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| The '''hydrodynamic radius''' of a [[macromolecule]] or [[colloid]] particle has two meanings. Some books use it as a synonym for the [[Stokes radius]]. | | The title of the writer is std testing [http://youulike.com/blogs/114396/390615/items-to-know-when-confronted-wi at home std test] home Figures. One of [http://Www.Eddysadventurestore.nl/nieuws/eliminate-candida-one-these-tips over the counter std test] issues she enjoys most is to study comics and she'll be starting something else along with it. Her spouse and her live in at home [http://rhrealitycheck.org/article/2013/02/22/trich-the-most-common-sexually-transmitted-infection-you-may-never-have-heard-of/ std testing] Puerto Rico but she will have to transfer one working day or an additional. Since she was 18 she's been working as [http://www.ddhelicam.com/board_Kurr59/59568 home std test] a meter reader but she's usually wanted her personal company. |
| <ref > {{cite book | author = Gert R. Strobl
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| | title= The Physics of Polymers Concepts for Understanding Their Structures and Behavior| publisher=Springer-Verlag | year=1996 | isbn = 3-540-60768-4 }} Section 6.4 page 290. </ref>
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| Others books define a theoretical hydrodynamic radius <math>R_{\rm hyd}</math>. They consider the macromolecule or colloid particle to be a collection of <math>N</math> subparticles. This is done most commonly for [[polymer]]s; the subparticles would then be the units of the polymer. <math>R_{\rm hyd}</math> is defined by
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| :<math>
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| \frac{1}{R_{\rm hyd}} \ \stackrel{\mathrm{def}}{=}\ \frac{1}{N^{2}} \left\langle \sum_{i \neq j} \frac{1}{r_{ij}} \right\rangle
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| </math>
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| where <math>r_{ij}</math> is the distance between subparticles <math>i</math> and <math>j</math>, and where the angular brackets <math>\langle \ldots \rangle</math> represent an [[ensemble average]].
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| <ref > {{cite book | author = J. Des Cloizeaux and G. Jannink
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| | title= Polymers in Solution Their Modelling and Structure | publisher=Clarendon Press | year=1990 | isbn = 0-19-852036-0 }} Chapter 10, Section 7.4, pages 415-417. </ref> The theoretical hydrodynamic radius <math>R_{\rm hyd}</math> was originally an estimate by [[John Gamble Kirkwood]] of the [[Stokes radius]] of a polymer.
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| The theoretical hydrodynamic radius <math>R_{\rm hyd}</math> arises in the study of the dynamic properties of polymers moving in a [[solvent]]. It is often similar in magnitude to the [[radius of gyration]].
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| ==Notes==
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| <references/>
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| ==References==
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| Grosberg AY and Khokhlov AR. (1994) ''Statistical Physics of Macromolecules'' (translated by Atanov YA), AIP Press. ISBN 1-56396-071-0
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| [[Category:Polymer physics]]
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Latest revision as of 11:49, 12 February 2014
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