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Reliability of Orientational Order Parameters Determined from Two-dimensional X-ray Diffraction Patterns: A

Frank Jenz¹, Stefan Jagiella¹, Matthew A Glaser²

¹Institute of Physical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569, Stuttgart, Germany.

Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry

|March 2, 2016

Summary

This summary is machine-generated.

This study validates a 2D X-ray diffraction method for measuring the orientational order parameter (S2) in liquid crystals. Simulation results show the Davidson, Petermann, and Levelut method reliably determines S2, with only a minor underestimation.

Keywords:

2D X-ray diffraction patterns Gay-Berne potential MD simulations liquid crystals orientational order parameter

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Area of Science:

Materials Science
Condensed Matter Physics
Crystallography

Background:

The orientational order parameter (S2) quantifies long-range orientational ordering in liquid crystals.
Existing experimental methods for S2 measurement involve simplifications and assumptions.
Accurate S2 determination is crucial for understanding liquid crystal phase behavior.

Purpose of the Study:

To evaluate the reliability of the Davidson, Petermann, and Levelut method for measuring S2 using 2D X-ray diffraction.
To assess the accuracy of this experimental technique through simulation-based analysis.
To provide a validated approach for S2 determination in liquid crystal research.

Main Methods:

Utilized a simulation-based approach to analyze the 2D X-ray diffraction data.
Investigated the Davidson, Petermann, and Levelut method for calculating the orientational order parameter (S2).
Compared simulation results with theoretical expectations to assess measurement accuracy.

Main Results:

The Davidson, Petermann, and Levelut method slightly underestimates S2.
The absolute difference in S2 values was found to be minimal (0.05).
The simulation confirms the reliability of the 2D X-ray diffraction method for S2 measurement.

Conclusions:

The 2D X-ray diffraction method, as proposed by Davidson, Petermann, and Levelut, provides reliable measurements of the orientational order parameter (S2).
The method's slight underestimation of S2 does not compromise its overall accuracy for liquid crystal characterization.
This simulation-based validation enhances confidence in using X-ray diffraction for studying liquid crystal ordering.