Abstract
100 years after the birth of polymer science, it can be stated that viscometry of dilute polymer solutions is the most popular method among molecular hydrodynamics methods, the purpose of which is to obtain the molecular characteristics of individual polymer chains. The viscous flow of dilute aqueous solutions of polyelectrolytes–statistical copolymers of N-methyl-N-vinylacetamide and N-methyl-N-vinylamine hydrochloride was investigated in the range of ionic strengths from the minimum (10–6 M) to the maximum possible 6 M NaCl. Intrinsic viscosities were determined as ∂lnηr/∂c at c → 0. The obtained generalized dependence of the intrinsic viscosity on the ionic strength of the solution in a double logarithmic scale is sigmoidal. The intrinsic viscosity values change insignificantly in the range 10–6–10–4 M. The nature of the change in the hydrodynamic volume of charged macromolecules in the entire range of ionic strengths of solutions is discussed in comparison with the theory of single polyelectrolyte macromolecule in the salt solution developed by Vasilevskaya et al., [26].
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REFERENCES
Staudinger, H., in Nobel Lectures, Chemistry 1942−1962, Amsterdam: Elsevier, 1964, p 397−419; Staudinger, H., Trans. Faraday Soc. 1933, vol. 29, no. 140, p. 18–32.
Kraemer, E.O., Ind. Eng. Chem., 1938, vol. 30, no. 10, pp. 1200–1203.
Polymer Handbook, Brandrup, J., Immergut, E.H., and Grulke, E.A., Eds., New York: Wiley, 2003, 4th ed.
Huggins, M.L., J. Am. Chem. Soc., 1942, vol. 64, no. 11, pp. 2716–2718.
Fuoss, R.M., J. Polym. Sci., 1948, vol. 3, pp. 603–609.
Pals, D.T.F. and Hermans, J.J., J. Polym. Sci., Part A: Polym. Chem., 1950, vol. 5, pp. 733–734.
Ng, W.K., Tam, K.C., and Jenkins, R.D., Polymer, 2001, vol. 42, pp. 249–259.
Lopez, C.G., Colby, R.H., Graham, P., and Cabral, J.T., Macromolecules, 2017, vol. 50, no. 1, pp. 332–338.
Lopez, C.G., Macromolecules, 2019, vol. 52, no. 23, pp. 9409–9415.
Nishida, K., Kaji, K., Kanaya, T., and Fanjat, N, Polymer, 2002, vol. 43, pp. 1295–1300.
Dou, S. and Colby, R.H., J. Polym. Sci., Part B: Polym. Phys., 2006, vol. 44, p. 2001–2013.
Rushing, T.S. and Hester, R.D., Polymer, 2004, vol. 45, pp. 6587–6594.
Yang, J., Liu, N., Yu, D., Peng, C., Liu, H., Hu, Y., and Jiang, J. Ind. Eng., Chem. Res., 2005, vol. 44, no. 21, pp. 8120–8126.
Lu, Y., An, L., and Wang, Z.-G., Macromolecules, 2013, vol. 46, pp. 5731–574.
Katchalsky, A., Kunzle, O., and Kuhn, W., J. Polym. Sci., 1950, vol. 5, pp. 283–300.
Ptitsyn, O.B., Vysokomol. Soedin., 1961, vol. 3, p. 1084.
Ptitsyn, O.B., Vysokomol. Soedin., 1961, vol. 3, p. 1251.
Ptitsyn, O.B., Vysokomol. Soedin., 1961, vol. 3, p. 1401.
Odijk, T., J. Polym. Sci., Polym. Phys. Ed., 1977, vol. 15, pp. 477–483.
Skolnick, J. and Fixman, M., Macromolecules, 1977, vol. 10, no. 5, pp. 944–948.
Barrat, J.-L. and Joanny, J.-F., Europhys. Lett., 1993, vol. 24, no. 5, pp. 333–338.
Dobrynin, A.V., Macromolecules, 2005, vol. 38, no. 22, pp. 9304–9314.
Tanaka, T., Phys. Rev. Lett., 1978, vol. 40, pp. 820–823.
Khokhlov, A.R. and Grosberg, A.Yu., Statisticheskaya fizika makromolekul (Statistical Physics of Macromolecules), Moscow: Nauka, 1989.
Kramarenko, E.Yu., Khokhlov, A.R., and Yoshikawa, K., Macromolecules, 1997, vol. 30, pp. 3383–3388.
Vasilevskaya, V.V., Khokhlov, A.R., and Yoshikawa, K., Macromol. Theory Simul., 2000, vol. 9, pp. 600–607.
Vasilevskaya, V.V., Khokhlov, A.R., Matsuzawa, Y., and Yoshikawa, K., J. Chem. Phys., 1995, vol. 102, p. 6595.
Krotova, M.K., Vasilevskaya, V.V., Leclercq, L., Boustta, M., Vert, M., and Khokhlov, A.R., Macromolecules, 2009, vol. 42, p. 7495.
Morawetz, H.J., J. Polym. Sci., Part B: Polym. Phys., 2004, vol. 40, no. 11, pp. 1080–1086.
Dobrynin, A.V. and Rubinstein, M., Prog. Polym. Sci., 2005, vol. 30, no. 11, pp. 1049–1118.
Dobrynin, A.V., in Polymer Science: A Comprehensive Reference, Matyjaszewski, K. and Möller, M., Eds., Amsterdam: Elsevier, 2012, vol. 1, pp. 81–132.
Muthukumar, M., Macromolecules, 2017, vol. 50, pp. 9528–9560.
Stevens, M.J. and Kremer, K., J. Chem. Phys., 1995, vol. 103, p. 1669.
