NOVELTY - A lithium-ion secondary battery (1) contains positive electrode active material, negative electrode active material and nonaqueous electrolytic solution (8). The positive electrode active material contains composite oxide of lithium and transition metal. The negative electrode active material is formed using carbon material. The nonaqueous electrolytic solution contains lithium hexafluorophosphate, carbonate and anion compound (I).    USE - Lithium-ion secondary battery is used as power supply for portable appliances, motor vehicle and hybrid vehicle.    ADVANTAGE - The lithium-ion secondary battery has excellent charging and discharging characteristics and high capacity.    DETAILED DESCRIPTION - A lithium-ion secondary battery contains positive electrode active material, negative electrode active material and nonaqueous electrolytic solution. The positive electrode active material contains composite oxide of lithium and transition metal. The negative electrode active material is formed using carbon material. The nonaqueous electrolytic solution contains lithium hexafluorophosphate. The nonaqueous electrolytic solution contains carbonate and anion compound of formula (I).    M=transition metal, III group, IV group or V group elements;    b=1-3;    m=1-4;    n=0-8;    q=0 or 1;    R1=1-10C alkylene or 6-20C arylene (both optionally substituted by halo, substituent or heteroatom);    or m number of R1=ring;    R2=halo, X3R3, or 1-10C alkyl or 6-20C aryl (both optionally substituted by halo, substituent or heteroatom);    or n number of R2=ring;    X1, X2, X3=O, S or NR4;and    R3,R4=H, or 1-10C alkyl or 1-10C aryl (both optionally substituted by halo, substituent or heteroatom).    An INDEPENDENT CLAIM is included for manufacture of lithium-ion secondary battery, which involves charging battery containing positive electrode active material and negative electrode active material, until voltage of battery reaches upper-limit voltage value. The battery is charged such that the battery accommodates a nonaqueous electrolytic solution which does not contain anion compound (I) and contains carbonate and lithium hexafluorophosphate, during a period until the voltage of the battery reaches decomposition voltage value of carbonate from start of initial charging voltage to upper-limit voltage value.    DESCRIPTION OF DRAWING(S) - The drawing shows schematic view of lithium-ion secondary battery.    Lithium-ion secondary battery (1)    Positive plate (2)    Negative plate (3)    Electrode component (5)    Nonaqueous electrolytic solution (8)