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Corrosion Protection Methods Coatings

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  • Corrosion Protection Methods

    Coatings

  • Corrosion Protection by Coatings

    Metallic Coatings

    Other Inorganic Coatings

    Paint Coatings

    Other Forms of Organic Coatings

    Pre-treatment Before Coating

  • 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

  • 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

  • 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

  • Cementation

    Tumbling the work in a mix (metal powder+flux) at high T

    Powder metal diffuses into base metal

    Eg. Al, Zn

  • 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

  • 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

  • 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

  • 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!

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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.

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • Areas for Using EIS

    fast evaluation of coatings

    inhibitor performance

    extremely low CR (

  • 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

  • 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.

  • 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

  • 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

  • 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

  • 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

  • The Bode Plot

    It shows the frequency information log IZI vs log (), and Phase angle () vs log()

  • 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

  • Combinations of ckt elements

    series and/or parallel

    series: Z = Z1+Z2+Z3+

    parallel:

    ....111

    21

    ZZZ

  • Application of perturbation- centered on

    free corrosion potential

    cathodic protection potential

  • 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

  • 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

  • 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

  • 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

  • Schematic Nyquist plot showing effects of partial diffusion control (either concentration polarization or diffusion through a coatingwith Warburg impedance W

  • 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).

  • 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.

  • 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