Page 113 - Corrosion Engineering Principles and Practice
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88     C h a p t e r   5                                                                    C o r r o s i o n   K i n e t i c s   a n d   A p p l i c a t i o n s   o f   E l e c t r o c h e m i s t r y    89










                                                         –638 mV Potential  Scan Rate
                                                          30 mA Current
                                                                         Pstat
                                                          W   Ref  Aux   Off
                                                                         Gstat






















                      FIGURE 5.1  Electrochemical instrumentation to carry out potentiodynamic
                      measurements in which a potenstiostat/galvanostat power controller is used
                      to pass current through the sample or working electrode (W) and an auxiliary
                      electrode (AUX), while monitoring the potential of the working electrode with
                      a reference electrode.


                         The following theory explains the basic mathematics that may be
                      used to extract the exchange current density from the results obtained.
                      A general representation of the polarization of an electrode supporting
                      one specific reaction is given in the Butler-Volmer equation (5.4):
                                        nF                nF       
                          i reaction  =  i exp −b  h reaction  −  exp (1− b )  h reaction    (5.4)
                                                         1
                                 0 
                                      
                                                        
                                        RT                RT        
                      where i reaction  is the anodic or cathodic current
                            b   is the charge transfer barrier (symmetry coefficient) for the
                             anodic or cathodic reaction, usually close to 0.5
                            n is the number of participating electrons
                                                             −1
                            R is the gas constant, that is, 8.314 J mol  K −1
                            T is absolute temperature (K)
                            F is 96,485 C/(mol of electrons)
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