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

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

Research output: Contribution to journalArticle

3 Citations (Scopus)

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

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fractals
scaling
elastic scattering
coherent scattering
line shape
neutron scattering
momentum

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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
Pfeifer, P. ; Stella, A. L. ; Toigo, F. ; Cole, Milton Walter. / Scaling of the dynamic structure factor of an adsorbate on a fractal surface. In: EPL. 1987 ; Vol. 3, No. 6. pp. 717-722.
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Pfeifer, P, Stella, AL, Toigo, F & Cole, MW 1987, 'Scaling of the dynamic structure factor of an adsorbate on a fractal surface', EPL, vol. 3, no. 6, pp. 717-722. https://doi.org/10.1209/0295-5075/3/6/011

Scaling of the dynamic structure factor of an adsorbate on a fractal surface. / Pfeifer, P.; Stella, A. L.; Toigo, F.; Cole, Milton Walter.

In: EPL, Vol. 3, No. 6, 15.03.1987, p. 717-722.

Research output: Contribution to journalArticle

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