Rayleigh-Gans scattering from polydisperse colloidal suspensions

American Journal of Physics

Volumn 64, Issue 10, 1996, Pages 1298-1303

  Hobbie, E K ^a   Sung, Lipiin ^b  

^a UNIVERSITY OF WISCONSIN RIVER FALLS   (United States)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030500021     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18467     Document Type: Article

References (16)

1. See, for example, E. Sirota, H. Ou-Yang, S. Sinha, P. Chaikin, J. Axe, and Y. Fujii, "Complete phase diagram of a charged colloidal system: A synchrotron x-ray study" Phys. Rev. Lett. 62, 1524-1527 (1989); A. Cumming, P. Wiltzius, and F. Bates, "Nucleation and growth of monodisperse droplets in a binary-fluid system," ibid. 65, 863-866 (1990); S. B. Dierker, R. Pindak, R. M. Flemming, I. K. Robinson, and L. Berman, "X-ray photon correlation spectroscopy study of Brownian motion of gold colloids in glycerol," ibid. 75, 449-452 (1995).
2. See, for example, E. Sirota, H. Ou-Yang, S. Sinha, P. Chaikin, J. Axe, and Y. Fujii, "Complete phase diagram of a charged colloidal system: A synchrotron x-ray study" Phys. Rev. Lett. 62, 1524-1527 (1989); A. Cumming, P. Wiltzius, and F. Bates, "Nucleation and growth of monodisperse droplets in a binary-fluid system," ibid. 65, 863-866 (1990); S. B. Dierker, R. Pindak, R. M. Flemming, I. K. Robinson, and L. Berman, "X-ray photon correlation spectroscopy study of Brownian motion of gold colloids in glycerol," ibid. 75, 449-452 (1995).
3. See, for example, E. Sirota, H. Ou-Yang, S. Sinha, P. Chaikin, J. Axe, and Y. Fujii, "Complete phase diagram of a charged colloidal system: A synchrotron x-ray study" Phys. Rev. Lett. 62, 1524-1527 (1989); A. Cumming, P. Wiltzius, and F. Bates, "Nucleation and growth of monodisperse droplets in a binary-fluid system," ibid. 65, 863-866 (1990); S. B. Dierker, R. Pindak, R. M. Flemming, I. K. Robinson, and L. Berman, "X-ray photon correlation spectroscopy study of Brownian motion of gold colloids in glycerol," ibid. 75, 449-452 (1995).
4. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1957), pp. 86-89.
5. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), pp. 391-427; for a rigorous treatment based on Mie scattering see, for example, R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966), pp. 55-60.
6. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), pp. 391-427; for a rigorous treatment based on Mie scattering see, for example, R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966), pp. 55-60.
7. R. K. Hobbie, "A simplified treatment of the quantum-mechanical scattering problem using wave packets," Am. J. Phys. 30, 857-864 (1962).
8. 2 φ).
9. This derivation is a somewhat less terse version of the one found in L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1960), pp. 377-395.
10. T. Sato and C. C. Han, "Dynamics of concentration fluctuations in a polymer blend on both sides of the phase boundary," J. Chem. Phys. 88, 2057-2065 (1988). Identical arguments can be applied to neutron scattering. See, for example, E. K. Hobbie, G. Merkle, B. J. Bauer, and C. C. Han, "Slow dynamics of segregation in hydrogen-bonded polymer blends," Phys. Rev. E 52, 3256-3260 (1995).
11. T. Sato and C. C. Han, "Dynamics of concentration fluctuations in a polymer blend on both sides of the phase boundary," J. Chem. Phys. 88, 2057-2065 (1988). Identical arguments can be applied to neutron scattering. See, for example, E. K. Hobbie, G. Merkle, B. J. Bauer, and C. C. Han, "Slow dynamics of segregation in hydrogen-bonded polymer blends," Phys. Rev. E 52, 3256-3260 (1995).
12. For an excellent example of such a project, see R. M. Drake and J. E. Gordon, "Mie scattering," Am. J. Phys. 53, 955-962 (1985).
13. 0∈)kR/4≪1.
14. A. E. Bailey and D. S. Cannell, "Practical method for calculation of multiple light scattering," Phys. Rev. E. 50, 4853-4864 (1994); J. G. Shanks and J. V. Sengers, "Double scattering in critically opalescent fluids," Phys. Rev. A 38, 885-896 (1988).
15. A. E. Bailey and D. S. Cannell, "Practical method for calculation of multiple light scattering," Phys. Rev. E. 50, 4853-4864 (1994); J. G. Shanks and J. V. Sengers, "Double scattering in critically opalescent fluids," Phys. Rev. A 38, 885-896 (1988).
16. -4, volume-fraction PEG (20 000 molecular weight) ≈0.07, and NaCl concentration ≈0.015 mol/ℓ, in a solution of distilled de-ionized water. The NaCl was added to screen out any Coulomb interaction between spheres so that the positions of neighboring spheres are uncorrelated, and thus S(q)≈constant. Monodisperse latex colloids were obtained from polysciences. The PEG was added to increase the solution viscosity. Optical microscopy revealed some weak clustering (a small fraction of 2-3 particle aggregates), which may be due to the addition of the polymer. Over the q-range probed, however, such structure can be neglected, and the angular dependence of the scattering intensity can be assumed to arise entirely to the individual form factors. This assumption may be slightly less reasonable at lower scattering angles.