TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Component: The positive electrode contains positive electrode active material. The positive electrode active material is a lithium-containing olivine-type phosphate containing iron, cobalt, nickel, and/or manganese, or complex metal oxide of cobalt, manganese, lithium and/or nickel. The negative electrode contains a negative electrode active material. The negative electrode active material is chosen from carbon material capable of occluding and discharging lithium metal, lithium alloy or lithium, tin, tin compound, silicon, silicon compound and lithium titanate compound.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Compound: The cyclic acid anhydride (I) is chosen from 3-allyl dihydrofuran-2,5-dione, 3-(3-methyl-allyl)dihydrofuran-2,5-dione, 3-(3,3-dimethyl allyl)dihydrofuran-2,5-dione, 3-(2-methyl-allyl)dihydrofuran-2,5-dione, 3-(2,3-dimethyl allyl)dihydrofuran-2,5-dione, 3-(2,3,3-trimethyl allyl)dihydrofuran-2,5-dione, 3-(2-propyn-1-yl)dihydrofuran-2,5-dione, 3-(1-methyl-2-propyn-1-yl)dihydrofuran-2,5-dione, and 3-(1,2-dimethyl-2-propyn-1-yl)dihydrofuran-2,5-dione. The cyclic carbonate is chosen from ethylene carbonate, propylene carbonate, vinylene carbonate and vinyl ethylene carbonate. The nonaqueous solvent further contains linear-shaped ester, an aromatic compound having fluorine atom and/or tert-alkyl group, and a nitrile. The linear-shaped ester is asymmetrical linear carbonate chosen from methyl ethyl carbonate, methylpropyl carbonate, methyl isopropyl carbonate, methylbutyl carbonate, and ethylpropyl carbonate, symmetrical linear carbonate chosen from dimethyl carbonate, diethyl carbonate, dipropyl carbonate, and dibutyl carbonate, and linear-shaped carboxylate ester. Preferred Component: The electrolytic salt contains lithium hexafluorophosphate, lithium phosphorus oxy fluoride (LiPO2F2, Li2PO3F), lithium tetrafluoroborate, lithium bis(trifluoromethyl sulfonyl)imide, lithium bis(perfluoroethysulfonyl)imide, lithium bis(fluorosulfuryl)imide, difluoro bis(oxalate-O,O') lithium phosphate, and tetrafluoro(oxalate-O,O')lithium phosphate. The concentration of electrolytic salt is 0.3-2.5M with respect to nonaqueous solvent.