Models for Type VI Adsorption Isotherms from a Statistical Mechanical Formulation

Yahia, Manel Ben; Torkia, Yosra Ben; Knani, Salah; Hachicha, M.A.; Khalfaoui, Mohamed; Lamine, Abdelmottaleb Ben

doi:10.1260/0263-6174.31.4.341

Cited by 59 publications

(26 citation statements)

References 17 publications

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“…The mathematical model developed by Yahia et al [41], is used for the fitting of the Type-VI adsorption isotherm. They inferred that there could be two possibilities to explain the shape of this curve: energetic and geometric/stereographic.…”

Section: Ben Yahia Modelmentioning

confidence: 99%

A Statistical Approach to Determine Optimal Models for IUPAC-Classified Adsorption Isotherms

et al. 2019

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Adsorption heat transformation (AHT) systems can play a major role in protecting our environment by decreasing the usage of fossil fuels and utilizing natural and alternative working fluids. The adsorption isotherm is the most important feature in characterizing an AHT system. There are eight types of International Union of Pure and Applied Chemistry (IUPAC) classified adsorption isotherms for different “adsorbent-adsorbate” pairs with numerous empirical or semi-empirical mathematical models to fit them. Researchers face difficulties in choosing the best isotherm model to describe their experimental findings as there are several models for a single type of adsorption isotherm. This study presents the optimal models for all eight types of isotherms employing several useful statistical approaches such as average error; confidence interval (CI), information criterion (ICs), and proportion tests using bootstrap sampling. Isotherm data of 13 working pairs (which include all eight types of IUPAC isotherms) for AHT applications are extracted from literature and fitted with appropriate models using two error functions. It was found that modified Brunauer–Emmet–Teller (BET) for Type-I(a) and Type-II; Tóth for Type-I(b); GAB for Type-III; Ng et al. model for Type-IV(a) and Type-IV(b); Sun and Chakraborty model for Type-V; and Yahia et al. model for Type-VI are the most appropriate as they ensure less information loss compared to other models. Moreover; the findings are affirmed using selection probability; overall; and pairwise proportion tests. The present findings are important in the rigorous analysis of isotherm data.

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Section: Ben Yahia Modelmentioning

confidence: 99%

A Statistical Approach to Determine Optimal Models for IUPAC-Classified Adsorption Isotherms

et al. 2019

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“…Notably, in Figure 6C, the CV curve of the 5 wt% Y‐rGO shows the largest closed area compared to the 3 and 10 wt% Y‐rGO composite and pristine Y 2 O 3 NPs suggesting better electrochemical property in the potential window of −0.6 to 0.8 V. The high charge transfer may be due to the good reversible faradaic processes induced by the storage of charges by Y 2 O 3 NPs within the two‐dimensional spacing of rGO sheets and facilitates sufficient redox reactions. Further, the symmetrical redox peaks found reveal the good reversible faradaic processes 36,37 . However, other Y‐rGO systems show regular shapes with a small redox area, also indicate the capacitance nature of Y‐rGO composites with the less efficient charge transfer process.…”

Section: Resultsmentioning

confidence: 87%

“…Further, the symmetrical redox peaks found reveal the good reversible faradaic processes. 36,37 However, other Y-rGO systems show regular shapes with a small redox area, also indicate the capacitance nature of Y-rGO composites with the less efficient charge transfer process. The quasi rectangular CV curves obtained while increasing the scan rate and the deformation in the CV are attributed to a conjunction influence of electric double-layer (hybrid) capacitances.…”

Section: Surface Morphology and Edx Analysismentioning

confidence: 99%

Rare earth metal oxide‐doped reduced graphene‐oxide nanocomposite as binder‐free hybrid electrode material for supercapacitor application

Muthuselvi¹,

Jeyasubramanian²,

Hikku

et al. 2021

Int J Energy Res

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In this study, rare earth metal-oxide (yttrium oxide nanoparticles, Y 2 O 3 NPs) doped reduced graphene oxide nanosheets (rGONSs) nanocomposites (Y-rGO) were prepared and applied as hybrid electrode materials to evaluate the supercapacitor performances. For comparative analysis, various ratios of Y 2 O 3 NPs doped rGONSs nanocomposites were prepared by dispersing different amounts (3,5, and 10 wt%) of Y 2 O 3 NPs in the aqueous rGONSs dispersion under facile ultrasonication process. As prepared Y-rGO nanocomposites were characterized towards its physicochemical and electrochemical properties using powder X-ray diffraction, Fourier-transform infrared spectroscopy, field-emission scanning electron microscopy, X-ray photoelectron spectroscopy, and electrochemical analysis such as cyclic voltammetry (CV), electrochemical impedance spectroscopy (EIS) and galvanostatic charge-discharge (GCD) analysis. Electrochemical studies reveal that 5 wt% Y-rGO displays improved supercapacitor performance with a high specific capacitance of 190 Fg −1 at 10 mVs −1 and also exhibits excellent cyclic retention of 88% due to the intercalation of rGO and less contact resistance facilitated by Y 2 O 3 NPs when compared with 3 wt% Y-rGO and 10 wt% Y-rGO nanocomposites. Further, 5 wt% Y-rGO display a very low charge-transfer resistance of 0.001 Ω, suggesting its commercial viability for energy storage devices.

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“…The previous studies were focused on the characterization of adsorption based on the type of isotherm. Some researchers defined separate mathematical models for each isotherm type (Yahia et al, 2013 ). However, many of the studies focused on the generalization of similar types of isotherms (Khalfaoui et al, 2003 ; Chakraborty and Sun, 2014 ).…”

Section: Introductionmentioning

confidence: 99%

A Universal Mathematical Methodology in Characterization of Materials for Tailored Design of Porous Surfaces

et al. 2021

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Understanding adsorption phenomena is essential to optimize and customize the energy transformation in numerous industrial and environmental processes. The complex and heterogeneous structure of the adsorbent surface and the distinct interaction of adsorbent-adsorbate pairs are attributed to the diverse response of adsorption phenomena, measured by the state diagrams of adsorption uptake known as adsorption isotherms. To understand various forms of adsorption isotherms, the surface characteristics of the adsorbent surface with the heterogeneity of adsorption energy sites must be analyzed so that they can be modified for the tailored response of the material. Conventionally, such material synthesis is based on chemical recipes or post-treatment. However, if the adsorbent's surface characteristics and heterogeneity are known, then a directed change in the material structure can be planned for the desired results in the adsorption processes. In this paper, a theoretical and mathematical methodology is discussed to analyze the structure of various adsorbents in terms of the distribution of their adsorption energy sites. The change in their surface is then analyzed, which results in the tailored or customized response of the material.

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Models for Type VI Adsorption Isotherms from a Statistical Mechanical Formulation

Cited by 59 publications

References 17 publications

A Statistical Approach to Determine Optimal Models for IUPAC-Classified Adsorption Isotherms

A Statistical Approach to Determine Optimal Models for IUPAC-Classified Adsorption Isotherms

Rare earth metal oxide‐doped reduced graphene‐oxide nanocomposite as binder‐free hybrid electrode material for supercapacitor application

A Universal Mathematical Methodology in Characterization of Materials for Tailored Design of Porous Surfaces

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