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Updated: Jul 14, 2026

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Scaling behaviour of pair correlation functions for randomly faulted hexagonal close-packed structures
Pratyush Tiwary1, Dhananjai Pandey
1Department of Metallurgical Engineering, Banaras Hindu University, Varanasi 221005, India.
Abstract:
Monte Carlo simulations and analytical results are used to demonstrate that the hexagonal close-packed (h.c.p.) pair correlation functions for different values of randomly distributed growth and deformation faults can be collapsed into master curves when plotted against a spatial variable, scaled with respect to a characteristic length (L). The functional dependences of L on different types of faults are found to be non-universal. A simple method for the determination of L from the measured intensity distributions is also outlined.
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