{"term":{"id":"03628","doi":"10.1351\/goldbook.L03628","code":"L03628","status":"current","longtitle":"IUPAC Gold Book - Lorentzian band shape","title":"Lorentzian band shape","version":"2.3.3","lastupdated":"2014-02-24","definitions":[{"id":"1","text":"This band shape is described by the function: F(ν - ν0) = 1\/π.γ((ν - ν0)^2 + ɣ^2)-1 is the mean band position, γ is the half band width at half maximum, and F(ν - ν0) is the frequency distribution function.","links":[{"title":"Gaussian band shape","type":"seealso","url":"https:\/\/goldbook.iupac.org\/terms\/view\/G02597"},{"title":"frequency distribution","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/F02526"}],"math":[{"alttext":"F(ν - ν0) = 1\/π.γ((ν - ν0)^2 + ɣ^2)-1","latex":"F\\left(\\nu - \\nu _{0}\\right) = \\frac{1}{\\pi }\\ \\gamma \\ ((\\nu - \\nu _{0})^{2}+\\gamma ^{2})^{-1}"},{"alttext":"v 0","latex":"\\nu_{0}"},{"alttext":"γ","latex":"\\gamma "},{"meaning":"Frequency distribution function","type":"quantity","alttext":"F(ν - ν0)","latex":"F\\ (\\nu - \\nu _{0})"}],"sources":["PAC, 1996, 68, 2223. 'Glossary of terms used in photochemistry (IUPAC Recommendations 1996)' on page 2252 (https:\/\/doi.org\/10.1351\/pac199668122223)"]}],"links":{"html":"https:\/\/goldbook.iupac.org\/terms\/view\/L03628\/html","json":"https:\/\/goldbook.iupac.org\/terms\/view\/L03628\/json","xml":"https:\/\/goldbook.iupac.org\/terms\/view\/L03628\/xml","plain":"https:\/\/goldbook.iupac.org\/terms\/view\/L03628\/plain","pdf":"https:\/\/goldbook.iupac.org\/terms\/view\/L03628\/pdf"},"citeas":"IUPAC. Compendium of Chemical Terminology, 2nd ed. (the \"Gold Book\"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). Online version (2019-) created by S. J. Chalk. ISBN 0-9678550-9-8. https:\/\/doi.org\/10.1351\/goldbook.","license":"Licensed under Creative Commons Attribution-NoDerivatives (CC BY-NC-ND) 4.0 International (https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/)","collection_reuse":"For parties interested in reusing the entire IUPAC Gold Book please contact IUPAC here https:\/\/www.cognitoforms.com\/IUPAC1\/ContactInformationForm","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":"2023-06-08T05:06:36+00:00"}}