The positive electrode active material, a positive electrode for a nonaqueous electrolyte battery,

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The present invention provides a nonaqueous electrolyte battery that exhibits high energy density and excellent cycle characteristics, as well as a cathode for use in such a battery, and a cathode active material for use in such a cathode. The cathode active material of the present invention has a composition represented by the formula (1) and a crystallite size in the (110) plane of not smaller than 85 nm : €ƒ€ƒ€ƒ€ƒ€ƒ€ƒ€ƒ€ƒLi x Co 1-y-z Nb y M z O 2 €ƒ€ƒ€ƒ€ƒ€ƒ(1) wherein M stands for at least one element selected from Mg, Y, rare earth elements, Ti, Zr, Hf, V, Ta, Cr, Mo, W, Mn, Fe, Ni, Cu, Zn, B, Al, Ga, C, Si, Sn, N, S, F, and Cl; and 0.9‰ x‰ 1.1, 0.0002‰ y‰ 0.01, and 0‰ z‰ 0.05.