An evaluation on S-type adsorption isotherm in the model of crosslinked polyhydroxamates/oxazine dyes/water interactions

Saraydın, Dursun; Işıkver, Yasemin; Karadağ, Erdener

doi:10.1007/s10450-022-00367-7

Cited by 9 publications

(3 citation statements)

References 44 publications

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“…29 The classes L, H, and C can be captured by the ABC isotherm when generalized for sorbent/ solution. The class S can be modeled successfully by our sorbent/solution cooperative isotherm, as demonstrated using the sorption of dyes from aqueous solutions on a cross-linked polyhydroxamate 55 (Figure 7 and Table 1). To facilitate fitting Figure 7.…”

Section: ■ Results and Discussionmentioning

confidence: 99%

“…The classes L, H, and C can be captured by the ABC isotherm when generalized for sorbent/solution. The class S can be modeled successfully by our sorbent/solution cooperative isotherm, as demonstrated using the sorption of dyes from aqueous solutions on a cross-linked polyhydroxamate (Figure and Table ). To facilitate fitting and sense checking of the resultant parameters, we have rewritten eq in the following form ⟨ n 2 ⟩ = N m ( x 2 x s ) m 1 + true( x 2 x normals true) m where A m = x s – m and θ = ⟨ n 2 ⟩/ Nm .…”

Section: Resultsmentioning

confidence: 99%

“…To facilitate fitting Figure 7. Fitting of the cooperative isotherm (eq 16a) to the experimental adsorption data of cresyl blue (CB), nile blue (NB), and cresyl violet (CV) on cross-linked hydroxamate polymers containing ethylene glycol dimethacrylate (CHP-E) at 25 °C using the data reported by Saraydın et al 55 The fitting parameters are summarized in Table 1. and sense checking of the resultant parameters, we have rewritten eq 15 in the following form…”

Section: ■ Results and Discussionmentioning

confidence: 99%

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Cooperativity in Sorption Isotherms

Shimizu,

Matubayasi

2023

Langmuir

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We present a general theory of cooperativity in sorption isotherms that can be applied to sorbent/gas and sorbent/solution isotherms and is valid even when sorbates dissolve into or penetrate the sorbent. Our universal foundation, based on the principles of statistical thermodynamics, is the excess number of sorbates (around a probe sorbate), which can capture the cooperativities of sigmoidal and divergent isotherms alike via the ln–ln gradient of an isotherm (the excess number relationship). The excess number relationship plays a central role in deriving isotherm equations. Its combination with the characteristic relationship (i.e., a succinct summary of the sorption mechanism via the dependence of excess number on interfacial coverage or sorbate activity) yields a differential equation whose solution is an isotherm equation. The cooperative isotherm equations for convergent and divergent cooperativities derived from this novel method can be applied to fit experimental data traditionally fitted via various isotherm models, with a clear statistical thermodynamic interpretation of their parameters..

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Section: ■ Results and Discussionmentioning

confidence: 99%