Li4Cr3Mn3(CuO8)2 is Spinel-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 Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, and corners with three equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. 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 Cr(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Cu(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-65°. In the third Li site, Li(3) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. 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 Cr(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and corners with three equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. There are three inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cu(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-52°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cu(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. In the third Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Cu(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 Cu(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. 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 Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cu(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. 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 Cu(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 Cu(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. 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 Cu(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 Cu(2)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 are 52°. There are two inequivalent Cu sites. In the first Cu site, Cu(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 CuO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. In the second Cu site, Cu(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 CuO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(3)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 51-53°. 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 Cr(3), one Mn(2), and one Cu(1) atom. In the second O site, O(2) is bonded to one Li(4), one Cr(1), one Cr(2), and one Cu(1) atom to form distorted OLiCr2Cu tetrahedra that share  a cornercorner with one O(7)LiMnCrCu tetrahedra,  a cornercorner with one O(8)LiMnCrCu tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(13)LiMn2Cr trigonal pyramid,  an edgeedge with one O(7)LiMnCrCu tetrahedra,  an edgeedge with one O(8)LiMnCrCu tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Cr(1), one Cr(2), and one Mn(1) atom to form distorted OLiMnCr2 trigonal pyramids that share  a cornercorner with one O(15)LiMn2Cu tetrahedra,  a cornercorner with one O(11)LiMnCrCu tetrahedra,  a cornercorner with one O(12)LiMnCrCu tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiCr2Cu tetrahedra,  an edgeedge with one O(7)LiMnCrCu tetrahedra, and  an edgeedge with one O(8)LiMnCrCu tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Mn(1) atom to form distorted OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiCr2Cu tetrahedra, corners with two equivalent O(7)LiMnCrCu tetrahedra, corners with two equivalent O(8)LiMnCrCu tetrahedra, and corners with three equivalent O(3)LiMnCr2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Mn(2), and one Mn(3) atom to form distorted OLiMn2Cr tetrahedra that share corners with two equivalent O(15)LiMn2Cu tetrahedra, corners with two equivalent O(11)LiMnCrCu tetrahedra, corners with two equivalent O(12)LiMnCrCu tetrahedra, and corners with three equivalent O(13)LiMn2Cr trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(3), and one Cu(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Mn(1), and one Cu(1) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(2)LiCr2Cu tetrahedra,  a cornercorner with one O(8)LiMnCrCu tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(13)LiMn2Cr trigonal pyramid,  an edgeedge with one O(2)LiCr2Cu tetrahedra,  an edgeedge with one O(8)LiMnCrCu tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Cr(2), one Mn(1), and one Cu(1) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(2)LiCr2Cu tetrahedra,  a cornercorner with one O(7)LiMnCrCu tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(13)LiMn2Cr trigonal pyramid,  an edgeedge with one O(2)LiCr2Cu tetrahedra,  an edgeedge with one O(7)LiMnCrCu tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(2), and one Cu(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Mn(2), one Mn(3), and one Cu(1) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(3), one Mn(2), and one Cu(2) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(15)LiMn2Cu tetrahedra,  a cornercorner with one O(12)LiMnCrCu tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(15)LiMn2Cu tetrahedra,  an edgeedge with one O(12)LiMnCrCu tetrahedra, and  an edgeedge with one O(13)LiMn2Cr trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(3), one Mn(3), and one Cu(2) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(15)LiMn2Cu tetrahedra,  a cornercorner with one O(11)LiMnCrCu tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(15)LiMn2Cu tetrahedra,  an edgeedge with one O(11)LiMnCrCu tetrahedra, and  an edgeedge with one O(13)LiMn2Cr trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one Cr(3), one Mn(2), and one Mn(3) atom to form distorted OLiMn2Cr trigonal pyramids that share  a cornercorner with one O(2)LiCr2Cu tetrahedra,  a cornercorner with one O(7)LiMnCrCu tetrahedra,  a cornercorner with one O(8)LiMnCrCu tetrahedra, corners with three equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(15)LiMn2Cu tetrahedra,  an edgeedge with one O(11)LiMnCrCu tetrahedra, and  an edgeedge with one O(12)LiMnCrCu tetrahedra. