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1.2 Electrochemical Fundamentals  11


                                  −
                    Zn → Zn 2+  + 2e , normal potential ε 00 =−0.76 V NHE
                                  −
                    Cu → Cu 2+  + 2e , normal potential ε 00 =+0.34 V NHE
               For the Daniell element in Figure 1.2 the following potential difference is obtained:

                     ε 00 = ε 00, Cu/Cu 2+ − ε 00, Zn/Zn 2+                (1.1)


                    Cu/Cu 2+  = + 0.34 V  terminal voltage
                                             = 1.10 V      +
                          +
                     H  /2H =  0.00 V                 H  /2H =  0.00 V
                                                        2
                      2
                                                      Zn/Zn 2+  =− 0.76 V
               Under equilibrium conditions the potential difference  ε 0 corresponds to the
               terminal voltage of the cell.
                If there are no standard conditions or if it should not be possible to measure the
               standard potential, the value can be determined by thermodynamic calculations
               (see Section 1.4.1).
                For the arrangement of a galvanic cell for use as a power source the half cells
               are chosen such that their potentials ε I,II are as far apart as possible. Therefore,
               it is obvious why alkaline metals, especially lithium or sodium, are interesting as
               new materials for the negative electrode. As they have a strong negative standard
               potential and a comparatively low density, a high specific energy can be realized by
               combination with a positive electrode.
                The following examples, the Daniell element, nickel-cadmium cells, and
               lithium-manganese dioxide cells, show the influences of the electrode materials
               on different cell parameters.

               1.2.3
               Discharging

               During the discharge process, electrons are released at the anode from the
               electrochemically active material, which is oxidized. At the same time, cathodic
               substances are reduced by receiving electrons. The transport of the electrons occurs
               through an external circuit (the consumer).
                Looking at first at the anode, there is a relationship between the electronic current
               I and the mass m of the substance which donates electrons, and this is known as
               the first Faraday law [7]:
                         M
                    m =     · I · t                                        (1.2)
                        z · F
               m = active mass
               M = molar mass
               z = number of electrons exchanged
                                                        −1
               F = Faraday constant: 96 485 C mol −1  = 26.8 Ah mol .
                t = time
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