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A Method for Interpreting Small Angle Neutron Scattering Data from Quasi-Spherical Objects

  • T.M. Sabine (a1), W.K. Bertram (a1) and L.P. Aldridge (a1)

Abstract

Small angle scattering data are traditionally interpreted in terms of scattering patterns at the Porod and the Guinier limits. It is difficult to fit the entire scattering pattern to account for scattering from spheres because Rayleigh's formula contains oscillatory terms which are smeared out in practice by perturbations in the sizes of the scattering agents.

It is proposed that a Lorenztian type function be used instead of Rayleigh's function. By using this equation it is possible to fit the entire small angle scattering pattern and obtain the correct forms of the Guinier and Porod limits.

The effects of correlation and multiple scattering are also explored.

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References

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1 Aldridge, L.P., Bertram, W.K., Sabine, T.M., J, Bukowski , Young, J.F., and Heenan, R.K., Mater. Res. Proc. (This volume).
2 Guinier, A. and Fournet, G., Small-angle Scattering of X-rays (John Wiley and Sons, New York, 1955).
3 Danielson, W.E., Shenfil, L., and DuMond, J.W.M., J Appl. Phys. 23, 860 (1952).
4 Debye, P., Anderson, H.R., and Brumberger, H., J. Appl. Phys. 28, 679 (1957).
5 Ashroft, N.W. and Lekner, J., Phys. Rev. 145, 83 (1966).
6 Eichhorn, F., (Private communication).
7 Sabine, T.M., in International Tables for Crystallography, Vol C, page 530 (Kluwer Academic Publishers Dordrecht 1991).
8 Aldridge, L.P., Bertram, W.K., Sabine, T., Eichhorn, F., and Hempel, A., Poster presented at the BENSC users meeting, Hahn-Meitner Institut, Berlin, Germany, 10 Nov (1994).

A Method for Interpreting Small Angle Neutron Scattering Data from Quasi-Spherical Objects

  • T.M. Sabine (a1), W.K. Bertram (a1) and L.P. Aldridge (a1)

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