Angular structure factor of the hexatic-B liquid crystals: bridging theory and experiment

Area of Science:

• Materials Science
• Condensed Matter Physics
• Crystallography

Background:

• Liquid crystals exhibit unique phases between solid and liquid states.
• The hexatic-B phase is characterized by orientational order and positional disorder.
• Understanding the structure factor is crucial for characterizing liquid crystal phases.

Purpose of the Study:

• To investigate the angular structure factor of liquid crystal hexatic-B films using X-ray scattering.
• To analyze the temperature evolution of scattering reflections.
• To elucidate the factors governing the hexatic structure factor.

Main Methods:

• X-ray scattering experiments were conducted on liquid crystal hexatic-B films.
• Analysis of the radial and angular cross-sections of scattering reflections.
• Fitting of experimental data using the Voigt function.

Main Results:

• The characteristic scattering of hexatic-B films splits into six reflections due to sixfold rotational symmetry.
• Angular profiles of in-plane X-ray scattering are well-fitted by the Voigt function over a broad temperature range.
• The observed scattering patterns align with theoretical predictions from multicritical scaling theory.

Conclusions:

• The Voigt function accurately describes the hexatic structure factor in hexatic-B films.
• The interplay between density fluctuations and orientational order explains the observed scattering.
• This study provides insights into the fundamental properties of the hexatic-B phase.