Study of Morphology of Reactive Dissolution Interface Using Fractal Geometry

Tromelin, Anne; Gnanou, Jean-Claude; Andrés, Camilo; Pourcelot, Y.; Chaillot, Bernard

doi:10.1021/js9690059x

Cited by 9 publications

(15 citation statements)

References 10 publications

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“…Besides the results concluded by Anvir , Farin and Avnir 1987, Avnir 1989, there are other investigations on the surface fractal dimension that are based on the relation between the BET surface area and the mean particle size , Farin and Avnir 1992, Fernández-Hervás et al 1996b, Tromelin et al 1996 Brought to you by | University of Queensland -UQ Library Authenticated Download Date | 12/7/15 7:57 AM 2001). Most of the materials obey Equation (14) and the D r values obtained were between 2 and 3.…”

Section: Monolayer Adsorption Based On the Particle Sizementioning

confidence: 99%

“…In practice, it is neither possible nor desirable to exert an adsorption experiment on a single adsorbent granule Kr BET surface area versus particle size of granulometric fractions of orthoboric acid powder (Tromelin et al 1996).…”

Section: Monolayer Adsorption Based On the Particle Sizementioning

confidence: 99%

“…In this case, one separates the particles into several fractions with a small size range and uses the mean radius to describe the particle size of a population of particles as a whole. One example is shown in Figure 5, taken from the work of Tromelin et al, who determined the surface fractal dimension D r of an orthoboric acid powder by the adsorption of krypton ( Tromelin et al 1996). The powder was ground and divided into five narrowly sieved fractions.…”

Section: Monolayer Adsorption Based On the Particle Sizementioning

confidence: 99%

“…On the one hand, R is the particle mean diameter for narrowly sieved fractions, and this case leads to the study of the kinetic order relating to Equation (30) (Tromelin et al 1996). A set of D R values could be obtained as a function of time due to the variation of the dissolution rate along with the elapsed time.…”

Section: Reactive Fractalsmentioning

confidence: 99%

“…Since R is changing along with reaction rate during the dissolving process, it is necessary to fix the kinetic parameter. Tromelin et al (1996Tromelin et al ( , 2001 selected the experimentally highest value of the dissolution rate for each granulometric fraction and calculated the D R value from the slope of a logarithm fitting of the highest dissolution rate value and particle radius. The result of Equation (29) reflects the common dissolution behavior of different particles, showing that the dissolution rate is not greatly affected by the size of the particles (Tromelin et al 1996).…”

Section: Reactive Fractalsmentioning

confidence: 99%

See 4 more Smart Citations

Fractal analysis in particle dissolution: a review

Bao

Long

et al. 2014

Reviews in Chemical Engineering

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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.

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Section: Monolayer Adsorption Based On the Particle Sizementioning

confidence: 99%

Section: Monolayer Adsorption Based On the Particle Sizementioning

confidence: 99%

Section: Monolayer Adsorption Based On the Particle Sizementioning

confidence: 99%

Section: Reactive Fractalsmentioning

confidence: 99%

Section: Reactive Fractalsmentioning

confidence: 99%

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Fractal analysis in particle dissolution: a review

Bao

Long

et al. 2014

Reviews in Chemical Engineering

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Fractal Aspects of Powder Flow and Densification

Mihranyan

Strömme

2007

Part & Part Syst Charact

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Powder flowability is affected by a number of particulate properties including particle size, surface area, and surface roughness. Surface irregularities play an important role in controlling powder flow properties. In the present work, a relationship was derived between the reactive fractal dimension -representing the fractallity of the part of the surface participating in particle-particle interactions during powder flow -and the initial increase in density of a powder bed during densification. The reactive and true textural fractal dimensions for a model system comprised of silicified microcrystalline cellulose particles were also experimentally obtained. The concept of the reactive fractal dimension was shown to be helpful for a comprehensive description of the powder densification process. It indicates how rapidly the active interparticulate area involved in particle-particle interactions grows with powder size reduction. It is suggested that the reactive fractal dimension can be used for describing powder flow behavior and to elucidate the sensitivity of powder flowability to particle size changes.

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Solid State Pharmaceuticals: Solving Complex Problems in Preformulation and Formulation

Hickey

Smyth

2010

Pharmaco-Complexity

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Study of Morphology of Reactive Dissolution Interface Using Fractal Geometry

Cited by 9 publications

References 10 publications

Fractal analysis in particle dissolution: a review

Fractal analysis in particle dissolution: a review

Fractal Aspects of Powder Flow and Densification

Solid State Pharmaceuticals: Solving Complex Problems in Preformulation and Formulation

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