Recently reported data of the particle scattering function P(q) with the magnitude q of the scattering vector for rigid cyclic amylose tris(phenylcarbamate) (cATPC) and cyclic amylose tris(n-butylcarbamate) (cATBC) in different solvents were analyzed in terms of a novel simulation method based on the Kratky–Porod worm-like chain model. Although similar worm-like chain parameters were evaluated for both relatively flexible cyclic chains and the corresponding linear polymers, an appreciable decrease in the chain stiffness and slight extension of the local helical structure were found for cyclic chains with a higher chain stiffness. The difference in the worm-like chain parameters between the cyclic and linear chains cannot be realized in the previously reported molar mass dependence of the radius of gyration. This suggests that analyses of P(q) are decisively important to understand the conformational properties of rigid and/or semi-flexible cyclic chains in solution if the molar mass range of the cyclic polymer samples is limited.
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We thank Professor Takenao Yoshizaki at Kyoto University and Professor Takahiro Sato at Osaka University for fruitful discussions. This work was partially supported by JSPS KAKENHI Grant nos 23750128 and 25410130. The original SAXS data were acquired at the BL40B2 beamline in SPring-8 with the approval of the Japan Synchrotron Radiation Research Institute (JASRI) (proposal no. 2010B1126, 2011A1049 and 2011B1068) and at the BL-10C beamline in KEK-PF under the approval of the Photon Factory Program Advisory Committee (proposal no. 2010G080 and 2011G557).
The authors declare no conflict of interest.
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Ryoki, A., Ida, D. & Terao, K. Scattering function of semi-rigid cyclic polymers analyzed in terms of worm-like rings: cyclic amylose tris(phenylcarbamate) and cyclic amylose tris(n-butylcarbamate). Polym J 49, 633–637 (2017). https://doi.org/10.1038/pj.2017.27
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