Comparative evaluation of adsorption energy distribution functions obtained by analytical and numerical methods

Golshan-Shirazi, Sadroddin; Guiochon, Georges

doi:10.1016/0021-9673(94)80275-0

Cited by 6 publications

(3 citation statements)

References 23 publications

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“…1 One is impressed by the various ways used to overcome the difficulty or rather impossibility of obtaining an analytical solution of the classical integral equation where Θ(p,T) is the overall experimental adsorption isotherm, unless approximations are used for the local adsorption isotherm θ i (p,T, ), and/or the adsorption energy distribution function f( ). Difficulties like this led scientists to turn into numerical solutions and estimations [2][3][4][5][6][7] of f( ), which open another way to the problem solution, but these need powerful computers not easily available everywhere. An inverse gas chromatographic tool is the reversed-flow gas chromatography (RF-GC) technique for physicochemical measurements, which dismisses the carrier gas from doing the work, and "appoints" the gaseous diffusion process in its place.…”

Section: Introductionmentioning

confidence: 99%

“…One is impressed by the various ways used to overcome the difficulty or rather impossibility of obtaining an analytical solution of the classical integral equation where ϑ ( p , T ) is the overall experimental adsorption isotherm, unless approximations are used for the local adsorption isotherm θ i ( p , T ,ε), and/or the adsorption energy distribution function f (ε). Difficulties like this led scientists to turn into numerical solutions and estimations − of f (ε), which open another way to the problem solution, but these need powerful computers not easily available everywhere.…”

Section: Introductionmentioning

confidence: 99%

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Time Distribution of Adsorption Energies, Local Monolayer Capacities, and Local Isotherms on Heterogeneous Surfaces by Inverse Gas Chromatography

and¹,

Arvanitopoulou²,

and³

et al. 1999

J. Phys. Chem. B

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A new inverse gas chromatographic methodology is introduced to measure local (homogeneous) adsorption energies, , local monolayer capacities, c max / , and adsorption isotherms, θ i (p,T, ) for probe gases on heterogeneous solid surfaces in the presence of nitrogen as carrier gas. The method does not depend on analytical solutions of the classical integral equation comprising the adsorption energy distribution function f( ) as unknown, nor on numerical solutions and estimations from this equation, using powerful computers.It simply uses a time function of the chromatographic peaks obtained by short flow-reversals of the carrier gas, combined with the local isotherm model of Jovanovic. All three adsorption parameters , c max / , and θ i (p,T, ) mentioned above can be calculated as a function of the experimental time and refer to instantaneous equilibration of the probe gases with the heterogeneous surface, with different kinds of active sites i being involved at different times. The kinetic physicochemical parameters for the adsorption phenomenon are also included for the gas/solid systems studied, being C

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Time Distribution of Adsorption Energies, Local Monolayer Capacities, and Local Isotherms on Heterogeneous Surfaces by Inverse Gas Chromatography

and¹,

Arvanitopoulou²,

and³

et al. 1999

J. Phys. Chem. B

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“…ο όπου @(ρ,Τ) είναι η γενική πειραματική ισόθερμος προσροφήσεως, θ^ρ,Τ,ε) η τοπική ισόθερμος προσροφήσεως , /(ε) η συνάρτηση κατανομής της ενέργειας προσροφήσεως. Οι δυσκολίες αυτές υποχρέωσαν τους επιστήμονες να στραφούν σε αριθμητικές λύσεις και εκτιμήσεις [189][190][191][192][193][194] για τον υπολογισμό της συναρτήσεως κατανομής της ενέργειας προσροφήσεως /(ε) και τελικά να χρησιμοποιήσουν πολύ ισχυρούς υπολογιστές και να ανοίξουν νέους δρόμους στη λύση του προβλήματος.…”

Section: αεριοχρωματογραφικος προσδιορισμος φυσικοχημικων μεγεθων προσροφησεως αεριων σε ετερογενη στερεα με τη μεθοδο αναστρεφομενης ροηunclassified

Αεριοχρωματογραφικός Προσδιορισμός Σταθερών Ταχύτητας Και Ενεργειακών Μεγεθών Προσροφήσεως Σε Αντιδράσεις Αέριων Ρύπων

Kalantzopoulos¹

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Time separation of adsorption sites on heterogeneous surfaces by inverse gas chromatography

Roubani‐Kalantzopoulou

Artemiadi

Bassiotis

et al. 2001

Chromatographia

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SummaryThe measurement of local (homogeneous) adsorption energies ci, local monolayer capacities, c max, local adsorption isotherms, Oi(p, T, e), and probability density functions for adsorption, f(e) and ~(e; t), can be used to study the mechanism of adsorption of five gaseous hydrocarbons on the heterogeneous surface of magnesium oxide.The method does not use analytical or numerical solutions of a classical integral equation comprising f(c) as unknown, but it depends on a time function of gas chromatographic peaks obtained by short flow-reversals of the carrier gas.The results for adsorption of ethane, ethylene,acetylene, propene, and 1-butene on MgO, in the absence and presence of 03 are given and discussed on the basis of a mechanism proposed earlier for argon on titatium dioxide.

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Comparative evaluation of adsorption energy distribution functions obtained by analytical and numerical methods

Cited by 6 publications

References 23 publications

Time Distribution of Adsorption Energies, Local Monolayer Capacities, and Local Isotherms on Heterogeneous Surfaces by Inverse Gas Chromatography

Time Distribution of Adsorption Energies, Local Monolayer Capacities, and Local Isotherms on Heterogeneous Surfaces by Inverse Gas Chromatography

Αεριοχρωματογραφικός Προσδιορισμός Σταθερών Ταχύτητας Και Ενεργειακών Μεγεθών Προσροφήσεως Σε Αντιδράσεις Αέριων Ρύπων

Time separation of adsorption sites on heterogeneous surfaces by inverse gas chromatography

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