Applicability of the Fractal FHH Equation

Sahouli, Bendida; Blacher, Silvia; Brouers, F.

doi:10.1021/la962119k

Cited by 72 publications

(38 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The fractal generalization of the FHH has been applied. Figure 3 shows the log-log plot of V /V m vs ln( p 0 / p) and Table 2 this means that the solid is strongly microporous with a nonnegligible mesoporosity (13).…”

Section: Table 1 Equations Obtained From Fit Of Experimental Data Witmentioning

confidence: 95%

See 1 more Smart Citation

Fractal Characterization of Wide Pore Range Catalysts: Application to Pd–Ag/SiO2 Xerogels

Blacher

Heinrichs

Sahouli

et al. 2000

Journal of Colloid and Interface Science

View full text Add to dashboard Cite

Section: Table 1 Equations Obtained From Fit Of Experimental Data Witmentioning

confidence: 95%

“…In the Pfeifer version of the FHH fractal theory (7), s is assumed to be equal to the theoretical value 3, i.e., a nonretarded van der Waals interaction between the surface and the adsorbate is assumed. Recently, the use of the concept of the standard isotherm to determine and adjust the value of the parameter s has been suggested (13).…”

Section: Methodsmentioning

confidence: 99%

Fractal Characterization of Wide Pore Range Catalysts: Application to Pd–Ag/SiO2 Xerogels

Blacher

Heinrichs

Sahouli

et al. 2000

Journal of Colloid and Interface Science

View full text Add to dashboard Cite

“…One of the simplest and most popular relationships for determining the surface fractal dimension (D s ) of a solid by using adsorption isotherm data is the Frenkel-Halsey-Hill equation (FHH) [37,38], which in logarithmic form can be expressed as follows:…”

Section: Fractal Analysismentioning

confidence: 99%

Fabrication and Fractality of Fe2O3-CeO2/ZSM-5 Composites for High-Temperature Desulfurization

Liu

Zhang

2017

Colloids and Interfaces

View full text Add to dashboard Cite

Fe 2 O 3 /ZSM-5 modified with Ce via citrate route (sol-gel approach) is applied for H 2 S removal in 500-700 • C temperature range. The sulfidation activity of Fe 2 O 3 /ZSM-5 is appreciably promoted by introduction of Ce plausibly attributed to the synergy of Fe 2 O 3 and CeO 2 . 5Fe5Ce/ZSM-5 performs the optimal desulfurization behavior at 600 • C with sulfur capacity of 1020 µmol S/g, and the sulfidation process conforms to non-catalytic gas-solid redox reaction mechanism, which yields FeS 2 , Ce 2 S 3 , and S. Fractal analysis is introduced to evaluate the surface porous structure and the adsorption capacity of the sorbent. Its surface fractal dimension is estimated by using Frenkel-Halsey-Hill (FHH) model. It considerably increases after sulfidation plausibly attributed to the formation of a few heterogeneous sulfides or elemental sulfur, which block or cover the surface pore structures of sorbents.

show abstract

“…For example, the IV-type adsorption-desorption isotherm in the BDDT classification suggests that the adsorption occurs by the monolayer-multilayer mechanism at low and medium relative pressures and by the capillary condensation at high relative pressures (Sahouli et al 1997). Pfeifer et al extended the classic Frenkel-Halsey-Hill (FHH) theory of multilayer adsorption on a flat surface to fractal surface in the following form (Pfeifer et al 1989a,b):…”

Section: Fractal Isotherm Equationmentioning

confidence: 99%

Fractal analysis in particle dissolution: a review

Bao

Long

et al. 2014

Reviews in Chemical Engineering

View full text Add to dashboard Cite

Abstract:Fractal is a geometric language to describe the objects, the systems, and the phenomenon spatially and temporally. This paper reviews the literature on fractal models developed to describe the dissolution of particles. Dissolution, the process by which a solid forms a homogeneous mixture with a solution, is the behavior of a population of particles rather than a single one in most of the cases. The fractal models developed for the particle population are reviewed on the basis of two key particle surface properties, namely, the surface fractal nature and the chemical reactivity of particle surfaces. In terms of the surface fractal nature, fractals have been used to describe the change in the superficial roughness of particles, surface area-particle size relation, and particle size distribution (PSD). In terms of the reactive fractal dimensions, the models that describe the dissolution process have been developed to obtain the empirical noninteger exponent, the reactive fractal dimension that can dictate the chemical reactivity of a solid surface. The comparison between the surface fractal dimension and the reactive fractal dimension provides the dissolution mechanisms in many aspects of surface morphology. Further research is necessary to modify the current models to coincide with the real industrial processes and production and to develop the specific models for a better understanding of many processes involving the dissolution of particles encountered in many areas, including pharmaceutical and chemical applications and hydrometallurgy.

show abstract

Applicability of the Fractal FHH Equation

Cited by 72 publications

References 35 publications

Fractal Characterization of Wide Pore Range Catalysts: Application to Pd–Ag/SiO2 Xerogels

Fractal Characterization of Wide Pore Range Catalysts: Application to Pd–Ag/SiO2 Xerogels

Fabrication and Fractality of Fe2O3-CeO2/ZSM-5 Composites for High-Temperature Desulfurization

Fractal analysis in particle dissolution: a review

Contact Info

Product

Resources

About