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$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

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Short-range order diffuse scattering in quasicrystals.

Akiji Yamamoto¹

¹National Institute for Materials Science, Namiki 1, Tsukuba, Ibaraki, 305-0044, Japan. yamamoto.akiji@nims.go.jp

Acta Crystallographica. Section A, Foundations of Crystallography

|April 21, 2010

Summary

This summary is machine-generated.

A new theory explains diffuse scattering intensity in quasicrystals using cluster models. This method accurately predicts intensity based on atomic arrangements and short-range order correlations.

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Area of Science:

Condensed matter physics
Materials science
Crystallography

Background:

Short-range order (SRO) significantly influences scattering patterns in quasicrystals.
Existing models may not fully capture the complexities of SRO in diffuse scattering.

Purpose of the Study:

To develop a comprehensive theory for diffuse scattering intensity in quasicrystals.
To establish a method for calculating SRO-based diffuse scattering using higher-dimensional cluster models.

Main Methods:

Formulating a theory based on higher-dimensional cluster models of quasicrystals.
Calculating diffuse scattering intensity using overlapped occupation domains and SRO correlation functions.
Applying the theory to a random atom distribution in phason flip sites within the Penrose pattern.

Main Results:

The diffuse scattering intensity is determined by the overlapped volume of occupation domains and SRO correlation functions.
Analytical and numerical results for the Penrose pattern model showed comparable diffuse scattering intensity.
The derived formula was validated through comparison with simulation data.

Conclusions:

The proposed theory provides a robust framework for understanding diffuse scattering in quasicrystals.
The method accurately predicts scattering intensity based on SRO and cluster models.
This work advances the study of atomic arrangements and order in quasicrystalline materials.