Positive electrode active material precursor for non aqueous electrolyte secondary cell, positive electrode active material for non aqueous electrolyte secondary cell, method for manufacturing positive electrode active material precursor for non aqueous electrolyte secondary cell, and method for manufacturing positive electrode active material for non aqueous electrolyte secondary cell

Provided is a positive electrode active material precursor for non aqueous electrolyte secondary cells, which comprises a nickel cobalt manganese carbonate composite represented by the general formula Ni x Co y Mn z M t CO 3 (in the formula, x+y+z+t = 1, 0.05 ≤ x ≤ 0.3, 0.1 ≤ y ≤ 0.4, 0.55 ≤ z ≤ 0.8, and 0 ≤ t ≤ 0.1 are satisfied, and M is at least one additive element selected from Mg, Ca, Al, Ti, V, Cr, Zr, Nb, Mo and W) and a functional group containing hydrogen. The substance mass ratio H/Me of the hydrogen content H to the metal component content Me is less than 1.60. The positive electrode active material precursor for non aqueous electrolyte secondary cells comprises secondary particles formed by the agglomeration of a plurality of primary particles.