Positive active material for a nonaqueous electrolyte in a nonaqueous electrolyte secondary battery

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A positive electrode active material for a nonaqueous electrolyte secondary battery which includes a secondary particle of a lithium transition metal oxide, the secondary particle being formed by coagulation of primary particles of the lithium transition metal oxide; secondary particles of a rare earth compound, the secondary particles each being formed by coagulation of primary particles of the rare earth compound; and particles of an alkali-metal fluoride. The secondary particles of the rare earth compound are each deposited on a groove between a pair of adjacent primary particles which is formed in a surface of the secondary particle of the lithium transition metal oxide so as to come into contact with both of the pair of adjacent primary particles in the groove. The particles of the alkali-metal fluoride are deposited on the surface of the secondary particle of the lithium transition metal oxide.