NOVELTY - A lithium-ion secondary cell (1) has positive electrode (2), negative electrode (3) and non-aqueous electrolyte. The non-aqueous electrolyte contains an electrolyte (a) and electrolyte (b). The electrolyte (a) contains lithium salt containing fluoride. The electrolyte (b) contains substituted dione compound of formula (1). The positive electrode contains lithium-transition metal composite oxide as positive active material. The negative electrode contains metal oxide nano particles containing oxide of metallic elements such as titanium, vanadium, chromium or manganese.    USE - Lithium-ion secondary cell is used for battery used for hybrid vehicles, personal computer and mobile telephone.    ADVANTAGE - The lithium-ion secondary cell has excellent charging-discharging capacitance and increased resistance.    DETAILED DESCRIPTION - A lithium-ion secondary cell has a positive electrode, a negative electrode and non-aqueous electrolyte. The non-aqueous electrolyte is formed by dissolving an electrolyte in a non-aqueous solvent. The non-aqueous electrolyte contains an electrolyte (a) and electrolyte (b). The electrolyte (a) contains lithium salt containing fluoride. The electrolyte (b) contains substituted dione compound of formula (1). The positive electrode contains lithium-transition metal composite oxide as positive active material. The negative electrode contains metal oxide nano particles containing oxide of metallic elements chosen from titanium, vanadium, chromium, manganese, iron, cobalt, nickel, copper, zinc, molybdenum, niobium, lead or tungsten as negative electrode active material. The metal oxide nano particles have average particle diameter of 0.1-1 mu m before performing charging and discharging.    M=transition metal, group-III, group-IV or group-V element of periodic table;    Aa+=metal ion, proton or onium ion;    a,b=1-3;    p=b/a;    m=1-4;    n=0-8;    q=0 or 1;    R1=1-10C alkylene, 6-20C arylene, 1-10C halogenated alkylene or 6-20C halogenated arylene;    R2=halogen, 1-10C alkyl, 1-10C halogenated alkyl, 6-20C aryl, 6-20C halogenated aryl or X3R3;    X1-X3=oxygen, sulfur or NR4;and    R3,R4=H, 1-10C alkyl, 1-10C halogenated alkyl, 6-20C aryl or 6-20C halogenated aryl.    The alkylene, arylene, alkyl and aryl groups optionally contain substituents or heteroatom. R1,R2, R3 and R4 optionally form ring.    DESCRIPTION OF DRAWING(S) - The drawing shows the schematic view of lithium ion secondary cell. (Drawing includes non-English language text)    Lithium ion secondary cell (1)    Positive electrode (2)    Negative electrode (3)    Separator (4)    Battery case (6)