Determination of stacking ordering in disordered close-packed structures from pairwise correlation functions.

Area of Science:

• Materials Science
• Crystallography
• Computational Chemistry

Background:

• Determining the stacking sequence of layers in close-packed structures is crucial for understanding material properties.
• Existing methods for reconstructing stacking sequences can be limited in accuracy or applicability.

Purpose of the Study:

• To develop a robust and accurate method for reconstructing the stacking sequence from pairwise correlation functions in close-packed structures.
• To validate the proposed method using both simulated and experimental data.

Main Methods:

• Analytical formulation and solution for reconstructing stacking sequences using exact pairwise correlation counts.
• Development of a simulated annealing procedure for practical reconstruction, utilizing approximate solutions as initial guesses.
• Testing the robustness of the simulated annealing procedure with synthetic data and an experimental example.

Main Results:

• The analytical solution provides a theoretical basis for stacking sequence reconstruction.
• The simulated annealing procedure demonstrates robustness across diverse synthetic datasets.
• The method shows favorable comparison with existing techniques when applied to experimental data.

Conclusions:

• The developed approach offers a reliable method for determining stacking sequences in close-packed materials.
• The combination of theoretical insights and computational optimization enhances reconstruction accuracy.
• This technique is applicable to both simulated and real-world crystallographic data.