¹³C NMR and IR Spectroscopy for Structure Determination

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nmr carbon-nmr ir spectroscopy structure-determination

Core Idea

¹³C NMR reveals the carbon skeleton: the number of peaks indicates the number of unique carbons; chemical shifts reflect environment (aliphatic ~0–50 ppm, aromatic/sp² ~100–150 ppm, carbonyl ~150–220 ppm). DEPT distinguishes CH₃, CH₂, CH, and quaternary carbons. IR spectroscopy identifies functional groups through characteristic absorptions: C=O (1650–1850 cm⁻¹), C-O (1000–1300 cm⁻¹), N-H, O-H, aromatic C=C (1400–1600 cm⁻¹).

How It's Best Learned

Combine ¹H NMR, ¹³C NMR, and IR data to determine structures. Use molecular formula and degree of unsaturation to guide structure proposals.

Common Misconceptions

Explainer

From proton NMR, you learned to read hydrogen environments — chemical shifts, splitting patterns, and integration tell you about the electronic surroundings, neighboring hydrogens, and relative numbers of equivalent protons. ¹³C NMR does the analogous job for the carbon skeleton. Each chemically distinct carbon in a molecule produces one peak, so the number of peaks immediately tells you how many unique carbon environments exist. A molecule with high symmetry (like para-xylene) will show fewer peaks than its molecular formula might suggest, because symmetry-equivalent carbons give a single signal.

The chemical shift ranges in ¹³C NMR are more spread out than in ¹H NMR (0–220 ppm vs. 0–12 ppm), which makes peaks easier to distinguish. Alkyl carbons (sp³, no electronegative neighbors) appear near 0–50 ppm. Carbons bonded to oxygen or nitrogen shift downfield to 50–100 ppm. Aromatic and alkene carbons (sp²) appear at 100–150 ppm. Carbonyl carbons are the most deshielded, ranging from about 150 ppm (carboxylic acids, esters) to 220 ppm (ketones, aldehydes). The DEPT experiment (Distortionless Enhancement by Polarization Transfer) adds another layer: it distinguishes CH₃, CH₂, CH, and quaternary carbons by running the spectrum under different conditions and comparing which peaks point up, down, or vanish.

IR spectroscopy complements NMR by identifying functional groups through the frequencies at which bonds vibrate. Each bond type absorbs infrared light at a characteristic frequency — the carbonyl C=O stretch near 1700 cm⁻¹ is one of the strongest and most recognizable absorptions in organic chemistry. A broad O-H stretch between 2500–3300 cm⁻¹ screams "carboxylic acid." A sharp N-H absorption near 3300–3500 cm⁻¹ indicates an amine or amide. The fingerprint region below 1500 cm⁻¹ is unique to each molecule but difficult to interpret peak-by-peak — it is most useful for confirming identity against a reference spectrum rather than for de novo structure determination.

The real power emerges when you combine all three techniques. Start with the molecular formula to calculate the degree of unsaturation (also called the index of hydrogen deficiency), which tells you the total number of rings plus double bonds. Then use IR to identify functional groups — is there a carbonyl? An O-H? An N-H? Next, use ¹³C NMR (with DEPT) to count unique carbons and classify them by hybridization and environment. Finally, use your ¹H NMR data for detailed connectivity information — splitting patterns reveal which hydrogens are neighbors, and integration confirms ratios. Each technique constrains the possibilities, and together they typically narrow the structure down to one candidate. This multi-technique approach is the standard workflow for structure determination in organic chemistry, and mastering it prepares you for tackling unknown compounds in both coursework and research.

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 MomentsFunctional Groups in Organic ChemistryInfrared (IR) Spectroscopy¹³C NMR and IR Spectroscopy for Structure Determination

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