Evaluation of Fractal Dimension by Gas Adsorption
作者： S. Lowell , Joan E. Shields , Martin A. Thomas , Matthias Thommes
DOI: 10.1007/978-1-4020-2303-3_7
关键词: Porosimetry 、 Materials science 、 Small-angle X-ray scattering 、 Fractal 、 Fractal dimension 、 Surface finish 、 Surface (mathematics) 、 Scaling 、 Geometry 、 Scattering
摘要: The concepts of fractal geometry elaborated by Mandelbrot [1] can be applied successfully to the study solid surfaces. Fractal objects are self-similar, i.e., they look similar at all levels magnification. geometric topography (roughness) surface structure many solids characterized dimension, D. In case a Euclidean D is 2, however for an irregular (real) may vary between 2 and 3. magnitude depend on degree roughness and/or porosity. There exist several experimental methods determine e.g., small-angle X-ray (SAXS) neutron scattering measurements (SANS), adsorption techniques mercury porosimetry. All these search simple scaling power law type: Amount property ∝ resolution analysis [2], where dimension which relevant. instance related intensity scattered radiation, pore volume or monolayer capacity. change in here achieved changing angle, radius size adsorbate.
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