OPTIMIZATION OF PHYSICO-CHEMICAL MODELS USING THE GAUSS-NEWTON METHOD

This study proposes the use of a numerical calculation method for optimizing non-linear physico-chemical models based on the Gauss-Newton algorithm. This method can be applicable to the Wagner-Traud model used to determine the parameters of corrosion and to adsorption isotherm models, like those of...

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Autores principales: BARBATO RAVERA,SALVADOR, ALVAREZ CHAVEZ,MIGUEL
Lenguaje:English
Publicado: Sociedad Chilena de Química 2005
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-97072005000400016
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spelling oai:scielo:S0717-970720050004000162006-04-19OPTIMIZATION OF PHYSICO-CHEMICAL MODELS USING THE GAUSS-NEWTON METHODBARBATO RAVERA,SALVADORALVAREZ CHAVEZ,MIGUEL Gauss-Newton algorithm isotherm of Langmuir and Langmuir-Freundlich Wagner-Traud equation corrosion current Tafel slopes free energy of adsorption This study proposes the use of a numerical calculation method for optimizing non-linear physico-chemical models based on the Gauss-Newton algorithm. This method can be applicable to the Wagner-Traud model used to determine the parameters of corrosion and to adsorption isotherm models, like those of Langmuir and Langmuir-Freundlich, to determine the free energy of adsorption. This method in present work was applicated to experimental data of polarization of the iron electrode in medium of sulfuric acid 0.5 M and experimental values of adsorption of 3-Mercaptopropyltrimethoxisilane on copper surface. For the first case (polarization) the results showed with the proposed method was obtained smaller relative errors than the relative errors obtained by the Polynomial method and the computational method of Betacrunch. In the second case, the results showed that the adsorption parameters agree with the model of isotherm of Langmuir-Freundlich, obtaining a free energy of adsorption of 40 kJ/molinfo:eu-repo/semantics/openAccessSociedad Chilena de QuímicaJournal of the Chilean Chemical Society v.50 n.4 20052005-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-97072005000400016en10.4067/S0717-97072005000400016
institution Scielo Chile
collection Scielo Chile
language English
topic Gauss-Newton algorithm
isotherm of Langmuir and Langmuir-Freundlich
Wagner-Traud equation
corrosion current
Tafel slopes
free energy of adsorption
spellingShingle Gauss-Newton algorithm
isotherm of Langmuir and Langmuir-Freundlich
Wagner-Traud equation
corrosion current
Tafel slopes
free energy of adsorption
BARBATO RAVERA,SALVADOR
ALVAREZ CHAVEZ,MIGUEL
OPTIMIZATION OF PHYSICO-CHEMICAL MODELS USING THE GAUSS-NEWTON METHOD
description This study proposes the use of a numerical calculation method for optimizing non-linear physico-chemical models based on the Gauss-Newton algorithm. This method can be applicable to the Wagner-Traud model used to determine the parameters of corrosion and to adsorption isotherm models, like those of Langmuir and Langmuir-Freundlich, to determine the free energy of adsorption. This method in present work was applicated to experimental data of polarization of the iron electrode in medium of sulfuric acid 0.5 M and experimental values of adsorption of 3-Mercaptopropyltrimethoxisilane on copper surface. For the first case (polarization) the results showed with the proposed method was obtained smaller relative errors than the relative errors obtained by the Polynomial method and the computational method of Betacrunch. In the second case, the results showed that the adsorption parameters agree with the model of isotherm of Langmuir-Freundlich, obtaining a free energy of adsorption of 40 kJ/mol
author BARBATO RAVERA,SALVADOR
ALVAREZ CHAVEZ,MIGUEL
author_facet BARBATO RAVERA,SALVADOR
ALVAREZ CHAVEZ,MIGUEL
author_sort BARBATO RAVERA,SALVADOR
title OPTIMIZATION OF PHYSICO-CHEMICAL MODELS USING THE GAUSS-NEWTON METHOD
title_short OPTIMIZATION OF PHYSICO-CHEMICAL MODELS USING THE GAUSS-NEWTON METHOD
title_full OPTIMIZATION OF PHYSICO-CHEMICAL MODELS USING THE GAUSS-NEWTON METHOD
title_fullStr OPTIMIZATION OF PHYSICO-CHEMICAL MODELS USING THE GAUSS-NEWTON METHOD
title_full_unstemmed OPTIMIZATION OF PHYSICO-CHEMICAL MODELS USING THE GAUSS-NEWTON METHOD
title_sort optimization of physico-chemical models using the gauss-newton method
publisher Sociedad Chilena de Química
publishDate 2005
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-97072005000400016
work_keys_str_mv AT barbatoraverasalvador optimizationofphysicochemicalmodelsusingthegaussnewtonmethod
AT alvarezchavezmiguel optimizationofphysicochemicalmodelsusingthegaussnewtonmethod
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