A simple model for adsorption kinetics at charged solid-liquid interfaces

Autores
Luuk K. Koopal; Avena, Marcelo Javier
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The kinetics of adsorption of charged nano particles or molecules to a charged surface are modeled on the basis of a simple model that takes into account, (1) the transport step from bulk solution to the subsurface layer and (2) the attachment-detachment step that is involved in the transfer of the particle from the subsurface to the adsorbed state. The transport step is based on the presence of a diffusion layer. Passing through the electric double layer is made part of the attachment-detachment step. The configuration part of the attachment-detachment step is based on either a kinetic model that leads to the Langmuir equation in the equilibrium situation, or one that takes into account the 'specific' lateral interactions too and that leads in the equilibrium state to the Frumkin-Fowler-Guggenheim (FFG) equation. In the FFG model the activation energy due to specific lateral interactions is assumed to be proportional to the equilibrium lateral interaction energy. The effect of the electrostatic interactions and the corresponding activation energy barriers for adsorption and desorption are considered to be an additional part of the attachment-detachment step. The electrostatic potential of the activated state for attachment-detachment is made proportional to the equilibrium surface potential at a given adsorbed amount. The Gouy-Chapman model is used to calculate the (smeared-out) surface potential from the known (smeared-out) overall surface charge density, that is to say, from the known bare surface charge plus the effective charge contribution due to particle adsorption. As a result of this treatment the adsorption kinetics are not only a function of the particle concentration and the surface coverage, but also of the surface charge, the particle charge and the salt concentration. The model is illustrated with some calculated results. The first illustrations are based on the Langmuir model extended with electrostatic interactions and show, for a given particle concentration and transport rate constant, the effects of salt concentration, surface charge and particle charge on both the adsorption and desorption kinetics. The next illustrations are based on the FFG model extended with electrostatics and the effect of the specific lateral interactions on the adsorption kinetics of charged and uncharged particles is shown.
Fil: Luuk K. Koopal. University of Agriculture Wageningen; Países Bajos
Fil: Avena, Marcelo Javier. University of Agriculture Wageningen; Países Bajos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Química del Sur. Universidad Nacional del Sur. Departamento de Química. Instituto de Química del Sur; Argentina
Materia
ATTACHMENT-DETACHMENT STEP
FRUMKIN-FOWLER-GUGGENHEIM EQUATION
SOLID-LIQUID INTERFACE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/96895

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spelling A simple model for adsorption kinetics at charged solid-liquid interfacesLuuk K. KoopalAvena, Marcelo JavierATTACHMENT-DETACHMENT STEPFRUMKIN-FOWLER-GUGGENHEIM EQUATIONSOLID-LIQUID INTERFACEhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1The kinetics of adsorption of charged nano particles or molecules to a charged surface are modeled on the basis of a simple model that takes into account, (1) the transport step from bulk solution to the subsurface layer and (2) the attachment-detachment step that is involved in the transfer of the particle from the subsurface to the adsorbed state. The transport step is based on the presence of a diffusion layer. Passing through the electric double layer is made part of the attachment-detachment step. The configuration part of the attachment-detachment step is based on either a kinetic model that leads to the Langmuir equation in the equilibrium situation, or one that takes into account the 'specific' lateral interactions too and that leads in the equilibrium state to the Frumkin-Fowler-Guggenheim (FFG) equation. In the FFG model the activation energy due to specific lateral interactions is assumed to be proportional to the equilibrium lateral interaction energy. The effect of the electrostatic interactions and the corresponding activation energy barriers for adsorption and desorption are considered to be an additional part of the attachment-detachment step. The electrostatic potential of the activated state for attachment-detachment is made proportional to the equilibrium surface potential at a given adsorbed amount. The Gouy-Chapman model is used to calculate the (smeared-out) surface potential from the known (smeared-out) overall surface charge density, that is to say, from the known bare surface charge plus the effective charge contribution due to particle adsorption. As a result of this treatment the adsorption kinetics are not only a function of the particle concentration and the surface coverage, but also of the surface charge, the particle charge and the salt concentration. The model is illustrated with some calculated results. The first illustrations are based on the Langmuir model extended with electrostatic interactions and show, for a given particle concentration and transport rate constant, the effects of salt concentration, surface charge and particle charge on both the adsorption and desorption kinetics. The next illustrations are based on the FFG model extended with electrostatics and the effect of the specific lateral interactions on the adsorption kinetics of charged and uncharged particles is shown.Fil: Luuk K. Koopal. University of Agriculture Wageningen; Países BajosFil: Avena, Marcelo Javier. University of Agriculture Wageningen; Países Bajos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Química del Sur. Universidad Nacional del Sur. Departamento de Química. Instituto de Química del Sur; ArgentinaElsevier Science2001-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/96895Luuk K. Koopal; Avena, Marcelo Javier; A simple model for adsorption kinetics at charged solid-liquid interfaces; Elsevier Science; Colloids and Surfaces A: Physicochemical and Engineering Aspects; 192; 1-3; 11-2001; 93-1070927-7757CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/S0927-7757(01)00719-1info:eu-repo/semantics/altIdentifier/url/sciencedirect.com/science/article/pii/S0927775701007191info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:01:34Zoai:ri.conicet.gov.ar:11336/96895instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:01:34.664CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A simple model for adsorption kinetics at charged solid-liquid interfaces
title A simple model for adsorption kinetics at charged solid-liquid interfaces
spellingShingle A simple model for adsorption kinetics at charged solid-liquid interfaces
Luuk K. Koopal
