Abstract

A mean field theory is introduced to describe nematic phases of a banana-shaped molecule of a bend angle (θ_B) with an axial chirality. We here take into account internal rotations: gauche- and trans-states, of the C-C bonds on the alkyl chains of the banana-shaped molecules. Using the Boltzmann statistics, the mean rotation angle is given as a function of temperature and the bond energy difference between the gauche- and the trans-states. We calculate phase diagrams on the temperature–bend angle plane and find six uniaxial and biaxial nematic phases with Landau points, depending on the bond energy.

中文翻译：

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具有 gauche- 和 trans 构象的香蕉形分子的向列-各向同性相变

摘要

引入平均场理论来描述具有轴向手性的弯曲角 ( θ _B )的香蕉形分子的向列相。我们在这里考虑了内部旋转：香蕉形分子的烷基链上的 CC 键的旋转和反式。使用 Boltzmann 统计，平均旋转角作为温度和 gauche 态和跨态之间的键能差的函数给出。我们计算了温度-弯曲角平面上的相图，并根据键能找到了六个具有朗道点的单轴和双轴向列相。