Critical Evaluation of Macroscopic Theories for Multi-Component Diffusion in Ideal Langmuir Sorbents

N.E. Benes, H. Verweij

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

Materials research involves many areas for which a proper understanding of multi-component mass transport is essential. Examples include sintering and transport-limited reaction in syntheses. In addition, materials may be principally designed for direct manipulation of mass transport, as in membrane materials. Macroscopic descriptions for mass transport are available, but physical interpretation of related transport parameters is generally not straightforward and often relies on microscopic considerations. We will show that, even for diffusion in a simple ideal Langmuir type lattice, macroscopic theories should be used with caution. Differences in mobilities of dissimilar species can set off percolation behavior, causing the flux of the more mobile species to vanish. Such behavior is, for instance, observed for zeolite membranes and cannot be predicted by commonly accepted macroscopic transport theories. Correlations between successive movements of molecules cause a decrease in the self-diffusion coefficient, DS. For non-equilibrium transport it can be shown that correlation effects in most cases disappear in which case non-equilibrium transport becomes related to the component diffusion coefficient D, instead of the smaller DS.
Original languageEnglish
Title of host publicationMembranes - Synthesis, Properties and Applications
Subtitle of host publicationsymposium held December 2-5, 2002, Boston, Massachusetts, U.S.A.
EditorsV.N. Burganos, R.D. Noble, M. Asaeda, A. Ayral, J.D. LeRoux
Place of PublicationWarrendale, PA
PublisherMaterials Research Society
Number of pages6
DOIs
Publication statusPublished - 2003
EventMRS Fall Meeting 2003 - Boston, United States
Duration: 1 Dec 20035 Dec 2003

Publication series

NameMaterials Research Society symposium proceedings
PublisherMaterials Research Society
Volume752
ISSN (Print)0272-9172

Conference

ConferenceMRS Fall Meeting 2003
CountryUnited States
CityBoston
Period1/12/035/12/03

Fingerprint

sorbents
evaluation
diffusion coefficient
membranes
transport theory
manipulators
sintering
causes
synthesis
molecules

Keywords

  • METIS-214002

Cite this

Benes, N. E., & Verweij, H. (2003). Critical Evaluation of Macroscopic Theories for Multi-Component Diffusion in Ideal Langmuir Sorbents. In V. N. Burganos, R. D. Noble, M. Asaeda, A. Ayral, & J. D. LeRoux (Eds.), Membranes - Synthesis, Properties and Applications: symposium held December 2-5, 2002, Boston, Massachusetts, U.S.A. [AA8.12] (Materials Research Society symposium proceedings; Vol. 752). Warrendale, PA: Materials Research Society. https://doi.org/10.1557/PROC-752-AA8.12
Benes, N.E. ; Verweij, H. / Critical Evaluation of Macroscopic Theories for Multi-Component Diffusion in Ideal Langmuir Sorbents. Membranes - Synthesis, Properties and Applications: symposium held December 2-5, 2002, Boston, Massachusetts, U.S.A.. editor / V.N. Burganos ; R.D. Noble ; M. Asaeda ; A. Ayral ; J.D. LeRoux. Warrendale, PA : Materials Research Society, 2003. (Materials Research Society symposium proceedings).
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Benes, NE & Verweij, H 2003, Critical Evaluation of Macroscopic Theories for Multi-Component Diffusion in Ideal Langmuir Sorbents. in VN Burganos, RD Noble, M Asaeda, A Ayral & JD LeRoux (eds), Membranes - Synthesis, Properties and Applications: symposium held December 2-5, 2002, Boston, Massachusetts, U.S.A.., AA8.12, Materials Research Society symposium proceedings, vol. 752, Materials Research Society, Warrendale, PA, MRS Fall Meeting 2003, Boston, United States, 1/12/03. https://doi.org/10.1557/PROC-752-AA8.12

Critical Evaluation of Macroscopic Theories for Multi-Component Diffusion in Ideal Langmuir Sorbents. / Benes, N.E.; Verweij, H.

Membranes - Synthesis, Properties and Applications: symposium held December 2-5, 2002, Boston, Massachusetts, U.S.A.. ed. / V.N. Burganos; R.D. Noble; M. Asaeda; A. Ayral; J.D. LeRoux. Warrendale, PA : Materials Research Society, 2003. AA8.12 (Materials Research Society symposium proceedings; Vol. 752).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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AB - Materials research involves many areas for which a proper understanding of multi-component mass transport is essential. Examples include sintering and transport-limited reaction in syntheses. In addition, materials may be principally designed for direct manipulation of mass transport, as in membrane materials. Macroscopic descriptions for mass transport are available, but physical interpretation of related transport parameters is generally not straightforward and often relies on microscopic considerations. We will show that, even for diffusion in a simple ideal Langmuir type lattice, macroscopic theories should be used with caution. Differences in mobilities of dissimilar species can set off percolation behavior, causing the flux of the more mobile species to vanish. Such behavior is, for instance, observed for zeolite membranes and cannot be predicted by commonly accepted macroscopic transport theories. Correlations between successive movements of molecules cause a decrease in the self-diffusion coefficient, DS. For non-equilibrium transport it can be shown that correlation effects in most cases disappear in which case non-equilibrium transport becomes related to the component diffusion coefficient D, instead of the smaller DS.

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Benes NE, Verweij H. Critical Evaluation of Macroscopic Theories for Multi-Component Diffusion in Ideal Langmuir Sorbents. In Burganos VN, Noble RD, Asaeda M, Ayral A, LeRoux JD, editors, Membranes - Synthesis, Properties and Applications: symposium held December 2-5, 2002, Boston, Massachusetts, U.S.A.. Warrendale, PA: Materials Research Society. 2003. AA8.12. (Materials Research Society symposium proceedings). https://doi.org/10.1557/PROC-752-AA8.12