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Potential-pH Diagrams
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TUTORIAL ON THERMEXPERTTM Potential-pH (Pourbaix or EMF-pH) Diagram Generator
David C. Silverman
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Table of Contents
Generation of a diagram - Iron in water
An internally consistent thermodynamic data base has to be available before the
potential-pH diagram can be calculated and applied to practical corrosion prediction.
One possible procedure for ensuring consistency might be summarized in this figure
.
This approach was applied to calculation of the potential-pH diagram for iron at 25C.
The details for the approach are presented in D. C. Silverman, "Presence of Solid
Fe(OH)2 in EMF-pH Diagram for Iron", Corrosion, Vol. 38, p. 453 (1982)
1 (172k).
In that paper Fe+2 and Fe+3 were used directly from published thermodynamic data
for those ions. Required thermodynamic values for other ions were estimated by
combining the tabulated value for the non-hydrolyzed iron species and the equilibrium
constant between it and the next hydrolyzed species in the sequence (e.g. between Fe+2
and FeOH+). Thermodynamic properties of each
of the subsequent hydrolyzed species of the same valence were calculated using the next
higher hydrolysis reaction. Hydrolysis constants are available in the literature.
Solids and oxides were used as tabulated in the literature. The following table
reproduces the free energy data as presented in the above publication.
| Compound |
Free Energy @298K joule/mole |
| Fe |
0 |
| Fe3O4 |
-1.02x106 |
| Fe2O3 |
-7.42x105 |
| FeOOH |
-4.90x105 |
| Fe(OH)2-solid |
-4.93x105 |
| Fe(OH)3-solid |
-7.14x105 |
| Fe+2 |
-9.22x104 |
| FeOH+ |
-2.75x105 |
| Fe(OH)2-aqueous |
-4.49x105 |
| Fe(OH)3- |
-6.21x105 |
| Fe+3 |
-1.78x104 |
| FeOH+2 |
-2.42x105 |
| Fe(OH)2+ |
-4.59x105 |
| Fe(OH)3-aqueous |
-6.61x105 |
| Fe(OH)4- |
-8.43x105 |
| Fe2(OH)2+4 |
-4.94x105 |
| Fe3(OH)4+5 |
-9.69x105 |
FeO4-2?? (may not exist) |
-4.67x105 |
Data such as those shown in the above table were run through THERMEXPERT to create
the "Metal State Diagram"
and "Solution State Diagram"
for iron. The temperature was 25oC and the activities of
the ions were 10-6. As discussed in the section entitled
Background on the Potential/pH (Pourbaix) Diagram.
the "Metal State Diagram" shows the expected
lowest free energy state of the solid metal, in this case iron. It can be as metal
(e.g. Fe), oxidized metal (e.g. Fe2O3), or dissolved ion
(e.g. Fe+2). The "Solution State Diagram" shows the expected lowest
free energy state for the dissolved species associated with the compound in the
"Metal State Diagram". If at a certain pH and potential the lowest free energy
state in the "Metal State Diagram" is an ion, that same ion would appear at that
same pH and potential in the "Solution State Diagram".
In addition, these diagrams
have been generated after removing from consideration related species that are not at
lowest free energy but which might appear on an initially calculated diagram because
their formation from each other does not involve hydrogen ion or valence change.
Such species are related only
by addition or removal of water. The pH and potential are not
variables in these reactions. In this case, examples are reactions among Fe2O3, FeOOH, Fe(OH)
3, and the dissolved Fe(OH)3(aq). These four compounds are related
only through a reaction with water. All might initially appear on the same calculated diagram
in some pH and potential region since they are related only through reaction with water and neither
hydrogen ion or electron transfer (change in valence state) are not involved.
In this case, the compound Fe2O3 was chosen over FeOOH even though
the latter might have a slightly lower free energy of formation
among reactions that include water and those other compounds.
One might substitute one of the other compounds for consideration if the system being modeled
requires it. These points are also discussed in the section
Using THERMEXPERT - a step-by-step procedure.
The potential-pH diagram which is most familiar to people is the overlay of these
two diagrams. Such an overlay is shown in this figure
.
The darker borders and print signify the lowest free energy state of the solid iron,
the "Metal State Diagram". The lighter borders and print signify the lowest
free energy state of the dissolved species that would be associated with the
species in the
"Metal State Diagram". These ions arise from the "Solution State Diagram".
The diagrams predict the same state where the only species is the same dissolved species on
both diagrams at the same position. For example,
Fe+2 and Fe+3 in both diagrams where they are the most thermodynamically stable species
at the same potential and pH
in both diagrams. The two diagrams are not in equilibrium
with each other so the overlays are not in equilibrium with each other. Also,
note that both FeOOH and Fe2O3 have been included.
As discussed in the publication D. C. Silverman, "Presence of Solid
Fe(OH)2 in EMF-pH Diagram for Iron", Corrosion, Vol. 38, p. 453 (1982)
1 (172k),
this combined diagram
differs from that originally published in (M. Pourbaix, Atlas of Electrochemical Equilibria in Aqueous Solutions, NACE International,
Houston, TX, 1974). The most important differences
are a region of stability of solid Fe(OH)2 that lies between the iron and magnetite
regions of stability and a region of stability for Fe(OH)4- at high pH and somewhat
elevated potentials. Solid Fe(OH)2 would be expected to impart only imperfect
corrosion resistance. Indeed, as shown in that older reference, corrosion
of iron has been observed in this pH and potential region. Dissolved Fe(OH)4-
is a corrosion product suggesting that dissolved metal is the most stable state in
this high pH region. Corrosion in this pH region and somewhat elevated potential region has been
observed in strongly caustic processes. The diagram also shows the complete spectrum
of hydrolysis products.
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Previous Page: Background on the Potential/pH (Pourbaix) Diagram
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1 © NACE International publication and year shown in citation above. All rights reserved. Displayed with permission from NACE International, Houston, TX (http://www.nace.org). Published in Corrosion, in the month and year shown in the citation above.
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David C. Silverman, Ph.D. - Primary Consultant
E-Mail: dcsilverman@argentumsolutions.com
Phone: 314-576-3586
Fax: 314-754-9825
Address: The Argentum House
14314 Strawbridge Ct.
Chesterfield, MO 63017
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