Corrosion potential mixed electrodes

In general, according to Eq. (2-10), two electrochemical reactions take place in electrolytic corrosion. In the experimental arrangement in Fig. 2-3, it is therefore not the I(U) curve for one reaction that is being determined, but the total current-potential curve of the mixed electrode, E,. Thus, according to Eq. (2-10), the total potential curve involves the superposition of both partial current-potential curves ... 

Equation (2-38) is valid for every region of the surface. In this case only weight loss corrosion is possible and not localized corrosion. Figure 2-5 shows total and partial current densities of a mixed electrode. In free corrosion 7 = 0. The free corrosion potential lies between the equilibrium potentials of the partial reactions and U Q, and corresponds in this case to the rest potential. Deviations from the rest potential are called polarization voltage or polarization. At the rest potential = ly l, which is the corrosion rate in free corrosion. With anodic polarization resulting from positive total current densities, the potential becomes more positive and the corrosion rate greater. This effect is known as anodic enhancement of corrosion. For a quantitative view, it is unfortunately often overlooked that neither the corrosion rate nor its increase corresponds to anodic total current density unless the cathodic partial current is negligibly small. Quantitative forecasts are possible only if the Jq U) curve is known. 

The above considerations show that the rate of a corrosion reaction is dependent on both the thermodynamic parameter and the kinetic parameters rjj and rjj. It is also apparent that (q) the potential actually measured when corrosion reaction occurs on a metal surface is mixed, compromise or corrosion potential whose magnitude depends on E, and on the Ej, -I and Ej, -I relationships, and (b) direct measurement of 7 is not possible when the electrodes are inseparable. 

Equation 10.2, which involves consumption of the metal and release of electrons, is termed an anodic reaction. Equation 10.3, which represents consumption of electrons and dissolved species in the environment, is termed a cathodic reaction. Whenever spontaneous corrosion reactions occur, all the electrons released in the anodic reaction are consumed in the cathodic reaction no excess or deficiency is found. Moreover, the metal normally takes up a more or less uniform electrode potential, often called the corrosion or mixed potential (Ecotr)-... 

Corrosion is a mixed-electrode process in which parts of the surface act as cathodes, reducing oxygen to water, and other parts act as anodes, with metal dissolution the main reaction. As is well known, iron and ferrous alloys do not dissolve readily even though thermodynamically they would be expected to, The reason is that in the range of mixed potentials normally encountered, iron in neutral or slightly acidic or basic solutions passivates, that is it forms a layer of oxide or oxyhydroxide that inhibits further corrosion. 

Although the CMT method was originally developed to measure the corrosion rate at the corrosion potential, it has been demonstrated that it can also be used, with some restrictions, to measure the dissolution rate of a polarized electrode. The device for polarization can be a galvanostat or a potentiostat, the operation of which must not interfere with the pH measurements. Most important, the counter electrode must be in the same cell compartment as the experimental electrode and its content well mixed. 

The potential of a mixed electrode at which a coupled reaction of charge transfer proceeds is called the mixed electrode potential , this mixed electrode potential is obviously different from the single electrode potential at which a single reaction of charge transfer is at equilibrium. For corroding metal electrodes, as shown in Fig. 11—2, the mixed potential is often called the corrosion potential, E . At this corrosion potential Eemt the anodic transfer current of metallic ions i, which corresponds to the corrosion rate (the corrosion current ), is exactly balanced with the cathodic transfer current of electrons for reduction of oxidants (e.g. hydrogen ions) i as shown in Eqn. 11-4 ... 

Fig. 13. (a) Schematic representation of the formation of mixed potential, M, at an inert electrode with two simultaneous redox processes (I) and (II) with formal equilibrium potentials E j and E2. Observed current density—potential curve is shown by the broken line, (b) Representation of the formation of corrosion potential, Econ, by simultaneous occurrence of metal dissolution (I), hydrogen evolution, and oxygen reduction. Dissolution of metal M takes place at far too noble potentials and hence does not contribute to EC0Ir and the oxygen evolution reaction. The broken line shows the observed current density—potential curve for the system. 

The kinetic nature of mixed potentials is, in most cases, responsible for the lack of reproducibility. In a given solution under the same conditions, the same metal with different surface characteristics may adopt a different corrosion potential and, even at a given polycrystalline electrode, the corrosion potential is an average of different local regions of different properties crystal orientation, defects, and chemical heterogeneities. 

It follows that the corrosion potential on a heterogeneous metal corroding by local-cell action is virtually equal to the mixed potential at an electrode on which electronation and deelectronation reactions are occurring on spatially separated sinks and sources and is identical to a mixed potential when the metal is corroding homogeneously by a Wagner-Traud mechanism. The concept of the corrosion current /corr and the corrosion potential 40corr will now be treated quantitatively. 

