NOVELTY - A positive active material comprises lithium molybdate composite having core-shell structure in which core contains lithium molybdate having a 1st peak at X-ray diffraction angle 2 theta of 20.65 plus minus 0.1 degrees and a 2nd peak at 2 theta of 30.5 plus minus 0.1 degrees in an X-ray diffraction measurement using CuK alpha ray, and shell contains amorphous coating layer.    USE - A positive active material for lithium battery (claimed) used for mobile phones, portable computers, and electric vehicles requiring high capacity battery, high-power output, and high temperature operation or combined with typical internal combustion engine, fuel battery, or supercapacitor for use in hybrid vehicles.    ADVANTAGE - The positive active material has improved capacity and lifetime properties.    DETAILED DESCRIPTION - A positive active material comprises lithium molybdate composite having core-shell structure in which core contains lithium molybdate having a 1st peak at X-ray diffraction angle 2 theta of 20.65 plus minus 0.1 degrees and a 2nd peak at 2 theta of 30.5 plus minus 0.1 degrees in an X-ray diffraction measurement using CuK alpha ray, and shell contains amorphous coating layer consisting of Li-M-O-C compound.M=Na, K, Cs, Mg, Ca, Sr, Ba, Y, La, Ti, Zr, V, Mn, Fe, Cu, Ni, Ag, Au, Zn, and/or Al.    INDEPENDENT CLAIMS are included for:    (1) lithium battery (30) comprising positive electrode (23), negative electrode (22) disposed opposite to positive electrode, and electrolyte interposed between positive electrode and negative electrode in which positive electrode contains the positive active material; and    (2) manufacture of positive active material which involves preparing lithium molybdenum oxide, performing 1st heat treatment to lithium molybdenum oxide of formula LisMoO3 at 500-1100 degrees C in a reducing atmosphere, adding source of transition metal (M) to lithium molybdenum oxide to obtain mixture, and performing 2nd heat treatment to the mixture at 500-1300 degrees C in a reducing atmosphere.    s=1-3.    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic diagram of a lithium battery.    Negative electrode (22)    Positive electrode (23)    Separator (24)    Battery case (25)    Lithium battery (30)