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Related Experiment Videos

Stabilizing the blue phases.

G P Alexander1, J M Yeomans

  • 1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
PubMed
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This study explores cholesteric liquid crystal phase diagrams using Landau-de Gennes theory. Elastic constants significantly influence blue phase stability, especially with helix inversion in the cholesteric phase.

Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Physical Chemistry

Background:

  • Cholesteric liquid crystals exhibit complex phase behavior.
  • Landau-de Gennes theory provides a framework for understanding liquid crystal phases.
  • The influence of elastic constants on phase stability requires detailed investigation.

Purpose of the Study:

  • To investigate the phase diagram of cholesteric liquid crystals using Landau-de Gennes theory.
  • To explore the impact of Frank elastic constants on the stability of cubic blue phases.
  • To analyze the effect of temperature-dependent pitch and helix inversion on the phase diagram.

Main Methods:

  • Utilizing Landau-de Gennes theory to model the free energy of cholesteric liquid crystals.
  • Incorporating all three Frank elastic constants (splay, twist, bend) into the free energy functional.

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  • Allowing for a temperature-dependent pitch in the cholesteric phase.

    • Main Results:

    • The stability region of cubic blue phases is highly sensitive to the values of elastic constants.
    • Increased bend elastic constant relative to splay reduces blue phase stability.
    • Reduced twist elastic constant relative to other constants also diminishes blue phase stability.
    • Helix inversion in the cholesteric phase dramatically increases the stability of blue phase I and alters the overall phase diagram.

    Conclusions:

    • Elastic constants play a critical role in determining the phase behavior of cholesteric liquid crystals.
    • The Landau-de Gennes framework, with modified free energy, accurately captures these dependencies.
    • Systems exhibiting helix inversion present unique phase diagrams with enhanced blue phase I stability.