coating s
DESCRIPTION
coatingTRANSCRIPT
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Corrosion Protection Methods
Coatings
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Corrosion Protection by Coatings
Metallic Coatings
Other Inorganic Coatings
Paint Coatings
Other Forms of Organic Coatings
Pre-treatment Before Coating
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Metallic Coatings
Methods of application Dipping
Electroplating
Spraying
Cementation
Diffusion
Method selection considerations Corrosion resistance that is required, expected
lifetime of component, # of parts being produced, environmental considerations
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Hot Dipping
Immerse metal (usu. Steel) in molten metal bath (Zn/Al/Al-Zn)
Continuous process: eg galvanizing sheet
Batch process: galvanising fabricated parts, nuts, bolts, fastners
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Electroplating
Substrate is made cathode Aqueous electrolyte of depositing metal 4-30 m thick Zn, Cd, Cr, Cu, Au, Ni, Sn, Ag and alloys Sn-Zn, Zn-Ni,
brass, bronze, gold alloys, nickel alloys Electroplated Zn more uniform thickness and other
surface characteristics vs. hot dipped- automobile body sheets
Electroless plating: chemical reduction of metal-salt solutions, precipitated metal forms a adherent layer eg. Electroless Ni
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Cementation
Tumbling the work in a mix (metal powder+flux) at high T
Powder metal diffuses into base metal
Eg. Al, Zn
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Thermal Spraying
A gun simultaneously melts and propels small droplets Feedstock: powder, rod, wire, liquid
Flame-powder spraying
Flame-wire spraying
Plasma spraying- 12,000C, powder feedstock
Coating characteristics: Porosity (can be filled with thermoplastic resins for
Corr Resist.) , any thickness, adherent, can be applied on fabricated structures
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Classification of coatings
All coatings provide barrier protection Barrier between corrosive environ & metal Coatings can get damaged during shipment/use Galvanic action at the base of the scratch-
performance
Noble coatings Only barrier protection Ni, Ag, Cu, Pb, Cr
Sacrificial coatings Barrier protection Cathodic protection
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Current flow at defects in noble/sacrificial coatings
Cr/Ni on steel -coating is undermined -coating should have minimum pores -thick
Zn/Cd on steel -base metal is cathodically protected -degree of porosity inconsequential -thick- longer protection
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Area over which sacrificial protection extends
f( solution conductivity)
Cathodic current densities fall off with distance from anode
Fall off rate is high in distilled/soft water
It is low in seawater
eg. 3mm wide Zn coating defect on steel begins to show rust in the center in soft water
Several feet wide defect in seawater no rusting!
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Zn coatings Barrier and Galvanic protection Corrosion products- Zn compounds (carbonate/hydroxides)
White, colorless
Rusting appears sooner with severity of atmosphere Rural (0.2-3 m/yr) < marine (0.5-8) < industrial atmosphere (2-
16)
Hot dip galvanizing Metallurgical bonding (diffusion) to steel => Zn-Fe alloys
very adherent
Continuous process thinner coatings Batch process- thick 0.1-0.2 % Al addition suppresses Fe transport into coating USE: atmospheric corrosion protection of steel- roofing,
automotive- truck and bus parts, fencing, A/C, farm implements
Electrogalvanized- electrodeposited Zn alloy coatings too- Zn-Fe, Zn-Co, Zn-Ni
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Galvanizing provides good surface for organic coatings Extend life of Zn coating
Aqueous envorn at RT Corro rate is lowest in pH 7-12 Seawater: 0.13 mm thick no rust for ~ 5 yr Aerated hot water >60C
Reversal of polarity- Zn develops noble characteristics pitting is possible Waters high in carbonates & nitrates favor the reversal Waters high in chlorides & sulphates decrease reversal
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Normally
porous Zn(OH)2 product
insulating
Zn is anodic
Reversal
ZnO
electrically semi-conducting
in aerated waters, works as oxygen electrode with noble potential
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Ni Coatings
Usually electroplated Cu underlayer
To reduce required thickness of (expensive) nickel layer To facilitate buffing operation, Cu is soft Ni underlayer is used in automotive industry for microcracked Cr
deposition
Minimum prescribed thickness For indoor exposures: 0.008-0.013 mm Outdoor: 0.02-0.04 mm Thicker coatings for use near sea coast/ industrial environments Thinner for dry, unpolluted environs. Chemical industry : 0.025 to 0.25 mm
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Fogging: In industrial atmospeheres, reflectivity from Ni sulphate film formation Coat with very thin 0.0003 mm Cr overlayer
Electroless nickel For chemical industry Ni is reduced by hypophosphite at boiling point Typical solution NiCl2.6H2O 30g/l; Sodium hypophosphite 10g/l; sodium
hydroxyacetate 50 g/l, pH: 4-6 Deposit is a Ni-(7-9 %) P alloy Corrosion resistance is comparable to electrolytic Ni Adv: Uniform coating even on intricate parts
