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Chemistry LibreTexts

Dynamic Light Scattering

  • Page ID
    334
  • specklePattern.jpg
    Figure 2. Exponential decay of the correlation function.

    The correlation function for a system experiencing Brownian motion \(G(t)\) decays exponentially with decay constant \(\Gamma\).

    \[G(t)=e^{-\Gamma t}\]

    \(\Gamma\) is related to the diffusivity of the particle by

    \[\Gamma=-Dq^{^{2}} \]

    where

    \[q=\frac{4\pi n }{\lambda}\sin(\dfrac{\Theta }{2})\]

    References

    1. Dynamic Light Scattering Edited by Robert Pecora 1985. Plenum Press New York
    2. Foundations of Colloid Science Written by Robert J. Hunter 1987 Clarendon Press Oxford
    3. J.W Goodman, Some Fundamental Properties of Speckle, JOSA, Vol. 66, Issue 11, pp. 1145-1150 (1976)

    Contributors

    • Ben Nail (University of California Davis Chemistry Department)