Li4Ti3Mn2Cu3O16 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 Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Cu(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with two equivalent Cu(3)O6 octahedra, and corners with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-67°. 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 trigonal pyramids that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cu(2)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-67°. 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 Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Cu(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cu(2)O6 octahedra, and  an edgeedge with one Cu(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-66°. 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 Ti(3)O6 octahedra,  a cornercorner with one Cu(2)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, and corners with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-67°. There are three inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 46-49°. In the second Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 46-49°. In the third Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cu(2)O6 octahedra, edges with two equivalent Cu(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-46°. There are two inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with two equivalent Cu(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cu(2)O6 octahedra, and  an edgeedge with one Cu(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-55°. There are three inequivalent Cu sites. In the first Cu site, Cu(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 distorted CuO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 55°. In the second Cu site, Cu(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 CuO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cu(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the third Cu site, Cu(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 distorted CuO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cu(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-54°. 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(3), one Mn(1), and one Cu(2) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Ti(2), and one Mn(1) atom to form distorted OLiTi2Mn trigonal pyramids that share corners with two equivalent O(4)LiTi2Cu tetrahedra,  a cornercorner with one O(13)LiTiCu2 trigonal pyramid,  a cornercorner with one O(7)LiTiMnCu trigonal pyramid,  a cornercorner with one O(8)LiTiMnCu trigonal pyramid,  an edgeedge with one O(7)LiTiMnCu trigonal pyramid, and  an edgeedge with one O(8)LiTiMnCu trigonal pyramid. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(1), one Ti(2), and one Cu(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Ti(1), one Ti(2), and one Cu(1) atom to form OLiTi2Cu tetrahedra that share corners with two equivalent O(2)LiTi2Mn trigonal pyramids, corners with two equivalent O(7)LiTiMnCu trigonal pyramids, and corners with two equivalent O(8)LiTiMnCu trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(3), one Cu(2), and one Cu(3) atom to form OLiTiCu2 tetrahedra that share corners with two equivalent O(15)LiMnCu2 tetrahedra and corners with three equivalent O(13)LiTiCu2 trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(3), one Mn(1), and one Cu(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Mn(1), and one Cu(1) atom to form distorted OLiTiMnCu trigonal pyramids that share corners with two equivalent O(4)LiTi2Cu tetrahedra,  a cornercorner with one O(2)LiTi2Mn trigonal pyramid,  a cornercorner with one O(13)LiTiCu2 trigonal pyramid,  a cornercorner with one O(8)LiTiMnCu trigonal pyramid,  an edgeedge with one O(2)LiTi2Mn trigonal pyramid, and  an edgeedge with one O(8)LiTiMnCu trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Ti(2), one Mn(1), and one Cu(1) atom to form distorted OLiTiMnCu trigonal pyramids that share corners with two equivalent O(4)LiTi2Cu tetrahedra,  a cornercorner with one O(2)LiTi2Mn trigonal pyramid,  a cornercorner with one O(13)LiTiCu2 trigonal pyramid,  a cornercorner with one O(7)LiTiMnCu trigonal pyramid,  an edgeedge with one O(2)LiTi2Mn trigonal pyramid, and  an edgeedge with one O(7)LiTiMnCu trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Ti(2), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Mn(1), one Cu(2), and one Cu(3) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(3), one Mn(2), and one Cu(2) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(3), one Mn(2), and one Cu(3) atom. In the thirteenth O site, O(13) is bonded to one Li(4), one Ti(3), one Cu(2), and one Cu(3) atom to form distorted OLiTiCu2 trigonal pyramids that share corners with three equivalent O(5)LiTiCu2 tetrahedra,  a cornercorner with one O(2)LiTi2Mn trigonal pyramid,  a cornercorner with one O(7)LiTiMnCu trigonal pyramid,  a cornercorner with one O(8)LiTiMnCu trigonal pyramid, and  an edgeedge with one O(15)LiMnCu2 tetrahedra. