Scattering function of semi-rigid cyclic polymers analyzed in terms of worm-like rings: cyclic amylose tris(phenylcarbamate) and cyclic amylose tris(n-butylcarbamate)

Ryoki, Akiyuki, Ida, Daichi and Terao, Ken (2017) "Scattering function of semi-rigid cyclic polymers analyzed in terms of worm-like rings: cyclic amylose tris(phenylcarbamate) and cyclic amylose tris(n-butylcarbamate)," Polymer Journal, 49, 8, pp. 633–637

Some comments on the second virial coefficient of semiflexible polymers

A Monte Carlo study is made of the mean-square radius of gyration and second virial coefficient A2 for the two freely rotating chains with the Lennard-Jones (LJ) 6-12 potential and the hard-sphere (HS) one in the range of the bond angle theta from 109° (typical flexible chain) to 175° (typical semiflexible or stiff chain) and in the range of the number n of bonds from 6 to 1000. It is shown that a value may be properly assigned to the collision diameter of the HS potential so that of the chain with the HS potential agrees well with that of the chain with the LJ one whose parameter values correspond to a good-solvent condition irrespective of the chain stiffness. It is then found that A2 of the latter chain becomes remarkably smaller than that of the former as the chain stiffness is increased. The result implies that the binary-cluster approximation does not seem to work well for typical semiflexible and stiff polymers

ハンクッキョクセイ ホシガタ コウブンシ ノ キハク ヨウエキ ブッセイ

京都大学0048新制・課程博士博士(工学)甲第14170号工博第3004号新制||工||1446(附属図書館)26476UT51-2008-N487京都大学大学院工学研究科高分子化学専攻(主査)教授 吉﨑 武尚, 教授 田中 文彦, 教授 伊藤 紳三郎学位規則第4条第1項該当Doctor of EngineeringKyoto UniversityDFA

Mean-square radius of gyration and scattering function of semiflexible ring polymers of the trefoil knot

A Monte Carlo study of the mean-square radius of gyration Rg 2 and scattering function P(k) with k the magnitude of the scattering vector for semiflexible ring polymers of the trefoil knot was conducted by the use of the discrete version of the Kratky-Porod (KP) wormlike ring model. The behavior of Rg 2 and P(k) as functions of the reduced contour length λL, defined as the total contour length L divided by the stiffness parameter λ-1, is clarified. A comparison is made of the results for the KP ring of the trefoil knot with those for the KP ring of the trivial knot and for the phantom KP ring without the topological constraints

Some comments on the second virial coefficient of semiflexible polymers

A Monte Carlo study is made of the mean-square radius of gyration and second virial coefficient A2 for the two freely rotating chains with the Lennard-Jones (LJ) 6-12 potential and the hard-sphere (HS) one in the range of the bond angle theta from 109° (typical flexible chain) to 175° (typical semiflexible or stiff chain) and in the range of the number n of bonds from 6 to 1000. It is shown that a value may be properly assigned to the collision diameter of the HS potential so that of the chain with the HS potential agrees well with that of the chain with the LJ one whose parameter values correspond to a good-solvent condition irrespective of the chain stiffness. It is then found that A2 of the latter chain becomes remarkably smaller than that of the former as the chain stiffness is increased. The result implies that the binary-cluster approximation does not seem to work well for typical semiflexible and stiff polymers