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Title of Journal: J Math Chem

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Abbravation: Journal of Mathematical Chemistry

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Springer International Publishing

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DOI

10.1016/0140-6736(91)90877-R

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1572-8897

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Solving the adsorption integral equation with Lang

Authors: Steffen Arnrich Peter Bräuer Grit Kalies
Publish Date: 2015/07/11
Volume: 53, Issue: 9, Pages: 1997-2017
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Abstract

Adsorption energy distribution functions can be calculated from measured adsorption isotherms by solving the adsorption integral equation In this context it is common practice to use general regularization methods which are independent of the kernel of the adsorption integral equation but do not permit error estimation In order to overcome this disadvantage we present in this paper a solution theory which is tailormade for the Langmuir kernel of the adsorption integral equation The presented theory by means of differentiation and Fourier series is the basis for a regularization method with explicit terms for error amplification By means of simple and complicated adsorption energy distribution functions we show for ideal gas adsorption isotherms without measurement error that reliable distribution functions can be obtained from the isotherms Furthermore we show how the stability of the solution depends on temperature

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