An important measurement is the corrosion potential, Ecor. This is the open circuit potential, whose value can change with time. ECOT is a mixed potential, since the anodic and cathodic reactions are different. The partial anodic or cathodic current that flows at this potential is called the corrosion current, 7cor, and is directly related to the rate constant of the electrode reaction. 

Solid materials, in general, are more or less subject to corrosion in the environments where they stand, and materials corrosion is one of the most troublesome problems we have been frequently confronted with in the current industrialized world. In the past decades, corrosion science has steadily contributed to the understanding of materials corrosion and its prevention. Modem corrosion science of materials is rooted in the local cell model of metallic corrosion proposed by Evans [1] and in the mixed electrode potential concept of metallic corrosion proved by Wagner and Traud [2]. These two magnificent achievements have combined into what we call the electrochemical theory of metallic corrosion. It describes metallic corrosion as a coupled reaction of anodic metal dissolution and cathodic oxidant reduction. The electrochemical theory of corrosion can be applied not only to metals but also to other solid materials. 

If two or more electrochemical half-cell reactions can occur simultaneously at a metal surface, the metal acts as a mixed electrode and exhibits a potential relative to a reference electrode that is a function of the interaction of the several electrochemical reactions. If the metal can be considered inert, the interaction will be between species in the solution that can be oxidized by other species, which, in turn, will be reduced. For example, ferrous ions can be oxidized to ferric ions by dissolved oxygen and the oxygen reduced to water, the two processes occurring at different positions on the inert metal surface with electron transfer through the metal. If the metal is reactive, oxidation (corrosion) to convert metal to ions or reduction of ions in solution to the neutral metal introduces additional electrochemical reactions that contribute to the mixed electrode. 

A reference electrode scanned along the metal surface will measure the series of (E"x)n and (E"M)n interface potentials. From these values, solution potentials (t))s) at the metal/solution interface may be calculated (< )s = -E") and presented as in Fig. 4.6. When the anodic and cathodic sites are microscopic relative to the size and position of the reference electrode, identity of the anodic and cathodic sites on a macroscale is lost, and a single mixed or corrosion potential, Ecorr, is measured as discussed previously. There is essentially a uniform flux of metal ions from the surface, and cathodic reactants to the surface, which constitute anodic and cathodic currents. Since the relative areas to which these currents apply usually are not known, the total area is taken as the effective area for each reaction. It is these currents, however, that mutually polarize the anodic reaction potential from E M up to Ecorr and the cathodic reaction potential from E x down to Ecorr. 

The cathode-to-anode area ratio is frequently a critical factor in corrosion. (This is true when well-defined cathodes and anodes exist. With mixed electrode behavior, where cathodic and anodic reactions occur simultaneously, separate areas are not readily distinguishable, and Aa is assumed equal to Ac.) Discussion of the influence of this ratio will be restricted to the case of a small total-corrosion-circuit resistance leading to the anodic and cathodic reactions occurring at essentially the same potential, Ecorr, as described previously. In Fig. 4.12, three different values of corrosion current, Icorr, and corrosion potential, Ecorr, are shown for three cathode areas relative to a fixed anode area of 1 cm2. For these cases, a reference electrode placed anywhere in the solution... 

The earlier sections of this chapter discuss the mixed electrode as the interaction of anodic and cathodic reactions at respective anodic and cathodic sites on a metal surface. The mixed electrode is described in terms of the effects of the sizes and distributions of the anodic and cathodic sites on the potential measured as a function of the position of a reference electrode in the adjacent electrolyte and on the distribution of corrosion rates over the surface. For a metal with fine dispersions of anodic and cathodic reactions occurring under Tafel polarization behavior, it is shown (Fig. 4.8) that a single mixed electrode potential, Ecorr, would be measured by a reference electrode at any position in the electrolyte. The counterpart of this mixed electrode potential is the equilibrium potential, E M (or E x), associated with a single half-cell reaction such as Cu in contact with Cu2+ ions under deaerated conditions. The forms of the anodic and cathodic branches of the experimental polarization curves for a single half-cell reaction under charge-transfer control are shown in Fig. 3.11. It is emphasized that the observed experimental curves are curved near i0 and become asymptotic to E M at very low values of the external current. In this section, the experimental polarization of mixed electrodes is interpreted in terms of the polarization parameters of the individual anodic and cathodic reactions establishing the mixed electrode. The interpretation then leads to determination of the corrosion potential, Ecorr, and to determination of the corrosion current density, icorr, from which the corrosion rate can be calculated. 

The above analysis of a mixed electrode in terms of the current components is usually simplified under several common, and often very accurate, assumptions. With reference to Fig. 4.13, if the intersection of the I0X and the Ired lines occurs at a potential, Ecorr, that deviates by more than approximately 50 mV from both equilibrium potentials, E x and E m, the contributions of I0 x and Ired M become insignificant, and the analysis of the corrosion is based on the intersection of the Ired x and Iox M lines. These individual Tafel lines are plotted (dashed lines) in Fig. 4.15. Ecorr and Icorr are identified, again assuming that Rtotai is very small. 

