A powderous positive electrode material for a lithium secondary battery has the general formula Li1+x[Ni1−a−b−cMaM′bM″c]1−xO2−z. M is one or more elements of the group Mn, Zr and Ti. M′ is one or more elements of the group Al, B and Co. M″ is a dopant different from M and M′, and x, a, b and c are expressed in mol with −0.02≤x≤0.02, 0≤c≤0.05, 0.10≤(a+b)≤0.65 and 0≤z≤0.05. The material has an unconstrained cumulative volume particle size distribution value (Γ0(D10P=0)), a cumulative volume particle size distribution value after having been pressed at a pressure of 200 MPa (ΓP(D10P=200)) and a cumulative volume particle size distribution value after having been pressed at a pressure of 300 MPa (ΓP(D10P=300)). When ΓP(D10P=200) is compared to Γ0(D10P=0), the relative increase in value is less than 100%. When ΓP(D10P=300) is compared to Γ0(D10P=0), the relative increase in value is less than 120%.