NOVELTY - A lithium ion secondary cell (1) has an anode (2), a cathode (3) and non-aqueous electrolyte obtained by dissolving an electrolyte into a non-aqueous solvent. The anode contains an anode active material consisting of a metallic compound of formula: LitMgxNiyMezO2. The cathode contains a cathode active material consisting of graphite, hardly graphitizing carbon or easily graphitizing carbon. The non-aqueous electrolyte contains an electrolyte dissolved in organic solvent. The electrolyte contains specific anion compound (A) (1).    USE - For motor vehicles.    ADVANTAGE - The lithium ion secondary cell has favorable charging-and-discharging characteristics and internal resistance.    DETAILED DESCRIPTION - A lithium ion secondary cell (1) has an anode (2), a cathode (3) and non-aqueous electrolyte obtained by dissolving an electrolyte into a non-aqueous solvent. The anode contains an anode active material consisting of a metallic compound of formula: LitMgxNiyMezO2. The cathode contains a cathode active material consisting of graphite, hardly graphitizing carbon or easily graphitizing carbon. The non-aqueous electrolyte contains an electrolyte dissolved in organic solvent. The electrolyte contains anion compound (A) (1).    Me=aluminum, cobalt or manganese;    t=0.8-1.3;    x=0.01-0.2;    y=0.6-0.98;    z=0.01-0.2;    x+y+z=1;    M=transition metal, III group element, IV group element or V group element;    b=1-3;    m=1-4;    n=0-8;    q=0 or 1;    R1=1-10C alkylene, 1-10C halogenated alkylene, 6-20C arylene or 6-20C halogenated arylene, each optionally having substituent and hetero atom;    R2=1-10C alkyl, halogen, 1-10C alkyl halide, 6-20C aryl, 6-20C halogenated aryl or X3R3 in which alkyl and aryl groups optionally have substituent and hetero atom;    X1-X3=oxygen, sulfur or NR4;and    R3,R4=H and group (G) chosen from 1-10C alkyl, 1-10C alkyl halide, 6-20C aryl or 6-20C halogenated aryl, each optionally having substituent and heteroatom, and optionally couple to form a ring.    DESCRIPTION OF DRAWING(S) - The figure shows the explanatory drawing of structure of lithium ion secondary cell. (Drawing includes non-English language text)    Lithium ion secondary cell (1)    Anode (2)    Cathode (3)    Separator (4)    Battery case (6)