[1]Mutual citations and related applications [2]This application claims the benefit of priority based on the date of July 04, Korea Patent Application No. 10-2016-0084359 and No. 03 dated July 2017 Korea Patent Application No. 10-2017-0084337, 2016, and of the Korea Patent Application everything described in the literature are included as part of the specification. [3] [4] Art [5] The present invention relates to a production method and hence the positive electrode active material prepared in accordance with the active material without concern for damage or deterioration in characteristics of the surface, a positive electrode which doping elements are uniformly doped active material can exhibit excellent structural stability. BACKGROUND [6] Lithium secondary batteries since appeared in 1991 as a small, lightweight, high-capacity batteries, widely used as a power source for mobile devices. In recent years, electronic, communication, with the rapid development of computer industry, a camcorder, has been continued to the appearance and remarkable development cell, such as a notebook PC, these portable electronic information day by day increasing demand for lithium secondary batteries as a power source for driving the communication device and. [7] The lithium secondary battery has a falling rapidly For this reason, the life as the repeated charge and discharge problems. In particular, this problem is more serious in a high temperature or a high voltage. The reason for this is that decomposition of the electrolyte in the battery due to moisture or other active material is affected or deteriorated, resulting also is the internal resistance of the battery increases phenomenon. [8] Accordingly, a lithium secondary battery positive electrode active material that is being used is active research and development is now the layer structure of LiCoO 2 is. LiCoO 2 has a limit doegie but the most widely used, the structural stability is excellent in life characteristics and the charge-and-discharge efficiency of the technology applied to a high capacity battery decreases. [9] As a positive electrode active material to replace them, LiNiO 2 , LiMnO 2 , LiMn 2 O 4 , LiFePO 4 , or Li (Ni x CoyMnz) O 2 a variety of lithium-transition metal oxide, such as has been developed. Double, LiNiO 2 for, but the advantage of showing the characteristics of the cell of the high discharge capacity, a simple solid-phase reaction is difficult to synthesize, it has a low thermal stability, and cycle characteristic problem. Further, LiMnO 2 , or LiMn 2 O 4 lithium-manganese-based oxide, such as, but is advantageous in that thermal stability is excellent, a low price, a small capacity, there is a problem of low temperature properties. In particular, LiMn 2 O 4 for a part in merchandising products, but low cost, Mn 3 +Because of the structure deformed (Jahn-Teller distortion) due to the not good life property. In addition, LiFePO 4 is excellent in low price and safety of current hybrid cars (hybrid electric vehicle, HEV), but many studies have been done for, due to the low conductivity applied to other fields is a difficult situation. [10] Because of such circumstances, LiCoO 2 materials which under the spotlight recently as a replacement cathode active material is Li (NixCoyMnz) O 2 (In this case, the x, y, z is an atomic fraction of each independent oxide composition element, 0