Term: Bohr radius https://doi.org/10.1351/goldbook.B00693 Definition: Atomic fundamental physical constant used as atomic unit of length: \[a_{0}=\frac{4\ \pi \ \varepsilon_{0}\ \mathrm{\hslash }^{2}}{m_{\text{e}}\ e^{2}}=5.291 \ 772\ 49\ (24)\times 10^{-11}\ \text{m}\] where e is the elementary charge, ℏ is the Planck constant divided by 2π and m e is the electron rest mass. Related Terms: 1) elementary charge (http://doi.org/10.1351/goldbook.E02032). 2) planck constant (http://doi.org/10.1351/goldbook.P04685). 3) electron rest mass (http://doi.org/10.1351/goldbook.E02008). 4) atomic unit (http://doi.org/10.1351/goldbook.A00504). Source: CODATA Bull. 1986, 63, 1 (https://doi.org/10.6028/jres.092.010) Citation: 'Bohr radius' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. https://doi.org/10.1351/goldbook.B00693 License: 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. Disclaimer: 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.