Li4Ti2Mn3Co3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-70°. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-68°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. In the second Ti site, Ti(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form distorted TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-49°. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Co site, Co(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. In the third Co site, Co(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-54°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(2), and one Co(3) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Co(1), and one Co(2) atom to form distorted OLiTiCo2 tetrahedra that share  a cornercorner with one O(8)LiTiMnCo tetrahedra, corners with two equivalent O(4)LiMnCo2 tetrahedra, and  an edgeedge with one O(8)LiTiMnCo tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), one Co(1), and one Co(2) atom to form OLiMnCo2 tetrahedra that share corners with two equivalent O(2)LiTiCo2 tetrahedra and corners with two equivalent O(8)LiTiMnCo tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Mn(2), one Mn(3), and one Co(3) atom to form OLiMn2Co tetrahedra that share corners with two equivalent O(15)LiTiMn2 tetrahedra, corners with two equivalent O(11)LiTiMnCo tetrahedra, and corners with two equivalent O(12)LiTiMnCo tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(3), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(1), one Mn(1), and one Co(1) atom. In the eighth O site, O(8) is bonded to one Li(4), one Ti(1), one Mn(1), and one Co(2) atom to form distorted OLiTiMnCo tetrahedra that share  a cornercorner with one O(2)LiTiCo2 tetrahedra, corners with two equivalent O(4)LiMnCo2 tetrahedra, and  an edgeedge with one O(2)LiTiCo2 tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Co(1), and one Co(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(2), and one Mn(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(2), one Mn(2), and one Co(3) atom to form distorted OLiTiMnCo tetrahedra that share  a cornercorner with one O(15)LiTiMn2 tetrahedra,  a cornercorner with one O(12)LiTiMnCo tetrahedra, corners with two equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(15)LiTiMn2 tetrahedra, and  an edgeedge with one O(12)LiTiMnCo tetrahedra. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(2), one Mn(3), and one Co(3) atom to form distorted OLiTiMnCo tetrahedra that share  a cornercorner with one O(15)LiTiMn2 tetrahedra,  a cornercorner with one O(11)LiTiMnCo tetrahedra, corners with two equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(15)LiTiMn2 tetrahedra, and  an edgeedge with one O(11)LiTiMnCo tetrahedra. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Mn(2), one Mn(3), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Mn(1), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(2), one Mn(2), and one Mn(3) atom to form distorted OLiTiMn2 tetrahedra that share  a cornercorner with one O(11)LiTiMnCo tetrahedra,  a cornercorner with one O(12)LiTiMnCo tetrahedra, corners with two equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(11)LiTiMnCo tetrahedra, and  an edgeedge with one O(12)LiTiMnCo tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Mn(1), and one Co(2) atom.
Li4Ti2Mn3Co3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. The Li(1)-O(11) bond length is 1.98 Å. The Li(1)-O(12) bond length is 1.96 Å. The Li(1)-O(15) bond length is 2.00 Å. The Li(1)-O(3) bond length is 1.98 Å. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-70°. The Li(2)-O(14) bond length is 1.96 Å. The Li(2)-O(16) bond length is 1.97 Å. The Li(2)-O(5) bond length is 1.80 Å. The Li(2)-O(9) bond length is 1.96 Å. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-68°. The Li(3)-O(1) bond length is 1.95 Å. The Li(3)-O(10) bond length is 1.98 Å. The Li(3)-O(4) bond length is 1.79 Å. The Li(3)-O(6) bond length is 1.97 Å. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. The Li(4)-O(13) bond length is 2.02 Å. The Li(4)-O(2) bond length is 1.96 Å. The Li(4)-O(7) bond length is 2.01 Å. The Li(4)-O(8) bond length is 1.98 Å. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. The Ti(1)-O(1) bond length is 1.94 Å. The Ti(1)-O(10) bond length is 1.90 Å. The Ti(1)-O(2) bond length is 2.15 Å. The Ti(1)-O(6) bond length is 1.93 Å. The Ti(1)-O(7) bond length is 2.08 Å. The Ti(1)-O(8) bond length is 2.10 Å. In the second Ti site, Ti(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form distorted TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. The Ti(2)-O(11) bond length is 2.11 Å. The Ti(2)-O(12) bond length is 2.19 Å. The Ti(2)-O(14) bond length is 1.92 Å. The Ti(2)-O(15) bond length is 2.04 Å. The Ti(2)-O(16) bond length is 1.93 Å. The Ti(2)-O(9) bond length is 1.94 Å. