Skip to main content
SpringerLink
Log in

On the relationship between interaction coefficients

  • Published:
Metallurgical Transactions B Aims and scope Submit manuscript

Abstract

The widely used relationship between Wagner coefficients,ɛi(j) = ɛj(i) has been analyzed. Based on various representations of the independent composition variables, the validity of the relationship has strictly been limited to the cases when the ratio ln(γj/γi), i, j = 2,…,s is constant at the pointx 1 = 1 and in the neighborhood of this point, provided that the derivatives of the activity coefficients have finite values within the specified limit. The clarification of misconceptions about the Wagner coefficients, frequently encountered in the literature, has been attempted.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

G E :

Excess Gibbs free energy

n :

Number of moles

R:

Gas constant

T :

Temperature

x :

Mole fraction

Z:

Property of the whole phase

Z′:

Molar property

Zi :

Partial molar property of the componenti

α:

Vector

γ :

Activity coefficient

Δ:

Difference of the interaction coefficients

ε :

Interaction coefficient

λ :

Vector component

References

  1. C. Wagner:Thermodynamics of Alloys, Addison-Wesley Press, Cambridge, MA, 1952.

    Google Scholar 

  2. J. Chipman:J. ISI, 1955, vol. 180, pp. 97–106.

    CAS  Google Scholar 

  3. J. Chipman:Trans. AIME, 1967, vol. 239, pp. 1332–36.

    CAS  Google Scholar 

  4. C.H.P. Lupis and J. F. Elliott:Acta Metall., 1966, vol. 14, pp. 529–38.

    Article  CAS  Google Scholar 

  5. L. S. Darken:Trans. AIME, 1967, vol. 239, pp. 90–96.

    CAS  Google Scholar 

  6. D. R. Gaskell:Introduction to Metallurgical Thermodynamics. 2nd ed., McGraw-Hill, New York, NY, 1981.

    Google Scholar 

  7. O. Kubaschewski and C.B. Alcock:Metallurgical Thermochemistry, Pergamon Press, New York, NY, 1979.

    Google Scholar 

  8. C.B. Alcock:Principles of Pyrometallurgy, Academic Press, New York, NY, 1976.

    Google Scholar 

  9. L. Coudurier, D. W. Hopkins, and I. Wilkomirsky:Fundamentals of Metallurgical Processes, International Series on Materials Science & Technology, D.W. Hopkins, ed., Pergamon Press, New York, NY, 1978, vol. 27.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Academy of Mining and Metallurgy, Cracow, Poland

    M. Z. Sukiennik (Associate Professor)

  2. Department of Materials Science and Engineering, University of Florida, 32611, Gainesville, FL

    R. W. Olesinski (Research Associate)

Authors
  1. M. Z. Sukiennik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. W. Olesinski
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sukiennik, M.Z., Olesinski, R.W. On the relationship between interaction coefficients. Metall Trans B 15, 677–680 (1984). https://doi.org/10.1007/BF02657288

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02657288

Keywords

Search

Navigation