Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-25T17:56:57.531Z Has data issue: false hasContentIssue false

Prediction of Solid + Liquid Equilibrium Diagrams for Binary Mixtures Forming Solid Solutions with an Extremum

Published online by Cambridge University Press:  15 February 2011

Witold Brostow
Affiliation:
Department of Materials Engineering, Drexel University, Philadelphia, PA 19104, U.S.A.
M. Antonieta Macip
Affiliation:
Department of Materials Engineering, Drexel University, Philadelphia, PA 19104, U.S.A.
Get access

Abstract

Convenient methods of correlation and prediction of S+L diagrams exist only for systems forming eutectics. To deal with solid solutions, we have adopted the model of strictly regular solutions of Guggenheim [3–5]. Our key assumption is that values of the Gibbs function of interchange w are different in the two coexisting phases: wS and wL. The assumption is based on the fact that the average interatomic distances R are also different, and this affects the averages of the interatomic (or intermolecular) potentials. The input parameters are enthalpies and temperatures of melting of pure components and any pair of experimental points on the diagram. For a number of binary alloy systems the agreement with the experiment is good. Since we believe in the basic unity of materials (see Chap. 1 in [7]), calcuations have also been made for organic mixtures, again with good results.

Type
Research Article
Copyright
Copyright © Materials Research Society 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Hansen, N. and Anderko, K., Constitution of Binary Alloys, 2nd ed. (McGraw-Hill, New York 1958).CrossRefGoogle Scholar
2. McGlashan, N.L., Chemical Thermodynamics (Academic Press, London-New York 1979).Google Scholar
3. Guggenheim, E.A., Mixtures (Oxford University Press 1952).Google Scholar
4. Guggenheim, E.A., Applications of Statistical Mechanics (Oxford University Press 1967).Google Scholar
5. Guggenheim, E.A., Thermoclynamics, 5th ed. (North Holland, Amsterdam 1966).Google Scholar
6. Malesinski, W., Aetoyand Other Theoretical Problems of Vapor-Liquid Equilibrium (PWN-Wiley, Warsaw-New York 1965).Google Scholar
7. Hultgren, R., Orr, R.L., Anderson, P.D. and Kelley, K.K., Selected Values of Thermodynamic Properties of Metals and Alloys (Wiley, New York-London 1963).Google Scholar
8. Brostow, W., Science of Materials (Wiley, New York-London 1979).Google Scholar
9. Macip, M.A. and Valerdi, M.A., submitted to Mater. Chem.Google Scholar
10. Shenkin, Ya. S., Zh. Fiz. Khim. 53, 2196 (1979).Google Scholar
11. Neijering, J.L., Philips Res. Rep. 18, 318 (1963).Google Scholar
12. Meijering, J.L., Physica B 103, 123 (1981).CrossRefGoogle Scholar
13. Hafner, J.,in this volume.Google Scholar
14. Z. Roszkowski, Mater. Chem. 6, 455 (1981).CrossRefGoogle Scholar
15. Flory, P.J., J. Amer. Chem. Soc. 49, 7 (1970).Google Scholar
16. Flory, P.J., Disc. FaradaX Soc. 49, 7 (1970).Google Scholar
17. Brostow, W. and Sochanski, J.S., J. Mater. Sci. 10, 2134 (1975).CrossRefGoogle Scholar