Frank elastic constants

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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

References[edit]

  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)