Page 33 - Lindens Handbook of Batteries
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1.10      PRINCIPLES OF OPERATION

                                Anode (oxidation potential) + cathode (reduction potential) = standard cell potential
                             For example, in the reaction Zn + Cl  → ZnCl , the standard cell potential is:
                                                               2
                                                        2
                                                       Zn →  Zn +  2 +  2e  −−0 76  V)
                                                                        .
                                                                     (
                                                                        .
                                                      Cl →  Cl −2  −  2e  136  V
                                                        2
                                                                        .
                                                                E °=   212  V
                                The cell voltage is also dependent on other factors, including concentration and temperature, as
                             expressed by the Nernst equation (covered in detail in Chap. 2).
                 1.4.3  Theoretical Capacity (Coulombic)
                             The theoretical capacity  of a cell is  determined by  the  amount  of  active materials  in the  cell.  It  is
                             expressed as the total quantity of electricity involved in the electrochemical reaction and is defined in
                             terms of coulombs or ampere-hours. The “ampere-hour capacity” of a battery is directly associated with
                             the quantity of electricity obtained from the active materials. Theoretically, 1 gram-equivalent weight of
                             material will deliver 96,487 C or 26.8 Ah. (A gram-equivalent weight is the atomic or molecular weight
                             of the active material in grams divided by the number of electrons involved in the reaction.)
                                The electrochemical equivalence of typical materials is listed in Table 1.1 and Appendix C.



                 TABLE 1.1  Characteristics of Typical Electrode Materials*

                                Atomic or   Standard                            Electrochemical equivalents
                                molecular   reduction potential  Valence   Melting   Density,
                  Material      weight, g   at 25°C, V   change  point, °C  g/cm 3  Ah/g   g/Ah   Ah/cm 3
                                                      Anode materials
                  H               2.01      0          2       —        —      26.59    0.037    —
                   2
                                           –0.83 †
                  Li             6.94      –3.01       1      180      0.54     3.86    0.259   2.06
                  Na             23.0      –2.71       1       98      0.97     1.16    0.858   1.14
                  Mg             24.3      –2.38       2      650      1.74     2.20    0.454   3.8
                                            –2.69 †
                  Al             26.9       –1.66      3      659      2.69     2.98    0.335   8.1
                  Ca             40.1       –2.84      2      851      1.54     1.34    0.748   2.06
                                            –2.35 †
                  Fe             55.8       –0.44      2     1528      7.85     0.96    1.04    7.5
                                            –0.88 †
                  Zn             65.4       –0.76      2      419      7.14     0.82    1.22    5.8
                                            –1.25 †
                  Cd            112.4       –0.40      2      321      8.65     0.48    2.10    4.1
                                            –0.81 †
                  Pb            207.2       –0.13      2      327      11.34    0.26    3.87    2.9
                  (Li)C  §       72.06     ∼ –2.8      1       —       2.25     0.372   2.69    0.837
                     6
                  MH ¶                      –0.83 †    2       —       —        0.305   3.28    —
                  CH OH          32.04       —         6       —       —        5.02    0.20    —
                    3
                                                                                             (Continued)
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