Skip to main content Accessibility help
×
Home
Hostname: page-component-558cb97cc8-fjc52 Total loading time: 0.243 Render date: 2022-10-06T11:17:58.662Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "useRatesEcommerce": false, "displayNetworkTab": true, "displayNetworkMapGraph": true, "useSa": true } hasContentIssue true

Electronic Energy and Short-Range Order in Binary Alloys

Published online by Cambridge University Press:  15 February 2011

Mark O. Robbins
Affiliation:
Department of Physics, University of California, Berkeley, California 94720
L.M. Falicov
Affiliation:
Department of Physics, University of California, Berkeley, California 94720
Get access

Abstract

An electronic theory for the total energy of binary alloys is presented. It treats the entire range of concentration and short-range order. The method in not ab initio, but requires only information about the pure elemental constituents of the alloy. Results for two very different metal series, monovalent metals and 4-d transition metals, are calculated and compared to experiment and other models. The model calculation allows us to examine the physical basis for experimental trends.

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. Williams, A.R., Gelatt, C.D. Jr. and Moruzzi, V.L., Phys. Rev. Lett. 44, 429 (1980).CrossRefGoogle Scholar
2. Gautier, F., van der Rest, J. and Brouers, F., J. Phys. F 5, 1884 (1975).CrossRefGoogle Scholar
3. van der Rest, J., Gautier, F. and Brouers, F., J. Phys. F 5, 2283 (1975).CrossRefGoogle Scholar
4. Pettifor, D.G., Phys. Rev. Lett. 42, 846 (1979).CrossRefGoogle Scholar
5. See however, Bieber, A., Gautier, F., Tréglia, G. and Ducastelle, F., Solid State Commun. 39, 149 (1981).CrossRefGoogle Scholar
6. Miedema, A.R., de Châtel, P.F. and de Boer, F.R., Physica (Utrecht) 100B, 1 (1980).Google Scholar
7. Brewer, L. and Lamoreaux, R.H., Atomic Energy Review, Special Issue No. 7 (International Atomic Energy Agency, Vienna, 1980) secs. I and II.Google Scholar
8. Machlin, E.S. in Theory of Alloy Phase Formation, Bennett, L.H. ed. (The Metallurgical Society of AIME, Warrendale, Penn., 1980) pp. 127193.Google Scholar
9. Kittler, R.C. and Falicov, L.M., Phys. Rev. B 18, 2506 (1978); 19, 527 (1979).CrossRefGoogle Scholar
10. Robbins, M.O. and Falicov, L.M., Phys. Rev. B 25, 2343 (1982).CrossRefGoogle Scholar
11. Elliot, R.J., Krumhausl, J.A. and Leath, P.L., Rev. Mod. Phys. 46, 465 (1974).CrossRefGoogle Scholar
12. Charge transfer fluctuations are generally small: D.D. Ling and C.D. Gelatt, Jr., IBM, Yorktown Heights, NY, to be published.Google Scholar
13. Williams, A.R., IBM, Yorktown Heights, NY, private communication.Google Scholar
14. Bethe, H.A., Proc. Roy. Soc. A 150, 552 (1935).Google Scholar
15. Haydock, R. in Solid State Physics, Ehrenreich, H., Seitz, F. and Turnbull, D. eds. (Academic, New York, 1980) 35, 216 (1980).Google Scholar
16. Schwartz, L.M., Phys. Rev. B 7, 4425 (1973).CrossRefGoogle Scholar
17. Brouers, F., Holzhey, Ch. and Franz, J. in Excitations in Disordered Systems, Thorpe, M.F. ed. (Plenum Press, New York, 1982) pp. 263285.Google Scholar
18. Moore, C.E., Atomic Energy Levels (U.S. Government Printing Office, Washington, D.C.) Vol. I (1949), Vol. II (1971) and Vol. III (1958).Google Scholar
19. Ham, F.S., Phys. Rev. 128, 82 (1962).CrossRefGoogle Scholar
20. Burdick, G.A., Phys. Rev. 129, 138 (1963).CrossRefGoogle Scholar
21. Christensen, N.E., Phys. Stat. Sol. (b) 54, 551 (1972).CrossRefGoogle Scholar
22. Christensen, N.E. and Seraphin, B.O., Phys. Rev. B 4, 3321 (1971).CrossRefGoogle Scholar
23. Moruzzi, V.L., Janak, J.F. and Williams, A.R., Calculated Electronic Properties of Metals (Pergamon Press Inc., Elmsford, NY, 1978).Google Scholar
24. Andersen, O.K., Physica (Utrecht) 91B, 317 (1977).Google Scholar
25. Slater, J.C. and Koster, G.F., Phys. Rev. 94, 1498 (1954).CrossRefGoogle Scholar
26. Ho, K.M., Louie, S.G., Chelikowsky, J.R. and Cohen, M.L., Phys. Rev. B 15, 1755 (1977).CrossRefGoogle Scholar
27. Harrison, W.A. and Froyen, S., Phys. Rev. B 21, 3214 (1980).CrossRefGoogle Scholar
28. Pickett, W.E. and Allen, P.B., Physics Letters 48A, 91 (1974).CrossRefGoogle Scholar
29. Singhal, S.C. and Worrell, W.L., Metall, Trans. 4, 1125 (1973).CrossRefGoogle Scholar
30. Myles, K.M., Trans. Metall. Soc. AIME 242, 1523 (1968).Google Scholar
31. Moffatt, W.G. ed., Handbook of Binary Phase Diagrams, (Business Growth Services, General Electric Co., Schenectady, NY 1977).Google Scholar
32. Hansen, M., Constitution of Binary Alloys (McGraw-Hill, New York, 1958);CrossRefGoogle Scholar
32a Elliot, R.P., Constitution of Binary Alloys McGraw-Hill, New York, First Supplement (1965);Google Scholar
32b Shunk, F.A., Constitution of Binary Alloys McGraw-Hill, New York, Second Supplement (1969).Google Scholar

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Electronic Energy and Short-Range Order in Binary Alloys
Available formats
×

Save article to Dropbox

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

Electronic Energy and Short-Range Order in Binary Alloys
Available formats
×

Save article to Google Drive

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

Electronic Energy and Short-Range Order in Binary Alloys
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *