Elsevier

Physica B+C

Volume 136, Issues 1–3, January–February 1986, Pages 285-290
Physica B+C

Neutron scattering from fractals

https://doi.org/10.1016/S0378-4363(86)80075-4Get rights and content

The scattering formalism for fractal structures is presented. Volume fractals are exemplified by silica particle clusters formed either from colloidal suspensions or by flame hydrolysis. The determination of the fractional dimensionality through scattering experiments is reviewed, and recent small-angle neutron scattering studies of the variaion with aggregation rate are presented. These results allow a very detailed comparison to be made with the theoretical scattering curves. Preliminary incoherent inelastic data on the low-frequency dynamics of hydroxylated silica particle aggregates show a clear deviation from a Debye spectrum and give the first experimental estimates for the spectral dimensionality.

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    The type of radiation used is of secondary importance to this feature. X-Rays [20,65,66], neutrons [67,68] and light [45,69–75] have all been used in the characterisation of colloidal particles and in particular of fractal aggregates. Of these techniques, light scattering is fast, easy and inexpensive.

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