TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Compound: Carbonaceous material(s) is contained as negative-electrode active material having a Raman R value defined as ratio of peak intensity of 1360 cm-1 with respect to peak intensity of 1580 cm-1 in the argon-ion-laser-Raman-spectrum method, of 0.1 or more.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Composition: The compound has urethodione, oxadiazinetrione, biuret, urethane, allophanate and/or isocyanurate skeleton. The compound has a number average molecular weight of 300-5000. The nonaqueous electrolyte solution contains 0.5-3 mol/L of lithium hexafluorophosphate. The nonaqueous electrolyte solution further contains 0.01-5 %mass of monofluorophosphate, difluorophosphate, tetrafluoroborate, and/or lithium compound of formula: LiN(ClF2l+1SO2)(CmF2m+1SO2) or LiCnF2n+1SO3, metal oxalate of formula: (M1)a(M2(C2O4)bRc)d, and/or silicon-containing compound of formula: (R1-)e-M3-O-Si(-R2)(-R4)-R3.l,m,n=0-4;M1=group 1 element, group 2 element, or aluminum, preferably lithium;M2=transition metal, group 13 element, group 14 element, or group 15 element, preferably phosphorus or boron;R=halo, 1-11C alkyl, or 1-11C halo-substituted alkyl;a,b=positive integer;c=0 or positive integer;d=1-3;M3=metal atom, phosphorus atom, boron atom, or P=O, preferably boron or P=O;R1=1-11C alkyloxy, silyloxy, or 1-11C alkylsilyloxy;andR2-R4=1-11C alkyl, 1-11C alkenyl, 1-11C alkyloxy, or 6-11C aryl.The monofluorophosphate, difluorophosphate, tetrafluoroborate, lithium compound, metal oxalate, and/or silicon-containing compound are preferably monofluoro lithium phosphate, difluoro lithium phosphate, lithium tetrafluoroborate, lithium bis(fluorosulfonyl)imide, lithium bis(trifluoromethanesulfonyl)imide, lithium fluorosulfonate, lithium trifluoromethanesulfonate, lithium bis(oxalato)borate, lithium difluoro oxalatoborate, lithium tris(oxalato)phosphate, lithium difluorobis(oxalato)phosphate, lithium tetrafluoro-oxalate phosphate, tris(trimethylsilyl)borate, and/or tris(trimethylsilyl)phosphate. The nonaqueous electrolyte solution contains unsaturated cyclic carbonate, fluorinated cyclic carbonate, and/or dinitrile compound of formula: NC-A-CN.A=H, carbon, nitrogen, oxygen, sulfur, phosphorus, or 1-10C organic group containing halo.    TECHNOLOGY FOCUS - POLYMERS - Preferred Component: The separator contains polyethylene and/or polypropylene.