CATHODE ACTIVE MATERIAL PRECURSOR FOR LITHIUM SECONDARY BATTERY, CATHODE ACTIVE MATERIAL FOR LITHIUM SECONDARY BATTERY AND LITHIUM SECONDARY BATTERY

A cathode active material precursor for a lithium secondary battery has a structure of a nickel composite hydroxide. An oxygen position in a Z-axis direction measured by a Rietveld method in a space group P-3m crystal structure based on an X-ray diffraction (XRD) analysis is 0.200 or more. A cathode active material and a lithium secondary battery having a stabilized crystal structure are provided using the cathode active material precursor.