Publication:
New Sorption Isotherms Derived from a Gamma Distribution of Binding Constants

Simple item page
dc.citedby0
dc.contributor.authorDebord J.en_US
dc.contributor.authorHarel M.en_US
dc.contributor.authorBollinger J.-C.en_US
dc.contributor.authorKoopal L.en_US
dc.contributor.authorSalvestrini S.en_US
dc.contributor.authorChu K.H.en_US
dc.contributor.authorid7005677021en_US
dc.contributor.authorid7006218434en_US
dc.contributor.authorid35546414700en_US
dc.contributor.authorid7006913453en_US
dc.contributor.authorid6602767451en_US
dc.contributor.authorid7402453718en_US
dc.date.accessioned2025-03-03T07:42:53Z
dc.date.available2025-03-03T07:42:53Z
dc.date.issued2024
dc.description.abstractNew sorption isotherms for heterogeneous sorbents are derived by combining a Gamma distribution of binding constants with a local isotherm defined by a Langmuir or Hill equation. The new ?Gamma isotherms? are expressed as Stieltjes transforms of the distribution and involve generalized exponential integrals. The related energy distributions are asymmetric and present a peak corresponding to the mean binding constant. The advantages of the new isotherms are (1) at low pressures or concentrations, with a Langmuir local isotherm, the global ?Gamma-Langmuir? isotherm retrieves Henry?s law; (2) contrary to the power Freundlich or hypergeometric Freundlich global isotherms, these Gamma isotherms do not need a redefinition of the standard state; (3) with a Hill local isotherm, the global ?Gamma-Hill? isotherm allows a separate estimation of the cooperativity and heterogeneity parameters; and (4) the condensation approximation is a good approximation if the local isotherm is Hill and displays a high degree of cooperativity. The Gamma-Langmuir model is applied to three examples from the literature, with rather different Gamma distributions. ? 2024 American Chemical Society.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1021/acs.langmuir.4c00862
dc.identifier.epage12077
dc.identifier.issue23
dc.identifier.scopus2-s2.0-85194256811
dc.identifier.spage12070
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85194256811&doi=10.1021%2facs.langmuir.4c00862&partnerID=40&md5=c50a7ca9503c824d9381c2315145b312
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/36527
dc.identifier.volume40
dc.pagecount7
dc.publisherAmerican Chemical Societyen_US
dc.sourceScopus
dc.sourcetitleLangmuir
dc.subjectAdsorption isotherms
dc.subjectProbability distributions
dc.subjectSorption
dc.subjectsorbent
dc.subjectBinding constant
dc.subjectCooperativity
dc.subjectEnergy distributions
dc.subjectExponential integrals
dc.subjectFreundlich
dc.subjectGamma distribution
dc.subjectHills' equations
dc.subjectLangmuir equation
dc.subjectSorption isotherms
dc.subjectStieltjes transform
dc.subjectarticle
dc.subjectassociation constant
dc.subjectcontrolled study
dc.subjecthypobaric pressure
dc.subjectisotherm
dc.subjectBinding energy
dc.titleNew Sorption Isotherms Derived from a Gamma Distribution of Binding Constantsen_US
dc.typeArticleen_US
dspace.entity.typePublication
Files
Collections
SCOPUS