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Researchers experimentally validated the Faxén-Brenner theory for nanoscale particles near a fluid-wall interface. This confirms fluid dynamics predictions for particle diffusion at the nanoscale.

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Area of Science:

  • Colloidal physics
  • Nanoscale fluid dynamics
  • Statistical mechanics

Background:

  • The behavior of particles near interfaces is crucial in colloidal physics.
  • Faxén and Brenner's continuum mechanics solutions predict distance- and direction-dependent particle diffusivity.
  • Experimental validation for micron-sized particles exists, but nanoscale applicability is unclear.

Purpose of the Study:

  • To experimentally test the complete Faxén-Brenner solutions on the nanoscale.
  • To investigate nanoparticle diffusivity near a fluid-wall interface.
  • To bridge the gap between theoretical predictions and experimental evidence at the nanoscale.

Main Methods:

  • Developed a novel multiresolution instrument for simultaneous nanoscale tracking and interface localization.
  • Utilized high-resolution lifetime-gated 3D tracking of single nanoparticles.
  • Employed two-photon laser-scanning microscopy for precise nanoparticle-wall proximity measurements.

Main Results:

  • Successfully reproduced the predicted directional diffusivity divarication at the single-nanoparticle level.
  • Achieved experimental validation of the Faxén-Brenner theory down to approximately 65 nm.
  • Demonstrated agreement with theoretical predictions without adjustable parameters.

Conclusions:

  • The study provides the first direct experimental support for Faxén-Brenner solutions on the nanoscale.
  • Fluid dynamics principles governing particle diffusion are validated for nanoparticles near interfaces.
  • Future research should focus on the sub-100 nm regime, considering finite-temperature fluctuations and fluid molecularity.