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Diffusion Coefficients of Coated Plasmonic Nanoparticles in Viscous Environment
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DOI：10.1002/smll.202404389.png)
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Abstract
En 中文
The Stokes-Einstein relationship (SER) is not valid anymore in polymeric solutions for nanoparticles. It is thus important to characterize their diffusion properties to get a finer understanding of their behavior and to better tune their attributes for biomedical applications. The diffusion of gold and silver nanoparticles with citrate, hyaluronic acid, methyl-polyethylene glycol, and antibody-polyethylene glycol coatings is studied in hyaluronic-based viscous solutions. The diffusion coefficient D is estimated from the Brownian motion thanks to a cost-effective side-illumination device. It is determined that the nanoparticles (hydrodynamic radius rh: 30-135 nm) diffuse up to 4-5 times faster than expected using the SER with a macroscopic viscosity from 1 to 30 mPas. It is shown that the adapted Huggins equation is a good model to describe the diffusion behavior of nanoparticles using an effective viscosity eta eff given by ln(eta eff eta s)=k(ReffE)a$ln\ ( {\frac{{{{\eta }_{eff}}}}{{{{\eta }_s}}}} ) = \ k{{( {\ \frac{{{{R}_{eff}}}}{E}} )}<^>a}$ where Reff-2=rh-2+Rh-2$R_{eff}<^>{ - 2} = r_h<^>{ - 2}\ + R_h<^>{ - 2}$ where E is the polymer correlation length, Rh the polymer hydrodynamic radius and eta s the solvent viscosity. The values of k and a are given and allow to obtain D with an error of 10-20%. The impact of chemical interactions on the model parameter values are also highlighted, especially due to electrostatic interactions between the polymer and the nanoparticles. The diffusion coefficient D of plasmonic nanoparticles of hydrodynamic radius 30-135 nm having different coatings are determined in polymeric solutions of macroscopic viscosities of 1-30 mPas using the cost-effective side illumination device. The Stokes-Einstein relationship is modified by a nanoscale effective viscosity described by the adapted Huggins model to obtain D with an error of 10-20%. image
Keywords:
adapted Huggins model
diffusion
effective viscosity
gold nanoparticles
silver nanoparticles
viscous environment
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