08276 IUPAC Gold Book - Nyquist frequency 10.1351/goldbook.08276 08276 current 1 Highest frequency or wavenumber that can be characterized by sampling at a given rate in order to be able to fully reconstruct the signal without artefacts. The Nyquist sampling theorem states that an FID or interferogram must be sampled at a rate at least twice the highest frequency in the FID or interferogram in order to reproduce the correct frequencies in an NMR or Fourier-transform infrared spectrum, respectively, without folding (folding (in spectroscopy)) artefacts. \(f_{\rm{Nyquist}} = ½\nu\). Nyquist sampling theorem https://goldbook.iupac.org/terms/view/08275 folding in spectroscopy https://goldbook.iupac.org/terms/view/08248 wavenumber https://goldbook.iupac.org/terms/view/08302 PAC, 2021, 93, 647. 'Glossary of methods and terms used in analytical spectroscopy (IUPAC Recommendations 2019)' on page 669 (https://doi.org/10.1515/pac-2019-0203) https://goldbook.iupac.org/terms/view/08276/html https://goldbook.iupac.org/terms/view/08276/json https://goldbook.iupac.org/terms/view/08276/plain Citation: 'Nyquist frequency' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.08276 The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/) for individual terms. If you are interested in licensing the Gold Book for commercial use, please contact the IUPAC Executive Director at executivedirector@iupac.org . The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using. 2026-07-01T00:48:41+00:00