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Cadmium coatings By electrodeposition Cathodic protection to steel Lower p.d. between steel/Cd as compared to steel/Zn
it maintains potential of steel below the critical pot for SCC, and Above the pot for H cracking More reliable protection than Zn in moist environ
expensive than Zn Brighter metallic appearance Better electrical contact Better solderability, used in electronic equipment More resistant to attack by aqueous condensate/salt spray Coeff. Of friction () is lower than Zn, low torque resistance; use:
fastening hardware & connectors (where frequent dismantling is required)
Extensively used in aerospace applications
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Cd coatings Resists attack (unlike Zn) by alkalies in aqueous
media Like Zn it is corroded by dilute acids and aqueous
ammonia Cd salts (corrosion products) are toxic than Zn
salts
No contact with food products Galvanised coatings are OK for drinking water only not for
food
Cd plating solutions toxic, waste disposal problem Cd replacements are being sought
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Tin Coatings
Tin is active to steel in most food products
Galvanic + barrier protection
On the outside of a can, Sn is cathodic to Fe barrier protection
On the inside, Sn is always anodic cathodic protection
Potential reversal occurs from complexing of stannous ions, Sn2+ by food products => aSn2+
potential of Sn becomes more active
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Tin salts are non-toxic, tasteless, colorless
Tinplate (low C-steel strip coated with tin) food/beverages containers- millions of tons of tinplate
Electrodeposited more uniform and thin than hot-dipped tinplate is heated Sn melts=> FeSn2 form, then passivated
in chromic acid/sodium dichromate Can-makers tinplate has 5 layers
Steel sheet 200-300 m FeSn2 layer 0.08 m Tin layer, 0.3 m Passive film 0.002 m Oil film 0.002 m
Galvanic protection is lost in presence of dissolved O food should not be retained in tinplated cans after
opening Sn has high hydrogen overpotential H+ reduction is
insignificant
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Al coatings Steel is aluminized by hot-dipping/spraying/cementation Molten bath Al+ Si to retard formation of brittle iron
aluminide layer Oxidation resistance up to 680C
Use: automotive mufflers, oven construction, hot-dip Al coated 409 SS- auto exhaust systems: 760C
Al-44Zn-1.5Si: cathodic protection, excellent resistance to marine and industrial atmospheres, and oxidation resistance at high T
Sprayed Al coatings: sealed with laquers/paints 0.08-2mm thick, longer life than Zn in industrial atm.
Cemented Al coatings (Calorizing) Al powder+ Alumina + NH4Cl as flux in Hydrogen atm at 1000C Al-Fe surface alloy forms- resists oxidation in air/oil-refining
sulphurous atm up to 950C Protect gas turbine blades (Ni based alloys) from oxidation
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Cr coatings
Cr highly resistant to atmospheric corrosion
thin bight overlay over other coatings
Retains decorative appeal for long time Extreme hardness
Low
Non-galling ( galling: wear caused by adhesion between sliding surfaces)
Corrosion resistance
used where wear & abrasion resistance is required
Protects underlying Ni layer from fogging
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Cladding
Cladding dissimilar metals High-T roll bonding/ co-extrusion Pressure welded diffusion bond Composite sheet/plate/tubing has favorable
properties of both the alloys eg. SS clad on to Cu- for corrosion resistance, retaining
thermal & electrical conductivity of Cu Roll bonding thin Al alloy layer (active) on high
strength Al alloy plate Sacrificial, pitting, exfoliation & SCC of high strength alloy is
inhibited
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Inorganic Coatings
Glass coatings (alkali borosilicates) Vitreous enamels (porcelain enamels)/glass linings Fused on metals Powdered glass is applied on pickled steel (Cu, brass, Al too) surface Heated in a furnace to glass softening T (750-850C)
powder melts, flows, and then hardens to a smooth, durable vitreous coating Several coats may be applied
Decorative Corrosion protection
Resist strong acids, mild alkalies excellent barrier to water/Oxygen- pore free coatings are must
Weakness: Susceptible to mechanical damage, cracking by thermal shock Crazing : network of cracks Repair- tamping Au/Ta foil into cracks
Gasoline pump casings, advertising signs, decorative building panels, plumbing fixtures, appliances etc
Aeroplane exhaust tubes- high T gases Long life in soils, too
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Portland Cement coatings
Low cost CTE ~ steel Ease of application/repair
Centrifugal interior of pipings Troweling, spraying 5- 25 mm thick- may be reinforced with wire mesh 8-10 days cure is required
Use: Cast iron, steel water pipes- water & soils sides Interior of hot/cold water tanks, oil tanks, protect against seawater, mine waters
Limitations: Damage from mechanical/ thermal shocks Sulphate rich waters attack the cement
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Chemical conversion coatings
In-situ chemical reaction with metal surface Phosphate coatings (steel)
Parkerizing/Bonderizing Brush/spray the cold/hot Mn or Zn acid orthophosphate (eg.