Yang, J., Liu, N., Yu, D., Peng, C., Liu, H., and Hu, Y., Ind. Eng. Chem. Res., 2005, vol. 44, no. 21, pp. 8120–8126.
Ashok, B. and Muthukumar, M., J. Phys. Chem. B, 2009, vol. 113, pp. 5736–5745.
Lopez, C.G., Colby, R.H., Graham, P., and Cabral, J.T., Macromolecules, 2017, vol. 50, pp. 332–338.
Pavlov, G.M., Gubarev, A.S., Zaitseva, I.I., and Sibileva, M.A., Russ. J. Appl. Chem., 2006, vol. 79, no. 9, pp. 1407–1412.
Pavlov, G.M. and Gubarev, A.S., in Advances in Physicochemical Properties of Biopolymers (Part 1), Masuelli, M.A. and Renard, D., Eds., Sharjah: Bentham Sci., 2017, vol. 1, pp. 433–460.
Wolf, B.A., Macromol. Rapid Commun., 2007, vol. 28, pp. 164–170.
Pavlov, G.M., Okatova, O.V., Gubarev, A.S., Gavrilova, I.I., and Panarin, E.F., Macromolecules, 2014, vol. 47, no. 8, pp. 2748–2758.
Pavlov, G.M., Dommes, O.A., Okatova, O.V., Gavrilova, I.I., and Panarin, E.F., Phys. Chem. Chem. Phys., 2018, vol. 20, pp. 9947–9981.
Gavrilova, I.I., Panarin, E.F., and Nesterova, N.A., Russ. J. Appl. Chem., 2012, vol. 85, no. 3, pp. 413–416.
Eich, A. and Wolf, B.A., Chem. Phys. Chem., 2011, vol. 12, pp. 2786–2790.
Wolf, B.A., RSC Adv., 2016, vol. 6, pp. 38004−38011.
Badiger, M.V., Gupta, N.R., Bernhard, J.E., and Wolf, B.A., Macromol. Chem. Phys., 2008, vol. 209, pp. 2087–2093.
Eckelt, J., Knopf, A., and Wolf, B.A., Macromolecules, 2008, vol. 41, no. 3, pp. 912–918.
Andreeva, L.N., Nekrasova, T.N., Nazarova, O.V., Bezrukova, M.A., Zolotova, J.I., Lebedeva, E.V., Tsvetkov, N.V., and Panarin, E.F., Eur. Polym. J., 2016, vol. 83, p. 22–34.
Spatareanu, A., Bercea, M., Budtova, T., Harabagiu, V., Sacarescu, L., and Coseri, S., Carbohydr. Polym., 2014, vol. 111, pp. 63–71.
Dragan, E.S., Bercea, M., and Sacarascu, L., React. Funct. Polym., 2018, vol. 124, pp. 171–180.
Cohen, J., Priel, Z., and Rabin, Y., J. Chem. Phys., 1988, vol. 88, no. 11, pp. 7111–7116.
Yamanaka, J., Matsuoka, H., Kitano, H., Hasegawa, M., and Ise, N., J. Am. Chem. Soc., 1990, vol. 112, pp. 587–592.
Rinaudo, M., Milas, M., Jouon, N., and Borsali, R., Polymer, 1993, vol. 34, no. 17, pp. 3710–3715.
Vink, H., Polymer, 1992, vol. 33, p. 3711.
Martin, N.B., Tripp, J.B., Shibata, J.H., and Schurr, J.M., Biopolymers, 1979, vol. 18, p. 2127.
Cox, R.A., J. Polym. Sci., 1960, vol. 47, no. 149, pp. 441–447.
Frisman, E.V., Schagina, L.V., Vorob’ev, V.I., and Shapiro, T.V., Biochemistry, 1966, vol. 31, pp. 1027–1032.
Yamakawa, H. and Fujii, M., Macromolecules, 1974, vol. 7, no. 1, pp. 128–134.
Takahashi, A., Kato, T., and Nagasawa, M., J. Phys. Chem., 1967, vol. 71, pp. 2001–2010.
Hirose, E., Iwamoto, Y., and Norisuye, T., Macromolecules, 1999, vol. 32, pp. 8629–8634.
Prabhu, V.M., Muthukumar, M., Wignall, G.D., and Melnichenko, Y.B., Polymer, 2001, vol. 42, pp. 8935–8946.
Pavlov, G.M., in Encyclopedia of Biophysics, Roberts, G. and Watts, A., Eds., Heidelberg: Springer, 2020, 2nd ed. https://doi.org/10.1007/978-3-642-35943-9_295-1
Tanford, C., Physical Chemistry of Macromolecules, New York: Wiley, 1961.
ACKNOWLEDGMENTS
The authors are grateful to the chief of the Laboratory of Hydrophilic Polymers of the Institute of Macromolecular Compounds of the Russian Academy of Sciences, corresponding member RAS, Prof. E.F. Panarin and scientific researcher of this laboratory, I.I. Gavrilova, for the provided polymer samples.
The authors are grateful to the referees for their careful reading of the manuscript and useful comments, and are also appreciative to the referee who pointed to the publication that made it possible to compare our experimental results with theoretical ones.
Funding
The authors acknowledge funding from the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2020-794).
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Dommes, O.A., Gosteva, A.A., Okatova, O.V. et al. Sizes Monitoring of Polyelectrolyte Flexible Chains over the Entire Range of Ionic Strength through Viscometry of Dilute Solutions. rev. and adv. in chem. 11, 134–144 (2021). https://doi.org/10.1134/S2079978021010027
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DOI: https://doi.org/10.1134/S2079978021010027