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This invention provides the following : a positive-electrode active material that results in improved crystal-structure stability during continuous charging or high-voltage charging of a nonaqueous-electrolyte secondary battery, excellent cycle characteristics (capacity retention ratio), and a high capacity; and a positive electrode and nonaqueous-electrolyte secondary battery using said positive-electrode active material. This positive-electrode active material consists of lithium-containing complex-oxide particles, the composition of which can be represented by formula (1) (in which x, y, w, a, b, c, and α represent specific numbers and M represents one or more elements selected from among calcium, yttrium, the rare-earth elements, titanium, zirconium, hafnium, vanadium, niobium, tantalum, chromium, molybdenum, tungsten, manganese, iron, nickel, copper, silver, zinc, boron, gallium, carbon, silicon, tin, nitrogen, phosphorus, sulfur, fluorine, and chlorine), with a compound containing one or more elements selected from among aluminum, magnesium, and the aforementioned elements adhering to the surfaces of said lithium-containing complex-oxide particles. The abovementioned positive electrode and nonaqueous-electrolyte secondary battery use said positive-electrode active material. (1) Lix−yNayCowAlaMgbMcO2+α