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Forming a cube from a sphere with tetratic order.

O V Manyuhina1, M J Bowick1

  • 1Physics Department, Syracuse University, Syracuse, New York 13244, USA.

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This summary is machine-generated.

The tetratic phase, composed of square particles, exhibits fourfold symmetry. Researchers found that eight +1/4 disclinations on a sphere arrange into a cube

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Area of Science:

  • Soft matter physics
  • Liquid crystals
  • Materials science

Background:

  • The tetratic phase features square particles with fourfold symmetry.
  • It shows quasi-long-range orientational order but lacks translational order.

Purpose of the Study:

  • To construct the elastic free energy for tetratic phases.
  • To analyze the behavior of disclinations in planar and spherical geometries.

Main Methods:

  • Developed a covariant formalism to model elastic free energy.
  • Derived a closed-form solution for ±1/4 disclinations in planar geometry.
  • Applied the formalism to a sphere under the one elastic constant approximation.

Main Results:

  • Identified eight +1/4 disclinations on a sphere, positioning them at the vertices of a cube.
  • Demonstrated that defect interactions and bending energy cause sphere flattening into cube-symmetric superspheroids.

Conclusions:

  • The study provides analytical insights into the defect behavior in tetratic phases.
  • Predicts the formation of cube-like superspheroids due to elastic and defect energies.