Frank elastic constants

From SklogWiki
Jump to: navigation, search
Simeq0.png This article is a 'stub' page, it has no, or next to no, content. It is here at the moment to help form part of the structure of SklogWiki. If you add sufficient material to this article then please remove the {{Stub-general}} template from this page.

K1: Splay[edit]

K2: Twist[edit]

K3: Bend[edit]

Distortion free energy[edit]

F_d = \frac{1}{2} K_1 ({\rm div}~ \mathbf{n})^2 + \frac{1}{2} K_2 (\mathbf{n} \cdot {\rm curl} ~ \mathbf{n})^2 + \frac{1}{2} K_3 (\mathbf{n} \times {\rm curl} ~ \mathbf{n})^2


  1. F. C. Frank "I. Liquid crystals. On the theory of liquid crystals", Discussions of the Faraday Society 25 pp. 19-28 (1958)
  2. Michael P. Allen and Daan Frenkel "Calculation of liquid-crystal Frank constants by computer simulation", Physical Review A 37 1813-1816 (1988)