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TUTORIAL ON POLEXPERTTM AND THE CYCLIC POTENTIODYNAMIC POLARIZATION TECHNIQUE
David C. Silverman
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Table of Contents
Applying Tutorial Principles - Critique of ASTM F2129
The discussions of effects of
experimental and environmental variables and
features useful
for interpreting polarization scans provide the background needed
by the corrosion practitioner both to develop appropriate procedures and to
critically examine procedures that have already been developed. The purpose
of this portion of the tutorial is to show how the information in this tutorial
might be applied to examining a procedure for generating a polarization scan to
help to improve it. The example used is
ASTM F2129-06 - "Standard Test Method for Conducting Cyclic Potentiodynamic Polarization Measurements
to Determine the Corrosion Susceptibility of Small Implant Devices". The
discussion implicitly assumes that the test environment provides a
reasonable model of the actual working environment. Focus is on the following
experimental variables and scan characteristics:
1. Corrosion potential
ASTM F2129 requires that the rest or open circuit potential (referred to as the
corrosion potential) be recorded for 1 hour or until it stabilizes to a rate of
change of 3 mV/min. Choice of the
appropriate open circuit value to be used as the
corrosion potential
affects both the reproducibility and predictive capability of the polarization
scan. The issue is the possibility that what is considered to be the proper value
of voltage from which to generate the scan may not be.
The corrosion potential is created by the potentials of all of the electrochemical
processes occurring on the alloy surface. Use of the cyclic potentiodynamic
polarization scan for corrosion prediction is built on the concept that predictions
of behavior of a material in an environment can be made by forcing the material from
its steady state interaction with the environment at a constant rate and observing
how that material responds as the force is removed at the same constant rate and the material
"relaxes" back to its steady state condition. The force in this case is the
applied voltage. Features that emerge during this process are used
for the prediction. In principle, for the cyclic potentiodynamic polarization
scan to predict field performance (e.g. propensity for localized corrosion
in the field) the scan should reflect one that would be
generated on an electrode made of the same alloy after extended exposure to
the field environment. The goal of the laboratory simulation is to get as
close as possible.
Potentials such as the
pitting potential and
repassivation potential or protection potential have little meaning in and of
themselves. Only their values relative to the corrosion potential and to each other
have meaning for prediction. Such predictive capability is demonstrated in the
artificial neural network/expert system
POLEXPERT.
If the open circuit potential is not initially at steady state, its value does
not reflect the processes governing the actual corrosion reactions but reactions
occurring as the steady state corrosion process is approached. Under these
conditions, the difference
between the pitting potential or repassivation potential and what is thought to be
the corrosion potential can be misleading. Two seemingly identical alloys
subjected to what is thought to be the same surface treatment can approach steady
state along different potential-time trajectories in the same environment.
Reproducibility is affected because there is no guarantee that two seemingly
identical alloys (especially alloys exhibiting strongly passive characteristics)
would be in identical states after relatively short exposures to
the same environment.
With respect to the one hour immersion criterion, alloys of interest for medical
devices tend to suffer very low general corrosion rates. These more passive type
of alloys can require much more than 1 hour to reach a steady state corrosion potential.
For example, the open circuit potential of 316ss immersed in salt water under aerated
conditions has been shown to change for periods greater than 72 hours. The open
circuit potential measured after one hour may not be the corrosion potential needed
as a starting point for the polarization scan. If it is not, the calculation
and interpretation of differences between the pitting or repassivation potential
and what is thought to be the corrosion potential would be suspect. Some
compromise may be required because reaching true steady state may not be consistent
with completing experimental work in a reasonable amount of time.
Reproducible results enabling training of the artificial neural network in
POLEXPERT
required between 12 and 24 hours to elapse between initial immersion and the
start of the polarization scan for more passive systems.
