What is claimed is:
1. A cathode active material for a lithium secondary battery comprising a plurality of a composite particle, each of which comprises:
a lithium metal phosphate particle having an olivine structure and is represented by Chemical Formula 1:
Li a M x P y O 4+z [Chemical Formula 1]
wherein, in Chemical Formula 1, 0.9≤a≤1.2, 0.99≤x≤1.01, 0.9≤y≤1.2, −0.1≤z≤0.1, and M is a metal including at least one selected from the group consisting of Fe, Co, Ni and Mn; and
a carbon coating formed on at least a portion of a surface of the lithium metal phosphate particle;
wherein a standard deviation of thickness values of the carbon coating measured by an X-ray photoelectron spectroscopy (XPS) for five different composite particles of the plurality of the composite particle is 15 nm or less,
an average of the thickness values of the carbon coating is in a range from 5 nm to 15 nm,
a content of the carbon coating is in a range from 0.8 wt % to 1.4 wt % based on a total weight of the composite particle,
the cathode active material is made from a mixture of a lithium source, a metal phosphate, a carbon source comprising glucose, and a dispersing agent selected from group consisting of sodium hexametaphosphate, sodium tripolyphosphate, pyrophosphate, and combinations thereof, and
the glucose is in an amount of 3.5 to 17% based on the total weight of the lithium source, the metal phosphate, the glucose, and the dispersing agent, and
the dispersant agent is in an amount of 0.05 to 0.2% based on the total weight of the lithium source, the metal phosphate, the glucose, and the dispersing agent.
2. The cathode active material for a lithium secondary battery according to claim 1 , wherein M includes Fe.
3. The cathode active material for a lithium secondary battery according to claim 1 , wherein an average of the thickness values of the carbon coating is in a range from 6.5 nm to 13 nm.
4. The cathode active material for a lithium secondary battery according to claim 1 , wherein the standard deviation of the thickness values of the carbon coating is 9 nm or less.
5. The cathode active material for a lithium secondary battery according to claim 1 , wherein the thickness value of the carbon coating is an etching depth at a point where a carbon concentration and a concentration of a metal element except for lithium contained in the lithium metal phosphate particle which are measured by etching a surface of the composite particle using an argon ion gun of the XPS are equal.
6. The cathode active material for a lithium secondary battery according to claim 1 , wherein the lithium metal phosphate particle contains a doping element including at least one selected from the group consisting of Na, Mg, Ca, Y, Ti, Hf, V, Nb, Ta, Cr, Mo, W, Fe, Cu, Ag, Zn, B, Al, Ga, C, Si, Sn, Sr, Ba, Ra, P and Zr.
7. A lithium secondary battery, comprising:
a cathode comprising the cathode active material for a lithium secondary battery of claim 1 ; and
an anode facing the cathode.
8. The lithium secondary battery of claim 7 , further comprising separator interposed between the cathode and the anode.