Adsorption-energy distribution of heterogeneous surfaces predicted by projections onto convex sets

Hocker, Thomas; Aranovich, Grigoriy L.; Donohue, Marc D.

doi:10.1006/jcis.2001.7496

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	Adsorption-energy distribution of heterogeneous surfaces predicted by projections onto convex sets
Authors:	Hocker, Thomas Aranovich, Grigoriy L. Donohue, Marc D.
DOI:	10.1006/jcis.2001.7496
Published in:	Journal of Colloid and Interface Science
Volume(Issue):	238
Issue:	1
Page(s):	167
Pages to:	176
Issue Date:	2001
Publisher / Ed. Institution:	Elsevier
ISSN:	0021-9797
Language:	English
Subjects:	Inversion; POCS; Adsorption; Energy
Subject (DDC):	530: Physics 621.3: Electrical, communications, control engineering
Abstract:	The method of projections onto convex sets (POCS) is used to calculate the adsorption-energy distribution-function from the adsorption integral (using a modified Langmuir local isotherm) for energetically heterogeneous surfaces. The POCS-method, originally developed in the 1960s, has been successfully applied for many years to estimation problems, mainly in the fields of image processing, signal recovery, and optics. It allows one to incorporate into an iteration scheme available information about the experimental data and the measurement error as well as a priori constraints (such as nonnegativity) based on physical reasoning. It is important to note that the POCS-method doesn't lead to a unique "optimum" solution. Rather, a feasible solution is found within a "solution space" that is consistent with all imposed constraints. The "size" of this solution space depends on how large the measurement errors are; it also depends on the accuracy of the error statistics, and the number and significance of a priori constraints used. In several examples, the POCS-method is used to recover energy distributions from simulated adsorption data containing normally distributed errors. The excellent recoveries obtained demonstrate the value of the POCS-method as a robust and reliable tool for adsorption-integral inversions.
URI:	https://digitalcollection.zhaw.ch/handle/11475/1621
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Organisational Unit:	Institute of Computational Physics (ICP)
Appears in collections:	Publikationen School of Engineering

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Hocker, T., Aranovich, G. L., & Donohue, M. D. (2001). Adsorption-energy distribution of heterogeneous surfaces predicted by projections onto convex sets. Journal of Colloid and Interface Science, 238(1), 167–176. https://doi.org/10.1006/jcis.2001.7496

Hocker, T., Aranovich, G.L. and Donohue, M.D. (2001) ‘Adsorption-energy distribution of heterogeneous surfaces predicted by projections onto convex sets’, Journal of Colloid and Interface Science, 238(1), pp. 167–176. Available at: https://doi.org/10.1006/jcis.2001.7496.

T. Hocker, G. L. Aranovich, and M. D. Donohue, “Adsorption-energy distribution of heterogeneous surfaces predicted by projections onto convex sets,” Journal of Colloid and Interface Science, vol. 238, no. 1, pp. 167–176, 2001, doi: 10.1006/jcis.2001.7496.

HOCKER, Thomas, Grigoriy L. ARANOVICH und Marc D. DONOHUE, 2001. Adsorption-energy distribution of heterogeneous surfaces predicted by projections onto convex sets. Journal of Colloid and Interface Science. 2001. Bd. 238, Nr. 1, S. 167–176. DOI 10.1006/jcis.2001.7496

Hocker, Thomas, Grigoriy L. Aranovich, and Marc D. Donohue. 2001. “Adsorption-Energy Distribution of Heterogeneous Surfaces Predicted by Projections onto Convex Sets.” Journal of Colloid and Interface Science 238 (1): 167–76. https://doi.org/10.1006/jcis.2001.7496.

Hocker, Thomas, et al. “Adsorption-Energy Distribution of Heterogeneous Surfaces Predicted by Projections onto Convex Sets.” Journal of Colloid and Interface Science, vol. 238, no. 1, 2001, pp. 167–76, https://doi.org/10.1006/jcis.2001.7496.