ATTACHMENT-DETACHMENT STEP
FRUMKIN-FOWLER-GUGGENHEIM EQUATION
SOLID-LIQUID INTERFACE
title_short A simple model for adsorption kinetics at charged solid-liquid interfaces
title_full A simple model for adsorption kinetics at charged solid-liquid interfaces
title_fullStr A simple model for adsorption kinetics at charged solid-liquid interfaces
title_full_unstemmed A simple model for adsorption kinetics at charged solid-liquid interfaces
title_sort A simple model for adsorption kinetics at charged solid-liquid interfaces
dc.creator.none.fl_str_mv Luuk K. Koopal
Avena, Marcelo Javier
author Luuk K. Koopal
author_facet Luuk K. Koopal
Avena, Marcelo Javier
author_role author
author2 Avena, Marcelo Javier
author2_role author
dc.subject.none.fl_str_mv ATTACHMENT-DETACHMENT STEP
FRUMKIN-FOWLER-GUGGENHEIM EQUATION
SOLID-LIQUID INTERFACE
topic ATTACHMENT-DETACHMENT STEP
FRUMKIN-FOWLER-GUGGENHEIM EQUATION
SOLID-LIQUID INTERFACE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The kinetics of adsorption of charged nano particles or molecules to a charged surface are modeled on the basis of a simple model that takes into account, (1) the transport step from bulk solution to the subsurface layer and (2) the attachment-detachment step that is involved in the transfer of the particle from the subsurface to the adsorbed state. The transport step is based on the presence of a diffusion layer. Passing through the electric double layer is made part of the attachment-detachment step. The configuration part of the attachment-detachment step is based on either a kinetic model that leads to the Langmuir equation in the equilibrium situation, or one that takes into account the 'specific' lateral interactions too and that leads in the equilibrium state to the Frumkin-Fowler-Guggenheim (FFG) equation. In the FFG model the activation energy due to specific lateral interactions is assumed to be proportional to the equilibrium lateral interaction energy. The effect of the electrostatic interactions and the corresponding activation energy barriers for adsorption and desorption are considered to be an additional part of the attachment-detachment step. The electrostatic potential of the activated state for attachment-detachment is made proportional to the equilibrium surface potential at a given adsorbed amount. The Gouy-Chapman model is used to calculate the (smeared-out) surface potential from the known (smeared-out) overall surface charge density, that is to say, from the known bare surface charge plus the effective charge contribution due to particle adsorption. As a result of this treatment the adsorption kinetics are not only a function of the particle concentration and the surface coverage, but also of the surface charge, the particle charge and the salt concentration. The model is illustrated with some calculated results. The first illustrations are based on the Langmuir model extended with electrostatic interactions and show, for a given particle concentration and transport rate constant, the effects of salt concentration, surface charge and particle charge on both the adsorption and desorption kinetics. The next illustrations are based on the FFG model extended with electrostatics and the effect of the specific lateral interactions on the adsorption kinetics of charged and uncharged particles is shown.
Fil: Luuk K. Koopal. University of Agriculture Wageningen; Países Bajos
Fil: Avena, Marcelo Javier. University of Agriculture Wageningen; Países Bajos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Química del Sur. Universidad Nacional del Sur. Departamento de Química. Instituto de Química del Sur; Argentina
description The kinetics of adsorption of charged nano particles or molecules to a charged surface are modeled on the basis of a simple model that takes into account, (1) the transport step from bulk solution to the subsurface layer and (2) the attachment-detachment step that is involved in the transfer of the particle from the subsurface to the adsorbed state. The transport step is based on the presence of a diffusion layer. Passing through the electric double layer is made part of the attachment-detachment step. The configuration part of the attachment-detachment step is based on either a kinetic model that leads to the Langmuir equation in the equilibrium situation, or one that takes into account the 'specific' lateral interactions too and that leads in the equilibrium state to the Frumkin-Fowler-Guggenheim (FFG) equation. In the FFG model the activation energy due to specific lateral interactions is assumed to be proportional to the equilibrium lateral interaction energy. The effect of the electrostatic interactions and the corresponding activation energy barriers for adsorption and desorption are considered to be an additional part of the attachment-detachment step. The electrostatic potential of the activated state for attachment-detachment is made proportional to the equilibrium surface potential at a given adsorbed amount. The Gouy-Chapman model is used to calculate the (smeared-out) surface potential from the known (smeared-out) overall surface charge density, that is to say, from the known bare surface charge plus the effective charge contribution due to particle adsorption. As a result of this treatment the adsorption kinetics are not only a function of the particle concentration and the surface coverage, but also of the surface charge, the particle charge and the salt concentration. The model is illustrated with some calculated results. The first illustrations are based on the Langmuir model extended with electrostatic interactions and show, for a given particle concentration and transport rate constant, the effects of salt concentration, surface charge and particle charge on both the adsorption and desorption kinetics. The next illustrations are based on the FFG model extended with electrostatics and the effect of the specific lateral interactions on the adsorption kinetics of charged and uncharged particles is shown.
publishDate 2001
dc.date.none.fl_str_mv 2001-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/96895
Luuk K. Koopal; Avena, Marcelo Javier; A simple model for adsorption kinetics at charged solid-liquid interfaces; Elsevier Science; Colloids and Surfaces A: Physicochemical and Engineering Aspects; 192; 1-3; 11-2001; 93-107
0927-7757
CONICET Digital
CONICET
url http://hdl.handle.net/11336/96895
identifier_str_mv Luuk K. Koopal; Avena, Marcelo Javier; A simple model for adsorption kinetics at charged solid-liquid interfaces; Elsevier Science; Colloids and Surfaces A: Physicochemical and Engineering Aspects; 192; 1-3; 11-2001; 93-107
0927-7757
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/S0927-7757(01)00719-1
info:eu-repo/semantics/altIdentifier/url/sciencedirect.com/science/article/pii/S0927775701007191
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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