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Chemistry · Glossary

What is Wavenumber?

Definition 34.1 School Chemistry — Grades 1 to 12 · Chapter 34 — Infrared Spectroscopy

The wavenumber σ\sigma of a light is the inverse of its wavelength, σ=1/λ\sigma = 1/\lambda. In infrared spectroscopy it is expressed in cm−1\mathrm{cm}^{-1}: the number of wavelengths in one centimetre. A larger wavenumber means a shorter wavelength and a faster vibration.

Examples

Example 34.2 (From a wavenumber to a wavelength)

A band at σ=2000 cm−1\sigma = 2000\,\mathrm{cm}^{-1} corresponds to λ=1/2000=5.0×10−4 cm=5.0 µm\lambda = 1/2000 = 5.0 \times 10^{-4}\,\mathrm{cm} = 5.0\,\text{µ}\mathrm{m}. Infrared spectra usually run from 4000 cm−14000\,\mathrm{cm}^{-1} (2.5 µm2.5\,\text{µ}\mathrm{m}) to 500 cm−1500\,\mathrm{cm}^{-1} (20 µm20\,\text{µ}\mathrm{m}).

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