Mean-Square Radius of Gyration and Scattering Function of Semiflexible Ring Polymers of the Trefoil Knot
Abstract
:1. Introduction
2. Model and Method
3. Results and Discussion
3.1. Fraction of the Trefoil Knot
3.2. Mean-Square Radius of Gyration
3.3. Scattering Function
4. Concluding Remarks
Author Contributions
Conflicts of Interest
References and Notes
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N | (Error %) | (Error %) |
---|---|---|
() | ||
10 | 1.7 (0.3) | 0.0708 (0.1) |
20 | 4.2 (0.4) | 0.0698 (0.1) |
50 | 10.3 (0.3) | 0.0728 (0.1) |
100 | 17.2 (0.3) | 0.0778 (0.1) |
200 | 22.8 (0.3) | 0.0841 (0.1) |
500 | 16.4 (0.1) | 0.0936 (0.1) |
1000 | 4.3 (0.1) | 0.102 (0.1) |
() | ||
10 | 0.7 (0.3) | 0.0852 (0.1) |
20 | 2.4 (0.3) | 0.0884 (0.1) |
50 | 7.2 (0.2) | 0.0957 (0.2) |
100 | 13.6 (0.2) | 0.104 (0.1) |
200 | 20.8 (0.1) | 0.113 (0.1) |
() | ||
10 | 0.0 (0.3) | 0.119 (0.1) |
20 | 0.6 (0.2) | 0.130 (0.2) |
50 | 3.2 (0.2) | 0.152 (0.1) |
100 | 7.7 (0.2) | 0.171 (0.1) |
200 | 14.7 (0.2) | 0.190 (0.0) |
() | ||
20 | 0.0 (0.2) | 0.285 (0.0) |
50 | 0.4 (0.2) | 0.283 (0.1) |
100 | 2.1 (0.2) | 0.343 (0.1) |
200 | 5.9 (0.2) | 0.404 (0.1) |
() | ||
50 | 0.0 (0.3) | 0.914 (0.0) |
100 | 0.0 (0.4) | 0.830 (0.2) |
200 | 0.7 (0.3) | 0.914 (0.1) |
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Abe, H.; Ida, D. Mean-Square Radius of Gyration and Scattering Function of Semiflexible Ring Polymers of the Trefoil Knot. Polymers 2016, 8, 271. https://doi.org/10.3390/polym8080271
Abe H, Ida D. Mean-Square Radius of Gyration and Scattering Function of Semiflexible Ring Polymers of the Trefoil Knot. Polymers. 2016; 8(8):271. https://doi.org/10.3390/polym8080271
Chicago/Turabian StyleAbe, Hiroki, and Daichi Ida. 2016. "Mean-Square Radius of Gyration and Scattering Function of Semiflexible Ring Polymers of the Trefoil Knot" Polymers 8, no. 8: 271. https://doi.org/10.3390/polym8080271