TECHNOLOGY FOCUS - ELECTRICAL POWER AND ENERGY - Preferred Dimension: The thickness of the layer of energy-accumulating redox polymer is 1 nm - 20 micrometers.Preferred Components: The conducting substrate has a flat or developed surface. The device comprises an electrochemical capacitor or battery including a casing (1). The electrodes are in spaced relation in the casing. Electrolyte (4) fills the space between the electrodes. The electrolyte is electrochemically inactive at potentials of -3.0 - +1.5 V. It includes ions, each having a diameter of not more than 0.6 nm. The ions are in solution in an organic solvent to not less than 0.01 mol/L. A stabilizer is included in the composition of the electrolyte. A thickener transforms the electrolyte into the gel-like state. A separator (7) separates the space between the electrodes into the cathode space and anode space. The casing of the capacitor is made of material that is resistant to the action of electrolyte. Auxiliary components are included on the casing for pouring electrolyte and for pressure relief. Optionally, one electrode may be formed of electrically conductive material.    TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Materials: The conducting substrate is made of carbon optionally coated with metal. It may also be made of metal.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Materials: The ions in the electrolyte are ions of a salt of tetrabutylammonium, tetramethylammonium or tetraethylammonium perchlorate, tetrafluoroborate or hexafluorophosphate. The solvent is acetonitrile, dimethyl ketone or propylene carbonate.    TECHNOLOGY FOCUS - POLYMERS - Preferred Materials: The polymer complex compound of transition metal comprises stacked transition metal complex monomers having planar structure with the deviation from the plane of not more than 0.1 nm and having a branched system of conjugated pi-bonds. It may comprise a polymer metal complex with a substituted tetra-dentate Schiff's base, preferably poly-(Me(R,R'-Salen)) of formula (I), poly-(Me(R,R'-Saltmen)) of formula (II) or poly(Me(R,R'-Salphen)) of formula (III).Me = transition metal (preferably Ni, Pd, Co, Cu, or Fe);Salen = residue of bis-(salicylaldehyde)-ethylenediamine in Schiff's base;R = H or electron-donating substituent, e.g. CH3O-, C2H5O-, HO- or -CH3;R' = H or HaIogen;n = 2-200000;Saltmen = residue of bis-(salicylaldehyde)-tetramethylethylenediamine in Schiff's base;Salphen = residue of bis-(salicylaldehyde)-o-phenylenediamine in Schiff's base.