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Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals Volume 366, 2001 - Issue 1
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5. Macroscopic Properties-Elastic, Dielectric, Ferroelectric, Linear and Nonlinear Optical, Thermal Dynamical Properties, Instabilities and Pattern Formation

FRANK ELASTICITY REVISITED: CONTRIBUTION OF ROTATIONAL ENTROPY

Jun-Ichi Fukuda Yokoyama Nano-structured Liquid Crystal Project, ERATO, Japan Science and Technology Corporation, 5-9-9 Tokodai, Tsukuba, 300-2635, JAPAN
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Hiroshi Yokoyama Yokoyama Nano-structured Liquid Crystal Project, ERATO, Japan Science and Technology Corporation, 5-9-9 Tokodai, Tsukuba, 300-2635, JAPAN; Molecular Physics Section, Electrotechnical Laboratory, 1-1-4 Umezono, Tsukuba, 305-8568, JAPAN
Pages 151-156 | Published online: 24 Sep 2006
 
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Abstract

In previous molecular theories of nematic liquid crystals, rotational entropy, or the entropy loss due to molecular alignment, has been believed to make no contribution to Frank elasticity. We show that this is not true, using a field-theoretical method developed in polymer physics. We also give an exact expression of the contribution of rotational entropy to Frank elasticity for rod-like liquid crystals in terms of the orientational tensor order parameter.

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