What is claimed is:
1. An aluminum-coated nickel cobalt composite hydroxide that consists of: Ni 1-x-y-z Co x Al y Mg z (OH) 2 (where, 0.05≤x≤0.20, 0.01≤y≤0.06, and 0.01≤z≤0.03), and includes secondary particles, wherein
the secondary particles have a structure in which a main part has a solid structure that is formed by an aggregate of plural primary particles and in which nickel, cobalt, and magnesium are uniformly dispersed, the main part coated by a coating film that includes aluminum or an aluminum compound;
the average particle size of the secondary particles being within the range 4 μm to 7 μm or less, the tap density being 1.5 g/mL or greater, and the specific surface area being within the range 5.5 m 2 /g to 7.5 m 2 /g.
2. The aluminum-coated nickel cobalt containing composite hydroxide according to claim 1 , wherein the thickness of the coating film is within the range 0.001 μm to 0.01 μm.
3. The aluminum-coated nickel cobalt containing composite hydroxide according to claim 1 , wherein the primary particles have a rectangular parallelepiped shape, and the average particle size of the primary particles is within the range 0.01 μm to 0.1 μm.
4. A method for manufacturing an aluminum-coated nickel cobalt containing composite hydroxide that is expressed by a general formula: Ni 1-x-y-z Co x Al y Mg z (OH) 2 (where, 0.05≤x≤0.20, 0.01≤y≤0.06, and 0.01≤z≤0.03), comprising:
a crystallization step for obtaining nickel cobalt containing composite hydroxide that includes secondary particles having a solid structure that is formed by an aggregate of plural primary particles using a batch type crystallization method in which a raw material aqueous solution that includes nickel, cobalt and magnesium is supplied in an inert atmosphere to a reaction aqueous solution that is controlled so that the temperature is within the range 45° C. to 55° C., the pH value is within the range 10.8 to 11.8 at a reference liquid temperature of 25° C., and the ammonium-ion concentration is within the range 8 g/L to 12 g/L; and
a coating step for obtaining an aluminum-coated nickel cobalt containing composite hydroxide by mixing a slurry that includes the nickel cobalt containing composite hydroxide with a coating aqueous solution that includes aluminum to form a mixed aqueous solution, and coating the secondary particles with a coating film that includes aluminum or an aluminum compound.
5. The method for manufacturing an aluminum-coated nickel cobalt containing composite hydroxide according to claim 4 , wherein the pH value of the mixed aqueous solution is controlled to be within the range 9.6 to 10.4 at a reference liquid temperature of 25° C.
6. The method for manufacturing an aluminum-coated nickel cobalt containing composite hydroxide according to claim 4 , further comprising a drying step for drying the aluminum-coated nickel cobalt containing composite hydroxide by heating the aluminum-coated nickel cobalt containing composite hydroxide to a temperature within the range 110° C. to 130° C.