Asymmetric, secondary electrochemical cell, comprising 1.1 a negative electrode containing 1.1.1 as anode storage material a carbon-based storage material which allows the storage of electrical charge in the electrode by formation of an electrical double layer (Helmholtz double layer), and 1.1.2 in addition to the carbon-based storage material an additional storage material, which can store electrical energy with the aid of redox reactions, and 1.1.3 an anode current collector, 1.2 a positive electrode containing 1.2.1 as cathode storage material nickel hydroxide and/or nickel oxyhydroxide and/or a derivative of these nickel compounds and 1.2.2 a cathode current collector, 1.3 at least one porous separator layer with a first flat side and a second flat side between the negative electrode and the positive electrode, and also 1.4 an aqueous, alkaline electrolyte, with which the electrodes and the separator are impregnated, and 1.5 a housing, which encloses the electrodes, the separator and the electrolyte, wherein 1.6 the first flat side comprises a first region, which is in surface-area contact with the anode storage material of the negative electrode, and the second flat side comprises a second region, which is in surface-area contact with the cathode storage material of the positive electrode, and 1.7 the first region and the second region at least partially overlap in an overlapping region, characterized in that 1.8 the capacity of the negative electrode K n in relation to the capacity of the positive electrode K p is in a ratio X in the range of 0.7:1 to 5:1, wherein 1.9 the additional storage material is contained in the negative electrode in a proportion of 1.0 to 3% by weight. 1.1 a negative electrode containing 1.1.1 as anode storage material a carbon-based storage material which allows the storage of electrical charge in the electrode by formation of an electrical double layer (Helmholtz double layer), and 1.1.2 in addition to the carbon-based storage material an additional storage material, which can store electrical energy with the aid of redox reactions, and 1.1.3 an anode current collector, 1.1.1 as anode storage material a carbon-based storage material which allows the storage of electrical charge in the electrode by formation of an electrical double layer (Helmholtz double layer), and 1.1.2 in addition to the carbon-based storage material an additional storage material, which can store electrical energy with the aid of redox reactions, and 1.1.3 an anode current collector, 1.2 a positive electrode containing 1.2.1 as cathode storage material nickel hydroxide and/or nickel oxyhydroxide and/or a derivative of these nickel compounds and 1.2.2 a cathode current collector, 1.2.1 as cathode storage material nickel hydroxide and/or nickel oxyhydroxide and/or a derivative of these nickel compounds and 1.2.2 a cathode current collector, 1.3 at least one porous separator layer with a first flat side and a second flat side between the negative electrode and the positive electrode, and also 1.4 an aqueous, alkaline electrolyte, with which the electrodes and the separator are impregnated, and 1.5 a housing, which encloses the electrodes, the separator and the electrolyte, wherein 1.6 the first flat side comprises a first region, which is in surface-area contact with the anode storage material of the negative electrode, and the second flat side comprises a second region, which is in surface-area contact with the cathode storage material of the positive electrode, and 1.7 the first region and the second region at least partially overlap in an overlapping region, characterized in that 1.8 the capacity of the negative electrode K n in relation to the capacity of the positive electrode K p is in a ratio X in the range of 0.7:1 to 5:1, wherein 1.9 the additional storage material is contained in the negative electrode in a proportion of 1.0 to 3% by weight.