Frank elastic constants: Difference between revisions

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==K3: Bend==
==K3: Bend==
==Distortion free energy==
==Distortion free energy==
:<math>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 </math>
:<math>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 </math>
==References==
#[http://dx.doi.org/10.1039/DF9582500019 F. C. Frank "I. Liquid crystals. On the theory of liquid crystals",  Discussions of the Faraday Society '''25''' pp. 19-28 (1958)]
#[http://dx.doi.org/10.1103/PhysRevA.37.1813 Michael P. Allen and Daan Frenkel "Calculation of liquid-crystal Frank constants by computer simulation", Physical Review A '''37''' 1813-1816 (1988)]
[[category: liquid crystals]]
[[category: liquid crystals]]

Latest revision as of 16:59, 21 January 2008

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K1: Splay[edit]

K2: Twist[edit]

K3: Bend[edit]

Distortion free energy[edit]

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)