Inelastic neutron scattering (INS) spectroscopy is a technique that allows the vibrational spectra of solid materials to be obtained. The interaction of the probe is with the nucleus rather than with the electrons, and this results in significant differences with infrared and Raman spectroscopies. In particular, there are no selection rules, intensities are straightforward to calculate and motions involving hydrogen dominate the spectrum. The instrumentation used at both continuous (reactor) and pulsed (spallation) neutron sources is described. The applications of INS spectroscopy span biology to materials science to geology to engineering in addition to physics and chemistry. Particularly active areas include—catalysis, polymers, magnetism, hydrogen‐in‐metals, hydrogen‐bonding, glasses and fullerenes. Four recent uses of INS in the areas of hydrodesulfurization catalysis, polyethylene, the hydrogen‐in‐metals systems γ‐ZrH and α‐MnH
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and in the two studies of proteins (staphyloccal nuclease and collagen) are described.