Using the difference between the repassivation potential and the initial corrosion potential
or between the pitting potential and the initial corrosion potential for prediction implicitly
assumes that if the open circuit potential could be measured while generating the scan:
- the open circuit potential would be the same when the pitting potential
is measured
- the open circuit potential would be the same when the repassivation potential
is measured
- the open circuit potential would be the same when hysteresis is observed
Otherwise, the calculated differences would have little
physical meaning and little predictive value for long term behavior. The above
statements imply that a change in open circuit potential of 3 mV/min could be a
poor substitute for steady state behavior. The scan rates 0.167 mV/s and 1 mV/s
proposed in the standard provide a way to analyze this criterion. If the total scan
covers, for example, 1600 mV (800 mV in each direction), the slower scan rate would
require about 160 minutes and the faster scan rate would require about 25 minutes.
The open circuit potential in theory could change 500 mV during the former scan and
75 mV during the latter if the 3 mV/min remains constant. Both changes can
significantly impact interpretation because the calculated difference between, for
example, the pitting potential and initial open circuit may not reflect the true
state of the alloy either when the pitting potential is measured or after long term
exposure.
Back to Top
2. Scan Rate
ASTM F2129 provides two criteria for scan rate, 0.167 mV/s or 1 mV/s. If
the scan rate is not chosen properly it can skew the polarization scan,
detrimentally affecting its appearance and the usefulness its characteristics.
The polarization scan should record an applied current that reflects the
polarization resistance at each voltage. If the scan rate is too high, surface
capacitance (e.g. double layer, oxide, etc.) can interfere resulting in a lower
effective polarization resistance, a higher applied current. That increased
current can affect the
pitting potential and
repassivation potential. The result can
be a polarization scan that does not reflect the corrosion process. Inappropriate
predictions and poor reproducibility can be the result. The reasons are outlined on
page 4 of this tutorial
that discusses experimental variables in more detail. That information, summarized
below, provides the background for assessing scan rate choice.
Electrochemical impedance spectra offer a framework for providing
a gross estimate the appropriate scan rate. The assumption here is that such
spectra can be modeled as containing one or two
constant phase elements.
If the exponent on the constant phase element is close to 1, the constant phase
element can be treated as a capacitance. For simplicity the assumption is made here
that the alloy-environment interaction can be modeled by a parallel resistor-capacitor
combination in series with a resistor. The model is shown in this figure
along with the governing equations. In this figure, Rp is the polarization
resistance (inversely proportional to the corrosion rate), Rs is the uncompensated
solution resistance, and C is the capacitance at the interface. Such a simple model is often
applicable to very passive alloys as demonstrated in this figure
for titanium in a dilute acidic salt solution.
The pertinent information needed to estimate the appropriate scan rate can be found
by focusing on the impedance magnitude versus frequency as shown in this figure
.
The premise is that the scan rate (rate of change of voltage) can be related to a
frequency at every applied potential by assuming that the scan is itself one-fourth
of a sine wave at each increment of potential. That frequency must be low enough so that the impedance magnitude
becomes independent of frequency. Then the polarization or charge transfer
resistance is being measured with no interference from surface capacitance.
As mentioned in the section on
scan rates
this frequency is assumed to be about an order of magnitude lower than the breakpoint
frequency which can be estimated
(F. Mansfeld, Corrosion, 37, 6(1981): p. 301). That frequency
is about at the position of middle arrowhead in the figure
.
One might assume that the polarization resistance for alloys with medical applications
lies above at least105 ohm-cm2, most likely much higher.
Otherwise, general corrosion might be an issue. The uncompensated solution resistance
probably lies between about 10 and 100 ohm-cm2. Capacitances might
be assumed to be in the range of 100 µ farad/cm2. Using the table
in the section on scan rates
as a guide capacitive interferences to the polarization resistance are negligible
for scan rates in the range of 0.005 to 0.05 mV/s. The strong possibility exists that
at 1 mV/s, the polarization scan could be reflecting effects of capacitance, not corrosion.
If so, this scan rate would be inappropriately high.
