A composite oxide suitable for an active material of a positive electrode for a lithium secondary cell which can be used in a wide range of voltage, has a large electric capacity and excellent low temperature performance and is excellent in the durability for charge-discharge cycles and highly safe, a process for its production, and a positive electrode and a cell employing it, are presented.The composite oxide is a lithium-cobalt composite oxide which is represented by the formula LiCo.sub.1-xM.sub.xO.sub.2, (wherein 0.ltoreq.x.ltoreq.0.02 and M is at least one member selected from the group consisting of Ta, Ti, Nb, Zr and Hf), and which has a half-width of the diffraction peak for (110) face at 2.theta.=66.5.+-.1.degree., of from 0.070 to 0.180.degree., as measured by the X-ray diffraction using CuK.sub..alpha. as a ray source.

 
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