TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Composition: An active material of the positive electrode is a transition metal oxide which releases alkali metal ion. The transition metal oxide is of formulae: LiaM1Ob (1a), LicM22Od (1b) and LieM3(PO4)f (1c). The active material of the positive electrode is lithium cobaltate, lithium manganate, lithium nickelate, lithium-nickel-manganese-cobalt-oxide, manganese-lithium nickelate, lithium nickel cobalt aluminum or lithium iron phosphate. An active material of the negative electrode is obtained using lithium titanate (LTO) or (composite) carbon material.M1,M2=Co, Ni, Fe, Mn, Cu, or V;M3=V, Ti, Cr, Mn, Fe, Co, Ni, or Cu;M1-M3=element of group I other than lithium, element of group II, Al, Ga, In, Ge, Sn, Pb, Sb, Bi, Si, P, or B;a=0-1.2;b=1-3;c=0-2;d=3-5;e=0-2;andf=1-5.Preferred Properties: The electric potential of positive electrode of battery is more than 4.25 V based on lithium/lithium ion standard. The resistance-increase rate of the battery is 5 or more, which is calculated using a relation: resistance-increase rate=(resistance after charging to the positive electrode electric potential 5 V) /(resistance after charging to the positive electrode electric potential 4.1 V).    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Composition: The organic boron compound or organoaluminum compound has heterocyclic ring containing hetero atoms chosen from nitrogen, oxygen, sulfur and phosphorus, preferably nitrogen. The organic boron compound or organoaluminum compound preferably has 5-membered heterocyclic ring. The heterocyclic ring has pyrazole or a triazole in a structure. The organic boron compound or organoaluminum compound has structure portion of formula (IA). A nitrogen-containing compound which has structure portion (IA) is of formula (I) or (II). A nitrogen-containing compound (II) is preferably of formula (III) or (IV). A nitrogen-containing compound (III) is preferably of formula (V) or (VI). The electrolyte solution further comprises compound chosen from aromatic compound (a), halogen-containing compound (b), polymerizable compound (c), phosphorus-containing compound (d), sulfur-containing compounds (e), silicon-containing compound (f), nitrile compound (g), metal complex compound (h) and imide compound (i). The content of organic boron compound or organoaluminum compound is 0.001-10 %mass.M,M1,M2=B or Al;Het=5 or 6-membered heterocyclyl with N-N coupling;R1-R3=halo, amino, silyl, alkoxy, aryloxy, acyloxy, heteroaryl oxy, sulfonyloxy, alkyl, aryl, or heteroaryl;R1+R2+R3=ring;R4-R6=H, alkyl, alkoxy, halo, acyloxy, alkoxycarbonyl, cyano, amino, silyl, aryl, or heteroaryl;R4+R5+R6=ring;R1-R6+N or C=ring;Z1+=inorganic or organic catio;X1-X4=C or N;R10-R13=halo, alkoxy, aryloxy, acyloxy, heteroaryl oxy, sulfonyloxy, alkyl, aryl, or heteroaryl;m+n=0-3;andY'=metal atoms other than B and Al.