Twisted Parallism (9, 11, 13, 16): Chiral Nematics

  • Biological Molecules (cholesterol) Left-Handed
  • Not Invariant under Inversions, Reflections
  • Like Threads on a Screw (but Reflected)
  • Line Up Grooves on Top Guy with Threads on Bottom
  • Small Rotation Angle
  • Natural Parallel Transport
    • Straight Along n
    • Twists Perpendicular to n
  • Connection with Torsion!

This research was paid for by THE US GOVERNMENT by the NSF.

Links Back

Sethna's Research 90-94
Entertaining Science done at

Last modified: November 2, 1995

James P. Sethna,

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).