kb/data/en.wikipedia.org/wiki/Dynamic_light_scattering-1.md

4.7 KiB
Raw Blame History

title chunk source category tags date_saved instance
Dynamic light scattering 2/4 https://en.wikipedia.org/wiki/Dynamic_light_scattering reference science, encyclopedia 2026-05-05T10:04:18.544311+00:00 kb-cron

== Multiple scattering == Dynamic light scattering provides insight into the dynamic properties of soft materials by measuring single scattering events, meaning that each detected photon has been scattered by the sample exactly once. In principle, the DLS measurements can be performed with the detector positioned at any angle. The choice of the best angle depends on the sample properties, such as turbidity and particle size. Back scattering detection (e.g., 173° or 175°) is particularly interesting for turbid and highly concentrated samples, which contain large particles. Side scattering detection (90°) is recommended for weakly scattering samples, including small particles and transparent samples. Finally, forward scattering detection (e.g., 13° or 15°) is suitable for detection of samples containing small particles with few large particles. Some DLS instruments in the market also allow automatic angle selection based on a continuous transmittance measurement. At the lower end of the turbidity range, the Cavity Amplified Scattering Spectroscopy method makes use of an integrating cavity to elongate photon paths through quasi non-scattering samples. As opposed to conventional DLS instruments, this method is angle independent as it probes samples isotropically from all directions. Even though the DLS measurement using a single-angle detection has been the most diffuse technique, the application to many systems of scientific and industrial relevance has been limited due to often-encountered multiple scattering, wherein photons are scattered multiple times by the sample before being detected. Accurate interpretation becomes exceedingly difficult for systems with non-negligible contributions from multiple scattering. Especially for larger particles and those with high refractive index contrast, this limits the technique to very low particle concentrations, and a large variety of systems are, therefore, excluded from investigations with dynamic light scattering. However, as shown by Schaetzel, it is possible to suppress multiple scattering in dynamic light scattering experiments via a cross-correlation approach. The general idea is to isolate singly scattered light and suppress undesired contributions from multiple scattering in a dynamic light scattering experiment. Different implementations of cross-correlation light scattering have been developed and applied. Currently, the most widely used scheme is the so-called 3D-dynamic light scattering method. The same method can also be used to correct static light scattering data for multiple scattering contributions. Alternatively, in the limit of strong multiple scattering, a variant of dynamic light scattering called diffusing-wave spectroscopy can be applied.

== Data analysis ==

=== Introduction === Once the autocorrelation data have been generated, different mathematical approaches can be employed to obtain 'information' from it. Analysis of the scattering is facilitated when particles do not interact through collisions or electrostatic forces between ions. Particle-particle collisions can be suppressed by dilution, and charge effects are reduced by the use of salts to collapse the electrical double layer. The simplest approach is to treat the first-order autocorrelation function as a single exponential decay. This is appropriate for a monodisperse population.

      g
      
        1
      
    
    (
    q
    ;
    τ
    )
    =
    exp
    
    (
    
    Γ
    τ
    )
    
  

{\displaystyle \ g^{1}(q;\tau )=\exp(-\Gamma \tau )\,}

where Γ is the decay rate. The translational diffusion coefficient Dt may be derived at a single angle or at a range of angles depending on the wave vector q.

    Γ
    =
    
      q
      
        2
      
    
    
      D
      
        t
      
    
    
  

{\displaystyle \ \Gamma =q^{2}D_{t}\,}

with

    q
    =
    
      
        
          4
          π
          
            n
            
              0
            
          
        
        λ
      
    
    sin
    
    
      (
      
        
          θ
          2
        
      
      )
    
  

{\displaystyle \ q={\frac {4\pi n_{0}}{\lambda }}\sin \left({\frac {\theta }{2}}\right)}