NOVELTY - A rechargeable electrochemical cell (10) is configured such that during discharging, the fuel electrode (14) oxidizes the metal fuel, and the air electrode (12) reduces the oxidizer (20), thus generating a discharging potential difference between the electrodes, and during charging, metal ions of the low melting temperature metal fuel are reduced and electrodeposited onto the fuel electrode as the low melting temperature metal fuel for absorption in liquid form by the fuel electrode, and the charging electrode oxidizes ions of the oxidizer.    USE - Rechargeable electrochemical cell for generating power.    ADVANTAGE - Since the liquid metals do not form dendrites, the dendritic shorting between the charging and fuel electrodes during remaining iron and unavoidable impurity-charging is eliminated.    DETAILED DESCRIPTION - A rechargeable electrochemical cell consists of porous fuel electrode for absorbing low melting temperature metal fuel in liquid form, air electrode for exposure to source of gaseous oxidizer, charging electrode chosen from air electrode and third electrode, and ionically conductive medium. The electrodes are spaced apart from one another. The ionically conductive medium comprises a low temperature ionic liquid, and is contained between the electrodes for conducting ions to support the electrochemical reactions at the electrodes. The cell is configured such that during discharging with the fuel and air electrodes coupled to a load, the fuel electrode oxidizes the metal fuel, and the air electrode reduces the oxidizer, thus generating a discharging potential difference between the fuel and air electrodes, and is configured such that during charging with the fuel and charging electrodes coupled to a power source to apply a charging potential difference between the electrodes, metal ions of the low melting temperature metal fuel are reduced and electrodeposited onto the fuel electrode as the low melting temperature metal fuel for absorption in liquid form by the fuel electrode, and the charging electrode oxidizes ions of the oxidizer. An INDEPENDENT CLAIM is included for method for operating rechargeable electrochemical cell.    DESCRIPTION OF DRAWING(S) - The drawing shows the structure of the rechargeable electrochemical cell.    Rechargeable electrochemical cell (10)    Air electrode (12)    Fuel electrode (14)    Ionic liquid (18)    Oxidizer (20)