Such low scan rates as estimated above could be impractical because not only would
the experimental
duration be inordinately large but these low scan rates often cannot be achieved with
commercial equipment. The scan rate of 0.167 mV/s would be, for the most part,
reasonable from this analysis. Note that scan rates between 0.25 mV/s
and 0.5 mV/s were used to generate the data trained in the artificial neural network
used in POLEXPERT
which included passivating iron, nickel, and titanium alloys. Such training suggests
these slightly higher scan rates might be adequate as well enabling a shortening of the
time to generate the polarization scan.
Back to Top
3. Point of Scan Reversal
The current density or potential at which the polarization scan is reversed can
play a significant role in the appearance of the polarization scan and the value
of the repassivation potential
or protection potential. The reason is that the value of the repassivation
potential is dictated by the damage to the surface created as
the potential is scanned in the anodic direction from the
corrosion potential.
The standard provides three criteria for the point the scan is reversed (1)
a current density two decades greater than the current at breakdown (which is
not synonymous with though might include the pitting potential), (2) a potential
that is 800 mV relative to a saturated calomel electrode
or (3) a potential defined by certain attributes of the polarization scan.
As shown by the example in the section on
point of scan reversal,
choosing the wrong point for reversing the voltage sweep can lead to an erroneous polarization
scan and a poor prediction of long term behavior. This example is one of many
that show that pushing electrodes into current and voltage regions in which the alloy
surface is so changed that it no longer has any relevance to the expected corroding
surface (e.g. forcing significant dissolution of chromium or extensive pits) can
force interpretations that lead to errors in judgment. The reason is that how the
alloy repassivates after being forced to corrode to such extremes may force the
reverse scan to reflect phenomena that have no relevance to
the application. No standard point of scan reversal can be proposed with
complete confidence. Several points can aid in the choice.
- The point of reversal is that voltage or current level that forces the surface
to form the structure that is of interest so that its ability to repassivate can be
judged appropriately. This concept is meant to emphasize the fact that the
polarization scan parameters must be selected to demonstrate alloy stability with
respect to the corrosion phenomenon of interest (general corrosion, localized corrosion,
etc.). Since corrosion is a process and not a property, the point of scan reversal
depends to some extent on the choice of alloy and environment.
- Experience in the training of
POLEXPERT
suggests that in the absence of more detailed characterization, alloy-environment
combinations that demonstrate low corrosion rates (e.g. corrosion currents less
than 0.1 µamp/cm2) might be reversed at an anodic current density
of about 100 µamp/cm2. Some scans with current reversal at
1000 µamp/cm2 were used in the training of POLEXPERT though care
had to be exercised. Experience has suggested that the value
chosen for one scan be used for all similar alloys examined in a given screening regardless
of scan structure. This concept has been used for polarization scans showing
negative and positive
hysteresis
as well as no hysteresis.
- If potential is used as the point of scan reversal, the value is best chosen
within the context of what surface species might be formed at the potential and pH of the
system. For example, if the surface is expected to be rich in chromium, the potential
should not be high enough that chromium can form chromium(VI) and dissolve, for example.
The potential-pH diagram generator
THERMEXPERT
can be used to provide guidance. The 800 mV guidance might or might not be
appropriate.
Back to Top
4. Scan Features and Methodology
Several additional criteria in the standard can be discussed using the principles outlined in this tutorial:
- Not completing the reverse scan through the
anodic-to-cathodic transition for all cases
- Locating the demarcation point called the "protection potential"
- Labeling the point of rapid rise as "breakdown
potential" regardless of whether the region above it designates pitting or
the transpassive region
Non-completion of reverse scan
The recommendation is made that if the polarization scan shows either a positive
hysteresis
or no hysteresis, the polarization scan can be stopped anodic to the corrosion
potential at elevated potential or current. As shown by the training required for
POLEXPERT,
the position of the reverse scan, anodic-to-cathodic transition relative to the corrosion potential
is a variable that was found to aid in the accuracy of the artificial neural network.
In theory, that transition would be expected at the corrosion potential. But,
in reality, changes in the surface structure during polarization and even the fact
that the scan rate is not zero can cause that potential to be above or below
(anodic or cathodic with respect to) the corrosion potential. The difference
between this potential and the corrosion potential may provide an additional
indication of persistence of passivity.
