TECHNOLOGY FOCUS - ELECTRONICS - Preferred Electrolyte: The nonaqueous electrolyte further contains second sultones having a saturated hydrocarbon group. The nonaqueous electrolyte includes a solvent obtained by mixing two or more types selected from propylene carbonate, ethylene carbonate and gamma-butyrolactone; and the nonaqueous electrolyte includes gamma-butyrolactone. Preferred Battery: The volume of pores having a diameter of 0.003-0.02 microns, which is measured by the mercury porosimetry, is 0.0005-0.01 ml per g of the negative electrode excluding the current collector. The mode diameter of the second peak is 0.005-0.015 microns. A surface area of pores having a diameter of 0.003-0.02 microns, which is measured by the mercury porosimetry, is 0.1-10 m2 per g of the negative electrode excluding the current collector. A surface area of pores having a diameter of 0.01-0.2 microns, which is measured by the mercury porosimetry, is 5-50 m2 per g of the negative electrode excluding the current collector. The positive electrode contains a lithium-transition metal oxide having a layered crystal structure. Preferred Pack: The battery pack further comprises a protective circuit which detects a voltage of the nonaqueous electrolyte battery.    TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Components: The active material is lithium-titanium oxide. The lithium-titanium oxide has a spinel structure.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The first/second sultone (0.001-10 wt.%) is 1,3-propene sultone and/or 1,4-butene sultone. EXAMPLE - Lithium tetrafluoro borate (LiBF4) (2 mol/l) was dissolved as an electrolyte in a mixture solvent prepared by mixing ethylene carbonate (EC) with gamma-butyrolactone (GBL) in a ratio by volume of 1:2. 1,3-Propene sultone (0.001 wt.%) was added to the resulting solution to prepare a nonaqueous electrolyte. The viscosity of the nonaqueous electrolyte at 20degreesC was 7.1 cp (measured by B-type viscometer). After the liquid nonaqueous electrolyte was poured into the laminate film pack in which the electrode group was received, the pack was sealed by heat sealing to produce a nonaqueous electrolyte secondary battery having size of 35 mm (width) x 2 mm (thickness) x 65 mm (height). As comparative nonaqueous electrolyte secondary batteries were manufactured in the same manner except that 1,3-propene sultone was not used as the additive to the nonaqueous electrolyte. The batteries were subjected to 1C-low-rate discharge and 10C-high-rate discharge to calculate the ratio of the 10C-capacity to the 1C- capacity. Also, a cycle test was carried out in which 5C charge-5C discharge was repeated under a circumstance of 45degreesC, to measure the number of cycles in which the capacity was 80% of the 5C discharge capacity in the first cycle. The number of cycles was defined as a cycle life. Also, a variation in the thickness of the battery when the test was finished, which was the ratio of an increase in thickness to the initial battery thickness, was measured. The results (for test/comparative) showed 10C capacity/1C capacity ratio (%) = 87/90; cycle life (cycles) = 3000/800; and battery swell (%) less than 1/greater than 100.