Evaluation of copolymer composition homogeneity using mathematical modeling methods
Abstract
This article introduces an innovative method for quantifying the degree of composition homogeneity in copolymers using mathematical modeling techniques. Applicable to copolymers for which the mechanism of microstructure formation can described in terms of the Markov chains, the method consists in obtaining a set of shares of unit sequences of a given length from a high-resolution NMR spectrum (set A) and then finding, through mathematical modeling of the Markov matrix, transient probabilities in order to build a model of a polymer chain containing such a set of shares of unit sequences (set B) that matches, as close as possible, set A. The dispersion resulting from the comparison of sets A and B is proposed as a quantitative criterion for the degree of composition homogeneity.
Fields of Study & Subjects
Polymer crystallization and properties
Advanced Polymer Synthesis and Characterization
Block Copolymer Self-Assembly
Publication details
- Journal / source
- Učënye zapiski Kazanskogo universiteta. Seriâ Estestvennye nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Estestvennye nauki/Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Estestvennye nauki
- Volume
- 167
- Issue
- 4
- Pages
- 728–738
- Publication date
- 6 January 2026
- Language
- RU