### 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 language | English |
---|---|

Pages (from-to) | 191-194 |

Number of pages | 4 |

Journal | Physics of Metals and Metallography |

Volume | 39 |

Issue number | 4 |

Publication status | Published - 1975 |

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### ASJC Scopus subject areas

- Metals and Alloys

### Cite this

*Physics of Metals and Metallography*,

*39*(4), 191-194.

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

Research output: Contribution to journal › Article

*Physics of Metals and Metallography*, vol. 39, no. 4, pp. 191-194.

}

TY - JOUR

T1 - CALCULATING LIMITS OF SOLUBILITY IN THE SOLID STATE BY THE METHOD OF THE PSEUDOPOTENTIAL.

AU - Fuks, D. L.

AU - Panin, V. Ye

AU - Zhorovkov, M. F.

PY - 1975

Y1 - 1975

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0016603953&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016603953&partnerID=8YFLogxK

M3 - Article

VL - 39

SP - 191

EP - 194

JO - Physics of Metals and Metallography

JF - Physics of Metals and Metallography

SN - 0031-918X

IS - 4

ER -