NOVELTY - The lithium secondary battery consists of anode active material and non-aqueous electrolyte. The anode active material contains lithium manganese composite oxide and element(s) such as boron, phosphorus, antimony, aluminum, silicon and/or gallium.    USE - For portable information communication apparatus, electric power storage system and electric vehicle (all claimed). Also used for refrigerator, air-conditioner, television, stereo, water heater, microwave oven, dish washer, washing machine, drier, game machine device, lighting equipment device, toy, load conditioner, medical equipment, electric vehicle, golf cart, electric drive cart, notebook personal computer, pen input personal computer, pocket personal computer, note(book) type word processor, pocket word processor, electronic book player, mobile telephone, cordless phone sub-station, pager, hand-held terminal, portable copy, electronic notebook, calculator, liquid crystal television, electric shaver, power tool, electronic translating machine, vehicle telephone, transceiver, utterance input machine, memory card, backup power supply, tape recorder, radio, headphone stereo cassette tape recorder, portable printer, hand-held cleaner, portable compact disk (CD), video movie, navigation system, and for large sized electric power storage, munition and non-commercial uses.    ADVANTAGE - The lithium secondary battery has high capacitance, efficiency, stable charging and discharging characteristics, durability and safety. The anode active material has long shelf life and capacitance.    DETAILED DESCRIPTION - The lithium secondary battery consists of anode active material and non-aqueous electrolyte. The anode active material contains lithium manganese composite oxide of formula: Li1+XMn2-XO4, where x is 0-1.33, and element(s) such as boron, phosphorus, antimony, aluminum, silicon and/or gallium. Alternately the anode active material has formula: (Li,A)1+xMyMn2-x-y-zBzO4, where x is 0-1.33, y+z is 0-2, M is transition metal element other than lithium, manganese and boron and A is magnesium, zinc, iron, copper and/or nickel.    INDEPENDENT CLAIMS are included for the following:    (1) portable information communication apparatus using the lithium secondary battery;    (2) electric vehicle using the lithium secondary battery; and    (3) electric power storage system using the lithium secondary battery.    DESCRIPTION OF DRAWING(S) - The figure shows the cycle characteristic view of the secondary battery. (Drawing includes non-English language text).