<BET Specific Surface Area>
The BET specific surface area of the composite oxide contained in the active material for a battery according to the first embodiment is not particularly limited, and is preferably 5 m2/g or more and less than 200 m2/g. The BET specific surface area is more preferably 5 to 30 m2/g.
When the BET specific surface area is 5 m2/g or more, the contact area with the electrolytic solution can be secured. Thus, good discharge rate performances can be easily obtained and also, a charge time can be shortened. On the other hand, when the BET specific surface area is less than 200 m2/g, reactivity with the electrolytic solution can be prevented from being too high and therefore, the life performance can be improved. When the BET specific surface area is 30 m2/g or less, side reactions with the electrolytic solution can be suppressed, and thereby longer life can be further expected. And, in this case, a coatability of a slurry containing the active material for a battery in the production of an electrode, which will be described later, can be improved.