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Diffusive Spreading of Molecules in Nanoporous Materials

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Diffusive Spreading in Nature, Technology and Society

Abstract

Nanoporous materials are employed in numerous technologies of matter upgrading by mass separation and conversion (heterogeneous catalysis). The chapter deals with the measurement of guest diffusion in such materials and, thus, with the determination of a key parameter for performance enhancement of these technologies. The introduction of two “microscopic” measuring techniques (PFG NMR and microimaging), which are in the focus of this chapter, gave rise to a paradigm shift in our understanding of mass transfer in such materials. Nanoporous host-guest systems are, moreover, shown to serve as an ideal model system for investigating spreading phenomena quite in general. Ample options of investigation range from the comparison of equilibrium and non-equilibrium phenomena towards the investigation of conversions of both the spreading individuals and their environment.

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References

  1. J. Kärger, D.M. Ruthven, D.N. Theodorou, Diffusion in Nanoporous Materials (Wiley-VCH, Weinheim, 2012)

    Book  Google Scholar 

  2. G. Ertl, H. Knözinger, F. Schüth, J. Weitkamp (eds.), Handbook of Heterogeneous Catalysis, vol. 3, 2nd edn. (Wiley-VCH, Weinheim, 2008)

    Google Scholar 

  3. F. Schüth, K.S.W. Sing, J. Weitkamp (eds.), Handbook of Porous Solids (Wiley-VCH, Weinheim, 2002)

    Google Scholar 

  4. J. Weitkamp, Solid State Ionics 131, 175 (2000)

    Article  Google Scholar 

  5. W. Siegmund, Anacortes Refinery (Tesoro) (2008), https://upload.wikimedia.org/wikipedia/commons/5/51/Anacortes_Refinery_31911.JPG

  6. J. Kärger, C. Chmelik, R. Valiullin, Phys. J. 12, 39 (2013)

    Google Scholar 

  7. J. Kärger, ChemPhysChem 16, 24 (2015)

    Article  Google Scholar 

  8. P.T. Callaghan, Translational Dynamics and Magnetic Resonance (Oxford University Press, Oxford, 2011)

    Book  Google Scholar 

  9. J. Kärger, W. Heink, J. Magn. Reson. 51, 1 (1983)

    ADS  Google Scholar 

  10. R. Kimmich, Principles of Soft-Matter Dynamics (Springer, London, 2012)

    Book  Google Scholar 

  11. C. Chmelik, J. Kärger, Chem. Soc. Rev. 39, 4864 (2010)

    Article  Google Scholar 

  12. T. Titze et al., Angew. Chem. Int. Ed. 54, 14580 (2015)

    Article  Google Scholar 

  13. J. Kärger et al., Nat. Mater. 13, 333 (2014)

    Article  ADS  Google Scholar 

  14. C. Chmelik et al., Phys. Rev. Lett. 104, 85902 (2010)

    Article  ADS  Google Scholar 

  15. R. Krishna, Micropor. Mesopor. Mater. 185, 30 (2014)

    Article  Google Scholar 

  16. P. Kortunov et al., J. Phys. Chem. B 110, 23821 (2006)

    Article  Google Scholar 

  17. C. Chmelik et al., ChemPhysChem 10, 2623 (2009)

    Article  Google Scholar 

  18. J. Kärger, D.M. Ruthven, New J. Chem. 40, 4027 (2016)

    Article  Google Scholar 

  19. (a) L. Heinke, P. Kortunov, D. Tzoulaki, J. Kärger, Phys. Rev. Lett. 99, 228301 (2007); (b) L. Heinke, J. Kärger, Phys. Rev. Lett. 106, 74501 (2011); (c) J. Cousin Saint Remi et al., Nat. Mater. 10 (2015); (d) J.C.S. Remi et al., Nat. Mater. 15, 401 (2015)

    Google Scholar 

  20. (a) J. Crank, The Mathematics of Diffusion (Clarendon Press, Oxford, 1975); (b) H.S. Carslaw, J.C. Jaeger, Conduction of Heat in Solids (Oxford Science Publications, Oxford, 2004)

    Google Scholar 

  21. (a) J. Philibert, Atom Movement —Diffusion and Mass Transfer in Solids (Les Editions de Physique, Les Ulis, Cedex A, 1991); (b) H. Mehrer, Diffusion in Solids (Springer, Berlin, 2007)

