### Abstract

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 T_{i} on chain length. (Note that q and hence x is a function of temperature.) Like T_{i}, 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.

Original language | English |
---|---|

Pages (from-to) | 3387-3393 |

Number of pages | 7 |

Journal | Macromolecules |

Volume | 28 |

Issue number | 9 |

DOIs | |

Publication status | Published - Apr 1 1995 |

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### All Science Journal Classification (ASJC) codes

- Organic Chemistry
- Polymers and Plastics
- Inorganic Chemistry
- Materials Chemistry

### Cite this

*Macromolecules*,

*28*(9), 3387-3393. https://doi.org/10.1021/ma00113a044

**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.

Research output: Contribution to journal › Article

*Macromolecules*, vol. 28, no. 9, pp. 3387-3393. https://doi.org/10.1021/ma00113a044

}

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

VL - 28

SP - 3387

EP - 3393

JO - Macromolecules

JF - Macromolecules

SN - 0024-9297

IS - 9

ER -