A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

Capillary Electrophoresis Separations

Graduate Depth 181 in the knowledge graph ☐ I know this ☆ Set as goal
1,089prerequisites beneath it
See this on the map →
Oxidation-Reduction ReactionsCapillary Electrophoresis: Fundamentals and Applications→
capillary electrophoresis CE electrophoresis

Core Idea

Capillary electrophoresis separates charged analytes by applying high voltage across a narrow capillary, exploiting differences in charge-to-size ratio. CE offers high resolution, minimal sample requirements, and rapid analysis times.

Explainer

From your study of electrochemistry, you know that charged species migrate in an electric field — cations toward the cathode and anions toward the anode. Capillary electrophoresis (CE) takes this principle and confines it inside a very narrow fused-silica capillary, typically 25–75 micrometers in internal diameter and 30–100 cm long. By applying a high voltage (typically 10–30 kV) across the capillary filled with a buffer solution, ions migrate at speeds determined by their electrophoretic mobility, which depends on the ratio of their charge to their hydrodynamic size. Small, highly charged ions move fastest; large, weakly charged ions move slowest. This simple physical principle produces remarkably efficient separations.

What makes CE unique among separation techniques is the role of electroosmotic flow (EOF). The inner surface of a silica capillary carries negative charges (deprotonated silanol groups) at typical buffer pH values. These negative charges attract a layer of cations from the buffer, and when voltage is applied, this cation layer drags the bulk solution toward the cathode. The result is a flat flow profile — unlike the parabolic flow in HPLC columns — which means virtually no band broadening from flow dynamics. EOF is usually strong enough to carry even anions (which would otherwise migrate toward the anode) toward the detector at the cathode end, so cations, neutral species, and anions can all be detected in a single run, separated by their different net velocities.

In practice, a CE experiment requires remarkably little: nanoliter injection volumes, a few milliliters of buffer, and a standard UV or fluorescence detector positioned near the capillary outlet. This makes CE ideal for situations where sample is precious — biological fluids, forensic evidence, or single-cell analysis. The technique achieves theoretical plate counts of 100,000 to 1,000,000, far exceeding typical HPLC performance, because the flat EOF profile and narrow capillary minimize all major sources of band broadening. Variants of the technique extend its reach: capillary zone electrophoresis (CZE) separates ions in free solution, micellar electrokinetic chromatography (MEKC) adds surfactant micelles to separate neutral molecules, and capillary gel electrophoresis (CGE) uses a gel-filled capillary for size-based separations of proteins and DNA fragments.

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 → Statistical Mechanics: Ensembles and the Boltzmann Distribution → Partition Function: Definition and Properties → The Canonical Partition Function and Thermodynamic Derivation → Maxwell-Boltzmann Distribution and Classical Limit → Transport Properties of Gases → Diffusion and Fick's Laws → Chromatography: Principles and Theoretical Plate Model → Capillary Electrophoresis: Fundamentals and Applications → Capillary Electrophoresis Separations

Longest path: 182 steps · 1089 total prerequisite topics

Prerequisites (2)

Leads To (0)

No topics depend on this one yet.