## 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 language | English (US) |
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Pages (from-to) | 717-722 |

Number of pages | 6 |

Journal | EPL |

Volume | 3 |

Issue number | 6 |

DOIs | |

State | Published - Mar 15 1987 |

## All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)