抄録
The nematic-isotropic transition behavior of semiflexible polymers in the bulk was studied on the basis of three typical models of orientation-dependent interactions (the Onsager-Kimura-type mean-field model, the lattice version of the Onsager model, and the Maier-Saupe-type soft interaction model) and two polymer models (the wormlike chain and the freely jointed chain with randomly distributed joints). The critical value of x = q/D required to stabilize the nematic phase was evaluated as a function of m = L/q for various combinations of the models, where L, q, and D are the contour length, the persistence length, and the diameter, respectively, of the chain. Even though x and x∞, the value of x at L → ∞, strongly depended on the models, the predicted ln(x/x∞) vs m relations were reasonably model-insensitive, offering a hopefully quantitative interpretation for the known dependence of the transition temperature Ti on chain length. (Note that q and hence x is a function of temperature.) Like Ti, the enthalpy change of transition was predicted to increase with L, approaching a constant value for large L. This behavior originates in the conformational change of semiflexible polymers and is not a characteristic of rigid rodlike molecules.
| 元の言語 | 英語 |
|---|---|
| ページ（範囲） | 3387-3393 |
| ページ数 | 7 |
| ジャーナル | Macromolecules |
| 巻 | 28 |
| 発行部数 | 9 |
| DOI | |
| 出版物ステータス | 出版済み - 4 1 1995 |
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All Science Journal Classification (ASJC) codes
- Organic Chemistry
- Polymers and Plastics
- Inorganic Chemistry
- Materials Chemistry
これを引用
Orientation-Dependent Interactions in Polymer Systems. 4. Chain-Length Dependence of the Nematic-Isotropic Transition Behavior of Thermotropic Semiflexible Polymers. / Fukuda, Takeshi; Takada, Akihiko; Tsujii, Yoshinobu; Miyamoto, Takeaki; Takada, Akihiko.
：: Macromolecules, 巻 28, 番号 9, 01.04.1995, p. 3387-3393.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Orientation-Dependent Interactions in Polymer Systems. 4. Chain-Length Dependence of the Nematic-Isotropic Transition Behavior of Thermotropic Semiflexible Polymers
AU - Fukuda, Takeshi
AU - Takada, Akihiko
AU - Tsujii, Yoshinobu
AU - Miyamoto, Takeaki
AU - Takada, Akihiko
PY - 1995/4/1
Y1 - 1995/4/1
N2 - The nematic-isotropic transition behavior of semiflexible polymers in the bulk was studied on the basis of three typical models of orientation-dependent interactions (the Onsager-Kimura-type mean-field model, the lattice version of the Onsager model, and the Maier-Saupe-type soft interaction model) and two polymer models (the wormlike chain and the freely jointed chain with randomly distributed joints). The critical value of x = q/D required to stabilize the nematic phase was evaluated as a function of m = L/q for various combinations of the models, where L, q, and D are the contour length, the persistence length, and the diameter, respectively, of the chain. Even though x and x∞, the value of x at L → ∞, strongly depended on the models, the predicted ln(x/x∞) vs m relations were reasonably model-insensitive, offering a hopefully quantitative interpretation for the known dependence of the transition temperature Ti on chain length. (Note that q and hence x is a function of temperature.) Like Ti, the enthalpy change of transition was predicted to increase with L, approaching a constant value for large L. This behavior originates in the conformational change of semiflexible polymers and is not a characteristic of rigid rodlike molecules.
AB - The nematic-isotropic transition behavior of semiflexible polymers in the bulk was studied on the basis of three typical models of orientation-dependent interactions (the Onsager-Kimura-type mean-field model, the lattice version of the Onsager model, and the Maier-Saupe-type soft interaction model) and two polymer models (the wormlike chain and the freely jointed chain with randomly distributed joints). The critical value of x = q/D required to stabilize the nematic phase was evaluated as a function of m = L/q for various combinations of the models, where L, q, and D are the contour length, the persistence length, and the diameter, respectively, of the chain. Even though x and x∞, the value of x at L → ∞, strongly depended on the models, the predicted ln(x/x∞) vs m relations were reasonably model-insensitive, offering a hopefully quantitative interpretation for the known dependence of the transition temperature Ti on chain length. (Note that q and hence x is a function of temperature.) Like Ti, the enthalpy change of transition was predicted to increase with L, approaching a constant value for large L. This behavior originates in the conformational change of semiflexible polymers and is not a characteristic of rigid rodlike molecules.
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U2 - 10.1021/ma00113a044
DO - 10.1021/ma00113a044
M3 - Article
AN - SCOPUS:0029288662
VL - 28
SP - 3387
EP - 3393
JO - Macromolecules
JF - Macromolecules
SN - 0024-9297
IS - 9
ER -