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(1), and one Cu(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Mn(2), one Mn(3), and one Cu(2) atom to form distorted OLiMn2Cu tetrahedra that share  a cornercorner with one O(11)LiMnCrCu tetrahedra,  a cornercorner with one O(12)LiMnCrCu tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(11)LiMnCrCu tetrahedra,  an edgeedge with one O(12)LiMnCrCu tetrahedra, and  an edgeedge with one O(13)LiMn2Cr trigonal pyramid. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Cu(2) atom.
Li4Cr3Mn3(CuO8)2 is Spinel-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 Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, and corners with three equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. The Li(1)-O(11) bond length is 1.94 Å. The Li(1)-O(12) bond length is 1.94 Å. The Li(1)-O(15) bond length is 1.98 Å. The Li(1)-O(3) bond length is 1.97 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 Cr(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Cu(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-65°. The Li(2)-O(14) bond length is 1.91 Å. The Li(2)-O(16) bond length is 1.90 Å. The Li(2)-O(5) bond length is 1.76 Å. The Li(2)-O(9) bond length is 1.95 Å. In the third Li site, Li(3) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. The Li(3)-O(1) bond length is 1.90 Å. The Li(3)-O(10) bond length is 1.91 Å. The Li(3)-O(4) bond length is 1.75 Å. The Li(3)-O(6) bond length is 1.90 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 Cr(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and corners with three equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. The Li(4)-O(13) bond length is 2.00 Å. The Li(4)-O(2) bond length is 1.95 Å. The Li(4)-O(7) bond length is 1.97 Å. The Li(4)-O(8) bond length is 1.97 Å. There are three inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cu(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-52°. The Cr(1)-O(14) bond length is 1.94 Å. The Cr(1)-O(2) bond length is 1.95 Å. The Cr(1)-O(3) bond length is 1.97 Å. The Cr(1)-O(4) bond length is 1.97 Å. The Cr(1)-O(7) bond length is 1.98 Å. The Cr(1)-O(9) bond length is 1.93 Å. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cu(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. The Cr(2)-O(16) bond length is 1.96 Å. The Cr(2)-O(2) bond length is 1.95 Å. The Cr(2)-O(3) bond length is 1.97 Å. The Cr(2)-O(4) bond length is 1.97 Å. The Cr(2)-O(8) bond length is 1.98 Å. The Cr(2)-O(9) bond length is 1.96 Å. In the third Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Cu(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 Cu(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. The Cr(3)-O(1) bond length is 1.99 Å. The Cr(3)-O(11) bond length is 1.98 Å. The Cr(3)-O(12) bond length is 1.98 Å. The Cr(3)-O(13) bond length is 1.98 Å. The Cr(3)-O(5) bond length is 1.98 Å. The Cr(3)-O(6) bond length is 1.99 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 Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cu(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. The Mn(1)-O(14) bond length is 1.97 Å. The Mn(1)-O(16) bond length is 1.96 Å. The Mn(1)-O(3) bond length is 1.92 Å. The Mn(1)-O(4) bond length is 1.90 Å. The Mn(1)-O(7) bond length is 1.93 Å. The Mn(1)-O(8) bond length is 1.93 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 Cu(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 Cu(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. The Mn(2)-O(1) bond length is 1.94 Å. The Mn(2)-O(10) bond length is 1.96 Å. The Mn(2)-O(11) bond length is 1.93 Å. The Mn(2)-O(13) bond length is 1.92 Å. The Mn(2)-O(15) bond length is 1.95 Å. The Mn(2)-O(5) bond length is 1.92 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 Cu(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 Cu(2)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 are 52°. The Mn(3)-O(10) bond length is 1.96 Å. The Mn(3)-O(12) bond length is 1.93 Å. The Mn(3)-O(13) bond length is 1.92 Å. The Mn(3)-O(15) bond length is 1.95 Å. The Mn(3)-O(5) bond length is 1.92 Å. The Mn(3)-O(6) bond length is 1.94 Å. There are two inequivalent Cu sites. In the first Cu site, Cu(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 