{"term":{"id":"04035","doi":"10.1351\/goldbook.M04035","code":"M04035","status":"current","longtitle":"IUPAC Gold Book - most probable distribution (in macromolecular assemblies)","title":"most probable distribution (in macromolecular assemblies)","version":"2.3.3","lastupdated":"2014-02-24","definitions":[{"id":"1","text":"A discrete distribution with the differential mass-distribution function of the form: fw(x) = a2.x(1 - a)^(x - 1) is a parameter characterizing the chain length, such as relative molecular mass or degree of polymerization and a is a positive adjustable parameter. For large values of x, the most probable distribution converges to the particular case of the Schulz–Zimm distribution with b = 1. In the literature, this distribution is sometimes referred to as the Flory distribution or the Schulz–Flory distribution.","links":[{"title":"mass-distribution function","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/M03716"},{"title":"chain length","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/C00956"},{"title":"relative molecular mass","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/R05271"},{"title":"degree of polymerization","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/D01569"},{"title":"Schulz–Zimm distribution","type":"internal","url":"https:\/\/goldbook.iupac.org\/terms\/view\/S05502"}],"math":[{"alttext":"fw(x) = a2.x(1 - a)^(x - 1)","latex":"f_{\\text{w}}(x) = a^{2}\\ x\\ (1- a)^{x- 1}"},{"alttext":"x","latex":"x"},{"alttext":"a","latex":"a"},{"alttext":"x","latex":"x"},{"meaning":"TODO","type":"numeric value","alttext":"b = 1","latex":"b=1"}],"sources":["Purple Book, 1st ed., p. 56 (http:\/\/old.iupac.org\/publications\/books\/author\/metanomski.html)"]}],"referencedin":[{"title":"Wikipedia - Flory–Schulz distribution (en)","url":"https:\/\/en.wikipedia.org\/wiki\/Flory–Schulz_distribution"},{"title":"Wikipedia - Schulz-Flory-Verteilung (de)","url":"https:\/\/de.wikipedia.org\/wiki\/Schulz-Flory-Verteilung"}],"links":{"html":"https:\/\/goldbook.iupac.org\/terms\/view\/M04035\/html","json":"https:\/\/goldbook.iupac.org\/terms\/view\/M04035\/json","xml":"https:\/\/goldbook.iupac.org\/terms\/view\/M04035\/xml","plain":"https:\/\/goldbook.iupac.org\/terms\/view\/M04035\/plain","pdf":"https:\/\/goldbook.iupac.org\/terms\/view\/M04035\/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":"2023-05-31T09:44:36+00:00"}}