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

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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.



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European Journal of Chemistry


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
Diffusion kinetics of the ion exchange of benzocaine on sulfocationites
Russian Journal of Physical Chemistry A  90(6), 1238, 2016
DOI: 10.1134/S0036024416060029

[2]. T. N. Pashirova, E. P. Zhil´tsova, S. S. Lukashenko, E. M. Gibadullina, A. R. Burilov, L. Ya. Zakharova, A. I. Konovalov
Supramolecular systems based on polyethyleneimines and octa-2-hydroxyethylated calix[4]resorcinarenes. Aggregation and catalytic activity
Russian Chemical Bulletin  65(5), 1272, 2016
DOI: 10.1007/s11172-016-1447-3

[3]. O. H. Altshuler, G. Yu. Shkurenko, H. N. Altshuler
Weak Base Diffusion in Strong Acid Cation Exchangers
Solvent Extraction and Ion Exchange  34(5), 502, 2016
DOI: 10.1080/07366299.2016.1207392

[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


[1]. Hogberg, A. G. S. J. Am. Chem. Soc. 1980, 102, 6046-6050.

[2]. Buchachenko, A. L. Usp. Khim. 1999, 2, 99-118.

[3]. Alexandratos, S. D.; Natesan, S. Macromolecules 2001, 34, 206-210.

[4]. Altshuler, H.; Ostapova, E.; Fedyaeva, O.; Sapozhnikova, L.; Altshuler, O. Macromol. Symp. 2002, 181, 1-5.

[5]. Altshuler, H.; Sapozhnikova, L.; Ostapova, E.; Fedyaeva, O.; Altshuler, O. Solvent Extr. Ion Exch. 2002, 20, 263-271.

[6]. Altshuler, O.; Sapozhnikova, L.; Altshuler, H. Polymer Science. Ser. A 2007, 49, 1198-1206.

[7]. Altshuler, H.; Abramova, L.; Altshuler, O. Russian Federation patent, Pat No: 2291171, January 2007.

[8]. Sapozhnikova, L.; Altshuler, O.; Malyshenko, N.; Shkurenko, G.; Ostapova, E.; Tryasunov, B.; Altshuler, H. Int. J. Hydrogen Energ. 2011, 36, 1259-1263.

[9]. Altshuler, H. N.; Ostapova, E. V.; Evdoshenko, A. A. Russ. J. Appl. Chem. 2006, 79, 82-84.

[10]. Altshuler, H. N.; Fedyaeva, O. N.; Sapozhnikova, L. A.; Ostapova, E. V. Vysokomol. Soedin. Ser. B 2001, 43, 755-759.

[11]. Ostapova, E. V.; Altshuler, O. H.; Sapozhnikova, L. A.; Altshuler, H. N. Russ. J. Phys. Chem. A 2003, 77, 909-913.

[12]. Altshuler, G. N.; Sapozhnikova, L. A.; Abramova, L. P. Russ. Chem. Bull. 1998, 47, 2146-2148.

[13]. Altshuler, H. N.; Fedyaeva, O. N.; Ostapova, E. V. Russ. Chem. Bull. 2000, 49, 1468-1470.

[14]. Altshuler, H.; Sapozhnikova, L.; Ostapova, E.; Altshuler, O. Russ. J. Phys. Chem. A 2007, 81, 1159-1164.

[15]. Altshuler, H. N; Ostapova, E. V.; Sapoznikova, L. A.; Altshuler, O. H. J. Therm. Anal. Calorim. 2008, 92, 665-669.

[16]. Fedoseeva, O. N.; Cherneva, E. P.; Tunitskii, N. N. Zh. Fiz Khim. 1959, 33, 936-938.

[17]. Altshuler, H.; Malyshenko, N.; Shkurenko, G. Russ. J. Appl. Chem. 2007, 80, 1737-1740.

[18]. Altshuler, O. H.; Malyshenko, N. V.; Shkurenko, G. J.; Altshuler, H. N. Theor. Found. Chem. Eng. 2009, 43, 43-49.

[19]. Helfferich F., Ionenaustauscher, Verlag Chemie, 1959.

[20]. Helfferich, F. J. Phys. Chem. 1965, 69, 1178-1187.

[21]. Crank J. The Matematics of Diffusion, 2nd edition, Clarendon Press, 1975.

[22]. Boyd, G.; Adamson, A.; Myers, L. J. Am. Chem. Soc. 1947, 69, 2836-2848.

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. 4 Jun. 2023
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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