The transmission of symmetry in liquid crystals
Jie Xu, Pingwen Zhang
TL;DR
This paper investigates how molecular symmetry in liquid crystals is transmitted to homogeneous phases, extending previous proofs for rod-like molecules to three other symmetry types through conjecture and partial proof.
Contribution
It extends the understanding of symmetry transmission in liquid crystals by conjecturing and proving it for additional molecular symmetries beyond rod-like shapes.
Findings
Symmetry transmission is confirmed for rod-like molecules.
Conjecture that symmetry transmission applies to three other molecular symmetries.
Partial proofs provided for certain molecules of these symmetries.
Abstract
The existing experiments and simulations suggest that the molecular symmetry is always transmitted to homogeneous phases in liquid crystals. It has been proved for rod-like molecules. We conjecture that it holds for three other symmetries, and prove it for some molecules of these symmetries.
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