Provided are
nickel manganese composite
hydroxide particles that are a precursor for forming
cathode active material comprising
lithium nickel manganese composite oxide having hollow structure of particles having a small and uniform particle size for obtaining a non-
aqueous electrolyte secondary battery having high capacity, high output and good cyclability. When obtaining the
nickel manganese composite
hydroxide particles from a
crystallization reaction, an
aqueous solution for
nucleation, which includes at least a metallic compound that contains nickel and a metallic compound that contains manganese, and does not include a complex
ion formation agent that forms
complex ions with nickel, manganese and
cobalt, is controlled so that the temperature of the solution is 60 DEG C or greater, and so that the pH value that is measured at a
standard solution temperature of 25 DEG C is 11.5 to 13.5, and after
nucleation is performed, an
aqueous solution for
particle growth, which includes the nuclei that were formed in the
nucleation step and does not substantially include a complex
ion formation agent that forms
complex ions with nickel, manganese and
cobalt, is controlled so that the temperature of the solution is 60 DEG C or greater, and so that the pH value that is measured at a
standard solution temperature of 25 DEG C is 9.5 to 11.5, and is less than the pH value in the nucleation step.