Transition from fractional to classical Stokes–Einstein behaviour in simple fluids

An optical technique for tracking single particles has been used to evaluate the particle diameter at which diffusion transitions from molecular behaviour described by the fractional Stokes–Einstein relationship to particle behaviour described by the classical Stokes–Einstein relationship. The resul...

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Main Authors: Diego Coglitore, Stuart P. Edwardson, Peter Macko, Eann A. Patterson, Maurice Whelan
Format: Article
Language:English
Published: The Royal Society 2017-01-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.170507
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spelling doaj-994cb9b595db4290abf4ba4423e1f27e2020-11-25T04:02:08ZengThe Royal SocietyRoyal Society Open Science2054-57032017-01-0141210.1098/rsos.170507170507Transition from fractional to classical Stokes–Einstein behaviour in simple fluidsDiego CoglitoreStuart P. EdwardsonPeter MackoEann A. PattersonMaurice WhelanAn optical technique for tracking single particles has been used to evaluate the particle diameter at which diffusion transitions from molecular behaviour described by the fractional Stokes–Einstein relationship to particle behaviour described by the classical Stokes–Einstein relationship. The results confirm a prior prediction from molecular dynamic simulations that there is a particle size at which transition occurs and show it is inversely dependent on concentration and viscosity but independent of particle density. For concentrations in the range 5 × 10−3 to 5 × 10−6 mg ml−1 and viscosities from 0.8 to 150 mPa s, the transition was found to occur in the diameter range 150–300 nm.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.170507diffusionstokes–einstein diffusionfractional stokes–einstein equationsingle nanoparticle trackingnanoparticles
collection DOAJ
language English
format Article
sources DOAJ
author Diego Coglitore
Stuart P. Edwardson
Peter Macko
Eann A. Patterson
Maurice Whelan
spellingShingle Diego Coglitore
Stuart P. Edwardson
Peter Macko
Eann A. Patterson
Maurice Whelan
Transition from fractional to classical Stokes–Einstein behaviour in simple fluids
Royal Society Open Science
diffusion
stokes–einstein diffusion
fractional stokes–einstein equation
single nanoparticle tracking
nanoparticles
author_facet Diego Coglitore
Stuart P. Edwardson
Peter Macko
Eann A. Patterson
Maurice Whelan
author_sort Diego Coglitore
title Transition from fractional to classical Stokes–Einstein behaviour in simple fluids
title_short Transition from fractional to classical Stokes–Einstein behaviour in simple fluids
title_full Transition from fractional to classical Stokes–Einstein behaviour in simple fluids
title_fullStr Transition from fractional to classical Stokes–Einstein behaviour in simple fluids
title_full_unstemmed Transition from fractional to classical Stokes–Einstein behaviour in simple fluids
title_sort transition from fractional to classical stokes–einstein behaviour in simple fluids
publisher The Royal Society
series Royal Society Open Science
issn 2054-5703
publishDate 2017-01-01
description An optical technique for tracking single particles has been used to evaluate the particle diameter at which diffusion transitions from molecular behaviour described by the fractional Stokes–Einstein relationship to particle behaviour described by the classical Stokes–Einstein relationship. The results confirm a prior prediction from molecular dynamic simulations that there is a particle size at which transition occurs and show it is inversely dependent on concentration and viscosity but independent of particle density. For concentrations in the range 5 × 10−3 to 5 × 10−6 mg ml−1 and viscosities from 0.8 to 150 mPa s, the transition was found to occur in the diameter range 150–300 nm.
topic diffusion
stokes–einstein diffusion
fractional stokes–einstein equation
single nanoparticle tracking
nanoparticles
url https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.170507
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