Adsorption integral equation via complex approximation with constraints: kernel of general form

2001 ◽  
Vol 22 (10) ◽  
pp. 1058-1066
Author(s):  
Vladimir A. Bushenkov ◽  
J. P. Prates Ramalho ◽  
Georgi V. Smirnov
Keyword(s):  
Integral Equation ◽  
Complex Approximation ◽  
Adsorption Integral Equation

On the Structure of a Local Isotherm and Solution to the Adsorption Integral Equation

Langmuir ◽  
2000 ◽  
Vol 16 (4) ◽  
pp. 1918-1923 ◽  
Author(s):  
J. P. Prates Ramalho ◽  
Georgi V. Smirnov
Keyword(s):  
Integral Equation ◽  
Adsorption Integral Equation

scholarly journals A cut-off criterion for calculating more reliable adsorption energy distributions from gas adsorption isotherms

2018 ◽  
Vol 36 (9-10) ◽  
pp. 1629-1647
Author(s):  
A von Wedelstedt ◽  
S Arnrich ◽  
T Haehnel ◽  
G Kalies
Keyword(s):  
Integral Equation ◽  
Adsorption Isotherms ◽  
Adsorption Energy ◽  
Gas Adsorption ◽  
Energy Distributions ◽  
Fourier Cosine ◽  
Approximation Quality ◽  
Adsorption Integral Equation ◽  
Energetic Heterogeneity ◽  
Ill Posed

Adsorption energy distributions from experimental gas adsorption isotherms are capable to characterize the energetic heterogeneity of a solid surface. Unfortunately, they can only be computed by the adsorption integral equation, which represents an ill-posed problem, i.e., the solution is highly sensitive to errors in the input data. Ill-posed problems are usually solved by means of regularization, but general regularization schemata do not provide useful criteria to estimate the approximation quality. In this paper, a former presented solution strategy tailor-made for the Langmuir kernel of the adsorption integral equation is extended to Fourier transform. This yields a simple and effective cut-off criterion for the Fourier cosine transform of the adsorption energy distribution. The cut-off criterion is applied to calculate adsorption energy distributions from synthetic and experimental adsorption isotherms.

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