Li2Cr3MnO8 is Spinel-derived structured and crystallizes in the trigonal R-3m space group. Li(1) is bonded to one O(1) and three equivalent O(2) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(1)O6 octahedra and corners with nine equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-60°. Cr(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form CrO6 octahedra that share corners with six equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. Mn(1) is bonded to six equivalent O(2) atoms to form MnO6 octahedra that share corners with six equivalent Li(1)O4 tetrahedra and edges with six equivalent Cr(1)O6 octahedra. There are two inequivalent O sites. In the first O site, O(1) is bonded to one Li(1) and three equivalent Cr(1) atoms to form distorted OLiCr3 tetrahedra that share corners with three equivalent O(1)LiCr3 tetrahedra, corners with nine equivalent O(2)LiMnCr2 trigonal pyramids, and edges with three equivalent O(2)LiMnCr2 trigonal pyramids. In the second O site, O(2) is bonded to one Li(1), two equivalent Cr(1), and one Mn(1) atom to form distorted OLiMnCr2 trigonal pyramids that share corners with three equivalent O(1)LiCr3 tetrahedra, corners with nine equivalent O(2)LiMnCr2 trigonal pyramids,  an edgeedge with one O(1)LiCr3 tetrahedra, and edges with two equivalent O(2)LiMnCr2 trigonal pyramids.
Li2Cr3MnO8 is Spinel-derived structured and crystallizes in the trigonal R-3m space group. Li(1) is bonded to one O(1) and three equivalent O(2) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(1)O6 octahedra and corners with nine equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-60°. The Li(1)-O(1) bond length is 2.00 Å. All Li(1)-O(2) bond lengths are 2.01 Å. Cr(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form CrO6 octahedra that share corners with six equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. Both Cr(1)-O(1) bond lengths are 1.97 Å. All Cr(1)-O(2) bond lengths are 2.01 Å. Mn(1) is bonded to six equivalent O(2) atoms to form MnO6 octahedra that share corners with six equivalent Li(1)O4 tetrahedra and edges with six equivalent Cr(1)O6 octahedra. All Mn(1)-O(2) bond lengths are 1.95 Å. There are two inequivalent O sites. In the first O site, O(1) is bonded to one Li(1) and three equivalent Cr(1) atoms to form distorted OLiCr3 tetrahedra that share corners with three equivalent O(1)LiCr3 tetrahedra, corners with nine equivalent O(2)LiMnCr2 trigonal pyramids, and edges with three equivalent O(2)LiMnCr2 trigonal pyramids. In the second O site, O(2) is bonded to one Li(1), two equivalent Cr(1), and one Mn(1) atom to form distorted OLiMnCr2 trigonal pyramids that share corners with three equivalent O(1)LiCr3 tetrahedra, corners with nine equivalent O(2)LiMnCr2 trigonal pyramids,  an edgeedge with one O(1)LiCr3 tetrahedra, and edges with two equivalent O(2)LiMnCr2 trigonal pyramids.