TECHNOLOGY FOCUS - ELECTRONICS - Preferred Components: The diameter distribution of pores of the negative electrode when measured by mercury porosimetry has a first peak having a mode diameter of 0.01-0.2 mu m, and a volume of pores having a diameter of 0.01-0.2 mu m, which is measured by the mercury porosimetry, is 0.05-0.5 ml per gram of the negative electrode excluding a current collector. The diameter distribution of pores of the negative electrode when measured by mercury porosimetry has a second peak having a mode diameter of 0.003-0.02 mu m, and a volume of pores having a diameter of 0.003-0.02 mu m, which is measured by the mercury porosimetry, is 0.0001-0.02 ml, per gram of the negative electrode excluding a current collector.    TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Components: The titanium-containing oxide has a spinel structure. The positive electrode contains particles of lithium-transition metal composite oxide and an oxide of at least one element selected from aluminum, magnesium, zirconium, boron, titanium or gallium. The oxide coating at least a part of a surface of the particles of lithium-transition metal composite oxide.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The sultone is at least one of 1,3-propene sultone or 1,4-butene sultone (preferably 1,3-propene sultone). The nonaqueous electrolyte comprises (wt.%) the sultone (0.1-2, preferably 0.5-1.5) and the compound (0.1-10, preferably 1-5). Preferred Solvent: The nonaqueous electrolyte contains at least two solvents selected from diethyl carbonate, propylene carbonate or gamma -butyrolactone (preferably gamma -butyrolactone). SPECIFIC COMPOUNDS - tris(Trimethylsilyl)phosphate is specifically claimed as the phosphoric ester compound.    EXAMPLE - A nonaqueous electrolyte secondary battery comprising lithium titanium oxide as the negative electrode active material; lithium cobalt oxide as the positive electrode active material; 1,3-propene sultone (0.5 wt.%) as the first additive; tris(trimethylsilyl)phosphate (0.5 wt.%) as the second additive; ethylene carbonate/propylene carbonate/ gamma -butyrolactone (1:1:4) as the solvent; and lithium tetrafluoroborate (2 M) as the solute was prepared. Similarly a comparative battery was also prepared except that titanium oxide (TiO2) was used as the negative electrode active material. The ratios of the capacity at the low rate discharge 1C to the capacity at the high rate 20C and cycle life was measured for both the test and comparative batteries. The results showed that the test/comparative showed 20C capacity/1C capacity ratio (%) of 80/45 and cycle life (cycles) 4800/300 respectively. Thus, the results reveals that the large current performance and charge-discharge cycle performance were improved by using 1,3-propene sultone and tris(trimethylsilyl)phosphate together when TiO2 is used as the titanium containing oxide.