POSITIVE-ELECTRODE ACTIVE MATERIAL POWDER, POSITIVE ELECTRODE CONTAINING POSITIVE-ELECTRODE ACTIVE

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Provided is cathode active material powder or a cathode that is capable of improving the cycle characteristics of nonaqueous electrolyte rechargeable batteries at high voltage and exhibiting excellent capacity retention. The cathode active material powder has a composition of formula (I) : Lix_wNawCo1-yMyO2+z ≤ ≤ x ≤ 1.100, 0 < y ≤ 0.050, -0.1 ≤ z ≤ 0.1, 0 ≤ w ≤ 0.020; M : rare earth elements, Ti, Zr, Mo, Mn, Ni, Cu, Al, Ga, etc.), and a core-shell structure composed of a lithium-containing composite oxide region as a core and a Li-ion-conductive oxide region as a shell, wherein the core contains Li, Co, and oxygen, and has the Co concentration of not higher than 90 % as calculated by formula (II) : ((Co concentration on shell external surface) / (Co concentration at shell boundary of core/shell structure)) × 100, and wherein the shell is an amorphous layer containing La, Ti, Co, and oxygen, covering the core at least partly.