CALCULATING LIMITS OF SOLUBILITY IN THE SOLID STATE BY THE METHOD OF THE PSEUDOPOTENTIAL.

D. L. Fuks, V. Ye Panin, M. F. Zhorovkov

Research output: Contribution to journalArticle

Abstract

There have been a number of attempts to provide a theoretical description of the influence of different factors on solubility limits in binary solid solutions et al. Jones has used the theory of the Brillouin zones and the method of Bloch functions to analyze the limiting solubility in copper-based alloys. But the size factor was not taken into account. Other theories have involved calculation of the elastic strain arising when a solvent is substituted by a solute atom in the lattice of the solid solution calculations of the strain energy have revealed a direct relation between the solubility limit in the solid state and the Hume-Rothery rule of the 15% difference. It is interesting to examine the influence of band structure and the size factor within the same formalism. Such a problem may be solved on the basis of the theory of the pseudopotential. This paper puts forward a method of calculating solubility limits in binary alloys with the use of this theory. The method is illustrated on the simple example of the system Cd-Zn.

Original languageEnglish
Pages (from-to)191-194
Number of pages4
JournalPhysics of Metals and Metallography
Volume39
Issue number4
Publication statusPublished - 1975

Fingerprint

pseudopotentials
solubility
Solubility
solid state
Solid solutions
solid solutions
Binary alloys
binary alloys
Strain energy
Brillouin zones
Band structure
Copper
solutes
formalism
copper
Atoms
atoms
energy

ASJC Scopus subject areas

  • Metals and Alloys

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CALCULATING LIMITS OF SOLUBILITY IN THE SOLID STATE BY THE METHOD OF THE PSEUDOPOTENTIAL. / Fuks, D. L.; Panin, V. Ye; Zhorovkov, M. F.

In: Physics of Metals and Metallography, Vol. 39, No. 4, 1975, p. 191-194.

Research output: Contribution to journalArticle

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