Abstract

is obtained by the collective variables method. The theoretical results are illustrated by numerical calculations performed for disordered alloys of the K-Cs and Ca-Ba systems. A drastic effect of the ASD on the -function behaviour in the rst Brillouin zone is observed. The ASD smooth the dispersion of the -function. Negative values of the short-range order parameter on the rst coordination sphere indicate a trend to the ordering in alloys of the systems investigated. The ASD are shown to favour the ordering tendency. The theoretical conclusions concerning the temperature inuence on the short range order parameter perfectly agree with the experimental data from the treatment of the X-ray diffuse scattering in binary alloys.

Highlights

  • It is well known that the short-range order (SRO) in binary alloys is caused by the difference in effective interactions between ions of two kinds, namely, see [1,2]

  • One can notice from (32), (33), (20) and (26) that the binary correlation function Fourier components directly depend on the ordering potential, temperature and the Atomic static displacements (ASD)

  • The ASD have a drastic effect on the binary correlation function Fourier components ρkρ−k behaviour in the first Brillouin zone

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Summary

Introduction

It is well known that the short-range order (SRO) in binary alloys is caused by the difference in effective interactions between ions of two kinds, namely, see [1,2]. Formation of metal solid solutions is accompanied by the arising of local lattice distortions The latter are characterised by the ASD with respect to the ideal mean lattice sites. The ASD have a drastic effect on the X-ray (neutron) diffuse scattering [1] They determine a lattice parameter dependence on alloy concentration. Study of the ASD effect on the SRO formation is the purpose of the present paper.

The binary alloy free energy
Conclusions

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