The invention claimed is:
1 . A nickel manganese cobalt composite hydroxide, which is a precursor of a positive electrode active material, and which is composed of secondary particles to which primary particles containing a nickel, a manganese, and a cobalt are aggregated, or composed of the primary particles and the secondary particles,
wherein both of sodium content and potassium content contained in the nickel manganese cobalt composite hydroxide are less than 0.0005% by mass, a void ratio of particles of the nickel manganese cobalt composite hydroxide is 20% to 50%, and the nickel manganese cobalt composite hydroxide is represented by a general formula: Ni x Mn y Co z M t (OH) 2+a wherein x+y+z+t=1, 0.20≤x≤0.80, 0.10≤y≤0.90, 0.10≤z≤0.50, 0≤t≤0.10, 0≤a≤0.5, and M is at least one selected from Mg, Ca, Al, Ti, V, Cr, Zr, Nb, Mo, and W.
2 . The nickel manganese cobalt composite hydroxide according to claim 1 , wherein a specific surface area of the nickel manganese cobalt composite hydroxide is 30 to 40 m 2 /g.
3 . The nickel manganese cobalt composite hydroxide according to claim 1 , wherein a sulfate content contained in the nickel manganese cobalt composite hydroxide is 0.2% by mass or less, and a chloride content is 0.01% by mass or less.
4 . The nickel manganese cobalt composite hydroxide according to claim 1 , wherein a value of [(d90−d10)/average particle size], which is an index indicating a spread of a particle size distribution of the nickel manganese cobalt composite hydroxide, is 0.55 or less.
5 . The nickel manganese cobalt composite hydroxide according to claim 1 , wherein a content of at least one of a calcium and a magnesium contained in the nickel manganese cobalt composite hydroxide is less than 0.0005% by mass.
6 . A lithium nickel manganese cobalt composite oxide composed of secondary particles to which primary particles containing a lithium, a nickel, a manganese, and a cobalt are aggregated, or composed of the primary particles and the secondary particles,
wherein both of a sodium content and potassium content contained in the lithium nickel manganese cobalt composite oxide are less than 0.0005% by mass, a void ratio of the lithium nickel manganese cobalt composite oxide is 20% to 50%, and a specific surface area of the lithium nickel manganese cobalt composite oxide is 30 to 40 m 2 /g.
7 . The lithium nickel manganese cobalt composite oxide according to claim 6 , wherein a sulfate content contained in the lithium nickel manganese cobalt composite oxide is 0.15% by mass or less, a chloride content is 0.005% by mass or less, and a Me site occupancy factor is 93.0% or more.
8 . The lithium nickel manganese cobalt composite oxide according to claim 6 , wherein a ratio of an average particle size of the lithium nickel manganese cobalt composite oxide divided by an average particle size of a nickel manganese cobalt composite hydroxide, which is a precursor, is 0.95 to 1.05.
9 . The lithium nickel manganese cobalt composite oxide according to claim 6 , wherein, when observing 100 or more particles of the lithium nickel manganese cobalt composite oxide selected randomly by a scanning electron microscope, a number that an aggregation of secondary particles is observed is 5% or less with respect to a total number of observed secondary particles.
10 . The lithium nickel manganese cobalt composite oxide according to claim 6 , wherein a content of at least one of a calcium and a magnesium contained in the lithium nickel manganese cobalt composite oxide is less than 0.0005% by mass.
11 . A lithium ion secondary battery comprising a positive electrode at least containing the lithium nickel manganese cobalt composite oxide according to claim 6 .