| abstract |
Is represented by the following composition formula (I) and is in the range of 2θ = 38.5 ± 1 ° in half-width α of the peak existing in the diffraction angle 2θ = 19.2 ± 1 ° in the powder X-ray diffraction measurement using the CuKα line (? /?) Of the peak to half-width? Of 0.9 or more is 0.9 or more. The positive electrode active material precursor for a lithium secondary battery according to claim 1, Ni x Co y Mn z M w (OH) 2 ··· (Ⅰ) [0.7 ≤ x <1.0, 0 <y ≤ 0.20, 0 ≤ z ≤ 0.20, 0 ≤ w ≤ 0.1, x + y + z + w = 1 and M is at least one element selected from the group consisting of Mg, Ca, Sr, Ba, Ti, Zr, V, Nb, Cr, Mo, W, Fe, Ru, Cu, Zn, Bi. ≪ / RTI > |