{"term":{"id":"05411","doi":"10.1351\/goldbook.R05411","code":"R05411","status":"current","longtitle":"IUPAC Gold Book - rotational diffusion coefficient","title":"rotational diffusion coefficient","termversion":"2.3.3","lastupdated":"2014-02-24","definitions":[{"id":"1","text":"Defined by the equation: Dθ = tθ\/(∂(f(θ,Φ))\/∂θ).sinθ is the fraction of particles whose axes make an angle between θ and θ + d θ with the direction θ = 0, and have an azimuth between Φ and Φ + d Φ; t θ d Φ is the fraction of particles having an azimuth between Φ and Φ + d Φ whose axis passes from values θ in unit time. The axis whose rotational diffusion is considered has to be clearly indicated.","links":[{"title":"angle","type":"goldify","url":"https:\/\/dev.goldbook.iupac.org\/terms\/view\/A00346"},{"title":"rotational diffusion","type":"goldify","url":"https:\/\/dev.goldbook.iupac.org\/terms\/view\/R05410"}],"math":[{"alttext":"Dθ = tθ\/(∂(f(θ,Φ))\/∂θ).sinθ ","latex":"D_{\\theta }=\\frac{t_{\\theta }}{\\frac{\\partial (f(\\theta ,\\mathit{\\Phi }))}{\\partial \\theta }\\ \\sin\\,\\theta }"},{"alttext":"f(θ,Φ).sin θ.dθ.dΦ","latex":"f\\left(\\theta ,\\mathit{\\Phi }\\right)\\:\\sin \\,\\theta \\ \\text{d}\\theta \\ \\text{d}\\mathit{\\Phi }"},{"alttext":"θ","latex":"\\theta "},{"alttext":"θ + d θ","latex":"\\theta +\\mathrm{d}\\theta "},{"alttext":"θ = 0","latex":"\\theta =0"},{"alttext":"Φ","latex":"\\mathit{\\Phi}"},{"alttext":"Φ + d Φ","latex":"\\mathit{\\Phi} + \\text{d}\\mathit{\\Phi}"},{"alttext":"t θ d Φ","latex":"t_{\\theta }\\ \\mathrm{d}\\mathit{\\Phi }"},{"alttext":"Φ","latex":"\\mathit{\\Phi}"},{"alttext":"Φ + d Φ","latex":"\\mathit{\\Phi} + \\text{d}\\mathit{\\Phi}"},{"alttext":"<θ","latex":"<\\theta "},{"alttext":">θ","latex":">\\theta "}],"sources":["PAC, 1972, 31, 577. 'Manual of Symbols and Terminology for Physicochemical Quantities and Units, Appendix II: Definitions, Terminology and Symbols in Colloid and Surface Chemistry' on page 617 (https:\/\/doi.org\/10.1351\/pac197231040577)"]}],"links":{"html":"https:\/\/dev.goldbook.iupac.org\/terms\/view\/R05411\/html","json":"https:\/\/dev.goldbook.iupac.org\/terms\/view\/R05411\/json","xml":"https:\/\/dev.goldbook.iupac.org\/terms\/view\/R05411\/xml","plain":"https:\/\/dev.goldbook.iupac.org\/terms\/view\/R05411\/plain","pdf":"https:\/\/dev.goldbook.iupac.org\/terms\/view\/R05411\/pdf"},"citation":"Citation: 'rotational diffusion coefficient' in IUPAC Compendium of Chemical Terminology, 3rd ed. International Union of Pure and Applied Chemistry; 2006. Online version 3.0.1, 2019. 10.1351\/goldbook.R05411","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.","collection":"If you are interested in licensing the Gold Book for commercial use, please contact the IUPAC Executive Director at executivedirector@iupac.org .","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":"2024-08-13T15:11:28+00:00"}}