l carbonate is used as a solvent in the non-aqueous electrolyte solution thereby inhibiting the aforesaid reactionof a compound oxide of lithium and transition metal s with the non-aqueous electrolyte solution, as disclosed in Japanese Unexamined Patent Publication No.4(1992)-184872.However, in the case where the compound oxide of lithium and metals including Co, Ni, Mn and the like is used as the