ZnH2PO4 + H3PO4) solution Sometimes accelerators (Cu2+, NO3-) are added Reaction product porous metal phosphate firmly bonded
to steel surface
Useful as a base for paints- good adherence Decreases the tendency for corrosion to undercut the
paint film at scratches Auto bodies- first & most imp layer is ~3 m
phosphate coating thinnest yet it anchors subsequent layers
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Oxide coatings on steel Controlled high T oxidation in air
Or Immersion in hot conc. alkali solutions containing nitrate, chlorates
Blue/brown/black in color (mostly Fe3O4)
Corrosion protection is obtained after rubbing in inhibiting oils/waxes eg. Oxidized gun barrels
Oxide coatings on Al Room T anodic oxidation (anodizing) in suitable electrolyte (eg. Dilute H2SO4) at >100 A/m
2.
Al2O3 coat: 0.0025- 0.025 mm thick
Must be hydrated to improve protection
(sealing) to close the porous Al oxide
Hot dilute chromate solution seal provides better protection Oxide coating may be dyed for colors
hydrated aluminum oxide (boehmite) has a greater volume than the aluminum oxide Steam/hot water exposure for several minutes
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Anodized coats provide good base for paints on Al
MgF2 on Mg by anodizing in (10-30% NH4HF2) at 90-120V - base for finishing treatments
Chromate coatings On Zn
Immerse in acidified sodium dichromate solution (200 g/l) for few sec at RT, rinse, dry
Zn chromate surface- slight yellow
Protects against spotting/staining by condensed moisture
Atmospheric corrosion resistance
For Zn-Al coatings and Cd coatings, too
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Organic Coatings
Physical barrier between the substrate and the corrosive environment
May also serve as a reservoir for inhibiting compounds Liquid-applied organic coatings
Suitable for atmospheric corrosion protection & mild corrosive conditions
Liquid Solvent
Carries the dissolved/suspended resin & inert pigment particles Solvent evaporation cures the coating Industrial coatings are futher cured by baking below ~300C
Resin Provides the chemical & corrosion resistance
Pigment Decreases permeability, provides opacity & colour => shields the cured resin
from degrading UV exposure May possess corrosion inhibition function
Minor additives Improve coating flow, emulsification, uniformity, reduce pigment settling
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Painting system (suggested)
Conditions
Unpainted Structural steel embedded in concrete, or protected by fire-proofing membrane in dry interiors
Latex or 1 coat Interior- dry, very mild
Oil base Exterior: normally dry, life >6 years
Vinyl, coal-tar epoxy, epoxy, chlorinated rubber
Frequent wetting by fresh water: condensation, splash, spray, frequent immersion
Vinyl, coal-tar epoxy, epoxy, Zn rich
Frequent wetting by salt water
Vinyl Chemical exposure: acidic pH < 5
Zn-rich Chemical exposure: pH 5-10
Epoxy Chemical exposure: mild organic solvents, aliphatic hydrocarbons
None suitable Chemical exposure: severe- oxidizing chemicals, strong organic solvents, high T exposures
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Primer coats:
resins that have good adhesion to the metal substrate and readility amenable to further coating
Improve durability of top coats
Top coats
Have maximum resistance to weather & chemical envorns.
