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Updated: Aug 7, 2025

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Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
Published on: January 3, 2016
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Size dependence of second-harmonic scattering from nanoparticles: Disentangling surface and electrostatic
Bingxin Chu1, Arianna Marchioro1, Sylvie Roke1
1Laboratory for Fundamental BioPhotonics (LBP), Institute of Bioengineering (IBI), and Institute of Materials Science (IMX), School of Engineering (STI), École polytechnique fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
The Journal of Chemical Physics
|March 8, 2023
Summary
Angle-resolved second-harmonic scattering (AR-SHS) reveals nano-particle interface properties. Particle size and surface characteristics significantly influence AR-SHS patterns, impacting electrical double layer studies.
Area of Science:
- Nanotechnology
- Surface Science
- Physical Chemistry
Background:
- Angle-resolved second-harmonic scattering (AR-SHS) is an optical technique for studying unlabeled nano-particle interfaces in solution.
- AR-SHS signals are modulated by interference between surface and bulk nonlinear contributions, influenced by the electrical double layer.
- Previous work established the mathematical framework for AR-SHS, including ionic strength effects on probing depth.
Purpose of the Study:
- To investigate the influence of particle size on surface and electrostatic form factors in nonlinear scattering.
- To determine the relative contributions of these factors to AR-SHS patterns.
- To experimentally validate the model using silica particles in varying ionic strength solutions.
Main Methods:
- Calculation of size-dependent surface and electrostatic geometric form factors for nonlinear scattering.
- Analysis of the relative contributions of these factors to AR-SHS patterns across different particle sizes.
- Experimental validation using SiO2 nanoparticles in NaCl and NaOH solutions with varied ionic strengths.
Main Results:
- The electrostatic term dominates forward scattering for smaller particles; its relative contribution decreases with increasing particle size.
- Particle surface properties, including surface potential and second-order surface susceptibility, significantly weight the total AR-SHS signal.
- In NaOH solutions, enhanced surface susceptibility for larger particles can overcome electrostatic screening effects at high ionic strengths.
Conclusions:
- This study enhances the understanding of the relationship between AR-SHS patterns and nano-particle surface properties.
- The findings provide a predictive framework for AR-SHS trends across a wide range of particle sizes.
- AR-SHS is confirmed as a valuable tool for characterizing interfacial phenomena in colloidal systems.