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Mn(2), and one Cu(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Mn(2), one Cu(2), and one Cu(3) atom to form a mixture of distorted corner and edge-sharing OLiMnCu2 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(2), and one Cu(1) atom.
Li4Ti3Mn2Cu3O16 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 Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Cu(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with two equivalent Cu(3)O6 octahedra, and corners with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-67°. The Li(1)-O(11) bond length is 1.96 Å. The Li(1)-O(12) bond length is 1.95 Å. The Li(1)-O(15) bond length is 2.00 Å. The Li(1)-O(3) bond length is 1.99 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 trigonal pyramids that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cu(2)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-67°. The Li(2)-O(14) bond length is 1.97 Å. The Li(2)-O(16) bond length is 1.96 Å. The Li(2)-O(5) bond length is 1.82 Å. The Li(2)-O(9) bond length is 2.14 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 Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Cu(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cu(2)O6 octahedra, and  an edgeedge with one Cu(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-66°. The Li(3)-O(1) bond length is 2.02 Å. The Li(3)-O(10) bond length is 1.94 Å. The Li(3)-O(4) bond length is 1.82 Å. The Li(3)-O(6) bond length is 2.03 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 Ti(3)O6 octahedra,  a cornercorner with one Cu(2)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, and corners with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-67°. The Li(4)-O(13) bond length is 1.97 Å. The Li(4)-O(2) bond length is 2.00 Å. The Li(4)-O(7) bond length is 1.98 Å. The Li(4)-O(8) bond length is 1.98 Å. There are three inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 46-49°. The Ti(1)-O(14) bond length is 1.97 Å. The Ti(1)-O(2) bond length is 2.01 Å. The Ti(1)-O(3) bond length is 1.96 Å. The Ti(1)-O(4) bond length is 1.95 Å. The Ti(1)-O(7) bond length is 1.96 Å. The Ti(1)-O(9) bond length is 2.01 Å. In the second Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 46-49°. The Ti(2)-O(16) bond length is 1.98 Å. The Ti(2)-O(2) bond length is 2.02 Å. The Ti(2)-O(3) bond length is 1.96 Å. The Ti(2)-O(4) bond length is 1.95 Å. The Ti(2)-O(8) bond length is 1.96 Å. The Ti(2)-O(9) bond length is 2.00 Å. In the third Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cu(2)O6 octahedra, edges with two equivalent Cu(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-46°. The Ti(3)-O(1) bond length is 1.99 Å. The Ti(3)-O(11) bond length is 1.99 Å. The Ti(3)-O(12) bond length is 1.96 Å. The Ti(3)-O(13) bond length is 1.98 Å. The Ti(3)-O(5) bond length is 1.98 Å. The Ti(3)-O(6) bond length is 1.98 Å. There are two inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with two equivalent Cu(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. The Mn(1)-O(1) bond length is 2.00 Å. The Mn(1)-O(10) bond length is 1.94 Å. The Mn(1)-O(2) bond length is 2.04 Å. The Mn(1)-O(6) bond length is 1.97 Å. The Mn(1)-O(7) bond length is 1.96 Å. The Mn(1)-O(8) bond length is 1.96 Å. