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Direct reconstruction of the two-dimensional pair distribution function in partially ordered systems with angular

I A Zaluzhnyy^1,2, R P Kurta³, A P Menushenkov²

¹Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, D-22607 Hamburg, Germany.

Physical Review. E

|October 15, 2016

Summary

This summary is machine-generated.

This study introduces a new X-ray scattering method to analyze order in 2D systems. It quantifies positional and bond-orientational order in liquid crystal films during phase transitions.

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Area of Science:

Materials Science
Condensed Matter Physics
Crystallography

Background:

Partially ordered 2D systems exhibit complex positional and bond-orientational (BO) order.
Understanding these orders is crucial for characterizing materials like liquid crystals.
Existing methods may not fully capture the interplay between different types of order in real space.

Purpose of the Study:

To develop and validate a novel X-ray scattering approach for determining the 2D pair distribution function (PDF).
To enable quantitative analysis of positional and BO order in real space.
To investigate the smectic-A-hexatic-B phase transition in liquid crystal films.

Main Methods:

Derivation of structure factor and PDF relations for 2D systems.
Application of the derived relations to X-ray scattering data from liquid crystal films.
Analysis of positional correlation lengths in various directions.

Main Results:

Successfully established relations between the structure factor and PDF for 2D systems.
Quantitatively analyzed the interplay between positional and BO order during the smectic-A-hexatic-B phase transition.
Determined directional positional correlation lengths in the liquid crystal film.

Conclusions:

The proposed X-ray scattering method provides a powerful tool for studying order in partially ordered 2D systems.
This approach offers new insights into phase transitions and the behavior of liquid crystals.
It enables detailed real-space analysis of structural correlations.