TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Component: The compound with oxygen and halogen coordinated on the Groups 4-15 elements in the non-aqueous electrolytic solution is 0.02-0.5 mass%. The halogen includes chlorine. The element includes molybdenum, vanadium, chrome, phosphorus, titanium, zirconium, niobium or aluminum.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Component: The oxygen configures ether having a structure of formula R2-O-R1 (1) or (2). The ether is tetrahydrofuran. The non-aqueous electrolytic solution further includes halogenated carbonic ester. The halogenated carbonic ester is fluoroethylene carbonate. The non-aqueous electrolytic solution includes carbonate ester having a carbon-carbon multiple bond. The carbonate ester is vinylene carbonate. A high molecular compound which swells the electrolytic solution is included.R1, R2=1-4C alkyl; andR3=1-5C alkylene group.    TECHNOLOGY FOCUS - POLYMERS - Preferred Component: The high molecular compound is polyvinylidene. The electrode body and the non-aqueous electrolytic solution are contained in an exterior member is formed of a laminate film. EXAMPLE - Lithium/cobalt composite oxide (94 wt.%) , graphite (3 wt.%), polyvinylidene fluoride (PVdF) were uniformly mixed. N-methylpyrrolidone was added and a positive electrode mixture coating solution was obtained. The obtained positive electrode mixture coating solution was uniformly coated and dried on the both surfaces of the aluminum film having a thickness of 20 mu m and a positive electrode mixture layer of 20 mg/cm2 per one side was formed. This was cut to have a width of 50 mm and a length of 300 mm and a positive electrode was manufactured. Graphite (97 wt.%) and PVdF (3 wt.%) were uniformly mixed, N-methylpyrrolidone was added, and a negative electrode mixture coating solution was obtained. The obtained negative electrode mixture coating solution was uniformly coated and dried on the both surfaces of the aluminum film of the negative electrode current collector having a thickness of 15 mu m and a negative electrode mixture layer of 10 mg/cm2 per one side was formed. This was cut to have a width of 50 mm and a length of 300 mm and a negative electrode was manufactured. The electrolytic solution was manufactured by mixing ethylene carbonate/ethylmethyl carbonate/lithium phosphate hexafluoride/molybdenum dichloride dioxide by a ratio (mass%) of 34/51/14.9/0.1. The positive electrode and the negative electrode were laminated with the separator formed of a porous polyethylene film having a thickness of 9 mu m interposed in between them, and were wound and inserted into a bag formed of an aluminum laminated film. The electrolytic solution was injected into the bag by 2 g, the bag was thermally fused, and a laminate battery was manufactured. The capacity of this battery was 700 mAh. A variation in the thickness of the battery when this battery was charged for 3 hours at 23 degrees C and 700 mA by using an upper limit of 4.2 V and was maintained for 4 hours at 90 degrees C as an expansion coefficient (%). A discharging capacity maintenance rate when this battery was charged for 3 hours at 23 degrees C and 700 mA by using an upper limit of 4.2 V and was repeatedly discharged 300 times at 700 mA by using a lower limit of 3 V.