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Journal ArticleDOI

Thermodynamics of Adsorption on Microporous Fractal Solids

TLDR
In this article, a new Dubinin-Astakhov equation based on the extension of the potential theory of adsorption on microporous fractal solids and corresponding thermodynamic functions were formulated and applied for description of the experimental data of adoration on a carbon carbon.
Abstract
A new adsorption isotherm equation based on the extension of the potential theory of adsorption on microporous fractal solids and corresponding thermodynamic functions were formulated and applied for description of the experimental data of adsorption on a microporous carbon. The comparison of the obtained results with the original Dubinin-Astakhov equation is presented. In this paper the dependence of thermodynamic functions (the differential molar enthalpy of adsorption ΔH and the differential molar entropy of adsorption ΔS) on the fractal dimension D are discussed, as well.

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Citations
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Journal ArticleDOI

The Normalization of the Micropore-Size Distribution Function in the Polanyi-Dubinin Type of Adsorption Isotherm Equations.

TL;DR: If adsorption proceeds by a micropore filling mechanism and the structural heterogeneity is described in the finite region (val(min), val(max)), for all cases of the possible values of the parameters of the MSD functions, the generated isotherms belong to the first class of the IUPAC classification.
Journal Article

Fractal geometry concept in physical adsorption on solids

TL;DR: In this paper, different experimental and theoretical methods of determining the fractal dimension (D) of solid adsorbents are reviewed, focusing on the methods of calculation for D based on the results of a single adsorption isotherm measurement.
Journal ArticleDOI

Pore morphological identification of hydrotalcite from nitrogen adsorption

TL;DR: The energy of nitrogen adsorption in a meso-porous hydrotalcite at 77 K demonstrates the fractality over wider range of pore sizes including meso and macro-pores.
Journal ArticleDOI

The Comparative Analysis of the Properties of Two Micropore-Size Distribution Functions: The Pfeifer–Avnir Function and the Gamma-Type One

TL;DR: In this paper, a comparative analysis of two micropore-size distribution functions (MSD), i.e., the gamma-type function and the fractal one, is presented.
Journal Article

Solving the Unstable Linear Fredholm Integral Equation of the First Kind by Means of a New Stochastic Algorithm

P. Kowalczyk
- 01 Jan 2002 - 
TL;DR: In this article, a new ad-sorption stochastic algorithm (called ASA) was proposed for solving the unstable linear Fredholm integral equation of the first kind, which was applied for the calculation of the pore size distribution of activated carbons from single adsorption isotherms assuming different forms of the kernel.
References
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Journal ArticleDOI

Chemistry in noninteger dimensions between two and three. I. Fractal theory of heterogeneous surfaces

TL;DR: Fractal dimension D as discussed by the authors is a global measure of surface irregularity, which labels an extremely heterogeneous surface by a value far from two, and it implies that any monolayer on such a surface resembles three-dimensional bulk rather than a two-dimensional film because the number of adsorption sites within distance l from any fixed site, grows as lD.
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Physical adsorption of gases

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Homogeneous and heterogeneous micropore structures in carbonaceous adsorbents

TL;DR: In this paper, it was shown that the adsorption properties of carbonaceous adsorbents can be approximated with great accuracy by a two-term equation of TVFM, with n = 2.
Journal ArticleDOI

An isotherm equation for adsorption on fractal surfaces of heterogeneous porous materials

David Avnir, +1 more
- 01 Nov 1989 - 
TL;DR: Determination d'une equation for le calcul des isothermes d'adsorption sur des surfaces fractales de materiaux poreux avec une certaine distribution de dimension des pores.
Journal ArticleDOI

Generalization of the theory of volume filling of micropores to nonhomogeneous microporous structures

TL;DR: In this article, it is shown that the most rational method for determining the mesopore specific surface area necessary for correcting the isotherm is the Dubinin-Kadlec γ F method identical to the t F method.
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