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Oil based coatings (enamels) Alkyd resins
2/3 rd of the coatings used for corrosion protection Polymerize and cross-link by oxidation (air) during
drying/evaporation of the oil solvent Ease of application & low cost Suitable for steel surfaces exposed to atmosphere
Modified alkyds Additional organic groups (modifiers)
Silicon modified alkyds- durability, gloss retention, moisture & heat resistance
Marine maintenance, petroleum processing equipment Amino-resin-modified aldehydes
High humidity applications (fridge, washing machines) Phenolic modifications
For water immersion
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Vinyls Do not cross-link during curing, soften with T 14% PVA (polyvinyl acetate- a copolymer) disrupts the 86%
PVC (polyvinyl chloride) chains to allow dissolution in ketones
Curing: solvent evaporation deposits uncross-linked long chain polymer- consolidates into a film (such coating are called laquers)
Pigment: rutile TiO2 Multiple coats make the lacquers durable Can act as primers for other more resistant top coats,
vinyl coatings partially dissolve in many organic solvents => good adherence
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Chlorinated rubber coatings
Thermoplastic
Cure by solvent evaporation (like vinyls)
Prepared by reacting Cl with natural/synthetic rubber + add stabilizers/plasticizers
Resist water vapour penetration
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Epoxies Thermosetting coatings
Highly cross-linked & unreactive ( difficult to top coat)
Mix dissolved resin (glycidyl ether + pigment) with curing agent (polyamine/polyamide) before application
Curing agent co-polymerizes with resin Polyamine is a smaller molecule => tight, more chemical resistant
coating Polyamide => flexible coatings, slightly reduced resistance to
chemicals
Modified epoxies Application-wise tailored properties Coal-tar epoxies- coal tar as filler improves moisture resistance Phenolic cross-linked epoxies: resistant to alkalies, acids, solvents
Coatings for tanks, cans, drums process equipment
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Zn bearing coatings Zn powder as a filler Binder one of the organic resins
Paints with Zn pigments- 80 wt % pigment out of which 20 wt % is Zn oxide Zn/ZnO combination inhibits atmospheric rusting in primers/finish coats Excellent coverage, adhesion & abrasion resistance Less galvanic protection Good for rural & mild industrial atmosphere
Zn-rich coatings- 92-95 wt % metal Zn when dried, with no oxide Good galvanic protection Zn seals coating defects with Zn corrosion products & at defects provides galvanic protection
undercutting at paint/metal interface is suppressed- Unique characteristic!
To ensure electrical conductivity surface preparation is critical Remove all surface oxides/organics Zn is added immediately before spraying to minimise settling
Popular in aggressive atmospheres Zn rich primers are used under automotive topcoats (topcoats provide
decorative finish) Marine structures, ship hulls, ship superstructures, highway bridges, sewage &
water treatment plants, many other Not suitable at pH10 => Zn readily dissolves
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Surface preparation
Must for adherence & subsequent performance
Poor coating applied to well-prepared surface is better than vice versa
Time & expenses are justified
Contaminants
Oxides, scales, loose dirt, organic matter- grease, oil
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Specification Description
Solvent cleaning Oil, grease, soil, salt by cleaning with solvent, alkali, steam etc. Does not remove rust/mill scale
Hand-tool cleaning/ power tool cleaning
Loose rust & mill scale, loose paint- hand/power toolchipping, scraping, sanding, wire brushing, grinding
Blast cleaning Removal of all visible rust, mill scale, paint, foreign matter by blast (dry/wet using sand/grit/shot)
Pickling Removal of all mill scale, rust by chemical reaction or electrolysis
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Exposure tests for evaluation
Accelerated lab tests field exposure tests - too long for
development programs/quality control Accelerated lab test to simulate same
mechanism of degradation as in service/field
Salt fog test Accelerated atmospheric exposure test Spray of salt-laden water in closed high
humidity chamber Conditions approach oxygen saturation,
and continuous immersion as the spray condenses on specimens
Coatings are usually scribed to create a well defined defect and attack at the scribe is observed
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Alternate immersion cycles To enhance undercutting
50-75 % reduction in time required for equivalent undercutting as compared to continuous salt-fog tests
0.25 h immersion in 5% NaCl, air saturated 1.25 h drying at room temperature, ambient humidity 22.5 h exposure at 48C & 90% relative humidity
Accelerated Lab test ranking may not conform with the field tests
