TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Material: AAM is carbon from graphite microbeads, natural graphites, carbon fibers or graphitic flakes. LMO, phosphate or sulfate is Li cobalt oxide (LiCoO2), spinel Li manganate (LiMn2O4), chromium-doped spinel Li manganese oxides, layered Li manganese oxide (LiMnO2), Li nickel oxide (LiNiO2), Li-nickel-cobalt oxide (LiNixCo1-xO2), where x is 0-1, vanadium oxides, Li-iron phosphate (LiFePO4), and Li iron titanium sulfate (LiFeTi(SO4)3), preferably LiCoO2, LiMn2O4, LiNiO2 and/or LiNixCo1-xO2. The cathode current collector is a graphite having purity of 95% or more.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Solution: The electrolyte solution comprises an organic carbonate from ethylene, propylene, dimethyl and/or diethyl carbonate. The Li compound has a formula CF3SO2N-(Li+)SO2CF3.    TECHNOLOGY FOCUS - POLYMERS - Preferred Materials: The polymers (I,II) are chosen from polyvinylidene fluoride (PVDF) and copolymers, and ionomers having pendant groups containing fluorinated sulfonate, imide or methide Li salts and their mixtures, preferably PVDF or their copolymers.The separator sheet contains a polymeric component from microporous sheeting, solvent, swellable polymers, gelled polymer electrolytes, polyethers and/or fluorinated ionomers, preferably microporous polyolefin sheet. The separator sheet comprises PVDF or copolymers of vinylidene fluoride with a monomer from hexafluoropropylene, perfluoromethyl vinylether, perfluoroethyl vinylether and perfluoropropyl vinylether. The separator sheet contains an ionomer having a backbone or repeating units from vinylidene fluoride and perfluoroalkenyl monomer having an ionic pendant group of formula -(O-CF2CFR)aO-CF2(CFR')bSO3-Li+ and imide and methide derivatives.R, R' = F, Cl or 1-10C perfluorinated alkyl group;a = 0-2; andb = 0-6. EXAMPLE - A cathode film was formed using lithium cobalt oxide (LiCoO2) (in parts) (65), Super P carbon black (RTM; carbon black) (6.5), KYNAR FLEX 2801(RTM) (10) and dibutyl phthalate (DBP) (18.5) and acetone solvent (AS). An anode film was formed using a mixture of MCMB 2528 (RTM) (65), Super P carbon black (RTM; carbon black) (3.3), KYNAR FLEX 2801 (RTM) (10) and DBP (21.7) in AS. A separator film was formed using fumed silica (26), KYNAR FLEX 2801 (RTM) (32) and DBP (42) in AS. Grafoil (RTM) with a thickness of 75 approximately mm, electron resistivity of 8x10 to the power -6 in OMEGA-m and a density of 1.12 g/cm2 was formed by using graphite foil with an adhesion promoter containing Adocote 50C12 (RTM; copolymer of acrylic acid and ethylene) emulsion, carbon black and ethanol. A cell was formed into a laminated layered structure of G/C/C/S/A/Cu, where G was grafoil layer, C was cathode film, S was separator layer, A was anode layer and Cu was copper mesh current collector. The graphite foil was used as a cathode current collector and lithium salt (CF3SO2)2NLi was used. The cell was formed by Gozdz et al in US5456000 and US5540741, and exhibited electrochemical efficiency of 87.8%.