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. The Mn(1)-O(14) bond length is 2.01 Å. The Mn(1)-O(16) bond length is 2.04 Å. The Mn(1)-O(3) bond length is 1.89 Å. The Mn(1)-O(4) bond length is 1.89 Å. The Mn(1)-O(7) bond length is 1.92 Å. The Mn(1)-O(8) bond length is 1.91 Å. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-49°. The Mn(2)-O(1) bond length is 2.04 Å. The Mn(2)-O(10) bond length is 1.99 Å. The Mn(2)-O(11) bond length is 1.90 Å. The Mn(2)-O(13) bond length is 1.91 Å. The Mn(2)-O(15) bond length is 1.91 Å. The Mn(2)-O(5) bond length is 1.91 Å. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. The Mn(3)-O(10) bond length is 2.21 Å. The Mn(3)-O(12) bond length is 1.99 Å. The Mn(3)-O(13) bond length is 1.92 Å. The Mn(3)-O(15) bond length is 2.16 Å. The Mn(3)-O(5) bond length is 1.92 Å. The Mn(3)-O(6) bond length is 2.03 Å. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-53°. The Co(1)-O(14) bond length is 2.11 Å. The Co(1)-O(2) bond length is 1.94 Å. The Co(1)-O(3) bond length is 1.99 Å. The Co(1)-O(4) bond length is 1.96 Å. The Co(1)-O(7) bond length is 2.06 Å. The Co(1)-O(9) bond length is 2.10 Å. In the second Co site, Co(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. The Co(2)-O(16) bond length is 2.13 Å. The Co(2)-O(2) bond length is 1.96 Å. The Co(2)-O(3) bond length is 1.99 Å. The Co(2)-O(4) bond length is 1.97 Å. The Co(2)-O(8) bond length is 2.05 Å. The Co(2)-O(9) bond length is 2.05 Å. In the third Co site, Co(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-54°. The Co(3)-O(1) bond length is 2.12 Å. The Co(3)-O(11) bond length is 2.07 Å. The Co(3)-O(12) bond length is 1.88 Å. The Co(3)-O(13) bond length is 2.01 Å. The Co(3)-O(5) bond length is 2.00 Å. The Co(3)-O(6) bond length is 2.10 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(2), and one Co(3) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Co(1), and one Co(2) atom to form distorted OLiTiCo2 tetrahedra that share  a cornercorner with one O(8)LiTiMnCo tetrahedra, corners with two equivalent O(4)LiMnCo2 tetrahedra, and  an edgeedge with one O(8)LiTiMnCo tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), one Co(1), and one Co(2) atom to form OLiMnCo2 tetrahedra that share corners with two equivalent O(2)LiTiCo2 tetrahedra and corners with two equivalent O(8)LiTiMnCo tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Mn(2), one Mn(3), and one Co(3) atom to form OLiMn2Co tetrahedra that share corners with two equivalent O(15)LiTiMn2 tetrahedra, corners with two equivalent O(11)LiTiMnCo tetrahedra, and corners with two equivalent O(12)LiTiMnCo tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(3), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(1), one Mn(1), and one Co(1) atom. In the eighth O site, O(8) is bonded to one Li(4), one Ti(1), one Mn(1), and one Co(2) atom to form distorted OLiTiMnCo tetrahedra that share  a cornercorner with one O(2)LiTiCo2 tetrahedra, corners with two equivalent O(4)LiMnCo2 tetrahedra, and  an edgeedge with one O(2)LiTiCo2 tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Co(1), and one Co(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(2), and one Mn(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(2), one Mn(2), and one Co(3) atom to form distorted OLiTiMnCo tetrahedra that share  a cornercorner with one O(15)LiTiMn2 tetrahedra,  a cornercorner with one O(12)LiTiMnCo tetrahedra, corners with two equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(15)LiTiMn2 tetrahedra, and  an edgeedge with one O(12)LiTiMnCo tetrahedra. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(2), one Mn(3), and one Co(3) atom to form distorted OLiTiMnCo tetrahedra that share  a cornercorner with one O(15)LiTiMn2 tetrahedra,  a cornercorner with one O(11)LiTiMnCo tetrahedra, corners with two equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(15)LiTiMn2 tetrahedra, and  an edgeedge with one O(11)LiTiMnCo tetrahedra. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Mn(2), one Mn(3), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Mn(1), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(2), one Mn(2), and one Mn(3) atom to form distorted OLiTiMn2 tetrahedra that share  a cornercorner with one O(11)LiTiMnCo tetrahedra,  a cornercorner with one O(12)LiTiMnCo tetrahedra, corners with two equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(11)LiTiMnCo tetrahedra, and  an edgeedge with one O(12)LiTiMnCo tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Mn(1), and one Co(2) atom.