Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-27T02:35:03.906Z Has data issue: false hasContentIssue false

An Inelastic Nuclear Resonant Scattering Study of Partial Entropies of Ordered and Disordered Fe3Al

Published online by Cambridge University Press:  10 February 2011

B. Fultz
Affiliation:
Div. Engineering and Applied Science, 138-78, California Institute of Technology, Pasadena, California 91125, [email protected]
W. Sturhahn
Affiliation:
Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439
T. S. Toellner
Affiliation:
Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439
E. E. Alp
Affiliation:
Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439
Get access

Abstract

Inelastic nuclear resonant scattering spectra were measured on alloys of Fe3Al that were chemically disordered, partially-ordered, and DO3-ordered. The phonon partial DOS for 57Fe atoms were extracted from these data, and the change upon disordering in the partial vibrational entropy of Fe atoms was obtained. By comparison to previous calorimetry measurements, it is shown that the contribution of the Fe atoms to the vibrational entropy is a factor of 10 smaller than that of the Al atoms. With the assistance of Born – von Kárán model calculations on the ordered alloy, it is shown that differences in the vibrational entropy originate primarily with changes in the optical modes upon disordering. The phonon DOS of 57Fe was found to change systematically with chemical short range order in the alloy. It is argued that changes in the vibrational entropy originate primarily with changes in the chemical short-range order in the alloy, as opposed to long-range order.