The concepts in Chapters 2 and 3 are used in Chapter 4 to discuss the corrosion of so-called active metals. Chapter 5 continues with application to active/passive type alloys. Initial emphasis in Chapter 4 is placed on how the coupling of cathodic and anodic reactions establishes a mixed electrode or surface of corrosion cells. Emphasis is placed on how the corrosion rate is established by the kinetic parameters associated with both the anodic and cathodic reactions and by the physical variables such as anode/cathode area ratios, surface films, and fluid velocity. Polarization curves are used extensively to show how these variables determine the corrosion current density and corrosion potential and, conversely, to show how electrochemical measurements can provide information on the nature of a given corroding system. Polarization curves are also used to illustrate how corrosion rates are influenced by inhibitors, galvanic coupling, and external currents. 

This system permits brief descriptions of some key concepts encountered in corrosion phenomena electrode potentials, exchange currents, mixed potentials, corrosion potentials, passive films, as well as leading to thermodynamic descriptions of systems.- ... 

If the two electrodes are short-circuited together, the cathodic process of the positive combines with the anodic process of the negative as shown in Figure 11. The battery now has a singular potential - the short circuited potential. This clearly is a mixed potential or could be viewed as a corrosion potential of the system. 

When there are two partial process in a mixed potential system and both are under activation control, the most probable forms of the current densities of the anodic and cathodic partial processes are Equations 33 and 35, respectively. For an isolated metal, the overpotential (since the corrosion potential represents the perturbed electrode potential in this case) is... 

Under conditions of oxygen or electrolyte concentration gradients, or due to heterogeneities of the metallic substrate, the cathodic and anodic sites may be separated. For each of the two electrodes, the equilibrium potential for their actual conditions can be determined by the Nemst equation. The electromotive force (EMF) for the corrosion process to occur is the difference between the two equilibrium potentials. When the cathode and the anode are short-circuited, a mixed potential results, known as corrosion potential, f corr- The value of corr lies between the two separate electrode potentials, although shifted towards the equilibrium potential of the faster reaction. This situation can be easily visualized with the help of the... 

Upon polarization of either electrode, the cell potential moves along the oxidation and reduction curves as shown in Fig. 1.1. When the current through the cell is f, the potential of the copper and zinc electrodes is Cj cu and e zn > and each of the electrodes have been polarized by (Ceq.cu i.Cu) and (Ceq.zn i,z )- Upon further polarization, the anodic and cathodic curves intersect at a point where the external current is maximized. The measured output potential in a corroding system, often termed the mixed potential or the corrosion potential (Tcorr)> h the potential at the intersection of the anodic and the cathodic polarization curves. The value of the current at the corrosion potential is termed the corrosion current (Icon) and can be used to calculate corrosion rate. The corrosion current and the corrosion potential can be estimated from the kinetics of the individual redox reactions such as standard electrode potentials and exchange current densities for a specific system. Electrochemical kinetics of corrosion and solved case studies are discussed in Chapter 3. 

This chapter outlines the basic aspects of interfacial electrochemical polarization and their relevance to corrosion. A discussion of the theoretical aspects of electrode kinetics lays a foundation for the understanding of the electrochemical nature of corrosion. Topics include mixed potential theory, reversible electrode potential, exchange current density, corrosion potential, corrosion current, and Tafel slopes. The theoretical treatment of electrochemistry in this chapter is focused on electrode kinetics, polarization behavior, mass transfer effects, and their relevance to corrosion. Analysis and solved corrosion problems are designed to understand the mechanisms of corrosion processes, learn how to control corrosion rates, and evaluate the protection strategies at the metal-solution interface [1-7]. 

As an alternative to generating an entire polarization diagram, we can use the exchange current densities and the equilibrium potentials of the anodic and cathodic reactions to estimate the corrosion potential and corrosion current by extrapolating the cathodic and anodic polarization lines of the corroding system. At the corrosion potential, the anodic and cathodic currents are equal. The schematic shown in Fig. 3.6 represents a case for which the anode and the cathode area are the same once the corrosion current is known, the rate of deterioration of the electrode can be estimated. The accurate prediction of the corrosion (mixed) potential depends on the polarization behavior of the specific electrode. 

The mixed potential depends on the polarization behavior of the anodic and cathodic reactions. More precisely, specific parameters determine whether the mixed potential is close to the equhibrium value of the anode reaction or the cathode reaction. These parameters include the exchange current density and anodic and cathodic reaction transfer coefficients, which determine the Tafel slope. Based on these criteria, when the cathode is a highly polarizable electrode in comparison to the anode or when the Tafel slope for the cathodic reaction is much larger than the anodic reaction, the system is said to be cathodicaUy controlled. In such a case, the corrosion potential of the system is very close to the anode equilibrium potential and is represented in Fig. 3.11a. 

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