Infrared Spectroscopy (Interpretation)

Infrared (IR) spectroscopy is one of the most powerful tools available to chemists for identifying functional groups within organic molecules. When infrared radiation — light with wavelengths between roughly 2.5 µm and 25 µm (wavenumbers 400–4000 cm⁻¹) — is passed through a sample, bonds within the molecule absorb specific frequencies and begin to vibrate more intensely. Because every type of bond has a characteristic absorption frequency determined by the masses of the atoms and the bond's strength, an IR spectrum acts like a molecular fingerprint, allowing chemists to identify which functional groups are present without needing to synthesise a known compound for comparison. The two fundamental types of bond vibration are stretching (where the bond length oscillates) and bending (where the bond angle changes). Stretching vibrations generally require more energy and appear at higher wavenumbers, while bending vibrations appear at lower wavenumbers. A molecule absorbs IR radiation only when the vibration causes a change in the molecule's dipole moment — this is why symmetric diatomic molecules like N₂ and O₂ are IR-inactive, but polar bonds such as O–H, C=O, and N–H give strong, distinctive absorptions. In practice, an IR spectrum is plotted with wavenumber (cm⁻¹) on the x-axis (decreasing left to right) and percentage transmittance on the y-axis, so absorptions appear as downward peaks ('troughs'). Chemists focus on two main regions: the functional group region (4000–1500 cm⁻¹), where broad and easily recognisable peaks from specific bonds appear, and the fingerprint region (1500–400 cm⁻¹), which contains a complex pattern of overlapping absorptions unique to a particular molecule and is used to confirm identity by comparison with a reference spectrum.

Key takeaways
  • The O–H Stretch (Alcohols and Carboxylic Acids)
  • The C=O Stretch (Carbonyls)
  • The N–H Stretch (Amines and Amides)
  • C–H Stretches and the Fingerprint Region
  • A Systematic Interpretation Strategy

The O–H Stretch (Alcohols and Carboxylic Acids)

A broad, strong absorption centred around 3200–3550 cm⁻¹ is characteristic of the O–H bond. In alcohols, hydrogen bonding between molecules broadens this peak significantly — a free O–H (in dilute solution) appears sharper near 3600 cm⁻¹. In carboxylic acids, hydrogen bonding is even stronger, producing a very broad absorption that can span from roughly 2500 cm⁻¹ to 3300 cm⁻¹, often described as a 'broad hump'. Carboxylic acids also show a strong C=O stretch near 1700–1725 cm⁻¹, so the combination of both absorptions confirms –COOH.

The C=O Stretch (Carbonyls)

The carbonyl group (C=O) produces one of the most diagnostic and reliable peaks in IR spectroscopy: a strong, sharp absorption near 1630–1850 cm⁻¹, the exact position depending on the molecular environment. Aldehydes appear at approximately 1720–1740 cm⁻¹ and also show two weak C–H stretches near 2700–2850 cm⁻¹ (the Fermi doublet). Ketones absorb near 1705–1725 cm⁻¹. Esters show a higher-wavenumber absorption around 1735–1750 cm⁻¹ and also a strong C–O stretch near 1000–1300 cm⁻¹. Amides absorb at lower wavenumbers, around 1630–1690 cm⁻¹, because the nitrogen lone pair delocalises into the carbonyl, reducing the bond order and thus the stretching frequency. Conjugation with a C=C also lowers the C=O frequency by about 30–40 cm⁻¹.

The N–H Stretch (Amines and Amides)

N–H bonds absorb in the region 3300–3500 cm⁻¹, similar to O–H but generally narrower and less broad. Primary amines (–NH₂) show two peaks in this region (symmetric and asymmetric N–H stretches), whereas secondary amines (–NH–) show only one. Primary amides also display two N–H peaks near 3300 and 3500 cm⁻¹ combined with the amide C=O around 1650–1690 cm⁻¹. Tertiary amines and tertiary amides lack N–H absorptions altogether, making their absence diagnostically useful.

C–H Stretches and the Fingerprint Region

Virtually all organic molecules show C–H stretching absorptions between 2850 and 3000 cm⁻¹ (sp³ C–H), around 3000–3100 cm⁻¹ (sp² C–H in alkenes and arenes), and near 3300 cm⁻¹ (sp C–H in terminal alkynes). Because these appear in almost every organic spectrum, they are less useful for differentiation unless combined with other evidence. Below 1500 cm⁻¹, the fingerprint region contains C–C, C–O, and C–N single-bond stretches plus a multitude of bending vibrations. This region is unique to each molecule: comparing it with a reference library spectrum confirms identity beyond doubt, which is how forensic scientists and pharmaceutical quality-control labs authenticate compounds.

