Light scattering

Dynamic light scattering


http://en.wikipedia.org/wiki/Dynamic_light_scattering

Dynamic light scattering (also known as Photon Correlation Spectroscopy or Quasi-Elastic Light Scattering) is a technique, which  is used to study solutions of macromolecules.

For instancE, it can be used to determine the size distribution profile of small particles in suspension or polymers in solution. It can also be used to probe the behavior of complex fluids such as concentrated polymer solutions.


In the experiment the intensity autocorrelation function 

g(q,t) = <I(q,t0) I(q,t0 +t)>/<I(q,t0)2>

is determined.

Simplest approach to obtain hydrodynamic radius from the data: The correlation function is assumed to have a shape of single exponential decay

g(q,t) = exp(-Gt),

where t is decay rate.

Here G is related to the diffusion coefficient D as G = q2 D.

The length of the scattering vector may be written as

q = 4π/λ sin(θ) no,

where no is the refractive index of the sample.

The diffusion coefficient D is used to determine the hudrodynamic radius by means of Stokes equation assuming that the particles in the solution are spherical.

Static light scattering

http://en.wikipedia.org/wiki/Static_light_scattering

For static light scattering experiments, monochromatic laser light is launched in a solution containing the macromolecules. One or many detectors are used to measure the scattering intensity at one or many angles.

Static light scattering is used e.g. to determine the weight average molecular weight Mw of a macromolecule like a polymer or a protein from intensity I(0).

Measurement of the scattering intensity at many angles allows e.g. calculation of the radius of gyration Rg for a dilute solution of macromolecules. Data is analysed like in small angle x-ray scattering.

In order to measure the average molecular weight directly, without calibration, from the light scattering intensity, the laser intensity, the quantum efficiency of the detector and the full scattering volume and solid angle of the detector needs to be know. Another method is to use a calibration sample (a strong, known scatterer like toluene).


Chemistry department, HU

An argon laser (λ = 488 nm) could also be used.
Commercial apparatus http://www.bic.com/Light_Scattering_overview.html?submenuheader=4



X-ray Photon Correlation Spectroscopy

There is also x-rays based method X-ray Photon Correlation Spectroscopy XPCS. 

A few references: http://sinhagroup.ucsd.edu/Research_XPCS.htm),

Beam lines:

http://www.esrf.eu/UsersAndScience/Experiments/SoftMatter/ID10A

http://8id.xor.aps.anl.gov/UserInfo/Analysis/

Neutrons (http://www.ill.eu/?id=11552, http://dirac.cnrs-orleans.fr/~kneller/HERCULES/hercules2004.pdf)

References

Pouzot et al. Structure Factor and Elasticity of a Heat-Set Globular Protein Gel. Macromolecules, 2004, 37 (2), pp 614–620
http://pubs.acs.org/doi/abs/10.1021/ma035117x

LAUGER J, GRONSKI .  A MELT RHEOMETER WITH INTEGRATED SMALL-ANGLE LIGHT-SCATTERING.
RHEOLOGICA ACTA   Volume: 34   Issue: 1   Pages: 70-79   Published: JAN-FEB 1995

LAUGER J, GRONSKI W. A MELT RHEOMETER WITH INTEGRATED SMALL-ANGLE LIGHT-SCATTERING.
RHEOLOGICA ACTA   Volume: 34   Issue: 1   Pages: 70-79   Published: JAN-FEB 1995

Panine P, Gradzielski M, Narayanan T.  Combined rheometry and small-angle x-ray scattering.
REVIEW OF SCIENTIFIC INSTRUMENTS   Volume: 74   Issue: 4   Pages: 2451-2455   Published: APR 2003

T. Thurn-Albrecht et al. (Phys. Rev. E 68, 031407 (2003)) used also silica particles (glycerol) in their XPCS study.

 Busch S, Jensen TH, Chushkin Y, et al. Dynamics in shear flow studied by X-ray Photon Correlation Spectroscopy. EUROPEAN PHYSICAL JOURNAL E  26(1-2),  55-62, MAY 2008

S. Srivastava et al. Complex dynamics in polymer nanocomposites. PHYSICAL REVIEW E 79, 021408, 2009