TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Properties: The predetermined portion depth (1') from the surface of primary particles (II or III), is less than 100 nm. The electroconductive material attached to the surface of primary particles or secondary particles to a thickness of 10-550 nm. Preferred Composition: The molar ratio of oxygen atom and substitutional atom from the surface to the predetermined portion is 2-y:y, where y is 0.01-0.3. The anode material further contains secondary particles consisting of primary particles (II or III). The molar ratio of oxygen atom and substitutional atom, from the surface of secondary particles to depth of 100 nm, is 2-y:y, where y is 0.01-0.3. The metallic compound or substitutional atom contains fluorine, chlorine, bromine, iodine, nitrogen, sulfur and/or phosphorus, when the primary particles (I or III), or primary particles (II or III), are contained in anode material, respectively. The lithium nickel oxide particles contain cobalt. Preferred Compound: The electroconductive material is acetylene black, carbon nanotube, mesophase pellet, gaseous phase carbon fiber, graphite, hard carbon, non-reinforcing carbon black, titanium oxide, vanadium oxide, niobium oxide, lanthanum oxide, neodymium oxide, samarium oxide, rhenium oxide and/or ruthenate compound. Preferred Process: The liquid mixture of metallic compound, lithium hydroxide hydrate and nickel compound is heated at 200-300degreesC, thermally decomposed at 300-500degreesC and calcined at 500-850degreesC. The electroconductive material is added and heat-mixed to the calcined product. EXAMPLE - Lithium hydroxide hydrate ( in g) (41.96), cobalt hydroxide (13.94), aluminum hydroxide (2.34) and nickel hydroxide (66.74) were dissolved in water (1000). The liquid mixture was produced such that ratio of nickel hydroxide and lithium fluoride was set to 1:0.025. The resulting liquid mixture was heated at 300degreesC for 24 hours in atmosphere. The reaction liquid was thermally decomposed at 400degreesC for 8 hours, and baked at 840degreesC for 24 hours in nitrogen atmosphere, to obtain secondary particles having average particle diameter of 12 microns. Acetylene black was attached to the surface of the secondary particles. The resulting secondary particle and N-methyl pyrrolidone were mixed, to obtain anode slurry. A battery obtained using the anode material, had internal resistance of 6%.