr(2), one Mn(1), and one Co(1) atom. In the third O site, O(3) is bonded to one Li(3), one Li(4), one Li(9), one Cr(1), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share edges with two equivalent O(11)Li3MnCrCo octahedra, edges with two equivalent O(7)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the fourth O site, O(4) is bonded to one Li(10), one Li(6), one Li(8), one Cr(2), one Mn(1), and one Co(2) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(12)Li3Mn2Co octahedra, edges with two equivalent O(9)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Li(3), one Li(7), one Cr(1), one Mn(2), and one Co(2) atom. In the sixth O site, O(6) is bonded to one Li(10), one Li(2), one Li(8), one Cr(1), one Cr(3), and one Mn(2) atom to form distorted OLi3MnCr2 pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(12)Li3Mn2Co octahedra,  an edgeedge with one O(11)Li3MnCrCo octahedra,  an edgeedge with one O(4)Li3MnCrCo octahedra,  an edgeedge with one O(7)Li3MnCrCo octahedra, and  an edgeedge with one O(9)Li3MnCrCo octahedra. In the seventh O site, O(7) is bonded to one Li(3), one Li(5), one Li(9), one Cr(1), one Mn(2), and one Co(1) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(11)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(6), one Li(9), one Cr(2), one Mn(3), and one Co(1) atom. In the ninth O site, O(9) is bonded to one Li(10), one Li(2), one Li(6), one Cr(2), one Mn(3), and one Co(2) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(12)Li3Mn2Co octahedra, edges with two equivalent O(4)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Li(5), one Li(9), one Cr(2), one Mn(1), and one Mn(3) atom to form distorted OLi3Mn2Cr pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(12)Li3Mn2Co octahedra,  an edgeedge with one O(11)Li3MnCrCo octahedra,  an edgeedge with one O(4)Li3MnCrCo octahedra,  an edgeedge with one O(7)Li3MnCrCo octahedra, and  an edgeedge with one O(9)Li3MnCrCo octahedra. In the eleventh O site, O(11) is bonded to one Li(3), one Li(4), one Li(5), one Cr(3), one Mn(2), and one Co(1) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(6), one Li(8), one Mn(1), one Mn(3), and one Co(2) atom to form OLi3Mn2Co octahedra that share edges with two equivalent O(4)Li3MnCrCo octahedra, edges with two equivalent O(9)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(7), one Li(8), one Cr(3), one Mn(2), and one Co(2) atom. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(6), one Li(9), one Mn(1), one Mn(3), and one Co(1) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(9), one Cr(1), one Cr(3), and one Mn(2) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(7), one Li(8), one Cr(2), one Mn(1), and one Mn(3) atom.