If the polarization scan appears as in the figures
"Polarization Scan for Passive Behavior",
"Polarization Scan for Localized Corrosion",
or "Polarization Scan for Oxidizable/Reducible Surface"
the position of the anodic-to-cathodic transition relative to the corrosion potential
provides information about the possibility of a passive film at the corrosion potential.
The repassivation potential and the anodic-to-cathodic transition potential
may be the same if the repassivation potential is considered the voltage at the point that
the alloy surface no longer provides electrons.
For alloys that can passivate either by a change in oxidation state (ferrous to ferric),
a change in the passive layer (greater enrichment of chromium oxide, for example),
or rely on alloy content and not necessarily a strong oxide layer for passivation (some
higher nickel-based alloys),
polarization to more noble potentials relative to the corrosion potential might place
the surface in a more passive state than at the corrosion potential at least until
the transpassive region is reached. The position of the corrosion potential
relative to this anodic-to-cathodic transition provides information on the
persistence of this passivity at the corrosion potential. The interpretation
depends on where the anodic-to-cathodic voltage is read on the polarization plot.
In POLEXPERT,
it was read where the cathodic leg re-emerged at 0.1 µamp/cm2.
The implication is that continuing the reverse scan
until at least the anodic-to-cathodic transition is reached or to where its value
can be read can provide additional insight for prediction.
Location of "protection potential"
An alternative (some consider more modern) descriptor for "protection potential"
is "repassivation potential". This potential was originally meant to signify
the point below which localized corrosion especially crevice corrosion would not occur.
Pitting was assumed not to occur below the pitting potential. Experience has revealed
that since this potential is dictated by a combination of the alloy-environment
interaction and experimental variables (scan rate, current at scan reversal, etc.),
some distance (e.g. 200 mV) should exist between the repassivation and corrosion
potentials. That is, if the repassivation potential lies more than that distance
(e.g. 200 mV) anodic or noble with respect to the corrosion potential, crevice
corrosion is not suggested at the corrosion potential. Verification is always
required by alternative experiments. The repassivation potential can lie
cathodic to the corrosion potential when hysteresis is negative. Suggesting that the
repassivation potential not be determined in this case can be misleading.
One question is the point that should be called the repassivation potential.
The standard uses the point at which the reverse scan crosses the anodic scan.
This choice would be appropriate if crevice corrosion only occurred in the
presence of negative hysteresis and the corrosion potential lied cathodic (active)
relative to the repassivation potential. But, both the blue and red scans in the figure
"Polarization Scan for Oxidizable/Reducible Surface"
have been found with alloys suffering crevice corrosion when exposed
using coupons with crevice forming washers. The main dictating factor seemed to be
that the repassivation potential as defined in this picture was close to the corrosion
potential and the anodic to cathodic transition as defined in this picture was anodic
or noble with respect to the corrosion potential even though the hysteresis was positive. In this case, defining the repassivation potential or protection potential as the point at which the two curves crossed would have made interpretation and subsequent prediction difficult.
Breakdown Potential
Use of the term "breakdown potential" to signify the more rapid rise in current at
elevated potentials is ambiguous. The phenomenon to which this potential refers in this
standard has a number of causes. As shown in this figure for
"Polarization Scan for Localized Corrosion",
the potential is actually the pitting potential. As shown in this figure for a
"Polarization Scan for Passive Behavior"
or this figure for a "Polarization Scan for Oxidizable/Reducible Surface"
the term would refer to the broad potential range over which the scan enters the
transpassive region anodic with respect to the corrosion potential.
If the potential is high enough as in the example on
page 4 this region
does signify destruction of the passive film but not a pitting potential. In
many instances, no destruction occurs when this region is entered. Oxygen evolution
cannot be assumed. Only when pitting occurs is the boundary sharp enough for a
unique potential to be defined as the "pitting potential". Otherwise, modern usage
tends to leave the point unnamed. The implication is that the term "breakdown
potential" would be better replaced by more appropriate terminology.
Previous Page: POLEXPERT (the intelligent prediction tool)
Table of Contents
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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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