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Free Radical Chain Reactions: Halogenation of Alkanes

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Introduction to Organic ChemistryReaction Mechanisms and Elementary StepsAllylic 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 ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication 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 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-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 IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble 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 FieldsWork and CirculationLine Integrals of Scalar and Vector FunctionsFundamental Theorem for Line IntegralsConservative Vector FieldsConservative Vector Fields and Potential FunctionsCurl and Divergence of Vector FieldsCurl and DivergenceDivergence TheoremElectric Flux and Divergence TheoremGauss's Law: Integral Form and MeaningSolving Problems with Gauss'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 WavesPostulates of Special RelativityTime DilationLength ContractionLorentz TransformationRelativistic Velocity AdditionRelativistic Momentum and EnergyMass-Energy Equivalence and E=mc²Photons as Particles with Energy and MomentumPlanck-Einstein Relation: Energy and FrequencyPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsObservables and Quantum OperatorsCommutators and Commutation RelationsQuantum Angular MomentumQuantum Mechanical Treatment of HydrogenSolving the Schrödinger Equation for Hydrogen AtomQuantum NumbersElectron ConfigurationPeriodic TrendsCovalent BondingElectronegativity and Bond PolarityIonic BondingLewis StructuresVSEPR Theory and Molecular GeometryMolecular Geometry and Electron Pair GeometryMolecular 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 KineticsReaction Rate and Factors Affecting Reaction SpeedRate Law DeterminationRate Laws and Reaction Order DeterminationReaction Mechanisms and Elementary StepsFree Radical Chain Reactions: Halogenation of Alkanes

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