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Free Radical Chain Reactions: Halogenation of Alkanes

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Introduction to Organic ChemistryReaction Mechanisms and Elementary Steps→→Allylic Oxidation and Selectivity
mechanism free-radical halogenation chain-reaction

Core Idea

Free radical halogenation of alkanes proceeds via a chain mechanism: initiation (light or heat homolytically cleaves X₂), propagation (radical abstracts H from the alkane, forming HX and a new radical), and termination (radical-radical recombination). The reaction shows selectivity for secondary and tertiary C-H bonds over primary, reflecting the stability of the resulting alkyl radicals.

How It's Best Learned

Draw the full mechanism (initiation, propagation, termination) in detail. Determine product selectivity by comparing alkyl radical stabilities and explaining why 3° > 2° > 1° C-H reactivity.

Common Misconceptions

Explainer

From your introduction to organic chemistry, you know that alkanes are remarkably unreactive — they lack π bonds, lone pairs in accessible orbitals, and polar bonds that would attract nucleophiles or electrophiles. Free radical halogenation is one of the few ways to functionalize an alkane, and it works because it sidesteps ionic chemistry entirely. Instead, it relies on highly reactive neutral species — free radicals — that have an unpaired electron and will abstract a hydrogen atom from even the most reluctant C–H bond. The mechanism follows the chain reaction pattern you learned in elementary reaction steps: initiation, propagation, and termination.

Initiation generates the first radicals. Ultraviolet light or heat supplies enough energy to break the relatively weak X–X bond in a halogen molecule (Cl₂ or Br₂) homolytically — each atom takes one electron, producing two halogen radicals (X·). This step is endothermic and slow, which is why the reaction requires an energy input to get started. Once radicals exist, the self-sustaining propagation cycle begins. In propagation step 1, a halogen radical abstracts a hydrogen from the alkane (R–H + X· → R· + HX), generating an alkyl radical and a molecule of hydrogen halide. In propagation step 2, the alkyl radical reacts with another X₂ molecule (R· + X₂ → R–X + X·), forming the halogenated product and regenerating a halogen radical. That regenerated radical feeds back into step 1, so a single initiation event can produce thousands of product molecules before the chain is broken.

Termination occurs when two radicals collide and combine (X· + X· → X₂, R· + X· → R–X, or R· + R· → R–R), destroying the chain carriers. Because radical concentrations are very low at any given moment, termination is statistically rare — but it is what ultimately stops the reaction and can also produce minor side products (like R–R coupled dimers).

The most important feature of this reaction is selectivity: not all C–H bonds react equally. The propagation step where the halogen radical abstracts a hydrogen is the selectivity-determining step, and its activation energy depends on the stability of the alkyl radical formed. Tertiary radicals are more stable than secondary, which are more stable than primary, following the same hyperconjugation logic as carbocation stability. For chlorination, this selectivity is modest (roughly 5:4:1 for 3°:2°:1° per hydrogen), so product mixtures are common. For bromination, selectivity is dramatic (roughly 1600:80:1), making bromine far more useful for selective functionalization. The difference arises because the C–H abstraction step is more endothermic for bromine than for chlorine, giving a later, more product-like transition state where radical stability differences are more fully expressed — a direct application of Hammond's postulate.

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 → Chemical Kinetics → Reaction Rate and Factors Affecting Reaction Speed → Rate Law Determination → Rate Laws and Reaction Order Determination → Reaction Mechanisms and Elementary Steps → Free Radical Chain Reactions: Halogenation of Alkanes

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