    Google Scholar 

  22. J.M. van Bemmelen, Z. Anorg, Allg. Chem. 13, 233 (1897)

    Google Scholar 

  23. J.C. Maxwell, Philos. Mag. 19, 19 (1860)

    Google Scholar 

  24. J. Stefan, Wien Ber. 65, 323 (1872)

    Google Scholar 

  25. A. Einstein, Ann. Phys. 19, 371 (1906)

    Article  Google Scholar 

  26. S.R. DeGroot, P. Mazur, Non-Equilibrium Thermodynamics (Elsevier, Amsterdam, 1962)

    Google Scholar 

  27. R.M. Barrer, W. Jost, Trans. Faraday Soc. 45, 928 (1949)

    Article  Google Scholar 

  28. J. Kärger, Surf. Sci. 57, 749 (1976)

    Article  ADS  Google Scholar 

  29. (a) R.M. Barrer, Adv. Chem. Ser. 102, 1 (1971); (b) R.M. Barrer, Zeolites and Clay Minerals as Sorbents and Molecular Sieves (Academic Press, London, 1978)

    Google Scholar 

  30. L.S. Darken, Trans. Am. Inst. Mining Metall. Eng. 175, 184 (1948)

    Google Scholar 

  31. I. Prigogine, The End of Certainty (The Free Press, New York, London, Toronto, Sydney, 1997)

    Google Scholar 

  32. F. Salles et al., Angew. Chem. Int. Ed. 121, 8485 (2009)

    Article  Google Scholar 

  33. (a) R.Q. Snurr, J. Kärger, J. Phys. Chem. B 101, 6469 (1997); (b) F. Rittig, C.G. Coe, J.M. Zielinski, J. Phys. Chem. B 107, 4560 (2003)

    Google Scholar 

  34. S. Beckert et al., J. Phys. Chem. C 117, 24866 (2013)

    Article  Google Scholar 

  35. D. Freude et al., Micropor. Mesopor. Mater. 172, 174 (2013)

    Article  Google Scholar 

  36. (a) J. Caro, Micropor. Mesopor. Mater. 125, 79 (2009); (b) H. Bux et al., J. Membr. Sci. 369, 284 (2011)

    Google Scholar 

  37. H. Bux et al., Adv. Mater. 22, 4741 (2010)

    Article  Google Scholar 

  38. (a) C. Chmelik, A. Mundstock, P.D. Dietzel, J. Caro, Micropor. Mesopor. Mater. 183, 117 (2014); (b) U. Hong, J. Kärger, H. Pfeifer, J. Am. Chem. Soc. 113, 4812 (1991); (c) C. Chmelik, D. Freude, H. Bux, J. Haase, Micropor. Mesopor. Mater. 147, 135 (2012)

    Google Scholar 

  39. A. Lauerer et al., Nat. Commun. 6, 7697 (2015)

    Article  Google Scholar 

  40. J. Kärger, Nachr. Chem. 64, 620 (2016)

    Article  Google Scholar 

  41. H.W. Habgood, Can. J. Chem. 36, 1384 (1958)

    Article  Google Scholar 

  42. J. Kärger, M. Bülow, Chem. Eng. Sci. 30, 893 (1975)

    Article  Google Scholar 

  43. T. Titze et al., J. Phys. Chem. C 118, 2660 (2014)

    Article  Google Scholar 

  44. T. Titze et al., Angew. Chem. Int. Ed. 54, 5060 (2015)

    Article  Google Scholar 

  45. J. García-Martínez, K. Li (eds.), Mesoporous Zeolites. Preparation, Characterization and Applications (Wiley-VCH, Weinheim, 2015)

    Google Scholar 

  46. S. Mitchell et al., Nat. Commun. 6, 8633 (2015)

    Article  Google Scholar 

  47. M.O. Coppens, Nature Inspired Chemical Engineering (Inaugural Lecture) (Delft University Press, Delft, 2003)

    Google Scholar 

  48. D. Schneider et al., Chem. Ingen. Technol. 87, 1794 (2015)

    Article  Google Scholar 

  49. D. Mehlhorn et al., ChemPhysChem 13, 1495 (2012)

    Article  Google Scholar 

  50. J. Klafter, I.M. Sokolov, Phys. World August, 29 (2005)

    Google Scholar 

  51. P.S. Burada et al., ChemPhysChem 10, 45 (2009)

    Article  Google Scholar 

  52. N. Leibovich, E. Barkai, Phys. Rev. E 88, 32107 (2013)

    Article  ADS  Google Scholar 

  53. (a) K. Hahn, J. Kärger, V. Kukla, Phys. Rev. Lett. 76, 2762 (1996); (b) V. Kukla et al., Science. 272, 702 (1996)

