Page 146 - Corrosion Engineering Principles and Practice
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120   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    121


                          •  Linearity: A system is said to be linear if the response to a
                             sum of individual inputs is equal to the sum of the indi-
                             vidual responses. Practically, this implies that the imped-
                             ance of a system does not vary with the magnitude of the
                             probing signal.
                          •  Causality: The response of a system should be solely due to
                             the  probing  signal.  Physically,  this  means  that  the  system
                             being  tested  responds  fully  and  exclusively  to  the  applied
                             signal. This is an important consideration in electrochemical
                             systems, because charge transfer interfaces are often active
                             and do, in fact, generate noise in the absence of any external
                             stimulus [15].
                          •  Stability: A system is said to be stable if it comes back to its
                             original  state  after  a  perturbation  is  removed.  This
                             condition ensures that there is no negative resistance in the
                             system.  This  apparent  restriction  on  the  presence  of
                             negative  resistance  has  often  been  associated  with  the
                             presence  of  active-to-passive  transitions  in  the  system
                             being investigated [15].
                          •  Finite value: The real and imaginary components of a complex
                             impedance  must  be  finite  over  the  entire  frequency  range
                             sampled.
                         If  a  system  satisfies  the  conditions  of  linearity,  stability,  and
                      causality, it will a priori satisfy the KK transforms, provided that the
                      frequency range is sufficiently broad for the integrals to be evaluated.
                      However, a simple validity test is often sufficient to ascertain that the
                      EIS measurements are indeed meaningful. For measurements made
                      in real time, that is, by changing the frequency for each frequency
                      point, the validity of a forward frequency scan can be verified by
                      scanning in the opposite direction. Repeated measurements during
                      two successive scans in opposite direction should generally satisfy
                      KK  transforms  and  represent  the  actual  impedance  of  the  system
                      being tested.

                      5.6.2  Corrosion Monitoring
                      Electrochemical  monitoring  methods  involve  the  determination  of
                      specific interface properties divided into three broad categories:

                          •  Corrosion potential measurements: The potential at a corroding
                             surface arises from the mutual polarization of the anodic and
                             cathodic  half-reactions  resulting  in  the  overall  corrosion
                             reaction. Corrosion potential is intrinsically the most readily
                             observable parameter and understanding its behavior may
                             provide very useful information on the thermodynamic state
                             of a system.
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