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14.5 Thermodynamic Basis for Electrode Potentials and Capacities  411

               electrodes in ternary systems [29–32]. This followed from the development of the
               analysis methodology for the determination of the stability windows of electrolyte
               phases in ternary systems [33]. In these cases, one uses isothermal sections
               of ternary phase diagrams, the so-called Gibbs triangles, upon which to plot
               compositions. In ternary systems, the Gibbs Phase Rule tells us that three-phase
               equilibria will have composition-independent intensive properties, that is, activities
               and potentials. Thus compositional ranges that span three-phase regions will lead
               to potential plateaus at constant temperature and pressure.
                Estimated data on a number of ternary lithium systems theoretically investigated
               as extensions of the Li–Si binary system are included in Table 14.2. Also included
               are comparable data for the binary Li–Si alloy that are currently being used in
               commercial thermal batteries.
                This thermodynamically based methodology provides predictions of the lithium
               capacities in addition to the electrode potentials of the various three-phase equilibria
               under conditions of complete equilibrium. This information is included as the last
               column in Table 14.2, in terms of the number of moles of lithium per kilogram
               total alloy weight.
                From a practical standpoint, the most useful compositions would be those with
               quite negative potentials (so as to give high cell voltages) that also have large
               capacities for lithium. However, it must be recognized that the materials with the
               most negative potentials, and thus the highest lithium activities, will be the most
               reactive, and thus will be more difficult to handle than those whose potentials are
               somewhat farther from that of pure lithium.
                As recently pointed out [32], several of these ternary systems appear to have
               potentials and capacities that should make them quite interesting for practical

                                                                        ◦
               Table 14.2  Estimated data relating to lithium–silicon-based ternary systems at 400 C.
                                                                            –1
               System  Starting composition Phases in equilibrium  Voltage (mV) vs Li Li (mol kg )
               Li–Si–Mo  Mo 5 Si 3     Mo 5 Si 3 –Mo 3 Si–Li 22 Si 5  3  9.7
               Li–Si–Ca  CaSi          CaSi–Ca 2 Si–Li 22 Si 5  13      26.4
               Li–Si–Mn Mn 3 Si        Mn 3 Si–Mn–Li 22 Si 5  43        19.7
               Li–Si–Mn Mn 5 Si 3      Mn 5 Si 3 –Mn 3 Si–Li 13 Si 4  45  11.1
               Li–Si–Mg  Mg 2 Si       Mg 2 Si–Mg–Li 13 Si 4  60        32.7
               Li–Si–Mo  MoSi 2        MoSi 2 –Mo 5 Si 3 –Li 13 Si 4  120  24.8
               Li–Si–Cr  Cr 5 Si 3     Cr 5 S 13 –Cr 3 Si–Li 13 Si 4  138  11.6
               Li–Si   Li 7 Si 3       Li 7 Si 3 –Li 13 Si 4  158       18.1
               Li–Si–Mn MnSi           MnSi–Mn 5 Si 3 –Li 7 Si 13  163  10.4
               Li–Si–Ti  TiSi          TiSi–Ti 5 Si 3 –Li 7 Si 3  182   11.3
               Li–Si–Nb  NbSi 2        NbSi 2 –Nb 5 Si 3 –Li 7 Si 3  184  19.0
               Li–Si–V  VSi 2          VSi 2 –V 5 Si 3 –Li 7 Si 3  191  25.2
               Li–Si–Cr  CrSi          CrSi–Cr 5 Si 3 –Li 7 Si 3  205   10.8
               Li–Si–Ta  TaSi 2        TaSi 2 –Ta 5 Si 3 –Li 7 Si 3  211  12.6
               Li–Si–Cr  CrSi 2        CrSi 2 –CrSi–Li 7 Si 3  223      18.8
               Li–Si–Ni  Ni 7 Si 13    Li 7 Si 13 –Nisi–Li 12 Si 7  316  12.1
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