{"term":{"id":"05405","doi":"10.1351\/goldbook.R05405","code":"R05405","status":"current","longtitle":"IUPAC Gold Book - root-mean-square end-to-end distance, 1\/2, in polymers","title":"root-mean-square end-to-end distance","version":"2.3.3","lastupdated":"2014-02-24","definitions":[{"id":"1","text":"The square root of the mean-square end-to-end distance of a linear polymer chain averaged over all conformations of the chain. For a freely jointed chain consisting of N segments each of length L, it is given by: < r2 >(1\/2) = sqrt(N).L. If this term is used repeatedly, and if it is not confusing, the abbreviated name 'end-to-end distance' may be used.","contexts":{"in":["polymers"]},"links":[{"title":"linear polymer","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/L03556"}],"math":[{"alttext":"N","latex":"N"},{"alttext":"L","latex":"L"},{"meaning":"Root-mean-square end-to-end distance","type":"equation","alttext":"< r2 >(1\/2) = sqrt(N).L","latex":"\\text{<}r^{2}\\text{>}^{1\/2} = \\sqrt{N}\\ L"},{"alttext":"< r2 >0(1\/2)","latex":"\\text{<}r^{2}\\text{>}_{0}^{1\/2}"}],"sources":["Purple Book, 1st ed., p. 49 (http:\/\/old.iupac.org\/publications\/books\/author\/metanomski.html)"]}],"links":{"html":"https:\/\/goldbook.iupac.org\/terms\/view\/R05405\/html","json":"https:\/\/goldbook.iupac.org\/terms\/view\/R05405\/json","xml":"https:\/\/goldbook.iupac.org\/terms\/view\/R05405\/xml","plain":"https:\/\/goldbook.iupac.org\/terms\/view\/R05405\/plain","pdf":"https:\/\/goldbook.iupac.org\/terms\/view\/R05405\/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":"2023-05-28T02:29:05+00:00"}}