Surface heterogeneity and surface area from linear inverse gas chromatography - Application to glass fibers

V. A. Bakaev; T. I. Bakaeva; C. G. Pantano

doi:10.1016/S0021-9673(02)00899-3

Surface heterogeneity and surface area from linear inverse gas chromatography - Application to glass fibers

V. A. Bakaev, T. I. Bakaeva, C. G. Pantano

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Abstract

A new method of measuring surface heterogeneity of non-porous adsorbents by inverse gas chromatography (IGC) is developed. In contrast with the methods described in the literature which are based on nonlinear chromatography (thermodynamics of adsorption) this method is based on linear chromatography (kinetics of adsorption). The mass balance equation of linear chromatography with axial diffusion term and the Langmuir kinetic equation on an open (non-porous) heterogeneous surface are solved by the method of Laplace transforms. The expressions for four semi-invariants of an elution profile are obtained. These are linear combinations of the moments of the distribution of sites in residence time of adsorbed molecule with coefficients determined from elution profile of non-adsorbing gas. Four semi-invariants of elution profiles of benzene and methane on a column packed with E-glass fiber were determined experimentally at temperatures around 100°C. The mean, the standard deviation of the normal distribution in adsorption energy as well as the sticking coefficient and pre-exponential factor of the Frenkel equation are determined for benzene on E-glass. A method of the specific surface determination from linear IGC is proposed.

Original language	English (US)
Pages (from-to)	153-165
Number of pages	13
Journal	Journal of Chromatography A
Volume	969
Issue number	1-2
DOIs	https://doi.org/10.1016/S0021-9673(02)00899-3
State	Published - Sep 6 2002

All Science Journal Classification (ASJC) codes

Analytical Chemistry
Biochemistry
Organic Chemistry

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10.1016/S0021-9673(02)00899-3

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title = "Surface heterogeneity and surface area from linear inverse gas chromatography - Application to glass fibers",

abstract = "A new method of measuring surface heterogeneity of non-porous adsorbents by inverse gas chromatography (IGC) is developed. In contrast with the methods described in the literature which are based on nonlinear chromatography (thermodynamics of adsorption) this method is based on linear chromatography (kinetics of adsorption). The mass balance equation of linear chromatography with axial diffusion term and the Langmuir kinetic equation on an open (non-porous) heterogeneous surface are solved by the method of Laplace transforms. The expressions for four semi-invariants of an elution profile are obtained. These are linear combinations of the moments of the distribution of sites in residence time of adsorbed molecule with coefficients determined from elution profile of non-adsorbing gas. Four semi-invariants of elution profiles of benzene and methane on a column packed with E-glass fiber were determined experimentally at temperatures around 100°C. The mean, the standard deviation of the normal distribution in adsorption energy as well as the sticking coefficient and pre-exponential factor of the Frenkel equation are determined for benzene on E-glass. A method of the specific surface determination from linear IGC is proposed.",

author = "Bakaev, {V. A.} and Bakaeva, {T. I.} and Pantano, {C. G.}",

note = "Funding Information: This material is based upon work supported by the National Science Foundation under grant No. DMR 9803884. Support of this work was also provided by NSF Industry-University Center for Glass Research and by Johns Manville Co. We are thankful to the Chemistry Department of the Pennsylvania State University for allowing us to use their GC facilities and especially to Christine Loop for her advice on conducting experimental part of this work.",

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doi = "10.1016/S0021-9673(02)00899-3",

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AU - Bakaeva, T. I.

AU - Pantano, C. G.

N1 - Funding Information: This material is based upon work supported by the National Science Foundation under grant No. DMR 9803884. Support of this work was also provided by NSF Industry-University Center for Glass Research and by Johns Manville Co. We are thankful to the Chemistry Department of the Pennsylvania State University for allowing us to use their GC facilities and especially to Christine Loop for her advice on conducting experimental part of this work.

PY - 2002/9/6

Y1 - 2002/9/6

N2 - A new method of measuring surface heterogeneity of non-porous adsorbents by inverse gas chromatography (IGC) is developed. In contrast with the methods described in the literature which are based on nonlinear chromatography (thermodynamics of adsorption) this method is based on linear chromatography (kinetics of adsorption). The mass balance equation of linear chromatography with axial diffusion term and the Langmuir kinetic equation on an open (non-porous) heterogeneous surface are solved by the method of Laplace transforms. The expressions for four semi-invariants of an elution profile are obtained. These are linear combinations of the moments of the distribution of sites in residence time of adsorbed molecule with coefficients determined from elution profile of non-adsorbing gas. Four semi-invariants of elution profiles of benzene and methane on a column packed with E-glass fiber were determined experimentally at temperatures around 100°C. The mean, the standard deviation of the normal distribution in adsorption energy as well as the sticking coefficient and pre-exponential factor of the Frenkel equation are determined for benzene on E-glass. A method of the specific surface determination from linear IGC is proposed.

AB - A new method of measuring surface heterogeneity of non-porous adsorbents by inverse gas chromatography (IGC) is developed. In contrast with the methods described in the literature which are based on nonlinear chromatography (thermodynamics of adsorption) this method is based on linear chromatography (kinetics of adsorption). The mass balance equation of linear chromatography with axial diffusion term and the Langmuir kinetic equation on an open (non-porous) heterogeneous surface are solved by the method of Laplace transforms. The expressions for four semi-invariants of an elution profile are obtained. These are linear combinations of the moments of the distribution of sites in residence time of adsorbed molecule with coefficients determined from elution profile of non-adsorbing gas. Four semi-invariants of elution profiles of benzene and methane on a column packed with E-glass fiber were determined experimentally at temperatures around 100°C. The mean, the standard deviation of the normal distribution in adsorption energy as well as the sticking coefficient and pre-exponential factor of the Frenkel equation are determined for benzene on E-glass. A method of the specific surface determination from linear IGC is proposed.

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Surface heterogeneity and surface area from linear inverse gas chromatography - Application to glass fibers

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