Molecular Chirality and Chiral Parameters

Дата и время публикации : 1999-01-18T21:00:26Z

Авторы публикации и институты :
A. B. Harris
Randall D. Kamien
T. C. Lubensky

Ссылка на журнал-издание: Rev. Mod. Phys. 71 (1999) 1745
Коментарии к cтатье: 14 pages, 7 included eps figures, RevTeX with rmp macros
Первичная категория: cond-mat.stat-mech

Все категории : cond-mat.stat-mech, cond-mat.soft, physics.atm-clus, physics.chem-ph

Краткий обзор статьи: The fundamental issues of symmetry related to chirality are discussed and applied to simple situations relevant to liquid crystals. We show that any chiral measure of a geometric object is a pseudoscalar (invariant under proper rotations but changing sign under improper rotations) and must involve three-point correlations which only come into play when the molecule has at least four atoms. In general, a molecule is characterized by an infinite set of chiral parameters. We illustrate the fact that these parameters can have differing signs and can vanish at different points as a molecule is continuously deformed into its mirror image. From this it is concluded that handedness is not an absolute concept but depends on the property being observed. Within a simplified model of classical interactions, we identify the chiral parameter of the constituent molecules which determines the macroscopic pitch of cholesterics.

Category: Physics