SANS: Theories

Debye function

Summary

Description

This theory accounts for the small angle neutron scattering from melts of ideal Gaussian chains. It is intended to simultaneously fit quiescent scattering data for monodisperse linear polymers, for several molecular weights. The theory uses a set of molecular parameters which can be obtained from the literature, or can be fitted to data if unavailable elsewhere. For full details of the background theory see [1]; for an example of its application see [2]; for details about the effect of non-ideal mixing, see [3].

References

[1]

J. S. Higgins and H. Benoît. Polymers and neutron scattering. Oxford series on neutron scattering in condensed matter. Clarendon Press, 1994. ISBN 9780198510031.

[2]

R. S. Graham, J. Bent, L. R. Hutchings, R. W. Richards, D. J. Groves, J. Embery, T. M. Nicholson, T. C. B. McLeish, A. E. Likhtman, O. G. Harlen, D. J. Read, T. Gough, R. Spares, P. D. Coates, and I. Grillo. Measuring and predicting the dynamics of linear monodisperse entangled polymers in rapid flow through an abrupt contraction. a small angle neutron scattering study. Macromolecules, 39(7):2700–2709, apr 2006. doi:10.1021/ma052357z.

[3]

P. G. de Gennes. Scaling Concepts in Polymer Physics. Cornell University Press, 1979. ISBN 9780801412035.