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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Tensor and complex anchoring in liquid crystals

Shiyanovskii1, Glushchenko, Reznikov

  • 1Liquid Crystal Institute, Kent State University, Kent, Ohio 44242 and Institute for Nuclear Research, 47 Prospect Nauki, Kyiv, 03039, Ukraine.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

We introduce a tensor model for liquid crystal (LC) surface anchoring, simplifying complex alignment effects. This model confirms that perpendicular photoalignment treatments can cancel each other out, restoring initial LC anchoring.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Physical Chemistry

Background:

  • Surface anchoring is crucial for liquid crystal (LC) display performance.
  • Existing models often struggle to capture complex anchoring behaviors.
  • Understanding cumulative effects of surface treatments is essential for advanced LC applications.

Purpose of the Study:

  • To develop a comprehensive tensor description for liquid crystal surface anchoring.
  • To analyze both homogeneous and inhomogeneous anchoring components.
  • To investigate the cumulative impact of multiple surface treatments.

Main Methods:

  • Formulated a tensor model for LC surface anchoring.
  • Reduced the tensor representation to an azimuthal anchoring coefficient for planar alignment.
  • Utilized photoalignment treatments with varying polarization states.

Main Results:

  • The tensor model successfully describes homogeneous and inhomogeneous anchoring.
  • The complex azimuthal anchoring coefficient quantifies anchoring strength and easy axis orientation.
  • Experimental confirmation of mutual compensation and restoration of initial anchoring using perpendicular polarization treatments.

Conclusions:

  • The proposed tensor model provides a unified framework for LC surface anchoring.
  • The model accurately predicts the outcome of sequential photoalignment treatments.
  • This work offers a new tool for designing and optimizing LC devices.