CuO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. The Cu(1)-O(1) bond length is 2.05 Å. The Cu(1)-O(10) bond length is 2.08 Å. The Cu(1)-O(2) bond length is 2.09 Å. The Cu(1)-O(6) bond length is 2.04 Å. The Cu(1)-O(7) bond length is 2.13 Å. The Cu(1)-O(8) bond length is 2.13 Å. In the second Cu site, Cu(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 CuO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(3)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 51-53°. The Cu(2)-O(11) bond length is 2.09 Å. The Cu(2)-O(12) bond length is 2.08 Å. The Cu(2)-O(14) bond length is 2.07 Å. The Cu(2)-O(15) bond length is 2.12 Å. The Cu(2)-O(16) bond length is 2.05 Å. The Cu(2)-O(9) bond length is 2.07 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 Cr(3), one Mn(2), and one Cu(1) atom. In the second O site, O(2) is bonded to one Li(4), one Cr(1), one Cr(2), and one Cu(1) atom to form distorted OLiCr2Cu tetrahedra that share  a cornercorner with one O(7)LiMnCrCu tetrahedra,  a cornercorner with one O(8)LiMnCrCu tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(13)LiMn2Cr trigonal pyramid,  an edgeedge with one O(7)LiMnCrCu tetrahedra,  an edgeedge with one O(8)LiMnCrCu tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Cr(1), one Cr(2), and one Mn(1) atom to form distorted OLiMnCr2 trigonal pyramids that share  a cornercorner with one O(15)LiMn2Cu tetrahedra,  a cornercorner with one O(11)LiMnCrCu tetrahedra,  a cornercorner with one O(12)LiMnCrCu tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiCr2Cu tetrahedra,  an edgeedge with one O(7)LiMnCrCu tetrahedra, and  an edgeedge with one O(8)LiMnCrCu tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Mn(1) atom to form distorted OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiCr2Cu tetrahedra, corners with two equivalent O(7)LiMnCrCu tetrahedra, corners with two equivalent O(8)LiMnCrCu tetrahedra, and corners with three equivalent O(3)LiMnCr2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Mn(2), and one Mn(3) atom to form distorted OLiMn2Cr tetrahedra that share corners with two equivalent O(15)LiMn2Cu tetrahedra, corners with two equivalent O(11)LiMnCrCu tetrahedra, corners with two equivalent O(12)LiMnCrCu tetrahedra, and corners with three equivalent O(13)LiMn2Cr trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(3), and one Cu(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Mn(1), and one Cu(1) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(2)LiCr2Cu tetrahedra,  a cornercorner with one O(8)LiMnCrCu tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(13)LiMn2Cr trigonal pyramid,  an edgeedge with one O(2)LiCr2Cu tetrahedra,  an edgeedge with one O(8)LiMnCrCu tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Cr(2), one Mn(1), and one Cu(1) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(2)LiCr2Cu tetrahedra,  a cornercorner with one O(7)LiMnCrCu tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(13)LiMn2Cr trigonal pyramid,  an edgeedge with one O(2)LiCr2Cu tetrahedra,  an edgeedge with one O(7)LiMnCrCu tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(2), and one Cu(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Mn(2), one Mn(3), and one Cu(1) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(3), one Mn(2), and one Cu(2) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(15)LiMn2Cu tetrahedra,  a cornercorner with one O(12)LiMnCrCu tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(15)LiMn2Cu tetrahedra,  an edgeedge with one O(12)LiMnCrCu tetrahedra, and  an edgeedge with one O(13)LiMn2Cr trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(3), one Mn(3), and one Cu(2) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(15)LiMn2Cu tetrahedra,  a cornercorner with one O(11)LiMnCrCu tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(15)LiMn2Cu tetrahedra,  an edgeedge with one O(11)LiMnCrCu tetrahedra, and  an edgeedge with one O(13)LiMn2Cr trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one Cr(3), one Mn(2), and one Mn(3) atom to form distorted OLiMn2Cr trigonal pyramids that share  a cornercorner with one O(2)LiCr2Cu tetrahedra,  a cornercorner with one O(7)LiMnCrCu tetrahedra,  a cornercorner with one O(8)LiMnCrCu tetrahedra, corners with three equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(15)LiMn2Cu tetrahedra,  an edgeedge with one O(11)LiMnCrCu tetrahedra, and  an edgeedge with one O(12)LiMnCrCu tetrahedra. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(1), and one Cu(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Mn(2), one Mn(3), and one Cu(2) atom to form distorted OLiMn2Cu tetrahedra that share  a cornercorner with one O(11)LiMnCrCu tetrahedra,  a cornercorner with one O(12)LiMnCrCu tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(11)LiMnCrCu tetrahedra,  an edgeedge with one O(12)LiMnCrCu tetrahedra, and  an edgeedge with one O(13)LiMn2Cr trigonal pyramid. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Cu(2) atom.