Abstract
The approach to the prediction of permeability of polymer membranes based on polyimides and polyamidoimides towards helium is described. According to the approach, the activation energy of helium penetration is expressed by a relationship involving the van der Waals volume of the repeat unit and a set of atomic parameters characterizing the contribution of each of the atoms and intermolecular interaction types into the value of activation energy. The contributions of the imide cycles, type of the connection (meta-, para-, or ortho-), and of the CF3, CH3, CO, Cl, F, and SO2 polar groups have been accounted for. Repeated solution of the redundant set of equations obtained on the basis of the proposed relationship has afforded the parameters giving the correspondence of the calculated values and the experimental data on the membranes permeability with correlation coefficient 0.965. Hence, the possibility to search for the structures of polyimides and polyamidoimides with the target permeability without laborious and expensive experiments has been demonstrated.
Similar content being viewed by others
REFERENCES
A. Imtiaz, M. H. D. Othman, A. Jilani, I. U. Khan, R. Kamaludin, J. Iqbal, and A. G. Al-Sehemi, Membranes 12, 1 (2022).
A. Iulianelli and E. Drioli, Fuel Process. Technol. 206, 106464 (2020).
T. E. Rufford, K. I. Chan, S. H. Huang, and E. F. May, Adsorpt. Sci. Technol. 32, 49 (2014).
C. A. Scholes and U. K. Ghosh, Membranes 7, 1 (2017).
M. Alders, D. Winterhalder, and M. Wessling, Sep. Purif. Technol. 189, 433 (2017).
R. Sidhikku Kandath Valappil, N. Ghasem, and M. Al-Marzouqi, J. Ind. Eng. Chem. 98, 103 (2021).
Y. N. Sazanov, Russ. J. Appl. Chem. 74, 1253 (2001).
Z. Dai, J. Deng, X. He, C. A. Scholes, X. Jiang, B. Wang, H. Guo, Y. Ma, and L. Deng, Sep. Purif. Technol. 274, 119044 (2021).
J. Sunarso, S. S. Hashim, Y. S. Lin, and S. M. Liu, Sep. Purif. Technol. 176, 335 (2017).
A. Soleimany, S. S. Hosseini, and F. Gallucci, Chem. Eng. Process. 122, 296 (2017).
H. Sanaeepur, A. Ebadi Amooghin, S. Bandehali, A. Moghadassi, T. Matsuura, and B. Van der Bruggen, Prog. Polym. Sci. 91, 80 (2019).
Igor V. Volgin, Pavel A. Batyr, Andrey V. Matseevich, Alexey Yu. Dobrovskiy, Maria V. Andreeva, Victor M. Nazarychev, Sergey V. Larin, Mikhail Ya. Goikhman, Yury V. Vizilter, Andrey A. Askadskii, and Sergey V. Lyulin, ACS Omega 7 (48), 43678 (2022).
S. Velioğlu, S. B. Tantekin-Ersolmaz, and J. W. Chew, J. Membr. Sci. 543, 233 (2017).
L. M. Robeson, C. D. Smith, and M. Langsam, J. Membr. Sci. 132, 33 (1997).
J. Y. Park and D. R. Paul, J. Membr. Sci. 125, 23 (1997).
V. Ryzhikh, D. Tsarev, A. Alentiev, and Y. Yampolskii, J. Membr. Sci. 487, 189 (2015).
A. Y. Alentiev, K. A. Loza, and Y. P. Yampolskii, J. Membr. Sci. 167, 91 (2000).
Y. Hirayama, T. Yoshinaga, Y. Kusuki, K. Ninomiya, T. Sakakibara, and T. Tamari, J. Membr. Sci. 111, 169 (1996).
C. J. Cornelius and E. Marand, J. Membr. Sci. 202, 97 (2002).
M. R. Coleman and W. J. Koros, J. Polym. Sci., Polym. Phys. Ed. 32, 1915 (1994).
L. M. Costello and W. J. Koros, J. Polym. Sci., Polym. Phys. Ed. 33, 135 (1995).
D. Ayala, A. E. Lozano, J. De Abajo, C. García-Perez, J. G. De La Campa, K. V. Peinemann, B. D. Freeman, and R. Prabhakar, J. Membr. Sci. 215, 61 (2003).
T. A. Barbari, W. J. Koros, and D. R. Paul, J. Membr. Sci. 42, 69 (1989).
M. E. Rezac and B. Schöberl, J. Membr. Sci. 156, 211 (1999).
T. H. Kim, W. J. Koros, and G. R. Husk, J. Membr. Sci. 46, 43 (1989).
Z. K. Xu, M. Böhning, J. Springer, F. P. Glatz, and R. Mülhaupt, J. Polym. Sci., Polym. Phys. Ed. 35, 1855 (1997).
T. H. Kim, W. J. Koros, G. R. Husk, and K. C. O’Brien, J. Membr. Sci. 37, 45 (1988).
Y. Hirayama, T. Yoshinaga, S. Nakanishi, and Y. Kusuki, in Polymer Membranes in Gas and Vapor Separation, Ed. by. B. D. Freeman, and I. Pinnau (ACS, Washington, DC, 1999), p. 194.
W. H. Lin, R. H. Vora, and T. S. Chung, J. Polym. Sci., Polym. Phys. Ed. 38, 2703 (2000).
A. P. Korikov, Ya. S. Vygodskii, and Yu. P. Yampol’skii, Polym. Sci., Ser. A 43 (6), 638 (2001).
D. Fritsch and K. V. Peinemann, J. Membr. Sci. 99, 29 (1995).
M. Al-Masri, H. R. Kricheldorf, and D. Fritsch, Macromolecules 32, 7853 (1999).
M. Al-Masri, D. Fritsch, and H. R. Kricheldorf, Macromolecules 33, 7127 (2000).
N. N. Fateev, V. I. Solomakhin, B. A. Baiminov, A. V. Chuchalov, D. A. Sapozhnikov, and Y. S. Vygodskii, Polym. Sci., Ser. C 62 (2), 266 (2020).
M. D. Guiver, G. P. Robertson, Y. Dai, F. Bilodeau, Y. S. Kang, K. J. Lee, J. Y. Jho, and J. Won, J. Polym. Sci., Part A: Polym. Chem. 40 (23), 4193 (2002).
Y. Xiao, Y. Dai, T.-S. Chung, and M. D. Guiver, Macromolecules 38 (24), 10042 (2005).
S. S. Hosseini and T. S. Chung, J. Membr. Sci. 328 (1–2), 174 (2009).
Funding
This study was financially supported by Russian Science Foundation (project 22-13-00066), https://rscf.ru/en/project/22-13-00066/
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Translated by E. Karpushkin
Rights and permissions
About this article
Cite this article
Askadskii, A.A., Matseevich, A.V., Volgin, I.V. et al. Permeability of Polymer Membranes Based on Polyimides Towards Helium. Polym. Sci. Ser. A 65, 192–212 (2023). https://doi.org/10.1134/S0965545X2370089X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0965545X2370089X