Extension of Langmuir kinetics in dilute solutions to include lateral interactions according to regular solution theory and the Kiselev association model

Marczewski, Adam W.

doi:10.1016/j.jcis.2011.06.013

Cited by 15 publications

(13 citation statements)

References 62 publications

(135 reference statements)

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“…s) (half-log time plot) or concentration or adsorption versus s/(1 ? s) (compact time plot) which produces straight line for SO/PSO kinetics (Marczewski 2011). The initial rate in the reduced time co-ordinates for gIKL may be expressed as…”

Section: Generalized Integrated Langmuir Kinetic Equation (Gikl)mentioning

confidence: 99%

“…However, even systems that are quite well described by advanced models including lateral interactions and energetic heterogeneity effects, may be reasonably well fitted with IKL (Marczewski 2011). Moreover, it is well known, that many experimental systems follow quite well first order (FO/PFO) or second order kinetics (SO/PSO) (Plazinski et al 2009;Castillejos and Rodríguez-Ramos 2011).…”

Section: Mixed-order Kinetic Equationmentioning

confidence: 99%

“…(1) for adsorption conditions with initial zero coverage was presented (to avoid ambiguity it is called IKL, Integrated Kinetic Langmuir equation) (Marczewski 2010a, b). IKL was recently extended to include lateral interactions according to regular solution theory and the Kiselev association model as well as energetic heterogeneity (mRSK and LF-mRSK models) (Marczewski 2011). This model was also compared to the classic SRT model, corresponding to the same equilibrium isotherms but developed in opposition to the classic Langmuir kinetics (Ward and Findlay 1982;Zhdanov 2001;Rudzinski and Panczyk 2002a, b;Panczyk 2006;Plazinski et al 2009).…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, intraparticle diffusion (IDM) (Crank 1954) and pore diffusion (PDM) (McKay et al 1996) models describe systems where adsorbate diffusion is the main factor responsible for sorption kinetics (Plazinski et al 2009). While such models as LF-mRSK (Marczewski 2011), classic SRT (Rudzinski and Panczyk 2000;Plazinski et al 2009;Podkoscielny and Nieszporek 2011), SRT re-interpretations (Panczyk 2006;Rudzinski and Plazinski 2008) or modifications (Azizian and Bashiri 2008) offer superior level of system description by incorporating various effects, the number of parameters makes them much more susceptible to experimental deviations and may potentially lead to partly supported conclusions. Inappropriate (too narrow) data range may have even more profound effect on data analyses allowing in fact to fit ''reasonable well'' almost any kind of equation.…”

Section: Introductionmentioning

confidence: 99%

“…It is a well known effect, that very similar functions may have quite divergent derivatives and whereas rate profiles da/dt may be quite for various models, their integral counterparts, i.e. a(t) curves may seem vary much alike if observed over a limited data range (Marczewski 2010a(Marczewski , 2011) and the same is true for adsorption isotherms and corresponding adsorption energy distributions (Jaroniec and Madey 1988). Thus only the simpler equations (IKL, MOE, fractal-like MOE as well as IDM and PDM) are used here in kinetic data analysis.…”

Section: Introductionmentioning

confidence: 99%

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Adsorption and desorption kinetics of benzene derivatives on mesoporous carbons

2013

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Adsorption and desorption of benzoic and salicylic acids and phenol from a series of synthesized mesoporous carbons is measured and analyzed. Equilibrium adsorption isotherms are best described by the LangmuirFreundlich isotherm. Intraparticle diffusion and McKay's pore diffusion models, as well as mixed 1,2-order (MOE), integrated Langmuir kinetic equation (IKL), LangmuirFreundlich kinetic equation and recently derived fractallike MOE (f-MOE) and IKL models were compared and used to analyze adsorption kinetic data. New generalization of Langmuir kinetics (gIKL), MOE and f-MOE were used to describe desorption kinetics. Analysis of adsorption and desorption half-times shows simple relation to the size of carbon pores.

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Section: Generalized Integrated Langmuir Kinetic Equation (Gikl)mentioning

confidence: 99%

Section: Mixed-order Kinetic Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adsorption and desorption kinetics of benzene derivatives on mesoporous carbons

2013

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Heterogeneity of multiwalled carbon nanotubes based on adsorption of simple aromatic compounds from aqueous solutions

et al. 2014

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The surface heterogeneity of multiwalled carbon nanotubes (MWCNTs) is studied on the basis of adsorption isotherms from dilute aqueous phenol and dopamine solutions at various pH values. The generalized Langmuir-Freundlich (GLF) isotherm equation was applied to investigate the cooperative effect of the surface heterogeneity and the lateral interactions between the adsorbates. The theoretical isosteric heats of adsorption were obtained assuming that the heat of adsorption profile reveals both the energetic heterogeneity of the adsorption system and the strength of the interactions between the neighboring molecules. The adsorption energy distribution (AED) functions were calculated by using algorithm based on a regularization method. The great advantage of this method is that the regularization makes no assumption about the shape of the obtained energy distribution functions. Analysis of the isosteric heats of adsorption for MWCNTs showed that the influence of the surface heterogeneity is much stronger than the role of the lateral interactions. The most typical adsorption heat is 20-22 kJ/mol for both phenol and dopamine. After purification of nanotubes, heat value for phenol dropped to 16-17 kJ/mol. The range of the energy distribution is only slightly influenced by the surface chemistry of the nanotubes in the aqueous conditions.

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Revision of adsorption models of xyloglucan on microcrystalline cellulose

et al. 2016

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Interactions among cellulose, hemicellulose and pectins are important for plant cell wall assembly and properties and also for industrial applications of these polysaccharides. Therefore, binding of pectin and xyloglucan on microcrystalline cellulose was investigated in this experiment by adsorption isotherms, zeta potential and scanning electron microscopy (SEM). Analysis of three isotherm models (Langmuir, Freundlich and Fowler-Guggenheim isotherms) showed that the experimental adsorption isotherm was well described via the Fowler-Guggenheim model, which includes lateral interaction between the adsorbate. The adsorption isotherm and zeta potential measurement showed that at temperature 25°C only xyloglucan adsorbed on the microcrystalline cellulose. In case of xyloglucan on cellulose, the equilibrium was reached in about 3-4 h, and the kinetics of adsorption were well described by the multiexponential equation. Analysis of the model suggests that two steps can be distinguished: diffusion and reconformation in an adsorbed layer. No adsorption of pectin was observed in this study. SEM study showed that xyloglucan may prevent cellulose from aggregation.

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Extension of Langmuir kinetics in dilute solutions to include lateral interactions according to regular solution theory and the Kiselev association model

Cited by 15 publications

References 62 publications

Adsorption and desorption kinetics of benzene derivatives on mesoporous carbons

Adsorption and desorption kinetics of benzene derivatives on mesoporous carbons

Heterogeneity of multiwalled carbon nanotubes based on adsorption of simple aromatic compounds from aqueous solutions

Revision of adsorption models of xyloglucan on microcrystalline cellulose

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