European Journal of Chemistry 2011, 2(1), 14-17 | doi: | Get rights and content


Modeling of cation diffusion in bifunctional polymers based on cis-tetraphenylcalix[4]resorcinarene

Heinrich Naumovich Altshuler (1,*) , Olga Heinrichovna Altshuler (2)

(1) Kemerovo Division of Institute of Solid State Chemistry and Mechanochemistry Siberian Branch of Russian Academy of Sciences, Kemerovo, RU-650099, Russia
(2) Kemerovo State University, Kemerovo, RU-650043, Russia
(*) Corresponding Author

Received: 18 Oct 2010 | Accepted: 08 Nov 2010 | Published: 28 Mar 2011 | Issue Date: March 2011


In this study, we report that interaction of the network functional polymers based on cis-tetraphenylcalix[4]resorcinarene with aqueous solutions of electrolytes is controlled by diffusion of ions in a polymeric phase. The nanoreactor effect consisting in sufficiently high rate increase of a cation diffusion flux in bifunctional polymers containing sulfonic acid and phenol ionogenic groups has been found. For steady and non-steady states the solutions of the fundamental differential equation of cation diffusion in bifunctional polymers by means of the spherical layer model are obtained for a variety of initial and boundary conditions with constant diffusion coefficient. The proposed mathematical model explains the nanoreactor effect in bifunctional polymers.



Cis-tetraphenylcalix[4]resorcinarene; Bifunctional polymers; Ion exchange kinetics; Cation diffusion; Mathematical model; Nanoreactor effect

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DOI: 10.5155/eurjchem.2.1.14-17.297

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Funding information

This work was supported by the Russian Foundation for Basic Research (Project No: 07-03-96030).



[1]. O. G. Al’tshuler, G. Yu. Shkurenko, A. A. Gorlov, G. N. Al’tshuler
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Russian Journal of Physical Chemistry A  90(6), 1238, 2016
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[2]. T. N. Pashirova, E. P. Zhil´tsova, S. S. Lukashenko, E. M. Gibadullina, A. R. Burilov, L. Ya. Zakharova, A. I. Konovalov
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[3]. O. H. Altshuler, G. Yu. Shkurenko, H. N. Altshuler
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[4]. G. N. Al’tshuler, G. Yu. Shkurenko, A. A. Gorlov
Kinetics of the reduction of p-nitrobenzoic acid esters in nanoreactors on the basis of sulfonated polymers
Russian Journal of Physical Chemistry A  89(3), 372, 2015
DOI: 10.1134/S0036024415030024


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How to cite

Altshuler, H.; Altshuler, O. Eur. J. Chem. 2011, 2(1), 14-17. doi:10.5155/eurjchem.2.1.14-17.297
Altshuler, H.; Altshuler, O. Modeling of cation diffusion in bifunctional polymers based on cis-tetraphenylcalix[4]resorcinarene. Eur. J. Chem. 2011, 2(1), 14-17. doi:10.5155/eurjchem.2.1.14-17.297
Altshuler, H., & Altshuler, O. (2011). Modeling of cation diffusion in bifunctional polymers based on cis-tetraphenylcalix[4]resorcinarene. European Journal of Chemistry, 2(1), 14-17. doi:10.5155/eurjchem.2.1.14-17.297
Altshuler, Heinrich, & Olga Heinrichovna Altshuler. "Modeling of cation diffusion in bifunctional polymers based on cis-tetraphenylcalix[4]resorcinarene." European Journal of Chemistry [Online], 2.1 (2011): 14-17. Web. 13 Jul. 2020
Altshuler, Heinrich, AND Altshuler, Olga. "Modeling of cation diffusion in bifunctional polymers based on cis-tetraphenylcalix[4]resorcinarene" European Journal of Chemistry [Online], Volume 2 Number 1 (28 March 2011)

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