The problem of the normalization of the micropore-size distribution (MSD) based on the gamma-type function is presented. Three cases of the integration range (widely known in the literature) of MSD, characterizing the geometric heterogeneity of a solid, are considered (val(≡B, E 0 , and/or x)) i.e.,
The Comparative Analysis of the Properties of Two Micropore-Size Distribution Functions: The Pfeifer–Avnir Function and the Gamma-Type One
✍ Scribed by Piotr A. Gauden; Artur P. Terzyk; Gerhard Rychlicki; Piotr Kowalczyk
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 76 KB
- Volume
- 244
- Category
- Article
- ISSN
- 0021-9797
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✦ Synopsis
The comparative analysis of two micropore-size distribution functions (MSD), i.e., the gamma-type function and the fractal (proposed by Pfeifer and Avnir) one are presented. Theoretical studies performed for different models of the geometrical heterogeneity of microporous solids (characterized by the various intervals of the values of the slit-like half-width and the pore fractal dimension) show that the structural parameters of these MSDs are correlated. In other words, the gamma-type function can be simplified to the Pfeifer and Avnir one under some rigorously mathematical assumptions.
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