TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Component: The surface area of pores having diameter of 0.01-0.2 mu m as determined by mercury porosimetry, is 5-50 m2/g, preferably 7-30 m2/g of negative electrode excluding the weight of the current collector. The surface area of pores having diameter of 0.003-0.02 mu m as determined by mercury porosimetry, is 0.1-10 m2/g, preferably 0.2-2 m2/g of negative electrode excluding weight of the current collector. The negative electrode has a pore volume of 0.1-1 mL/g, preferably 0.2-0.5 mL/g. The mode diameter of first peak of pore diameter distribution is 0.02-0.1 mu m. The mode diameter of second peak of pore diameter distribution is 0.005-0.015 mu m. The volume of pores having diameter of 0.01-0.2 mu m is 0.1-0.3 mL/g of negative electrode excluding the weight of the current collector. The volume of pores having diameter of 0.003-0.02 mu m is 0.0005-0.01 mL/g of negative electrode excluding the weight of the current collector. The titanium-based oxide is formed of particles having an average particle diameter of more than 1 mu m. The current collector is formed of an aluminum foil or an aluminum alloy foil. Each of the aluminum foil and the aluminum alloy foil has average crystal grain size of less than 50 mu m. The positive electrode contains a compound having compositional formula: LiaNibCocMndO2, where a is 0-1.1, b is 0.1-0.5, c is 0-0.9 and d is 0.1-0.5. The titanium-based oxide is chosen from titanium dioxide and a metal composite oxide containing titanium and at least one element chosen from phosphorus, vanadium, tin, copper, nickel, cobalt and iron. The metal composite oxide is chosen from titanium dioxide-phosphorus pentoxide, titanium dioxide-phosphorus pentoxide-tin oxide and titanium dioxide-phosphorus pentoxide-metal (Me) oxide, where Me is chosen from copper, nickel, cobalt and iron.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Component: The nonaqueous electrolyte contains at least two types of solvent chosen from propylene carbonate, ethylene carbonate, and gamma -butyrolactone.