    Google Scholar 

  54. (a) J. Kärger, Phys. Rev. E 47, 1427 (1993); (b) M. Kollmann, Phys. Rev. Lett. 90, 180602 (2003)

    Google Scholar 

  55. (a) K. Hahn, J. Kärger, J. Phys. Chem. 102, 5766 (1998); (b) P.H. Nelson, S.M. Auerbach, J. Chem. Phys. 110, 9235 (1999)

    Google Scholar 

  56. J. Kärger, K. Hahn, V. Kukla, C. Rödenbeck, Phys. Blätter 54, 811 (1998)

    Article  Google Scholar 

  57. S. Vasenkov, J. Kärger, Phys. Rev. E 66, 52601 (2002)

    Article  ADS  Google Scholar 

  58. F.J. Keil, R. Krishna, M.O. Coppens, Rev. Chem. Eng. 16, 71 (2000)

    Article  Google Scholar 

  59. H. Jobic, D. Theodorou, Micropor. Mesopor. Mater. 102, 21 (2007)

    Article  Google Scholar 

  60. (a) D.M. Ruthven, S. Brandani, M. Eic, in Adsorption and Diffusion, ed. by H.G. Karge, J. Weitkamp (Springer, Berlin, Heidelberg, 2008), p. 45; (b) J. van den Bergh, J. Gascon, F. Kapteijn, in Zeolites and Catalysis: Synthesis, Reactions and Applications, ed. by J. Cejka, A. Corma, S. Zones (Wiley-VCH, Weinheim, 2010), p. 361

    Google Scholar 

  61. C. Bräuchle, D.C. Lamb, J. Michaelis (eds.), Single Particle Tracking and Single Molecule Energy Transfer (Wiley-VCH, Weinheim, 2010)

    Google Scholar 

  62. E. Stavitski, B.M. Weckhuysen, Chem. Soc. Rev. 39, 4615 (2010)

    Article  Google Scholar 

  63. G.D. Birkhoff, Proc. Nat. Acad. Sci. 17, 656 (1931)

    Article  ADS  Google Scholar 

  64. F. Feil et al., Angew. Chem. Int. Ed. 51, 1152 (2012)

    Article  Google Scholar 

  65. (a) R. Valiullin et al., Nature 430, 965 (2006); (b) S. Naumov, R. Valiullin, P. Monson, J. Kärger, Langmuir 24, 6429 (2008); (c) D. Schneider, R. Valiullin, P.A. Monson, Langmuir 30, 1290 (2014); (d) D. Kondrashova, R. Valiullin, J. Phys. Chem. C 119, 4312 (2015)

    Google Scholar 

  66. (a) A. Lauerer et al., Micropor. Mesopor. Mater. 214, 143 (2015); (b) D. Kondrashova et al., Sci. Rep. 7, 40207 (2017)

    Google Scholar 

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Authors and Affiliations

  1. Faculty of Physics and Earth Sciences, Leipzig University, Linnéstr. 5, 04103, Leipzig, Germany

    Christian Chmelik, Dieter Freude, Jürgen Haase, Rustem Valiullin & Jörg Kärger

  2. Institute of Physical Chemistry and Electrochemistry, Leibniz University Hanover, Callinstr. 3A, 30167, Hanover, Germany

    Jürgen Caro

Authors
  1. Christian Chmelik
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  2. Jürgen Caro
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  3. Dieter Freude
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  4. Jürgen Haase
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  5. Rustem Valiullin
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  6. Jörg Kärger
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Correspondence to Jörg Kärger .

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Editors and Affiliations

  1. Institut für Theoretische Physik, Justus-Liebig-Universität Gießen Institut für Theoretische Physik, Gießen, Germany

    Armin Bunde

  2. Inst. für Physikalische Chemie und Elektrochemie, Leibniz-Universität Hannover, Hannover, Germany

    Jürgen Caro

  3. Institut für Experimentalphysik I, Universität Leipzig Institut für Experimentalphysik I, Leipzig, Germany

    Jörg Kärger

  4. Inst. für Festkörperphysik, Universität Wien, Wien, Austria

    Gero Vogl

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Chmelik, C., Caro, J., Freude, D., Haase, J., Valiullin, R., Kärger, J. (2018). Diffusive Spreading of Molecules in Nanoporous Materials. In: Bunde, A., Caro, J., Kärger, J., Vogl, G. (eds) Diffusive Spreading in Nature, Technology and Society. Springer, Cham. https://doi.org/10.1007/978-3-319-67798-9_10

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