Type
Research Article
Copyright
Copyright © Materials Research Society 2000

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. Ducastelle, F., Order and Phase Stability in Alloys, (North Holland, Amsterdam, 1991).Google Scholar
2. Zunger, A. in Statics and Dynamics of Alloy Phase Transformations, Turchi, P. E. A. and Gonis, A., eds., (Plenum Press, New York, 1994) p. 361.10.1007/978-1-4615-2476-2_23Google Scholar
3. Okamoto, J. K., Ahn, C. C. and Fultz, B., Microbeam Analysis- 1990, edited by Michael, J. R. and Ingram, P. (San Francisco Press) 56 (1990).Google Scholar
4. Guillermet, A. F. and Grimvall, G., J. Phys. Chem. Solids 53, 105 (1992).10.1016/0022-3697(92)90019-AGoogle Scholar
5. Anthony, L., Okamoto, J. K. and Fultz, B., Phys. Rev. Lett. 70, 1128 (1993).10.1103/PhysRevLett.70.1128Google Scholar
6. Anthony, L., Nagel, L. J., Okamoto, J. K. and Fultz, B., Phys. Rev. Lett. 73, 3034 (1994).10.1103/PhysRevLett.73.3034Google Scholar
7. Fultz, B., Anthony, L., Nagel, L. J., Nicklow, R. M. and Spooner, S., Phys. Rev. B 52, 3315 (1995).10.1103/PhysRevB.52.3315Google Scholar
8. Bogdanoff, P. D. and Fultz, B., Philos. Mag. B 79, 753 (1999).10.1080/13642819908205747Google Scholar
9. Nagel, L. J., Anthony, L.., Okamoto, J. K., and Fultz, B., J. Phase Equilibria 18, 551 (1997).10.1007/BF02665810Google Scholar
10. Fultz, B., Stephens, T. A., Sturhahn, W., Toellner, T. S., and Alp, E. E., Phys. Rev. Lett. 80, 3304 (1998).10.1103/PhysRevLett.80.3304Google Scholar
11. Sturhahn, W., Toellner, T. S., Alp, E. E., Zhang, X., Ando, M., Yoda, Y., Kikuta, S., Seto, M., Kimball, C. W., Phys. Rev. Lett. 74, 3832 (1995).10.1103/PhysRevLett.74.3832Google Scholar
12. Seto, M., Yoda, Y., Kikuta, S., Zhang, X., and Ando, M., Phys. Rev. Lett. 74, 3828 (1995).10.1103/PhysRevLett.74.3828Google Scholar
13. Gerdau, E., Rüffer, R., Winkler, H., Tolksdorf, W., Klages, C. P., and Hannon, J. P., Phys. Rev. Lett. 54, 835 (1985).10.1103/PhysRevLett.54.835Google Scholar
14. Smirnov, G. V., Hyperfine Intract. 97-8, 551 (1996).10.1007/BF02150198Google Scholar
15. Dove, M. T., Introduction to Lattice Dynamics, (Cambridge Univ. Press, 1993) Chapter 6.10.1017/CBO9780511619885Google Scholar
16. Sears, V. F., Phys. Rev. A 7, 340 (1973).10.1103/PhysRevA.7.340Google Scholar
17. Hu, M. Y., Sturhahn, W., Toellner, T. S., Hession, P. M., Sutter, J. P., and Alp, E. E., Nucl. Instrum. Meth. A 428, 551 (1999).10.1016/S0168-9002(99)00134-5Google Scholar
18. Toellner, T. S., Hu, M. Y., Sturhahn, W., Quast, K., and Alp, E. E., Appl. Phys. Lett. 71, 2122 (1997).10.1063/1.120448Google Scholar
19. Gao, Z. Q. and Fultz, B., Philos. Mag. B 67, 787 (1993).10.1080/13642819308219325Google Scholar
20. Caër, G. Le and Dubois, J. M., J. Phys. E 12, 1083 (1979).10.1088/0022-3735/12/11/018Google Scholar
21. Okamoto, J. K., Ph.D. Thesis in Applied Physics, California Institute of Technology, May 6, 1993.Google Scholar
22. Disko, M. M., Ahn, C. C., and Fultz, B., eds., Transmission Electron Energy Loss Spectrometry in Materials Science, TMS EMPMD Monograph Series Vol. 2 (TMS, Warrendale, 1992) ISBN Number 0-87339-180-2. Second edition in preparation for publication by J. Wiley.Google Scholar
23. Marshall, W. and Lovesey, S. W., Theory of Thermal Neutron Scattering, (Oxford, London, 1971) p. 94.Google Scholar
24. Nagel, L. J., Fultz, B. and Robertson, J. L., Philos. Mag. B 5, 681 (1997).10.1080/13642819708202349Google Scholar
25. Dijk, C. Van, Phys. Lett. A 34, 255 (1970).10.1016/0375-9601(70)90309-9Google Scholar
26. Robertson, I. M., J. Phys.: Condens. Matter 3, 8181 (1991).Google Scholar
27. Beni, G. and Platzman, P. M., Phys. Rev. B 14, 1514 (1976).10.1103/PhysRevB.14.1514Google Scholar
28. Kentzinger, E., Cadeville, M. C., Pierron-Bohnes, V., Petry, W. and Hennion, B., J. Phys.: Condens. Matter 8, 5535 (1996).Google Scholar
29. Althoff, J. D., Morgan, D., Fontaine, D. de, Asta, M. D., Foiles, S. M. et al. , Phys. Rev. B 56, R5705 (1997).10.1103/PhysRevB.56.R5705Google Scholar
30. Althoff, J. D., Morgan, D., Fontaine, D. de, Asta, M. D., Foiles, S. M. et al. , Comp. Mater. Sci. 10, 411 (1998).10.1016/S0927-0256(97)00110-9Google Scholar
31. Ravelo, R., Aguilar, J., Baskes, M., Angelo, J. E., Fultz, B., and Holian, B. L., Phys. Rev. B 57, 862 (1998).10.1103/PhysRevB.57.862Google Scholar
32. Liu, S. J., Duan, S. Q. and Ma, B. K., Phys. Rev. B 58, 9705 (1998).Google Scholar
33. Walle, A. Van de, Ceder, G., and Waghmare, U. V., Phys. Rev. Lett. 80, 4911 (1998).10.1103/PhysRevLett.80.4911Google Scholar