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66   Principles and Methods

        TABLE 3.3  Guidelines for the Choice of Reducing Agents and Reaction Conditions
        in the Precipitation of Metal Particles [117]
                           0
        Metal species     E (V)     Reducing Agent   Conditions   Rate
           3      4
        Au , Au , Pt ,    
 0.7     organic acids,   
70 C        Slow
           2
         Pt , Pd 2                   alcohols, polyols
              3    2   3
        Ag , Rh , Hg , Ir           aldehydes, sugars  	50 C      Moderate
                                                     Ambient      Fast
                                    hydrazine, H 2 SO 3
                                    NaBH 4 , boranes,   Ambient   Very fast
           2
               3
        Cu , Re , Ru 3    0.7 and 
0  polyols          120 C      Slow
                                    aldehydes, sugars  70–100 C   Slow
                                    hydrazine, hydrogen  	 70 C   Moderate
                                                     Ambient      Fast
                                    NaBH 4
               2
          2
                   2
        Cd , Co , Ni , Fe 2   	 0 and 
  polyols      180 C       Slow
                           0.5
                   3
              2
          3
        In , Sn , Mo , W 6          hydrazine        70–100 C     Slow
                                    NaBH 4 , boranes  Ambient     Fast

                                    hydrated e , radicals  Ambient  Very fast
          3    2   5   2
        Cr , Mn , Ta , V  	 0.6     NaBH 4 , boranes  T, P   ambient Slow

                                    hydrated e , radicals  Ambient  Fast
        The driving force of the reaction is the difference,  E , between the stan-
                                                                    0
                                                                z
        dard redox potentials of the two redox couples implicated, E(M /M ) and
        E(Ox/Red). The value of  E  determines the composition of the system
        through the equilibrium constant K given by:
                                ln K   nF  E /RT
        The reaction is thermodynamically possible if  E  is positive, but prac-
        tically, its value must be at least 0.3 to 0.4, otherwise the reaction pro-
        ceeds too slowly to be useful. Thus, highly electropositive metals (Ag, Au,
                                               0       0
        Pt, Pd, Ru, Rh) with standard potentials E (Mn /M )   0.7 V react with
        mild reducing agents while more electronegative metals (Co, Fe, Ni)
               0       0
        with E (Mn /M ) 	 0.2 V need strongly reducing agents and have to
        be manipulated with care because the metallic nanoparticles are very
        sensitive to oxidation. Some widely used reactions are listed in Table 3.3.
        Complexation of cations in solution plays an important role on their
        reducibility and, as the stability of complexes increases, reduction is
        more difficult (Table 3.4).
        TABLE 3.4  Influence of Silver Ion Complexation on the Redox Potential
        Couple                                logK                  E (V)
                   0
        Ag   e → Ag                                                  0.80
               +       0
        Ag(NH 3 ) 2   e → Ag   2 NH 3          7.2                   0.38
               3        0
        Ag(S 2 O 3 ) 2   e → Ag   2 S 2 O 3   13.4                   0.01
              2        0
        Ag(CN) 3   e → Ag   3 CN 3            22.2                   0.51
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