Final qualification of coated product is by service testing in the field
Coupons/panels exposed in atmosphere or in process streams Periodic examination
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Degradation and failure of coatings
Penetration by reactant species water, oxygen, SO2, other electrolytes
Cathodic disbondment (salt fog test):
Attributed to formation of OH- from reduction rxn
O2 + 2H2O + 4e 4OH- (1)
Coatings: macroscopic & microscopic defects
Pinholes, voids, mechanical scapes, scratches
Allow access of the environ to base metal
Anodic rxn Fe Fe2+ + 2e at the defect
Coupled to nereby cathod beneath the coating
O & H2O must migrate through the coating for (1) to occur
Alkalinity reacts with organic polymer to disbond the coating
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Oxide lifting Anodic corrosion products (oxides) accumulate under the
coating Lifting action and resultant undercutting
Occurs only during alternate wetting & drying (not continuous immersion)
Possible Mechanism -flocculant oxide corrosion products in water are compacted by drying -rust/scale forms an inner layer of Fe2+ & Fe(OH)2 ppt -these oxidize to Fe3O4 -Lamellar compact oxide corrosion product layers are formed from alternate wetting/drying cycles.
Cathodic rxns occur at the exposed metal surface/ or on magnetite (conducting) Electrochemical corrosion during wet exposure Deposition of colloidal corrosion products during dry periods- buildup of compact products - Conversion coatings inhibit disbondment
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Electrochemical testing
EIS (Electrochemical impedance spectroscopy)
Advanced research tool for coating development & evaluation
Development of an electrical equivalent circuit to simulate the electrochemical behavior of the metal-electrolyte interface
Generally suitable circuit for modeling the coated metal systems
Rp= polarization resistance R = solution resistance Rcp = Coating pore resistance Cd = double-layer capacitance Cc= coating capacitance
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Areas for Using EIS
fast evaluation of coatings
inhibitor performance
extremely low CR (
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Ideal Resistor
follows Ohms law at all V and I
R is independent of frequency.
AC I and V signals though a resistor are in phase.
In reality, ideal resistors rarely exist
some other complex circuit elements that do not fulfill all of the above conditions => Impedance
Like resistor an impedance is a measure of resistance to the flow of current in a circuit
I
ER
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Electrochemical Impedance
apply a sinusoidal voltage purturbation (AC potential) to a cell and measure the current through the cell => get impedance
Electrochemical Impedance is normally measured using a small excitation signal. This is done so that the cell's response is
pseudo-linear. In a linear (or pseudolinear) system, the
current response to a sinusoidal potential will also be sinusoidal at the same frequency but shifted in phase.
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Pseudo-linear response
Impedance analysis of linear circuits is much easier than analysis of non-linear ones
Electrochemical cells are non-linear, doubling the voltage does not necessarily double the current response
But it can be pseudo-linear if very small perturbation pulse is applied 1-10mV AC
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Purturbation (excitation) signal
v is potential at time t
Vm is the amplitude
is the radial frequency, rad/s
f is in Hz
In (pseudo) linear system, response signal i(t) is shifted in phase by
)sin()( tVtvm
f 2
)sin()( tItim
)sin(
)sin(
)sin(
)sin(
)(
)(
t
tZ
tI
tV
ti
tvZ
m
m
m
Impedance is expressed in terms of magnitude Zm, and a phase shift
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Impedance as a complex function
complex number representation of impedance is more powerful for circuit analysis purposes
)exp()(
)exp(
)exp(
jZi
vZ
tjIi
tjVv
m
t
t
mt
mt
using Eulers relationship:
)sin(cos)( jZZm
If we plot real Z on the abscissa and imaginary Z on the ordinate => Nyquist Plot
Real Part Imaginary Part
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The Nyquist Plot with impedance vector
each point on the plot is impedance at a given frequency, low frequency data are on the right (no magnitude is depicted, only range) impedance is a vector of length IzI and phase angle is (=arg Z)
eqvt ckt with one time constant
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The Bode Plot
It shows the frequency information log IZI vs log (), and Phase angle () vs log()
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Fitting of EIS data
EIS data is analyzed by fitting it to an eqvt ckt model Common circuit elements:
resistor: impedance is independent of frequency, has no imaginary component With only a real impedance component, the current through a resistor stays in phase with the voltage across the resistor.
