Frank elastic constants: Difference between revisions
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Carl McBride (talk | contribs) (New page: ==K1: Splay== ==K2: Twist== ==K3: Bend== ==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 +...) |
Carl McBride (talk | contribs) m (Added a couple of References) |
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{{Stub-general}} | |||
==K1: Splay== | ==K1: Splay== | ||
==K2: Twist== | ==K2: Twist== | ||
==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 15:59, 21 January 2008
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