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Determination of Reactivity Ratios from Binary Copolymerization Using the k-Nearest Neighbor Non-Parametric
Iosif Sorin Fazakas-Anca1, Arina Modrea2, Sorin Vlase3,4
1AGIMED Sovata, 545500 Sovata, Romania.
This study introduces a novel method for calculating monomer reactivity ratios in binary copolymerization. The new approach accurately determines these ratios across various conversion levels, aligning well with established techniques.
Area of Science:
- Polymer Chemistry
- Chemical Engineering
- Materials Science
Background:
- Monomer reactivity ratios are crucial for predicting copolymer composition.
- Accurate determination of reactivity ratios is essential for controlling copolymer properties.
- Existing methods for calculating reactivity ratios have limitations, especially at higher conversions.
Purpose of the Study:
- To develop a new, robust method for calculating monomer reactivity ratios in binary copolymerization.
- To validate the proposed method using simulated and experimental data across a wide range of conversions.
- To compare the performance of the new method against established techniques.
Main Methods:
- A novel calculation method based on the terminal model for binary copolymerization.
- Utilizes a numerical integration algorithm coupled with k-nearest neighbour non-parametric regression for optimization.
- Tested on simulated data and experimental datasets for low, medium, and high conversions.
Main Results:
- The proposed method yields reactivity ratios in good agreement with traditional methods (e.g., Fineman-Ross, Kelen-Tüdös).
- Effective application demonstrated across low (<10%), medium (10-35%), and high (>40%) conversion ranges.
- Successful estimation of experimental errors from single datasets is also shown.
Conclusions:
- The new method provides accurate monomer reactivity ratios for binary copolymerization.
- It offers a reliable alternative to existing methods, particularly across different conversion extents.
- The method's ability to estimate experimental errors enhances its practical utility.
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