A raw material powder composed of lithium complex oxide is prepared. The powder preferably comprises pre-synthesized platy particles (e.g., LiCoO2 platy particles) having a composition of LiMO2 (M as described above). The volume-based D50 particle diameter of the raw material powder is preferably 0.3 to 30 μm. For example, the LiCoO2 platy particles can be produced as follows. Co3O4 powder and Li2CO3 powder as raw materials are mixed and fired (500 to 900° C., 1 to 20 hours) to synthesize LiCoO2 powder. The resultant LiCoO2 powder is milled into a volume-based D50 particle diameter of 0.2 μm to 10 μm with a pot mill to yield platy LiCoO2 particles capable of conducting lithium ions along the faces of the plate. Such LiCoO2 particles are also produced by a procedure involving grain growth in a green sheet from LiCoO2 powder slurry and crushing the green sheet, or a procedure involving synthesis of platy crystals, such as a flux process, a hydrothermal synthesis process, a single crystal growth process using a melt, and a sol gel process. The resultant LiCoO2 particles are readily cleaved along cleavage planes. The LiCoO2 particles may be cleaved by crushing to produce LiCoO2 platy particles.