{"term":{"id":"07106","doi":"10.1351\/goldbook.ST07106","code":"ST07106","status":"current","longtitle":"IUPAC Gold Book - spin projection","title":"spin projection","version":"2.3.3","lastupdated":"2014-02-24","definitions":[{"id":"1","text":"A component, M S, of the angular spin moment S along an arbitrary axis (usually chosen as the z-direction). M S can take the values between -S and S: -S, -S + 1,..., S- 1, S. The term is also used to denote an operation (spin-symmetry projection) allowing one to eliminate spin contamination in the cases where wavefunctions are not eigenfunctions of the operator S 2.","links":[{"title":"spin contamination","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/ST07103"}],"math":[{"alttext":"M S","latex":"M_{S}"},{"alttext":"S","latex":"S"},{"alttext":"M S","latex":"M_{S}"},{"type":"symbol","alttext":"-S","latex":"-S"},{"alttext":"S","latex":"S"},{"alttext":"-S","latex":"-S"},{"type":"math","alttext":"-S + 1","latex":"-S+1"},{"alttext":"S- 1","latex":"S- 1"},{"alttext":"S","latex":"S"},{"alttext":"S 2","latex":"S^{2}"}],"sources":["PAC, 1999, 71, 1919. 'Glossary of terms used in theoretical organic chemistry' on page 1963 (https:\/\/doi.org\/10.1351\/pac199971101919)"]}],"links":{"html":"https:\/\/goldbook.iupac.org\/terms\/view\/ST07106\/html","json":"https:\/\/goldbook.iupac.org\/terms\/view\/ST07106\/json","xml":"https:\/\/goldbook.iupac.org\/terms\/view\/ST07106\/xml","plain":"https:\/\/goldbook.iupac.org\/terms\/view\/ST07106\/plain","pdf":"https:\/\/goldbook.iupac.org\/terms\/view\/ST07106\/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":"2023-06-05T11:16:49+00:00"}}