A Systematic Interpretation Strategy

When interpreting an IR spectrum, follow a logical sequence: (1) Check 3200–3600 cm⁻¹ for broad O–H or N–H stretches. (2) Check 1630–1850 cm⁻¹ for a strong C=O absorption and note its precise position to distinguish aldehyde, ketone, ester, carboxylic acid, or amide. (3) Look for the Fermi doublet near 2700–2850 cm⁻¹ to confirm an aldehyde. (4) Check for C≡N near 2200–2260 cm⁻¹ or C≡C near 2100–2260 cm⁻¹. (5) Examine 1000–1300 cm⁻¹ for strong C–O single-bond stretches (alcohols, esters, ethers). (6) Use the fingerprint region to confirm identity against a known spectrum.

The Key Equation

ν~=12πckμ\tilde{\nu} = \frac{1}{2\pi c} \sqrt{\frac{k}{\mu}}
  • \tilde{\nu} — Wavenumber (cm⁻¹): The number of wave cycles per centimetre; the x-axis unit in an IR spectrum.
  • c — Speed of light (cm s⁻¹): Speed of electromagnetic radiation, approximately 3 × 10¹⁰ cm s⁻¹.
  • k — Force constant (N m⁻¹): A measure of bond stiffness; triple bonds have larger k than double bonds, which in turn are larger than single bonds, explaining why triple bonds absorb at higher wavenumbers.
  • \mu — Reduced mass (kg): Defined as μ = m₁m₂/(m₁+m₂); lighter atoms vibrate at higher frequencies, so O–H absorbs at much higher wavenumber than O–D.

Worked Example

Problem. An unknown colourless liquid gives an IR spectrum with the following absorptions: a broad strong trough centred at 3300 cm⁻¹, a strong sharp trough at 1715 cm⁻¹, and a trough at 2700–2850 cm⁻¹ (weak, double peak). There is no broad absorption below 3000 cm⁻¹. Identify the functional groups present and suggest a possible compound class.

\ceHO−CH2−CHO (glycolaldehyde, a hydroxyaldehyde)\ce{HO-CH2-CHO} \text{ (glycolaldehyde, a hydroxyaldehyde)}

Answer. The spectrum indicates the presence of an aldehyde functional group (C=O at 1715 cm⁻¹ confirmed by the Fermi doublet near 2700–2850 cm⁻¹) and an alcohol hydroxyl group (broad O–H near 3300 cm⁻¹). The compound is a hydroxyaldehyde.

Figure
Diagram
Simplified IR Absorption Chart for Common Functional GroupsWavenumber (cm⁻¹)% Transmittance4000350030002500200015001000100%0%O-H3200-3550N-H3300-3500C-Hsp³C≡C2100C=O1630-1850Fingerprintregion1500–400 cm⁻¹1500
Origins · 1 minWilliam Weber Coblentz and how this was discovered
WW
William Weber Coblentz
1873–1962 · American

Coblentz was a pioneering physicist at the US National Bureau of Standards who, in the early 1900s, systematically measured and catalogued the infrared absorption spectra of hundreds of organic and inorganic compounds. His meticulous work, compiled in his landmark 1905 publication 'Investigations of Infrared Spectra', established the foundation for using IR spectroscopy as an analytical tool and demonstrated that specific molecular bonds absorb characteristic IR frequencies — the core principle underlying all modern IR spectroscopy. Coblentz also made major contributions to astrophysics, measuring the infrared radiation from stars and planets — including the first serious estimate of the surface temperature of Mars — using the same sensitive infrared detection instruments he developed for his chemistry research.

  • NMR Spectroscopy (Introduction) — NMR and IR spectroscopy are complementary techniques: IR identifies functional groups while NMR reveals the carbon–hydrogen framework, and together they can fully elucidate an unknown structure.
  • Mass Spectrometry — Mass spectrometry provides molecular mass and fragmentation patterns; combining it with IR data greatly narrows down possible molecular structures.
  • Functional Groups in Organic Chemistry — IR spectroscopy is primarily used to detect functional groups; a solid understanding of carbonyl, hydroxyl, amine, and other groups is essential for correct spectral interpretation.
  • The Electromagnetic Spectrum — Understanding where infrared radiation sits in the electromagnetic spectrum — and why photon energy must match vibrational energy gaps — underpins the physical basis of IR spectroscopy.
  • Carbonyl Compounds (Aldehydes and Ketones) — The C=O stretch is the most diagnostically useful IR absorption; understanding the chemistry of aldehydes, ketones, esters, and carboxylic acids explains the variation in C=O frequency.