POSITIVE ELECTRODE ACTIVE MATERIAL FOR LITHIUM SECONDARY BATTERY, POSITIVE ELECTRODE FOR LITHIUM SECONDARY BATTERY, AND LITHIUM SECONDARY BATTERY

1 . A positive electrode active material for a lithium secondary battery, comprising a lithium metal composite oxide and an Li—X compound containing Li and an element X,

wherein the Li—X compound is a lithium-ion conductive oxide,

the lithium metal composite oxide contains secondary particles, which are aggregates of primary particles,

the secondary particles have gaps among the primary particles,

the Li—X compound is present at least in the gap, the element X is one or more elements selected from the group consisting of Nb, W, and Mo, and

the positive electrode active material for the lithium secondary battery satisfies (A),

4.95≤ L A /L av   (A)

(in (A), L A is a crystallite diameter calculated from the highest diffraction peak within a range of 2θ=18.5±1° in a diffraction pattern of powder X-ray diffraction of the positive electrode active material for the lithium secondary battery measured using a CuKα ray, and

L av is an average crystallite diameter calculated from diffraction patterns included within a range of 2θ of 10° or more and 90° or less in the diffraction pattern.)

2 . The positive electrode active material for the lithium secondary battery according to claim 1 ,

wherein DSO, a 50% cumulative volume particle diameter of the positive electrode active material for the lithium secondary battery, is 3 μm or more and 20 μm or less.

3 . The positive electrode active material for the lithium secondary battery according to claim 1 ,

wherein a BET specific surface area of the positive electrode active material for the lithium secondary battery is 0.2 m 2 /g or more and 2.5 m 2 /g or less.

4 . The positive electrode active material for the lithium secondary battery according to claim 1 , represented by a composition formula (I),

Li[Li a (Ni (1-y-z-w) Co y M z X w ) 1-a ]O 2   (I)

(in the composition formula (I), M is one or more elements selected from the group consisting of Mn, Fe, Cu, Ti, Mg, Al, Zn, Sn, Zr, Ga, B, Si, S, and P, X is one or more elements selected from the group consisting of Nb, W, and Mo, and the composition formula (I) satisfies −0.1≤a≤0.2, 0≤y≤0.5, 0<z≤0.7, 0<w≤0.1, and y+z+w<1.)

5 . The positive electrode active material for the lithium secondary battery according to claim 1 ,

wherein D 10 , D 90 , and D 50 satisfy (B),

( D 90 −D 50 )/( D 50 −D 10 )≤2.0  (B)

(in (B), D 10 is a 10% cumulative volume particle diameter of the positive electrode active material for the lithium secondary battery, D 50 is a 50% cumulative volume particle diameter of the positive electrode active material for the lithium secondary battery, and D 90 is a 90% cumulative volume particle diameter of the positive electrode active material for the lithium secondary battery.)

6 . The positive electrode active material for the lithium secondary battery according to claim 1 ,

wherein L av is 80 Å or more and 150 Å or less.

7 . The positive electrode active material for the lithium secondary battery according to claim 1 ,

wherein L a is 500 Å or more and 700 Å or less.

8 . The positive electrode active material for the lithium secondary battery according to claim 3 ,

wherein the BET specific surface area is 1.5 m 2 /g or more.

9 . A positive electrode for a lithium secondary battery, comprising:

the positive electrode active material for the lithium secondary battery according to claim 1 .

10 . A lithium secondary battery, comprising:

the positive electrode for the lithium secondary battery according to claim 9 .

11 . The positive electrode active material for the lithium secondary battery according to claim 2 ,

wherein a BET specific surface area of the positive electrode active material for the lithium secondary battery is 0.2 m 2 /g or more and 2.5 m 2 /g or less.

12 . The positive electrode active material for the lithium secondary battery according to claim 2 , represented by a composition formula (I),

Li[Li a (Ni (1-y-z-w) Co y M z X w ) 1-a ]O 2   (I)

(in the composition formula (I), M is one or more elements selected from the group consisting of Mn, Fe, Cu, Ti, Mg, Al, Zn, Sn, Zr, Ga, B, Si, S, and P, X is one or more elements selected from the group consisting of Nb, W, and Mo, and the composition formula (I) satisfies −0.1≤a≤0.2, 0≤y≤0.5, 0<z≤0.7, 0<w≤0.1, and y+z+w<1.)

13 . The positive electrode active material for the lithium secondary battery according to claim 2 ,

wherein D 10 , D 90 , and D 50 satisfy (B),

( D 90 −D 50 )/( D 50 −D 10 )≤2.0  (B)

(in (B), D 10 is a 10% cumulative volume particle diameter of the positive electrode active material for the lithium secondary battery, D 50 is a 50% cumulative volume particle diameter of the positive electrode active material for the lithium secondary battery, and D 90 is a 90% cumulative volume particle diameter of the positive electrode active material for the lithium secondary battery.)

14 . The positive electrode active material for the lithium secondary battery according to claim 2 ,

wherein L av is 80 Å or more and 150 Å or less.

15 . The positive electrode active material for the lithium secondary battery according to claim 2 ,

wherein L a is 500 Å or more and 700 Å or less.

16 . The positive electrode active material for the lithium secondary battery according to claim 11 ,

wherein the BET specific surface area is 1.5 m 2 /g or more.

17 . A positive electrode for a lithium secondary battery, comprising:

the positive electrode active material for the lithium secondary battery according to claim 2 .

18 . A lithium secondary battery, comprising:

the positive electrode for the lithium secondary battery according to claim 2 .