Capacitor: its impedance decreases as the frequency is raised. Capacitors also have only an imaginary impedance component.
The current through an capacitor is phase shifted 90 degrees with respect to the voltage.
Inductor: opposite to that of a capacitor i.e. impedance increases as frequency increases, have only an imaginary impedance component.
Hence, the current through an inductor is phase-shifted -90 degrees with respect to the voltage.
Circuit
Component
V-I
relationship
Impedance
Resistor V=IR Z=R
Capacitor V=C dV/dt Z=1/jC
Inductor V=L di/dt Z=jL
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Combinations of ckt elements
series and/or parallel
series: Z = Z1+Z2+Z3+
parallel:
....111
21
ZZZ
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Application of perturbation- centered on
free corrosion potential
cathodic protection potential
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Modeling of Impedance Spectra
assuming a circuit made of different elements
Find/ fit values of elements
Relate these values to a physical phenomena so that it reasonably represents a corrosion process
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Physical Significance of Circuit Elements
elements in the model should have physical significance in the electrochemistry
Solution Resistance, R ~ Resistor, it is calculated when EIS data is fitted to a model
Double Layer : Cdl on a bare metal in an electrolyte ~ 20-60 f/cm2 .
Rp ~ resistor
Coating Capacitance
Virtual Inductor- a curve fitting ckt element formation of a surface layer like passive layer or fouling
(accumulation of unwanted material on surface)
may result from errors in measurement, non-ideal potentiostat
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Types of Models
In a physical model, each of the model's components is postulated to come from a physical process in the electrochemical cell The choice of which physical model applies to a given cell is made
from knowledge of the cell's physical characteristics EIS analysts can use the shape of a cell's EIS spectrum to help choose a
model for that cell
Models can also be partially or completely empirical. The circuit components in this type of model are not assigned to
physical processes in the cell. The model is chosen to give the best possible match between the
model's impedance and the measured impedance
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possible equivalent circuits (a circuit model is not unique!)
EIS spectrum
physical model should be verified! alter a single cell component (for example increase a paint layer thickness) and see if you get the expected changes in the impedance spectrum
Which is the best eqvt. ckt?
software packages to fit the spectra to analogous circuits
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Schematic Nyquist plot showing effects of partial diffusion control (either concentration polarization or diffusion through a coatingwith Warburg impedance W
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Validity of Spectra
Before attempting to model impedance spectra, be assured that the spectra are valid.
When a sine wave is used as the perturbation, the relationship between the current and applied voltage can be characterized by the ratio between the amplitudes of the voltage and the current
=> I Z I
and the phase shift between the vectors which represent the instantaneous voltage and current.=> phase shift of the vector (a complex number)
In mathematical terms, the impedance is a transfer function relating (the Laplace transform of) a response (e.g., current) to (the Laplace transform of) a perturbation (e.g., voltage).
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Conditions for validity
The transfer function can only become an impedance when the following four conditions are fulfilled: 1. Causality: The response of the system must be a result only of the
applied perturbation. difficult to verify (ASTM => equipment & cell)
2. Linearity: The relationship between the perturbation and response is independent of the magnitude of the perturbation.
easy, generate spectra using higher and lower magnitude and verify the modulus and phase angle values
3. Stability: The system returns to its starting state after the perturbation is removed. generate spectra from high to low freq and then from low to high freq.
(low freq. can upset the system as it takes longest)
4. Finite valued: The transfer function (impedance) must be finite as the frequency approaches both 0 and and is continuous and finite valued at all intermediate frequencies.
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Drawbacks Complex & expensive instrumentation Difficulty in quantitative measurements at low Occasional problems with data interpretation
Bode plots for AISI 1010 steel exposed for 2 h to aerated 0.5 N NaCl
Degreased, alkaline derusted, coated with 8 m polybutadiene v. high z
Degreased, coated with 8 m polybutadiene decrease in low frequency z, which measures Rcp rust at coating/metal interface induced coating defects => Rcp Cc (measured by linear portion of curves is same for (a) & (b) => coating shows little/no water uptake that would affect Cc.
Uncoated v. low z (Rcp & Cc are absent, only Rp is present) Rp is low => C. Rate