Mathematical Aspects of Electroinitiated Free Radical Polymerization

With few simplifying but reasonable assumptions, some mathematical aspects of electroinitiated polymerization has been discussed in this research. The mathematical relationship between electrolysis current and the initial rate of free radical polymerization was derived. In the case of free radical polymerization, the initial rate was proportional to the half power of electrolysis current. The relationship between electrolysis current and the average degree of polymerization was also derived. Here, the mathematical relationship between electrolysis current and kinetic chain length for direct current control of a polymerizing system was also deduced.

Mathematical derivation, Electroinitiated polymerization, Free radical electrosynthesis

1. Fomo, Gertrude, Tesfaye Waryo, Usisipho Feleni, Priscilla Baker, and Emmanuel Iwuoha. "Electrochemical polymerization." Functional polymers (2019): 105-131. [Google Scholar] [Crossref]

2. Chen, K. T. "Electrochemical Synthesis: Empowering Green Chemistry and Sustainable Future, Insights Anal." Electrochem 9 (2023): 017. [Google Scholar] [Crossref]

3. Fomo, Gertrude, Tesfaye Waryo, Usisipho Feleni, Priscilla Baker, and Emmanuel Iwuoha. "Electrochemical polymerization." In Functional polymers, pp. 105-131. Springer, Cham, 2019. [Google Scholar] [Crossref]

4. Trueba, Monica, Stefano P. Trasatti, and Daniel O. Flamini. "The effect of aluminium alloy secondary phases on aniline-based silane protection capacity." Corrosion science 63 (2012): 59-70. [Google Scholar] [Crossref]

5. Deshpande, Pravin P., Niteen G. Jadhav, Victoria J. Gelling, and Dimitra Sazou. "Conducting polymers for corrosion protection: a review." Journal of Coatings Technology and Research 11, no. 4 (2014): 473-494. [Google Scholar] [Crossref]

6. Bhadani, Suraj N., Madhuri Kumari, and Sumanta K. Sen Gupta. "Shellac film coating on metal sheets by electrochemical polymerization." Journal of applied polymer science 49, no. 8 (1993): 1471-1474. [Google Scholar] [Crossref]

7. Bhadani, Suraj N., Sumanta K. Sen Gupta, Manoj K. Gupta, and Jagdeo Prasad. "Electrosynthesis of conducting poly (p‐phenylene)." Journal of applied polymer science 47, no. 7 (1993): 1215-1218. [Google Scholar] [Crossref]

8. K.J. Vetter, Electrochemical Kinetics, Academic Press, New York – London, 1967. [Google Scholar] [Crossref]

9. G.E. Ham, Vinyl Polymerization edited by G.E. Ham, Marcel Dekker, New York, 1967, part 1, p. 19. [Google Scholar] [Crossref]

10. B.L. Funt and S.N. Bhadani, J. Polym. Sci., Part A, 3, 4191 (1965) [Google Scholar] [Crossref]

11. Bhadani, Suraj N., Qayumuddin Ansari, and Sumanta K. Sen Gupta. "Electrochemical polymerization of acrylonitrile with quaternary salts." Journal of applied polymer science 44, no. 1 (1992): 121-126. [Google Scholar] [Crossref]

12. Lal, A. K., Sengupta, S. K., Singh, S., & Mahato, A. K. (2026). “Mathematical Aspect of Anionic Polymerization Via the Synthesis of Polymethyl Methacrylamide”. Vision Research Journal For Pure Sciences. 2(27). [50-55]. [Google Scholar] [Crossref]

13. Lal, A. K., Singh, S., Sengupta, S. K., & Mahato, A. K. (2026). Investigation of electrode metals and supporting electrolytes in the electrochemical polymerization of acrylamide. SSR Journal of Engineering and Technology (SSRJET), 3(7). [118-121] [Google Scholar] [Crossref]

• Interplay of Students’ Emotional Intelligence and Attitude toward Mathematics on Performance in Grade 10 Algebra
• Numerical Simulation of Fitzhugh-Nagumo Dynamics Using a Finite Difference-Based Method of Lines
• Fixed Point Theorem in Controlled Metric Spaces
• Usage of Moving Average to Heart Rate, Blood Pressure and Blood Sugar
• Exploring Algebraic Topology and Homotopy Theory: Methods, Empirical Data, and Numerical Examples