TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Compound: The lithium salt is lithium hexafluorophosphate, lithium tetrafluoroborate, lithium bis(trifluoromethylsulfonyl)imide, lithium bis(trifluoroethylsulfonyl)imide, bis(oxalato)lithium borate or difluoro(oxalato)lithium borate. The negative electrode contains negative electrode active material chosen from carbonaceous material having D value of (002) lattice surface in X-ray diffraction of 0.340 nm, oxide of tin, silicon, lead and/or aluminum, alloy of tin, silicon, lead and/or aluminum and lithium, and lithium titanium oxide. The positive electrode contains positive electrode active material comprising oxide and/or polyanion compound chosen from lithium cobaltate, lithium manganese complex oxide which has spinel structure, lithium-transition metal composite oxide which has layer structure containing manganese, nickel, and cobalt, and lithium containing olivine type phosphate.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Composition: The nonaqueous electrolyte solution further comprises negative electrode film forming agent or swelling inhibitor. The compound (I) is contained inner amount of 0.01-1 wt.% in the solution. The cyclic carbonate is ethylene carbonate or propylene carbonate. The weight ratio of the compound (I) and cyclic carbonate is 0.001-0.05. The electrolyte solution contains vinylene carbonate of formula (II), cyclic carbonate ester of formula (III), linear carbonate ester of formula: R9-C(=O)-O-C(=O)-R10 (IV) or of formula: R9'-C(=O)-O-R10'. The swelling inhibitor is cyclic phosphazene derivative of formula (VI), ( gamma )-butyrolactone, ( gamma )-valerolactone, ( gamma )-caprolactone or ( epsilon )-caprolactone.R3,R4=H, halo, or 1-12C (halo)alkyl;R5-R8=H, halo, 1-12C (halo)alkyl or 2-12C alkenyl, at least one being haloalkyl;R9,R10,R11-R14=R3 or 2-12C alkenyl;or R9+R10+C=cycloaliphatic acid anhydride;R9'=R9;R10'=1-12C (halo)alkyl or 2-12C alkenyl;andR15-R20=H, halo, 1-10C (halo)alkyl, 1-10C (halo)alkoxy or 6-12C aryl optionally containing halo.    TECHNOLOGY FOCUS - POLYMERS - Preferred Separator: The separator has polyethylene as main component.