Voltammetry and Polarography

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voltammetry cyclic voltammetry differential pulse stripping analysis limiting current

Core Idea

Voltammetry applies a controlled, time-varying potential to an electrochemical cell and measures the resulting current; analytical information is contained in characteristic peak (or half-wave) potentials and limiting currents proportional to analyte concentration. Cyclic voltammetry (CV) probes redox mechanism and reversibility by scanning potential in both directions. Differential pulse and square wave voltammetry enhance sensitivity by subtracting background capacitive current. Anodic stripping voltammetry (ASV) preconcentrates trace metals onto an electrode by deposition, then strips them to give ppt-level detection limits.

How It's Best Learned

Record CV of ferricyanide/ferrocyanide at different scan rates to extract diffusion coefficients and assess reversibility using the Randles–Ševčík equation. Then determine Pb²⁺ and Cd²⁺ simultaneously by ASV to experience multi-element capability at trace levels.

Common Misconceptions

Explainer

In potentiometry — your prerequisite — you measured the potential of an electrochemical cell at equilibrium while drawing essentially no current. Voltammetry flips this strategy: you deliberately force the electrode potential to change over time and then measure the current that flows as electroactive species are oxidized or reduced at the electrode surface. The current-versus-potential curve (called a voltammogram) encodes both qualitative information (what species are present, via their characteristic peak potentials) and quantitative information (how much is present, via peak or limiting current magnitudes).

The simplest experiment to understand is cyclic voltammetry (CV). You start at a potential where nothing happens, sweep linearly to a more negative (or positive) potential, then reverse direction and sweep back. On the forward sweep, when the potential reaches the reduction potential of your analyte, current rises as molecules at the electrode surface are reduced. But the supply of reactant near the surface is finite — molecules must diffuse in from the bulk solution. This creates a peak: current rises as reduction begins, then falls as the diffusion layer thickens and fresh reactant can no longer reach the surface fast enough. On the reverse sweep, the reduced product sitting near the electrode is re-oxidized, producing a mirror-image peak. For a fully reversible reaction, the separation between the forward and reverse peaks is exactly 59/n millivolts (where n is the number of electrons transferred), and this separation stays constant regardless of how fast you scan. Deviations from this ideal reveal sluggish electron transfer kinetics, chemical reactions coupled to the electron transfer, or adsorption effects.

For analytical quantitation, CV is often too noisy because a large capacitive current (charging of the electrical double layer at the electrode surface) rides underneath the signal of interest. Differential pulse voltammetry and square-wave voltammetry solve this by applying small potential pulses superimposed on the sweep and sampling current at the end of each pulse, when the capacitive current has decayed but the faradaic (reaction) current persists. Subtracting currents measured at different points in the pulse cycle cancels the background, yielding sharp, well-defined peaks with detection limits orders of magnitude better than simple CV.

For trace-level analysis — parts per billion or below — anodic stripping voltammetry (ASV) adds a preconcentration step. First, you hold the electrode at a very negative potential for several minutes, electroplating trace metal ions (Pb²⁺, Cd²⁺, Cu²⁺) from a large volume of solution onto a tiny mercury or bismuth film electrode. Then you sweep the potential positively, stripping each metal back into solution at its characteristic potential. Because minutes of accumulation are released in seconds, the signal is enormously amplified. The stripping peak area is proportional to concentration, and different metals strip at different potentials, allowing simultaneous multi-element detection at concentrations as low as parts per trillion.

Practice Questions 5 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIterated Integrals and Fubini's TheoremDouble Integrals in Cartesian CoordinatesDouble Integrals over Rectangular RegionsDouble Integrals in Polar CoordinatesDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsGreen's TheoremSurface Integrals and Flux of Vector FieldsSurface Integrals and Flux of Vector FieldsDivergence Theorem: Flux and OutflowDivergence TheoremElectric FluxGauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesThe Electromagnetic SpectrumBlackbody Radiation and Planck's LawPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthHeisenberg Uncertainty PrincipleWavefunction and the Born RuleThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsScattering TheoryIntroduction to Scattering TheoryPartial Wave Analysis in ScatteringSpin Angular MomentumElectron Spin and Intrinsic Magnetic MomentStern-Gerlach Experiment: Spin Quantization and MeasurementElectron Diffraction and Matter Wave PropertiesDavisson-Germer Experiment: Crystal Diffraction of ElectronsElectron Diffraction and Matter Wave InterferenceWavefunctions and Probability Density InterpretationQuantum Superposition and Linear Combinations of StatesQuantum Operators and ObservablesCanonical Commutation Relations and UncertaintyHeisenberg Uncertainty Principle and Measurement LimitsTime-Independent Schrödinger Equation and EigenvaluesHydrogen Atom in Quantum MechanicsSpectral Lines and Energy TransitionsSelection Rules for Atomic TransitionsLS and jj Coupling Schemes in Multi-Electron AtomsPauli Exclusion Principle and Antisymmetric WavefunctionsElectron Configuration and the Aufbau PrincipleThe Periodic Table and Atomic Electronic StructureThe Periodic TableElectron ConfigurationPeriodic TrendsIonization EnergyIonic BondingLewis StructuresResonance Structures and Delocalized ElectronsResonance and Formal ChargeMolecular Polarity and Dipole MomentsIntermolecular ForcesStates of Matter and Phase Changes: Melting, Boiling, and SublimationGas Laws and the Ideal Gas EquationGas Stoichiometry and Volume-Volume CalculationsThermochemistry and EnthalpyHeat Capacity and CalorimetryEntropy and Molecular DisorderSpontaneity and ΔGEntropy and Gibbs Free EnergyChemical EquilibriumChemical KineticsRate Law DeterminationRate Laws and Reaction Order DeterminationReaction Mechanisms and Elementary StepsAutocatalytic Reactions and Nonlinear KineticsDiffusion-Controlled Reaction KineticsElectrode Kinetics and Butler-Volmer EquationElectrochemical Kinetics: Butler-Volmer TheoryVoltammetry and Polarography

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