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cu(2)O6 octahedra, and  an edgeedge with one Cu(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-55°. The Mn(2)-O(11) bond length is 1.94 Å. The Mn(2)-O(12) bond length is 1.93 Å. The Mn(2)-O(14) bond length is 1.97 Å. The Mn(2)-O(15) bond length is 1.96 Å. The Mn(2)-O(16) bond length is 1.96 Å. The Mn(2)-O(9) bond length is 2.10 Å. There are three inequivalent Cu sites. In the first Cu site, Cu(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 distorted CuO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 55°. The Cu(1)-O(14) bond length is 2.16 Å. The Cu(1)-O(16) bond length is 2.15 Å. The Cu(1)-O(3) bond length is 1.94 Å. The Cu(1)-O(4) bond length is 1.93 Å. The Cu(1)-O(7) bond length is 2.18 Å. The Cu(1)-O(8) bond length is 2.18 Å. In the second Cu site, Cu(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 CuO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cu(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. The Cu(2)-O(1) bond length is 2.16 Å. The Cu(2)-O(10) bond length is 2.03 Å. The Cu(2)-O(11) bond length is 2.18 Å. The Cu(2)-O(13) bond length is 1.93 Å. The Cu(2)-O(15) bond length is 2.02 Å. The Cu(2)-O(5) bond length is 1.92 Å. In the third Cu site, Cu(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 distorted CuO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cu(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-54°. The Cu(3)-O(10) bond length is 2.01 Å. The Cu(3)-O(12) bond length is 2.25 Å. The Cu(3)-O(13) bond length is 1.89 Å. The Cu(3)-O(15) bond length is 2.04 Å. The Cu(3)-O(5) bond length is 1.88 Å. The Cu(3)-O(6) bond length is 2.20 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(3), one Mn(1), and one Cu(2) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Ti(2), and one Mn(1) atom to form distorted OLiTi2Mn trigonal pyramids that share corners with two equivalent O(4)LiTi2Cu tetrahedra,  a cornercorner with one O(13)LiTiCu2 trigonal pyramid,  a cornercorner with one O(7)LiTiMnCu trigonal pyramid,  a cornercorner with one O(8)LiTiMnCu trigonal pyramid,  an edgeedge with one O(7)LiTiMnCu trigonal pyramid, and  an edgeedge with one O(8)LiTiMnCu trigonal pyramid. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(1), one Ti(2), and one Cu(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Ti(1), one Ti(2), and one Cu(1) atom to form OLiTi2Cu tetrahedra that share corners with two equivalent O(2)LiTi2Mn trigonal pyramids, corners with two equivalent O(7)LiTiMnCu trigonal pyramids, and corners with two equivalent O(8)LiTiMnCu trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(3), one Cu(2), and one Cu(3) atom to form OLiTiCu2 tetrahedra that share corners with two equivalent O(15)LiMnCu2 tetrahedra and corners with three equivalent O(13)LiTiCu2 trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(3), one Mn(1), and one Cu(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Mn(1), and one Cu(1) atom to form distorted OLiTiMnCu trigonal pyramids that share corners with two equivalent O(4)LiTi2Cu tetrahedra,  a cornercorner with one O(2)LiTi2Mn trigonal pyramid,  a cornercorner with one O(13)LiTiCu2 trigonal pyramid,  a cornercorner with one O(8)LiTiMnCu trigonal pyramid,  an edgeedge with one O(2)LiTi2Mn trigonal pyramid, and  an edgeedge with one O(8)LiTiMnCu trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Ti(2), one Mn(1), and one Cu(1) atom to form distorted OLiTiMnCu trigonal pyramids that share corners with two equivalent O(4)LiTi2Cu tetrahedra,  a cornercorner with one O(2)LiTi2Mn trigonal pyramid,  a cornercorner with one O(13)LiTiCu2 trigonal pyramid,  a cornercorner with one O(7)LiTiMnCu trigonal pyramid,  an edgeedge with one O(2)LiTi2Mn trigonal pyramid, and  an edgeedge with one O(7)LiTiMnCu trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Ti(2), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Mn(1), one Cu(2), and one Cu(3) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(3), one Mn(2), and one Cu(2) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(3), one Mn(2), and one Cu(3) atom. In the thirteenth O site, O(13) is bonded to one Li(4), one Ti(3), one Cu(2), and one Cu(3) atom to form distorted OLiTiCu2 trigonal pyramids that share corners with three equivalent O(5)LiTiCu2 tetrahedra,  a cornercorner with one O(2)LiTi2Mn trigonal pyramid,  a cornercorner with one O(7)LiTiMnCu trigonal pyramid,  a cornercorner with one O(8)LiTiMnCu trigonal pyramid, and  an edgeedge with one O(15)LiMnCu2 tetrahedra. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Mn(2), and one Cu(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Mn(2), one Cu(2), and one Cu(3) atom to form a mixture of distorted corner and edge-sharing OLiMnCu2 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(2), and one Cu(1) atom.