ArticleLangmuir : the ACS journal of surfaces and colloids2023
Cooperativity in Sorption Isotherms.
Article in Langmuir : the ACS journal of surfaces and colloids, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- High-Density Iron Nanostructures Grown on Electrospun PVA/Pectin Fibers via Seed-Mediated Strategy for As(V) Remediation.Small methods · 2026Article
- Encapsulation of Menthol in Bimodal Mesoporous Silica via Normal-Temperature and Alcohol-Thermal Loading Methods for Achieving Sustained Releasing Performances.Nanomaterials (Basel, Switzerland) · 2026Article
- A General-Purpose Model Adsorption Isotherm and Whole Isotherm Surface Area Measurement Method.ACS omega · 2026Article
- Preparation of a distillers' grains derived lignin-chitosan adsorbent for enhanced distillery wastewater treatment.Scientific reports · 2026Article
- Surface Tension Isotherms: Reconceptualizing Adsorption, Self-Assembly, and Micelle Formation via the Fluctuation Theory.Langmuir : the ACS journal of surfaces and colloids · 2026Article
- Replacing the Langmuir Isotherm with the Statistical Thermodynamic Fluctuation Theory.The journal of physical chemistry letters · 2024Review
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
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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Registered trials
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