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Voltammetry and Polarography

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Potentiometry and Ion-Selective ElectrodesDiffusion and Fick's Laws+5 more→→PolarographyVoltammetry and Electrochemical Stripping Analysis
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

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → Quantum Angular Momentum → Quantum Mechanical Treatment of Hydrogen → Solving the Schrödinger Equation for Hydrogen Atom → Quantum Numbers → Electron Configuration → Periodic Trends → Covalent Bonding → Electronegativity and Bond Polarity → Ionic Bonding → Lewis Structures → VSEPR Theory and Molecular Geometry → Molecular Geometry and Electron Pair Geometry → Molecular Polarity and Dipole Moments → Intermolecular Forces → States of Matter and Phase Changes: Melting, Boiling, and Sublimation → Gas Laws and the Ideal Gas Equation → Gas Stoichiometry and Volume-Volume Calculations → Thermochemistry and Enthalpy → Heat Capacity and Calorimetry → Entropy and Molecular Disorder → Spontaneity and ΔG → Entropy and Gibbs Free Energy → Chemical Equilibrium → Acid-Base Chemistry → Weak Acid Ionization → Weak Base Ionization → Acid and Base Strength: Ka, Kb, and Ionization → Leaving Groups and Nucleofugality → SN2 Substitution Reactions → SN1 Substitution Reactions → E1 Elimination Reactions → Alcohols and Ethers: Structure, Properties, and Nomenclature → Reactions of Alcohols → Aldehydes and Ketones: Structure and Reactivity → Oxidation Reactions in Organic Chemistry → Oxidation of Alcohols to Aldehydes and Ketones → Aldehyde and Ketone Structure and Nomenclature → Nucleophilic Addition to Aldehydes and Ketones → Carboxylic Acids and Their Derivatives → IUPAC Nomenclature of Carbonyls and Carboxylic Acids → IUPAC Nomenclature of Alkenes → Electrophilic Addition to Alkenes → Aromaticity and Benzene → Electrophilic Aromatic Substitution (EAS) → Nucleophilic Aromatic Substitution (SNAr) → Nucleophilic Acyl Substitution → Amines: Structure, Basicity, and Reactions → Amine Reactivity: Nucleophilicity and Basicity → Amino Acid Structure and Properties → Peptide Bonds and Polypeptide Formation → Protein Primary Structure → Protein Secondary Structure → Protein Tertiary Structure → Enzyme Structure and Function → Enzyme Classification and Nomenclature → Enzyme Cofactors and Coenzymes → Michaelis-Menten Enzyme Kinetics → Autocatalytic Reactions and Nonlinear Kinetics → Diffusion-Controlled Reaction Kinetics → Electrode Kinetics and Butler-Volmer Equation → Electrochemical Kinetics: Butler-Volmer Theory → Voltammetry and Polarography

Longest path: 212 steps · 1209 total prerequisite topics

Prerequisites (7)

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