{"term":{"id":"03614","doi":"10.1351\/goldbook.L03614","code":"L03614","status":"current","longtitle":"IUPAC Gold Book - log-normal distribution","title":"log-normal distribution","version":"2.3.3","lastupdated":"2014-02-24","definitions":[{"id":"1","text":"A distribution function F(y), in which the logarithm of a quantity is normally distributed, i.e. F(y)=fgauss(ln y) where fgauss(x) is a Gaussian distribution. The size distributions of atmospheric aerosols are often described using this distribution function, although the term also applies to gaseous pollutants.","math":[{"alttext":"F(y)","latex":"F(y)"},{"alttext":"F(y)=fgauss(ln y)","latex":"F(y)=f_{\\text{gauss}}(\\ln y)"},{"alttext":"fgauss(x)","latex":"f_{\\text{gauss}}(x)"}],"sources":["PAC, 1990, 62, 2167. 'Glossary of atmospheric chemistry terms (Recommendations 1990)' on page 2199 (https:\/\/doi.org\/10.1351\/pac199062112167)"]}],"links":{"html":"https:\/\/goldbook.iupac.org\/terms\/view\/L03614\/html","json":"https:\/\/goldbook.iupac.org\/terms\/view\/L03614\/json","xml":"https:\/\/goldbook.iupac.org\/terms\/view\/L03614\/xml","plain":"https:\/\/goldbook.iupac.org\/terms\/view\/L03614\/plain","pdf":"https:\/\/goldbook.iupac.org\/terms\/view\/L03614\/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":"2023-06-01T19:15:30+00:00"}}