Term: enrichment factor, \(S\) https://doi.org/10.1351/goldbook.E02127 Definition: The factor by which the ratio of two substances in the feed must be multiplied to give their ratio after treatment. \[\frac{Q_{\text{A}}}{Q_{\text{B}}} = S_{\text{A,B}}\ \frac{Q_{\text{A}}^{'}}{Q_{\text{B}}^{'}}\] where QA and QA' are the final and initial amounts of species A and QB and QB' are the final and initial amounts of species B. Hence S(A,B) = EA/EB where E is the fraction extracted. In terms of D,n,r (where n is the number of stages and r the phase ratio), \[S_{\text{A,B}} = \frac{1- (1\,+\,r\ D_{\text{A}})^{-n}}{1- (1\,+\,r\ D_{\text{B}})^{-n}}\] Related Terms: 1) fraction extracted (http://doi.org/10.1351/goldbook.F02503). Source: Orange Book, 2nd ed., p. 90 (https://media.iupac.org/publications/analytical_compendium/) Citation: 'enrichment factor, \(S\)' 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.E02127 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.