NOVELTY - A positive electrode material contains a heat-processed carbon material at temperature of 1200-3500 degrees C having anion occlusion-discharge property. INDEPENDENT CLAIMS are also included for the following: (1) a method for manufacturing a positive electrode material (2) a sodium rechargeable battery.    USE - Positive electrode material for manufacturing sodium rechargeable battery that is utilized for manufacturing electronic devices (all claimed). Uses include but are not limited to air-conditioner, washing machine, TV, refrigerator, freezer, chiller device, notebook personal computer, personal computer keyboard, personal computer monitor, desktop personal computer, personal computer rack, printer, computer mouse, hard disk, personal computer peripheral device, clothes dryer, window fan, transceiver, air blower, ventilating fan, music recorder, music player, oven, warm air heater, car component, car-navigation, electric torch, humidifier, portable karaoke machine, ventilating fan, drying machine, dry cell, air cleaner, mobile telephone, emergency electric light, game machine, blood pressure meter, coffee mill, coffee maker, leg-warming table, copy machine, disk changer, radio, shaver, juicer, shredder, water purifier, lighting fixture, dehumidifier, dish dryer, rice cooker, stereo, stove, speaker, trouser press, cleaner, body fat meter, weighing scale, movie player, electric carpet, electric rice-cooker, electronic game machine, electronic dictionary, electronic organizer, microwave oven, induction-heating cooker, calculator, electrically driven cart, electric wheelchair, electric tool, electric toothbrush, heating pad, haircutting instrument, telephone apparatus, timepiece, intercom, air circulator, hotplate, toaster, electrically-driven drill, water heater, panel heater, grinder, soldering iron, video camera, video recorder, facsimile, fan heater, food processor, futon dryer, headphones, microphone, massaging machine, miniature lamp, mixer, sewing machine, rice cake pounding machine, floor-heating panel, remote control, cold/warm chamber, water cooler, frozen stocker, cooler, word processor, whisk, electronic musical instrument, motorcycle, toys, lawn mower, motor vehicle, hybrid vehicle, plug-in hybrid motor vehicle, emergency storage battery.    ADVANTAGE - The positive electrode material has high stability and electrical conductivity.