Scaling of the dynamic structure factor of an adsorbate on a fractal surface

P. Pfeifer, A. L. Stella, F. Toigo, Milton W. Cole

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Abstract

The possibility is suggested that quasi-elastic neutron scattering measurements can yield the spectral dimension characteristic of diffusion on a fractal surface. A scaling relation is derived which connects where is the fractal dimension, to the momentum and frequency dependences of the incoherent structure factor. An explicit theory of the line shape, non-Lorentzian in general, is given for the case of singly connected fractals. Experimental feasibility is indicated on the basis of approximate arguments. A brief discussion of measuring the adsorbate's coherent static structure factor by contrasting coherent elastic scattering is given.

Original languageEnglish (US)
Pages (from-to)717-722
Number of pages6
JournalEPL
Volume3
Issue number6
DOIs
StatePublished - Mar 15 1987

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Pfeifer, P., Stella, A. L., Toigo, F., & Cole, M. W. (1987). Scaling of the dynamic structure factor of an adsorbate on a fractal surface. EPL, 3(6), 717-722. https://doi.org/10.1209/0295-5075/3/6/011