TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Components: The separator has polyethylene; and at least one kind selected from polypropylene, polyvinylidene fluoride, polytetrafluoro ethylene, aluminum oxide (Al2O3), silicon dioxide (SiO2), aramid, and polyacrylonitrile. The cathode has a lithium transition metal composite oxide, which contains at least one kind selected from nickel (Ni), manganese (Mn), and iron (Fe). The cathode has a cathode material in which a coating layer has been formed in at least a part of a lithium composite oxide particle, and the coating layer is made of an oxide containing lithium (Li), nickel (Ni), and manganese (Mn). The composition ratio of Ni and Mn in the coating layer is of 95:5 to 20:80 as a mole ratio of Ni and Mn. The cathode material is a composite particle in which a surface of a first lithium composite oxide particle serving as a core particle has been covered with a microparticle of a second lithium composite oxide. The mean compositions of the second lithium composite oxide are of formula LixNi(1-y)MnyO2. The electrolytic solution contains the additive in an amount of 0.001-10 mass %. The annular carbonic ester derivative having the halogen atom is 4-fluoro-1,3-dioxorane-2-on or 4,5-difluoro-1,3-dioxorane-2-on. The electrolytic solution further contains at least one kind selected from compounds of formulae (I), LiN(CmF2m2+1SO2)(CnF2n+1SO2) (II), (III), and (IV).x=0-1.2;y=0-1;R1=-C(=O)-R21-C(=O)-, -C(=O)-C(R23)(R24)-, or , or -C(=O)-C(=O)-;R21=alkylene, alkylene halide, allylene, or allylene halide;R23 and R24=alkyl, alkyl halide, aryl, or aryl halide;R2=halo, alkyl, alkyl halide, aryl, or aryl halide;X1 and X2=O or S;M1=transition metal element or one of a Group-3B element, Group-4B element, or a Group-5B element in a short period type periodic table;M2=Group-1A element or Group-2A element in a short period type periodic table or aluminum;a=1-4;b=0-8;c, d, e, and f=1-3;m and n= greater than or equal to 1;R'=linear-chain-type or branch-chain-type 2-4C perfluoro alkylene;andX' and Y'=electron attractive group selected from H, halo, CN, or NO2.