Title: rotational constants Long Title: IUPAC Gold Book - rotational constants DOI: 10.1351/goldbook.R05409 Status: current Definition Coefficients of quantum numbers in the rotational term expression and inversely proportional to the principal moments of inertia. Symbols: \(A\), \(B\), \(C\). \(\overset{˜}{A}=\frac{h}{8\ \pi ^{2}\ c\ I_{\rm{A}}}\) (dimension wavenumber), \(A=\frac{h}{8\ \pi ^{2}\ I_{\rm{A}}}\) (dimension frequency) where \(h\) is the Planck constant and \(c\) the speed of light in vacuum. Related Terms - Planck constant: https://goldbook.iupac.org//terms/view/P04685 - principal moments of inertia: https://goldbook.iupac.org//terms/view/P04848 - term: https://goldbook.iupac.org//terms/view/T06272 Source - Green Book, 2nd ed., p. 23 (https://goldbook.iupac.org/files/pdf/green_book_2ed.pdf) Other Outputs - html: https://goldbook.iupac.org/terms/view/R05409/html - json: https://goldbook.iupac.org/terms/view/R05409/json - xml: https://goldbook.iupac.org/terms/view/R05409/xml Citation: Citation: 'rotational constants' 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.R05409 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. Collection: If you are interested in licensing the Gold Book for commercial use, please contact the IUPAC Executive Director at executivedirector@iupac.org . 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. Accessed: 2026-06-20T02:19:23+00:00